TSTP Solution File: PUZ073+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ073+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 14:11:17 EDT 2022
% Result : Theorem 0.72s 0.78s
% Output : Proof 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ073+1 : TPTP v8.1.0. Released v3.5.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 18:50:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.72/0.78 % SZS status Theorem
% 0.72/0.78 % SZS output start Proof
% 0.72/0.78 tff(cell85_type, type, (
% 0.72/0.78 cell85: $i)).
% 0.72/0.78 tff(tptp_fun_Y_0_type, type, (
% 0.72/0.78 tptp_fun_Y_0: $i)).
% 0.72/0.78 tff(cell95_type, type, (
% 0.72/0.78 cell95: $i)).
% 0.72/0.78 tff(tptp_fun_X_1_type, type, (
% 0.72/0.78 tptp_fun_X_1: $i)).
% 0.72/0.78 tff(cell13_type, type, (
% 0.72/0.78 cell13: $i)).
% 0.72/0.78 tff(edge_type, type, (
% 0.72/0.78 edge: ( $i * $i ) > $o)).
% 0.72/0.78 tff(cell1_type, type, (
% 0.72/0.78 cell1: $i)).
% 0.72/0.78 tff(cell2_type, type, (
% 0.72/0.78 cell2: $i)).
% 0.72/0.78 tff(cell3_type, type, (
% 0.72/0.78 cell3: $i)).
% 0.72/0.78 tff(cell4_type, type, (
% 0.72/0.78 cell4: $i)).
% 0.72/0.78 tff(cell5_type, type, (
% 0.72/0.78 cell5: $i)).
% 0.72/0.78 tff(cell6_type, type, (
% 0.72/0.78 cell6: $i)).
% 0.72/0.78 tff(cell7_type, type, (
% 0.72/0.78 cell7: $i)).
% 0.72/0.78 tff(cell8_type, type, (
% 0.72/0.78 cell8: $i)).
% 0.72/0.78 tff(cell9_type, type, (
% 0.72/0.78 cell9: $i)).
% 0.72/0.78 tff(cell10_type, type, (
% 0.72/0.78 cell10: $i)).
% 0.72/0.78 tff(cell11_type, type, (
% 0.72/0.78 cell11: $i)).
% 0.72/0.78 tff(cell12_type, type, (
% 0.72/0.78 cell12: $i)).
% 0.72/0.78 tff(cell14_type, type, (
% 0.72/0.78 cell14: $i)).
% 0.72/0.78 tff(cell15_type, type, (
% 0.72/0.78 cell15: $i)).
% 0.72/0.78 tff(cell16_type, type, (
% 0.72/0.78 cell16: $i)).
% 0.72/0.78 tff(cell17_type, type, (
% 0.72/0.78 cell17: $i)).
% 0.72/0.78 tff(cell18_type, type, (
% 0.72/0.78 cell18: $i)).
% 0.72/0.78 tff(cell19_type, type, (
% 0.72/0.78 cell19: $i)).
% 0.72/0.78 tff(cell20_type, type, (
% 0.72/0.78 cell20: $i)).
% 0.72/0.78 tff(cell21_type, type, (
% 0.72/0.78 cell21: $i)).
% 0.72/0.78 tff(cell22_type, type, (
% 0.72/0.78 cell22: $i)).
% 0.72/0.78 tff(cell23_type, type, (
% 0.72/0.78 cell23: $i)).
% 0.72/0.78 tff(cell24_type, type, (
% 0.72/0.78 cell24: $i)).
% 0.72/0.78 tff(cell25_type, type, (
% 0.72/0.78 cell25: $i)).
% 0.72/0.78 tff(cell26_type, type, (
% 0.72/0.78 cell26: $i)).
% 0.72/0.78 tff(cell27_type, type, (
% 0.72/0.78 cell27: $i)).
% 0.72/0.78 tff(cell28_type, type, (
% 0.72/0.78 cell28: $i)).
% 0.72/0.78 tff(cell29_type, type, (
% 0.72/0.78 cell29: $i)).
% 0.72/0.78 tff(cell30_type, type, (
% 0.72/0.78 cell30: $i)).
% 0.72/0.78 tff(cell31_type, type, (
% 0.72/0.78 cell31: $i)).
% 0.72/0.78 tff(cell32_type, type, (
% 0.72/0.78 cell32: $i)).
% 0.72/0.78 tff(cell33_type, type, (
% 0.72/0.78 cell33: $i)).
% 0.72/0.78 tff(cell34_type, type, (
% 0.72/0.78 cell34: $i)).
% 0.72/0.78 tff(cell35_type, type, (
% 0.72/0.78 cell35: $i)).
% 0.72/0.78 tff(cell36_type, type, (
% 0.72/0.78 cell36: $i)).
% 0.72/0.78 tff(cell37_type, type, (
% 0.72/0.78 cell37: $i)).
% 0.72/0.78 tff(cell38_type, type, (
% 0.72/0.78 cell38: $i)).
% 0.72/0.78 tff(cell39_type, type, (
% 0.72/0.78 cell39: $i)).
% 0.72/0.78 tff(cell40_type, type, (
% 0.72/0.78 cell40: $i)).
% 0.72/0.78 tff(cell41_type, type, (
% 0.72/0.78 cell41: $i)).
% 0.72/0.78 tff(cell42_type, type, (
% 0.72/0.78 cell42: $i)).
% 0.72/0.78 tff(cell43_type, type, (
% 0.72/0.78 cell43: $i)).
% 0.72/0.78 tff(cell44_type, type, (
% 0.72/0.78 cell44: $i)).
% 0.72/0.78 tff(cell45_type, type, (
% 0.72/0.78 cell45: $i)).
% 0.72/0.78 tff(cell46_type, type, (
% 0.72/0.78 cell46: $i)).
% 0.72/0.78 tff(cell47_type, type, (
% 0.72/0.78 cell47: $i)).
% 0.72/0.78 tff(cell48_type, type, (
% 0.72/0.78 cell48: $i)).
% 0.72/0.78 tff(cell49_type, type, (
% 0.72/0.78 cell49: $i)).
% 0.72/0.78 tff(cell50_type, type, (
% 0.72/0.78 cell50: $i)).
% 0.72/0.78 tff(cell51_type, type, (
% 0.72/0.78 cell51: $i)).
% 0.72/0.78 tff(cell52_type, type, (
% 0.72/0.78 cell52: $i)).
% 0.72/0.78 tff(cell53_type, type, (
% 0.72/0.78 cell53: $i)).
% 0.72/0.78 tff(cell54_type, type, (
% 0.72/0.78 cell54: $i)).
% 0.72/0.78 tff(cell55_type, type, (
% 0.72/0.78 cell55: $i)).
% 0.72/0.78 tff(cell56_type, type, (
% 0.72/0.78 cell56: $i)).
% 0.72/0.78 tff(cell57_type, type, (
% 0.72/0.78 cell57: $i)).
% 0.72/0.78 tff(cell58_type, type, (
% 0.72/0.78 cell58: $i)).
% 0.72/0.78 tff(cell59_type, type, (
% 0.72/0.78 cell59: $i)).
% 0.72/0.78 tff(cell60_type, type, (
% 0.72/0.78 cell60: $i)).
% 0.72/0.78 tff(cell61_type, type, (
% 0.72/0.78 cell61: $i)).
% 0.72/0.78 tff(cell62_type, type, (
% 0.72/0.78 cell62: $i)).
% 0.72/0.78 tff(cell63_type, type, (
% 0.72/0.78 cell63: $i)).
% 0.72/0.78 tff(cell64_type, type, (
% 0.72/0.78 cell64: $i)).
% 0.72/0.78 tff(cell65_type, type, (
% 0.72/0.78 cell65: $i)).
% 0.72/0.78 tff(cell66_type, type, (
% 0.72/0.78 cell66: $i)).
% 0.72/0.78 tff(cell67_type, type, (
% 0.72/0.78 cell67: $i)).
% 0.72/0.78 tff(cell68_type, type, (
% 0.72/0.78 cell68: $i)).
% 0.72/0.78 tff(cell69_type, type, (
% 0.72/0.78 cell69: $i)).
% 0.72/0.78 tff(cell70_type, type, (
% 0.72/0.78 cell70: $i)).
% 0.72/0.78 tff(cell71_type, type, (
% 0.72/0.78 cell71: $i)).
% 0.72/0.78 tff(cell72_type, type, (
% 0.72/0.78 cell72: $i)).
% 0.72/0.78 tff(cell73_type, type, (
% 0.72/0.78 cell73: $i)).
% 0.72/0.78 tff(cell74_type, type, (
% 0.72/0.78 cell74: $i)).
% 0.72/0.78 tff(cell75_type, type, (
% 0.72/0.78 cell75: $i)).
% 0.72/0.78 tff(cell76_type, type, (
% 0.72/0.78 cell76: $i)).
% 0.72/0.78 tff(cell77_type, type, (
% 0.72/0.78 cell77: $i)).
% 0.72/0.78 tff(cell78_type, type, (
% 0.72/0.78 cell78: $i)).
% 0.72/0.78 tff(cell79_type, type, (
% 0.72/0.78 cell79: $i)).
% 0.72/0.78 tff(cell80_type, type, (
% 0.72/0.78 cell80: $i)).
% 0.72/0.78 tff(cell81_type, type, (
% 0.72/0.78 cell81: $i)).
% 0.72/0.78 tff(cell82_type, type, (
% 0.72/0.78 cell82: $i)).
% 0.72/0.78 tff(cell83_type, type, (
% 0.72/0.78 cell83: $i)).
% 0.72/0.78 tff(cell84_type, type, (
% 0.72/0.78 cell84: $i)).
% 0.72/0.78 tff(cell86_type, type, (
% 0.72/0.78 cell86: $i)).
% 0.72/0.78 tff(cell87_type, type, (
% 0.72/0.78 cell87: $i)).
% 0.72/0.78 tff(cell88_type, type, (
% 0.72/0.78 cell88: $i)).
% 0.72/0.78 tff(cell89_type, type, (
% 0.72/0.78 cell89: $i)).
% 0.72/0.78 tff(cell90_type, type, (
% 0.72/0.78 cell90: $i)).
% 0.72/0.78 tff(cell91_type, type, (
% 0.72/0.78 cell91: $i)).
% 0.72/0.78 tff(cell92_type, type, (
% 0.72/0.78 cell92: $i)).
% 0.72/0.78 tff(cell93_type, type, (
% 0.72/0.79 cell93: $i)).
% 0.72/0.79 tff(cell94_type, type, (
% 0.72/0.79 cell94: $i)).
% 0.72/0.79 tff(cell96_type, type, (
% 0.72/0.79 cell96: $i)).
% 0.72/0.79 tff(cell97_type, type, (
% 0.72/0.79 cell97: $i)).
% 0.72/0.79 tff(cell98_type, type, (
% 0.72/0.79 cell98: $i)).
% 0.72/0.79 tff(cell99_type, type, (
% 0.72/0.79 cell99: $i)).
% 0.72/0.79 tff(cell100_type, type, (
% 0.72/0.79 cell100: $i)).
% 0.72/0.79 tff(patient_type, type, (
% 0.72/0.79 patient: $i > $o)).
% 0.72/0.79 tff(oxygen_type, type, (
% 0.72/0.79 oxygen: $i > $o)).
% 0.72/0.79 tff(adj_type, type, (
% 0.72/0.79 adj: ( $i * $i ) > $o)).
% 0.72/0.79 tff(1,plain,
% 0.72/0.79 ((cell13 = cell95) <=> (cell95 = cell13)),
% 0.72/0.79 inference(commutativity,[status(thm)],[])).
% 0.72/0.79 tff(2,plain,
% 0.72/0.79 ((cell95 = X!1) <=> (X!1 = cell95)),
% 0.72/0.79 inference(commutativity,[status(thm)],[])).
% 0.72/0.79 tff(3,plain,
% 0.72/0.79 ((~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))) <=> (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y)))))),
% 0.72/0.79 inference(rewrite,[status(thm)],[])).
% 0.72/0.79 tff(4,plain,
% 0.72/0.79 ((~![X: $i, Y: $i] : ((patient(X) & oxygen(Y)) => (~adj(X, Y)))) <=> (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y)))))),
% 0.72/0.79 inference(rewrite,[status(thm)],[])).
% 0.72/0.79 tff(5,axiom,(~![X: $i, Y: $i] : ((patient(X) & oxygen(Y)) => (~adj(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49932')).
% 0.72/0.79 tff(6,plain,
% 0.72/0.79 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.72/0.79 tff(7,plain,
% 0.72/0.79 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.72/0.79 tff(8,plain,
% 0.72/0.79 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.72/0.79 tff(9,plain,
% 0.72/0.79 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.72/0.79 tff(10,plain,
% 0.72/0.79 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.72/0.79 tff(11,plain,
% 0.72/0.79 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.72/0.79 tff(12,plain,
% 0.72/0.79 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.72/0.79 tff(13,plain,(
% 0.72/0.79 ~((~adj(X!1, Y!0)) | (~(patient(X!1) & oxygen(Y!0))))),
% 0.72/0.79 inference(skolemize,[status(sab)],[12])).
% 0.72/0.79 tff(14,plain,
% 0.72/0.79 (patient(X!1) & oxygen(Y!0)),
% 0.72/0.79 inference(or_elim,[status(thm)],[13])).
% 0.72/0.79 tff(15,plain,
% 0.72/0.79 (patient(X!1)),
% 0.72/0.79 inference(and_elim,[status(thm)],[14])).
% 0.72/0.79 tff(16,plain,
% 0.72/0.79 (^[Y: $i, X: $i] : refl(((X = Y) | (~patient(X)) | (~patient(Y))) <=> ((X = Y) | (~patient(X)) | (~patient(Y))))),
% 0.72/0.79 inference(bind,[status(th)],[])).
% 0.72/0.79 tff(17,plain,
% 0.72/0.79 (![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y))) <=> ![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))),
% 0.72/0.79 inference(quant_intro,[status(thm)],[16])).
% 0.72/0.79 tff(18,plain,
% 0.72/0.79 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((patient(X) & patient(Y)) <=> (~((~patient(X)) | (~patient(Y))))), ((~(patient(X) & patient(Y))) <=> (~(~((~patient(X)) | (~patient(Y))))))), rewrite((~(~((~patient(X)) | (~patient(Y))))) <=> ((~patient(X)) | (~patient(Y)))), ((~(patient(X) & patient(Y))) <=> ((~patient(X)) | (~patient(Y))))), (((~(patient(X) & patient(Y))) | (X = Y)) <=> (((~patient(X)) | (~patient(Y))) | (X = Y)))), rewrite((((~patient(X)) | (~patient(Y))) | (X = Y)) <=> ((X = Y) | (~patient(X)) | (~patient(Y)))), (((~(patient(X) & patient(Y))) | (X = Y)) <=> ((X = Y) | (~patient(X)) | (~patient(Y)))))),
% 0.72/0.79 inference(bind,[status(th)],[])).
% 0.72/0.79 tff(19,plain,
% 0.72/0.79 (![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))),
% 0.72/0.79 inference(quant_intro,[status(thm)],[18])).
% 0.72/0.79 tff(20,plain,
% 0.72/0.79 (![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.72/0.79 inference(rewrite,[status(thm)],[])).
% 0.72/0.79 tff(21,plain,
% 0.72/0.79 (^[Y: $i, X: $i] : rewrite(((patient(X) & patient(Y)) => (X = Y)) <=> ((~(patient(X) & patient(Y))) | (X = Y)))),
% 0.72/0.79 inference(bind,[status(th)],[])).
% 0.72/0.79 tff(22,plain,
% 0.72/0.79 (![Y: $i, X: $i] : ((patient(X) & patient(Y)) => (X = Y)) <=> ![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.72/0.79 inference(quant_intro,[status(thm)],[21])).
% 0.72/0.79 tff(23,axiom,(![Y: $i, X: $i] : ((patient(X) & patient(Y)) => (X = Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44978')).
% 0.72/0.79 tff(24,plain,
% 0.72/0.79 (![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.72/0.79 tff(25,plain,
% 0.72/0.79 (![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.72/0.79 tff(26,plain,(
% 0.72/0.79 ![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.72/0.79 inference(skolemize,[status(sab)],[25])).
% 0.72/0.79 tff(27,plain,
% 0.72/0.79 (![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[26, 19])).
% 0.72/0.79 tff(28,plain,
% 0.72/0.79 (![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))),
% 0.72/0.79 inference(modus_ponens,[status(thm)],[27, 17])).
% 0.72/0.79 tff(29,assumption,(~(X!1 = cell13)), introduced(assumption)).
% 0.72/0.79 tff(30,assumption,(~patient(cell2)), introduced(assumption)).
% 0.72/0.79 tff(31,assumption,((X!1 = cell78) | (X!1 = cell69) | (~((~(X!1 = cell90)) | (~(cell79 = cell100)))) | (~((~(X!1 = cell88)) | (~(cell79 = cell98)))) | (~((~(X!1 = cell89)) | (~(cell79 = cell99)))) | (~((~(X!1 = cell87)) | (~(cell79 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell79 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell79 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell79 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell79 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell79 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell79 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell79 = cell90)))) | (~((~(X!1 = cell79)) | (~(cell79 = cell89)))) | (~((~(X!1 = cell78)) | (~(cell79 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell79 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell79 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell79 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell79 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell79 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell79 = cell82)))) | (~((~(X!1 = cell71)) | 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% 0.72/0.80 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.72/0.80 tff(98,plain,
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% 0.72/0.80 inference(modus_ponens,[status(thm)],[97, 94])).
% 0.72/0.80 tff(99,plain,
% 0.72/0.80 (((~(X!1 = cell5)) | (~(cell79 = cell6))) | (cell79 = cell6)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(100,plain,
% 0.72/0.80 ((~(X!1 = cell5)) | (~(cell79 = cell6))),
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% 0.72/0.80 tff(101,plain,
% 0.72/0.80 ((cell79 = cell7) <=> (cell7 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
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% 0.72/0.80 ((cell7 = cell79) <=> (cell79 = cell7)),
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% 0.72/0.80 ((~(cell7 = cell79)) <=> (~(cell79 = cell7))),
% 0.72/0.80 inference(monotonicity,[status(thm)],[102])).
% 0.72/0.80 tff(104,plain,
% 0.72/0.80 ((~(cell7 = cell79)) <=> (~(cell7 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(105,axiom,(~(cell7 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49818')).
% 0.72/0.80 tff(106,plain,
% 0.72/0.80 (~(cell7 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.72/0.80 tff(107,plain,
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% 0.72/0.80 inference(modus_ponens,[status(thm)],[106, 103])).
% 0.72/0.80 tff(108,plain,
% 0.72/0.80 (((~(X!1 = cell6)) | (~(cell79 = cell7))) | (cell79 = cell7)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
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% 0.72/0.80 ((cell79 = cell8) <=> (cell8 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
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% 0.72/0.80 ((cell8 = cell79) <=> (cell79 = cell8)),
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% 0.72/0.80 ((~(cell8 = cell79)) <=> (~(cell79 = cell8))),
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% 0.72/0.80 tff(113,plain,
% 0.72/0.80 ((~(cell8 = cell79)) <=> (~(cell8 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(114,axiom,(~(cell8 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49803')).
% 0.72/0.80 tff(115,plain,
% 0.72/0.80 (~(cell8 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.72/0.80 tff(116,plain,
% 0.72/0.80 (~(cell79 = cell8)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[115, 112])).
% 0.72/0.80 tff(117,plain,
% 0.72/0.80 (((~(X!1 = cell7)) | (~(cell79 = cell8))) | (cell79 = cell8)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
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% 0.72/0.80 ((cell79 = cell9) <=> (cell9 = cell79)),
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% 0.72/0.80 ((~(cell9 = cell79)) <=> (~(cell79 = cell9))),
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% 0.72/0.80 tff(122,plain,
% 0.72/0.80 ((~(cell9 = cell79)) <=> (~(cell9 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(123,axiom,(~(cell9 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49787')).
% 0.72/0.80 tff(124,plain,
% 0.72/0.80 (~(cell9 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.72/0.80 tff(125,plain,
% 0.72/0.80 (~(cell79 = cell9)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[124, 121])).
% 0.72/0.80 tff(126,plain,
% 0.72/0.80 (((~(X!1 = cell8)) | (~(cell79 = cell9))) | (cell79 = cell9)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
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% 0.72/0.80 ((cell79 = cell10) <=> (cell10 = cell79)),
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% 0.72/0.80 ((~(cell10 = cell79)) <=> (~(cell79 = cell10))),
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% 0.72/0.80 ((~(cell10 = cell79)) <=> (~(cell10 = cell79))),
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% 0.72/0.80 tff(132,axiom,(~(cell10 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49770')).
% 0.72/0.80 tff(133,plain,
% 0.72/0.80 (~(cell10 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.72/0.80 tff(134,plain,
% 0.72/0.80 (~(cell79 = cell10)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[133, 130])).
% 0.72/0.80 tff(135,plain,
% 0.72/0.80 (((~(X!1 = cell9)) | (~(cell79 = cell10))) | (cell79 = cell10)),
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% 0.72/0.80 ((~(cell79 = cell12)) <=> (~(cell79 = cell12))),
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% 0.72/0.80 tff(138,axiom,(~(cell79 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49905')).
% 0.72/0.80 tff(139,plain,
% 0.72/0.80 (~(cell79 = cell12)),
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% 0.72/0.80 tff(143,axiom,(~(cell79 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49908')).
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% 0.72/0.80 tff(151,axiom,(~(cell14 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49752')).
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% 0.72/0.80 tff(160,axiom,(~(cell15 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49733')).
% 0.72/0.80 tff(161,plain,
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% 0.72/0.80 tff(169,axiom,(~(cell16 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49713')).
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% 0.72/0.80 tff(178,axiom,(~(cell17 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49692')).
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% 0.72/0.80 tff(187,axiom,(~(cell18 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49670')).
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% 0.72/0.80 tff(196,axiom,(~(cell19 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49647')).
% 0.72/0.80 tff(197,plain,
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% 0.72/0.80 tff(205,axiom,(~(cell20 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49623')).
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% 0.72/0.80 ((~(cell23 = cell79)) <=> (~(cell23 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(219,axiom,(~(cell23 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49572')).
% 0.72/0.80 tff(220,plain,
% 0.72/0.80 (~(cell23 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.72/0.80 tff(221,plain,
% 0.72/0.80 (~(cell79 = cell23)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[220, 217])).
% 0.72/0.80 tff(222,plain,
% 0.72/0.80 (((~(X!1 = cell22)) | (~(cell79 = cell23))) | (cell79 = cell23)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(223,plain,
% 0.72/0.80 ((~(X!1 = cell22)) | (~(cell79 = cell23))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[222, 221])).
% 0.72/0.80 tff(224,plain,
% 0.72/0.80 ((cell79 = cell24) <=> (cell24 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(225,plain,
% 0.72/0.80 ((cell24 = cell79) <=> (cell79 = cell24)),
% 0.72/0.80 inference(symmetry,[status(thm)],[224])).
% 0.72/0.80 tff(226,plain,
% 0.72/0.80 ((~(cell24 = cell79)) <=> (~(cell79 = cell24))),
% 0.72/0.80 inference(monotonicity,[status(thm)],[225])).
% 0.72/0.80 tff(227,plain,
% 0.72/0.80 ((~(cell24 = cell79)) <=> (~(cell24 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(228,axiom,(~(cell24 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49545')).
% 0.72/0.80 tff(229,plain,
% 0.72/0.80 (~(cell24 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.72/0.80 tff(230,plain,
% 0.72/0.80 (~(cell79 = cell24)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[229, 226])).
% 0.72/0.80 tff(231,plain,
% 0.72/0.80 (((~(X!1 = cell23)) | (~(cell79 = cell24))) | (cell79 = cell24)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(232,plain,
% 0.72/0.80 ((~(X!1 = cell23)) | (~(cell79 = cell24))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[231, 230])).
% 0.72/0.80 tff(233,plain,
% 0.72/0.80 ((cell79 = cell25) <=> (cell25 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(234,plain,
% 0.72/0.80 ((cell25 = cell79) <=> (cell79 = cell25)),
% 0.72/0.80 inference(symmetry,[status(thm)],[233])).
% 0.72/0.80 tff(235,plain,
% 0.72/0.80 ((~(cell25 = cell79)) <=> (~(cell79 = cell25))),
% 0.72/0.80 inference(monotonicity,[status(thm)],[234])).
% 0.72/0.80 tff(236,plain,
% 0.72/0.80 ((~(cell25 = cell79)) <=> (~(cell25 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(237,axiom,(~(cell25 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49517')).
% 0.72/0.80 tff(238,plain,
% 0.72/0.80 (~(cell25 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.72/0.80 tff(239,plain,
% 0.72/0.80 (~(cell79 = cell25)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[238, 235])).
% 0.72/0.80 tff(240,plain,
% 0.72/0.80 (((~(X!1 = cell24)) | (~(cell79 = cell25))) | (cell79 = cell25)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(241,plain,
% 0.72/0.80 ((~(X!1 = cell24)) | (~(cell79 = cell25))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[240, 239])).
% 0.72/0.80 tff(242,plain,
% 0.72/0.80 ((cell79 = cell26) <=> (cell26 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(243,plain,
% 0.72/0.80 ((cell26 = cell79) <=> (cell79 = cell26)),
% 0.72/0.80 inference(symmetry,[status(thm)],[242])).
% 0.72/0.80 tff(244,plain,
% 0.72/0.80 ((~(cell26 = cell79)) <=> (~(cell79 = cell26))),
% 0.72/0.80 inference(monotonicity,[status(thm)],[243])).
% 0.72/0.80 tff(245,plain,
% 0.72/0.80 ((~(cell26 = cell79)) <=> (~(cell26 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(246,axiom,(~(cell26 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49488')).
% 0.72/0.80 tff(247,plain,
% 0.72/0.80 (~(cell26 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.72/0.80 tff(248,plain,
% 0.72/0.80 (~(cell79 = cell26)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[247, 244])).
% 0.72/0.80 tff(249,plain,
% 0.72/0.80 (((~(X!1 = cell25)) | (~(cell79 = cell26))) | (cell79 = cell26)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(250,plain,
% 0.72/0.80 ((~(X!1 = cell25)) | (~(cell79 = cell26))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[249, 248])).
% 0.72/0.80 tff(251,plain,
% 0.72/0.80 ((cell79 = cell27) <=> (cell27 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(252,plain,
% 0.72/0.80 ((cell27 = cell79) <=> (cell79 = cell27)),
% 0.72/0.80 inference(symmetry,[status(thm)],[251])).
% 0.72/0.80 tff(253,plain,
% 0.72/0.80 ((~(cell27 = cell79)) <=> (~(cell79 = cell27))),
% 0.72/0.80 inference(monotonicity,[status(thm)],[252])).
% 0.72/0.80 tff(254,plain,
% 0.72/0.80 ((~(cell27 = cell79)) <=> (~(cell27 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(255,axiom,(~(cell27 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49458')).
% 0.72/0.80 tff(256,plain,
% 0.72/0.80 (~(cell27 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[255, 254])).
% 0.72/0.80 tff(257,plain,
% 0.72/0.80 (~(cell79 = cell27)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[256, 253])).
% 0.72/0.80 tff(258,plain,
% 0.72/0.80 (((~(X!1 = cell26)) | (~(cell79 = cell27))) | (cell79 = cell27)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(259,plain,
% 0.72/0.80 ((~(X!1 = cell26)) | (~(cell79 = cell27))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[258, 257])).
% 0.72/0.80 tff(260,plain,
% 0.72/0.80 ((cell79 = cell28) <=> (cell28 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(261,plain,
% 0.72/0.80 ((cell28 = cell79) <=> (cell79 = cell28)),
% 0.72/0.80 inference(symmetry,[status(thm)],[260])).
% 0.72/0.80 tff(262,plain,
% 0.72/0.80 ((~(cell28 = cell79)) <=> (~(cell79 = cell28))),
% 0.72/0.80 inference(monotonicity,[status(thm)],[261])).
% 0.72/0.80 tff(263,plain,
% 0.72/0.80 ((~(cell28 = cell79)) <=> (~(cell28 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(264,axiom,(~(cell28 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49427')).
% 0.72/0.80 tff(265,plain,
% 0.72/0.80 (~(cell28 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.72/0.80 tff(266,plain,
% 0.72/0.80 (~(cell79 = cell28)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[265, 262])).
% 0.72/0.80 tff(267,plain,
% 0.72/0.80 (((~(X!1 = cell27)) | (~(cell79 = cell28))) | (cell79 = cell28)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(268,plain,
% 0.72/0.80 ((~(X!1 = cell27)) | (~(cell79 = cell28))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[267, 266])).
% 0.72/0.80 tff(269,plain,
% 0.72/0.80 ((cell79 = cell29) <=> (cell29 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(270,plain,
% 0.72/0.80 ((cell29 = cell79) <=> (cell79 = cell29)),
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% 0.72/0.80 tff(271,plain,
% 0.72/0.80 ((~(cell29 = cell79)) <=> (~(cell79 = cell29))),
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% 0.72/0.80 tff(272,plain,
% 0.72/0.80 ((~(cell29 = cell79)) <=> (~(cell29 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(273,axiom,(~(cell29 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49395')).
% 0.72/0.80 tff(274,plain,
% 0.72/0.80 (~(cell29 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.72/0.80 tff(275,plain,
% 0.72/0.80 (~(cell79 = cell29)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[274, 271])).
% 0.72/0.80 tff(276,plain,
% 0.72/0.80 (((~(X!1 = cell28)) | (~(cell79 = cell29))) | (cell79 = cell29)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(277,plain,
% 0.72/0.80 ((~(X!1 = cell28)) | (~(cell79 = cell29))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[276, 275])).
% 0.72/0.80 tff(278,plain,
% 0.72/0.80 ((cell79 = cell30) <=> (cell30 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(279,plain,
% 0.72/0.80 ((cell30 = cell79) <=> (cell79 = cell30)),
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% 0.72/0.80 tff(280,plain,
% 0.72/0.80 ((~(cell30 = cell79)) <=> (~(cell79 = cell30))),
% 0.72/0.80 inference(monotonicity,[status(thm)],[279])).
% 0.72/0.80 tff(281,plain,
% 0.72/0.80 ((~(cell30 = cell79)) <=> (~(cell30 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(282,axiom,(~(cell30 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49362')).
% 0.72/0.80 tff(283,plain,
% 0.72/0.80 (~(cell30 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[282, 281])).
% 0.72/0.80 tff(284,plain,
% 0.72/0.80 (~(cell79 = cell30)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[283, 280])).
% 0.72/0.80 tff(285,plain,
% 0.72/0.80 (((~(X!1 = cell29)) | (~(cell79 = cell30))) | (cell79 = cell30)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(286,plain,
% 0.72/0.80 ((~(X!1 = cell29)) | (~(cell79 = cell30))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[285, 284])).
% 0.72/0.80 tff(287,plain,
% 0.72/0.80 ((cell79 = cell32) <=> (cell32 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(288,plain,
% 0.72/0.80 ((cell32 = cell79) <=> (cell79 = cell32)),
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% 0.72/0.80 ((~(cell32 = cell79)) <=> (~(cell79 = cell32))),
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% 0.72/0.80 tff(290,plain,
% 0.72/0.80 ((~(cell32 = cell79)) <=> (~(cell32 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(291,axiom,(~(cell32 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49328')).
% 0.72/0.80 tff(292,plain,
% 0.72/0.80 (~(cell32 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[291, 290])).
% 0.72/0.80 tff(293,plain,
% 0.72/0.80 (~(cell79 = cell32)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[292, 289])).
% 0.72/0.80 tff(294,plain,
% 0.72/0.80 (((~(X!1 = cell31)) | (~(cell79 = cell32))) | (cell79 = cell32)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(295,plain,
% 0.72/0.80 ((~(X!1 = cell31)) | (~(cell79 = cell32))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[294, 293])).
% 0.72/0.80 tff(296,plain,
% 0.72/0.80 ((cell79 = cell33) <=> (cell33 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(297,plain,
% 0.72/0.80 ((cell33 = cell79) <=> (cell79 = cell33)),
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% 0.72/0.80 tff(298,plain,
% 0.72/0.80 ((~(cell33 = cell79)) <=> (~(cell79 = cell33))),
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% 0.72/0.80 tff(299,plain,
% 0.72/0.80 ((~(cell33 = cell79)) <=> (~(cell33 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(300,axiom,(~(cell33 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49257')).
% 0.72/0.80 tff(301,plain,
% 0.72/0.80 (~(cell33 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.72/0.80 tff(302,plain,
% 0.72/0.80 (~(cell79 = cell33)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[301, 298])).
% 0.72/0.80 tff(303,plain,
% 0.72/0.80 (((~(X!1 = cell32)) | (~(cell79 = cell33))) | (cell79 = cell33)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(304,plain,
% 0.72/0.80 ((~(X!1 = cell32)) | (~(cell79 = cell33))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[303, 302])).
% 0.72/0.80 tff(305,plain,
% 0.72/0.80 ((cell79 = cell34) <=> (cell34 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(306,plain,
% 0.72/0.80 ((cell34 = cell79) <=> (cell79 = cell34)),
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% 0.72/0.80 tff(307,plain,
% 0.72/0.80 ((~(cell34 = cell79)) <=> (~(cell79 = cell34))),
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% 0.72/0.80 tff(308,plain,
% 0.72/0.80 ((~(cell34 = cell79)) <=> (~(cell34 = cell79))),
% 0.72/0.80 inference(rewrite,[status(thm)],[])).
% 0.72/0.80 tff(309,axiom,(~(cell34 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49220')).
% 0.72/0.80 tff(310,plain,
% 0.72/0.80 (~(cell34 = cell79)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[309, 308])).
% 0.72/0.80 tff(311,plain,
% 0.72/0.80 (~(cell79 = cell34)),
% 0.72/0.80 inference(modus_ponens,[status(thm)],[310, 307])).
% 0.72/0.80 tff(312,plain,
% 0.72/0.80 (((~(X!1 = cell33)) | (~(cell79 = cell34))) | (cell79 = cell34)),
% 0.72/0.80 inference(tautology,[status(thm)],[])).
% 0.72/0.80 tff(313,plain,
% 0.72/0.80 ((~(X!1 = cell33)) | (~(cell79 = cell34))),
% 0.72/0.80 inference(unit_resolution,[status(thm)],[312, 311])).
% 0.72/0.80 tff(314,plain,
% 0.72/0.80 ((cell79 = cell35) <=> (cell35 = cell79)),
% 0.72/0.80 inference(commutativity,[status(thm)],[])).
% 0.72/0.80 tff(315,plain,
% 0.72/0.80 ((cell35 = cell79) <=> (cell79 = cell35)),
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% 0.72/0.80 tff(316,plain,
% 0.72/0.80 ((~(cell35 = cell79)) <=> (~(cell79 = cell35))),
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% 0.72/0.81 tff(317,plain,
% 0.72/0.81 ((~(cell35 = cell79)) <=> (~(cell35 = cell79))),
% 0.72/0.81 inference(rewrite,[status(thm)],[])).
% 0.72/0.81 tff(318,axiom,(~(cell35 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49182')).
% 0.72/0.81 tff(319,plain,
% 0.72/0.81 (~(cell35 = cell79)),
% 0.72/0.81 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.72/0.81 tff(320,plain,
% 0.72/0.81 (~(cell79 = cell35)),
% 0.72/0.81 inference(modus_ponens,[status(thm)],[319, 316])).
% 0.72/0.81 tff(321,plain,
% 0.72/0.81 (((~(X!1 = cell34)) | (~(cell79 = cell35))) | (cell79 = cell35)),
% 0.72/0.81 inference(tautology,[status(thm)],[])).
% 0.72/0.81 tff(322,plain,
% 0.72/0.81 ((~(X!1 = cell34)) | (~(cell79 = cell35))),
% 0.72/0.81 inference(unit_resolution,[status(thm)],[321, 320])).
% 0.72/0.81 tff(323,plain,
% 0.72/0.81 ((cell79 = cell36) <=> (cell36 = cell79)),
% 0.72/0.81 inference(commutativity,[status(thm)],[])).
% 0.72/0.81 tff(324,plain,
% 0.72/0.81 ((cell36 = cell79) <=> (cell79 = cell36)),
% 0.72/0.81 inference(symmetry,[status(thm)],[323])).
% 0.72/0.81 tff(325,plain,
% 0.72/0.81 ((~(cell36 = cell79)) <=> (~(cell79 = cell36))),
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% 0.72/0.81 tff(326,plain,
% 0.72/0.81 ((~(cell36 = cell79)) <=> (~(cell36 = cell79))),
% 0.72/0.81 inference(rewrite,[status(thm)],[])).
% 0.72/0.81 tff(327,axiom,(~(cell36 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49143')).
% 0.72/0.81 tff(328,plain,
% 0.72/0.81 (~(cell36 = cell79)),
% 0.72/0.81 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.72/0.81 tff(329,plain,
% 0.72/0.81 (~(cell79 = cell36)),
% 0.72/0.81 inference(modus_ponens,[status(thm)],[328, 325])).
% 0.72/0.81 tff(330,plain,
% 0.72/0.81 (((~(X!1 = cell35)) | (~(cell79 = cell36))) | (cell79 = cell36)),
% 0.72/0.81 inference(tautology,[status(thm)],[])).
% 0.72/0.81 tff(331,plain,
% 0.72/0.81 ((~(X!1 = cell35)) | (~(cell79 = cell36))),
% 0.72/0.81 inference(unit_resolution,[status(thm)],[330, 329])).
% 0.72/0.81 tff(332,plain,
% 0.72/0.81 ((cell79 = cell37) <=> (cell37 = cell79)),
% 0.72/0.81 inference(commutativity,[status(thm)],[])).
% 0.72/0.81 tff(333,plain,
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% 0.72/0.81 inference(symmetry,[status(thm)],[332])).
% 0.72/0.81 tff(334,plain,
% 0.72/0.81 ((~(cell37 = cell79)) <=> (~(cell79 = cell37))),
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% 0.72/0.81 tff(335,plain,
% 0.72/0.81 ((~(cell37 = cell79)) <=> (~(cell37 = cell79))),
% 0.72/0.81 inference(rewrite,[status(thm)],[])).
% 0.72/0.81 tff(336,axiom,(~(cell37 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49103')).
% 0.72/0.81 tff(337,plain,
% 0.72/0.81 (~(cell37 = cell79)),
% 0.72/0.81 inference(modus_ponens,[status(thm)],[336, 335])).
% 0.72/0.81 tff(338,plain,
% 0.72/0.81 (~(cell79 = cell37)),
% 0.72/0.81 inference(modus_ponens,[status(thm)],[337, 334])).
% 0.72/0.81 tff(339,plain,
% 0.72/0.81 (((~(X!1 = cell36)) | (~(cell79 = cell37))) | (cell79 = cell37)),
% 0.72/0.81 inference(tautology,[status(thm)],[])).
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% 0.72/0.81 tff(462,axiom,(~(cell53 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48327')).
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% 0.72/0.81 inference(modus_ponens,[status(thm)],[462, 461])).
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% 0.72/0.81 inference(modus_ponens,[status(thm)],[463, 460])).
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% 0.80/0.87 tff(1096,plain,
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% 0.80/0.87 tff(1097,assumption,(~(cell13 = X!1)), introduced(assumption)).
% 0.80/0.87 tff(1098,assumption,(patient(cell13)), introduced(assumption)).
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% 0.80/0.87 tff(1105,plain,
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% 0.80/0.87 tff(1106,plain,((~patient(cell13)) | (cell13 = X!1)), inference(lemma,lemma(discharge,[]))).
% 0.80/0.87 tff(1107,plain,
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% 0.80/0.87 inference(unit_resolution,[status(thm)],[1106, 1096])).
% 0.80/0.87 tff(1108,assumption,(X!1 = cell78), introduced(assumption)).
% 0.80/0.87 tff(1109,plain,
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% 0.80/0.87 tff(1110,plain,
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% 0.80/0.87 inference(modus_ponens,[status(thm)],[15, 1111])).
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% 0.80/0.87 tff(1114,axiom,(~(cell78 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46609')).
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% 0.80/0.87 tff(1116,assumption,(~patient(cell13)), introduced(assumption)).
% 0.80/0.87 tff(1117,assumption,(~patient(cell11)), introduced(assumption)).
% 0.80/0.87 tff(1118,plain,
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% 0.80/0.87 inference(monotonicity,[status(thm)],[1120])).
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% 0.80/0.87 tff(1123,axiom,(~(cell78 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46605')).
% 0.80/0.87 tff(1124,plain,
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% 0.80/0.87 inference(modus_ponens,[status(thm)],[1124, 1121])).
% 0.80/0.87 tff(1126,assumption,(~(cell12 = X!1)), introduced(assumption)).
% 0.80/0.87 tff(1127,assumption,(patient(cell12)), introduced(assumption)).
% 0.80/0.87 tff(1128,plain,
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% 0.80/0.87 tff(1130,plain,
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% 0.80/0.87 tff(1131,plain,
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% 0.80/0.87 tff(1132,plain,((~patient(cell12)) | (cell12 = X!1)), inference(lemma,lemma(discharge,[]))).
% 0.80/0.87 tff(1133,plain,
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% 0.80/0.87 tff(1145,axiom,((((patient(cell12) | patient(cell11)) | patient(cell2)) | patient(cell13)) | patient(cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44975')).
% 0.80/0.87 tff(1146,plain,
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% 0.80/0.87 inference(transitivity,[status(thm)],[1157, 1155])).
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% 0.80/0.87 tff(1160,plain,
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% 0.80/0.87 tff(1161,plain,
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% 0.80/0.87 tff(1162,plain,
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% 0.80/0.87 tff(1163,plain,((~(X!1 = cell78)) | patient(cell11) | patient(cell13) | patient(cell2)), inference(lemma,lemma(discharge,[]))).
% 0.80/0.87 tff(1164,plain,
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% 0.80/0.87 inference(unit_resolution,[status(thm)],[1163, 30, 1107, 1078])).
% 0.80/0.87 tff(1165,plain,
% 0.80/0.87 (X!1 = cell69),
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% 0.80/0.87 tff(1166,plain,
% 0.80/0.87 (cell69 = X!1),
% 0.80/0.87 inference(symmetry,[status(thm)],[1165])).
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% 0.84/0.90 inference(bind,[status(th)],[])).
% 0.84/0.90 tff(1197,plain,
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(~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell10)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell9)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell8)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell7)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell6)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell5)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell4)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell3)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell2)))))) <=> ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell81)))) | (~((~(TLH44975 = cell70)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell71)))) | (~((~(TLH44975 = cell60)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell61)))) | (~((~(TLH44975 = cell50)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell51)))) | (~((~(TLH44975 = cell40)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell41)))) | (~((~(TLH44975 = cell30)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell31)))) | (~((~(TLH44975 = cell20)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell21)))) | (~((~(TLH44975 = cell10)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell11)))) | (~((~(TLH44975 = cell99)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell98)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell97)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell96)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell95)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell94)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell93)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell92)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell91)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell10)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell9)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell8)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell7)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell6)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell5)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell4)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell3)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell2))))))),
% 0.84/0.91 inference(quant_intro,[status(thm)],[1196])).
% 0.84/0.91 tff(1198,plain,
% 0.84/0.91 (^[TLH44974: $i, TLH44975: $i] : rewrite((edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2)))) <=> (edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell81)))) | (~((~(TLH44975 = cell70)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell71)))) | (~((~(TLH44975 = cell60)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell61)))) | (~((~(TLH44975 = cell50)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell51)))) | (~((~(TLH44975 = cell40)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell41)))) | (~((~(TLH44975 = cell30)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell36)))) | 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cell87)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell10)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell9)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell8)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell7)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell6)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell5)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell4)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell3)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell2)))))))),
% 0.84/0.91 inference(bind,[status(th)],[])).
% 0.84/0.91 tff(1199,plain,
% 0.84/0.91 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2)))) <=> ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = 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(~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell47)) | 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(~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell10)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell9)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = 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% 0.84/0.92 inference(quant_intro,[status(thm)],[1198])).
% 0.84/0.92 tff(1200,plain,
% 0.84/0.92 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2)))) <=> ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.84/0.93 inference(rewrite,[status(thm)],[])).
% 0.84/0.93 tff(1201,plain,
% 0.84/0.93 (^[TLH44974: $i, TLH44975: $i] : rewrite((edge(TLH44975, TLH44974) <=> (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((TLH44975 = cell1) & (TLH44974 = cell2)) | ((TLH44975 = cell2) & (TLH44974 = cell3))) | ((TLH44975 = cell3) & (TLH44974 = cell4))) | ((TLH44975 = cell4) & (TLH44974 = cell5))) | ((TLH44975 = cell5) & (TLH44974 = cell6))) | ((TLH44975 = cell6) & (TLH44974 = cell7))) | ((TLH44975 = cell7) & (TLH44974 = cell8))) | ((TLH44975 = cell8) & (TLH44974 = cell9))) | ((TLH44975 = cell9) & (TLH44974 = cell10))) | ((TLH44975 = cell11) & (TLH44974 = cell12))) | ((TLH44975 = cell12) & (TLH44974 = cell13))) | ((TLH44975 = cell13) & (TLH44974 = cell14))) | ((TLH44975 = cell14) & (TLH44974 = cell15))) | ((TLH44975 = cell15) & (TLH44974 = cell16))) | ((TLH44975 = cell16) & (TLH44974 = cell17))) | ((TLH44975 = cell17) & (TLH44974 = cell18))) | ((TLH44975 = cell18) & (TLH44974 = cell19))) | ((TLH44975 = cell19) & (TLH44974 = cell20))) | ((TLH44975 = cell21) & (TLH44974 = cell22))) | ((TLH44975 = cell22) & (TLH44974 = cell23))) | ((TLH44975 = cell23) & (TLH44974 = cell24))) | ((TLH44975 = cell24) & (TLH44974 = cell25))) | ((TLH44975 = cell25) & (TLH44974 = cell26))) | ((TLH44975 = cell26) & (TLH44974 = cell27))) | ((TLH44975 = cell27) & (TLH44974 = cell28))) | ((TLH44975 = cell28) & (TLH44974 = cell29))) | ((TLH44975 = cell29) & (TLH44974 = cell30))) | ((TLH44975 = cell31) & (TLH44974 = cell32))) | ((TLH44975 = cell32) & (TLH44974 = cell33))) | ((TLH44975 = cell33) & (TLH44974 = cell34))) | ((TLH44975 = cell34) & (TLH44974 = cell35))) | ((TLH44975 = cell35) & (TLH44974 = cell36))) | ((TLH44975 = cell36) & (TLH44974 = cell37))) | ((TLH44975 = cell37) & (TLH44974 = cell38))) | ((TLH44975 = cell38) & (TLH44974 = cell39))) | ((TLH44975 = cell39) & (TLH44974 = cell40))) | ((TLH44975 = cell41) & (TLH44974 = cell42))) | ((TLH44975 = cell42) & (TLH44974 = cell43))) | ((TLH44975 = cell43) & (TLH44974 = cell44))) | ((TLH44975 = cell44) & (TLH44974 = cell45))) | ((TLH44975 = cell45) & (TLH44974 = cell46))) | ((TLH44975 = cell46) & (TLH44974 = cell47))) | ((TLH44975 = cell47) & (TLH44974 = cell48))) | ((TLH44975 = cell48) & (TLH44974 = cell49))) | ((TLH44975 = cell49) & (TLH44974 = cell50))) | ((TLH44975 = cell51) & (TLH44974 = cell52))) | ((TLH44975 = cell52) & (TLH44974 = cell53))) | ((TLH44975 = cell53) & (TLH44974 = cell54))) | ((TLH44975 = cell54) & (TLH44974 = cell55))) | ((TLH44975 = cell55) & (TLH44974 = cell56))) | ((TLH44975 = cell56) & (TLH44974 = cell57))) | ((TLH44975 = cell57) & (TLH44974 = cell58))) | ((TLH44975 = cell58) & (TLH44974 = cell59))) | ((TLH44975 = cell59) & (TLH44974 = cell60))) | ((TLH44975 = cell61) & (TLH44974 = cell62))) | ((TLH44975 = cell62) & (TLH44974 = cell63))) | ((TLH44975 = cell63) & (TLH44974 = cell64))) | ((TLH44975 = cell64) & (TLH44974 = cell65))) | ((TLH44975 = cell65) & (TLH44974 = cell66))) | ((TLH44975 = cell66) & (TLH44974 = cell67))) | ((TLH44975 = cell67) & (TLH44974 = cell68))) | ((TLH44975 = cell68) & (TLH44974 = cell69))) | ((TLH44975 = cell69) & (TLH44974 = cell70))) | ((TLH44975 = cell71) & (TLH44974 = cell72))) | ((TLH44975 = cell72) & (TLH44974 = cell73))) | ((TLH44975 = cell73) & (TLH44974 = cell74))) | ((TLH44975 = cell74) & (TLH44974 = cell75))) | ((TLH44975 = cell75) & (TLH44974 = cell76))) | ((TLH44975 = cell76) & (TLH44974 = cell77))) | ((TLH44975 = cell77) & (TLH44974 = cell78))) | ((TLH44975 = cell78) & (TLH44974 = cell79))) | ((TLH44975 = cell79) & (TLH44974 = cell80))) | ((TLH44975 = cell81) & (TLH44974 = cell82))) | ((TLH44975 = cell82) & (TLH44974 = cell83))) | ((TLH44975 = cell83) & (TLH44974 = cell84))) | ((TLH44975 = cell84) & (TLH44974 = cell85))) | ((TLH44975 = cell85) & (TLH44974 = cell86))) | ((TLH44975 = cell86) & (TLH44974 = cell87))) | ((TLH44975 = cell87) & (TLH44974 = cell88))) | ((TLH44975 = cell88) & (TLH44974 = cell89))) | ((TLH44975 = cell89) & (TLH44974 = cell90))) | ((TLH44975 = cell91) & (TLH44974 = cell92))) | ((TLH44975 = cell92) & (TLH44974 = cell93))) | ((TLH44975 = cell93) & (TLH44974 = cell94))) | ((TLH44975 = cell94) & (TLH44974 = cell95))) | ((TLH44975 = cell95) & (TLH44974 = cell96))) | ((TLH44975 = cell96) & (TLH44974 = cell97))) | ((TLH44975 = cell97) & (TLH44974 = cell98))) | ((TLH44975 = cell98) & (TLH44974 = cell99))) | ((TLH44975 = cell99) & (TLH44974 = cell100))) | ((TLH44975 = cell1) & (TLH44974 = cell11))) | ((TLH44975 = cell2) & (TLH44974 = cell12))) | ((TLH44975 = cell3) & (TLH44974 = cell13))) | ((TLH44975 = cell4) & (TLH44974 = cell14))) | ((TLH44975 = cell5) & (TLH44974 = cell15))) | ((TLH44975 = cell6) & (TLH44974 = cell16))) | ((TLH44975 = cell7) & (TLH44974 = cell17))) | ((TLH44975 = cell8) & (TLH44974 = cell18))) | ((TLH44975 = cell9) & (TLH44974 = cell19))) | ((TLH44975 = cell10) & (TLH44974 = cell20))) | ((TLH44975 = cell11) & (TLH44974 = cell21))) | ((TLH44975 = cell12) & (TLH44974 = cell22))) | ((TLH44975 = cell13) & (TLH44974 = cell23))) | ((TLH44975 = cell14) & (TLH44974 = cell24))) | ((TLH44975 = cell15) & (TLH44974 = cell25))) | ((TLH44975 = cell16) & (TLH44974 = cell26))) | ((TLH44975 = cell17) & (TLH44974 = cell27))) | ((TLH44975 = cell18) & (TLH44974 = cell28))) | ((TLH44975 = cell19) & (TLH44974 = cell29))) | ((TLH44975 = cell20) & (TLH44974 = cell30))) | ((TLH44975 = cell21) & (TLH44974 = cell31))) | ((TLH44975 = cell22) & (TLH44974 = cell32))) | ((TLH44975 = cell23) & (TLH44974 = cell33))) | ((TLH44975 = cell24) & (TLH44974 = cell34))) | ((TLH44975 = cell25) & (TLH44974 = cell35))) | ((TLH44975 = cell26) & (TLH44974 = cell36))) | ((TLH44975 = cell27) & (TLH44974 = cell37))) | ((TLH44975 = cell28) & (TLH44974 = cell38))) | ((TLH44975 = cell29) & (TLH44974 = cell39))) | ((TLH44975 = cell30) & (TLH44974 = cell40))) | ((TLH44975 = cell31) & (TLH44974 = cell41))) | ((TLH44975 = cell32) & (TLH44974 = cell42))) | ((TLH44975 = cell33) & (TLH44974 = cell43))) | ((TLH44975 = cell34) & (TLH44974 = cell44))) | ((TLH44975 = cell35) & (TLH44974 = cell45))) | ((TLH44975 = cell36) & (TLH44974 = cell46))) | ((TLH44975 = cell37) & (TLH44974 = cell47))) | ((TLH44975 = cell38) & (TLH44974 = cell48))) | ((TLH44975 = cell39) & (TLH44974 = cell49))) | ((TLH44975 = cell40) & (TLH44974 = cell50))) | ((TLH44975 = cell41) & (TLH44974 = cell51))) | ((TLH44975 = cell42) & (TLH44974 = cell52))) | ((TLH44975 = cell43) & (TLH44974 = cell53))) | ((TLH44975 = cell44) & (TLH44974 = cell54))) | ((TLH44975 = cell45) & (TLH44974 = cell55))) | ((TLH44975 = cell46) & (TLH44974 = cell56))) | ((TLH44975 = cell47) & (TLH44974 = cell57))) | ((TLH44975 = cell48) & (TLH44974 = cell58))) | ((TLH44975 = cell49) & (TLH44974 = cell59))) | ((TLH44975 = cell50) & (TLH44974 = cell60))) | ((TLH44975 = cell51) & (TLH44974 = cell61))) | ((TLH44975 = cell52) & (TLH44974 = cell62))) | ((TLH44975 = cell53) & (TLH44974 = cell63))) | ((TLH44975 = cell54) & (TLH44974 = cell64))) | ((TLH44975 = cell55) & (TLH44974 = cell65))) | ((TLH44975 = cell56) & (TLH44974 = cell66))) | ((TLH44975 = cell57) & (TLH44974 = cell67))) | ((TLH44975 = cell58) & (TLH44974 = cell68))) | ((TLH44975 = cell59) & (TLH44974 = cell69))) | ((TLH44975 = cell60) & (TLH44974 = cell70))) | ((TLH44975 = cell61) & (TLH44974 = cell71))) | ((TLH44975 = cell62) & (TLH44974 = cell72))) | ((TLH44975 = cell63) & (TLH44974 = cell73))) | ((TLH44975 = cell64) & (TLH44974 = cell74))) | ((TLH44975 = cell65) & (TLH44974 = cell75))) | ((TLH44975 = cell66) & (TLH44974 = cell76))) | ((TLH44975 = cell67) & (TLH44974 = cell77))) | ((TLH44975 = cell68) & (TLH44974 = cell78))) | ((TLH44975 = cell69) & (TLH44974 = cell79))) | ((TLH44975 = cell70) & (TLH44974 = cell80))) | ((TLH44975 = cell71) & (TLH44974 = cell81))) | ((TLH44975 = cell72) & (TLH44974 = cell82))) | ((TLH44975 = cell73) & (TLH44974 = cell83))) | ((TLH44975 = cell74) & (TLH44974 = cell84))) | ((TLH44975 = cell75) & (TLH44974 = cell85))) | ((TLH44975 = cell76) & (TLH44974 = cell86))) | ((TLH44975 = cell77) & (TLH44974 = cell87))) | ((TLH44975 = cell78) & (TLH44974 = cell88))) | ((TLH44975 = cell79) & (TLH44974 = cell89))) | ((TLH44975 = cell80) & (TLH44974 = cell90))) | ((TLH44975 = cell81) & (TLH44974 = cell91))) | ((TLH44975 = cell82) & (TLH44974 = cell92))) | ((TLH44975 = cell83) & (TLH44974 = cell93))) | ((TLH44975 = cell84) & (TLH44974 = cell94))) | ((TLH44975 = cell85) & (TLH44974 = cell95))) | ((TLH44975 = cell86) & (TLH44974 = cell96))) | ((TLH44975 = cell87) & (TLH44974 = cell97))) | ((TLH44975 = cell88) & (TLH44974 = cell98))) | ((TLH44975 = cell89) & (TLH44974 = cell99))) | ((TLH44975 = cell90) & (TLH44974 = cell100)))) <=> (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2)))))),
% 0.84/0.93 inference(bind,[status(th)],[])).
% 0.84/0.93 tff(1202,plain,
% 0.84/0.93 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((TLH44975 = cell1) & (TLH44974 = cell2)) | ((TLH44975 = cell2) & (TLH44974 = cell3))) | ((TLH44975 = cell3) & (TLH44974 = cell4))) | ((TLH44975 = cell4) & (TLH44974 = cell5))) | ((TLH44975 = cell5) & (TLH44974 = cell6))) | ((TLH44975 = cell6) & (TLH44974 = cell7))) | ((TLH44975 = cell7) & (TLH44974 = cell8))) | ((TLH44975 = cell8) & (TLH44974 = cell9))) | ((TLH44975 = cell9) & (TLH44974 = cell10))) | ((TLH44975 = cell11) & (TLH44974 = cell12))) | ((TLH44975 = cell12) & (TLH44974 = cell13))) | ((TLH44975 = cell13) & (TLH44974 = cell14))) | ((TLH44975 = cell14) & (TLH44974 = cell15))) | ((TLH44975 = cell15) & (TLH44974 = cell16))) | ((TLH44975 = cell16) & (TLH44974 = cell17))) | ((TLH44975 = cell17) & (TLH44974 = cell18))) | ((TLH44975 = cell18) & (TLH44974 = cell19))) | ((TLH44975 = cell19) & (TLH44974 = cell20))) | ((TLH44975 = cell21) & (TLH44974 = cell22))) | ((TLH44975 = cell22) & (TLH44974 = cell23))) | ((TLH44975 = cell23) & (TLH44974 = cell24))) | ((TLH44975 = cell24) & (TLH44974 = cell25))) | ((TLH44975 = cell25) & (TLH44974 = cell26))) | ((TLH44975 = cell26) & (TLH44974 = cell27))) | ((TLH44975 = cell27) & (TLH44974 = cell28))) | ((TLH44975 = cell28) & (TLH44974 = cell29))) | ((TLH44975 = cell29) & (TLH44974 = cell30))) | ((TLH44975 = cell31) & (TLH44974 = cell32))) | ((TLH44975 = cell32) & (TLH44974 = cell33))) | ((TLH44975 = cell33) & (TLH44974 = cell34))) | ((TLH44975 = cell34) & (TLH44974 = cell35))) | ((TLH44975 = cell35) & (TLH44974 = cell36))) | ((TLH44975 = cell36) & (TLH44974 = cell37))) | ((TLH44975 = cell37) & (TLH44974 = cell38))) | ((TLH44975 = cell38) & (TLH44974 = cell39))) | ((TLH44975 = cell39) & (TLH44974 = cell40))) | ((TLH44975 = cell41) & (TLH44974 = cell42))) | ((TLH44975 = cell42) & (TLH44974 = cell43))) | ((TLH44975 = cell43) & (TLH44974 = cell44))) | ((TLH44975 = cell44) & (TLH44974 = cell45))) | ((TLH44975 = cell45) & (TLH44974 = cell46))) | ((TLH44975 = cell46) & (TLH44974 = cell47))) | ((TLH44975 = cell47) & (TLH44974 = cell48))) | ((TLH44975 = cell48) & (TLH44974 = cell49))) | ((TLH44975 = cell49) & (TLH44974 = cell50))) | ((TLH44975 = cell51) & (TLH44974 = cell52))) | ((TLH44975 = cell52) & (TLH44974 = cell53))) | ((TLH44975 = cell53) & (TLH44974 = cell54))) | ((TLH44975 = cell54) & (TLH44974 = cell55))) | ((TLH44975 = cell55) & (TLH44974 = cell56))) | ((TLH44975 = cell56) & (TLH44974 = cell57))) | ((TLH44975 = cell57) & (TLH44974 = cell58))) | ((TLH44975 = cell58) & (TLH44974 = cell59))) | ((TLH44975 = cell59) & (TLH44974 = cell60))) | ((TLH44975 = cell61) & (TLH44974 = cell62))) | ((TLH44975 = cell62) & (TLH44974 = cell63))) | ((TLH44975 = cell63) & (TLH44974 = cell64))) | ((TLH44975 = cell64) & (TLH44974 = cell65))) | ((TLH44975 = cell65) & (TLH44974 = cell66))) | ((TLH44975 = cell66) & (TLH44974 = cell67))) | ((TLH44975 = cell67) & (TLH44974 = cell68))) | ((TLH44975 = cell68) & (TLH44974 = cell69))) | ((TLH44975 = cell69) & (TLH44974 = cell70))) | ((TLH44975 = cell71) & (TLH44974 = cell72))) | ((TLH44975 = cell72) & (TLH44974 = cell73))) | ((TLH44975 = cell73) & (TLH44974 = cell74))) | ((TLH44975 = cell74) & (TLH44974 = cell75))) | ((TLH44975 = cell75) & (TLH44974 = cell76))) | ((TLH44975 = cell76) & (TLH44974 = cell77))) | ((TLH44975 = cell77) & (TLH44974 = cell78))) | ((TLH44975 = cell78) & (TLH44974 = cell79))) | ((TLH44975 = cell79) & (TLH44974 = cell80))) | ((TLH44975 = cell81) & (TLH44974 = cell82))) | ((TLH44975 = cell82) & (TLH44974 = cell83))) | ((TLH44975 = cell83) & (TLH44974 = cell84))) | ((TLH44975 = cell84) & (TLH44974 = cell85))) | ((TLH44975 = cell85) & (TLH44974 = cell86))) | ((TLH44975 = cell86) & (TLH44974 = cell87))) | ((TLH44975 = cell87) & (TLH44974 = cell88))) | ((TLH44975 = cell88) & (TLH44974 = cell89))) | ((TLH44975 = cell89) & (TLH44974 = cell90))) | ((TLH44975 = cell91) & (TLH44974 = cell92))) | ((TLH44975 = cell92) & (TLH44974 = cell93))) | ((TLH44975 = cell93) & (TLH44974 = cell94))) | ((TLH44975 = cell94) & (TLH44974 = cell95))) | ((TLH44975 = cell95) & (TLH44974 = cell96))) | ((TLH44975 = cell96) & (TLH44974 = cell97))) | ((TLH44975 = cell97) & (TLH44974 = cell98))) | ((TLH44975 = cell98) & (TLH44974 = cell99))) | ((TLH44975 = cell99) & (TLH44974 = cell100))) | ((TLH44975 = cell1) & (TLH44974 = cell11))) | ((TLH44975 = cell2) & (TLH44974 = cell12))) | ((TLH44975 = cell3) & (TLH44974 = cell13))) | ((TLH44975 = cell4) & (TLH44974 = cell14))) | ((TLH44975 = cell5) & (TLH44974 = cell15))) | ((TLH44975 = cell6) & (TLH44974 = cell16))) | ((TLH44975 = cell7) & (TLH44974 = cell17))) | ((TLH44975 = cell8) & (TLH44974 = cell18))) | ((TLH44975 = cell9) & (TLH44974 = cell19))) | ((TLH44975 = cell10) & (TLH44974 = cell20))) | ((TLH44975 = cell11) & (TLH44974 = cell21))) | ((TLH44975 = cell12) & (TLH44974 = cell22))) | ((TLH44975 = cell13) & (TLH44974 = cell23))) | ((TLH44975 = cell14) & (TLH44974 = cell24))) | ((TLH44975 = cell15) & (TLH44974 = cell25))) | ((TLH44975 = cell16) & (TLH44974 = cell26))) | ((TLH44975 = cell17) & (TLH44974 = cell27))) | ((TLH44975 = cell18) & (TLH44974 = cell28))) | ((TLH44975 = cell19) & (TLH44974 = cell29))) | ((TLH44975 = cell20) & (TLH44974 = cell30))) | ((TLH44975 = cell21) & (TLH44974 = cell31))) | ((TLH44975 = cell22) & (TLH44974 = cell32))) | ((TLH44975 = cell23) & (TLH44974 = cell33))) | ((TLH44975 = cell24) & (TLH44974 = cell34))) | ((TLH44975 = cell25) & (TLH44974 = cell35))) | ((TLH44975 = cell26) & (TLH44974 = cell36))) | ((TLH44975 = cell27) & (TLH44974 = cell37))) | ((TLH44975 = cell28) & (TLH44974 = cell38))) | ((TLH44975 = cell29) & (TLH44974 = cell39))) | ((TLH44975 = cell30) & (TLH44974 = cell40))) | ((TLH44975 = cell31) & (TLH44974 = cell41))) | ((TLH44975 = cell32) & (TLH44974 = cell42))) | ((TLH44975 = cell33) & (TLH44974 = cell43))) | ((TLH44975 = cell34) & (TLH44974 = cell44))) | ((TLH44975 = cell35) & (TLH44974 = cell45))) | ((TLH44975 = cell36) & (TLH44974 = cell46))) | ((TLH44975 = cell37) & (TLH44974 = cell47))) | ((TLH44975 = cell38) & (TLH44974 = cell48))) | ((TLH44975 = cell39) & (TLH44974 = cell49))) | ((TLH44975 = cell40) & (TLH44974 = cell50))) | ((TLH44975 = cell41) & (TLH44974 = cell51))) | ((TLH44975 = cell42) & (TLH44974 = cell52))) | ((TLH44975 = cell43) & (TLH44974 = cell53))) | ((TLH44975 = cell44) & (TLH44974 = cell54))) | ((TLH44975 = cell45) & (TLH44974 = cell55))) | ((TLH44975 = cell46) & (TLH44974 = cell56))) | ((TLH44975 = cell47) & (TLH44974 = cell57))) | ((TLH44975 = cell48) & (TLH44974 = cell58))) | ((TLH44975 = cell49) & (TLH44974 = cell59))) | ((TLH44975 = cell50) & (TLH44974 = cell60))) | ((TLH44975 = cell51) & (TLH44974 = cell61))) | ((TLH44975 = cell52) & (TLH44974 = cell62))) | ((TLH44975 = cell53) & (TLH44974 = cell63))) | ((TLH44975 = cell54) & (TLH44974 = cell64))) | ((TLH44975 = cell55) & (TLH44974 = cell65))) | ((TLH44975 = cell56) & (TLH44974 = cell66))) | ((TLH44975 = cell57) & (TLH44974 = cell67))) | ((TLH44975 = cell58) & (TLH44974 = cell68))) | ((TLH44975 = cell59) & (TLH44974 = cell69))) | ((TLH44975 = cell60) & (TLH44974 = cell70))) | ((TLH44975 = cell61) & (TLH44974 = cell71))) | ((TLH44975 = cell62) & (TLH44974 = cell72))) | ((TLH44975 = cell63) & (TLH44974 = cell73))) | ((TLH44975 = cell64) & (TLH44974 = cell74))) | ((TLH44975 = cell65) & (TLH44974 = cell75))) | ((TLH44975 = cell66) & (TLH44974 = cell76))) | ((TLH44975 = cell67) & (TLH44974 = cell77))) | ((TLH44975 = cell68) & (TLH44974 = cell78))) | ((TLH44975 = cell69) & (TLH44974 = cell79))) | ((TLH44975 = cell70) & (TLH44974 = cell80))) | ((TLH44975 = cell71) & (TLH44974 = cell81))) | ((TLH44975 = cell72) & (TLH44974 = cell82))) | ((TLH44975 = cell73) & (TLH44974 = cell83))) | ((TLH44975 = cell74) & (TLH44974 = cell84))) | ((TLH44975 = cell75) & (TLH44974 = cell85))) | ((TLH44975 = cell76) & (TLH44974 = cell86))) | ((TLH44975 = cell77) & (TLH44974 = cell87))) | ((TLH44975 = cell78) & (TLH44974 = cell88))) | ((TLH44975 = cell79) & (TLH44974 = cell89))) | ((TLH44975 = cell80) & (TLH44974 = cell90))) | ((TLH44975 = cell81) & (TLH44974 = cell91))) | ((TLH44975 = cell82) & (TLH44974 = cell92))) | ((TLH44975 = cell83) & (TLH44974 = cell93))) | ((TLH44975 = cell84) & (TLH44974 = cell94))) | ((TLH44975 = cell85) & (TLH44974 = cell95))) | ((TLH44975 = cell86) & (TLH44974 = cell96))) | ((TLH44975 = cell87) & (TLH44974 = cell97))) | ((TLH44975 = cell88) & (TLH44974 = cell98))) | ((TLH44975 = cell89) & (TLH44974 = cell99))) | ((TLH44975 = cell90) & (TLH44974 = cell100)))) <=> ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.90/0.94 inference(quant_intro,[status(thm)],[1201])).
% 0.90/0.94 tff(1203,axiom,(![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((TLH44975 = cell1) & (TLH44974 = cell2)) | ((TLH44975 = cell2) & (TLH44974 = cell3))) | ((TLH44975 = cell3) & (TLH44974 = cell4))) | ((TLH44975 = cell4) & (TLH44974 = cell5))) | ((TLH44975 = cell5) & (TLH44974 = cell6))) | ((TLH44975 = cell6) & (TLH44974 = cell7))) | ((TLH44975 = cell7) & (TLH44974 = cell8))) | ((TLH44975 = cell8) & (TLH44974 = cell9))) | ((TLH44975 = cell9) & (TLH44974 = cell10))) | ((TLH44975 = cell11) & (TLH44974 = cell12))) | ((TLH44975 = cell12) & (TLH44974 = cell13))) | ((TLH44975 = cell13) & (TLH44974 = cell14))) | ((TLH44975 = cell14) & (TLH44974 = cell15))) | ((TLH44975 = cell15) & (TLH44974 = cell16))) | ((TLH44975 = cell16) & (TLH44974 = cell17))) | ((TLH44975 = cell17) & (TLH44974 = cell18))) | ((TLH44975 = cell18) & (TLH44974 = cell19))) | ((TLH44975 = cell19) & (TLH44974 = cell20))) | ((TLH44975 = cell21) & (TLH44974 = cell22))) | ((TLH44975 = cell22) & (TLH44974 = cell23))) | ((TLH44975 = cell23) & (TLH44974 = cell24))) | ((TLH44975 = cell24) & (TLH44974 = cell25))) | ((TLH44975 = cell25) & (TLH44974 = cell26))) | ((TLH44975 = cell26) & (TLH44974 = cell27))) | ((TLH44975 = cell27) & (TLH44974 = cell28))) | ((TLH44975 = cell28) & (TLH44974 = cell29))) | ((TLH44975 = cell29) & (TLH44974 = cell30))) | ((TLH44975 = cell31) & (TLH44974 = cell32))) | ((TLH44975 = cell32) & (TLH44974 = cell33))) | ((TLH44975 = cell33) & (TLH44974 = cell34))) | ((TLH44975 = cell34) & (TLH44974 = cell35))) | ((TLH44975 = cell35) & (TLH44974 = cell36))) | ((TLH44975 = cell36) & (TLH44974 = cell37))) | ((TLH44975 = cell37) & (TLH44974 = cell38))) | ((TLH44975 = cell38) & (TLH44974 = cell39))) | ((TLH44975 = cell39) & (TLH44974 = cell40))) | ((TLH44975 = cell41) & (TLH44974 = cell42))) | ((TLH44975 = cell42) & (TLH44974 = cell43))) | ((TLH44975 = cell43) & (TLH44974 = cell44))) | ((TLH44975 = cell44) & (TLH44974 = cell45))) | ((TLH44975 = cell45) & (TLH44974 = cell46))) | ((TLH44975 = cell46) & (TLH44974 = cell47))) | ((TLH44975 = cell47) & (TLH44974 = cell48))) | ((TLH44975 = cell48) & (TLH44974 = cell49))) | ((TLH44975 = cell49) & (TLH44974 = cell50))) | ((TLH44975 = cell51) & (TLH44974 = cell52))) | ((TLH44975 = cell52) & (TLH44974 = cell53))) | ((TLH44975 = cell53) & (TLH44974 = cell54))) | ((TLH44975 = cell54) & (TLH44974 = cell55))) | ((TLH44975 = cell55) & (TLH44974 = cell56))) | ((TLH44975 = cell56) & (TLH44974 = cell57))) | ((TLH44975 = cell57) & (TLH44974 = cell58))) | ((TLH44975 = cell58) & (TLH44974 = cell59))) | ((TLH44975 = cell59) & (TLH44974 = cell60))) | ((TLH44975 = cell61) & (TLH44974 = cell62))) | ((TLH44975 = cell62) & (TLH44974 = cell63))) | ((TLH44975 = cell63) & (TLH44974 = cell64))) | ((TLH44975 = cell64) & (TLH44974 = cell65))) | ((TLH44975 = cell65) & (TLH44974 = cell66))) | ((TLH44975 = cell66) & (TLH44974 = cell67))) | ((TLH44975 = cell67) & (TLH44974 = cell68))) | ((TLH44975 = cell68) & (TLH44974 = cell69))) | ((TLH44975 = cell69) & (TLH44974 = cell70))) | ((TLH44975 = cell71) & (TLH44974 = cell72))) | ((TLH44975 = cell72) & (TLH44974 = cell73))) | ((TLH44975 = cell73) & (TLH44974 = cell74))) | ((TLH44975 = cell74) & (TLH44974 = cell75))) | ((TLH44975 = cell75) & (TLH44974 = cell76))) | ((TLH44975 = cell76) & (TLH44974 = cell77))) | ((TLH44975 = cell77) & (TLH44974 = cell78))) | ((TLH44975 = cell78) & (TLH44974 = cell79))) | ((TLH44975 = cell79) & (TLH44974 = cell80))) | ((TLH44975 = cell81) & (TLH44974 = cell82))) | ((TLH44975 = cell82) & (TLH44974 = cell83))) | ((TLH44975 = cell83) & (TLH44974 = cell84))) | ((TLH44975 = cell84) & (TLH44974 = cell85))) | ((TLH44975 = cell85) & (TLH44974 = cell86))) | ((TLH44975 = cell86) & (TLH44974 = cell87))) | ((TLH44975 = cell87) & (TLH44974 = cell88))) | ((TLH44975 = cell88) & (TLH44974 = cell89))) | ((TLH44975 = cell89) & (TLH44974 = cell90))) | ((TLH44975 = cell91) & (TLH44974 = cell92))) | ((TLH44975 = cell92) & (TLH44974 = cell93))) | ((TLH44975 = cell93) & (TLH44974 = cell94))) | ((TLH44975 = cell94) & (TLH44974 = cell95))) | ((TLH44975 = cell95) & (TLH44974 = cell96))) | ((TLH44975 = cell96) & (TLH44974 = cell97))) | ((TLH44975 = cell97) & (TLH44974 = cell98))) | ((TLH44975 = cell98) & (TLH44974 = cell99))) | ((TLH44975 = cell99) & (TLH44974 = cell100))) | ((TLH44975 = cell1) & (TLH44974 = cell11))) | ((TLH44975 = cell2) & (TLH44974 = cell12))) | ((TLH44975 = cell3) & (TLH44974 = cell13))) | ((TLH44975 = cell4) & (TLH44974 = cell14))) | ((TLH44975 = cell5) & (TLH44974 = cell15))) | ((TLH44975 = cell6) & (TLH44974 = cell16))) | ((TLH44975 = cell7) & (TLH44974 = cell17))) | ((TLH44975 = cell8) & (TLH44974 = cell18))) | ((TLH44975 = cell9) & (TLH44974 = cell19))) | ((TLH44975 = cell10) & (TLH44974 = cell20))) | ((TLH44975 = cell11) & (TLH44974 = cell21))) | ((TLH44975 = cell12) & (TLH44974 = cell22))) | ((TLH44975 = cell13) & (TLH44974 = cell23))) | ((TLH44975 = cell14) & (TLH44974 = cell24))) | ((TLH44975 = cell15) & (TLH44974 = cell25))) | ((TLH44975 = cell16) & (TLH44974 = cell26))) | ((TLH44975 = cell17) & (TLH44974 = cell27))) | ((TLH44975 = cell18) & (TLH44974 = cell28))) | ((TLH44975 = cell19) & (TLH44974 = cell29))) | ((TLH44975 = cell20) & (TLH44974 = cell30))) | ((TLH44975 = cell21) & (TLH44974 = cell31))) | ((TLH44975 = cell22) & (TLH44974 = cell32))) | ((TLH44975 = cell23) & (TLH44974 = cell33))) | ((TLH44975 = cell24) & (TLH44974 = cell34))) | ((TLH44975 = cell25) & (TLH44974 = cell35))) | ((TLH44975 = cell26) & (TLH44974 = cell36))) | ((TLH44975 = cell27) & (TLH44974 = cell37))) | ((TLH44975 = cell28) & (TLH44974 = cell38))) | ((TLH44975 = cell29) & (TLH44974 = cell39))) | ((TLH44975 = cell30) & (TLH44974 = cell40))) | ((TLH44975 = cell31) & (TLH44974 = cell41))) | ((TLH44975 = cell32) & (TLH44974 = cell42))) | ((TLH44975 = cell33) & (TLH44974 = cell43))) | ((TLH44975 = cell34) & (TLH44974 = cell44))) | ((TLH44975 = cell35) & (TLH44974 = cell45))) | ((TLH44975 = cell36) & (TLH44974 = cell46))) | ((TLH44975 = cell37) & (TLH44974 = cell47))) | ((TLH44975 = cell38) & (TLH44974 = cell48))) | ((TLH44975 = cell39) & (TLH44974 = cell49))) | ((TLH44975 = cell40) & (TLH44974 = cell50))) | ((TLH44975 = cell41) & (TLH44974 = cell51))) | ((TLH44975 = cell42) & (TLH44974 = cell52))) | ((TLH44975 = cell43) & (TLH44974 = cell53))) | ((TLH44975 = cell44) & (TLH44974 = cell54))) | ((TLH44975 = cell45) & (TLH44974 = cell55))) | ((TLH44975 = cell46) & (TLH44974 = cell56))) | ((TLH44975 = cell47) & (TLH44974 = cell57))) | ((TLH44975 = cell48) & (TLH44974 = cell58))) | ((TLH44975 = cell49) & (TLH44974 = cell59))) | ((TLH44975 = cell50) & (TLH44974 = cell60))) | ((TLH44975 = cell51) & (TLH44974 = cell61))) | ((TLH44975 = cell52) & (TLH44974 = cell62))) | ((TLH44975 = cell53) & (TLH44974 = cell63))) | ((TLH44975 = cell54) & (TLH44974 = cell64))) | ((TLH44975 = cell55) & (TLH44974 = cell65))) | ((TLH44975 = cell56) & (TLH44974 = cell66))) | ((TLH44975 = cell57) & (TLH44974 = cell67))) | ((TLH44975 = cell58) & (TLH44974 = cell68))) | ((TLH44975 = cell59) & (TLH44974 = cell69))) | ((TLH44975 = cell60) & (TLH44974 = cell70))) | ((TLH44975 = cell61) & (TLH44974 = cell71))) | ((TLH44975 = cell62) & (TLH44974 = cell72))) | ((TLH44975 = cell63) & (TLH44974 = cell73))) | ((TLH44975 = cell64) & (TLH44974 = cell74))) | ((TLH44975 = cell65) & (TLH44974 = cell75))) | ((TLH44975 = cell66) & (TLH44974 = cell76))) | ((TLH44975 = cell67) & (TLH44974 = cell77))) | ((TLH44975 = cell68) & (TLH44974 = cell78))) | ((TLH44975 = cell69) & (TLH44974 = cell79))) | ((TLH44975 = cell70) & (TLH44974 = cell80))) | ((TLH44975 = cell71) & (TLH44974 = cell81))) | ((TLH44975 = cell72) & (TLH44974 = cell82))) | ((TLH44975 = cell73) & (TLH44974 = cell83))) | ((TLH44975 = cell74) & (TLH44974 = cell84))) | ((TLH44975 = cell75) & (TLH44974 = cell85))) | ((TLH44975 = cell76) & (TLH44974 = cell86))) | ((TLH44975 = cell77) & (TLH44974 = cell87))) | ((TLH44975 = cell78) & (TLH44974 = cell88))) | ((TLH44975 = cell79) & (TLH44974 = cell89))) | ((TLH44975 = cell80) & (TLH44974 = cell90))) | ((TLH44975 = cell81) & (TLH44974 = cell91))) | ((TLH44975 = cell82) & (TLH44974 = cell92))) | ((TLH44975 = cell83) & (TLH44974 = cell93))) | ((TLH44975 = cell84) & (TLH44974 = cell94))) | ((TLH44975 = cell85) & (TLH44974 = cell95))) | ((TLH44975 = cell86) & (TLH44974 = cell96))) | ((TLH44975 = cell87) & (TLH44974 = cell97))) | ((TLH44975 = cell88) & (TLH44974 = cell98))) | ((TLH44975 = cell89) & (TLH44974 = cell99))) | ((TLH44975 = cell90) & (TLH44974 = cell100))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44979')).
% 0.90/0.94 tff(1204,plain,
% 0.90/0.94 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.90/0.94 inference(modus_ponens,[status(thm)],[1203, 1202])).
% 0.90/0.94 tff(1205,plain,
% 0.90/0.94 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.90/0.95 inference(modus_ponens,[status(thm)],[1204, 1200])).
% 0.90/0.95 tff(1206,plain,(
% 0.90/0.95 ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.90/0.95 inference(skolemize,[status(sab)],[1205])).
% 0.90/0.95 tff(1207,plain,
% 0.90/0.95 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = 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% 0.92/0.95 inference(modus_ponens,[status(thm)],[1206, 1199])).
% 0.92/0.95 tff(1208,plain,
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% 0.92/0.96 inference(modus_ponens,[status(thm)],[1207, 1197])).
% 0.92/0.96 tff(1209,plain,
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% 0.92/1.00 inference(monotonicity,[status(thm)],[1210])).
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% 0.98/1.02 inference(transitivity,[status(thm)],[1211, 1209])).
% 0.98/1.02 tff(1213,plain,
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% 0.98/1.04 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 0.98/1.04 tff(1215,plain,
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% 0.98/1.04 inference(unit_resolution,[status(thm)],[1214, 1208])).
% 0.98/1.04 tff(1216,plain,
% 0.98/1.04 (~patient(cell12)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[1132, 1126])).
% 0.98/1.04 tff(1217,assumption,(~(X!1 = cell78)), introduced(assumption)).
% 0.98/1.04 tff(1218,assumption,(~(X!1 = cell69)), introduced(assumption)).
% 0.98/1.04 tff(1219,plain,
% 0.98/1.04 ((cell12 = X!1) <=> (X!1 = cell12)),
% 0.98/1.04 inference(symmetry,[status(thm)],[1118])).
% 0.98/1.04 tff(1220,plain,
% 0.98/1.04 ((~(cell12 = X!1)) <=> (~(X!1 = cell12))),
% 0.98/1.04 inference(monotonicity,[status(thm)],[1219])).
% 0.98/1.04 tff(1221,plain,
% 0.98/1.04 (~(X!1 = cell12)),
% 0.98/1.04 inference(modus_ponens,[status(thm)],[1126, 1220])).
% 0.98/1.04 tff(1222,assumption,(X!1 = cell12), introduced(assumption)).
% 0.98/1.04 tff(1223,plain,
% 0.98/1.04 ($false),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[1222, 1221])).
% 0.98/1.04 tff(1224,plain,((~(X!1 = cell12)) | (cell12 = X!1)), inference(lemma,lemma(discharge,[]))).
% 0.98/1.04 tff(1225,plain,
% 0.98/1.04 (~(X!1 = cell12)),
% 0.98/1.04 inference(unit_resolution,[status(thm)],[1224, 1126])).
% 0.98/1.04 tff(1226,plain,
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% 1.04/1.09 inference(monotonicity,[status(thm)],[1227])).
% 1.04/1.09 tff(1229,plain,
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% 1.04/1.11 inference(transitivity,[status(thm)],[1228, 1226])).
% 1.04/1.11 tff(1230,plain,
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% 1.04/1.11 inference(quant_inst,[status(thm)],[])).
% 1.04/1.11 tff(1231,plain,
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% 1.04/1.12 inference(modus_ponens,[status(thm)],[1230, 1229])).
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% 1.04/1.13 inference(unit_resolution,[status(thm)],[1231, 1208])).
% 1.04/1.13 tff(1233,plain,
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% 1.04/1.13 inference(and_elim,[status(thm)],[14])).
% 1.04/1.13 tff(1234,plain,
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% 1.04/1.13 inference(quant_intro,[status(thm)],[1234])).
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% 1.04/1.13 tff(1240,plain,
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% 1.04/1.13 inference(quant_intro,[status(thm)],[1239])).
% 1.04/1.13 tff(1241,axiom,(![Y: $i, X: $i] : ((oxygen(X) & oxygen(Y)) => (X = Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44977')).
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% 1.04/1.13 ![Y: $i, X: $i] : ((~(oxygen(X) & oxygen(Y))) | (X = Y))),
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% 1.04/1.13 ((~(cell100 = cell89)) <=> (~(cell100 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1251,axiom,(~(cell100 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45070')).
% 1.04/1.13 tff(1252,plain,
% 1.04/1.13 (~(cell100 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 1.04/1.13 tff(1253,plain,
% 1.04/1.13 (~(cell89 = cell100)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1252, 1249])).
% 1.04/1.13 tff(1254,plain,
% 1.04/1.13 (((~(X!1 = cell90)) | (~(cell89 = cell100))) | (cell89 = cell100)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1255,plain,
% 1.04/1.13 ((~(X!1 = cell90)) | (~(cell89 = cell100))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1254, 1253])).
% 1.04/1.13 tff(1256,plain,
% 1.04/1.13 ((cell89 = cell3) <=> (cell3 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1257,plain,
% 1.04/1.13 ((cell3 = cell89) <=> (cell89 = cell3)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1256])).
% 1.04/1.13 tff(1258,plain,
% 1.04/1.13 ((~(cell3 = cell89)) <=> (~(cell89 = cell3))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1257])).
% 1.04/1.13 tff(1259,plain,
% 1.04/1.13 ((~(cell3 = cell89)) <=> (~(cell3 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1260,axiom,(~(cell3 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49866')).
% 1.04/1.13 tff(1261,plain,
% 1.04/1.13 (~(cell3 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 1.04/1.13 tff(1262,plain,
% 1.04/1.13 (~(cell89 = cell3)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1261, 1258])).
% 1.04/1.13 tff(1263,plain,
% 1.04/1.13 (((~(X!1 = cell2)) | (~(cell89 = cell3))) | (cell89 = cell3)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1264,plain,
% 1.04/1.13 ((~(X!1 = cell2)) | (~(cell89 = cell3))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1263, 1262])).
% 1.04/1.13 tff(1265,plain,
% 1.04/1.13 ((cell89 = cell4) <=> (cell4 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1266,plain,
% 1.04/1.13 ((cell4 = cell89) <=> (cell89 = cell4)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1265])).
% 1.04/1.13 tff(1267,plain,
% 1.04/1.13 ((~(cell4 = cell89)) <=> (~(cell89 = cell4))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1266])).
% 1.04/1.13 tff(1268,plain,
% 1.04/1.13 ((~(cell4 = cell89)) <=> (~(cell4 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1269,axiom,(~(cell4 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49855')).
% 1.04/1.13 tff(1270,plain,
% 1.04/1.13 (~(cell4 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 1.04/1.13 tff(1271,plain,
% 1.04/1.13 (~(cell89 = cell4)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1270, 1267])).
% 1.04/1.13 tff(1272,plain,
% 1.04/1.13 (((~(X!1 = cell3)) | (~(cell89 = cell4))) | (cell89 = cell4)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1273,plain,
% 1.04/1.13 ((~(X!1 = cell3)) | (~(cell89 = cell4))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1272, 1271])).
% 1.04/1.13 tff(1274,plain,
% 1.04/1.13 ((cell89 = cell5) <=> (cell5 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1275,plain,
% 1.04/1.13 ((cell5 = cell89) <=> (cell89 = cell5)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1274])).
% 1.04/1.13 tff(1276,plain,
% 1.04/1.13 ((~(cell5 = cell89)) <=> (~(cell89 = cell5))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1275])).
% 1.04/1.13 tff(1277,plain,
% 1.04/1.13 ((~(cell5 = cell89)) <=> (~(cell5 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1278,axiom,(~(cell5 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49843')).
% 1.04/1.13 tff(1279,plain,
% 1.04/1.13 (~(cell5 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1278, 1277])).
% 1.04/1.13 tff(1280,plain,
% 1.04/1.13 (~(cell89 = cell5)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1279, 1276])).
% 1.04/1.13 tff(1281,plain,
% 1.04/1.13 (((~(X!1 = cell4)) | (~(cell89 = cell5))) | (cell89 = cell5)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1282,plain,
% 1.04/1.13 ((~(X!1 = cell4)) | (~(cell89 = cell5))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1281, 1280])).
% 1.04/1.13 tff(1283,plain,
% 1.04/1.13 ((cell89 = cell6) <=> (cell6 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1284,plain,
% 1.04/1.13 ((cell6 = cell89) <=> (cell89 = cell6)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1283])).
% 1.04/1.13 tff(1285,plain,
% 1.04/1.13 ((~(cell6 = cell89)) <=> (~(cell89 = cell6))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1284])).
% 1.04/1.13 tff(1286,plain,
% 1.04/1.13 ((~(cell6 = cell89)) <=> (~(cell6 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1287,axiom,(~(cell6 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49830')).
% 1.04/1.13 tff(1288,plain,
% 1.04/1.13 (~(cell6 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1287, 1286])).
% 1.04/1.13 tff(1289,plain,
% 1.04/1.13 (~(cell89 = cell6)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1288, 1285])).
% 1.04/1.13 tff(1290,plain,
% 1.04/1.13 (((~(X!1 = cell5)) | (~(cell89 = cell6))) | (cell89 = cell6)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1291,plain,
% 1.04/1.13 ((~(X!1 = cell5)) | (~(cell89 = cell6))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1290, 1289])).
% 1.04/1.13 tff(1292,plain,
% 1.04/1.13 ((cell89 = cell7) <=> (cell7 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1293,plain,
% 1.04/1.13 ((cell7 = cell89) <=> (cell89 = cell7)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1292])).
% 1.04/1.13 tff(1294,plain,
% 1.04/1.13 ((~(cell7 = cell89)) <=> (~(cell89 = cell7))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1293])).
% 1.04/1.13 tff(1295,plain,
% 1.04/1.13 ((~(cell7 = cell89)) <=> (~(cell7 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1296,axiom,(~(cell7 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49816')).
% 1.04/1.13 tff(1297,plain,
% 1.04/1.13 (~(cell7 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1296, 1295])).
% 1.04/1.13 tff(1298,plain,
% 1.04/1.13 (~(cell89 = cell7)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1297, 1294])).
% 1.04/1.13 tff(1299,plain,
% 1.04/1.13 (((~(X!1 = cell6)) | (~(cell89 = cell7))) | (cell89 = cell7)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1300,plain,
% 1.04/1.13 ((~(X!1 = cell6)) | (~(cell89 = cell7))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1299, 1298])).
% 1.04/1.13 tff(1301,plain,
% 1.04/1.13 ((cell89 = cell8) <=> (cell8 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1302,plain,
% 1.04/1.13 ((cell8 = cell89) <=> (cell89 = cell8)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1301])).
% 1.04/1.13 tff(1303,plain,
% 1.04/1.13 ((~(cell8 = cell89)) <=> (~(cell89 = cell8))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1302])).
% 1.04/1.13 tff(1304,plain,
% 1.04/1.13 ((~(cell8 = cell89)) <=> (~(cell8 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1305,axiom,(~(cell8 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49801')).
% 1.04/1.13 tff(1306,plain,
% 1.04/1.13 (~(cell8 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1305, 1304])).
% 1.04/1.13 tff(1307,plain,
% 1.04/1.13 (~(cell89 = cell8)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1306, 1303])).
% 1.04/1.13 tff(1308,plain,
% 1.04/1.13 (((~(X!1 = cell7)) | (~(cell89 = cell8))) | (cell89 = cell8)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1309,plain,
% 1.04/1.13 ((~(X!1 = cell7)) | (~(cell89 = cell8))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1308, 1307])).
% 1.04/1.13 tff(1310,plain,
% 1.04/1.13 ((cell89 = cell9) <=> (cell9 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1311,plain,
% 1.04/1.13 ((cell9 = cell89) <=> (cell89 = cell9)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1310])).
% 1.04/1.13 tff(1312,plain,
% 1.04/1.13 ((~(cell9 = cell89)) <=> (~(cell89 = cell9))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1311])).
% 1.04/1.13 tff(1313,plain,
% 1.04/1.13 ((~(cell9 = cell89)) <=> (~(cell9 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1314,axiom,(~(cell9 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49785')).
% 1.04/1.13 tff(1315,plain,
% 1.04/1.13 (~(cell9 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 1.04/1.13 tff(1316,plain,
% 1.04/1.13 (~(cell89 = cell9)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1315, 1312])).
% 1.04/1.13 tff(1317,plain,
% 1.04/1.13 (((~(X!1 = cell8)) | (~(cell89 = cell9))) | (cell89 = cell9)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1318,plain,
% 1.04/1.13 ((~(X!1 = cell8)) | (~(cell89 = cell9))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1317, 1316])).
% 1.04/1.13 tff(1319,plain,
% 1.04/1.13 ((cell89 = cell10) <=> (cell10 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1320,plain,
% 1.04/1.13 ((cell10 = cell89) <=> (cell89 = cell10)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1319])).
% 1.04/1.13 tff(1321,plain,
% 1.04/1.13 ((~(cell10 = cell89)) <=> (~(cell89 = cell10))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1320])).
% 1.04/1.13 tff(1322,plain,
% 1.04/1.13 ((~(cell10 = cell89)) <=> (~(cell10 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1323,axiom,(~(cell10 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49768')).
% 1.04/1.13 tff(1324,plain,
% 1.04/1.13 (~(cell10 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 1.04/1.13 tff(1325,plain,
% 1.04/1.13 (~(cell89 = cell10)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1324, 1321])).
% 1.04/1.13 tff(1326,plain,
% 1.04/1.13 (((~(X!1 = cell9)) | (~(cell89 = cell10))) | (cell89 = cell10)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1327,plain,
% 1.04/1.13 ((~(X!1 = cell9)) | (~(cell89 = cell10))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1326, 1325])).
% 1.04/1.13 tff(1328,plain,
% 1.04/1.13 ((cell89 = cell14) <=> (cell14 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1329,plain,
% 1.04/1.13 ((cell14 = cell89) <=> (cell89 = cell14)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1328])).
% 1.04/1.13 tff(1330,plain,
% 1.04/1.13 ((~(cell14 = cell89)) <=> (~(cell89 = cell14))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1329])).
% 1.04/1.13 tff(1331,plain,
% 1.04/1.13 ((~(cell14 = cell89)) <=> (~(cell14 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1332,axiom,(~(cell14 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49750')).
% 1.04/1.13 tff(1333,plain,
% 1.04/1.13 (~(cell14 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 1.04/1.13 tff(1334,plain,
% 1.04/1.13 (~(cell89 = cell14)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1333, 1330])).
% 1.04/1.13 tff(1335,plain,
% 1.04/1.13 (((~(X!1 = cell13)) | (~(cell89 = cell14))) | (cell89 = cell14)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1336,plain,
% 1.04/1.13 ((~(X!1 = cell13)) | (~(cell89 = cell14))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1335, 1334])).
% 1.04/1.13 tff(1337,plain,
% 1.04/1.13 ((cell89 = cell15) <=> (cell15 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1338,plain,
% 1.04/1.13 ((cell15 = cell89) <=> (cell89 = cell15)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1337])).
% 1.04/1.13 tff(1339,plain,
% 1.04/1.13 ((~(cell15 = cell89)) <=> (~(cell89 = cell15))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1338])).
% 1.04/1.13 tff(1340,plain,
% 1.04/1.13 ((~(cell15 = cell89)) <=> (~(cell15 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1341,axiom,(~(cell15 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49731')).
% 1.04/1.13 tff(1342,plain,
% 1.04/1.13 (~(cell15 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 1.04/1.13 tff(1343,plain,
% 1.04/1.13 (~(cell89 = cell15)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1342, 1339])).
% 1.04/1.13 tff(1344,plain,
% 1.04/1.13 (((~(X!1 = cell14)) | (~(cell89 = cell15))) | (cell89 = cell15)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1345,plain,
% 1.04/1.13 ((~(X!1 = cell14)) | (~(cell89 = cell15))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1344, 1343])).
% 1.04/1.13 tff(1346,plain,
% 1.04/1.13 ((cell89 = cell16) <=> (cell16 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1347,plain,
% 1.04/1.13 ((cell16 = cell89) <=> (cell89 = cell16)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1346])).
% 1.04/1.13 tff(1348,plain,
% 1.04/1.13 ((~(cell16 = cell89)) <=> (~(cell89 = cell16))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1347])).
% 1.04/1.13 tff(1349,plain,
% 1.04/1.13 ((~(cell16 = cell89)) <=> (~(cell16 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1350,axiom,(~(cell16 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49711')).
% 1.04/1.13 tff(1351,plain,
% 1.04/1.13 (~(cell16 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 1.04/1.13 tff(1352,plain,
% 1.04/1.13 (~(cell89 = cell16)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1351, 1348])).
% 1.04/1.13 tff(1353,plain,
% 1.04/1.13 (((~(X!1 = cell15)) | (~(cell89 = cell16))) | (cell89 = cell16)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1354,plain,
% 1.04/1.13 ((~(X!1 = cell15)) | (~(cell89 = cell16))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1353, 1352])).
% 1.04/1.13 tff(1355,plain,
% 1.04/1.13 ((cell89 = cell17) <=> (cell17 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1356,plain,
% 1.04/1.13 ((cell17 = cell89) <=> (cell89 = cell17)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1355])).
% 1.04/1.13 tff(1357,plain,
% 1.04/1.13 ((~(cell17 = cell89)) <=> (~(cell89 = cell17))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1356])).
% 1.04/1.13 tff(1358,plain,
% 1.04/1.13 ((~(cell17 = cell89)) <=> (~(cell17 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1359,axiom,(~(cell17 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49690')).
% 1.04/1.13 tff(1360,plain,
% 1.04/1.13 (~(cell17 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 1.04/1.13 tff(1361,plain,
% 1.04/1.13 (~(cell89 = cell17)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1360, 1357])).
% 1.04/1.13 tff(1362,plain,
% 1.04/1.13 (((~(X!1 = cell16)) | (~(cell89 = cell17))) | (cell89 = cell17)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1363,plain,
% 1.04/1.13 ((~(X!1 = cell16)) | (~(cell89 = cell17))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1362, 1361])).
% 1.04/1.13 tff(1364,plain,
% 1.04/1.13 ((cell89 = cell18) <=> (cell18 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1365,plain,
% 1.04/1.13 ((cell18 = cell89) <=> (cell89 = cell18)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1364])).
% 1.04/1.13 tff(1366,plain,
% 1.04/1.13 ((~(cell18 = cell89)) <=> (~(cell89 = cell18))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1365])).
% 1.04/1.13 tff(1367,plain,
% 1.04/1.13 ((~(cell18 = cell89)) <=> (~(cell18 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1368,axiom,(~(cell18 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49668')).
% 1.04/1.13 tff(1369,plain,
% 1.04/1.13 (~(cell18 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 1.04/1.13 tff(1370,plain,
% 1.04/1.13 (~(cell89 = cell18)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1369, 1366])).
% 1.04/1.13 tff(1371,plain,
% 1.04/1.13 (((~(X!1 = cell17)) | (~(cell89 = cell18))) | (cell89 = cell18)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1372,plain,
% 1.04/1.13 ((~(X!1 = cell17)) | (~(cell89 = cell18))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1371, 1370])).
% 1.04/1.13 tff(1373,plain,
% 1.04/1.13 ((cell89 = cell19) <=> (cell19 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1374,plain,
% 1.04/1.13 ((cell19 = cell89) <=> (cell89 = cell19)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1373])).
% 1.04/1.13 tff(1375,plain,
% 1.04/1.13 ((~(cell19 = cell89)) <=> (~(cell89 = cell19))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1374])).
% 1.04/1.13 tff(1376,plain,
% 1.04/1.13 ((~(cell19 = cell89)) <=> (~(cell19 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1377,axiom,(~(cell19 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49645')).
% 1.04/1.13 tff(1378,plain,
% 1.04/1.13 (~(cell19 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 1.04/1.13 tff(1379,plain,
% 1.04/1.13 (~(cell89 = cell19)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1378, 1375])).
% 1.04/1.13 tff(1380,plain,
% 1.04/1.13 (((~(X!1 = cell18)) | (~(cell89 = cell19))) | (cell89 = cell19)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1381,plain,
% 1.04/1.13 ((~(X!1 = cell18)) | (~(cell89 = cell19))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1380, 1379])).
% 1.04/1.13 tff(1382,plain,
% 1.04/1.13 ((cell89 = cell20) <=> (cell20 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1383,plain,
% 1.04/1.13 ((cell20 = cell89) <=> (cell89 = cell20)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1382])).
% 1.04/1.13 tff(1384,plain,
% 1.04/1.13 ((~(cell20 = cell89)) <=> (~(cell89 = cell20))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1383])).
% 1.04/1.13 tff(1385,plain,
% 1.04/1.13 ((~(cell20 = cell89)) <=> (~(cell20 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1386,axiom,(~(cell20 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49621')).
% 1.04/1.13 tff(1387,plain,
% 1.04/1.13 (~(cell20 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 1.04/1.13 tff(1388,plain,
% 1.04/1.13 (~(cell89 = cell20)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1387, 1384])).
% 1.04/1.13 tff(1389,plain,
% 1.04/1.13 (((~(X!1 = cell19)) | (~(cell89 = cell20))) | (cell89 = cell20)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1390,plain,
% 1.04/1.13 ((~(X!1 = cell19)) | (~(cell89 = cell20))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1389, 1388])).
% 1.04/1.13 tff(1391,plain,
% 1.04/1.13 ((cell89 = cell23) <=> (cell23 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1392,plain,
% 1.04/1.13 ((cell23 = cell89) <=> (cell89 = cell23)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1391])).
% 1.04/1.13 tff(1393,plain,
% 1.04/1.13 ((~(cell23 = cell89)) <=> (~(cell89 = cell23))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1392])).
% 1.04/1.13 tff(1394,plain,
% 1.04/1.13 ((~(cell23 = cell89)) <=> (~(cell23 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1395,axiom,(~(cell23 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49570')).
% 1.04/1.13 tff(1396,plain,
% 1.04/1.13 (~(cell23 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1395, 1394])).
% 1.04/1.13 tff(1397,plain,
% 1.04/1.13 (~(cell89 = cell23)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1396, 1393])).
% 1.04/1.13 tff(1398,plain,
% 1.04/1.13 (((~(X!1 = cell22)) | (~(cell89 = cell23))) | (cell89 = cell23)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1399,plain,
% 1.04/1.13 ((~(X!1 = cell22)) | (~(cell89 = cell23))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1398, 1397])).
% 1.04/1.13 tff(1400,plain,
% 1.04/1.13 ((cell89 = cell24) <=> (cell24 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1401,plain,
% 1.04/1.13 ((cell24 = cell89) <=> (cell89 = cell24)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1400])).
% 1.04/1.13 tff(1402,plain,
% 1.04/1.13 ((~(cell24 = cell89)) <=> (~(cell89 = cell24))),
% 1.04/1.13 inference(monotonicity,[status(thm)],[1401])).
% 1.04/1.13 tff(1403,plain,
% 1.04/1.13 ((~(cell24 = cell89)) <=> (~(cell24 = cell89))),
% 1.04/1.13 inference(rewrite,[status(thm)],[])).
% 1.04/1.13 tff(1404,axiom,(~(cell24 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49543')).
% 1.04/1.13 tff(1405,plain,
% 1.04/1.13 (~(cell24 = cell89)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1404, 1403])).
% 1.04/1.13 tff(1406,plain,
% 1.04/1.13 (~(cell89 = cell24)),
% 1.04/1.13 inference(modus_ponens,[status(thm)],[1405, 1402])).
% 1.04/1.13 tff(1407,plain,
% 1.04/1.13 (((~(X!1 = cell23)) | (~(cell89 = cell24))) | (cell89 = cell24)),
% 1.04/1.13 inference(tautology,[status(thm)],[])).
% 1.04/1.13 tff(1408,plain,
% 1.04/1.13 ((~(X!1 = cell23)) | (~(cell89 = cell24))),
% 1.04/1.13 inference(unit_resolution,[status(thm)],[1407, 1406])).
% 1.04/1.13 tff(1409,plain,
% 1.04/1.13 ((cell89 = cell25) <=> (cell25 = cell89)),
% 1.04/1.13 inference(commutativity,[status(thm)],[])).
% 1.04/1.13 tff(1410,plain,
% 1.04/1.13 ((cell25 = cell89) <=> (cell89 = cell25)),
% 1.04/1.13 inference(symmetry,[status(thm)],[1409])).
% 1.04/1.13 tff(1411,plain,
% 1.04/1.13 ((~(cell25 = cell89)) <=> (~(cell89 = cell25))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1410])).
% 1.04/1.14 tff(1412,plain,
% 1.04/1.14 ((~(cell25 = cell89)) <=> (~(cell25 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1413,axiom,(~(cell25 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49515')).
% 1.04/1.14 tff(1414,plain,
% 1.04/1.14 (~(cell25 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1413, 1412])).
% 1.04/1.14 tff(1415,plain,
% 1.04/1.14 (~(cell89 = cell25)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1414, 1411])).
% 1.04/1.14 tff(1416,plain,
% 1.04/1.14 (((~(X!1 = cell24)) | (~(cell89 = cell25))) | (cell89 = cell25)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1417,plain,
% 1.04/1.14 ((~(X!1 = cell24)) | (~(cell89 = cell25))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1416, 1415])).
% 1.04/1.14 tff(1418,plain,
% 1.04/1.14 ((cell89 = cell26) <=> (cell26 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1419,plain,
% 1.04/1.14 ((cell26 = cell89) <=> (cell89 = cell26)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1418])).
% 1.04/1.14 tff(1420,plain,
% 1.04/1.14 ((~(cell26 = cell89)) <=> (~(cell89 = cell26))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1419])).
% 1.04/1.14 tff(1421,plain,
% 1.04/1.14 ((~(cell26 = cell89)) <=> (~(cell26 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1422,axiom,(~(cell26 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49486')).
% 1.04/1.14 tff(1423,plain,
% 1.04/1.14 (~(cell26 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1422, 1421])).
% 1.04/1.14 tff(1424,plain,
% 1.04/1.14 (~(cell89 = cell26)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1423, 1420])).
% 1.04/1.14 tff(1425,plain,
% 1.04/1.14 (((~(X!1 = cell25)) | (~(cell89 = cell26))) | (cell89 = cell26)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1426,plain,
% 1.04/1.14 ((~(X!1 = cell25)) | (~(cell89 = cell26))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1425, 1424])).
% 1.04/1.14 tff(1427,plain,
% 1.04/1.14 ((cell89 = cell27) <=> (cell27 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1428,plain,
% 1.04/1.14 ((cell27 = cell89) <=> (cell89 = cell27)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1427])).
% 1.04/1.14 tff(1429,plain,
% 1.04/1.14 ((~(cell27 = cell89)) <=> (~(cell89 = cell27))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1428])).
% 1.04/1.14 tff(1430,plain,
% 1.04/1.14 ((~(cell27 = cell89)) <=> (~(cell27 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1431,axiom,(~(cell27 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49456')).
% 1.04/1.14 tff(1432,plain,
% 1.04/1.14 (~(cell27 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1431, 1430])).
% 1.04/1.14 tff(1433,plain,
% 1.04/1.14 (~(cell89 = cell27)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1432, 1429])).
% 1.04/1.14 tff(1434,plain,
% 1.04/1.14 (((~(X!1 = cell26)) | (~(cell89 = cell27))) | (cell89 = cell27)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1435,plain,
% 1.04/1.14 ((~(X!1 = cell26)) | (~(cell89 = cell27))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1434, 1433])).
% 1.04/1.14 tff(1436,plain,
% 1.04/1.14 ((cell89 = cell28) <=> (cell28 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1437,plain,
% 1.04/1.14 ((cell28 = cell89) <=> (cell89 = cell28)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1436])).
% 1.04/1.14 tff(1438,plain,
% 1.04/1.14 ((~(cell28 = cell89)) <=> (~(cell89 = cell28))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1437])).
% 1.04/1.14 tff(1439,plain,
% 1.04/1.14 ((~(cell28 = cell89)) <=> (~(cell28 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1440,axiom,(~(cell28 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49425')).
% 1.04/1.14 tff(1441,plain,
% 1.04/1.14 (~(cell28 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 1.04/1.14 tff(1442,plain,
% 1.04/1.14 (~(cell89 = cell28)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1441, 1438])).
% 1.04/1.14 tff(1443,plain,
% 1.04/1.14 (((~(X!1 = cell27)) | (~(cell89 = cell28))) | (cell89 = cell28)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1444,plain,
% 1.04/1.14 ((~(X!1 = cell27)) | (~(cell89 = cell28))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1443, 1442])).
% 1.04/1.14 tff(1445,plain,
% 1.04/1.14 ((cell89 = cell29) <=> (cell29 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1446,plain,
% 1.04/1.14 ((cell29 = cell89) <=> (cell89 = cell29)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1445])).
% 1.04/1.14 tff(1447,plain,
% 1.04/1.14 ((~(cell29 = cell89)) <=> (~(cell89 = cell29))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1446])).
% 1.04/1.14 tff(1448,plain,
% 1.04/1.14 ((~(cell29 = cell89)) <=> (~(cell29 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1449,axiom,(~(cell29 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49393')).
% 1.04/1.14 tff(1450,plain,
% 1.04/1.14 (~(cell29 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 1.04/1.14 tff(1451,plain,
% 1.04/1.14 (~(cell89 = cell29)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1450, 1447])).
% 1.04/1.14 tff(1452,plain,
% 1.04/1.14 (((~(X!1 = cell28)) | (~(cell89 = cell29))) | (cell89 = cell29)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1453,plain,
% 1.04/1.14 ((~(X!1 = cell28)) | (~(cell89 = cell29))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1452, 1451])).
% 1.04/1.14 tff(1454,plain,
% 1.04/1.14 ((cell89 = cell30) <=> (cell30 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1455,plain,
% 1.04/1.14 ((cell30 = cell89) <=> (cell89 = cell30)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1454])).
% 1.04/1.14 tff(1456,plain,
% 1.04/1.14 ((~(cell30 = cell89)) <=> (~(cell89 = cell30))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1455])).
% 1.04/1.14 tff(1457,plain,
% 1.04/1.14 ((~(cell30 = cell89)) <=> (~(cell30 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1458,axiom,(~(cell30 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49360')).
% 1.04/1.14 tff(1459,plain,
% 1.04/1.14 (~(cell30 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1458, 1457])).
% 1.04/1.14 tff(1460,plain,
% 1.04/1.14 (~(cell89 = cell30)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1459, 1456])).
% 1.04/1.14 tff(1461,plain,
% 1.04/1.14 (((~(X!1 = cell29)) | (~(cell89 = cell30))) | (cell89 = cell30)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1462,plain,
% 1.04/1.14 ((~(X!1 = cell29)) | (~(cell89 = cell30))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1461, 1460])).
% 1.04/1.14 tff(1463,plain,
% 1.04/1.14 ((cell89 = cell32) <=> (cell32 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1464,plain,
% 1.04/1.14 ((cell32 = cell89) <=> (cell89 = cell32)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1463])).
% 1.04/1.14 tff(1465,plain,
% 1.04/1.14 ((~(cell32 = cell89)) <=> (~(cell89 = cell32))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1464])).
% 1.04/1.14 tff(1466,plain,
% 1.04/1.14 ((~(cell32 = cell89)) <=> (~(cell32 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1467,axiom,(~(cell32 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49326')).
% 1.04/1.14 tff(1468,plain,
% 1.04/1.14 (~(cell32 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 1.04/1.14 tff(1469,plain,
% 1.04/1.14 (~(cell89 = cell32)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1468, 1465])).
% 1.04/1.14 tff(1470,plain,
% 1.04/1.14 (((~(X!1 = cell31)) | (~(cell89 = cell32))) | (cell89 = cell32)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1471,plain,
% 1.04/1.14 ((~(X!1 = cell31)) | (~(cell89 = cell32))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1470, 1469])).
% 1.04/1.14 tff(1472,plain,
% 1.04/1.14 ((cell89 = cell33) <=> (cell33 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1473,plain,
% 1.04/1.14 ((cell33 = cell89) <=> (cell89 = cell33)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1472])).
% 1.04/1.14 tff(1474,plain,
% 1.04/1.14 ((~(cell33 = cell89)) <=> (~(cell89 = cell33))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1473])).
% 1.04/1.14 tff(1475,plain,
% 1.04/1.14 ((~(cell33 = cell89)) <=> (~(cell33 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1476,axiom,(~(cell33 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49255')).
% 1.04/1.14 tff(1477,plain,
% 1.04/1.14 (~(cell33 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 1.04/1.14 tff(1478,plain,
% 1.04/1.14 (~(cell89 = cell33)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1477, 1474])).
% 1.04/1.14 tff(1479,plain,
% 1.04/1.14 (((~(X!1 = cell32)) | (~(cell89 = cell33))) | (cell89 = cell33)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1480,plain,
% 1.04/1.14 ((~(X!1 = cell32)) | (~(cell89 = cell33))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1479, 1478])).
% 1.04/1.14 tff(1481,plain,
% 1.04/1.14 ((cell89 = cell34) <=> (cell34 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1482,plain,
% 1.04/1.14 ((cell34 = cell89) <=> (cell89 = cell34)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1481])).
% 1.04/1.14 tff(1483,plain,
% 1.04/1.14 ((~(cell34 = cell89)) <=> (~(cell89 = cell34))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1482])).
% 1.04/1.14 tff(1484,plain,
% 1.04/1.14 ((~(cell34 = cell89)) <=> (~(cell34 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1485,axiom,(~(cell34 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49218')).
% 1.04/1.14 tff(1486,plain,
% 1.04/1.14 (~(cell34 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 1.04/1.14 tff(1487,plain,
% 1.04/1.14 (~(cell89 = cell34)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1486, 1483])).
% 1.04/1.14 tff(1488,plain,
% 1.04/1.14 (((~(X!1 = cell33)) | (~(cell89 = cell34))) | (cell89 = cell34)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1489,plain,
% 1.04/1.14 ((~(X!1 = cell33)) | (~(cell89 = cell34))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1488, 1487])).
% 1.04/1.14 tff(1490,plain,
% 1.04/1.14 ((cell89 = cell35) <=> (cell35 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1491,plain,
% 1.04/1.14 ((cell35 = cell89) <=> (cell89 = cell35)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1490])).
% 1.04/1.14 tff(1492,plain,
% 1.04/1.14 ((~(cell35 = cell89)) <=> (~(cell89 = cell35))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1491])).
% 1.04/1.14 tff(1493,plain,
% 1.04/1.14 ((~(cell35 = cell89)) <=> (~(cell35 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1494,axiom,(~(cell35 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49180')).
% 1.04/1.14 tff(1495,plain,
% 1.04/1.14 (~(cell35 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 1.04/1.14 tff(1496,plain,
% 1.04/1.14 (~(cell89 = cell35)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1495, 1492])).
% 1.04/1.14 tff(1497,plain,
% 1.04/1.14 (((~(X!1 = cell34)) | (~(cell89 = cell35))) | (cell89 = cell35)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1498,plain,
% 1.04/1.14 ((~(X!1 = cell34)) | (~(cell89 = cell35))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1497, 1496])).
% 1.04/1.14 tff(1499,plain,
% 1.04/1.14 ((cell89 = cell36) <=> (cell36 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1500,plain,
% 1.04/1.14 ((cell36 = cell89) <=> (cell89 = cell36)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1499])).
% 1.04/1.14 tff(1501,plain,
% 1.04/1.14 ((~(cell36 = cell89)) <=> (~(cell89 = cell36))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1500])).
% 1.04/1.14 tff(1502,plain,
% 1.04/1.14 ((~(cell36 = cell89)) <=> (~(cell36 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1503,axiom,(~(cell36 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49141')).
% 1.04/1.14 tff(1504,plain,
% 1.04/1.14 (~(cell36 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 1.04/1.14 tff(1505,plain,
% 1.04/1.14 (~(cell89 = cell36)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1504, 1501])).
% 1.04/1.14 tff(1506,plain,
% 1.04/1.14 (((~(X!1 = cell35)) | (~(cell89 = cell36))) | (cell89 = cell36)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1507,plain,
% 1.04/1.14 ((~(X!1 = cell35)) | (~(cell89 = cell36))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1506, 1505])).
% 1.04/1.14 tff(1508,plain,
% 1.04/1.14 ((cell89 = cell37) <=> (cell37 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1509,plain,
% 1.04/1.14 ((cell37 = cell89) <=> (cell89 = cell37)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1508])).
% 1.04/1.14 tff(1510,plain,
% 1.04/1.14 ((~(cell37 = cell89)) <=> (~(cell89 = cell37))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1509])).
% 1.04/1.14 tff(1511,plain,
% 1.04/1.14 ((~(cell37 = cell89)) <=> (~(cell37 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1512,axiom,(~(cell37 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49101')).
% 1.04/1.14 tff(1513,plain,
% 1.04/1.14 (~(cell37 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 1.04/1.14 tff(1514,plain,
% 1.04/1.14 (~(cell89 = cell37)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1513, 1510])).
% 1.04/1.14 tff(1515,plain,
% 1.04/1.14 (((~(X!1 = cell36)) | (~(cell89 = cell37))) | (cell89 = cell37)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1516,plain,
% 1.04/1.14 ((~(X!1 = cell36)) | (~(cell89 = cell37))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1515, 1514])).
% 1.04/1.14 tff(1517,plain,
% 1.04/1.14 ((cell89 = cell38) <=> (cell38 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1518,plain,
% 1.04/1.14 ((cell38 = cell89) <=> (cell89 = cell38)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1517])).
% 1.04/1.14 tff(1519,plain,
% 1.04/1.14 ((~(cell38 = cell89)) <=> (~(cell89 = cell38))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1518])).
% 1.04/1.14 tff(1520,plain,
% 1.04/1.14 ((~(cell38 = cell89)) <=> (~(cell38 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1521,axiom,(~(cell38 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49060')).
% 1.04/1.14 tff(1522,plain,
% 1.04/1.14 (~(cell38 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 1.04/1.14 tff(1523,plain,
% 1.04/1.14 (~(cell89 = cell38)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1522, 1519])).
% 1.04/1.14 tff(1524,plain,
% 1.04/1.14 (((~(X!1 = cell37)) | (~(cell89 = cell38))) | (cell89 = cell38)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1525,plain,
% 1.04/1.14 ((~(X!1 = cell37)) | (~(cell89 = cell38))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1524, 1523])).
% 1.04/1.14 tff(1526,plain,
% 1.04/1.14 ((cell89 = cell39) <=> (cell39 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1527,plain,
% 1.04/1.14 ((cell39 = cell89) <=> (cell89 = cell39)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1526])).
% 1.04/1.14 tff(1528,plain,
% 1.04/1.14 ((~(cell39 = cell89)) <=> (~(cell89 = cell39))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1527])).
% 1.04/1.14 tff(1529,plain,
% 1.04/1.14 ((~(cell39 = cell89)) <=> (~(cell39 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1530,axiom,(~(cell39 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49018')).
% 1.04/1.14 tff(1531,plain,
% 1.04/1.14 (~(cell39 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1530, 1529])).
% 1.04/1.14 tff(1532,plain,
% 1.04/1.14 (~(cell89 = cell39)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1531, 1528])).
% 1.04/1.14 tff(1533,plain,
% 1.04/1.14 (((~(X!1 = cell38)) | (~(cell89 = cell39))) | (cell89 = cell39)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1534,plain,
% 1.04/1.14 ((~(X!1 = cell38)) | (~(cell89 = cell39))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1533, 1532])).
% 1.04/1.14 tff(1535,plain,
% 1.04/1.14 ((cell89 = cell40) <=> (cell40 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1536,plain,
% 1.04/1.14 ((cell40 = cell89) <=> (cell89 = cell40)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1535])).
% 1.04/1.14 tff(1537,plain,
% 1.04/1.14 ((~(cell40 = cell89)) <=> (~(cell89 = cell40))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1536])).
% 1.04/1.14 tff(1538,plain,
% 1.04/1.14 ((~(cell40 = cell89)) <=> (~(cell40 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1539,axiom,(~(cell40 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48975')).
% 1.04/1.14 tff(1540,plain,
% 1.04/1.14 (~(cell40 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 1.04/1.14 tff(1541,plain,
% 1.04/1.14 (~(cell89 = cell40)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1540, 1537])).
% 1.04/1.14 tff(1542,plain,
% 1.04/1.14 (((~(X!1 = cell39)) | (~(cell89 = cell40))) | (cell89 = cell40)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1543,plain,
% 1.04/1.14 ((~(X!1 = cell39)) | (~(cell89 = cell40))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1542, 1541])).
% 1.04/1.14 tff(1544,plain,
% 1.04/1.14 ((cell89 = cell42) <=> (cell42 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1545,plain,
% 1.04/1.14 ((cell42 = cell89) <=> (cell89 = cell42)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1544])).
% 1.04/1.14 tff(1546,plain,
% 1.04/1.14 ((~(cell42 = cell89)) <=> (~(cell89 = cell42))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1545])).
% 1.04/1.14 tff(1547,plain,
% 1.04/1.14 ((~(cell42 = cell89)) <=> (~(cell42 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1548,axiom,(~(cell42 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48931')).
% 1.04/1.14 tff(1549,plain,
% 1.04/1.14 (~(cell42 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 1.04/1.14 tff(1550,plain,
% 1.04/1.14 (~(cell89 = cell42)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1549, 1546])).
% 1.04/1.14 tff(1551,plain,
% 1.04/1.14 (((~(X!1 = cell41)) | (~(cell89 = cell42))) | (cell89 = cell42)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1552,plain,
% 1.04/1.14 ((~(X!1 = cell41)) | (~(cell89 = cell42))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1551, 1550])).
% 1.04/1.14 tff(1553,plain,
% 1.04/1.14 ((cell89 = cell43) <=> (cell43 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1554,plain,
% 1.04/1.14 ((cell43 = cell89) <=> (cell89 = cell43)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1553])).
% 1.04/1.14 tff(1555,plain,
% 1.04/1.14 ((~(cell43 = cell89)) <=> (~(cell89 = cell43))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1554])).
% 1.04/1.14 tff(1556,plain,
% 1.04/1.14 ((~(cell43 = cell89)) <=> (~(cell43 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1557,axiom,(~(cell43 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48840')).
% 1.04/1.14 tff(1558,plain,
% 1.04/1.14 (~(cell43 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1557, 1556])).
% 1.04/1.14 tff(1559,plain,
% 1.04/1.14 (~(cell89 = cell43)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1558, 1555])).
% 1.04/1.14 tff(1560,plain,
% 1.04/1.14 (((~(X!1 = cell42)) | (~(cell89 = cell43))) | (cell89 = cell43)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1561,plain,
% 1.04/1.14 ((~(X!1 = cell42)) | (~(cell89 = cell43))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1560, 1559])).
% 1.04/1.14 tff(1562,plain,
% 1.04/1.14 ((cell89 = cell44) <=> (cell44 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1563,plain,
% 1.04/1.14 ((cell44 = cell89) <=> (cell89 = cell44)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1562])).
% 1.04/1.14 tff(1564,plain,
% 1.04/1.14 ((~(cell44 = cell89)) <=> (~(cell89 = cell44))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1563])).
% 1.04/1.14 tff(1565,plain,
% 1.04/1.14 ((~(cell44 = cell89)) <=> (~(cell44 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1566,axiom,(~(cell44 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48793')).
% 1.04/1.14 tff(1567,plain,
% 1.04/1.14 (~(cell44 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1566, 1565])).
% 1.04/1.14 tff(1568,plain,
% 1.04/1.14 (~(cell89 = cell44)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1567, 1564])).
% 1.04/1.14 tff(1569,plain,
% 1.04/1.14 (((~(X!1 = cell43)) | (~(cell89 = cell44))) | (cell89 = cell44)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1570,plain,
% 1.04/1.14 ((~(X!1 = cell43)) | (~(cell89 = cell44))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1569, 1568])).
% 1.04/1.14 tff(1571,plain,
% 1.04/1.14 ((cell89 = cell45) <=> (cell45 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1572,plain,
% 1.04/1.14 ((cell45 = cell89) <=> (cell89 = cell45)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1571])).
% 1.04/1.14 tff(1573,plain,
% 1.04/1.14 ((~(cell45 = cell89)) <=> (~(cell89 = cell45))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1572])).
% 1.04/1.14 tff(1574,plain,
% 1.04/1.14 ((~(cell45 = cell89)) <=> (~(cell45 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1575,axiom,(~(cell45 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48745')).
% 1.04/1.14 tff(1576,plain,
% 1.04/1.14 (~(cell45 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 1.04/1.14 tff(1577,plain,
% 1.04/1.14 (~(cell89 = cell45)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1576, 1573])).
% 1.04/1.14 tff(1578,plain,
% 1.04/1.14 (((~(X!1 = cell44)) | (~(cell89 = cell45))) | (cell89 = cell45)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1579,plain,
% 1.04/1.14 ((~(X!1 = cell44)) | (~(cell89 = cell45))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1578, 1577])).
% 1.04/1.14 tff(1580,plain,
% 1.04/1.14 ((cell89 = cell46) <=> (cell46 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1581,plain,
% 1.04/1.14 ((cell46 = cell89) <=> (cell89 = cell46)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1580])).
% 1.04/1.14 tff(1582,plain,
% 1.04/1.14 ((~(cell46 = cell89)) <=> (~(cell89 = cell46))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1581])).
% 1.04/1.14 tff(1583,plain,
% 1.04/1.14 ((~(cell46 = cell89)) <=> (~(cell46 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1584,axiom,(~(cell46 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48696')).
% 1.04/1.14 tff(1585,plain,
% 1.04/1.14 (~(cell46 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 1.04/1.14 tff(1586,plain,
% 1.04/1.14 (~(cell89 = cell46)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1585, 1582])).
% 1.04/1.14 tff(1587,plain,
% 1.04/1.14 (((~(X!1 = cell45)) | (~(cell89 = cell46))) | (cell89 = cell46)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1588,plain,
% 1.04/1.14 ((~(X!1 = cell45)) | (~(cell89 = cell46))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1587, 1586])).
% 1.04/1.14 tff(1589,plain,
% 1.04/1.14 ((cell89 = cell47) <=> (cell47 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1590,plain,
% 1.04/1.14 ((cell47 = cell89) <=> (cell89 = cell47)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1589])).
% 1.04/1.14 tff(1591,plain,
% 1.04/1.14 ((~(cell47 = cell89)) <=> (~(cell89 = cell47))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1590])).
% 1.04/1.14 tff(1592,plain,
% 1.04/1.14 ((~(cell47 = cell89)) <=> (~(cell47 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1593,axiom,(~(cell47 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48646')).
% 1.04/1.14 tff(1594,plain,
% 1.04/1.14 (~(cell47 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 1.04/1.14 tff(1595,plain,
% 1.04/1.14 (~(cell89 = cell47)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1594, 1591])).
% 1.04/1.14 tff(1596,plain,
% 1.04/1.14 (((~(X!1 = cell46)) | (~(cell89 = cell47))) | (cell89 = cell47)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1597,plain,
% 1.04/1.14 ((~(X!1 = cell46)) | (~(cell89 = cell47))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1596, 1595])).
% 1.04/1.14 tff(1598,plain,
% 1.04/1.14 ((cell89 = cell48) <=> (cell48 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1599,plain,
% 1.04/1.14 ((cell48 = cell89) <=> (cell89 = cell48)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1598])).
% 1.04/1.14 tff(1600,plain,
% 1.04/1.14 ((~(cell48 = cell89)) <=> (~(cell89 = cell48))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1599])).
% 1.04/1.14 tff(1601,plain,
% 1.04/1.14 ((~(cell48 = cell89)) <=> (~(cell48 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1602,axiom,(~(cell48 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48595')).
% 1.04/1.14 tff(1603,plain,
% 1.04/1.14 (~(cell48 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 1.04/1.14 tff(1604,plain,
% 1.04/1.14 (~(cell89 = cell48)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1603, 1600])).
% 1.04/1.14 tff(1605,plain,
% 1.04/1.14 (((~(X!1 = cell47)) | (~(cell89 = cell48))) | (cell89 = cell48)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1606,plain,
% 1.04/1.14 ((~(X!1 = cell47)) | (~(cell89 = cell48))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1605, 1604])).
% 1.04/1.14 tff(1607,plain,
% 1.04/1.14 ((cell89 = cell49) <=> (cell49 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1608,plain,
% 1.04/1.14 ((cell49 = cell89) <=> (cell89 = cell49)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1607])).
% 1.04/1.14 tff(1609,plain,
% 1.04/1.14 ((~(cell49 = cell89)) <=> (~(cell89 = cell49))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1608])).
% 1.04/1.14 tff(1610,plain,
% 1.04/1.14 ((~(cell49 = cell89)) <=> (~(cell49 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1611,axiom,(~(cell49 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48543')).
% 1.04/1.14 tff(1612,plain,
% 1.04/1.14 (~(cell49 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 1.04/1.14 tff(1613,plain,
% 1.04/1.14 (~(cell89 = cell49)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1612, 1609])).
% 1.04/1.14 tff(1614,plain,
% 1.04/1.14 (((~(X!1 = cell48)) | (~(cell89 = cell49))) | (cell89 = cell49)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1615,plain,
% 1.04/1.14 ((~(X!1 = cell48)) | (~(cell89 = cell49))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1614, 1613])).
% 1.04/1.14 tff(1616,plain,
% 1.04/1.14 ((cell89 = cell50) <=> (cell50 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1617,plain,
% 1.04/1.14 ((cell50 = cell89) <=> (cell89 = cell50)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1616])).
% 1.04/1.14 tff(1618,plain,
% 1.04/1.14 ((~(cell50 = cell89)) <=> (~(cell89 = cell50))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1617])).
% 1.04/1.14 tff(1619,plain,
% 1.04/1.14 ((~(cell50 = cell89)) <=> (~(cell50 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1620,axiom,(~(cell50 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48490')).
% 1.04/1.14 tff(1621,plain,
% 1.04/1.14 (~(cell50 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1620, 1619])).
% 1.04/1.14 tff(1622,plain,
% 1.04/1.14 (~(cell89 = cell50)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1621, 1618])).
% 1.04/1.14 tff(1623,plain,
% 1.04/1.14 (((~(X!1 = cell49)) | (~(cell89 = cell50))) | (cell89 = cell50)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1624,plain,
% 1.04/1.14 ((~(X!1 = cell49)) | (~(cell89 = cell50))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1623, 1622])).
% 1.04/1.14 tff(1625,plain,
% 1.04/1.14 ((cell89 = cell52) <=> (cell52 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1626,plain,
% 1.04/1.14 ((cell52 = cell89) <=> (cell89 = cell52)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1625])).
% 1.04/1.14 tff(1627,plain,
% 1.04/1.14 ((~(cell52 = cell89)) <=> (~(cell89 = cell52))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1626])).
% 1.04/1.14 tff(1628,plain,
% 1.04/1.14 ((~(cell52 = cell89)) <=> (~(cell52 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1629,axiom,(~(cell52 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48436')).
% 1.04/1.14 tff(1630,plain,
% 1.04/1.14 (~(cell52 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 1.04/1.14 tff(1631,plain,
% 1.04/1.14 (~(cell89 = cell52)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1630, 1627])).
% 1.04/1.14 tff(1632,plain,
% 1.04/1.14 (((~(X!1 = cell51)) | (~(cell89 = cell52))) | (cell89 = cell52)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1633,plain,
% 1.04/1.14 ((~(X!1 = cell51)) | (~(cell89 = cell52))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1632, 1631])).
% 1.04/1.14 tff(1634,plain,
% 1.04/1.14 ((cell89 = cell53) <=> (cell53 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1635,plain,
% 1.04/1.14 ((cell53 = cell89) <=> (cell89 = cell53)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1634])).
% 1.04/1.14 tff(1636,plain,
% 1.04/1.14 ((~(cell53 = cell89)) <=> (~(cell89 = cell53))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1635])).
% 1.04/1.14 tff(1637,plain,
% 1.04/1.14 ((~(cell53 = cell89)) <=> (~(cell53 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1638,axiom,(~(cell53 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48325')).
% 1.04/1.14 tff(1639,plain,
% 1.04/1.14 (~(cell53 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 1.04/1.14 tff(1640,plain,
% 1.04/1.14 (~(cell89 = cell53)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1639, 1636])).
% 1.04/1.14 tff(1641,plain,
% 1.04/1.14 (((~(X!1 = cell52)) | (~(cell89 = cell53))) | (cell89 = cell53)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1642,plain,
% 1.04/1.14 ((~(X!1 = cell52)) | (~(cell89 = cell53))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1641, 1640])).
% 1.04/1.14 tff(1643,plain,
% 1.04/1.14 ((cell89 = cell54) <=> (cell54 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1644,plain,
% 1.04/1.14 ((cell54 = cell89) <=> (cell89 = cell54)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1643])).
% 1.04/1.14 tff(1645,plain,
% 1.04/1.14 ((~(cell54 = cell89)) <=> (~(cell89 = cell54))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1644])).
% 1.04/1.14 tff(1646,plain,
% 1.04/1.14 ((~(cell54 = cell89)) <=> (~(cell54 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1647,axiom,(~(cell54 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48268')).
% 1.04/1.14 tff(1648,plain,
% 1.04/1.14 (~(cell54 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 1.04/1.14 tff(1649,plain,
% 1.04/1.14 (~(cell89 = cell54)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1648, 1645])).
% 1.04/1.14 tff(1650,plain,
% 1.04/1.14 (((~(X!1 = cell53)) | (~(cell89 = cell54))) | (cell89 = cell54)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1651,plain,
% 1.04/1.14 ((~(X!1 = cell53)) | (~(cell89 = cell54))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1650, 1649])).
% 1.04/1.14 tff(1652,plain,
% 1.04/1.14 ((cell89 = cell55) <=> (cell55 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1653,plain,
% 1.04/1.14 ((cell55 = cell89) <=> (cell89 = cell55)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1652])).
% 1.04/1.14 tff(1654,plain,
% 1.04/1.14 ((~(cell55 = cell89)) <=> (~(cell89 = cell55))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1653])).
% 1.04/1.14 tff(1655,plain,
% 1.04/1.14 ((~(cell55 = cell89)) <=> (~(cell55 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1656,axiom,(~(cell55 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48210')).
% 1.04/1.14 tff(1657,plain,
% 1.04/1.14 (~(cell55 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 1.04/1.14 tff(1658,plain,
% 1.04/1.14 (~(cell89 = cell55)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1657, 1654])).
% 1.04/1.14 tff(1659,plain,
% 1.04/1.14 (((~(X!1 = cell54)) | (~(cell89 = cell55))) | (cell89 = cell55)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1660,plain,
% 1.04/1.14 ((~(X!1 = cell54)) | (~(cell89 = cell55))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1659, 1658])).
% 1.04/1.14 tff(1661,plain,
% 1.04/1.14 ((cell89 = cell56) <=> (cell56 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1662,plain,
% 1.04/1.14 ((cell56 = cell89) <=> (cell89 = cell56)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1661])).
% 1.04/1.14 tff(1663,plain,
% 1.04/1.14 ((~(cell56 = cell89)) <=> (~(cell89 = cell56))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1662])).
% 1.04/1.14 tff(1664,plain,
% 1.04/1.14 ((~(cell56 = cell89)) <=> (~(cell56 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1665,axiom,(~(cell56 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48151')).
% 1.04/1.14 tff(1666,plain,
% 1.04/1.14 (~(cell56 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 1.04/1.14 tff(1667,plain,
% 1.04/1.14 (~(cell89 = cell56)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1666, 1663])).
% 1.04/1.14 tff(1668,plain,
% 1.04/1.14 (((~(X!1 = cell55)) | (~(cell89 = cell56))) | (cell89 = cell56)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1669,plain,
% 1.04/1.14 ((~(X!1 = cell55)) | (~(cell89 = cell56))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1668, 1667])).
% 1.04/1.14 tff(1670,plain,
% 1.04/1.14 ((cell89 = cell57) <=> (cell57 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1671,plain,
% 1.04/1.14 ((cell57 = cell89) <=> (cell89 = cell57)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1670])).
% 1.04/1.14 tff(1672,plain,
% 1.04/1.14 ((~(cell57 = cell89)) <=> (~(cell89 = cell57))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1671])).
% 1.04/1.14 tff(1673,plain,
% 1.04/1.14 ((~(cell57 = cell89)) <=> (~(cell57 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1674,axiom,(~(cell57 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48091')).
% 1.04/1.14 tff(1675,plain,
% 1.04/1.14 (~(cell57 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 1.04/1.14 tff(1676,plain,
% 1.04/1.14 (~(cell89 = cell57)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1675, 1672])).
% 1.04/1.14 tff(1677,plain,
% 1.04/1.14 (((~(X!1 = cell56)) | (~(cell89 = cell57))) | (cell89 = cell57)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1678,plain,
% 1.04/1.14 ((~(X!1 = cell56)) | (~(cell89 = cell57))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1677, 1676])).
% 1.04/1.14 tff(1679,plain,
% 1.04/1.14 ((cell89 = cell58) <=> (cell58 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1680,plain,
% 1.04/1.14 ((cell58 = cell89) <=> (cell89 = cell58)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1679])).
% 1.04/1.14 tff(1681,plain,
% 1.04/1.14 ((~(cell58 = cell89)) <=> (~(cell89 = cell58))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1680])).
% 1.04/1.14 tff(1682,plain,
% 1.04/1.14 ((~(cell58 = cell89)) <=> (~(cell58 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1683,axiom,(~(cell58 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48030')).
% 1.04/1.14 tff(1684,plain,
% 1.04/1.14 (~(cell58 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 1.04/1.14 tff(1685,plain,
% 1.04/1.14 (~(cell89 = cell58)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1684, 1681])).
% 1.04/1.14 tff(1686,plain,
% 1.04/1.14 (((~(X!1 = cell57)) | (~(cell89 = cell58))) | (cell89 = cell58)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1687,plain,
% 1.04/1.14 ((~(X!1 = cell57)) | (~(cell89 = cell58))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1686, 1685])).
% 1.04/1.14 tff(1688,plain,
% 1.04/1.14 ((cell89 = cell59) <=> (cell59 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1689,plain,
% 1.04/1.14 ((cell59 = cell89) <=> (cell89 = cell59)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1688])).
% 1.04/1.14 tff(1690,plain,
% 1.04/1.14 ((~(cell59 = cell89)) <=> (~(cell89 = cell59))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1689])).
% 1.04/1.14 tff(1691,plain,
% 1.04/1.14 ((~(cell59 = cell89)) <=> (~(cell59 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1692,axiom,(~(cell59 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47968')).
% 1.04/1.14 tff(1693,plain,
% 1.04/1.14 (~(cell59 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 1.04/1.14 tff(1694,plain,
% 1.04/1.14 (~(cell89 = cell59)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1693, 1690])).
% 1.04/1.14 tff(1695,plain,
% 1.04/1.14 (((~(X!1 = cell58)) | (~(cell89 = cell59))) | (cell89 = cell59)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1696,plain,
% 1.04/1.14 ((~(X!1 = cell58)) | (~(cell89 = cell59))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1695, 1694])).
% 1.04/1.14 tff(1697,plain,
% 1.04/1.14 ((cell89 = cell60) <=> (cell60 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1698,plain,
% 1.04/1.14 ((cell60 = cell89) <=> (cell89 = cell60)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1697])).
% 1.04/1.14 tff(1699,plain,
% 1.04/1.14 ((~(cell60 = cell89)) <=> (~(cell89 = cell60))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1698])).
% 1.04/1.14 tff(1700,plain,
% 1.04/1.14 ((~(cell60 = cell89)) <=> (~(cell60 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1701,axiom,(~(cell60 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47905')).
% 1.04/1.14 tff(1702,plain,
% 1.04/1.14 (~(cell60 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1701, 1700])).
% 1.04/1.14 tff(1703,plain,
% 1.04/1.14 (~(cell89 = cell60)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1702, 1699])).
% 1.04/1.14 tff(1704,plain,
% 1.04/1.14 (((~(X!1 = cell59)) | (~(cell89 = cell60))) | (cell89 = cell60)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1705,plain,
% 1.04/1.14 ((~(X!1 = cell59)) | (~(cell89 = cell60))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1704, 1703])).
% 1.04/1.14 tff(1706,plain,
% 1.04/1.14 ((cell89 = cell62) <=> (cell62 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1707,plain,
% 1.04/1.14 ((cell62 = cell89) <=> (cell89 = cell62)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1706])).
% 1.04/1.14 tff(1708,plain,
% 1.04/1.14 ((~(cell62 = cell89)) <=> (~(cell89 = cell62))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1707])).
% 1.04/1.14 tff(1709,plain,
% 1.04/1.14 ((~(cell62 = cell89)) <=> (~(cell62 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1710,axiom,(~(cell62 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47841')).
% 1.04/1.14 tff(1711,plain,
% 1.04/1.14 (~(cell62 = cell89)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1710, 1709])).
% 1.04/1.14 tff(1712,plain,
% 1.04/1.14 (~(cell89 = cell62)),
% 1.04/1.14 inference(modus_ponens,[status(thm)],[1711, 1708])).
% 1.04/1.14 tff(1713,plain,
% 1.04/1.14 (((~(X!1 = cell61)) | (~(cell89 = cell62))) | (cell89 = cell62)),
% 1.04/1.14 inference(tautology,[status(thm)],[])).
% 1.04/1.14 tff(1714,plain,
% 1.04/1.14 ((~(X!1 = cell61)) | (~(cell89 = cell62))),
% 1.04/1.14 inference(unit_resolution,[status(thm)],[1713, 1712])).
% 1.04/1.14 tff(1715,plain,
% 1.04/1.14 ((cell89 = cell63) <=> (cell63 = cell89)),
% 1.04/1.14 inference(commutativity,[status(thm)],[])).
% 1.04/1.14 tff(1716,plain,
% 1.04/1.14 ((cell63 = cell89) <=> (cell89 = cell63)),
% 1.04/1.14 inference(symmetry,[status(thm)],[1715])).
% 1.04/1.14 tff(1717,plain,
% 1.04/1.14 ((~(cell63 = cell89)) <=> (~(cell89 = cell63))),
% 1.04/1.14 inference(monotonicity,[status(thm)],[1716])).
% 1.04/1.14 tff(1718,plain,
% 1.04/1.14 ((~(cell63 = cell89)) <=> (~(cell63 = cell89))),
% 1.04/1.14 inference(rewrite,[status(thm)],[])).
% 1.04/1.14 tff(1719,axiom,(~(cell63 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47710')).
% 1.04/1.15 tff(1720,plain,
% 1.04/1.15 (~(cell63 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 1.04/1.15 tff(1721,plain,
% 1.04/1.15 (~(cell89 = cell63)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1720, 1717])).
% 1.04/1.15 tff(1722,plain,
% 1.04/1.15 (((~(X!1 = cell62)) | (~(cell89 = cell63))) | (cell89 = cell63)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1723,plain,
% 1.04/1.15 ((~(X!1 = cell62)) | (~(cell89 = cell63))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1722, 1721])).
% 1.04/1.15 tff(1724,plain,
% 1.04/1.15 ((cell89 = cell64) <=> (cell64 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1725,plain,
% 1.04/1.15 ((cell64 = cell89) <=> (cell89 = cell64)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1724])).
% 1.04/1.15 tff(1726,plain,
% 1.04/1.15 ((~(cell64 = cell89)) <=> (~(cell89 = cell64))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1725])).
% 1.04/1.15 tff(1727,plain,
% 1.04/1.15 ((~(cell64 = cell89)) <=> (~(cell64 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1728,axiom,(~(cell64 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47643')).
% 1.04/1.15 tff(1729,plain,
% 1.04/1.15 (~(cell64 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1728, 1727])).
% 1.04/1.15 tff(1730,plain,
% 1.04/1.15 (~(cell89 = cell64)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1729, 1726])).
% 1.04/1.15 tff(1731,plain,
% 1.04/1.15 (((~(X!1 = cell63)) | (~(cell89 = cell64))) | (cell89 = cell64)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1732,plain,
% 1.04/1.15 ((~(X!1 = cell63)) | (~(cell89 = cell64))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1731, 1730])).
% 1.04/1.15 tff(1733,plain,
% 1.04/1.15 ((cell89 = cell65) <=> (cell65 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1734,plain,
% 1.04/1.15 ((cell65 = cell89) <=> (cell89 = cell65)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1733])).
% 1.04/1.15 tff(1735,plain,
% 1.04/1.15 ((~(cell65 = cell89)) <=> (~(cell89 = cell65))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1734])).
% 1.04/1.15 tff(1736,plain,
% 1.04/1.15 ((~(cell65 = cell89)) <=> (~(cell65 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1737,axiom,(~(cell65 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47575')).
% 1.04/1.15 tff(1738,plain,
% 1.04/1.15 (~(cell65 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1737, 1736])).
% 1.04/1.15 tff(1739,plain,
% 1.04/1.15 (~(cell89 = cell65)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1738, 1735])).
% 1.04/1.15 tff(1740,plain,
% 1.04/1.15 (((~(X!1 = cell64)) | (~(cell89 = cell65))) | (cell89 = cell65)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1741,plain,
% 1.04/1.15 ((~(X!1 = cell64)) | (~(cell89 = cell65))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1740, 1739])).
% 1.04/1.15 tff(1742,plain,
% 1.04/1.15 ((cell89 = cell66) <=> (cell66 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1743,plain,
% 1.04/1.15 ((cell66 = cell89) <=> (cell89 = cell66)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1742])).
% 1.04/1.15 tff(1744,plain,
% 1.04/1.15 ((~(cell66 = cell89)) <=> (~(cell89 = cell66))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1743])).
% 1.04/1.15 tff(1745,plain,
% 1.04/1.15 ((~(cell66 = cell89)) <=> (~(cell66 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1746,axiom,(~(cell66 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47506')).
% 1.04/1.15 tff(1747,plain,
% 1.04/1.15 (~(cell66 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 1.04/1.15 tff(1748,plain,
% 1.04/1.15 (~(cell89 = cell66)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1747, 1744])).
% 1.04/1.15 tff(1749,plain,
% 1.04/1.15 (((~(X!1 = cell65)) | (~(cell89 = cell66))) | (cell89 = cell66)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1750,plain,
% 1.04/1.15 ((~(X!1 = cell65)) | (~(cell89 = cell66))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1749, 1748])).
% 1.04/1.15 tff(1751,plain,
% 1.04/1.15 ((cell89 = cell67) <=> (cell67 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1752,plain,
% 1.04/1.15 ((cell67 = cell89) <=> (cell89 = cell67)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1751])).
% 1.04/1.15 tff(1753,plain,
% 1.04/1.15 ((~(cell67 = cell89)) <=> (~(cell89 = cell67))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1752])).
% 1.04/1.15 tff(1754,plain,
% 1.04/1.15 ((~(cell67 = cell89)) <=> (~(cell67 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1755,axiom,(~(cell67 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47436')).
% 1.04/1.15 tff(1756,plain,
% 1.04/1.15 (~(cell67 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 1.04/1.15 tff(1757,plain,
% 1.04/1.15 (~(cell89 = cell67)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1756, 1753])).
% 1.04/1.15 tff(1758,plain,
% 1.04/1.15 (((~(X!1 = cell66)) | (~(cell89 = cell67))) | (cell89 = cell67)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1759,plain,
% 1.04/1.15 ((~(X!1 = cell66)) | (~(cell89 = cell67))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1758, 1757])).
% 1.04/1.15 tff(1760,plain,
% 1.04/1.15 ((cell89 = cell68) <=> (cell68 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1761,plain,
% 1.04/1.15 ((cell68 = cell89) <=> (cell89 = cell68)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1760])).
% 1.04/1.15 tff(1762,plain,
% 1.04/1.15 ((~(cell68 = cell89)) <=> (~(cell89 = cell68))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1761])).
% 1.04/1.15 tff(1763,plain,
% 1.04/1.15 ((~(cell68 = cell89)) <=> (~(cell68 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1764,axiom,(~(cell68 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47365')).
% 1.04/1.15 tff(1765,plain,
% 1.04/1.15 (~(cell68 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 1.04/1.15 tff(1766,plain,
% 1.04/1.15 (~(cell89 = cell68)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1765, 1762])).
% 1.04/1.15 tff(1767,plain,
% 1.04/1.15 (((~(X!1 = cell67)) | (~(cell89 = cell68))) | (cell89 = cell68)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1768,plain,
% 1.04/1.15 ((~(X!1 = cell67)) | (~(cell89 = cell68))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1767, 1766])).
% 1.04/1.15 tff(1769,plain,
% 1.04/1.15 ((cell89 = cell69) <=> (cell69 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1770,plain,
% 1.04/1.15 ((cell69 = cell89) <=> (cell89 = cell69)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1769])).
% 1.04/1.15 tff(1771,plain,
% 1.04/1.15 ((~(cell69 = cell89)) <=> (~(cell89 = cell69))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1770])).
% 1.04/1.15 tff(1772,plain,
% 1.04/1.15 ((~(cell69 = cell89)) <=> (~(cell69 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1773,axiom,(~(cell69 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47293')).
% 1.04/1.15 tff(1774,plain,
% 1.04/1.15 (~(cell69 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 1.04/1.15 tff(1775,plain,
% 1.04/1.15 (~(cell89 = cell69)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1774, 1771])).
% 1.04/1.15 tff(1776,plain,
% 1.04/1.15 (((~(X!1 = cell68)) | (~(cell89 = cell69))) | (cell89 = cell69)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1777,plain,
% 1.04/1.15 ((~(X!1 = cell68)) | (~(cell89 = cell69))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1776, 1775])).
% 1.04/1.15 tff(1778,plain,
% 1.04/1.15 ((cell89 = cell70) <=> (cell70 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1779,plain,
% 1.04/1.15 ((cell70 = cell89) <=> (cell89 = cell70)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1778])).
% 1.04/1.15 tff(1780,plain,
% 1.04/1.15 ((~(cell70 = cell89)) <=> (~(cell89 = cell70))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1779])).
% 1.04/1.15 tff(1781,plain,
% 1.04/1.15 ((~(cell70 = cell89)) <=> (~(cell70 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1782,axiom,(~(cell70 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47220')).
% 1.04/1.15 tff(1783,plain,
% 1.04/1.15 (~(cell70 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 1.04/1.15 tff(1784,plain,
% 1.04/1.15 (~(cell89 = cell70)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1783, 1780])).
% 1.04/1.15 tff(1785,plain,
% 1.04/1.15 (((~(X!1 = cell69)) | (~(cell89 = cell70))) | (cell89 = cell70)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1786,plain,
% 1.04/1.15 ((~(X!1 = cell69)) | (~(cell89 = cell70))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1785, 1784])).
% 1.04/1.15 tff(1787,plain,
% 1.04/1.15 ((cell89 = cell72) <=> (cell72 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1788,plain,
% 1.04/1.15 ((cell72 = cell89) <=> (cell89 = cell72)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1787])).
% 1.04/1.15 tff(1789,plain,
% 1.04/1.15 ((~(cell72 = cell89)) <=> (~(cell89 = cell72))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1788])).
% 1.04/1.15 tff(1790,plain,
% 1.04/1.15 ((~(cell72 = cell89)) <=> (~(cell72 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1791,axiom,(~(cell72 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47146')).
% 1.04/1.15 tff(1792,plain,
% 1.04/1.15 (~(cell72 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 1.04/1.15 tff(1793,plain,
% 1.04/1.15 (~(cell89 = cell72)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1792, 1789])).
% 1.04/1.15 tff(1794,plain,
% 1.04/1.15 (((~(X!1 = cell71)) | (~(cell89 = cell72))) | (cell89 = cell72)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1795,plain,
% 1.04/1.15 ((~(X!1 = cell71)) | (~(cell89 = cell72))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1794, 1793])).
% 1.04/1.15 tff(1796,plain,
% 1.04/1.15 ((cell89 = cell73) <=> (cell73 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1797,plain,
% 1.04/1.15 ((cell73 = cell89) <=> (cell89 = cell73)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1796])).
% 1.04/1.15 tff(1798,plain,
% 1.04/1.15 ((~(cell73 = cell89)) <=> (~(cell89 = cell73))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1797])).
% 1.04/1.15 tff(1799,plain,
% 1.04/1.15 ((~(cell73 = cell89)) <=> (~(cell73 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1800,axiom,(~(cell73 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46995')).
% 1.04/1.15 tff(1801,plain,
% 1.04/1.15 (~(cell73 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1800, 1799])).
% 1.04/1.15 tff(1802,plain,
% 1.04/1.15 (~(cell89 = cell73)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1801, 1798])).
% 1.04/1.15 tff(1803,plain,
% 1.04/1.15 (((~(X!1 = cell72)) | (~(cell89 = cell73))) | (cell89 = cell73)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1804,plain,
% 1.04/1.15 ((~(X!1 = cell72)) | (~(cell89 = cell73))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1803, 1802])).
% 1.04/1.15 tff(1805,plain,
% 1.04/1.15 ((cell89 = cell74) <=> (cell74 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1806,plain,
% 1.04/1.15 ((cell74 = cell89) <=> (cell89 = cell74)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1805])).
% 1.04/1.15 tff(1807,plain,
% 1.04/1.15 ((~(cell74 = cell89)) <=> (~(cell89 = cell74))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1806])).
% 1.04/1.15 tff(1808,plain,
% 1.04/1.15 ((~(cell74 = cell89)) <=> (~(cell74 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1809,axiom,(~(cell74 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46918')).
% 1.04/1.15 tff(1810,plain,
% 1.04/1.15 (~(cell74 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 1.04/1.15 tff(1811,plain,
% 1.04/1.15 (~(cell89 = cell74)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1810, 1807])).
% 1.04/1.15 tff(1812,plain,
% 1.04/1.15 (((~(X!1 = cell73)) | (~(cell89 = cell74))) | (cell89 = cell74)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1813,plain,
% 1.04/1.15 ((~(X!1 = cell73)) | (~(cell89 = cell74))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1812, 1811])).
% 1.04/1.15 tff(1814,plain,
% 1.04/1.15 ((cell89 = cell75) <=> (cell75 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1815,plain,
% 1.04/1.15 ((cell75 = cell89) <=> (cell89 = cell75)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1814])).
% 1.04/1.15 tff(1816,plain,
% 1.04/1.15 ((~(cell75 = cell89)) <=> (~(cell89 = cell75))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1815])).
% 1.04/1.15 tff(1817,plain,
% 1.04/1.15 ((~(cell75 = cell89)) <=> (~(cell75 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1818,axiom,(~(cell75 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46840')).
% 1.04/1.15 tff(1819,plain,
% 1.04/1.15 (~(cell75 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 1.04/1.15 tff(1820,plain,
% 1.04/1.15 (~(cell89 = cell75)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1819, 1816])).
% 1.04/1.15 tff(1821,plain,
% 1.04/1.15 (((~(X!1 = cell74)) | (~(cell89 = cell75))) | (cell89 = cell75)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1822,plain,
% 1.04/1.15 ((~(X!1 = cell74)) | (~(cell89 = cell75))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1821, 1820])).
% 1.04/1.15 tff(1823,plain,
% 1.04/1.15 ((cell89 = cell76) <=> (cell76 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1824,plain,
% 1.04/1.15 ((cell76 = cell89) <=> (cell89 = cell76)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1823])).
% 1.04/1.15 tff(1825,plain,
% 1.04/1.15 ((~(cell76 = cell89)) <=> (~(cell89 = cell76))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1824])).
% 1.04/1.15 tff(1826,plain,
% 1.04/1.15 ((~(cell76 = cell89)) <=> (~(cell76 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1827,axiom,(~(cell76 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46761')).
% 1.04/1.15 tff(1828,plain,
% 1.04/1.15 (~(cell76 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1827, 1826])).
% 1.04/1.15 tff(1829,plain,
% 1.04/1.15 (~(cell89 = cell76)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1828, 1825])).
% 1.04/1.15 tff(1830,plain,
% 1.04/1.15 (((~(X!1 = cell75)) | (~(cell89 = cell76))) | (cell89 = cell76)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1831,plain,
% 1.04/1.15 ((~(X!1 = cell75)) | (~(cell89 = cell76))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1830, 1829])).
% 1.04/1.15 tff(1832,plain,
% 1.04/1.15 ((cell89 = cell77) <=> (cell77 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1833,plain,
% 1.04/1.15 ((cell77 = cell89) <=> (cell89 = cell77)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1832])).
% 1.04/1.15 tff(1834,plain,
% 1.04/1.15 ((~(cell77 = cell89)) <=> (~(cell89 = cell77))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1833])).
% 1.04/1.15 tff(1835,plain,
% 1.04/1.15 ((~(cell77 = cell89)) <=> (~(cell77 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1836,axiom,(~(cell77 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46681')).
% 1.04/1.15 tff(1837,plain,
% 1.04/1.15 (~(cell77 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1836, 1835])).
% 1.04/1.15 tff(1838,plain,
% 1.04/1.15 (~(cell89 = cell77)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1837, 1834])).
% 1.04/1.15 tff(1839,plain,
% 1.04/1.15 (((~(X!1 = cell76)) | (~(cell89 = cell77))) | (cell89 = cell77)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1840,plain,
% 1.04/1.15 ((~(X!1 = cell76)) | (~(cell89 = cell77))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1839, 1838])).
% 1.04/1.15 tff(1841,plain,
% 1.04/1.15 ((cell89 = cell78) <=> (cell78 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1842,plain,
% 1.04/1.15 ((cell78 = cell89) <=> (cell89 = cell78)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1841])).
% 1.04/1.15 tff(1843,plain,
% 1.04/1.15 ((~(cell78 = cell89)) <=> (~(cell89 = cell78))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1842])).
% 1.04/1.15 tff(1844,plain,
% 1.04/1.15 ((~(cell78 = cell89)) <=> (~(cell78 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1845,axiom,(~(cell78 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46600')).
% 1.04/1.15 tff(1846,plain,
% 1.04/1.15 (~(cell78 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 1.04/1.15 tff(1847,plain,
% 1.04/1.15 (~(cell89 = cell78)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1846, 1843])).
% 1.04/1.15 tff(1848,plain,
% 1.04/1.15 (((~(X!1 = cell77)) | (~(cell89 = cell78))) | (cell89 = cell78)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1849,plain,
% 1.04/1.15 ((~(X!1 = cell77)) | (~(cell89 = cell78))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1848, 1847])).
% 1.04/1.15 tff(1850,plain,
% 1.04/1.15 ((cell89 = cell80) <=> (cell80 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1851,plain,
% 1.04/1.15 ((cell80 = cell89) <=> (cell89 = cell80)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1850])).
% 1.04/1.15 tff(1852,plain,
% 1.04/1.15 ((~(cell80 = cell89)) <=> (~(cell89 = cell80))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1851])).
% 1.04/1.15 tff(1853,plain,
% 1.04/1.15 ((~(cell80 = cell89)) <=> (~(cell80 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1854,axiom,(~(cell80 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46518')).
% 1.04/1.15 tff(1855,plain,
% 1.04/1.15 (~(cell80 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1854, 1853])).
% 1.04/1.15 tff(1856,plain,
% 1.04/1.15 (~(cell89 = cell80)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1855, 1852])).
% 1.04/1.15 tff(1857,plain,
% 1.04/1.15 (((~(X!1 = cell79)) | (~(cell89 = cell80))) | (cell89 = cell80)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1858,plain,
% 1.04/1.15 ((~(X!1 = cell79)) | (~(cell89 = cell80))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1857, 1856])).
% 1.04/1.15 tff(1859,plain,
% 1.04/1.15 ((cell89 = cell82) <=> (cell82 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1860,plain,
% 1.04/1.15 ((cell82 = cell89) <=> (cell89 = cell82)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1859])).
% 1.04/1.15 tff(1861,plain,
% 1.04/1.15 ((~(cell82 = cell89)) <=> (~(cell89 = cell82))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1860])).
% 1.04/1.15 tff(1862,plain,
% 1.04/1.15 ((~(cell82 = cell89)) <=> (~(cell82 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1863,axiom,(~(cell82 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46435')).
% 1.04/1.15 tff(1864,plain,
% 1.04/1.15 (~(cell82 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 1.04/1.15 tff(1865,plain,
% 1.04/1.15 (~(cell89 = cell82)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1864, 1861])).
% 1.04/1.15 tff(1866,plain,
% 1.04/1.15 (((~(X!1 = cell81)) | (~(cell89 = cell82))) | (cell89 = cell82)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1867,plain,
% 1.04/1.15 ((~(X!1 = cell81)) | (~(cell89 = cell82))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1866, 1865])).
% 1.04/1.15 tff(1868,plain,
% 1.04/1.15 ((cell89 = cell83) <=> (cell83 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1869,plain,
% 1.04/1.15 ((cell83 = cell89) <=> (cell89 = cell83)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1868])).
% 1.04/1.15 tff(1870,plain,
% 1.04/1.15 ((~(cell83 = cell89)) <=> (~(cell89 = cell83))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1869])).
% 1.04/1.15 tff(1871,plain,
% 1.04/1.15 ((~(cell83 = cell89)) <=> (~(cell83 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1872,axiom,(~(cell83 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46266')).
% 1.04/1.15 tff(1873,plain,
% 1.04/1.15 (~(cell83 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 1.04/1.15 tff(1874,plain,
% 1.04/1.15 (~(cell89 = cell83)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1873, 1870])).
% 1.04/1.15 tff(1875,plain,
% 1.04/1.15 (((~(X!1 = cell82)) | (~(cell89 = cell83))) | (cell89 = cell83)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1876,plain,
% 1.04/1.15 ((~(X!1 = cell82)) | (~(cell89 = cell83))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1875, 1874])).
% 1.04/1.15 tff(1877,plain,
% 1.04/1.15 ((cell89 = cell84) <=> (cell84 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1878,plain,
% 1.04/1.15 ((cell84 = cell89) <=> (cell89 = cell84)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1877])).
% 1.04/1.15 tff(1879,plain,
% 1.04/1.15 ((~(cell84 = cell89)) <=> (~(cell89 = cell84))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1878])).
% 1.04/1.15 tff(1880,plain,
% 1.04/1.15 ((~(cell84 = cell89)) <=> (~(cell84 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1881,axiom,(~(cell84 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46180')).
% 1.04/1.15 tff(1882,plain,
% 1.04/1.15 (~(cell84 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 1.04/1.15 tff(1883,plain,
% 1.04/1.15 (~(cell89 = cell84)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1882, 1879])).
% 1.04/1.15 tff(1884,plain,
% 1.04/1.15 (((~(X!1 = cell83)) | (~(cell89 = cell84))) | (cell89 = cell84)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1885,plain,
% 1.04/1.15 ((~(X!1 = cell83)) | (~(cell89 = cell84))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1884, 1883])).
% 1.04/1.15 tff(1886,plain,
% 1.04/1.15 ((cell89 = cell85) <=> (cell85 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1887,plain,
% 1.04/1.15 ((cell85 = cell89) <=> (cell89 = cell85)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1886])).
% 1.04/1.15 tff(1888,plain,
% 1.04/1.15 ((~(cell85 = cell89)) <=> (~(cell89 = cell85))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1887])).
% 1.04/1.15 tff(1889,plain,
% 1.04/1.15 ((~(cell85 = cell89)) <=> (~(cell85 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1890,axiom,(~(cell85 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46093')).
% 1.04/1.15 tff(1891,plain,
% 1.04/1.15 (~(cell85 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 1.04/1.15 tff(1892,plain,
% 1.04/1.15 (~(cell89 = cell85)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1891, 1888])).
% 1.04/1.15 tff(1893,plain,
% 1.04/1.15 (((~(X!1 = cell84)) | (~(cell89 = cell85))) | (cell89 = cell85)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1894,plain,
% 1.04/1.15 ((~(X!1 = cell84)) | (~(cell89 = cell85))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1893, 1892])).
% 1.04/1.15 tff(1895,plain,
% 1.04/1.15 ((cell89 = cell86) <=> (cell86 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1896,plain,
% 1.04/1.15 ((cell86 = cell89) <=> (cell89 = cell86)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1895])).
% 1.04/1.15 tff(1897,plain,
% 1.04/1.15 ((~(cell86 = cell89)) <=> (~(cell89 = cell86))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1896])).
% 1.04/1.15 tff(1898,plain,
% 1.04/1.15 ((~(cell86 = cell89)) <=> (~(cell86 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1899,axiom,(~(cell86 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46005')).
% 1.04/1.15 tff(1900,plain,
% 1.04/1.15 (~(cell86 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1899, 1898])).
% 1.04/1.15 tff(1901,plain,
% 1.04/1.15 (~(cell89 = cell86)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1900, 1897])).
% 1.04/1.15 tff(1902,plain,
% 1.04/1.15 (((~(X!1 = cell85)) | (~(cell89 = cell86))) | (cell89 = cell86)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1903,plain,
% 1.04/1.15 ((~(X!1 = cell85)) | (~(cell89 = cell86))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1902, 1901])).
% 1.04/1.15 tff(1904,plain,
% 1.04/1.15 ((cell89 = cell87) <=> (cell87 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1905,plain,
% 1.04/1.15 ((cell87 = cell89) <=> (cell89 = cell87)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1904])).
% 1.04/1.15 tff(1906,plain,
% 1.04/1.15 ((~(cell87 = cell89)) <=> (~(cell89 = cell87))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1905])).
% 1.04/1.15 tff(1907,plain,
% 1.04/1.15 ((~(cell87 = cell89)) <=> (~(cell87 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1908,axiom,(~(cell87 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45916')).
% 1.04/1.15 tff(1909,plain,
% 1.04/1.15 (~(cell87 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1908, 1907])).
% 1.04/1.15 tff(1910,plain,
% 1.04/1.15 (~(cell89 = cell87)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1909, 1906])).
% 1.04/1.15 tff(1911,plain,
% 1.04/1.15 (((~(X!1 = cell86)) | (~(cell89 = cell87))) | (cell89 = cell87)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1912,plain,
% 1.04/1.15 ((~(X!1 = cell86)) | (~(cell89 = cell87))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1911, 1910])).
% 1.04/1.15 tff(1913,plain,
% 1.04/1.15 ((cell89 = cell92) <=> (cell92 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1914,plain,
% 1.04/1.15 ((cell92 = cell89) <=> (cell89 = cell92)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1913])).
% 1.04/1.15 tff(1915,plain,
% 1.04/1.15 ((~(cell92 = cell89)) <=> (~(cell89 = cell92))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1914])).
% 1.04/1.15 tff(1916,plain,
% 1.04/1.15 ((~(cell92 = cell89)) <=> (~(cell92 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1917,axiom,(~(cell92 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45826')).
% 1.04/1.15 tff(1918,plain,
% 1.04/1.15 (~(cell92 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 1.04/1.15 tff(1919,plain,
% 1.04/1.15 (~(cell89 = cell92)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1918, 1915])).
% 1.04/1.15 tff(1920,plain,
% 1.04/1.15 (((~(X!1 = cell91)) | (~(cell89 = cell92))) | (cell89 = cell92)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1921,plain,
% 1.04/1.15 ((~(X!1 = cell91)) | (~(cell89 = cell92))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1920, 1919])).
% 1.04/1.15 tff(1922,plain,
% 1.04/1.15 ((cell89 = cell93) <=> (cell93 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1923,plain,
% 1.04/1.15 ((cell93 = cell89) <=> (cell89 = cell93)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1922])).
% 1.04/1.15 tff(1924,plain,
% 1.04/1.15 ((~(cell93 = cell89)) <=> (~(cell89 = cell93))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1923])).
% 1.04/1.15 tff(1925,plain,
% 1.04/1.15 ((~(cell93 = cell89)) <=> (~(cell93 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1926,axiom,(~(cell93 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45643')).
% 1.04/1.15 tff(1927,plain,
% 1.04/1.15 (~(cell93 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 1.04/1.15 tff(1928,plain,
% 1.04/1.15 (~(cell89 = cell93)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1927, 1924])).
% 1.04/1.15 tff(1929,plain,
% 1.04/1.15 (((~(X!1 = cell92)) | (~(cell89 = cell93))) | (cell89 = cell93)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1930,plain,
% 1.04/1.15 ((~(X!1 = cell92)) | (~(cell89 = cell93))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1929, 1928])).
% 1.04/1.15 tff(1931,plain,
% 1.04/1.15 ((cell89 = cell94) <=> (cell94 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1932,plain,
% 1.04/1.15 ((cell94 = cell89) <=> (cell89 = cell94)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1931])).
% 1.04/1.15 tff(1933,plain,
% 1.04/1.15 ((~(cell94 = cell89)) <=> (~(cell89 = cell94))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1932])).
% 1.04/1.15 tff(1934,plain,
% 1.04/1.15 ((~(cell94 = cell89)) <=> (~(cell94 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1935,axiom,(~(cell94 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45550')).
% 1.04/1.15 tff(1936,plain,
% 1.04/1.15 (~(cell94 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 1.04/1.15 tff(1937,plain,
% 1.04/1.15 (~(cell89 = cell94)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1936, 1933])).
% 1.04/1.15 tff(1938,plain,
% 1.04/1.15 (((~(X!1 = cell93)) | (~(cell89 = cell94))) | (cell89 = cell94)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1939,plain,
% 1.04/1.15 ((~(X!1 = cell93)) | (~(cell89 = cell94))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1938, 1937])).
% 1.04/1.15 tff(1940,plain,
% 1.04/1.15 ((cell89 = cell95) <=> (cell95 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1941,plain,
% 1.04/1.15 ((cell95 = cell89) <=> (cell89 = cell95)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1940])).
% 1.04/1.15 tff(1942,plain,
% 1.04/1.15 ((~(cell95 = cell89)) <=> (~(cell89 = cell95))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1941])).
% 1.04/1.15 tff(1943,plain,
% 1.04/1.15 ((~(cell95 = cell89)) <=> (~(cell95 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1944,axiom,(~(cell95 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45456')).
% 1.04/1.15 tff(1945,plain,
% 1.04/1.15 (~(cell95 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 1.04/1.15 tff(1946,plain,
% 1.04/1.15 (~(cell89 = cell95)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1945, 1942])).
% 1.04/1.15 tff(1947,plain,
% 1.04/1.15 (((~(X!1 = cell94)) | (~(cell89 = cell95))) | (cell89 = cell95)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1948,plain,
% 1.04/1.15 ((~(X!1 = cell94)) | (~(cell89 = cell95))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1947, 1946])).
% 1.04/1.15 tff(1949,plain,
% 1.04/1.15 ((cell89 = cell96) <=> (cell96 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1950,plain,
% 1.04/1.15 ((cell96 = cell89) <=> (cell89 = cell96)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1949])).
% 1.04/1.15 tff(1951,plain,
% 1.04/1.15 ((~(cell96 = cell89)) <=> (~(cell89 = cell96))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1950])).
% 1.04/1.15 tff(1952,plain,
% 1.04/1.15 ((~(cell96 = cell89)) <=> (~(cell96 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1953,axiom,(~(cell96 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45361')).
% 1.04/1.15 tff(1954,plain,
% 1.04/1.15 (~(cell96 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 1.04/1.15 tff(1955,plain,
% 1.04/1.15 (~(cell89 = cell96)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1954, 1951])).
% 1.04/1.15 tff(1956,plain,
% 1.04/1.15 (((~(X!1 = cell95)) | (~(cell89 = cell96))) | (cell89 = cell96)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1957,plain,
% 1.04/1.15 ((~(X!1 = cell95)) | (~(cell89 = cell96))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1956, 1955])).
% 1.04/1.15 tff(1958,plain,
% 1.04/1.15 ((cell89 = cell97) <=> (cell97 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1959,plain,
% 1.04/1.15 ((cell97 = cell89) <=> (cell89 = cell97)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1958])).
% 1.04/1.15 tff(1960,plain,
% 1.04/1.15 ((~(cell97 = cell89)) <=> (~(cell89 = cell97))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1959])).
% 1.04/1.15 tff(1961,plain,
% 1.04/1.15 ((~(cell97 = cell89)) <=> (~(cell97 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1962,axiom,(~(cell97 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45265')).
% 1.04/1.15 tff(1963,plain,
% 1.04/1.15 (~(cell97 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1962, 1961])).
% 1.04/1.15 tff(1964,plain,
% 1.04/1.15 (~(cell89 = cell97)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1963, 1960])).
% 1.04/1.15 tff(1965,plain,
% 1.04/1.15 (((~(X!1 = cell96)) | (~(cell89 = cell97))) | (cell89 = cell97)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1966,plain,
% 1.04/1.15 ((~(X!1 = cell96)) | (~(cell89 = cell97))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1965, 1964])).
% 1.04/1.15 tff(1967,plain,
% 1.04/1.15 ((cell89 = cell98) <=> (cell98 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1968,plain,
% 1.04/1.15 ((cell98 = cell89) <=> (cell89 = cell98)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1967])).
% 1.04/1.15 tff(1969,plain,
% 1.04/1.15 ((~(cell98 = cell89)) <=> (~(cell89 = cell98))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1968])).
% 1.04/1.15 tff(1970,plain,
% 1.04/1.15 ((~(cell98 = cell89)) <=> (~(cell98 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1971,axiom,(~(cell98 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45168')).
% 1.04/1.15 tff(1972,plain,
% 1.04/1.15 (~(cell98 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 1.04/1.15 tff(1973,plain,
% 1.04/1.15 (~(cell89 = cell98)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1972, 1969])).
% 1.04/1.15 tff(1974,plain,
% 1.04/1.15 (((~(X!1 = cell97)) | (~(cell89 = cell98))) | (cell89 = cell98)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1975,plain,
% 1.04/1.15 ((~(X!1 = cell97)) | (~(cell89 = cell98))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1974, 1973])).
% 1.04/1.15 tff(1976,plain,
% 1.04/1.15 (((~(X!1 = cell99)) | (~(cell89 = cell100))) | (cell89 = cell100)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1977,plain,
% 1.04/1.15 ((~(X!1 = cell99)) | (~(cell89 = cell100))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1976, 1253])).
% 1.04/1.15 tff(1978,plain,
% 1.04/1.15 (((~(X!1 = cell4)) | (~(cell89 = cell14))) | (cell89 = cell14)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1979,plain,
% 1.04/1.15 ((~(X!1 = cell4)) | (~(cell89 = cell14))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1978, 1334])).
% 1.04/1.15 tff(1980,plain,
% 1.04/1.15 (((~(X!1 = cell5)) | (~(cell89 = cell15))) | (cell89 = cell15)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1981,plain,
% 1.04/1.15 ((~(X!1 = cell5)) | (~(cell89 = cell15))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1980, 1343])).
% 1.04/1.15 tff(1982,plain,
% 1.04/1.15 (((~(X!1 = cell6)) | (~(cell89 = cell16))) | (cell89 = cell16)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1983,plain,
% 1.04/1.15 ((~(X!1 = cell6)) | (~(cell89 = cell16))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1982, 1352])).
% 1.04/1.15 tff(1984,plain,
% 1.04/1.15 (((~(X!1 = cell7)) | (~(cell89 = cell17))) | (cell89 = cell17)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1985,plain,
% 1.04/1.15 ((~(X!1 = cell7)) | (~(cell89 = cell17))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1984, 1361])).
% 1.04/1.15 tff(1986,plain,
% 1.04/1.15 (((~(X!1 = cell8)) | (~(cell89 = cell18))) | (cell89 = cell18)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1987,plain,
% 1.04/1.15 ((~(X!1 = cell8)) | (~(cell89 = cell18))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1986, 1370])).
% 1.04/1.15 tff(1988,plain,
% 1.04/1.15 (((~(X!1 = cell9)) | (~(cell89 = cell19))) | (cell89 = cell19)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1989,plain,
% 1.04/1.15 ((~(X!1 = cell9)) | (~(cell89 = cell19))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1988, 1379])).
% 1.04/1.15 tff(1990,plain,
% 1.04/1.15 (((~(X!1 = cell10)) | (~(cell89 = cell20))) | (cell89 = cell20)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(1991,plain,
% 1.04/1.15 ((~(X!1 = cell10)) | (~(cell89 = cell20))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1990, 1388])).
% 1.04/1.15 tff(1992,plain,
% 1.04/1.15 ((cell89 = cell21) <=> (cell21 = cell89)),
% 1.04/1.15 inference(commutativity,[status(thm)],[])).
% 1.04/1.15 tff(1993,plain,
% 1.04/1.15 ((cell21 = cell89) <=> (cell89 = cell21)),
% 1.04/1.15 inference(symmetry,[status(thm)],[1992])).
% 1.04/1.15 tff(1994,plain,
% 1.04/1.15 ((~(cell21 = cell89)) <=> (~(cell89 = cell21))),
% 1.04/1.15 inference(monotonicity,[status(thm)],[1993])).
% 1.04/1.15 tff(1995,plain,
% 1.04/1.15 ((~(cell21 = cell89)) <=> (~(cell21 = cell89))),
% 1.04/1.15 inference(rewrite,[status(thm)],[])).
% 1.04/1.15 tff(1996,axiom,(~(cell21 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49596')).
% 1.04/1.15 tff(1997,plain,
% 1.04/1.15 (~(cell21 = cell89)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 1.04/1.15 tff(1998,plain,
% 1.04/1.15 (~(cell89 = cell21)),
% 1.04/1.15 inference(modus_ponens,[status(thm)],[1997, 1994])).
% 1.04/1.15 tff(1999,plain,
% 1.04/1.15 (((~(X!1 = cell11)) | (~(cell89 = cell21))) | (cell89 = cell21)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(2000,plain,
% 1.04/1.15 ((~(X!1 = cell11)) | (~(cell89 = cell21))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[1999, 1998])).
% 1.04/1.15 tff(2001,plain,
% 1.04/1.15 (((~(X!1 = cell13)) | (~(cell89 = cell23))) | (cell89 = cell23)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(2002,plain,
% 1.04/1.15 ((~(X!1 = cell13)) | (~(cell89 = cell23))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[2001, 1397])).
% 1.04/1.15 tff(2003,plain,
% 1.04/1.15 (((~(X!1 = cell14)) | (~(cell89 = cell24))) | (cell89 = cell24)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(2004,plain,
% 1.04/1.15 ((~(X!1 = cell14)) | (~(cell89 = cell24))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[2003, 1406])).
% 1.04/1.15 tff(2005,plain,
% 1.04/1.15 (((~(X!1 = cell15)) | (~(cell89 = cell25))) | (cell89 = cell25)),
% 1.04/1.15 inference(tautology,[status(thm)],[])).
% 1.04/1.15 tff(2006,plain,
% 1.04/1.15 ((~(X!1 = cell15)) | (~(cell89 = cell25))),
% 1.04/1.15 inference(unit_resolution,[status(thm)],[2005, 1415])).
% 1.04/1.15 tff(2007,plain,
% 1.04/1.15 (((~(X!1 = cell16)) | (~(cell89 = cell26))) | (cell89 = cell26)),
% 1.04/1.16 inference(tautology,[status(thm)],[])).
% 1.04/1.16 tff(2008,plain,
% 1.04/1.16 ((~(X!1 = cell16)) | (~(cell89 = cell26))),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[2007, 1424])).
% 1.04/1.16 tff(2009,plain,
% 1.04/1.16 (((~(X!1 = cell17)) | (~(cell89 = cell27))) | (cell89 = cell27)),
% 1.04/1.16 inference(tautology,[status(thm)],[])).
% 1.04/1.16 tff(2010,plain,
% 1.04/1.16 ((~(X!1 = cell17)) | (~(cell89 = cell27))),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[2009, 1433])).
% 1.04/1.16 tff(2011,plain,
% 1.04/1.16 (((~(X!1 = cell18)) | (~(cell89 = cell28))) | (cell89 = cell28)),
% 1.04/1.16 inference(tautology,[status(thm)],[])).
% 1.04/1.16 tff(2012,plain,
% 1.04/1.16 ((~(X!1 = cell18)) | (~(cell89 = cell28))),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[2011, 1442])).
% 1.04/1.16 tff(2013,plain,
% 1.04/1.16 (((~(X!1 = cell19)) | (~(cell89 = cell29))) | (cell89 = cell29)),
% 1.04/1.16 inference(tautology,[status(thm)],[])).
% 1.04/1.16 tff(2014,plain,
% 1.04/1.16 ((~(X!1 = cell19)) | (~(cell89 = cell29))),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[2013, 1451])).
% 1.04/1.16 tff(2015,plain,
% 1.04/1.16 (((~(X!1 = cell20)) | (~(cell89 = cell30))) | (cell89 = cell30)),
% 1.04/1.16 inference(tautology,[status(thm)],[])).
% 1.04/1.16 tff(2016,plain,
% 1.04/1.16 ((~(X!1 = cell20)) | (~(cell89 = cell30))),
% 1.04/1.16 inference(unit_resolution,[status(thm)],[2015, 1460])).
% 1.04/1.16 tff(2017,plain,
% 1.04/1.16 ((cell89 = cell31) <=> (cell31 = cell89)),
% 1.04/1.16 inference(commutativity,[status(thm)],[])).
% 1.04/1.16 tff(2018,plain,
% 1.04/1.16 ((cell31 = cell89) <=> (cell89 = cell31)),
% 1.04/1.16 inference(symmetry,[status(thm)],[2017])).
% 1.04/1.16 tff(2019,plain,
% 1.04/1.16 ((~(cell31 = cell89)) <=> (~(cell89 = cell31))),
% 1.04/1.16 inference(monotonicity,[status(thm)],[2018])).
% 1.04/1.16 tff(2020,plain,
% 1.04/1.16 ((~(cell31 = cell89)) <=> (~(cell31 = cell89))),
% 1.04/1.16 inference(rewrite,[status(thm)],[])).
% 1.04/1.16 tff(2021,axiom,(~(cell31 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49291')).
% 1.04/1.16 tff(2022,plain,
% 1.04/1.16 (~(cell31 = cell89)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[2021, 2020])).
% 1.04/1.16 tff(2023,plain,
% 1.04/1.16 (~(cell89 = cell31)),
% 1.04/1.16 inference(modus_ponens,[status(thm)],[2022, 2019])).
% 1.04/1.16 tff(2024,plain,
% 1.04/1.16 (((~(X!1 = cell21)) | (~(cell89 = cell31))) | (cell89 = cell31)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2025,plain,
% 1.12/1.16 ((~(X!1 = cell21)) | (~(cell89 = cell31))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2024, 2023])).
% 1.12/1.16 tff(2026,plain,
% 1.12/1.16 (((~(X!1 = cell22)) | (~(cell89 = cell32))) | (cell89 = cell32)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2027,plain,
% 1.12/1.16 ((~(X!1 = cell22)) | (~(cell89 = cell32))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2026, 1469])).
% 1.12/1.16 tff(2028,plain,
% 1.12/1.16 (((~(X!1 = cell23)) | (~(cell89 = cell33))) | (cell89 = cell33)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2029,plain,
% 1.12/1.16 ((~(X!1 = cell23)) | (~(cell89 = cell33))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2028, 1478])).
% 1.12/1.16 tff(2030,plain,
% 1.12/1.16 (((~(X!1 = cell24)) | (~(cell89 = cell34))) | (cell89 = cell34)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2031,plain,
% 1.12/1.16 ((~(X!1 = cell24)) | (~(cell89 = cell34))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2030, 1487])).
% 1.12/1.16 tff(2032,plain,
% 1.12/1.16 (((~(X!1 = cell25)) | (~(cell89 = cell35))) | (cell89 = cell35)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2033,plain,
% 1.12/1.16 ((~(X!1 = cell25)) | (~(cell89 = cell35))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2032, 1496])).
% 1.12/1.16 tff(2034,plain,
% 1.12/1.16 (((~(X!1 = cell26)) | (~(cell89 = cell36))) | (cell89 = cell36)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2035,plain,
% 1.12/1.16 ((~(X!1 = cell26)) | (~(cell89 = cell36))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2034, 1505])).
% 1.12/1.16 tff(2036,plain,
% 1.12/1.16 (((~(X!1 = cell27)) | (~(cell89 = cell37))) | (cell89 = cell37)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2037,plain,
% 1.12/1.16 ((~(X!1 = cell27)) | (~(cell89 = cell37))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2036, 1514])).
% 1.12/1.16 tff(2038,plain,
% 1.12/1.16 (((~(X!1 = cell28)) | (~(cell89 = cell38))) | (cell89 = cell38)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2039,plain,
% 1.12/1.16 ((~(X!1 = cell28)) | (~(cell89 = cell38))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2038, 1523])).
% 1.12/1.16 tff(2040,plain,
% 1.12/1.16 (((~(X!1 = cell29)) | (~(cell89 = cell39))) | (cell89 = cell39)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2041,plain,
% 1.12/1.16 ((~(X!1 = cell29)) | (~(cell89 = cell39))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2040, 1532])).
% 1.12/1.16 tff(2042,plain,
% 1.12/1.16 (((~(X!1 = cell30)) | (~(cell89 = cell40))) | (cell89 = cell40)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2043,plain,
% 1.12/1.16 ((~(X!1 = cell30)) | (~(cell89 = cell40))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2042, 1541])).
% 1.12/1.16 tff(2044,plain,
% 1.12/1.16 ((cell89 = cell41) <=> (cell41 = cell89)),
% 1.12/1.16 inference(commutativity,[status(thm)],[])).
% 1.12/1.16 tff(2045,plain,
% 1.12/1.16 ((cell41 = cell89) <=> (cell89 = cell41)),
% 1.12/1.16 inference(symmetry,[status(thm)],[2044])).
% 1.12/1.16 tff(2046,plain,
% 1.12/1.16 ((~(cell41 = cell89)) <=> (~(cell89 = cell41))),
% 1.12/1.16 inference(monotonicity,[status(thm)],[2045])).
% 1.12/1.16 tff(2047,plain,
% 1.12/1.16 ((~(cell41 = cell89)) <=> (~(cell41 = cell89))),
% 1.12/1.16 inference(rewrite,[status(thm)],[])).
% 1.12/1.16 tff(2048,axiom,(~(cell41 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48886')).
% 1.12/1.16 tff(2049,plain,
% 1.12/1.16 (~(cell41 = cell89)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 1.12/1.16 tff(2050,plain,
% 1.12/1.16 (~(cell89 = cell41)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2049, 2046])).
% 1.12/1.16 tff(2051,plain,
% 1.12/1.16 (((~(X!1 = cell31)) | (~(cell89 = cell41))) | (cell89 = cell41)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2052,plain,
% 1.12/1.16 ((~(X!1 = cell31)) | (~(cell89 = cell41))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2051, 2050])).
% 1.12/1.16 tff(2053,plain,
% 1.12/1.16 (((~(X!1 = cell32)) | (~(cell89 = cell42))) | (cell89 = cell42)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2054,plain,
% 1.12/1.16 ((~(X!1 = cell32)) | (~(cell89 = cell42))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2053, 1550])).
% 1.12/1.16 tff(2055,plain,
% 1.12/1.16 (((~(X!1 = cell33)) | (~(cell89 = cell43))) | (cell89 = cell43)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2056,plain,
% 1.12/1.16 ((~(X!1 = cell33)) | (~(cell89 = cell43))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2055, 1559])).
% 1.12/1.16 tff(2057,plain,
% 1.12/1.16 (((~(X!1 = cell34)) | (~(cell89 = cell44))) | (cell89 = cell44)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2058,plain,
% 1.12/1.16 ((~(X!1 = cell34)) | (~(cell89 = cell44))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2057, 1568])).
% 1.12/1.16 tff(2059,plain,
% 1.12/1.16 (((~(X!1 = cell35)) | (~(cell89 = cell45))) | (cell89 = cell45)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2060,plain,
% 1.12/1.16 ((~(X!1 = cell35)) | (~(cell89 = cell45))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2059, 1577])).
% 1.12/1.16 tff(2061,plain,
% 1.12/1.16 (((~(X!1 = cell36)) | (~(cell89 = cell46))) | (cell89 = cell46)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2062,plain,
% 1.12/1.16 ((~(X!1 = cell36)) | (~(cell89 = cell46))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2061, 1586])).
% 1.12/1.16 tff(2063,plain,
% 1.12/1.16 (((~(X!1 = cell37)) | (~(cell89 = cell47))) | (cell89 = cell47)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2064,plain,
% 1.12/1.16 ((~(X!1 = cell37)) | (~(cell89 = cell47))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2063, 1595])).
% 1.12/1.16 tff(2065,plain,
% 1.12/1.16 (((~(X!1 = cell38)) | (~(cell89 = cell48))) | (cell89 = cell48)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2066,plain,
% 1.12/1.16 ((~(X!1 = cell38)) | (~(cell89 = cell48))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2065, 1604])).
% 1.12/1.16 tff(2067,plain,
% 1.12/1.16 (((~(X!1 = cell39)) | (~(cell89 = cell49))) | (cell89 = cell49)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2068,plain,
% 1.12/1.16 ((~(X!1 = cell39)) | (~(cell89 = cell49))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2067, 1613])).
% 1.12/1.16 tff(2069,plain,
% 1.12/1.16 (((~(X!1 = cell40)) | (~(cell89 = cell50))) | (cell89 = cell50)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2070,plain,
% 1.12/1.16 ((~(X!1 = cell40)) | (~(cell89 = cell50))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2069, 1622])).
% 1.12/1.16 tff(2071,plain,
% 1.12/1.16 ((cell89 = cell51) <=> (cell51 = cell89)),
% 1.12/1.16 inference(commutativity,[status(thm)],[])).
% 1.12/1.16 tff(2072,plain,
% 1.12/1.16 ((cell51 = cell89) <=> (cell89 = cell51)),
% 1.12/1.16 inference(symmetry,[status(thm)],[2071])).
% 1.12/1.16 tff(2073,plain,
% 1.12/1.16 ((~(cell51 = cell89)) <=> (~(cell89 = cell51))),
% 1.12/1.16 inference(monotonicity,[status(thm)],[2072])).
% 1.12/1.16 tff(2074,plain,
% 1.12/1.16 ((~(cell51 = cell89)) <=> (~(cell51 = cell89))),
% 1.12/1.16 inference(rewrite,[status(thm)],[])).
% 1.12/1.16 tff(2075,axiom,(~(cell51 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48381')).
% 1.12/1.16 tff(2076,plain,
% 1.12/1.16 (~(cell51 = cell89)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2075, 2074])).
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% 1.12/1.16 (~(cell89 = cell51)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2076, 2073])).
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% 1.12/1.16 (((~(X!1 = cell41)) | (~(cell89 = cell51))) | (cell89 = cell51)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 ((~(X!1 = cell41)) | (~(cell89 = cell51))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2078, 2077])).
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% 1.12/1.16 (((~(X!1 = cell42)) | (~(cell89 = cell52))) | (cell89 = cell52)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 ((~(X!1 = cell42)) | (~(cell89 = cell52))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2080, 1631])).
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% 1.12/1.16 (((~(X!1 = cell43)) | (~(cell89 = cell53))) | (cell89 = cell53)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2083,plain,
% 1.12/1.16 ((~(X!1 = cell43)) | (~(cell89 = cell53))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2082, 1640])).
% 1.12/1.16 tff(2084,plain,
% 1.12/1.16 (((~(X!1 = cell44)) | (~(cell89 = cell54))) | (cell89 = cell54)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2085,plain,
% 1.12/1.16 ((~(X!1 = cell44)) | (~(cell89 = cell54))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2084, 1649])).
% 1.12/1.16 tff(2086,plain,
% 1.12/1.16 (((~(X!1 = cell45)) | (~(cell89 = cell55))) | (cell89 = cell55)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2087,plain,
% 1.12/1.16 ((~(X!1 = cell45)) | (~(cell89 = cell55))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2086, 1658])).
% 1.12/1.16 tff(2088,plain,
% 1.12/1.16 (((~(X!1 = cell46)) | (~(cell89 = cell56))) | (cell89 = cell56)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2089,plain,
% 1.12/1.16 ((~(X!1 = cell46)) | (~(cell89 = cell56))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2088, 1667])).
% 1.12/1.16 tff(2090,plain,
% 1.12/1.16 (((~(X!1 = cell47)) | (~(cell89 = cell57))) | (cell89 = cell57)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2091,plain,
% 1.12/1.16 ((~(X!1 = cell47)) | (~(cell89 = cell57))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2090, 1676])).
% 1.12/1.16 tff(2092,plain,
% 1.12/1.16 (((~(X!1 = cell48)) | (~(cell89 = cell58))) | (cell89 = cell58)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2093,plain,
% 1.12/1.16 ((~(X!1 = cell48)) | (~(cell89 = cell58))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2092, 1685])).
% 1.12/1.16 tff(2094,plain,
% 1.12/1.16 (((~(X!1 = cell49)) | (~(cell89 = cell59))) | (cell89 = cell59)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2095,plain,
% 1.12/1.16 ((~(X!1 = cell49)) | (~(cell89 = cell59))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2094, 1694])).
% 1.12/1.16 tff(2096,plain,
% 1.12/1.16 (((~(X!1 = cell50)) | (~(cell89 = cell60))) | (cell89 = cell60)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2097,plain,
% 1.12/1.16 ((~(X!1 = cell50)) | (~(cell89 = cell60))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2096, 1703])).
% 1.12/1.16 tff(2098,plain,
% 1.12/1.16 ((cell89 = cell61) <=> (cell61 = cell89)),
% 1.12/1.16 inference(commutativity,[status(thm)],[])).
% 1.12/1.16 tff(2099,plain,
% 1.12/1.16 ((cell61 = cell89) <=> (cell89 = cell61)),
% 1.12/1.16 inference(symmetry,[status(thm)],[2098])).
% 1.12/1.16 tff(2100,plain,
% 1.12/1.16 ((~(cell61 = cell89)) <=> (~(cell89 = cell61))),
% 1.12/1.16 inference(monotonicity,[status(thm)],[2099])).
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% 1.12/1.16 ((~(cell61 = cell89)) <=> (~(cell61 = cell89))),
% 1.12/1.16 inference(rewrite,[status(thm)],[])).
% 1.12/1.16 tff(2102,axiom,(~(cell61 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47776')).
% 1.12/1.16 tff(2103,plain,
% 1.12/1.16 (~(cell61 = cell89)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 1.12/1.16 tff(2104,plain,
% 1.12/1.16 (~(cell89 = cell61)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2103, 2100])).
% 1.12/1.16 tff(2105,plain,
% 1.12/1.16 (((~(X!1 = cell51)) | (~(cell89 = cell61))) | (cell89 = cell61)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2106,plain,
% 1.12/1.16 ((~(X!1 = cell51)) | (~(cell89 = cell61))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2105, 2104])).
% 1.12/1.16 tff(2107,plain,
% 1.12/1.16 (((~(X!1 = cell52)) | (~(cell89 = cell62))) | (cell89 = cell62)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2108,plain,
% 1.12/1.16 ((~(X!1 = cell52)) | (~(cell89 = cell62))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2107, 1712])).
% 1.12/1.16 tff(2109,plain,
% 1.12/1.16 (((~(X!1 = cell53)) | (~(cell89 = cell63))) | (cell89 = cell63)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2110,plain,
% 1.12/1.16 ((~(X!1 = cell53)) | (~(cell89 = cell63))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2109, 1721])).
% 1.12/1.16 tff(2111,plain,
% 1.12/1.16 (((~(X!1 = cell54)) | (~(cell89 = cell64))) | (cell89 = cell64)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2112,plain,
% 1.12/1.16 ((~(X!1 = cell54)) | (~(cell89 = cell64))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2111, 1730])).
% 1.12/1.16 tff(2113,plain,
% 1.12/1.16 (((~(X!1 = cell55)) | (~(cell89 = cell65))) | (cell89 = cell65)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2114,plain,
% 1.12/1.16 ((~(X!1 = cell55)) | (~(cell89 = cell65))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2113, 1739])).
% 1.12/1.16 tff(2115,plain,
% 1.12/1.16 (((~(X!1 = cell56)) | (~(cell89 = cell66))) | (cell89 = cell66)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2116,plain,
% 1.12/1.16 ((~(X!1 = cell56)) | (~(cell89 = cell66))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2115, 1748])).
% 1.12/1.16 tff(2117,plain,
% 1.12/1.16 (((~(X!1 = cell57)) | (~(cell89 = cell67))) | (cell89 = cell67)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2118,plain,
% 1.12/1.16 ((~(X!1 = cell57)) | (~(cell89 = cell67))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2117, 1757])).
% 1.12/1.16 tff(2119,plain,
% 1.12/1.16 (((~(X!1 = cell58)) | (~(cell89 = cell68))) | (cell89 = cell68)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2120,plain,
% 1.12/1.16 ((~(X!1 = cell58)) | (~(cell89 = cell68))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2119, 1766])).
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% 1.12/1.16 (((~(X!1 = cell59)) | (~(cell89 = cell69))) | (cell89 = cell69)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2122,plain,
% 1.12/1.16 ((~(X!1 = cell59)) | (~(cell89 = cell69))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2121, 1775])).
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% 1.12/1.16 (((~(X!1 = cell60)) | (~(cell89 = cell70))) | (cell89 = cell70)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 ((~(X!1 = cell60)) | (~(cell89 = cell70))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2123, 1784])).
% 1.12/1.16 tff(2125,plain,
% 1.12/1.16 ((cell89 = cell71) <=> (cell71 = cell89)),
% 1.12/1.16 inference(commutativity,[status(thm)],[])).
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% 1.12/1.16 ((cell71 = cell89) <=> (cell89 = cell71)),
% 1.12/1.16 inference(symmetry,[status(thm)],[2125])).
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% 1.12/1.16 ((~(cell71 = cell89)) <=> (~(cell89 = cell71))),
% 1.12/1.16 inference(monotonicity,[status(thm)],[2126])).
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% 1.12/1.16 ((~(cell71 = cell89)) <=> (~(cell71 = cell89))),
% 1.12/1.16 inference(rewrite,[status(thm)],[])).
% 1.12/1.16 tff(2129,axiom,(~(cell71 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47071')).
% 1.12/1.16 tff(2130,plain,
% 1.12/1.16 (~(cell71 = cell89)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 1.12/1.16 tff(2131,plain,
% 1.12/1.16 (~(cell89 = cell71)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2130, 2127])).
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% 1.12/1.16 (((~(X!1 = cell61)) | (~(cell89 = cell71))) | (cell89 = cell71)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2132, 2131])).
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% 1.12/1.16 (((~(X!1 = cell62)) | (~(cell89 = cell72))) | (cell89 = cell72)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2134, 1793])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2136, 1802])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2138, 1811])).
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% 1.12/1.16 ((~(X!1 = cell65)) | (~(cell89 = cell75))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2140, 1820])).
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% 1.12/1.16 (((~(X!1 = cell66)) | (~(cell89 = cell76))) | (cell89 = cell76)),
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2142, 1829])).
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% 1.12/1.16 (((~(X!1 = cell67)) | (~(cell89 = cell77))) | (cell89 = cell77)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2144, 1838])).
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% 1.12/1.16 (((~(X!1 = cell68)) | (~(cell89 = cell78))) | (cell89 = cell78)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2146, 1847])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2148, 1856])).
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% 1.12/1.16 ((cell89 = cell81) <=> (cell81 = cell89)),
% 1.12/1.16 inference(commutativity,[status(thm)],[])).
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% 1.12/1.16 inference(symmetry,[status(thm)],[2150])).
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% 1.12/1.16 ((~(cell81 = cell89)) <=> (~(cell89 = cell81))),
% 1.12/1.16 inference(monotonicity,[status(thm)],[2151])).
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% 1.12/1.16 ((~(cell81 = cell89)) <=> (~(cell81 = cell89))),
% 1.12/1.16 inference(rewrite,[status(thm)],[])).
% 1.12/1.16 tff(2154,axiom,(~(cell81 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46351')).
% 1.12/1.16 tff(2155,plain,
% 1.12/1.16 (~(cell81 = cell89)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 1.12/1.16 tff(2156,plain,
% 1.12/1.16 (~(cell89 = cell81)),
% 1.12/1.16 inference(modus_ponens,[status(thm)],[2155, 2152])).
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% 1.12/1.16 (((~(X!1 = cell71)) | (~(cell89 = cell81))) | (cell89 = cell81)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2157, 2156])).
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% 1.12/1.16 (((~(X!1 = cell72)) | (~(cell89 = cell82))) | (cell89 = cell82)),
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2159, 1865])).
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% 1.12/1.16 (((~(X!1 = cell73)) | (~(cell89 = cell83))) | (cell89 = cell83)),
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2161, 1874])).
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% 1.12/1.16 (((~(X!1 = cell74)) | (~(cell89 = cell84))) | (cell89 = cell84)),
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2163, 1883])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2165, 1892])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2167, 1901])).
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% 1.12/1.16 ((cell89 = cell91) <=> (cell91 = cell89)),
% 1.12/1.16 inference(commutativity,[status(thm)],[])).
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% 1.12/1.16 tff(2175,axiom,(~(cell91 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45735')).
% 1.12/1.16 tff(2176,plain,
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% 1.12/1.16 inference(modus_ponens,[status(thm)],[2175, 2174])).
% 1.12/1.16 tff(2177,plain,
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% 1.12/1.16 inference(modus_ponens,[status(thm)],[2176, 2173])).
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% 1.12/1.16 inference(tautology,[status(thm)],[])).
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% 1.12/1.16 inference(unit_resolution,[status(thm)],[2184, 1937])).
% 1.12/1.16 tff(2186,plain,
% 1.12/1.16 (((~(X!1 = cell85)) | (~(cell89 = cell95))) | (cell89 = cell95)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2187,plain,
% 1.12/1.16 ((~(X!1 = cell85)) | (~(cell89 = cell95))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2186, 1946])).
% 1.12/1.16 tff(2188,plain,
% 1.12/1.16 (((~(X!1 = cell86)) | (~(cell89 = cell96))) | (cell89 = cell96)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2189,plain,
% 1.12/1.16 ((~(X!1 = cell86)) | (~(cell89 = cell96))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2188, 1955])).
% 1.12/1.16 tff(2190,plain,
% 1.12/1.16 (((~(X!1 = cell87)) | (~(cell89 = cell97))) | (cell89 = cell97)),
% 1.12/1.16 inference(tautology,[status(thm)],[])).
% 1.12/1.16 tff(2191,plain,
% 1.12/1.16 ((~(X!1 = cell87)) | (~(cell89 = cell97))),
% 1.12/1.16 inference(unit_resolution,[status(thm)],[2190, 1964])).
% 1.12/1.16 tff(2192,assumption,(Y!0 = cell89), introduced(assumption)).
% 1.12/1.16 tff(2193,plain,
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% 1.16/1.21 inference(monotonicity,[status(thm)],[2194])).
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% 1.16/1.23 inference(transitivity,[status(thm)],[2195, 2193])).
% 1.16/1.23 tff(2197,plain,
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% 1.20/1.24 inference(quant_inst,[status(thm)],[])).
% 1.20/1.24 tff(2198,plain,
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(~(cell89 = cell62)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell10)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell9)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell3)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell2))))))),
% 1.20/1.25 inference(modus_ponens,[status(thm)],[2197, 2196])).
% 1.20/1.25 tff(2199,plain,
% 1.20/1.25 (edge(X!1, cell89) <=> ((X!1 = cell88) | (X!1 = cell79) | (~((~(X!1 = cell90)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell88)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell81)))) | (~((~(X!1 = 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(~(cell89 = cell18)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell11)))) | (~((~(X!1 = cell99)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell98)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell97)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell96)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell95)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell94)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell93)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell92)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell91)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell84)) 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(~((~(X!1 = cell37)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell10)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell9)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell3)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell2)))))),
% 1.20/1.25 inference(unit_resolution,[status(thm)],[2198, 1208])).
% 1.20/1.25 tff(2200,plain,
% 1.20/1.25 (cell89 = Y!0),
% 1.20/1.25 inference(symmetry,[status(thm)],[2192])).
% 1.20/1.25 tff(2201,plain,
% 1.20/1.25 (edge(X!1, cell89) <=> edge(X!1, Y!0)),
% 1.20/1.25 inference(monotonicity,[status(thm)],[2200])).
% 1.20/1.25 tff(2202,plain,
% 1.20/1.25 (edge(X!1, Y!0) <=> edge(X!1, cell89)),
% 1.20/1.25 inference(symmetry,[status(thm)],[2201])).
% 1.20/1.25 tff(2203,assumption,(cell12 = X!1), introduced(assumption)).
% 1.20/1.25 tff(2204,plain,
% 1.20/1.25 (((~![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 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% 1.26/1.32 inference(transitivity,[status(thm)],[2206, 2204])).
% 1.26/1.32 tff(2208,plain,
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% 1.26/1.33 inference(quant_inst,[status(thm)],[])).
% 1.26/1.33 tff(2209,plain,
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% 1.26/1.33 inference(modus_ponens,[status(thm)],[2208, 2207])).
% 1.26/1.33 tff(2210,plain,
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% 1.26/1.34 inference(unit_resolution,[status(thm)],[2209, 1208])).
% 1.26/1.34 tff(2211,plain,
% 1.26/1.34 (edge(cell89, X!1) <=> edge(Y!0, X!1)),
% 1.26/1.34 inference(monotonicity,[status(thm)],[2200])).
% 1.26/1.34 tff(2212,plain,
% 1.26/1.34 (edge(Y!0, X!1) <=> edge(cell89, X!1)),
% 1.26/1.34 inference(symmetry,[status(thm)],[2211])).
% 1.26/1.34 tff(2213,assumption,(edge(Y!0, X!1)), introduced(assumption)).
% 1.26/1.34 tff(2214,plain,
% 1.26/1.34 (edge(cell89, X!1)),
% 1.26/1.34 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 1.26/1.34 tff(2215,plain,
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% 1.32/1.36 inference(symmetry,[status(thm)],[2297])).
% 1.32/1.36 tff(2299,plain,
% 1.32/1.36 ((~(cell99 = cell12)) <=> (~(X!1 = cell99))),
% 1.32/1.36 inference(monotonicity,[status(thm)],[2298])).
% 1.32/1.36 tff(2300,plain,
% 1.32/1.36 ((~(cell99 = cell12)) <=> (~(cell99 = cell12))),
% 1.32/1.36 inference(rewrite,[status(thm)],[])).
% 1.32/1.36 tff(2301,axiom,(~(cell99 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49916')).
% 1.32/1.36 tff(2302,plain,
% 1.32/1.36 (~(cell99 = cell12)),
% 1.32/1.36 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 1.32/1.36 tff(2303,plain,
% 1.32/1.36 (~(X!1 = cell99)),
% 1.32/1.36 inference(modus_ponens,[status(thm)],[2302, 2299])).
% 1.32/1.36 tff(2304,plain,
% 1.32/1.36 (((~(X!1 = cell99)) | (~(cell89 = cell98))) | (X!1 = cell99)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2305,plain,
% 1.32/1.36 ((~(X!1 = cell99)) | (~(cell89 = cell98))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2304, 2303])).
% 1.32/1.36 tff(2306,plain,
% 1.32/1.36 ((cell89 = cell1) <=> (cell1 = cell89)),
% 1.32/1.36 inference(commutativity,[status(thm)],[])).
% 1.32/1.36 tff(2307,plain,
% 1.32/1.36 ((cell1 = cell89) <=> (cell89 = cell1)),
% 1.32/1.36 inference(symmetry,[status(thm)],[2306])).
% 1.32/1.36 tff(2308,plain,
% 1.32/1.36 ((~(cell1 = cell89)) <=> (~(cell89 = cell1))),
% 1.32/1.36 inference(monotonicity,[status(thm)],[2307])).
% 1.32/1.36 tff(2309,plain,
% 1.32/1.36 ((~(cell1 = cell89)) <=> (~(cell1 = cell89))),
% 1.32/1.36 inference(rewrite,[status(thm)],[])).
% 1.32/1.36 tff(2310,axiom,(~(cell1 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49876')).
% 1.32/1.36 tff(2311,plain,
% 1.32/1.36 (~(cell1 = cell89)),
% 1.32/1.36 inference(modus_ponens,[status(thm)],[2310, 2309])).
% 1.32/1.36 tff(2312,plain,
% 1.32/1.36 (~(cell89 = cell1)),
% 1.32/1.36 inference(modus_ponens,[status(thm)],[2311, 2308])).
% 1.32/1.36 tff(2313,plain,
% 1.32/1.36 (((~(cell89 = cell1)) | (~(X!1 = cell2))) | (cell89 = cell1)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2314,plain,
% 1.32/1.36 ((~(cell89 = cell1)) | (~(X!1 = cell2))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2313, 2312])).
% 1.32/1.36 tff(2315,plain,
% 1.32/1.36 (((~(cell89 = cell3)) | (~(X!1 = cell4))) | (cell89 = cell3)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2316,plain,
% 1.32/1.36 ((~(cell89 = cell3)) | (~(X!1 = cell4))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2315, 1262])).
% 1.32/1.36 tff(2317,plain,
% 1.32/1.36 (((~(cell89 = cell4)) | (~(X!1 = cell5))) | (cell89 = cell4)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2318,plain,
% 1.32/1.36 ((~(cell89 = cell4)) | (~(X!1 = cell5))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2317, 1271])).
% 1.32/1.36 tff(2319,plain,
% 1.32/1.36 (((~(cell89 = cell5)) | (~(X!1 = cell6))) | (cell89 = cell5)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2320,plain,
% 1.32/1.36 ((~(cell89 = cell5)) | (~(X!1 = cell6))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2319, 1280])).
% 1.32/1.36 tff(2321,plain,
% 1.32/1.36 (((~(cell89 = cell6)) | (~(X!1 = cell7))) | (cell89 = cell6)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2322,plain,
% 1.32/1.36 ((~(cell89 = cell6)) | (~(X!1 = cell7))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2321, 1289])).
% 1.32/1.36 tff(2323,plain,
% 1.32/1.36 (((~(cell89 = cell7)) | (~(X!1 = cell8))) | (cell89 = cell7)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2324,plain,
% 1.32/1.36 ((~(cell89 = cell7)) | (~(X!1 = cell8))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2323, 1298])).
% 1.32/1.36 tff(2325,plain,
% 1.32/1.36 (((~(cell89 = cell8)) | (~(X!1 = cell9))) | (cell89 = cell8)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2326,plain,
% 1.32/1.36 ((~(cell89 = cell8)) | (~(X!1 = cell9))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2325, 1307])).
% 1.32/1.36 tff(2327,plain,
% 1.32/1.36 (((~(cell89 = cell9)) | (~(X!1 = cell10))) | (cell89 = cell9)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2328,plain,
% 1.32/1.36 ((~(cell89 = cell9)) | (~(X!1 = cell10))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2327, 1316])).
% 1.32/1.36 tff(2329,plain,
% 1.32/1.36 (((~(cell89 = cell14)) | (~(X!1 = cell15))) | (cell89 = cell14)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2330,plain,
% 1.32/1.36 ((~(cell89 = cell14)) | (~(X!1 = cell15))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2329, 1334])).
% 1.32/1.36 tff(2331,plain,
% 1.32/1.36 (((~(cell89 = cell15)) | (~(X!1 = cell16))) | (cell89 = cell15)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2332,plain,
% 1.32/1.36 ((~(cell89 = cell15)) | (~(X!1 = cell16))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2331, 1343])).
% 1.32/1.36 tff(2333,plain,
% 1.32/1.36 (((~(cell89 = cell16)) | (~(X!1 = cell17))) | (cell89 = cell16)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2334,plain,
% 1.32/1.36 ((~(cell89 = cell16)) | (~(X!1 = cell17))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2333, 1352])).
% 1.32/1.36 tff(2335,plain,
% 1.32/1.36 (((~(cell89 = cell17)) | (~(X!1 = cell18))) | (cell89 = cell17)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2336,plain,
% 1.32/1.36 ((~(cell89 = cell17)) | (~(X!1 = cell18))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2335, 1361])).
% 1.32/1.36 tff(2337,plain,
% 1.32/1.36 (((~(cell89 = cell18)) | (~(X!1 = cell19))) | (cell89 = cell18)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2338,plain,
% 1.32/1.36 ((~(cell89 = cell18)) | (~(X!1 = cell19))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2337, 1370])).
% 1.32/1.36 tff(2339,plain,
% 1.32/1.36 (((~(cell89 = cell19)) | (~(X!1 = cell20))) | (cell89 = cell19)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2340,plain,
% 1.32/1.36 ((~(cell89 = cell19)) | (~(X!1 = cell20))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2339, 1379])).
% 1.32/1.36 tff(2341,plain,
% 1.32/1.36 (((~(cell89 = cell21)) | (~(X!1 = cell22))) | (cell89 = cell21)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2342,plain,
% 1.32/1.36 ((~(cell89 = cell21)) | (~(X!1 = cell22))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2341, 1998])).
% 1.32/1.36 tff(2343,plain,
% 1.32/1.36 (((~(cell89 = cell23)) | (~(X!1 = cell24))) | (cell89 = cell23)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2344,plain,
% 1.32/1.36 ((~(cell89 = cell23)) | (~(X!1 = cell24))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2343, 1397])).
% 1.32/1.36 tff(2345,plain,
% 1.32/1.36 (((~(cell89 = cell24)) | (~(X!1 = cell25))) | (cell89 = cell24)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2346,plain,
% 1.32/1.36 ((~(cell89 = cell24)) | (~(X!1 = cell25))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2345, 1406])).
% 1.32/1.36 tff(2347,plain,
% 1.32/1.36 (((~(cell89 = cell25)) | (~(X!1 = cell26))) | (cell89 = cell25)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2348,plain,
% 1.32/1.36 ((~(cell89 = cell25)) | (~(X!1 = cell26))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2347, 1415])).
% 1.32/1.36 tff(2349,plain,
% 1.32/1.36 (((~(cell89 = cell26)) | (~(X!1 = cell27))) | (cell89 = cell26)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2350,plain,
% 1.32/1.36 ((~(cell89 = cell26)) | (~(X!1 = cell27))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2349, 1424])).
% 1.32/1.36 tff(2351,plain,
% 1.32/1.36 (((~(cell89 = cell27)) | (~(X!1 = cell28))) | (cell89 = cell27)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2352,plain,
% 1.32/1.36 ((~(cell89 = cell27)) | (~(X!1 = cell28))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2351, 1433])).
% 1.32/1.36 tff(2353,plain,
% 1.32/1.36 (((~(cell89 = cell28)) | (~(X!1 = cell29))) | (cell89 = cell28)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2354,plain,
% 1.32/1.36 ((~(cell89 = cell28)) | (~(X!1 = cell29))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2353, 1442])).
% 1.32/1.36 tff(2355,plain,
% 1.32/1.36 (((~(cell89 = cell29)) | (~(X!1 = cell30))) | (cell89 = cell29)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2356,plain,
% 1.32/1.36 ((~(cell89 = cell29)) | (~(X!1 = cell30))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2355, 1451])).
% 1.32/1.36 tff(2357,plain,
% 1.32/1.36 (((~(cell89 = cell31)) | (~(X!1 = cell32))) | (cell89 = cell31)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2358,plain,
% 1.32/1.36 ((~(cell89 = cell31)) | (~(X!1 = cell32))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2357, 2023])).
% 1.32/1.36 tff(2359,plain,
% 1.32/1.36 (((~(cell89 = cell32)) | (~(X!1 = cell33))) | (cell89 = cell32)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2360,plain,
% 1.32/1.36 ((~(cell89 = cell32)) | (~(X!1 = cell33))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2359, 1469])).
% 1.32/1.36 tff(2361,plain,
% 1.32/1.36 (((~(cell89 = cell33)) | (~(X!1 = cell34))) | (cell89 = cell33)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2362,plain,
% 1.32/1.36 ((~(cell89 = cell33)) | (~(X!1 = cell34))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2361, 1478])).
% 1.32/1.36 tff(2363,plain,
% 1.32/1.36 (((~(cell89 = cell34)) | (~(X!1 = cell35))) | (cell89 = cell34)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2364,plain,
% 1.32/1.36 ((~(cell89 = cell34)) | (~(X!1 = cell35))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2363, 1487])).
% 1.32/1.36 tff(2365,plain,
% 1.32/1.36 (((~(cell89 = cell35)) | (~(X!1 = cell36))) | (cell89 = cell35)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2366,plain,
% 1.32/1.36 ((~(cell89 = cell35)) | (~(X!1 = cell36))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2365, 1496])).
% 1.32/1.36 tff(2367,plain,
% 1.32/1.36 (((~(cell89 = cell36)) | (~(X!1 = cell37))) | (cell89 = cell36)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2368,plain,
% 1.32/1.36 ((~(cell89 = cell36)) | (~(X!1 = cell37))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2367, 1505])).
% 1.32/1.36 tff(2369,plain,
% 1.32/1.36 (((~(cell89 = cell37)) | (~(X!1 = cell38))) | (cell89 = cell37)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2370,plain,
% 1.32/1.36 ((~(cell89 = cell37)) | (~(X!1 = cell38))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2369, 1514])).
% 1.32/1.36 tff(2371,plain,
% 1.32/1.36 (((~(cell89 = cell38)) | (~(X!1 = cell39))) | (cell89 = cell38)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2372,plain,
% 1.32/1.36 ((~(cell89 = cell38)) | (~(X!1 = cell39))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2371, 1523])).
% 1.32/1.36 tff(2373,plain,
% 1.32/1.36 (((~(cell89 = cell39)) | (~(X!1 = cell40))) | (cell89 = cell39)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2374,plain,
% 1.32/1.36 ((~(cell89 = cell39)) | (~(X!1 = cell40))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2373, 1532])).
% 1.32/1.36 tff(2375,plain,
% 1.32/1.36 (((~(cell89 = cell41)) | (~(X!1 = cell42))) | (cell89 = cell41)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2376,plain,
% 1.32/1.36 ((~(cell89 = cell41)) | (~(X!1 = cell42))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2375, 2050])).
% 1.32/1.36 tff(2377,plain,
% 1.32/1.36 (((~(cell89 = cell42)) | (~(X!1 = cell43))) | (cell89 = cell42)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2378,plain,
% 1.32/1.36 ((~(cell89 = cell42)) | (~(X!1 = cell43))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2377, 1550])).
% 1.32/1.36 tff(2379,plain,
% 1.32/1.36 (((~(cell89 = cell43)) | (~(X!1 = cell44))) | (cell89 = cell43)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2380,plain,
% 1.32/1.36 ((~(cell89 = cell43)) | (~(X!1 = cell44))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2379, 1559])).
% 1.32/1.36 tff(2381,plain,
% 1.32/1.36 (((~(cell89 = cell44)) | (~(X!1 = cell45))) | (cell89 = cell44)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2382,plain,
% 1.32/1.36 ((~(cell89 = cell44)) | (~(X!1 = cell45))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2381, 1568])).
% 1.32/1.36 tff(2383,plain,
% 1.32/1.36 (((~(cell89 = cell45)) | (~(X!1 = cell46))) | (cell89 = cell45)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2384,plain,
% 1.32/1.36 ((~(cell89 = cell45)) | (~(X!1 = cell46))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2383, 1577])).
% 1.32/1.36 tff(2385,plain,
% 1.32/1.36 (((~(cell89 = cell46)) | (~(X!1 = cell47))) | (cell89 = cell46)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2386,plain,
% 1.32/1.36 ((~(cell89 = cell46)) | (~(X!1 = cell47))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2385, 1586])).
% 1.32/1.36 tff(2387,plain,
% 1.32/1.36 (((~(cell89 = cell47)) | (~(X!1 = cell48))) | (cell89 = cell47)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2388,plain,
% 1.32/1.36 ((~(cell89 = cell47)) | (~(X!1 = cell48))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2387, 1595])).
% 1.32/1.36 tff(2389,plain,
% 1.32/1.36 (((~(cell89 = cell48)) | (~(X!1 = cell49))) | (cell89 = cell48)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2390,plain,
% 1.32/1.36 ((~(cell89 = cell48)) | (~(X!1 = cell49))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2389, 1604])).
% 1.32/1.36 tff(2391,plain,
% 1.32/1.36 (((~(cell89 = cell49)) | (~(X!1 = cell50))) | (cell89 = cell49)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2392,plain,
% 1.32/1.36 ((~(cell89 = cell49)) | (~(X!1 = cell50))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2391, 1613])).
% 1.32/1.36 tff(2393,plain,
% 1.32/1.36 (((~(cell89 = cell51)) | (~(X!1 = cell52))) | (cell89 = cell51)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2394,plain,
% 1.32/1.36 ((~(cell89 = cell51)) | (~(X!1 = cell52))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2393, 2077])).
% 1.32/1.36 tff(2395,plain,
% 1.32/1.36 (((~(cell89 = cell52)) | (~(X!1 = cell53))) | (cell89 = cell52)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2396,plain,
% 1.32/1.36 ((~(cell89 = cell52)) | (~(X!1 = cell53))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2395, 1631])).
% 1.32/1.36 tff(2397,plain,
% 1.32/1.36 (((~(cell89 = cell53)) | (~(X!1 = cell54))) | (cell89 = cell53)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2398,plain,
% 1.32/1.36 ((~(cell89 = cell53)) | (~(X!1 = cell54))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2397, 1640])).
% 1.32/1.36 tff(2399,plain,
% 1.32/1.36 (((~(cell89 = cell54)) | (~(X!1 = cell55))) | (cell89 = cell54)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2400,plain,
% 1.32/1.36 ((~(cell89 = cell54)) | (~(X!1 = cell55))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2399, 1649])).
% 1.32/1.36 tff(2401,plain,
% 1.32/1.36 (((~(cell89 = cell55)) | (~(X!1 = cell56))) | (cell89 = cell55)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2402,plain,
% 1.32/1.36 ((~(cell89 = cell55)) | (~(X!1 = cell56))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2401, 1658])).
% 1.32/1.36 tff(2403,plain,
% 1.32/1.36 (((~(cell89 = cell56)) | (~(X!1 = cell57))) | (cell89 = cell56)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2404,plain,
% 1.32/1.36 ((~(cell89 = cell56)) | (~(X!1 = cell57))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2403, 1667])).
% 1.32/1.36 tff(2405,plain,
% 1.32/1.36 (((~(cell89 = cell57)) | (~(X!1 = cell58))) | (cell89 = cell57)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2406,plain,
% 1.32/1.36 ((~(cell89 = cell57)) | (~(X!1 = cell58))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2405, 1676])).
% 1.32/1.36 tff(2407,plain,
% 1.32/1.36 (((~(cell89 = cell58)) | (~(X!1 = cell59))) | (cell89 = cell58)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2408,plain,
% 1.32/1.36 ((~(cell89 = cell58)) | (~(X!1 = cell59))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2407, 1685])).
% 1.32/1.36 tff(2409,plain,
% 1.32/1.36 (((~(cell89 = cell59)) | (~(X!1 = cell60))) | (cell89 = cell59)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2410,plain,
% 1.32/1.36 ((~(cell89 = cell59)) | (~(X!1 = cell60))),
% 1.32/1.36 inference(unit_resolution,[status(thm)],[2409, 1694])).
% 1.32/1.36 tff(2411,plain,
% 1.32/1.36 (((~(cell89 = cell61)) | (~(X!1 = cell62))) | (cell89 = cell61)),
% 1.32/1.36 inference(tautology,[status(thm)],[])).
% 1.32/1.36 tff(2412,plain,
% 1.32/1.36 ((~(cell89 = cell61)) | (~(X!1 = cell62))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2411, 2104])).
% 1.32/1.37 tff(2413,plain,
% 1.32/1.37 (((~(cell89 = cell62)) | (~(X!1 = cell63))) | (cell89 = cell62)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2414,plain,
% 1.32/1.37 ((~(cell89 = cell62)) | (~(X!1 = cell63))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2413, 1712])).
% 1.32/1.37 tff(2415,plain,
% 1.32/1.37 (((~(cell89 = cell63)) | (~(X!1 = cell64))) | (cell89 = cell63)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2416,plain,
% 1.32/1.37 ((~(cell89 = cell63)) | (~(X!1 = cell64))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2415, 1721])).
% 1.32/1.37 tff(2417,plain,
% 1.32/1.37 (((~(cell89 = cell64)) | (~(X!1 = cell65))) | (cell89 = cell64)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2418,plain,
% 1.32/1.37 ((~(cell89 = cell64)) | (~(X!1 = cell65))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2417, 1730])).
% 1.32/1.37 tff(2419,plain,
% 1.32/1.37 (((~(cell89 = cell65)) | (~(X!1 = cell66))) | (cell89 = cell65)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2420,plain,
% 1.32/1.37 ((~(cell89 = cell65)) | (~(X!1 = cell66))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2419, 1739])).
% 1.32/1.37 tff(2421,plain,
% 1.32/1.37 (((~(cell89 = cell66)) | (~(X!1 = cell67))) | (cell89 = cell66)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2422,plain,
% 1.32/1.37 ((~(cell89 = cell66)) | (~(X!1 = cell67))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2421, 1748])).
% 1.32/1.37 tff(2423,plain,
% 1.32/1.37 (((~(cell89 = cell67)) | (~(X!1 = cell68))) | (cell89 = cell67)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2424,plain,
% 1.32/1.37 ((~(cell89 = cell67)) | (~(X!1 = cell68))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2423, 1757])).
% 1.32/1.37 tff(2425,plain,
% 1.32/1.37 (((~(cell89 = cell68)) | (~(X!1 = cell69))) | (cell89 = cell68)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2426,plain,
% 1.32/1.37 ((~(cell89 = cell68)) | (~(X!1 = cell69))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2425, 1766])).
% 1.32/1.37 tff(2427,plain,
% 1.32/1.37 (((~(cell89 = cell69)) | (~(X!1 = cell70))) | (cell89 = cell69)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2428,plain,
% 1.32/1.37 ((~(cell89 = cell69)) | (~(X!1 = cell70))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2427, 1775])).
% 1.32/1.37 tff(2429,plain,
% 1.32/1.37 (((~(cell89 = cell71)) | (~(X!1 = cell72))) | (cell89 = cell71)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2430,plain,
% 1.32/1.37 ((~(cell89 = cell71)) | (~(X!1 = cell72))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2429, 2131])).
% 1.32/1.37 tff(2431,plain,
% 1.32/1.37 (((~(cell89 = cell72)) | (~(X!1 = cell73))) | (cell89 = cell72)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2432,plain,
% 1.32/1.37 ((~(cell89 = cell72)) | (~(X!1 = cell73))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2431, 1793])).
% 1.32/1.37 tff(2433,plain,
% 1.32/1.37 (((~(cell89 = cell73)) | (~(X!1 = cell74))) | (cell89 = cell73)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2434,plain,
% 1.32/1.37 ((~(cell89 = cell73)) | (~(X!1 = cell74))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2433, 1802])).
% 1.32/1.37 tff(2435,plain,
% 1.32/1.37 (((~(cell89 = cell74)) | (~(X!1 = cell75))) | (cell89 = cell74)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2436,plain,
% 1.32/1.37 ((~(cell89 = cell74)) | (~(X!1 = cell75))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2435, 1811])).
% 1.32/1.37 tff(2437,plain,
% 1.32/1.37 (((~(cell89 = cell75)) | (~(X!1 = cell76))) | (cell89 = cell75)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2438,plain,
% 1.32/1.37 ((~(cell89 = cell75)) | (~(X!1 = cell76))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2437, 1820])).
% 1.32/1.37 tff(2439,plain,
% 1.32/1.37 (((~(cell89 = cell76)) | (~(X!1 = cell77))) | (cell89 = cell76)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2440,plain,
% 1.32/1.37 ((~(cell89 = cell76)) | (~(X!1 = cell77))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2439, 1829])).
% 1.32/1.37 tff(2441,plain,
% 1.32/1.37 (((~(cell89 = cell77)) | (~(X!1 = cell78))) | (cell89 = cell77)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2442,plain,
% 1.32/1.37 ((~(cell89 = cell77)) | (~(X!1 = cell78))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2441, 1838])).
% 1.32/1.37 tff(2443,plain,
% 1.32/1.37 (((~(cell89 = cell78)) | (~(X!1 = cell79))) | (cell89 = cell78)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2444,plain,
% 1.32/1.37 ((~(cell89 = cell78)) | (~(X!1 = cell79))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2443, 1847])).
% 1.32/1.37 tff(2445,plain,
% 1.32/1.37 (((~(cell89 = cell81)) | (~(X!1 = cell82))) | (cell89 = cell81)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2446,plain,
% 1.32/1.37 ((~(cell89 = cell81)) | (~(X!1 = cell82))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2445, 2156])).
% 1.32/1.37 tff(2447,plain,
% 1.32/1.37 (((~(cell89 = cell82)) | (~(X!1 = cell83))) | (cell89 = cell82)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2448,plain,
% 1.32/1.37 ((~(cell89 = cell82)) | (~(X!1 = cell83))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2447, 1865])).
% 1.32/1.37 tff(2449,plain,
% 1.32/1.37 (((~(cell89 = cell83)) | (~(X!1 = cell84))) | (cell89 = cell83)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2450,plain,
% 1.32/1.37 ((~(cell89 = cell83)) | (~(X!1 = cell84))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2449, 1874])).
% 1.32/1.37 tff(2451,plain,
% 1.32/1.37 (((~(cell89 = cell84)) | (~(X!1 = cell85))) | (cell89 = cell84)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2452,plain,
% 1.32/1.37 ((~(cell89 = cell84)) | (~(X!1 = cell85))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2451, 1883])).
% 1.32/1.37 tff(2453,plain,
% 1.32/1.37 (((~(cell89 = cell85)) | (~(X!1 = cell86))) | (cell89 = cell85)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2454,plain,
% 1.32/1.37 ((~(cell89 = cell85)) | (~(X!1 = cell86))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2453, 1892])).
% 1.32/1.37 tff(2455,plain,
% 1.32/1.37 (((~(cell89 = cell86)) | (~(X!1 = cell87))) | (cell89 = cell86)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2456,plain,
% 1.32/1.37 ((~(cell89 = cell86)) | (~(X!1 = cell87))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2455, 1901])).
% 1.32/1.37 tff(2457,plain,
% 1.32/1.37 (((~(cell89 = cell87)) | (~(X!1 = cell88))) | (cell89 = cell87)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2458,plain,
% 1.32/1.37 ((~(cell89 = cell87)) | (~(X!1 = cell88))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2457, 1910])).
% 1.32/1.37 tff(2459,plain,
% 1.32/1.37 (((~(cell89 = cell1)) | (~(X!1 = cell11))) | (cell89 = cell1)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2460,plain,
% 1.32/1.37 ((~(cell89 = cell1)) | (~(X!1 = cell11))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2459, 2312])).
% 1.32/1.37 tff(2461,plain,
% 1.32/1.37 (((~(cell89 = cell3)) | (~(X!1 = cell13))) | (cell89 = cell3)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2462,plain,
% 1.32/1.37 ((~(cell89 = cell3)) | (~(X!1 = cell13))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2461, 1262])).
% 1.32/1.37 tff(2463,plain,
% 1.32/1.37 (((~(cell89 = cell4)) | (~(X!1 = cell14))) | (cell89 = cell4)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2464,plain,
% 1.32/1.37 ((~(cell89 = cell4)) | (~(X!1 = cell14))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2463, 1271])).
% 1.32/1.37 tff(2465,plain,
% 1.32/1.37 (((~(cell89 = cell5)) | (~(X!1 = cell15))) | (cell89 = cell5)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2466,plain,
% 1.32/1.37 ((~(cell89 = cell5)) | (~(X!1 = cell15))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2465, 1280])).
% 1.32/1.37 tff(2467,plain,
% 1.32/1.37 (((~(cell89 = cell6)) | (~(X!1 = cell16))) | (cell89 = cell6)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2468,plain,
% 1.32/1.37 ((~(cell89 = cell6)) | (~(X!1 = cell16))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2467, 1289])).
% 1.32/1.37 tff(2469,plain,
% 1.32/1.37 (((~(cell89 = cell7)) | (~(X!1 = cell17))) | (cell89 = cell7)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2470,plain,
% 1.32/1.37 ((~(cell89 = cell7)) | (~(X!1 = cell17))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2469, 1298])).
% 1.32/1.37 tff(2471,plain,
% 1.32/1.37 (((~(cell89 = cell8)) | (~(X!1 = cell18))) | (cell89 = cell8)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2472,plain,
% 1.32/1.37 ((~(cell89 = cell8)) | (~(X!1 = cell18))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2471, 1307])).
% 1.32/1.37 tff(2473,plain,
% 1.32/1.37 (((~(cell89 = cell9)) | (~(X!1 = cell19))) | (cell89 = cell9)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2474,plain,
% 1.32/1.37 ((~(cell89 = cell9)) | (~(X!1 = cell19))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2473, 1316])).
% 1.32/1.37 tff(2475,plain,
% 1.32/1.37 (((~(cell89 = cell10)) | (~(X!1 = cell20))) | (cell89 = cell10)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2476,plain,
% 1.32/1.37 ((~(cell89 = cell10)) | (~(X!1 = cell20))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2475, 1325])).
% 1.32/1.37 tff(2477,plain,
% 1.32/1.37 (((~(cell89 = cell14)) | (~(X!1 = cell24))) | (cell89 = cell14)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2478,plain,
% 1.32/1.37 ((~(cell89 = cell14)) | (~(X!1 = cell24))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2477, 1334])).
% 1.32/1.37 tff(2479,plain,
% 1.32/1.37 (((~(cell89 = cell15)) | (~(X!1 = cell25))) | (cell89 = cell15)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2480,plain,
% 1.32/1.37 ((~(cell89 = cell15)) | (~(X!1 = cell25))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2479, 1343])).
% 1.32/1.37 tff(2481,plain,
% 1.32/1.37 (((~(cell89 = cell16)) | (~(X!1 = cell26))) | (cell89 = cell16)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2482,plain,
% 1.32/1.37 ((~(cell89 = cell16)) | (~(X!1 = cell26))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2481, 1352])).
% 1.32/1.37 tff(2483,plain,
% 1.32/1.37 (((~(cell89 = cell17)) | (~(X!1 = cell27))) | (cell89 = cell17)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2484,plain,
% 1.32/1.37 ((~(cell89 = cell17)) | (~(X!1 = cell27))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2483, 1361])).
% 1.32/1.37 tff(2485,plain,
% 1.32/1.37 (((~(cell89 = cell18)) | (~(X!1 = cell28))) | (cell89 = cell18)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2486,plain,
% 1.32/1.37 ((~(cell89 = cell18)) | (~(X!1 = cell28))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2485, 1370])).
% 1.32/1.37 tff(2487,plain,
% 1.32/1.37 (((~(cell89 = cell19)) | (~(X!1 = cell29))) | (cell89 = cell19)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2488,plain,
% 1.32/1.37 ((~(cell89 = cell19)) | (~(X!1 = cell29))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2487, 1379])).
% 1.32/1.37 tff(2489,plain,
% 1.32/1.37 (((~(cell89 = cell20)) | (~(X!1 = cell30))) | (cell89 = cell20)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2490,plain,
% 1.32/1.37 ((~(cell89 = cell20)) | (~(X!1 = cell30))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2489, 1388])).
% 1.32/1.37 tff(2491,plain,
% 1.32/1.37 (((~(cell89 = cell21)) | (~(X!1 = cell31))) | (cell89 = cell21)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2492,plain,
% 1.32/1.37 ((~(cell89 = cell21)) | (~(X!1 = cell31))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2491, 1998])).
% 1.32/1.37 tff(2493,plain,
% 1.32/1.37 (((~(cell89 = cell23)) | (~(X!1 = cell33))) | (cell89 = cell23)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2494,plain,
% 1.32/1.37 ((~(cell89 = cell23)) | (~(X!1 = cell33))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2493, 1397])).
% 1.32/1.37 tff(2495,plain,
% 1.32/1.37 (((~(cell89 = cell24)) | (~(X!1 = cell34))) | (cell89 = cell24)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2496,plain,
% 1.32/1.37 ((~(cell89 = cell24)) | (~(X!1 = cell34))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2495, 1406])).
% 1.32/1.37 tff(2497,plain,
% 1.32/1.37 (((~(cell89 = cell25)) | (~(X!1 = cell35))) | (cell89 = cell25)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2498,plain,
% 1.32/1.37 ((~(cell89 = cell25)) | (~(X!1 = cell35))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2497, 1415])).
% 1.32/1.37 tff(2499,plain,
% 1.32/1.37 (((~(cell89 = cell26)) | (~(X!1 = cell36))) | (cell89 = cell26)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2500,plain,
% 1.32/1.37 ((~(cell89 = cell26)) | (~(X!1 = cell36))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2499, 1424])).
% 1.32/1.37 tff(2501,plain,
% 1.32/1.37 (((~(cell89 = cell27)) | (~(X!1 = cell37))) | (cell89 = cell27)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2502,plain,
% 1.32/1.37 ((~(cell89 = cell27)) | (~(X!1 = cell37))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2501, 1433])).
% 1.32/1.37 tff(2503,plain,
% 1.32/1.37 (((~(cell89 = cell28)) | (~(X!1 = cell38))) | (cell89 = cell28)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2504,plain,
% 1.32/1.37 ((~(cell89 = cell28)) | (~(X!1 = cell38))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2503, 1442])).
% 1.32/1.37 tff(2505,plain,
% 1.32/1.37 (((~(cell89 = cell29)) | (~(X!1 = cell39))) | (cell89 = cell29)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2506,plain,
% 1.32/1.37 ((~(cell89 = cell29)) | (~(X!1 = cell39))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2505, 1451])).
% 1.32/1.37 tff(2507,plain,
% 1.32/1.37 (((~(cell89 = cell30)) | (~(X!1 = cell40))) | (cell89 = cell30)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2508,plain,
% 1.32/1.37 ((~(cell89 = cell30)) | (~(X!1 = cell40))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2507, 1460])).
% 1.32/1.37 tff(2509,plain,
% 1.32/1.37 (((~(cell89 = cell31)) | (~(X!1 = cell41))) | (cell89 = cell31)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2510,plain,
% 1.32/1.37 ((~(cell89 = cell31)) | (~(X!1 = cell41))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2509, 2023])).
% 1.32/1.37 tff(2511,plain,
% 1.32/1.37 (((~(cell89 = cell32)) | (~(X!1 = cell42))) | (cell89 = cell32)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2512,plain,
% 1.32/1.37 ((~(cell89 = cell32)) | (~(X!1 = cell42))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2511, 1469])).
% 1.32/1.37 tff(2513,plain,
% 1.32/1.37 (((~(cell89 = cell33)) | (~(X!1 = cell43))) | (cell89 = cell33)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2514,plain,
% 1.32/1.37 ((~(cell89 = cell33)) | (~(X!1 = cell43))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2513, 1478])).
% 1.32/1.37 tff(2515,plain,
% 1.32/1.37 (((~(cell89 = cell34)) | (~(X!1 = cell44))) | (cell89 = cell34)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2516,plain,
% 1.32/1.37 ((~(cell89 = cell34)) | (~(X!1 = cell44))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2515, 1487])).
% 1.32/1.37 tff(2517,plain,
% 1.32/1.37 (((~(cell89 = cell35)) | (~(X!1 = cell45))) | (cell89 = cell35)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2518,plain,
% 1.32/1.37 ((~(cell89 = cell35)) | (~(X!1 = cell45))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2517, 1496])).
% 1.32/1.37 tff(2519,plain,
% 1.32/1.37 (((~(cell89 = cell36)) | (~(X!1 = cell46))) | (cell89 = cell36)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2520,plain,
% 1.32/1.37 ((~(cell89 = cell36)) | (~(X!1 = cell46))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2519, 1505])).
% 1.32/1.37 tff(2521,plain,
% 1.32/1.37 (((~(cell89 = cell37)) | (~(X!1 = cell47))) | (cell89 = cell37)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2522,plain,
% 1.32/1.37 ((~(cell89 = cell37)) | (~(X!1 = cell47))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2521, 1514])).
% 1.32/1.37 tff(2523,plain,
% 1.32/1.37 (((~(cell89 = cell38)) | (~(X!1 = cell48))) | (cell89 = cell38)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2524,plain,
% 1.32/1.37 ((~(cell89 = cell38)) | (~(X!1 = cell48))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2523, 1523])).
% 1.32/1.37 tff(2525,plain,
% 1.32/1.37 (((~(cell89 = cell39)) | (~(X!1 = cell49))) | (cell89 = cell39)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2526,plain,
% 1.32/1.37 ((~(cell89 = cell39)) | (~(X!1 = cell49))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2525, 1532])).
% 1.32/1.37 tff(2527,plain,
% 1.32/1.37 (((~(cell89 = cell40)) | (~(X!1 = cell50))) | (cell89 = cell40)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2528,plain,
% 1.32/1.37 ((~(cell89 = cell40)) | (~(X!1 = cell50))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2527, 1541])).
% 1.32/1.37 tff(2529,plain,
% 1.32/1.37 (((~(cell89 = cell41)) | (~(X!1 = cell51))) | (cell89 = cell41)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2530,plain,
% 1.32/1.37 ((~(cell89 = cell41)) | (~(X!1 = cell51))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2529, 2050])).
% 1.32/1.37 tff(2531,plain,
% 1.32/1.37 (((~(cell89 = cell42)) | (~(X!1 = cell52))) | (cell89 = cell42)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2532,plain,
% 1.32/1.37 ((~(cell89 = cell42)) | (~(X!1 = cell52))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2531, 1550])).
% 1.32/1.37 tff(2533,plain,
% 1.32/1.37 (((~(cell89 = cell43)) | (~(X!1 = cell53))) | (cell89 = cell43)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2534,plain,
% 1.32/1.37 ((~(cell89 = cell43)) | (~(X!1 = cell53))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2533, 1559])).
% 1.32/1.37 tff(2535,plain,
% 1.32/1.37 (((~(cell89 = cell44)) | (~(X!1 = cell54))) | (cell89 = cell44)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2536,plain,
% 1.32/1.37 ((~(cell89 = cell44)) | (~(X!1 = cell54))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2535, 1568])).
% 1.32/1.37 tff(2537,plain,
% 1.32/1.37 (((~(cell89 = cell45)) | (~(X!1 = cell55))) | (cell89 = cell45)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2538,plain,
% 1.32/1.37 ((~(cell89 = cell45)) | (~(X!1 = cell55))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2537, 1577])).
% 1.32/1.37 tff(2539,plain,
% 1.32/1.37 (((~(cell89 = cell46)) | (~(X!1 = cell56))) | (cell89 = cell46)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2540,plain,
% 1.32/1.37 ((~(cell89 = cell46)) | (~(X!1 = cell56))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2539, 1586])).
% 1.32/1.37 tff(2541,plain,
% 1.32/1.37 (((~(cell89 = cell47)) | (~(X!1 = cell57))) | (cell89 = cell47)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2542,plain,
% 1.32/1.37 ((~(cell89 = cell47)) | (~(X!1 = cell57))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2541, 1595])).
% 1.32/1.37 tff(2543,plain,
% 1.32/1.37 (((~(cell89 = cell48)) | (~(X!1 = cell58))) | (cell89 = cell48)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2544,plain,
% 1.32/1.37 ((~(cell89 = cell48)) | (~(X!1 = cell58))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2543, 1604])).
% 1.32/1.37 tff(2545,plain,
% 1.32/1.37 (((~(cell89 = cell49)) | (~(X!1 = cell59))) | (cell89 = cell49)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2546,plain,
% 1.32/1.37 ((~(cell89 = cell49)) | (~(X!1 = cell59))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2545, 1613])).
% 1.32/1.37 tff(2547,plain,
% 1.32/1.37 (((~(cell89 = cell50)) | (~(X!1 = cell60))) | (cell89 = cell50)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2548,plain,
% 1.32/1.37 ((~(cell89 = cell50)) | (~(X!1 = cell60))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2547, 1622])).
% 1.32/1.37 tff(2549,plain,
% 1.32/1.37 (((~(cell89 = cell51)) | (~(X!1 = cell61))) | (cell89 = cell51)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2550,plain,
% 1.32/1.37 ((~(cell89 = cell51)) | (~(X!1 = cell61))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2549, 2077])).
% 1.32/1.37 tff(2551,plain,
% 1.32/1.37 (((~(cell89 = cell52)) | (~(X!1 = cell62))) | (cell89 = cell52)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2552,plain,
% 1.32/1.37 ((~(cell89 = cell52)) | (~(X!1 = cell62))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2551, 1631])).
% 1.32/1.37 tff(2553,plain,
% 1.32/1.37 (((~(cell89 = cell53)) | (~(X!1 = cell63))) | (cell89 = cell53)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2554,plain,
% 1.32/1.37 ((~(cell89 = cell53)) | (~(X!1 = cell63))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2553, 1640])).
% 1.32/1.37 tff(2555,plain,
% 1.32/1.37 (((~(cell89 = cell54)) | (~(X!1 = cell64))) | (cell89 = cell54)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2556,plain,
% 1.32/1.37 ((~(cell89 = cell54)) | (~(X!1 = cell64))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2555, 1649])).
% 1.32/1.37 tff(2557,plain,
% 1.32/1.37 (((~(cell89 = cell55)) | (~(X!1 = cell65))) | (cell89 = cell55)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2558,plain,
% 1.32/1.37 ((~(cell89 = cell55)) | (~(X!1 = cell65))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2557, 1658])).
% 1.32/1.37 tff(2559,plain,
% 1.32/1.37 (((~(cell89 = cell56)) | (~(X!1 = cell66))) | (cell89 = cell56)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2560,plain,
% 1.32/1.37 ((~(cell89 = cell56)) | (~(X!1 = cell66))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2559, 1667])).
% 1.32/1.37 tff(2561,plain,
% 1.32/1.37 (((~(cell89 = cell57)) | (~(X!1 = cell67))) | (cell89 = cell57)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2562,plain,
% 1.32/1.37 ((~(cell89 = cell57)) | (~(X!1 = cell67))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2561, 1676])).
% 1.32/1.37 tff(2563,plain,
% 1.32/1.37 (((~(cell89 = cell58)) | (~(X!1 = cell68))) | (cell89 = cell58)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2564,plain,
% 1.32/1.37 ((~(cell89 = cell58)) | (~(X!1 = cell68))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2563, 1685])).
% 1.32/1.37 tff(2565,plain,
% 1.32/1.37 (((~(cell89 = cell59)) | (~(X!1 = cell69))) | (cell89 = cell59)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2566,plain,
% 1.32/1.37 ((~(cell89 = cell59)) | (~(X!1 = cell69))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2565, 1694])).
% 1.32/1.37 tff(2567,plain,
% 1.32/1.37 (((~(cell89 = cell60)) | (~(X!1 = cell70))) | (cell89 = cell60)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2568,plain,
% 1.32/1.37 ((~(cell89 = cell60)) | (~(X!1 = cell70))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2567, 1703])).
% 1.32/1.37 tff(2569,plain,
% 1.32/1.37 (((~(cell89 = cell61)) | (~(X!1 = cell71))) | (cell89 = cell61)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2570,plain,
% 1.32/1.37 ((~(cell89 = cell61)) | (~(X!1 = cell71))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2569, 2104])).
% 1.32/1.37 tff(2571,plain,
% 1.32/1.37 (((~(cell89 = cell62)) | (~(X!1 = cell72))) | (cell89 = cell62)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2572,plain,
% 1.32/1.37 ((~(cell89 = cell62)) | (~(X!1 = cell72))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2571, 1712])).
% 1.32/1.37 tff(2573,plain,
% 1.32/1.37 (((~(cell89 = cell63)) | (~(X!1 = cell73))) | (cell89 = cell63)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2574,plain,
% 1.32/1.37 ((~(cell89 = cell63)) | (~(X!1 = cell73))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2573, 1721])).
% 1.32/1.37 tff(2575,plain,
% 1.32/1.37 (((~(cell89 = cell64)) | (~(X!1 = cell74))) | (cell89 = cell64)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2576,plain,
% 1.32/1.37 ((~(cell89 = cell64)) | (~(X!1 = cell74))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2575, 1730])).
% 1.32/1.37 tff(2577,plain,
% 1.32/1.37 (((~(cell89 = cell65)) | (~(X!1 = cell75))) | (cell89 = cell65)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2578,plain,
% 1.32/1.37 ((~(cell89 = cell65)) | (~(X!1 = cell75))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2577, 1739])).
% 1.32/1.37 tff(2579,plain,
% 1.32/1.37 (((~(cell89 = cell66)) | (~(X!1 = cell76))) | (cell89 = cell66)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2580,plain,
% 1.32/1.37 ((~(cell89 = cell66)) | (~(X!1 = cell76))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2579, 1748])).
% 1.32/1.37 tff(2581,plain,
% 1.32/1.37 (((~(cell89 = cell67)) | (~(X!1 = cell77))) | (cell89 = cell67)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2582,plain,
% 1.32/1.37 ((~(cell89 = cell67)) | (~(X!1 = cell77))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2581, 1757])).
% 1.32/1.37 tff(2583,plain,
% 1.32/1.37 (((~(cell89 = cell68)) | (~(X!1 = cell78))) | (cell89 = cell68)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2584,plain,
% 1.32/1.37 ((~(cell89 = cell68)) | (~(X!1 = cell78))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2583, 1766])).
% 1.32/1.37 tff(2585,plain,
% 1.32/1.37 (((~(cell89 = cell69)) | (~(X!1 = cell79))) | (cell89 = cell69)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2586,plain,
% 1.32/1.37 ((~(cell89 = cell69)) | (~(X!1 = cell79))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2585, 1775])).
% 1.32/1.37 tff(2587,plain,
% 1.32/1.37 (((~(cell89 = cell70)) | (~(X!1 = cell80))) | (cell89 = cell70)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2588,plain,
% 1.32/1.37 ((~(cell89 = cell70)) | (~(X!1 = cell80))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2587, 1784])).
% 1.32/1.37 tff(2589,plain,
% 1.32/1.37 (((~(cell89 = cell71)) | (~(X!1 = cell81))) | (cell89 = cell71)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2590,plain,
% 1.32/1.37 ((~(cell89 = cell71)) | (~(X!1 = cell81))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2589, 2131])).
% 1.32/1.37 tff(2591,plain,
% 1.32/1.37 (((~(cell89 = cell72)) | (~(X!1 = cell82))) | (cell89 = cell72)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2592,plain,
% 1.32/1.37 ((~(cell89 = cell72)) | (~(X!1 = cell82))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2591, 1793])).
% 1.32/1.37 tff(2593,plain,
% 1.32/1.37 (((~(cell89 = cell73)) | (~(X!1 = cell83))) | (cell89 = cell73)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2594,plain,
% 1.32/1.37 ((~(cell89 = cell73)) | (~(X!1 = cell83))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2593, 1802])).
% 1.32/1.37 tff(2595,plain,
% 1.32/1.37 (((~(cell89 = cell74)) | (~(X!1 = cell84))) | (cell89 = cell74)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2596,plain,
% 1.32/1.37 ((~(cell89 = cell74)) | (~(X!1 = cell84))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2595, 1811])).
% 1.32/1.37 tff(2597,plain,
% 1.32/1.37 (((~(cell89 = cell75)) | (~(X!1 = cell85))) | (cell89 = cell75)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2598,plain,
% 1.32/1.37 ((~(cell89 = cell75)) | (~(X!1 = cell85))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2597, 1820])).
% 1.32/1.37 tff(2599,plain,
% 1.32/1.37 (((~(cell89 = cell76)) | (~(X!1 = cell86))) | (cell89 = cell76)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2600,plain,
% 1.32/1.37 ((~(cell89 = cell76)) | (~(X!1 = cell86))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2599, 1829])).
% 1.32/1.37 tff(2601,plain,
% 1.32/1.37 (((~(cell89 = cell77)) | (~(X!1 = cell87))) | (cell89 = cell77)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2602,plain,
% 1.32/1.37 ((~(cell89 = cell77)) | (~(X!1 = cell87))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2601, 1838])).
% 1.32/1.37 tff(2603,plain,
% 1.32/1.37 (((~(cell89 = cell78)) | (~(X!1 = cell88))) | (cell89 = cell78)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2604,plain,
% 1.32/1.37 ((~(cell89 = cell78)) | (~(X!1 = cell88))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2603, 1847])).
% 1.32/1.37 tff(2605,plain,
% 1.32/1.37 ((cell12 = cell90) <=> (cell90 = cell12)),
% 1.32/1.37 inference(commutativity,[status(thm)],[])).
% 1.32/1.37 tff(2606,plain,
% 1.32/1.37 ((X!1 = cell90) <=> (cell12 = cell90)),
% 1.32/1.37 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.37 tff(2607,plain,
% 1.32/1.37 ((X!1 = cell90) <=> (cell90 = cell12)),
% 1.32/1.37 inference(transitivity,[status(thm)],[2606, 2605])).
% 1.32/1.37 tff(2608,plain,
% 1.32/1.37 ((cell90 = cell12) <=> (X!1 = cell90)),
% 1.32/1.37 inference(symmetry,[status(thm)],[2607])).
% 1.32/1.37 tff(2609,plain,
% 1.32/1.37 ((~(cell90 = cell12)) <=> (~(X!1 = cell90))),
% 1.32/1.37 inference(monotonicity,[status(thm)],[2608])).
% 1.32/1.37 tff(2610,plain,
% 1.32/1.37 ((~(cell90 = cell12)) <=> (~(cell90 = cell12))),
% 1.32/1.37 inference(rewrite,[status(thm)],[])).
% 1.32/1.37 tff(2611,axiom,(~(cell90 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49911')).
% 1.32/1.37 tff(2612,plain,
% 1.32/1.37 (~(cell90 = cell12)),
% 1.32/1.37 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 1.32/1.37 tff(2613,plain,
% 1.32/1.37 (~(X!1 = cell90)),
% 1.32/1.37 inference(modus_ponens,[status(thm)],[2612, 2609])).
% 1.32/1.37 tff(2614,plain,
% 1.32/1.37 (((~(cell89 = cell80)) | (~(X!1 = cell90))) | (X!1 = cell90)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2615,plain,
% 1.32/1.37 ((~(cell89 = cell80)) | (~(X!1 = cell90))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2614, 2613])).
% 1.32/1.37 tff(2616,plain,
% 1.32/1.37 (((~(cell89 = cell81)) | (~(X!1 = cell91))) | (cell89 = cell81)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2617,plain,
% 1.32/1.37 ((~(cell89 = cell81)) | (~(X!1 = cell91))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2616, 2156])).
% 1.32/1.37 tff(2618,plain,
% 1.32/1.37 (((~(cell89 = cell82)) | (~(X!1 = cell92))) | (cell89 = cell82)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2619,plain,
% 1.32/1.37 ((~(cell89 = cell82)) | (~(X!1 = cell92))),
% 1.32/1.37 inference(unit_resolution,[status(thm)],[2618, 1865])).
% 1.32/1.37 tff(2620,plain,
% 1.32/1.37 (((~(cell89 = cell83)) | (~(X!1 = cell93))) | (cell89 = cell83)),
% 1.32/1.37 inference(tautology,[status(thm)],[])).
% 1.32/1.37 tff(2621,plain,
% 1.32/1.37 ((~(cell89 = cell83)) | (~(X!1 = cell93))),
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% 1.32/1.40 inference(unit_resolution,[status(thm)],[2686, 2685, 2680, 2678, 2676, 2674, 2672, 2670, 2668, 2666, 2661, 2656, 2654, 2649, 2644, 2639, 2634])).
% 1.32/1.40 tff(2688,plain,
% 1.32/1.40 ($false),
% 1.32/1.40 inference(unit_resolution,[status(thm)],[2687, 2629, 2627, 2303, 2625, 2623, 2621, 2619, 2617, 2613, 2615, 2604, 2602, 2600, 2598, 2596, 2594, 2592, 2590, 2588, 2586, 2584, 2582, 2580, 2578, 2576, 2574, 2572, 2570, 2568, 2566, 2564, 2562, 2560, 2558, 2556, 2554, 2552, 2550, 2548, 2546, 2544, 2542, 2540, 2538, 2536, 2534, 2532, 2530, 2528, 2526, 2524, 2522, 2520, 2518, 2516, 2514, 2512, 2510, 2508, 2506, 2504, 2502, 2500, 2498, 2496, 2494, 2492, 2490, 2488, 2486, 2484, 2482, 2480, 2478, 2476, 2474, 2472, 2470, 2468, 2466, 2464, 2462, 2460, 2458, 2456, 2454, 2452, 2450, 2448, 2446, 2444, 2442, 2440, 2438, 2436, 2434, 2432, 2430, 2428, 2426, 2424, 2422, 2420, 2418, 2416, 2414, 2412, 2410, 2408, 2406, 2404, 2402, 2400, 2398, 2396, 2394, 2392, 2390, 2388, 2386, 2384, 2382, 2380, 2378, 2376, 2374, 2372, 2370, 2368, 2366, 2364, 2362, 2360, 2358, 2356, 2354, 2352, 2350, 2348, 2346, 2344, 2342, 2340, 2338, 2336, 2334, 2332, 2330, 2328, 2326, 2324, 2322, 2320, 2318, 2316, 2314, 2305, 2294, 2283, 2272, 2261, 2250, 2239, 2228, 2216])).
% 1.32/1.40 tff(2689,plain,((~edge(Y!0, X!1)) | (~(cell12 = X!1)) | (~(Y!0 = cell89))), inference(lemma,lemma(discharge,[]))).
% 1.32/1.40 tff(2690,plain,
% 1.32/1.40 (~edge(Y!0, X!1)),
% 1.32/1.40 inference(unit_resolution,[status(thm)],[2689, 2203, 2192])).
% 1.32/1.40 tff(2691,plain,
% 1.32/1.40 (^[Y: $i, X: $i] : refl((adj(X, Y) <=> (edge(X, Y) | edge(Y, X))) <=> (adj(X, Y) <=> (edge(X, Y) | edge(Y, X))))),
% 1.32/1.40 inference(bind,[status(th)],[])).
% 1.32/1.40 tff(2692,plain,
% 1.32/1.40 (![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X))) <=> ![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X)))),
% 1.32/1.40 inference(quant_intro,[status(thm)],[2691])).
% 1.32/1.40 tff(2693,plain,
% 1.32/1.40 (![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X))) <=> ![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X)))),
% 1.32/1.40 inference(rewrite,[status(thm)],[])).
% 1.32/1.40 tff(2694,axiom,(![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44980')).
% 1.32/1.40 tff(2695,plain,
% 1.32/1.40 (![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X)))),
% 1.32/1.40 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 1.32/1.40 tff(2696,plain,(
% 1.32/1.40 ![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X)))),
% 1.32/1.40 inference(skolemize,[status(sab)],[2695])).
% 1.32/1.40 tff(2697,plain,
% 1.32/1.40 (![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X)))),
% 1.32/1.40 inference(modus_ponens,[status(thm)],[2696, 2692])).
% 1.32/1.40 tff(2698,plain,
% 1.32/1.40 ((~![Y: $i, X: $i] : (adj(X, Y) <=> (edge(X, Y) | edge(Y, X)))) | (adj(X!1, Y!0) <=> (edge(X!1, Y!0) | edge(Y!0, X!1)))),
% 1.32/1.40 inference(quant_inst,[status(thm)],[])).
% 1.32/1.40 tff(2699,plain,
% 1.32/1.40 (adj(X!1, Y!0) <=> (edge(X!1, Y!0) | edge(Y!0, X!1))),
% 1.32/1.40 inference(unit_resolution,[status(thm)],[2698, 2697])).
% 1.32/1.40 tff(2700,plain,
% 1.32/1.40 (adj(X!1, Y!0)),
% 1.32/1.40 inference(or_elim,[status(thm)],[13])).
% 1.32/1.40 tff(2701,plain,
% 1.32/1.40 ((~(adj(X!1, Y!0) <=> (edge(X!1, Y!0) | edge(Y!0, X!1)))) | (~adj(X!1, Y!0)) | (edge(X!1, Y!0) | edge(Y!0, X!1))),
% 1.32/1.40 inference(tautology,[status(thm)],[])).
% 1.32/1.40 tff(2702,plain,
% 1.32/1.40 ((~(adj(X!1, Y!0) <=> (edge(X!1, Y!0) | edge(Y!0, X!1)))) | (edge(X!1, Y!0) | edge(Y!0, X!1))),
% 1.32/1.40 inference(unit_resolution,[status(thm)],[2701, 2700])).
% 1.32/1.40 tff(2703,plain,
% 1.32/1.40 (edge(X!1, Y!0) | edge(Y!0, X!1)),
% 1.32/1.40 inference(unit_resolution,[status(thm)],[2702, 2699])).
% 1.32/1.40 tff(2704,plain,
% 1.32/1.40 ((~(edge(X!1, Y!0) | edge(Y!0, X!1))) | edge(X!1, Y!0) | edge(Y!0, X!1)),
% 1.32/1.40 inference(tautology,[status(thm)],[])).
% 1.32/1.40 tff(2705,plain,
% 1.32/1.40 (edge(X!1, Y!0) | edge(Y!0, X!1)),
% 1.32/1.40 inference(unit_resolution,[status(thm)],[2704, 2703])).
% 1.32/1.40 tff(2706,plain,
% 1.32/1.40 (edge(X!1, Y!0)),
% 1.32/1.40 inference(unit_resolution,[status(thm)],[2705, 2690])).
% 1.32/1.40 tff(2707,plain,
% 1.32/1.40 (edge(X!1, cell89)),
% 1.32/1.40 inference(modus_ponens,[status(thm)],[2706, 2202])).
% 1.32/1.40 tff(2708,plain,
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% 1.32/1.42 inference(monotonicity,[status(thm)],[2711])).
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% 1.32/1.42 ((~(cell12 = cell2)) <=> (~(cell12 = cell2))),
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% 1.32/1.42 tff(2714,axiom,(~(cell12 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49922')).
% 1.32/1.42 tff(2715,plain,
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% 1.32/1.42 inference(modus_ponens,[status(thm)],[2714, 2713])).
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% 1.32/1.42 inference(modus_ponens,[status(thm)],[2715, 2712])).
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% 1.32/1.42 inference(unit_resolution,[status(thm)],[2717, 2716])).
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% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
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% 1.32/1.42 ((X!1 = cell3) <=> (cell3 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2720, 2719])).
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% 1.32/1.42 ((cell3 = cell12) <=> (X!1 = cell3)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2721])).
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% 1.32/1.42 ((~(cell3 = cell12)) <=> (~(X!1 = cell3))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2722])).
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% 1.32/1.42 tff(2725,axiom,(~(cell3 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49871')).
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% 1.32/1.42 inference(modus_ponens,[status(thm)],[2725, 2724])).
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% 1.32/1.42 inference(unit_resolution,[status(thm)],[2728, 2727])).
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% 1.32/1.42 inference(transitivity,[status(thm)],[2753, 2752])).
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% 1.32/1.42 tff(2772,plain,
% 1.32/1.42 (((~(X!1 = cell7)) | (~(cell89 = cell8))) | (X!1 = cell7)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2773,plain,
% 1.32/1.42 ((~(X!1 = cell7)) | (~(cell89 = cell8))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2772, 2771])).
% 1.32/1.42 tff(2774,plain,
% 1.32/1.42 ((cell12 = cell8) <=> (cell8 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2775,plain,
% 1.32/1.42 ((X!1 = cell8) <=> (cell12 = cell8)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2776,plain,
% 1.32/1.42 ((X!1 = cell8) <=> (cell8 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2775, 2774])).
% 1.32/1.42 tff(2777,plain,
% 1.32/1.42 ((cell8 = cell12) <=> (X!1 = cell8)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2776])).
% 1.32/1.42 tff(2778,plain,
% 1.32/1.42 ((~(cell8 = cell12)) <=> (~(X!1 = cell8))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2777])).
% 1.32/1.42 tff(2779,plain,
% 1.32/1.42 ((~(cell8 = cell12)) <=> (~(cell8 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2780,axiom,(~(cell8 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49806')).
% 1.32/1.42 tff(2781,plain,
% 1.32/1.42 (~(cell8 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2780, 2779])).
% 1.32/1.42 tff(2782,plain,
% 1.32/1.42 (~(X!1 = cell8)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2781, 2778])).
% 1.32/1.42 tff(2783,plain,
% 1.32/1.42 (((~(X!1 = cell8)) | (~(cell89 = cell9))) | (X!1 = cell8)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2784,plain,
% 1.32/1.42 ((~(X!1 = cell8)) | (~(cell89 = cell9))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2783, 2782])).
% 1.32/1.42 tff(2785,plain,
% 1.32/1.42 ((cell12 = cell9) <=> (cell9 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2786,plain,
% 1.32/1.42 ((X!1 = cell9) <=> (cell12 = cell9)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2787,plain,
% 1.32/1.42 ((X!1 = cell9) <=> (cell9 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2786, 2785])).
% 1.32/1.42 tff(2788,plain,
% 1.32/1.42 ((cell9 = cell12) <=> (X!1 = cell9)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2787])).
% 1.32/1.42 tff(2789,plain,
% 1.32/1.42 ((~(cell9 = cell12)) <=> (~(X!1 = cell9))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2788])).
% 1.32/1.42 tff(2790,plain,
% 1.32/1.42 ((~(cell9 = cell12)) <=> (~(cell9 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2791,axiom,(~(cell9 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49790')).
% 1.32/1.42 tff(2792,plain,
% 1.32/1.42 (~(cell9 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 1.32/1.42 tff(2793,plain,
% 1.32/1.42 (~(X!1 = cell9)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2792, 2789])).
% 1.32/1.42 tff(2794,plain,
% 1.32/1.42 (((~(X!1 = cell9)) | (~(cell89 = cell10))) | (X!1 = cell9)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2795,plain,
% 1.32/1.42 ((~(X!1 = cell9)) | (~(cell89 = cell10))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2794, 2793])).
% 1.32/1.42 tff(2796,plain,
% 1.32/1.42 ((X!1 = cell13) <=> (cell12 = cell13)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2797,plain,
% 1.32/1.42 ((cell12 = cell13) <=> (X!1 = cell13)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2796])).
% 1.32/1.42 tff(2798,plain,
% 1.32/1.42 ((~(cell12 = cell13)) <=> (~(X!1 = cell13))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2797])).
% 1.32/1.42 tff(2799,plain,
% 1.32/1.42 ((~(cell12 = cell13)) <=> (~(cell12 = cell13))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2800,axiom,(~(cell12 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49923')).
% 1.32/1.42 tff(2801,plain,
% 1.32/1.42 (~(cell12 = cell13)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2800, 2799])).
% 1.32/1.42 tff(2802,plain,
% 1.32/1.42 (~(X!1 = cell13)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2801, 2798])).
% 1.32/1.42 tff(2803,plain,
% 1.32/1.42 (((~(X!1 = cell13)) | (~(cell89 = cell14))) | (X!1 = cell13)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2804,plain,
% 1.32/1.42 ((~(X!1 = cell13)) | (~(cell89 = cell14))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2803, 2802])).
% 1.32/1.42 tff(2805,plain,
% 1.32/1.42 ((cell12 = cell14) <=> (cell14 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2806,plain,
% 1.32/1.42 ((X!1 = cell14) <=> (cell12 = cell14)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2807,plain,
% 1.32/1.42 ((X!1 = cell14) <=> (cell14 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2806, 2805])).
% 1.32/1.42 tff(2808,plain,
% 1.32/1.42 ((cell14 = cell12) <=> (X!1 = cell14)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2807])).
% 1.32/1.42 tff(2809,plain,
% 1.32/1.42 ((~(cell14 = cell12)) <=> (~(X!1 = cell14))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2808])).
% 1.32/1.42 tff(2810,plain,
% 1.32/1.42 ((~(cell14 = cell12)) <=> (~(cell14 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2811,axiom,(~(cell14 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49755')).
% 1.32/1.42 tff(2812,plain,
% 1.32/1.42 (~(cell14 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2811, 2810])).
% 1.32/1.42 tff(2813,plain,
% 1.32/1.42 (~(X!1 = cell14)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2812, 2809])).
% 1.32/1.42 tff(2814,plain,
% 1.32/1.42 (((~(X!1 = cell14)) | (~(cell89 = cell15))) | (X!1 = cell14)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2815,plain,
% 1.32/1.42 ((~(X!1 = cell14)) | (~(cell89 = cell15))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2814, 2813])).
% 1.32/1.42 tff(2816,plain,
% 1.32/1.42 ((cell12 = cell15) <=> (cell15 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2817,plain,
% 1.32/1.42 ((X!1 = cell15) <=> (cell12 = cell15)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2818,plain,
% 1.32/1.42 ((X!1 = cell15) <=> (cell15 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2817, 2816])).
% 1.32/1.42 tff(2819,plain,
% 1.32/1.42 ((cell15 = cell12) <=> (X!1 = cell15)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2818])).
% 1.32/1.42 tff(2820,plain,
% 1.32/1.42 ((~(cell15 = cell12)) <=> (~(X!1 = cell15))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2819])).
% 1.32/1.42 tff(2821,plain,
% 1.32/1.42 ((~(cell15 = cell12)) <=> (~(cell15 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2822,axiom,(~(cell15 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49736')).
% 1.32/1.42 tff(2823,plain,
% 1.32/1.42 (~(cell15 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2822, 2821])).
% 1.32/1.42 tff(2824,plain,
% 1.32/1.42 (~(X!1 = cell15)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2823, 2820])).
% 1.32/1.42 tff(2825,plain,
% 1.32/1.42 (((~(X!1 = cell15)) | (~(cell89 = cell16))) | (X!1 = cell15)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2826,plain,
% 1.32/1.42 ((~(X!1 = cell15)) | (~(cell89 = cell16))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2825, 2824])).
% 1.32/1.42 tff(2827,plain,
% 1.32/1.42 ((cell12 = cell16) <=> (cell16 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2828,plain,
% 1.32/1.42 ((X!1 = cell16) <=> (cell12 = cell16)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2829,plain,
% 1.32/1.42 ((X!1 = cell16) <=> (cell16 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2828, 2827])).
% 1.32/1.42 tff(2830,plain,
% 1.32/1.42 ((cell16 = cell12) <=> (X!1 = cell16)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2829])).
% 1.32/1.42 tff(2831,plain,
% 1.32/1.42 ((~(cell16 = cell12)) <=> (~(X!1 = cell16))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2830])).
% 1.32/1.42 tff(2832,plain,
% 1.32/1.42 ((~(cell16 = cell12)) <=> (~(cell16 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2833,axiom,(~(cell16 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49716')).
% 1.32/1.42 tff(2834,plain,
% 1.32/1.42 (~(cell16 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 1.32/1.42 tff(2835,plain,
% 1.32/1.42 (~(X!1 = cell16)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2834, 2831])).
% 1.32/1.42 tff(2836,plain,
% 1.32/1.42 (((~(X!1 = cell16)) | (~(cell89 = cell17))) | (X!1 = cell16)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2837,plain,
% 1.32/1.42 ((~(X!1 = cell16)) | (~(cell89 = cell17))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2836, 2835])).
% 1.32/1.42 tff(2838,plain,
% 1.32/1.42 ((cell12 = cell17) <=> (cell17 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2839,plain,
% 1.32/1.42 ((X!1 = cell17) <=> (cell12 = cell17)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2840,plain,
% 1.32/1.42 ((X!1 = cell17) <=> (cell17 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2839, 2838])).
% 1.32/1.42 tff(2841,plain,
% 1.32/1.42 ((cell17 = cell12) <=> (X!1 = cell17)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2840])).
% 1.32/1.42 tff(2842,plain,
% 1.32/1.42 ((~(cell17 = cell12)) <=> (~(X!1 = cell17))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2841])).
% 1.32/1.42 tff(2843,plain,
% 1.32/1.42 ((~(cell17 = cell12)) <=> (~(cell17 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2844,axiom,(~(cell17 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49695')).
% 1.32/1.42 tff(2845,plain,
% 1.32/1.42 (~(cell17 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 1.32/1.42 tff(2846,plain,
% 1.32/1.42 (~(X!1 = cell17)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2845, 2842])).
% 1.32/1.42 tff(2847,plain,
% 1.32/1.42 (((~(X!1 = cell17)) | (~(cell89 = cell18))) | (X!1 = cell17)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2848,plain,
% 1.32/1.42 ((~(X!1 = cell17)) | (~(cell89 = cell18))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2847, 2846])).
% 1.32/1.42 tff(2849,plain,
% 1.32/1.42 ((cell12 = cell18) <=> (cell18 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2850,plain,
% 1.32/1.42 ((X!1 = cell18) <=> (cell12 = cell18)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2851,plain,
% 1.32/1.42 ((X!1 = cell18) <=> (cell18 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2850, 2849])).
% 1.32/1.42 tff(2852,plain,
% 1.32/1.42 ((cell18 = cell12) <=> (X!1 = cell18)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2851])).
% 1.32/1.42 tff(2853,plain,
% 1.32/1.42 ((~(cell18 = cell12)) <=> (~(X!1 = cell18))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2852])).
% 1.32/1.42 tff(2854,plain,
% 1.32/1.42 ((~(cell18 = cell12)) <=> (~(cell18 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2855,axiom,(~(cell18 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49673')).
% 1.32/1.42 tff(2856,plain,
% 1.32/1.42 (~(cell18 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2855, 2854])).
% 1.32/1.42 tff(2857,plain,
% 1.32/1.42 (~(X!1 = cell18)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2856, 2853])).
% 1.32/1.42 tff(2858,plain,
% 1.32/1.42 (((~(X!1 = cell18)) | (~(cell89 = cell19))) | (X!1 = cell18)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2859,plain,
% 1.32/1.42 ((~(X!1 = cell18)) | (~(cell89 = cell19))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2858, 2857])).
% 1.32/1.42 tff(2860,plain,
% 1.32/1.42 ((cell12 = cell19) <=> (cell19 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2861,plain,
% 1.32/1.42 ((X!1 = cell19) <=> (cell12 = cell19)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2862,plain,
% 1.32/1.42 ((X!1 = cell19) <=> (cell19 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2861, 2860])).
% 1.32/1.42 tff(2863,plain,
% 1.32/1.42 ((cell19 = cell12) <=> (X!1 = cell19)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2862])).
% 1.32/1.42 tff(2864,plain,
% 1.32/1.42 ((~(cell19 = cell12)) <=> (~(X!1 = cell19))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2863])).
% 1.32/1.42 tff(2865,plain,
% 1.32/1.42 ((~(cell19 = cell12)) <=> (~(cell19 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2866,axiom,(~(cell19 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49650')).
% 1.32/1.42 tff(2867,plain,
% 1.32/1.42 (~(cell19 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2866, 2865])).
% 1.32/1.42 tff(2868,plain,
% 1.32/1.42 (~(X!1 = cell19)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2867, 2864])).
% 1.32/1.42 tff(2869,plain,
% 1.32/1.42 (((~(X!1 = cell19)) | (~(cell89 = cell20))) | (X!1 = cell19)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2870,plain,
% 1.32/1.42 ((~(X!1 = cell19)) | (~(cell89 = cell20))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2869, 2868])).
% 1.32/1.42 tff(2871,plain,
% 1.32/1.42 ((X!1 = cell22) <=> (cell12 = cell22)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2872,plain,
% 1.32/1.42 ((cell12 = cell22) <=> (X!1 = cell22)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2871])).
% 1.32/1.42 tff(2873,plain,
% 1.32/1.42 ((~(cell12 = cell22)) <=> (~(X!1 = cell22))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2872])).
% 1.32/1.42 tff(2874,plain,
% 1.32/1.42 ((~(cell12 = cell22)) <=> (~(cell12 = cell22))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2875,axiom,(~(cell12 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49924')).
% 1.32/1.42 tff(2876,plain,
% 1.32/1.42 (~(cell12 = cell22)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2875, 2874])).
% 1.32/1.42 tff(2877,plain,
% 1.32/1.42 (~(X!1 = cell22)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2876, 2873])).
% 1.32/1.42 tff(2878,plain,
% 1.32/1.42 (((~(X!1 = cell22)) | (~(cell89 = cell23))) | (X!1 = cell22)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2879,plain,
% 1.32/1.42 ((~(X!1 = cell22)) | (~(cell89 = cell23))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2878, 2877])).
% 1.32/1.42 tff(2880,plain,
% 1.32/1.42 ((cell12 = cell23) <=> (cell23 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2881,plain,
% 1.32/1.42 ((X!1 = cell23) <=> (cell12 = cell23)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2882,plain,
% 1.32/1.42 ((X!1 = cell23) <=> (cell23 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2881, 2880])).
% 1.32/1.42 tff(2883,plain,
% 1.32/1.42 ((cell23 = cell12) <=> (X!1 = cell23)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2882])).
% 1.32/1.42 tff(2884,plain,
% 1.32/1.42 ((~(cell23 = cell12)) <=> (~(X!1 = cell23))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2883])).
% 1.32/1.42 tff(2885,plain,
% 1.32/1.42 ((~(cell23 = cell12)) <=> (~(cell23 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2886,axiom,(~(cell23 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49575')).
% 1.32/1.42 tff(2887,plain,
% 1.32/1.42 (~(cell23 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 1.32/1.42 tff(2888,plain,
% 1.32/1.42 (~(X!1 = cell23)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2887, 2884])).
% 1.32/1.42 tff(2889,plain,
% 1.32/1.42 (((~(X!1 = cell23)) | (~(cell89 = cell24))) | (X!1 = cell23)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2890,plain,
% 1.32/1.42 ((~(X!1 = cell23)) | (~(cell89 = cell24))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2889, 2888])).
% 1.32/1.42 tff(2891,plain,
% 1.32/1.42 ((cell12 = cell24) <=> (cell24 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2892,plain,
% 1.32/1.42 ((X!1 = cell24) <=> (cell12 = cell24)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2893,plain,
% 1.32/1.42 ((X!1 = cell24) <=> (cell24 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2892, 2891])).
% 1.32/1.42 tff(2894,plain,
% 1.32/1.42 ((cell24 = cell12) <=> (X!1 = cell24)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2893])).
% 1.32/1.42 tff(2895,plain,
% 1.32/1.42 ((~(cell24 = cell12)) <=> (~(X!1 = cell24))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2894])).
% 1.32/1.42 tff(2896,plain,
% 1.32/1.42 ((~(cell24 = cell12)) <=> (~(cell24 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2897,axiom,(~(cell24 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49548')).
% 1.32/1.42 tff(2898,plain,
% 1.32/1.42 (~(cell24 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2897, 2896])).
% 1.32/1.42 tff(2899,plain,
% 1.32/1.42 (~(X!1 = cell24)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2898, 2895])).
% 1.32/1.42 tff(2900,plain,
% 1.32/1.42 (((~(X!1 = cell24)) | (~(cell89 = cell25))) | (X!1 = cell24)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2901,plain,
% 1.32/1.42 ((~(X!1 = cell24)) | (~(cell89 = cell25))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2900, 2899])).
% 1.32/1.42 tff(2902,plain,
% 1.32/1.42 ((cell12 = cell25) <=> (cell25 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2903,plain,
% 1.32/1.42 ((X!1 = cell25) <=> (cell12 = cell25)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2904,plain,
% 1.32/1.42 ((X!1 = cell25) <=> (cell25 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2903, 2902])).
% 1.32/1.42 tff(2905,plain,
% 1.32/1.42 ((cell25 = cell12) <=> (X!1 = cell25)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2904])).
% 1.32/1.42 tff(2906,plain,
% 1.32/1.42 ((~(cell25 = cell12)) <=> (~(X!1 = cell25))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2905])).
% 1.32/1.42 tff(2907,plain,
% 1.32/1.42 ((~(cell25 = cell12)) <=> (~(cell25 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2908,axiom,(~(cell25 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49520')).
% 1.32/1.42 tff(2909,plain,
% 1.32/1.42 (~(cell25 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2908, 2907])).
% 1.32/1.42 tff(2910,plain,
% 1.32/1.42 (~(X!1 = cell25)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2909, 2906])).
% 1.32/1.42 tff(2911,plain,
% 1.32/1.42 (((~(X!1 = cell25)) | (~(cell89 = cell26))) | (X!1 = cell25)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2912,plain,
% 1.32/1.42 ((~(X!1 = cell25)) | (~(cell89 = cell26))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2911, 2910])).
% 1.32/1.42 tff(2913,plain,
% 1.32/1.42 ((cell12 = cell26) <=> (cell26 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2914,plain,
% 1.32/1.42 ((X!1 = cell26) <=> (cell12 = cell26)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2915,plain,
% 1.32/1.42 ((X!1 = cell26) <=> (cell26 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2914, 2913])).
% 1.32/1.42 tff(2916,plain,
% 1.32/1.42 ((cell26 = cell12) <=> (X!1 = cell26)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2915])).
% 1.32/1.42 tff(2917,plain,
% 1.32/1.42 ((~(cell26 = cell12)) <=> (~(X!1 = cell26))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2916])).
% 1.32/1.42 tff(2918,plain,
% 1.32/1.42 ((~(cell26 = cell12)) <=> (~(cell26 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2919,axiom,(~(cell26 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49491')).
% 1.32/1.42 tff(2920,plain,
% 1.32/1.42 (~(cell26 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2919, 2918])).
% 1.32/1.42 tff(2921,plain,
% 1.32/1.42 (~(X!1 = cell26)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2920, 2917])).
% 1.32/1.42 tff(2922,plain,
% 1.32/1.42 (((~(X!1 = cell26)) | (~(cell89 = cell27))) | (X!1 = cell26)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2923,plain,
% 1.32/1.42 ((~(X!1 = cell26)) | (~(cell89 = cell27))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2922, 2921])).
% 1.32/1.42 tff(2924,plain,
% 1.32/1.42 ((cell12 = cell27) <=> (cell27 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2925,plain,
% 1.32/1.42 ((X!1 = cell27) <=> (cell12 = cell27)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2926,plain,
% 1.32/1.42 ((X!1 = cell27) <=> (cell27 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2925, 2924])).
% 1.32/1.42 tff(2927,plain,
% 1.32/1.42 ((cell27 = cell12) <=> (X!1 = cell27)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2926])).
% 1.32/1.42 tff(2928,plain,
% 1.32/1.42 ((~(cell27 = cell12)) <=> (~(X!1 = cell27))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2927])).
% 1.32/1.42 tff(2929,plain,
% 1.32/1.42 ((~(cell27 = cell12)) <=> (~(cell27 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2930,axiom,(~(cell27 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49461')).
% 1.32/1.42 tff(2931,plain,
% 1.32/1.42 (~(cell27 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2930, 2929])).
% 1.32/1.42 tff(2932,plain,
% 1.32/1.42 (~(X!1 = cell27)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2931, 2928])).
% 1.32/1.42 tff(2933,plain,
% 1.32/1.42 (((~(X!1 = cell27)) | (~(cell89 = cell28))) | (X!1 = cell27)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2934,plain,
% 1.32/1.42 ((~(X!1 = cell27)) | (~(cell89 = cell28))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2933, 2932])).
% 1.32/1.42 tff(2935,plain,
% 1.32/1.42 ((cell12 = cell28) <=> (cell28 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2936,plain,
% 1.32/1.42 ((X!1 = cell28) <=> (cell12 = cell28)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2937,plain,
% 1.32/1.42 ((X!1 = cell28) <=> (cell28 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2936, 2935])).
% 1.32/1.42 tff(2938,plain,
% 1.32/1.42 ((cell28 = cell12) <=> (X!1 = cell28)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2937])).
% 1.32/1.42 tff(2939,plain,
% 1.32/1.42 ((~(cell28 = cell12)) <=> (~(X!1 = cell28))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2938])).
% 1.32/1.42 tff(2940,plain,
% 1.32/1.42 ((~(cell28 = cell12)) <=> (~(cell28 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2941,axiom,(~(cell28 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49430')).
% 1.32/1.42 tff(2942,plain,
% 1.32/1.42 (~(cell28 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 1.32/1.42 tff(2943,plain,
% 1.32/1.42 (~(X!1 = cell28)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2942, 2939])).
% 1.32/1.42 tff(2944,plain,
% 1.32/1.42 (((~(X!1 = cell28)) | (~(cell89 = cell29))) | (X!1 = cell28)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2945,plain,
% 1.32/1.42 ((~(X!1 = cell28)) | (~(cell89 = cell29))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2944, 2943])).
% 1.32/1.42 tff(2946,plain,
% 1.32/1.42 ((cell12 = cell29) <=> (cell29 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2947,plain,
% 1.32/1.42 ((X!1 = cell29) <=> (cell12 = cell29)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2948,plain,
% 1.32/1.42 ((X!1 = cell29) <=> (cell29 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2947, 2946])).
% 1.32/1.42 tff(2949,plain,
% 1.32/1.42 ((cell29 = cell12) <=> (X!1 = cell29)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2948])).
% 1.32/1.42 tff(2950,plain,
% 1.32/1.42 ((~(cell29 = cell12)) <=> (~(X!1 = cell29))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2949])).
% 1.32/1.42 tff(2951,plain,
% 1.32/1.42 ((~(cell29 = cell12)) <=> (~(cell29 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2952,axiom,(~(cell29 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49398')).
% 1.32/1.42 tff(2953,plain,
% 1.32/1.42 (~(cell29 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 1.32/1.42 tff(2954,plain,
% 1.32/1.42 (~(X!1 = cell29)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2953, 2950])).
% 1.32/1.42 tff(2955,plain,
% 1.32/1.42 (((~(X!1 = cell29)) | (~(cell89 = cell30))) | (X!1 = cell29)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2956,plain,
% 1.32/1.42 ((~(X!1 = cell29)) | (~(cell89 = cell30))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2955, 2954])).
% 1.32/1.42 tff(2957,plain,
% 1.32/1.42 ((cell12 = cell31) <=> (cell31 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2958,plain,
% 1.32/1.42 ((X!1 = cell31) <=> (cell12 = cell31)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2959,plain,
% 1.32/1.42 ((X!1 = cell31) <=> (cell31 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2958, 2957])).
% 1.32/1.42 tff(2960,plain,
% 1.32/1.42 ((cell31 = cell12) <=> (X!1 = cell31)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2959])).
% 1.32/1.42 tff(2961,plain,
% 1.32/1.42 ((~(cell31 = cell12)) <=> (~(X!1 = cell31))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2960])).
% 1.32/1.42 tff(2962,plain,
% 1.32/1.42 ((~(cell31 = cell12)) <=> (~(cell31 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2963,axiom,(~(cell31 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49296')).
% 1.32/1.42 tff(2964,plain,
% 1.32/1.42 (~(cell31 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2963, 2962])).
% 1.32/1.42 tff(2965,plain,
% 1.32/1.42 (~(X!1 = cell31)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2964, 2961])).
% 1.32/1.42 tff(2966,plain,
% 1.32/1.42 (((~(X!1 = cell31)) | (~(cell89 = cell32))) | (X!1 = cell31)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2967,plain,
% 1.32/1.42 ((~(X!1 = cell31)) | (~(cell89 = cell32))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2966, 2965])).
% 1.32/1.42 tff(2968,plain,
% 1.32/1.42 ((cell12 = cell32) <=> (cell32 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2969,plain,
% 1.32/1.42 ((X!1 = cell32) <=> (cell12 = cell32)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2970,plain,
% 1.32/1.42 ((X!1 = cell32) <=> (cell32 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2969, 2968])).
% 1.32/1.42 tff(2971,plain,
% 1.32/1.42 ((cell32 = cell12) <=> (X!1 = cell32)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2970])).
% 1.32/1.42 tff(2972,plain,
% 1.32/1.42 ((~(cell32 = cell12)) <=> (~(X!1 = cell32))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2971])).
% 1.32/1.42 tff(2973,plain,
% 1.32/1.42 ((~(cell32 = cell12)) <=> (~(cell32 = cell12))),
% 1.32/1.42 inference(rewrite,[status(thm)],[])).
% 1.32/1.42 tff(2974,axiom,(~(cell32 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49331')).
% 1.32/1.42 tff(2975,plain,
% 1.32/1.42 (~(cell32 = cell12)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2974, 2973])).
% 1.32/1.42 tff(2976,plain,
% 1.32/1.42 (~(X!1 = cell32)),
% 1.32/1.42 inference(modus_ponens,[status(thm)],[2975, 2972])).
% 1.32/1.42 tff(2977,plain,
% 1.32/1.42 (((~(X!1 = cell32)) | (~(cell89 = cell33))) | (X!1 = cell32)),
% 1.32/1.42 inference(tautology,[status(thm)],[])).
% 1.32/1.42 tff(2978,plain,
% 1.32/1.42 ((~(X!1 = cell32)) | (~(cell89 = cell33))),
% 1.32/1.42 inference(unit_resolution,[status(thm)],[2977, 2976])).
% 1.32/1.42 tff(2979,plain,
% 1.32/1.42 ((cell12 = cell33) <=> (cell33 = cell12)),
% 1.32/1.42 inference(commutativity,[status(thm)],[])).
% 1.32/1.42 tff(2980,plain,
% 1.32/1.42 ((X!1 = cell33) <=> (cell12 = cell33)),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.42 tff(2981,plain,
% 1.32/1.42 ((X!1 = cell33) <=> (cell33 = cell12)),
% 1.32/1.42 inference(transitivity,[status(thm)],[2980, 2979])).
% 1.32/1.42 tff(2982,plain,
% 1.32/1.42 ((cell33 = cell12) <=> (X!1 = cell33)),
% 1.32/1.42 inference(symmetry,[status(thm)],[2981])).
% 1.32/1.42 tff(2983,plain,
% 1.32/1.42 ((~(cell33 = cell12)) <=> (~(X!1 = cell33))),
% 1.32/1.42 inference(monotonicity,[status(thm)],[2982])).
% 1.32/1.42 tff(2984,plain,
% 1.32/1.42 ((~(cell33 = cell12)) <=> (~(cell33 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(2985,axiom,(~(cell33 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49260')).
% 1.32/1.43 tff(2986,plain,
% 1.32/1.43 (~(cell33 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[2985, 2984])).
% 1.32/1.43 tff(2987,plain,
% 1.32/1.43 (~(X!1 = cell33)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[2986, 2983])).
% 1.32/1.43 tff(2988,plain,
% 1.32/1.43 (((~(X!1 = cell33)) | (~(cell89 = cell34))) | (X!1 = cell33)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(2989,plain,
% 1.32/1.43 ((~(X!1 = cell33)) | (~(cell89 = cell34))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[2988, 2987])).
% 1.32/1.43 tff(2990,plain,
% 1.32/1.43 ((cell12 = cell34) <=> (cell34 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(2991,plain,
% 1.32/1.43 ((X!1 = cell34) <=> (cell12 = cell34)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(2992,plain,
% 1.32/1.43 ((X!1 = cell34) <=> (cell34 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[2991, 2990])).
% 1.32/1.43 tff(2993,plain,
% 1.32/1.43 ((cell34 = cell12) <=> (X!1 = cell34)),
% 1.32/1.43 inference(symmetry,[status(thm)],[2992])).
% 1.32/1.43 tff(2994,plain,
% 1.32/1.43 ((~(cell34 = cell12)) <=> (~(X!1 = cell34))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2993])).
% 1.32/1.43 tff(2995,plain,
% 1.32/1.43 ((~(cell34 = cell12)) <=> (~(cell34 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(2996,axiom,(~(cell34 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49223')).
% 1.32/1.43 tff(2997,plain,
% 1.32/1.43 (~(cell34 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[2996, 2995])).
% 1.32/1.43 tff(2998,plain,
% 1.32/1.43 (~(X!1 = cell34)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[2997, 2994])).
% 1.32/1.43 tff(2999,plain,
% 1.32/1.43 (((~(X!1 = cell34)) | (~(cell89 = cell35))) | (X!1 = cell34)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3000,plain,
% 1.32/1.43 ((~(X!1 = cell34)) | (~(cell89 = cell35))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[2999, 2998])).
% 1.32/1.43 tff(3001,plain,
% 1.32/1.43 ((cell12 = cell35) <=> (cell35 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3002,plain,
% 1.32/1.43 ((X!1 = cell35) <=> (cell12 = cell35)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3003,plain,
% 1.32/1.43 ((X!1 = cell35) <=> (cell35 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3002, 3001])).
% 1.32/1.43 tff(3004,plain,
% 1.32/1.43 ((cell35 = cell12) <=> (X!1 = cell35)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3003])).
% 1.32/1.43 tff(3005,plain,
% 1.32/1.43 ((~(cell35 = cell12)) <=> (~(X!1 = cell35))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3004])).
% 1.32/1.43 tff(3006,plain,
% 1.32/1.43 ((~(cell35 = cell12)) <=> (~(cell35 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3007,axiom,(~(cell35 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49185')).
% 1.32/1.43 tff(3008,plain,
% 1.32/1.43 (~(cell35 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 1.32/1.43 tff(3009,plain,
% 1.32/1.43 (~(X!1 = cell35)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3008, 3005])).
% 1.32/1.43 tff(3010,plain,
% 1.32/1.43 (((~(X!1 = cell35)) | (~(cell89 = cell36))) | (X!1 = cell35)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3011,plain,
% 1.32/1.43 ((~(X!1 = cell35)) | (~(cell89 = cell36))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3010, 3009])).
% 1.32/1.43 tff(3012,plain,
% 1.32/1.43 ((cell12 = cell36) <=> (cell36 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3013,plain,
% 1.32/1.43 ((X!1 = cell36) <=> (cell12 = cell36)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3014,plain,
% 1.32/1.43 ((X!1 = cell36) <=> (cell36 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3013, 3012])).
% 1.32/1.43 tff(3015,plain,
% 1.32/1.43 ((cell36 = cell12) <=> (X!1 = cell36)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3014])).
% 1.32/1.43 tff(3016,plain,
% 1.32/1.43 ((~(cell36 = cell12)) <=> (~(X!1 = cell36))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3015])).
% 1.32/1.43 tff(3017,plain,
% 1.32/1.43 ((~(cell36 = cell12)) <=> (~(cell36 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3018,axiom,(~(cell36 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49146')).
% 1.32/1.43 tff(3019,plain,
% 1.32/1.43 (~(cell36 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 1.32/1.43 tff(3020,plain,
% 1.32/1.43 (~(X!1 = cell36)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3019, 3016])).
% 1.32/1.43 tff(3021,plain,
% 1.32/1.43 (((~(X!1 = cell36)) | (~(cell89 = cell37))) | (X!1 = cell36)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3022,plain,
% 1.32/1.43 ((~(X!1 = cell36)) | (~(cell89 = cell37))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3021, 3020])).
% 1.32/1.43 tff(3023,plain,
% 1.32/1.43 ((cell12 = cell37) <=> (cell37 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3024,plain,
% 1.32/1.43 ((X!1 = cell37) <=> (cell12 = cell37)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3025,plain,
% 1.32/1.43 ((X!1 = cell37) <=> (cell37 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3024, 3023])).
% 1.32/1.43 tff(3026,plain,
% 1.32/1.43 ((cell37 = cell12) <=> (X!1 = cell37)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3025])).
% 1.32/1.43 tff(3027,plain,
% 1.32/1.43 ((~(cell37 = cell12)) <=> (~(X!1 = cell37))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3026])).
% 1.32/1.43 tff(3028,plain,
% 1.32/1.43 ((~(cell37 = cell12)) <=> (~(cell37 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3029,axiom,(~(cell37 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49106')).
% 1.32/1.43 tff(3030,plain,
% 1.32/1.43 (~(cell37 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 1.32/1.43 tff(3031,plain,
% 1.32/1.43 (~(X!1 = cell37)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3030, 3027])).
% 1.32/1.43 tff(3032,plain,
% 1.32/1.43 (((~(X!1 = cell37)) | (~(cell89 = cell38))) | (X!1 = cell37)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3033,plain,
% 1.32/1.43 ((~(X!1 = cell37)) | (~(cell89 = cell38))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3032, 3031])).
% 1.32/1.43 tff(3034,plain,
% 1.32/1.43 ((cell12 = cell38) <=> (cell38 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3035,plain,
% 1.32/1.43 ((X!1 = cell38) <=> (cell12 = cell38)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3036,plain,
% 1.32/1.43 ((X!1 = cell38) <=> (cell38 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3035, 3034])).
% 1.32/1.43 tff(3037,plain,
% 1.32/1.43 ((cell38 = cell12) <=> (X!1 = cell38)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3036])).
% 1.32/1.43 tff(3038,plain,
% 1.32/1.43 ((~(cell38 = cell12)) <=> (~(X!1 = cell38))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3037])).
% 1.32/1.43 tff(3039,plain,
% 1.32/1.43 ((~(cell38 = cell12)) <=> (~(cell38 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3040,axiom,(~(cell38 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49065')).
% 1.32/1.43 tff(3041,plain,
% 1.32/1.43 (~(cell38 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3040, 3039])).
% 1.32/1.43 tff(3042,plain,
% 1.32/1.43 (~(X!1 = cell38)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3041, 3038])).
% 1.32/1.43 tff(3043,plain,
% 1.32/1.43 (((~(X!1 = cell38)) | (~(cell89 = cell39))) | (X!1 = cell38)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3044,plain,
% 1.32/1.43 ((~(X!1 = cell38)) | (~(cell89 = cell39))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3043, 3042])).
% 1.32/1.43 tff(3045,plain,
% 1.32/1.43 ((cell12 = cell39) <=> (cell39 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3046,plain,
% 1.32/1.43 ((X!1 = cell39) <=> (cell12 = cell39)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3047,plain,
% 1.32/1.43 ((X!1 = cell39) <=> (cell39 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3046, 3045])).
% 1.32/1.43 tff(3048,plain,
% 1.32/1.43 ((cell39 = cell12) <=> (X!1 = cell39)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3047])).
% 1.32/1.43 tff(3049,plain,
% 1.32/1.43 ((~(cell39 = cell12)) <=> (~(X!1 = cell39))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3048])).
% 1.32/1.43 tff(3050,plain,
% 1.32/1.43 ((~(cell39 = cell12)) <=> (~(cell39 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3051,axiom,(~(cell39 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49023')).
% 1.32/1.43 tff(3052,plain,
% 1.32/1.43 (~(cell39 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 1.32/1.43 tff(3053,plain,
% 1.32/1.43 (~(X!1 = cell39)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3052, 3049])).
% 1.32/1.43 tff(3054,plain,
% 1.32/1.43 (((~(X!1 = cell39)) | (~(cell89 = cell40))) | (X!1 = cell39)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3055,plain,
% 1.32/1.43 ((~(X!1 = cell39)) | (~(cell89 = cell40))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3054, 3053])).
% 1.32/1.43 tff(3056,plain,
% 1.32/1.43 ((cell12 = cell41) <=> (cell41 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3057,plain,
% 1.32/1.43 ((X!1 = cell41) <=> (cell12 = cell41)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3058,plain,
% 1.32/1.43 ((X!1 = cell41) <=> (cell41 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3057, 3056])).
% 1.32/1.43 tff(3059,plain,
% 1.32/1.43 ((cell41 = cell12) <=> (X!1 = cell41)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3058])).
% 1.32/1.43 tff(3060,plain,
% 1.32/1.43 ((~(cell41 = cell12)) <=> (~(X!1 = cell41))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3059])).
% 1.32/1.43 tff(3061,plain,
% 1.32/1.43 ((~(cell41 = cell12)) <=> (~(cell41 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3062,axiom,(~(cell41 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48891')).
% 1.32/1.43 tff(3063,plain,
% 1.32/1.43 (~(cell41 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 1.32/1.43 tff(3064,plain,
% 1.32/1.43 (~(X!1 = cell41)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3063, 3060])).
% 1.32/1.43 tff(3065,plain,
% 1.32/1.43 (((~(X!1 = cell41)) | (~(cell89 = cell42))) | (X!1 = cell41)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3066,plain,
% 1.32/1.43 ((~(X!1 = cell41)) | (~(cell89 = cell42))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3065, 3064])).
% 1.32/1.43 tff(3067,plain,
% 1.32/1.43 ((cell12 = cell42) <=> (cell42 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3068,plain,
% 1.32/1.43 ((X!1 = cell42) <=> (cell12 = cell42)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3069,plain,
% 1.32/1.43 ((X!1 = cell42) <=> (cell42 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3068, 3067])).
% 1.32/1.43 tff(3070,plain,
% 1.32/1.43 ((cell42 = cell12) <=> (X!1 = cell42)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3069])).
% 1.32/1.43 tff(3071,plain,
% 1.32/1.43 ((~(cell42 = cell12)) <=> (~(X!1 = cell42))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3070])).
% 1.32/1.43 tff(3072,plain,
% 1.32/1.43 ((~(cell42 = cell12)) <=> (~(cell42 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3073,axiom,(~(cell42 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48936')).
% 1.32/1.43 tff(3074,plain,
% 1.32/1.43 (~(cell42 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 1.32/1.43 tff(3075,plain,
% 1.32/1.43 (~(X!1 = cell42)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3074, 3071])).
% 1.32/1.43 tff(3076,plain,
% 1.32/1.43 (((~(X!1 = cell42)) | (~(cell89 = cell43))) | (X!1 = cell42)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3077,plain,
% 1.32/1.43 ((~(X!1 = cell42)) | (~(cell89 = cell43))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3076, 3075])).
% 1.32/1.43 tff(3078,plain,
% 1.32/1.43 ((cell12 = cell43) <=> (cell43 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3079,plain,
% 1.32/1.43 ((X!1 = cell43) <=> (cell12 = cell43)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3080,plain,
% 1.32/1.43 ((X!1 = cell43) <=> (cell43 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3079, 3078])).
% 1.32/1.43 tff(3081,plain,
% 1.32/1.43 ((cell43 = cell12) <=> (X!1 = cell43)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3080])).
% 1.32/1.43 tff(3082,plain,
% 1.32/1.43 ((~(cell43 = cell12)) <=> (~(X!1 = cell43))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3081])).
% 1.32/1.43 tff(3083,plain,
% 1.32/1.43 ((~(cell43 = cell12)) <=> (~(cell43 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3084,axiom,(~(cell43 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48845')).
% 1.32/1.43 tff(3085,plain,
% 1.32/1.43 (~(cell43 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3084, 3083])).
% 1.32/1.43 tff(3086,plain,
% 1.32/1.43 (~(X!1 = cell43)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3085, 3082])).
% 1.32/1.43 tff(3087,plain,
% 1.32/1.43 (((~(X!1 = cell43)) | (~(cell89 = cell44))) | (X!1 = cell43)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3088,plain,
% 1.32/1.43 ((~(X!1 = cell43)) | (~(cell89 = cell44))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3087, 3086])).
% 1.32/1.43 tff(3089,plain,
% 1.32/1.43 ((cell12 = cell44) <=> (cell44 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3090,plain,
% 1.32/1.43 ((X!1 = cell44) <=> (cell12 = cell44)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3091,plain,
% 1.32/1.43 ((X!1 = cell44) <=> (cell44 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3090, 3089])).
% 1.32/1.43 tff(3092,plain,
% 1.32/1.43 ((cell44 = cell12) <=> (X!1 = cell44)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3091])).
% 1.32/1.43 tff(3093,plain,
% 1.32/1.43 ((~(cell44 = cell12)) <=> (~(X!1 = cell44))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3092])).
% 1.32/1.43 tff(3094,plain,
% 1.32/1.43 ((~(cell44 = cell12)) <=> (~(cell44 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3095,axiom,(~(cell44 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48798')).
% 1.32/1.43 tff(3096,plain,
% 1.32/1.43 (~(cell44 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3095, 3094])).
% 1.32/1.43 tff(3097,plain,
% 1.32/1.43 (~(X!1 = cell44)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3096, 3093])).
% 1.32/1.43 tff(3098,plain,
% 1.32/1.43 (((~(X!1 = cell44)) | (~(cell89 = cell45))) | (X!1 = cell44)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3099,plain,
% 1.32/1.43 ((~(X!1 = cell44)) | (~(cell89 = cell45))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3098, 3097])).
% 1.32/1.43 tff(3100,plain,
% 1.32/1.43 ((cell12 = cell45) <=> (cell45 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3101,plain,
% 1.32/1.43 ((X!1 = cell45) <=> (cell12 = cell45)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3102,plain,
% 1.32/1.43 ((X!1 = cell45) <=> (cell45 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3101, 3100])).
% 1.32/1.43 tff(3103,plain,
% 1.32/1.43 ((cell45 = cell12) <=> (X!1 = cell45)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3102])).
% 1.32/1.43 tff(3104,plain,
% 1.32/1.43 ((~(cell45 = cell12)) <=> (~(X!1 = cell45))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3103])).
% 1.32/1.43 tff(3105,plain,
% 1.32/1.43 ((~(cell45 = cell12)) <=> (~(cell45 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3106,axiom,(~(cell45 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48750')).
% 1.32/1.43 tff(3107,plain,
% 1.32/1.43 (~(cell45 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3106, 3105])).
% 1.32/1.43 tff(3108,plain,
% 1.32/1.43 (~(X!1 = cell45)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3107, 3104])).
% 1.32/1.43 tff(3109,plain,
% 1.32/1.43 (((~(X!1 = cell45)) | (~(cell89 = cell46))) | (X!1 = cell45)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3110,plain,
% 1.32/1.43 ((~(X!1 = cell45)) | (~(cell89 = cell46))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3109, 3108])).
% 1.32/1.43 tff(3111,plain,
% 1.32/1.43 ((cell12 = cell46) <=> (cell46 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3112,plain,
% 1.32/1.43 ((X!1 = cell46) <=> (cell12 = cell46)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3113,plain,
% 1.32/1.43 ((X!1 = cell46) <=> (cell46 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3112, 3111])).
% 1.32/1.43 tff(3114,plain,
% 1.32/1.43 ((cell46 = cell12) <=> (X!1 = cell46)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3113])).
% 1.32/1.43 tff(3115,plain,
% 1.32/1.43 ((~(cell46 = cell12)) <=> (~(X!1 = cell46))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3114])).
% 1.32/1.43 tff(3116,plain,
% 1.32/1.43 ((~(cell46 = cell12)) <=> (~(cell46 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3117,axiom,(~(cell46 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48701')).
% 1.32/1.43 tff(3118,plain,
% 1.32/1.43 (~(cell46 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3117, 3116])).
% 1.32/1.43 tff(3119,plain,
% 1.32/1.43 (~(X!1 = cell46)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3118, 3115])).
% 1.32/1.43 tff(3120,plain,
% 1.32/1.43 (((~(X!1 = cell46)) | (~(cell89 = cell47))) | (X!1 = cell46)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3121,plain,
% 1.32/1.43 ((~(X!1 = cell46)) | (~(cell89 = cell47))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3120, 3119])).
% 1.32/1.43 tff(3122,plain,
% 1.32/1.43 ((cell12 = cell47) <=> (cell47 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3123,plain,
% 1.32/1.43 ((X!1 = cell47) <=> (cell12 = cell47)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3124,plain,
% 1.32/1.43 ((X!1 = cell47) <=> (cell47 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3123, 3122])).
% 1.32/1.43 tff(3125,plain,
% 1.32/1.43 ((cell47 = cell12) <=> (X!1 = cell47)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3124])).
% 1.32/1.43 tff(3126,plain,
% 1.32/1.43 ((~(cell47 = cell12)) <=> (~(X!1 = cell47))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3125])).
% 1.32/1.43 tff(3127,plain,
% 1.32/1.43 ((~(cell47 = cell12)) <=> (~(cell47 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3128,axiom,(~(cell47 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48651')).
% 1.32/1.43 tff(3129,plain,
% 1.32/1.43 (~(cell47 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 1.32/1.43 tff(3130,plain,
% 1.32/1.43 (~(X!1 = cell47)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3129, 3126])).
% 1.32/1.43 tff(3131,plain,
% 1.32/1.43 (((~(X!1 = cell47)) | (~(cell89 = cell48))) | (X!1 = cell47)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3132,plain,
% 1.32/1.43 ((~(X!1 = cell47)) | (~(cell89 = cell48))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3131, 3130])).
% 1.32/1.43 tff(3133,plain,
% 1.32/1.43 ((cell12 = cell48) <=> (cell48 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3134,plain,
% 1.32/1.43 ((X!1 = cell48) <=> (cell12 = cell48)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3135,plain,
% 1.32/1.43 ((X!1 = cell48) <=> (cell48 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3134, 3133])).
% 1.32/1.43 tff(3136,plain,
% 1.32/1.43 ((cell48 = cell12) <=> (X!1 = cell48)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3135])).
% 1.32/1.43 tff(3137,plain,
% 1.32/1.43 ((~(cell48 = cell12)) <=> (~(X!1 = cell48))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3136])).
% 1.32/1.43 tff(3138,plain,
% 1.32/1.43 ((~(cell48 = cell12)) <=> (~(cell48 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3139,axiom,(~(cell48 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48600')).
% 1.32/1.43 tff(3140,plain,
% 1.32/1.43 (~(cell48 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3139, 3138])).
% 1.32/1.43 tff(3141,plain,
% 1.32/1.43 (~(X!1 = cell48)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3140, 3137])).
% 1.32/1.43 tff(3142,plain,
% 1.32/1.43 (((~(X!1 = cell48)) | (~(cell89 = cell49))) | (X!1 = cell48)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3143,plain,
% 1.32/1.43 ((~(X!1 = cell48)) | (~(cell89 = cell49))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3142, 3141])).
% 1.32/1.43 tff(3144,plain,
% 1.32/1.43 ((cell12 = cell49) <=> (cell49 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3145,plain,
% 1.32/1.43 ((X!1 = cell49) <=> (cell12 = cell49)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3146,plain,
% 1.32/1.43 ((X!1 = cell49) <=> (cell49 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3145, 3144])).
% 1.32/1.43 tff(3147,plain,
% 1.32/1.43 ((cell49 = cell12) <=> (X!1 = cell49)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3146])).
% 1.32/1.43 tff(3148,plain,
% 1.32/1.43 ((~(cell49 = cell12)) <=> (~(X!1 = cell49))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3147])).
% 1.32/1.43 tff(3149,plain,
% 1.32/1.43 ((~(cell49 = cell12)) <=> (~(cell49 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3150,axiom,(~(cell49 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48548')).
% 1.32/1.43 tff(3151,plain,
% 1.32/1.43 (~(cell49 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3150, 3149])).
% 1.32/1.43 tff(3152,plain,
% 1.32/1.43 (~(X!1 = cell49)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3151, 3148])).
% 1.32/1.43 tff(3153,plain,
% 1.32/1.43 (((~(X!1 = cell49)) | (~(cell89 = cell50))) | (X!1 = cell49)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3154,plain,
% 1.32/1.43 ((~(X!1 = cell49)) | (~(cell89 = cell50))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3153, 3152])).
% 1.32/1.43 tff(3155,plain,
% 1.32/1.43 ((cell12 = cell51) <=> (cell51 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3156,plain,
% 1.32/1.43 ((X!1 = cell51) <=> (cell12 = cell51)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3157,plain,
% 1.32/1.43 ((X!1 = cell51) <=> (cell51 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3156, 3155])).
% 1.32/1.43 tff(3158,plain,
% 1.32/1.43 ((cell51 = cell12) <=> (X!1 = cell51)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3157])).
% 1.32/1.43 tff(3159,plain,
% 1.32/1.43 ((~(cell51 = cell12)) <=> (~(X!1 = cell51))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3158])).
% 1.32/1.43 tff(3160,plain,
% 1.32/1.43 ((~(cell51 = cell12)) <=> (~(cell51 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3161,axiom,(~(cell51 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48386')).
% 1.32/1.43 tff(3162,plain,
% 1.32/1.43 (~(cell51 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 1.32/1.43 tff(3163,plain,
% 1.32/1.43 (~(X!1 = cell51)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3162, 3159])).
% 1.32/1.43 tff(3164,plain,
% 1.32/1.43 (((~(X!1 = cell51)) | (~(cell89 = cell52))) | (X!1 = cell51)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3165,plain,
% 1.32/1.43 ((~(X!1 = cell51)) | (~(cell89 = cell52))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3164, 3163])).
% 1.32/1.43 tff(3166,plain,
% 1.32/1.43 ((cell12 = cell52) <=> (cell52 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3167,plain,
% 1.32/1.43 ((X!1 = cell52) <=> (cell12 = cell52)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3168,plain,
% 1.32/1.43 ((X!1 = cell52) <=> (cell52 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3167, 3166])).
% 1.32/1.43 tff(3169,plain,
% 1.32/1.43 ((cell52 = cell12) <=> (X!1 = cell52)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3168])).
% 1.32/1.43 tff(3170,plain,
% 1.32/1.43 ((~(cell52 = cell12)) <=> (~(X!1 = cell52))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3169])).
% 1.32/1.43 tff(3171,plain,
% 1.32/1.43 ((~(cell52 = cell12)) <=> (~(cell52 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3172,axiom,(~(cell52 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48441')).
% 1.32/1.43 tff(3173,plain,
% 1.32/1.43 (~(cell52 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 1.32/1.43 tff(3174,plain,
% 1.32/1.43 (~(X!1 = cell52)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3173, 3170])).
% 1.32/1.43 tff(3175,plain,
% 1.32/1.43 (((~(X!1 = cell52)) | (~(cell89 = cell53))) | (X!1 = cell52)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3176,plain,
% 1.32/1.43 ((~(X!1 = cell52)) | (~(cell89 = cell53))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3175, 3174])).
% 1.32/1.43 tff(3177,plain,
% 1.32/1.43 ((cell12 = cell53) <=> (cell53 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3178,plain,
% 1.32/1.43 ((X!1 = cell53) <=> (cell12 = cell53)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3179,plain,
% 1.32/1.43 ((X!1 = cell53) <=> (cell53 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3178, 3177])).
% 1.32/1.43 tff(3180,plain,
% 1.32/1.43 ((cell53 = cell12) <=> (X!1 = cell53)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3179])).
% 1.32/1.43 tff(3181,plain,
% 1.32/1.43 ((~(cell53 = cell12)) <=> (~(X!1 = cell53))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3180])).
% 1.32/1.43 tff(3182,plain,
% 1.32/1.43 ((~(cell53 = cell12)) <=> (~(cell53 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3183,axiom,(~(cell53 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48330')).
% 1.32/1.43 tff(3184,plain,
% 1.32/1.43 (~(cell53 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3183, 3182])).
% 1.32/1.43 tff(3185,plain,
% 1.32/1.43 (~(X!1 = cell53)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3184, 3181])).
% 1.32/1.43 tff(3186,plain,
% 1.32/1.43 (((~(X!1 = cell53)) | (~(cell89 = cell54))) | (X!1 = cell53)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3187,plain,
% 1.32/1.43 ((~(X!1 = cell53)) | (~(cell89 = cell54))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3186, 3185])).
% 1.32/1.43 tff(3188,plain,
% 1.32/1.43 ((cell12 = cell54) <=> (cell54 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3189,plain,
% 1.32/1.43 ((X!1 = cell54) <=> (cell12 = cell54)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3190,plain,
% 1.32/1.43 ((X!1 = cell54) <=> (cell54 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3189, 3188])).
% 1.32/1.43 tff(3191,plain,
% 1.32/1.43 ((cell54 = cell12) <=> (X!1 = cell54)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3190])).
% 1.32/1.43 tff(3192,plain,
% 1.32/1.43 ((~(cell54 = cell12)) <=> (~(X!1 = cell54))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3191])).
% 1.32/1.43 tff(3193,plain,
% 1.32/1.43 ((~(cell54 = cell12)) <=> (~(cell54 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3194,axiom,(~(cell54 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48273')).
% 1.32/1.43 tff(3195,plain,
% 1.32/1.43 (~(cell54 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3194, 3193])).
% 1.32/1.43 tff(3196,plain,
% 1.32/1.43 (~(X!1 = cell54)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3195, 3192])).
% 1.32/1.43 tff(3197,plain,
% 1.32/1.43 (((~(X!1 = cell54)) | (~(cell89 = cell55))) | (X!1 = cell54)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3198,plain,
% 1.32/1.43 ((~(X!1 = cell54)) | (~(cell89 = cell55))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3197, 3196])).
% 1.32/1.43 tff(3199,plain,
% 1.32/1.43 ((cell12 = cell55) <=> (cell55 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3200,plain,
% 1.32/1.43 ((X!1 = cell55) <=> (cell12 = cell55)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3201,plain,
% 1.32/1.43 ((X!1 = cell55) <=> (cell55 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3200, 3199])).
% 1.32/1.43 tff(3202,plain,
% 1.32/1.43 ((cell55 = cell12) <=> (X!1 = cell55)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3201])).
% 1.32/1.43 tff(3203,plain,
% 1.32/1.43 ((~(cell55 = cell12)) <=> (~(X!1 = cell55))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3202])).
% 1.32/1.43 tff(3204,plain,
% 1.32/1.43 ((~(cell55 = cell12)) <=> (~(cell55 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3205,axiom,(~(cell55 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48215')).
% 1.32/1.43 tff(3206,plain,
% 1.32/1.43 (~(cell55 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 1.32/1.43 tff(3207,plain,
% 1.32/1.43 (~(X!1 = cell55)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3206, 3203])).
% 1.32/1.43 tff(3208,plain,
% 1.32/1.43 (((~(X!1 = cell55)) | (~(cell89 = cell56))) | (X!1 = cell55)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3209,plain,
% 1.32/1.43 ((~(X!1 = cell55)) | (~(cell89 = cell56))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3208, 3207])).
% 1.32/1.43 tff(3210,plain,
% 1.32/1.43 ((cell12 = cell56) <=> (cell56 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3211,plain,
% 1.32/1.43 ((X!1 = cell56) <=> (cell12 = cell56)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3212,plain,
% 1.32/1.43 ((X!1 = cell56) <=> (cell56 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3211, 3210])).
% 1.32/1.43 tff(3213,plain,
% 1.32/1.43 ((cell56 = cell12) <=> (X!1 = cell56)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3212])).
% 1.32/1.43 tff(3214,plain,
% 1.32/1.43 ((~(cell56 = cell12)) <=> (~(X!1 = cell56))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3213])).
% 1.32/1.43 tff(3215,plain,
% 1.32/1.43 ((~(cell56 = cell12)) <=> (~(cell56 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3216,axiom,(~(cell56 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48156')).
% 1.32/1.43 tff(3217,plain,
% 1.32/1.43 (~(cell56 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 1.32/1.43 tff(3218,plain,
% 1.32/1.43 (~(X!1 = cell56)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3217, 3214])).
% 1.32/1.43 tff(3219,plain,
% 1.32/1.43 (((~(X!1 = cell56)) | (~(cell89 = cell57))) | (X!1 = cell56)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3220,plain,
% 1.32/1.43 ((~(X!1 = cell56)) | (~(cell89 = cell57))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3219, 3218])).
% 1.32/1.43 tff(3221,plain,
% 1.32/1.43 ((cell12 = cell57) <=> (cell57 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3222,plain,
% 1.32/1.43 ((X!1 = cell57) <=> (cell12 = cell57)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3223,plain,
% 1.32/1.43 ((X!1 = cell57) <=> (cell57 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3222, 3221])).
% 1.32/1.43 tff(3224,plain,
% 1.32/1.43 ((cell57 = cell12) <=> (X!1 = cell57)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3223])).
% 1.32/1.43 tff(3225,plain,
% 1.32/1.43 ((~(cell57 = cell12)) <=> (~(X!1 = cell57))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3224])).
% 1.32/1.43 tff(3226,plain,
% 1.32/1.43 ((~(cell57 = cell12)) <=> (~(cell57 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3227,axiom,(~(cell57 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48096')).
% 1.32/1.43 tff(3228,plain,
% 1.32/1.43 (~(cell57 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 1.32/1.43 tff(3229,plain,
% 1.32/1.43 (~(X!1 = cell57)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3228, 3225])).
% 1.32/1.43 tff(3230,plain,
% 1.32/1.43 (((~(X!1 = cell57)) | (~(cell89 = cell58))) | (X!1 = cell57)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3231,plain,
% 1.32/1.43 ((~(X!1 = cell57)) | (~(cell89 = cell58))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3230, 3229])).
% 1.32/1.43 tff(3232,plain,
% 1.32/1.43 ((cell12 = cell58) <=> (cell58 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3233,plain,
% 1.32/1.43 ((X!1 = cell58) <=> (cell12 = cell58)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3234,plain,
% 1.32/1.43 ((X!1 = cell58) <=> (cell58 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3233, 3232])).
% 1.32/1.43 tff(3235,plain,
% 1.32/1.43 ((cell58 = cell12) <=> (X!1 = cell58)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3234])).
% 1.32/1.43 tff(3236,plain,
% 1.32/1.43 ((~(cell58 = cell12)) <=> (~(X!1 = cell58))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3235])).
% 1.32/1.43 tff(3237,plain,
% 1.32/1.43 ((~(cell58 = cell12)) <=> (~(cell58 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3238,axiom,(~(cell58 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48035')).
% 1.32/1.43 tff(3239,plain,
% 1.32/1.43 (~(cell58 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3238, 3237])).
% 1.32/1.43 tff(3240,plain,
% 1.32/1.43 (~(X!1 = cell58)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3239, 3236])).
% 1.32/1.43 tff(3241,plain,
% 1.32/1.43 (((~(X!1 = cell58)) | (~(cell89 = cell59))) | (X!1 = cell58)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3242,plain,
% 1.32/1.43 ((~(X!1 = cell58)) | (~(cell89 = cell59))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3241, 3240])).
% 1.32/1.43 tff(3243,plain,
% 1.32/1.43 ((cell12 = cell59) <=> (cell59 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3244,plain,
% 1.32/1.43 ((X!1 = cell59) <=> (cell12 = cell59)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3245,plain,
% 1.32/1.43 ((X!1 = cell59) <=> (cell59 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3244, 3243])).
% 1.32/1.43 tff(3246,plain,
% 1.32/1.43 ((cell59 = cell12) <=> (X!1 = cell59)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3245])).
% 1.32/1.43 tff(3247,plain,
% 1.32/1.43 ((~(cell59 = cell12)) <=> (~(X!1 = cell59))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3246])).
% 1.32/1.43 tff(3248,plain,
% 1.32/1.43 ((~(cell59 = cell12)) <=> (~(cell59 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3249,axiom,(~(cell59 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47973')).
% 1.32/1.43 tff(3250,plain,
% 1.32/1.43 (~(cell59 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3249, 3248])).
% 1.32/1.43 tff(3251,plain,
% 1.32/1.43 (~(X!1 = cell59)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3250, 3247])).
% 1.32/1.43 tff(3252,plain,
% 1.32/1.43 (((~(X!1 = cell59)) | (~(cell89 = cell60))) | (X!1 = cell59)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3253,plain,
% 1.32/1.43 ((~(X!1 = cell59)) | (~(cell89 = cell60))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3252, 3251])).
% 1.32/1.43 tff(3254,plain,
% 1.32/1.43 ((cell12 = cell61) <=> (cell61 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3255,plain,
% 1.32/1.43 ((X!1 = cell61) <=> (cell12 = cell61)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3256,plain,
% 1.32/1.43 ((X!1 = cell61) <=> (cell61 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3255, 3254])).
% 1.32/1.43 tff(3257,plain,
% 1.32/1.43 ((cell61 = cell12) <=> (X!1 = cell61)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3256])).
% 1.32/1.43 tff(3258,plain,
% 1.32/1.43 ((~(cell61 = cell12)) <=> (~(X!1 = cell61))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3257])).
% 1.32/1.43 tff(3259,plain,
% 1.32/1.43 ((~(cell61 = cell12)) <=> (~(cell61 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3260,axiom,(~(cell61 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47781')).
% 1.32/1.43 tff(3261,plain,
% 1.32/1.43 (~(cell61 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 1.32/1.43 tff(3262,plain,
% 1.32/1.43 (~(X!1 = cell61)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3261, 3258])).
% 1.32/1.43 tff(3263,plain,
% 1.32/1.43 (((~(X!1 = cell61)) | (~(cell89 = cell62))) | (X!1 = cell61)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3264,plain,
% 1.32/1.43 ((~(X!1 = cell61)) | (~(cell89 = cell62))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3263, 3262])).
% 1.32/1.43 tff(3265,plain,
% 1.32/1.43 ((cell12 = cell62) <=> (cell62 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3266,plain,
% 1.32/1.43 ((X!1 = cell62) <=> (cell12 = cell62)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3267,plain,
% 1.32/1.43 ((X!1 = cell62) <=> (cell62 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3266, 3265])).
% 1.32/1.43 tff(3268,plain,
% 1.32/1.43 ((cell62 = cell12) <=> (X!1 = cell62)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3267])).
% 1.32/1.43 tff(3269,plain,
% 1.32/1.43 ((~(cell62 = cell12)) <=> (~(X!1 = cell62))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3268])).
% 1.32/1.43 tff(3270,plain,
% 1.32/1.43 ((~(cell62 = cell12)) <=> (~(cell62 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3271,axiom,(~(cell62 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47846')).
% 1.32/1.43 tff(3272,plain,
% 1.32/1.43 (~(cell62 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3271, 3270])).
% 1.32/1.43 tff(3273,plain,
% 1.32/1.43 (~(X!1 = cell62)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3272, 3269])).
% 1.32/1.43 tff(3274,plain,
% 1.32/1.43 (((~(X!1 = cell62)) | (~(cell89 = cell63))) | (X!1 = cell62)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3275,plain,
% 1.32/1.43 ((~(X!1 = cell62)) | (~(cell89 = cell63))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3274, 3273])).
% 1.32/1.43 tff(3276,plain,
% 1.32/1.43 ((cell12 = cell63) <=> (cell63 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3277,plain,
% 1.32/1.43 ((X!1 = cell63) <=> (cell12 = cell63)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3278,plain,
% 1.32/1.43 ((X!1 = cell63) <=> (cell63 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3277, 3276])).
% 1.32/1.43 tff(3279,plain,
% 1.32/1.43 ((cell63 = cell12) <=> (X!1 = cell63)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3278])).
% 1.32/1.43 tff(3280,plain,
% 1.32/1.43 ((~(cell63 = cell12)) <=> (~(X!1 = cell63))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3279])).
% 1.32/1.43 tff(3281,plain,
% 1.32/1.43 ((~(cell63 = cell12)) <=> (~(cell63 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3282,axiom,(~(cell63 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47715')).
% 1.32/1.43 tff(3283,plain,
% 1.32/1.43 (~(cell63 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 1.32/1.43 tff(3284,plain,
% 1.32/1.43 (~(X!1 = cell63)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3283, 3280])).
% 1.32/1.43 tff(3285,plain,
% 1.32/1.43 (((~(X!1 = cell63)) | (~(cell89 = cell64))) | (X!1 = cell63)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3286,plain,
% 1.32/1.43 ((~(X!1 = cell63)) | (~(cell89 = cell64))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3285, 3284])).
% 1.32/1.43 tff(3287,plain,
% 1.32/1.43 ((cell12 = cell64) <=> (cell64 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3288,plain,
% 1.32/1.43 ((X!1 = cell64) <=> (cell12 = cell64)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3289,plain,
% 1.32/1.43 ((X!1 = cell64) <=> (cell64 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3288, 3287])).
% 1.32/1.43 tff(3290,plain,
% 1.32/1.43 ((cell64 = cell12) <=> (X!1 = cell64)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3289])).
% 1.32/1.43 tff(3291,plain,
% 1.32/1.43 ((~(cell64 = cell12)) <=> (~(X!1 = cell64))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3290])).
% 1.32/1.43 tff(3292,plain,
% 1.32/1.43 ((~(cell64 = cell12)) <=> (~(cell64 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3293,axiom,(~(cell64 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47648')).
% 1.32/1.43 tff(3294,plain,
% 1.32/1.43 (~(cell64 = cell12)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3293, 3292])).
% 1.32/1.43 tff(3295,plain,
% 1.32/1.43 (~(X!1 = cell64)),
% 1.32/1.43 inference(modus_ponens,[status(thm)],[3294, 3291])).
% 1.32/1.43 tff(3296,plain,
% 1.32/1.43 (((~(X!1 = cell64)) | (~(cell89 = cell65))) | (X!1 = cell64)),
% 1.32/1.43 inference(tautology,[status(thm)],[])).
% 1.32/1.43 tff(3297,plain,
% 1.32/1.43 ((~(X!1 = cell64)) | (~(cell89 = cell65))),
% 1.32/1.43 inference(unit_resolution,[status(thm)],[3296, 3295])).
% 1.32/1.43 tff(3298,plain,
% 1.32/1.43 ((cell12 = cell65) <=> (cell65 = cell12)),
% 1.32/1.43 inference(commutativity,[status(thm)],[])).
% 1.32/1.43 tff(3299,plain,
% 1.32/1.43 ((X!1 = cell65) <=> (cell12 = cell65)),
% 1.32/1.43 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.43 tff(3300,plain,
% 1.32/1.43 ((X!1 = cell65) <=> (cell65 = cell12)),
% 1.32/1.43 inference(transitivity,[status(thm)],[3299, 3298])).
% 1.32/1.43 tff(3301,plain,
% 1.32/1.43 ((cell65 = cell12) <=> (X!1 = cell65)),
% 1.32/1.43 inference(symmetry,[status(thm)],[3300])).
% 1.32/1.43 tff(3302,plain,
% 1.32/1.43 ((~(cell65 = cell12)) <=> (~(X!1 = cell65))),
% 1.32/1.43 inference(monotonicity,[status(thm)],[3301])).
% 1.32/1.43 tff(3303,plain,
% 1.32/1.43 ((~(cell65 = cell12)) <=> (~(cell65 = cell12))),
% 1.32/1.43 inference(rewrite,[status(thm)],[])).
% 1.32/1.43 tff(3304,axiom,(~(cell65 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47580')).
% 1.32/1.44 tff(3305,plain,
% 1.32/1.44 (~(cell65 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 1.32/1.44 tff(3306,plain,
% 1.32/1.44 (~(X!1 = cell65)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3305, 3302])).
% 1.32/1.44 tff(3307,plain,
% 1.32/1.44 (((~(X!1 = cell65)) | (~(cell89 = cell66))) | (X!1 = cell65)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3308,plain,
% 1.32/1.44 ((~(X!1 = cell65)) | (~(cell89 = cell66))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3307, 3306])).
% 1.32/1.44 tff(3309,plain,
% 1.32/1.44 ((cell12 = cell66) <=> (cell66 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3310,plain,
% 1.32/1.44 ((X!1 = cell66) <=> (cell12 = cell66)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3311,plain,
% 1.32/1.44 ((X!1 = cell66) <=> (cell66 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3310, 3309])).
% 1.32/1.44 tff(3312,plain,
% 1.32/1.44 ((cell66 = cell12) <=> (X!1 = cell66)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3311])).
% 1.32/1.44 tff(3313,plain,
% 1.32/1.44 ((~(cell66 = cell12)) <=> (~(X!1 = cell66))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3312])).
% 1.32/1.44 tff(3314,plain,
% 1.32/1.44 ((~(cell66 = cell12)) <=> (~(cell66 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3315,axiom,(~(cell66 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47511')).
% 1.32/1.44 tff(3316,plain,
% 1.32/1.44 (~(cell66 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 1.32/1.44 tff(3317,plain,
% 1.32/1.44 (~(X!1 = cell66)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3316, 3313])).
% 1.32/1.44 tff(3318,plain,
% 1.32/1.44 (((~(X!1 = cell66)) | (~(cell89 = cell67))) | (X!1 = cell66)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3319,plain,
% 1.32/1.44 ((~(X!1 = cell66)) | (~(cell89 = cell67))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3318, 3317])).
% 1.32/1.44 tff(3320,plain,
% 1.32/1.44 ((cell12 = cell67) <=> (cell67 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3321,plain,
% 1.32/1.44 ((X!1 = cell67) <=> (cell12 = cell67)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3322,plain,
% 1.32/1.44 ((X!1 = cell67) <=> (cell67 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3321, 3320])).
% 1.32/1.44 tff(3323,plain,
% 1.32/1.44 ((cell67 = cell12) <=> (X!1 = cell67)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3322])).
% 1.32/1.44 tff(3324,plain,
% 1.32/1.44 ((~(cell67 = cell12)) <=> (~(X!1 = cell67))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3323])).
% 1.32/1.44 tff(3325,plain,
% 1.32/1.44 ((~(cell67 = cell12)) <=> (~(cell67 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3326,axiom,(~(cell67 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47441')).
% 1.32/1.44 tff(3327,plain,
% 1.32/1.44 (~(cell67 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3326, 3325])).
% 1.32/1.44 tff(3328,plain,
% 1.32/1.44 (~(X!1 = cell67)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3327, 3324])).
% 1.32/1.44 tff(3329,plain,
% 1.32/1.44 (((~(X!1 = cell67)) | (~(cell89 = cell68))) | (X!1 = cell67)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3330,plain,
% 1.32/1.44 ((~(X!1 = cell67)) | (~(cell89 = cell68))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3329, 3328])).
% 1.32/1.44 tff(3331,plain,
% 1.32/1.44 ((cell12 = cell68) <=> (cell68 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3332,plain,
% 1.32/1.44 ((X!1 = cell68) <=> (cell12 = cell68)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3333,plain,
% 1.32/1.44 ((X!1 = cell68) <=> (cell68 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3332, 3331])).
% 1.32/1.44 tff(3334,plain,
% 1.32/1.44 ((cell68 = cell12) <=> (X!1 = cell68)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3333])).
% 1.32/1.44 tff(3335,plain,
% 1.32/1.44 ((~(cell68 = cell12)) <=> (~(X!1 = cell68))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3334])).
% 1.32/1.44 tff(3336,plain,
% 1.32/1.44 ((~(cell68 = cell12)) <=> (~(cell68 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3337,axiom,(~(cell68 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47370')).
% 1.32/1.44 tff(3338,plain,
% 1.32/1.44 (~(cell68 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 1.32/1.44 tff(3339,plain,
% 1.32/1.44 (~(X!1 = cell68)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3338, 3335])).
% 1.32/1.44 tff(3340,plain,
% 1.32/1.44 (((~(X!1 = cell68)) | (~(cell89 = cell69))) | (X!1 = cell68)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3341,plain,
% 1.32/1.44 ((~(X!1 = cell68)) | (~(cell89 = cell69))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3340, 3339])).
% 1.32/1.44 tff(3342,plain,
% 1.32/1.44 ((cell12 = cell69) <=> (cell69 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3343,plain,
% 1.32/1.44 ((X!1 = cell69) <=> (cell12 = cell69)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3344,plain,
% 1.32/1.44 ((X!1 = cell69) <=> (cell69 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3343, 3342])).
% 1.32/1.44 tff(3345,plain,
% 1.32/1.44 ((cell69 = cell12) <=> (X!1 = cell69)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3344])).
% 1.32/1.44 tff(3346,plain,
% 1.32/1.44 ((~(cell69 = cell12)) <=> (~(X!1 = cell69))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3345])).
% 1.32/1.44 tff(3347,plain,
% 1.32/1.44 (~(X!1 = cell69)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[1178, 3346])).
% 1.32/1.44 tff(3348,plain,
% 1.32/1.44 (((~(X!1 = cell69)) | (~(cell89 = cell70))) | (X!1 = cell69)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3349,plain,
% 1.32/1.44 ((~(X!1 = cell69)) | (~(cell89 = cell70))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3348, 3347])).
% 1.32/1.44 tff(3350,plain,
% 1.32/1.44 ((cell12 = cell71) <=> (cell71 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3351,plain,
% 1.32/1.44 ((X!1 = cell71) <=> (cell12 = cell71)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3352,plain,
% 1.32/1.44 ((X!1 = cell71) <=> (cell71 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3351, 3350])).
% 1.32/1.44 tff(3353,plain,
% 1.32/1.44 ((cell71 = cell12) <=> (X!1 = cell71)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3352])).
% 1.32/1.44 tff(3354,plain,
% 1.32/1.44 ((~(cell71 = cell12)) <=> (~(X!1 = cell71))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3353])).
% 1.32/1.44 tff(3355,plain,
% 1.32/1.44 ((~(cell71 = cell12)) <=> (~(cell71 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3356,axiom,(~(cell71 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47076')).
% 1.32/1.44 tff(3357,plain,
% 1.32/1.44 (~(cell71 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3356, 3355])).
% 1.32/1.44 tff(3358,plain,
% 1.32/1.44 (~(X!1 = cell71)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3357, 3354])).
% 1.32/1.44 tff(3359,plain,
% 1.32/1.44 (((~(X!1 = cell71)) | (~(cell89 = cell72))) | (X!1 = cell71)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3360,plain,
% 1.32/1.44 ((~(X!1 = cell71)) | (~(cell89 = cell72))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3359, 3358])).
% 1.32/1.44 tff(3361,plain,
% 1.32/1.44 ((cell12 = cell72) <=> (cell72 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3362,plain,
% 1.32/1.44 ((X!1 = cell72) <=> (cell12 = cell72)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3363,plain,
% 1.32/1.44 ((X!1 = cell72) <=> (cell72 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3362, 3361])).
% 1.32/1.44 tff(3364,plain,
% 1.32/1.44 ((cell72 = cell12) <=> (X!1 = cell72)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3363])).
% 1.32/1.44 tff(3365,plain,
% 1.32/1.44 ((~(cell72 = cell12)) <=> (~(X!1 = cell72))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3364])).
% 1.32/1.44 tff(3366,plain,
% 1.32/1.44 ((~(cell72 = cell12)) <=> (~(cell72 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3367,axiom,(~(cell72 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47151')).
% 1.32/1.44 tff(3368,plain,
% 1.32/1.44 (~(cell72 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3367, 3366])).
% 1.32/1.44 tff(3369,plain,
% 1.32/1.44 (~(X!1 = cell72)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3368, 3365])).
% 1.32/1.44 tff(3370,plain,
% 1.32/1.44 (((~(X!1 = cell72)) | (~(cell89 = cell73))) | (X!1 = cell72)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3371,plain,
% 1.32/1.44 ((~(X!1 = cell72)) | (~(cell89 = cell73))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3370, 3369])).
% 1.32/1.44 tff(3372,plain,
% 1.32/1.44 ((cell12 = cell73) <=> (cell73 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3373,plain,
% 1.32/1.44 ((X!1 = cell73) <=> (cell12 = cell73)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3374,plain,
% 1.32/1.44 ((X!1 = cell73) <=> (cell73 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3373, 3372])).
% 1.32/1.44 tff(3375,plain,
% 1.32/1.44 ((cell73 = cell12) <=> (X!1 = cell73)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3374])).
% 1.32/1.44 tff(3376,plain,
% 1.32/1.44 ((~(cell73 = cell12)) <=> (~(X!1 = cell73))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3375])).
% 1.32/1.44 tff(3377,plain,
% 1.32/1.44 ((~(cell73 = cell12)) <=> (~(cell73 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3378,axiom,(~(cell73 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47000')).
% 1.32/1.44 tff(3379,plain,
% 1.32/1.44 (~(cell73 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3378, 3377])).
% 1.32/1.44 tff(3380,plain,
% 1.32/1.44 (~(X!1 = cell73)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3379, 3376])).
% 1.32/1.44 tff(3381,plain,
% 1.32/1.44 (((~(X!1 = cell73)) | (~(cell89 = cell74))) | (X!1 = cell73)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3382,plain,
% 1.32/1.44 ((~(X!1 = cell73)) | (~(cell89 = cell74))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3381, 3380])).
% 1.32/1.44 tff(3383,plain,
% 1.32/1.44 ((cell12 = cell74) <=> (cell74 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3384,plain,
% 1.32/1.44 ((X!1 = cell74) <=> (cell12 = cell74)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3385,plain,
% 1.32/1.44 ((X!1 = cell74) <=> (cell74 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3384, 3383])).
% 1.32/1.44 tff(3386,plain,
% 1.32/1.44 ((cell74 = cell12) <=> (X!1 = cell74)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3385])).
% 1.32/1.44 tff(3387,plain,
% 1.32/1.44 ((~(cell74 = cell12)) <=> (~(X!1 = cell74))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3386])).
% 1.32/1.44 tff(3388,plain,
% 1.32/1.44 ((~(cell74 = cell12)) <=> (~(cell74 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3389,axiom,(~(cell74 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46923')).
% 1.32/1.44 tff(3390,plain,
% 1.32/1.44 (~(cell74 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3389, 3388])).
% 1.32/1.44 tff(3391,plain,
% 1.32/1.44 (~(X!1 = cell74)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3390, 3387])).
% 1.32/1.44 tff(3392,plain,
% 1.32/1.44 (((~(X!1 = cell74)) | (~(cell89 = cell75))) | (X!1 = cell74)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3393,plain,
% 1.32/1.44 ((~(X!1 = cell74)) | (~(cell89 = cell75))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3392, 3391])).
% 1.32/1.44 tff(3394,plain,
% 1.32/1.44 ((cell12 = cell75) <=> (cell75 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3395,plain,
% 1.32/1.44 ((X!1 = cell75) <=> (cell12 = cell75)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3396,plain,
% 1.32/1.44 ((X!1 = cell75) <=> (cell75 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3395, 3394])).
% 1.32/1.44 tff(3397,plain,
% 1.32/1.44 ((cell75 = cell12) <=> (X!1 = cell75)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3396])).
% 1.32/1.44 tff(3398,plain,
% 1.32/1.44 ((~(cell75 = cell12)) <=> (~(X!1 = cell75))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3397])).
% 1.32/1.44 tff(3399,plain,
% 1.32/1.44 ((~(cell75 = cell12)) <=> (~(cell75 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3400,axiom,(~(cell75 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46845')).
% 1.32/1.44 tff(3401,plain,
% 1.32/1.44 (~(cell75 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3400, 3399])).
% 1.32/1.44 tff(3402,plain,
% 1.32/1.44 (~(X!1 = cell75)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3401, 3398])).
% 1.32/1.44 tff(3403,plain,
% 1.32/1.44 (((~(X!1 = cell75)) | (~(cell89 = cell76))) | (X!1 = cell75)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3404,plain,
% 1.32/1.44 ((~(X!1 = cell75)) | (~(cell89 = cell76))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3403, 3402])).
% 1.32/1.44 tff(3405,plain,
% 1.32/1.44 ((cell12 = cell76) <=> (cell76 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3406,plain,
% 1.32/1.44 ((X!1 = cell76) <=> (cell12 = cell76)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3407,plain,
% 1.32/1.44 ((X!1 = cell76) <=> (cell76 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3406, 3405])).
% 1.32/1.44 tff(3408,plain,
% 1.32/1.44 ((cell76 = cell12) <=> (X!1 = cell76)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3407])).
% 1.32/1.44 tff(3409,plain,
% 1.32/1.44 ((~(cell76 = cell12)) <=> (~(X!1 = cell76))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3408])).
% 1.32/1.44 tff(3410,plain,
% 1.32/1.44 ((~(cell76 = cell12)) <=> (~(cell76 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3411,axiom,(~(cell76 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46766')).
% 1.32/1.44 tff(3412,plain,
% 1.32/1.44 (~(cell76 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 1.32/1.44 tff(3413,plain,
% 1.32/1.44 (~(X!1 = cell76)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3412, 3409])).
% 1.32/1.44 tff(3414,plain,
% 1.32/1.44 (((~(X!1 = cell76)) | (~(cell89 = cell77))) | (X!1 = cell76)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3415,plain,
% 1.32/1.44 ((~(X!1 = cell76)) | (~(cell89 = cell77))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3414, 3413])).
% 1.32/1.44 tff(3416,plain,
% 1.32/1.44 ((cell12 = cell77) <=> (cell77 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3417,plain,
% 1.32/1.44 ((X!1 = cell77) <=> (cell12 = cell77)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3418,plain,
% 1.32/1.44 ((X!1 = cell77) <=> (cell77 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3417, 3416])).
% 1.32/1.44 tff(3419,plain,
% 1.32/1.44 ((cell77 = cell12) <=> (X!1 = cell77)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3418])).
% 1.32/1.44 tff(3420,plain,
% 1.32/1.44 ((~(cell77 = cell12)) <=> (~(X!1 = cell77))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3419])).
% 1.32/1.44 tff(3421,plain,
% 1.32/1.44 ((~(cell77 = cell12)) <=> (~(cell77 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3422,axiom,(~(cell77 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46686')).
% 1.32/1.44 tff(3423,plain,
% 1.32/1.44 (~(cell77 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 1.32/1.44 tff(3424,plain,
% 1.32/1.44 (~(X!1 = cell77)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3423, 3420])).
% 1.32/1.44 tff(3425,plain,
% 1.32/1.44 (((~(X!1 = cell77)) | (~(cell89 = cell78))) | (X!1 = cell77)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3426,plain,
% 1.32/1.44 ((~(X!1 = cell77)) | (~(cell89 = cell78))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3425, 3424])).
% 1.32/1.44 tff(3427,plain,
% 1.32/1.44 ((cell12 = cell79) <=> (cell79 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3428,plain,
% 1.32/1.44 ((X!1 = cell79) <=> (cell12 = cell79)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3429,plain,
% 1.32/1.44 ((X!1 = cell79) <=> (cell79 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3428, 3427])).
% 1.32/1.44 tff(3430,plain,
% 1.32/1.44 ((cell79 = cell12) <=> (X!1 = cell79)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3429])).
% 1.32/1.44 tff(3431,plain,
% 1.32/1.44 ((~(cell79 = cell12)) <=> (~(X!1 = cell79))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3430])).
% 1.32/1.44 tff(3432,plain,
% 1.32/1.44 (~(X!1 = cell79)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[139, 3431])).
% 1.32/1.44 tff(3433,plain,
% 1.32/1.44 (((~(X!1 = cell79)) | (~(cell89 = cell80))) | (X!1 = cell79)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3434,plain,
% 1.32/1.44 ((~(X!1 = cell79)) | (~(cell89 = cell80))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3433, 3432])).
% 1.32/1.44 tff(3435,plain,
% 1.32/1.44 ((cell12 = cell81) <=> (cell81 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3436,plain,
% 1.32/1.44 ((X!1 = cell81) <=> (cell12 = cell81)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3437,plain,
% 1.32/1.44 ((X!1 = cell81) <=> (cell81 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3436, 3435])).
% 1.32/1.44 tff(3438,plain,
% 1.32/1.44 ((cell81 = cell12) <=> (X!1 = cell81)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3437])).
% 1.32/1.44 tff(3439,plain,
% 1.32/1.44 ((~(cell81 = cell12)) <=> (~(X!1 = cell81))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3438])).
% 1.32/1.44 tff(3440,plain,
% 1.32/1.44 ((~(cell81 = cell12)) <=> (~(cell81 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3441,axiom,(~(cell81 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46356')).
% 1.32/1.44 tff(3442,plain,
% 1.32/1.44 (~(cell81 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3441, 3440])).
% 1.32/1.44 tff(3443,plain,
% 1.32/1.44 (~(X!1 = cell81)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3442, 3439])).
% 1.32/1.44 tff(3444,plain,
% 1.32/1.44 (((~(X!1 = cell81)) | (~(cell89 = cell82))) | (X!1 = cell81)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3445,plain,
% 1.32/1.44 ((~(X!1 = cell81)) | (~(cell89 = cell82))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3444, 3443])).
% 1.32/1.44 tff(3446,plain,
% 1.32/1.44 ((cell12 = cell82) <=> (cell82 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3447,plain,
% 1.32/1.44 ((X!1 = cell82) <=> (cell12 = cell82)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3448,plain,
% 1.32/1.44 ((X!1 = cell82) <=> (cell82 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3447, 3446])).
% 1.32/1.44 tff(3449,plain,
% 1.32/1.44 ((cell82 = cell12) <=> (X!1 = cell82)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3448])).
% 1.32/1.44 tff(3450,plain,
% 1.32/1.44 ((~(cell82 = cell12)) <=> (~(X!1 = cell82))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3449])).
% 1.32/1.44 tff(3451,plain,
% 1.32/1.44 ((~(cell82 = cell12)) <=> (~(cell82 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3452,axiom,(~(cell82 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46440')).
% 1.32/1.44 tff(3453,plain,
% 1.32/1.44 (~(cell82 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 1.32/1.44 tff(3454,plain,
% 1.32/1.44 (~(X!1 = cell82)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3453, 3450])).
% 1.32/1.44 tff(3455,plain,
% 1.32/1.44 (((~(X!1 = cell82)) | (~(cell89 = cell83))) | (X!1 = cell82)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3456,plain,
% 1.32/1.44 ((~(X!1 = cell82)) | (~(cell89 = cell83))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3455, 3454])).
% 1.32/1.44 tff(3457,plain,
% 1.32/1.44 ((cell12 = cell83) <=> (cell83 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3458,plain,
% 1.32/1.44 ((X!1 = cell83) <=> (cell12 = cell83)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3459,plain,
% 1.32/1.44 ((X!1 = cell83) <=> (cell83 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3458, 3457])).
% 1.32/1.44 tff(3460,plain,
% 1.32/1.44 ((cell83 = cell12) <=> (X!1 = cell83)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3459])).
% 1.32/1.44 tff(3461,plain,
% 1.32/1.44 ((~(cell83 = cell12)) <=> (~(X!1 = cell83))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3460])).
% 1.32/1.44 tff(3462,plain,
% 1.32/1.44 ((~(cell83 = cell12)) <=> (~(cell83 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3463,axiom,(~(cell83 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46271')).
% 1.32/1.44 tff(3464,plain,
% 1.32/1.44 (~(cell83 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 1.32/1.44 tff(3465,plain,
% 1.32/1.44 (~(X!1 = cell83)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3464, 3461])).
% 1.32/1.44 tff(3466,plain,
% 1.32/1.44 (((~(X!1 = cell83)) | (~(cell89 = cell84))) | (X!1 = cell83)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3467,plain,
% 1.32/1.44 ((~(X!1 = cell83)) | (~(cell89 = cell84))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3466, 3465])).
% 1.32/1.44 tff(3468,plain,
% 1.32/1.44 ((cell12 = cell84) <=> (cell84 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3469,plain,
% 1.32/1.44 ((X!1 = cell84) <=> (cell12 = cell84)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3470,plain,
% 1.32/1.44 ((X!1 = cell84) <=> (cell84 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3469, 3468])).
% 1.32/1.44 tff(3471,plain,
% 1.32/1.44 ((cell84 = cell12) <=> (X!1 = cell84)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3470])).
% 1.32/1.44 tff(3472,plain,
% 1.32/1.44 ((~(cell84 = cell12)) <=> (~(X!1 = cell84))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3471])).
% 1.32/1.44 tff(3473,plain,
% 1.32/1.44 ((~(cell84 = cell12)) <=> (~(cell84 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3474,axiom,(~(cell84 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46185')).
% 1.32/1.44 tff(3475,plain,
% 1.32/1.44 (~(cell84 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3474, 3473])).
% 1.32/1.44 tff(3476,plain,
% 1.32/1.44 (~(X!1 = cell84)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3475, 3472])).
% 1.32/1.44 tff(3477,plain,
% 1.32/1.44 (((~(X!1 = cell84)) | (~(cell89 = cell85))) | (X!1 = cell84)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3478,plain,
% 1.32/1.44 ((~(X!1 = cell84)) | (~(cell89 = cell85))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3477, 3476])).
% 1.32/1.44 tff(3479,plain,
% 1.32/1.44 ((cell12 = cell85) <=> (cell85 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3480,plain,
% 1.32/1.44 ((X!1 = cell85) <=> (cell12 = cell85)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3481,plain,
% 1.32/1.44 ((X!1 = cell85) <=> (cell85 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3480, 3479])).
% 1.32/1.44 tff(3482,plain,
% 1.32/1.44 ((cell85 = cell12) <=> (X!1 = cell85)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3481])).
% 1.32/1.44 tff(3483,plain,
% 1.32/1.44 ((~(cell85 = cell12)) <=> (~(X!1 = cell85))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3482])).
% 1.32/1.44 tff(3484,plain,
% 1.32/1.44 ((~(cell85 = cell12)) <=> (~(cell85 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3485,axiom,(~(cell85 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46098')).
% 1.32/1.44 tff(3486,plain,
% 1.32/1.44 (~(cell85 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3485, 3484])).
% 1.32/1.44 tff(3487,plain,
% 1.32/1.44 (~(X!1 = cell85)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3486, 3483])).
% 1.32/1.44 tff(3488,plain,
% 1.32/1.44 (((~(X!1 = cell85)) | (~(cell89 = cell86))) | (X!1 = cell85)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3489,plain,
% 1.32/1.44 ((~(X!1 = cell85)) | (~(cell89 = cell86))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3488, 3487])).
% 1.32/1.44 tff(3490,plain,
% 1.32/1.44 ((cell12 = cell86) <=> (cell86 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3491,plain,
% 1.32/1.44 ((X!1 = cell86) <=> (cell12 = cell86)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3492,plain,
% 1.32/1.44 ((X!1 = cell86) <=> (cell86 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3491, 3490])).
% 1.32/1.44 tff(3493,plain,
% 1.32/1.44 ((cell86 = cell12) <=> (X!1 = cell86)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3492])).
% 1.32/1.44 tff(3494,plain,
% 1.32/1.44 ((~(cell86 = cell12)) <=> (~(X!1 = cell86))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3493])).
% 1.32/1.44 tff(3495,plain,
% 1.32/1.44 ((~(cell86 = cell12)) <=> (~(cell86 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3496,axiom,(~(cell86 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46010')).
% 1.32/1.44 tff(3497,plain,
% 1.32/1.44 (~(cell86 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3496, 3495])).
% 1.32/1.44 tff(3498,plain,
% 1.32/1.44 (~(X!1 = cell86)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3497, 3494])).
% 1.32/1.44 tff(3499,plain,
% 1.32/1.44 (((~(X!1 = cell86)) | (~(cell89 = cell87))) | (X!1 = cell86)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3500,plain,
% 1.32/1.44 ((~(X!1 = cell86)) | (~(cell89 = cell87))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3499, 3498])).
% 1.32/1.44 tff(3501,plain,
% 1.32/1.44 (((~(X!1 = cell4)) | (~(cell89 = cell14))) | (X!1 = cell4)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3502,plain,
% 1.32/1.44 ((~(X!1 = cell4)) | (~(cell89 = cell14))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3501, 2738])).
% 1.32/1.44 tff(3503,plain,
% 1.32/1.44 (((~(X!1 = cell5)) | (~(cell89 = cell15))) | (X!1 = cell5)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3504,plain,
% 1.32/1.44 ((~(X!1 = cell5)) | (~(cell89 = cell15))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3503, 2749])).
% 1.32/1.44 tff(3505,plain,
% 1.32/1.44 (((~(X!1 = cell6)) | (~(cell89 = cell16))) | (X!1 = cell6)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3506,plain,
% 1.32/1.44 ((~(X!1 = cell6)) | (~(cell89 = cell16))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3505, 2760])).
% 1.32/1.44 tff(3507,plain,
% 1.32/1.44 (((~(X!1 = cell7)) | (~(cell89 = cell17))) | (X!1 = cell7)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3508,plain,
% 1.32/1.44 ((~(X!1 = cell7)) | (~(cell89 = cell17))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3507, 2771])).
% 1.32/1.44 tff(3509,plain,
% 1.32/1.44 (((~(X!1 = cell8)) | (~(cell89 = cell18))) | (X!1 = cell8)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3510,plain,
% 1.32/1.44 ((~(X!1 = cell8)) | (~(cell89 = cell18))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3509, 2782])).
% 1.32/1.44 tff(3511,plain,
% 1.32/1.44 (((~(X!1 = cell9)) | (~(cell89 = cell19))) | (X!1 = cell9)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3512,plain,
% 1.32/1.44 ((~(X!1 = cell9)) | (~(cell89 = cell19))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3511, 2793])).
% 1.32/1.44 tff(3513,plain,
% 1.32/1.44 ((cell12 = cell10) <=> (cell10 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3514,plain,
% 1.32/1.44 ((X!1 = cell10) <=> (cell12 = cell10)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3515,plain,
% 1.32/1.44 ((X!1 = cell10) <=> (cell10 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3514, 3513])).
% 1.32/1.44 tff(3516,plain,
% 1.32/1.44 ((cell10 = cell12) <=> (X!1 = cell10)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3515])).
% 1.32/1.44 tff(3517,plain,
% 1.32/1.44 ((~(cell10 = cell12)) <=> (~(X!1 = cell10))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3516])).
% 1.32/1.44 tff(3518,plain,
% 1.32/1.44 ((~(cell10 = cell12)) <=> (~(cell10 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3519,axiom,(~(cell10 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49773')).
% 1.32/1.44 tff(3520,plain,
% 1.32/1.44 (~(cell10 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 1.32/1.44 tff(3521,plain,
% 1.32/1.44 (~(X!1 = cell10)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3520, 3517])).
% 1.32/1.44 tff(3522,plain,
% 1.32/1.44 (((~(X!1 = cell10)) | (~(cell89 = cell20))) | (X!1 = cell10)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3523,plain,
% 1.32/1.44 ((~(X!1 = cell10)) | (~(cell89 = cell20))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3522, 3521])).
% 1.32/1.44 tff(3524,plain,
% 1.32/1.44 ((X!1 = cell11) <=> (cell12 = cell11)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3525,plain,
% 1.32/1.44 ((cell12 = cell11) <=> (X!1 = cell11)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3524])).
% 1.32/1.44 tff(3526,plain,
% 1.32/1.44 ((~(cell12 = cell11)) <=> (~(X!1 = cell11))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3525])).
% 1.32/1.44 tff(3527,plain,
% 1.32/1.44 ((~(cell12 = cell11)) <=> (~(cell12 = cell11))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3528,axiom,(~(cell12 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49921')).
% 1.32/1.44 tff(3529,plain,
% 1.32/1.44 (~(cell12 = cell11)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 1.32/1.44 tff(3530,plain,
% 1.32/1.44 (~(X!1 = cell11)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3529, 3526])).
% 1.32/1.44 tff(3531,plain,
% 1.32/1.44 (((~(X!1 = cell11)) | (~(cell89 = cell21))) | (X!1 = cell11)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3532,plain,
% 1.32/1.44 ((~(X!1 = cell11)) | (~(cell89 = cell21))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3531, 3530])).
% 1.32/1.44 tff(3533,plain,
% 1.32/1.44 (((~(X!1 = cell13)) | (~(cell89 = cell23))) | (X!1 = cell13)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3534,plain,
% 1.32/1.44 ((~(X!1 = cell13)) | (~(cell89 = cell23))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3533, 2802])).
% 1.32/1.44 tff(3535,plain,
% 1.32/1.44 (((~(X!1 = cell14)) | (~(cell89 = cell24))) | (X!1 = cell14)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3536,plain,
% 1.32/1.44 ((~(X!1 = cell14)) | (~(cell89 = cell24))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3535, 2813])).
% 1.32/1.44 tff(3537,plain,
% 1.32/1.44 (((~(X!1 = cell15)) | (~(cell89 = cell25))) | (X!1 = cell15)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3538,plain,
% 1.32/1.44 ((~(X!1 = cell15)) | (~(cell89 = cell25))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3537, 2824])).
% 1.32/1.44 tff(3539,plain,
% 1.32/1.44 (((~(X!1 = cell16)) | (~(cell89 = cell26))) | (X!1 = cell16)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3540,plain,
% 1.32/1.44 ((~(X!1 = cell16)) | (~(cell89 = cell26))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3539, 2835])).
% 1.32/1.44 tff(3541,plain,
% 1.32/1.44 (((~(X!1 = cell17)) | (~(cell89 = cell27))) | (X!1 = cell17)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3542,plain,
% 1.32/1.44 ((~(X!1 = cell17)) | (~(cell89 = cell27))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3541, 2846])).
% 1.32/1.44 tff(3543,plain,
% 1.32/1.44 (((~(X!1 = cell18)) | (~(cell89 = cell28))) | (X!1 = cell18)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3544,plain,
% 1.32/1.44 ((~(X!1 = cell18)) | (~(cell89 = cell28))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3543, 2857])).
% 1.32/1.44 tff(3545,plain,
% 1.32/1.44 (((~(X!1 = cell19)) | (~(cell89 = cell29))) | (X!1 = cell19)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3546,plain,
% 1.32/1.44 ((~(X!1 = cell19)) | (~(cell89 = cell29))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3545, 2868])).
% 1.32/1.44 tff(3547,plain,
% 1.32/1.44 ((cell12 = cell20) <=> (cell20 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3548,plain,
% 1.32/1.44 ((X!1 = cell20) <=> (cell12 = cell20)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3549,plain,
% 1.32/1.44 ((X!1 = cell20) <=> (cell20 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3548, 3547])).
% 1.32/1.44 tff(3550,plain,
% 1.32/1.44 ((cell20 = cell12) <=> (X!1 = cell20)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3549])).
% 1.32/1.44 tff(3551,plain,
% 1.32/1.44 ((~(cell20 = cell12)) <=> (~(X!1 = cell20))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3550])).
% 1.32/1.44 tff(3552,plain,
% 1.32/1.44 ((~(cell20 = cell12)) <=> (~(cell20 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3553,axiom,(~(cell20 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49626')).
% 1.32/1.44 tff(3554,plain,
% 1.32/1.44 (~(cell20 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 1.32/1.44 tff(3555,plain,
% 1.32/1.44 (~(X!1 = cell20)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3554, 3551])).
% 1.32/1.44 tff(3556,plain,
% 1.32/1.44 (((~(X!1 = cell20)) | (~(cell89 = cell30))) | (X!1 = cell20)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3557,plain,
% 1.32/1.44 ((~(X!1 = cell20)) | (~(cell89 = cell30))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3556, 3555])).
% 1.32/1.44 tff(3558,plain,
% 1.32/1.44 ((cell12 = cell21) <=> (cell21 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3559,plain,
% 1.32/1.44 ((X!1 = cell21) <=> (cell12 = cell21)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3560,plain,
% 1.32/1.44 ((X!1 = cell21) <=> (cell21 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3559, 3558])).
% 1.32/1.44 tff(3561,plain,
% 1.32/1.44 ((cell21 = cell12) <=> (X!1 = cell21)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3560])).
% 1.32/1.44 tff(3562,plain,
% 1.32/1.44 ((~(cell21 = cell12)) <=> (~(X!1 = cell21))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3561])).
% 1.32/1.44 tff(3563,plain,
% 1.32/1.44 ((~(cell21 = cell12)) <=> (~(cell21 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3564,axiom,(~(cell21 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49601')).
% 1.32/1.44 tff(3565,plain,
% 1.32/1.44 (~(cell21 = cell12)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 1.32/1.44 tff(3566,plain,
% 1.32/1.44 (~(X!1 = cell21)),
% 1.32/1.44 inference(modus_ponens,[status(thm)],[3565, 3562])).
% 1.32/1.44 tff(3567,plain,
% 1.32/1.44 (((~(X!1 = cell21)) | (~(cell89 = cell31))) | (X!1 = cell21)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3568,plain,
% 1.32/1.44 ((~(X!1 = cell21)) | (~(cell89 = cell31))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3567, 3566])).
% 1.32/1.44 tff(3569,plain,
% 1.32/1.44 (((~(X!1 = cell22)) | (~(cell89 = cell32))) | (X!1 = cell22)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3570,plain,
% 1.32/1.44 ((~(X!1 = cell22)) | (~(cell89 = cell32))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3569, 2877])).
% 1.32/1.44 tff(3571,plain,
% 1.32/1.44 (((~(X!1 = cell23)) | (~(cell89 = cell33))) | (X!1 = cell23)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3572,plain,
% 1.32/1.44 ((~(X!1 = cell23)) | (~(cell89 = cell33))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3571, 2888])).
% 1.32/1.44 tff(3573,plain,
% 1.32/1.44 (((~(X!1 = cell24)) | (~(cell89 = cell34))) | (X!1 = cell24)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3574,plain,
% 1.32/1.44 ((~(X!1 = cell24)) | (~(cell89 = cell34))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3573, 2899])).
% 1.32/1.44 tff(3575,plain,
% 1.32/1.44 (((~(X!1 = cell25)) | (~(cell89 = cell35))) | (X!1 = cell25)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3576,plain,
% 1.32/1.44 ((~(X!1 = cell25)) | (~(cell89 = cell35))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3575, 2910])).
% 1.32/1.44 tff(3577,plain,
% 1.32/1.44 (((~(X!1 = cell26)) | (~(cell89 = cell36))) | (X!1 = cell26)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3578,plain,
% 1.32/1.44 ((~(X!1 = cell26)) | (~(cell89 = cell36))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3577, 2921])).
% 1.32/1.44 tff(3579,plain,
% 1.32/1.44 (((~(X!1 = cell27)) | (~(cell89 = cell37))) | (X!1 = cell27)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3580,plain,
% 1.32/1.44 ((~(X!1 = cell27)) | (~(cell89 = cell37))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3579, 2932])).
% 1.32/1.44 tff(3581,plain,
% 1.32/1.44 (((~(X!1 = cell28)) | (~(cell89 = cell38))) | (X!1 = cell28)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3582,plain,
% 1.32/1.44 ((~(X!1 = cell28)) | (~(cell89 = cell38))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3581, 2943])).
% 1.32/1.44 tff(3583,plain,
% 1.32/1.44 (((~(X!1 = cell29)) | (~(cell89 = cell39))) | (X!1 = cell29)),
% 1.32/1.44 inference(tautology,[status(thm)],[])).
% 1.32/1.44 tff(3584,plain,
% 1.32/1.44 ((~(X!1 = cell29)) | (~(cell89 = cell39))),
% 1.32/1.44 inference(unit_resolution,[status(thm)],[3583, 2954])).
% 1.32/1.44 tff(3585,plain,
% 1.32/1.44 ((cell12 = cell30) <=> (cell30 = cell12)),
% 1.32/1.44 inference(commutativity,[status(thm)],[])).
% 1.32/1.44 tff(3586,plain,
% 1.32/1.44 ((X!1 = cell30) <=> (cell12 = cell30)),
% 1.32/1.44 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.44 tff(3587,plain,
% 1.32/1.44 ((X!1 = cell30) <=> (cell30 = cell12)),
% 1.32/1.44 inference(transitivity,[status(thm)],[3586, 3585])).
% 1.32/1.44 tff(3588,plain,
% 1.32/1.44 ((cell30 = cell12) <=> (X!1 = cell30)),
% 1.32/1.44 inference(symmetry,[status(thm)],[3587])).
% 1.32/1.44 tff(3589,plain,
% 1.32/1.44 ((~(cell30 = cell12)) <=> (~(X!1 = cell30))),
% 1.32/1.44 inference(monotonicity,[status(thm)],[3588])).
% 1.32/1.44 tff(3590,plain,
% 1.32/1.44 ((~(cell30 = cell12)) <=> (~(cell30 = cell12))),
% 1.32/1.44 inference(rewrite,[status(thm)],[])).
% 1.32/1.44 tff(3591,axiom,(~(cell30 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49365')).
% 1.32/1.44 tff(3592,plain,
% 1.32/1.45 (~(cell30 = cell12)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3591, 3590])).
% 1.32/1.45 tff(3593,plain,
% 1.32/1.45 (~(X!1 = cell30)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3592, 3589])).
% 1.32/1.45 tff(3594,plain,
% 1.32/1.45 (((~(X!1 = cell30)) | (~(cell89 = cell40))) | (X!1 = cell30)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3595,plain,
% 1.32/1.45 ((~(X!1 = cell30)) | (~(cell89 = cell40))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3594, 3593])).
% 1.32/1.45 tff(3596,plain,
% 1.32/1.45 (((~(X!1 = cell31)) | (~(cell89 = cell41))) | (X!1 = cell31)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3597,plain,
% 1.32/1.45 ((~(X!1 = cell31)) | (~(cell89 = cell41))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3596, 2965])).
% 1.32/1.45 tff(3598,plain,
% 1.32/1.45 (((~(X!1 = cell32)) | (~(cell89 = cell42))) | (X!1 = cell32)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3599,plain,
% 1.32/1.45 ((~(X!1 = cell32)) | (~(cell89 = cell42))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3598, 2976])).
% 1.32/1.45 tff(3600,plain,
% 1.32/1.45 (((~(X!1 = cell33)) | (~(cell89 = cell43))) | (X!1 = cell33)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3601,plain,
% 1.32/1.45 ((~(X!1 = cell33)) | (~(cell89 = cell43))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3600, 2987])).
% 1.32/1.45 tff(3602,plain,
% 1.32/1.45 (((~(X!1 = cell34)) | (~(cell89 = cell44))) | (X!1 = cell34)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3603,plain,
% 1.32/1.45 ((~(X!1 = cell34)) | (~(cell89 = cell44))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3602, 2998])).
% 1.32/1.45 tff(3604,plain,
% 1.32/1.45 (((~(X!1 = cell35)) | (~(cell89 = cell45))) | (X!1 = cell35)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3605,plain,
% 1.32/1.45 ((~(X!1 = cell35)) | (~(cell89 = cell45))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3604, 3009])).
% 1.32/1.45 tff(3606,plain,
% 1.32/1.45 (((~(X!1 = cell36)) | (~(cell89 = cell46))) | (X!1 = cell36)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3607,plain,
% 1.32/1.45 ((~(X!1 = cell36)) | (~(cell89 = cell46))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3606, 3020])).
% 1.32/1.45 tff(3608,plain,
% 1.32/1.45 (((~(X!1 = cell37)) | (~(cell89 = cell47))) | (X!1 = cell37)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3609,plain,
% 1.32/1.45 ((~(X!1 = cell37)) | (~(cell89 = cell47))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3608, 3031])).
% 1.32/1.45 tff(3610,plain,
% 1.32/1.45 (((~(X!1 = cell38)) | (~(cell89 = cell48))) | (X!1 = cell38)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3611,plain,
% 1.32/1.45 ((~(X!1 = cell38)) | (~(cell89 = cell48))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3610, 3042])).
% 1.32/1.45 tff(3612,plain,
% 1.32/1.45 (((~(X!1 = cell39)) | (~(cell89 = cell49))) | (X!1 = cell39)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3613,plain,
% 1.32/1.45 ((~(X!1 = cell39)) | (~(cell89 = cell49))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3612, 3053])).
% 1.32/1.45 tff(3614,plain,
% 1.32/1.45 ((cell12 = cell40) <=> (cell40 = cell12)),
% 1.32/1.45 inference(commutativity,[status(thm)],[])).
% 1.32/1.45 tff(3615,plain,
% 1.32/1.45 ((X!1 = cell40) <=> (cell12 = cell40)),
% 1.32/1.45 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.45 tff(3616,plain,
% 1.32/1.45 ((X!1 = cell40) <=> (cell40 = cell12)),
% 1.32/1.45 inference(transitivity,[status(thm)],[3615, 3614])).
% 1.32/1.45 tff(3617,plain,
% 1.32/1.45 ((cell40 = cell12) <=> (X!1 = cell40)),
% 1.32/1.45 inference(symmetry,[status(thm)],[3616])).
% 1.32/1.45 tff(3618,plain,
% 1.32/1.45 ((~(cell40 = cell12)) <=> (~(X!1 = cell40))),
% 1.32/1.45 inference(monotonicity,[status(thm)],[3617])).
% 1.32/1.45 tff(3619,plain,
% 1.32/1.45 ((~(cell40 = cell12)) <=> (~(cell40 = cell12))),
% 1.32/1.45 inference(rewrite,[status(thm)],[])).
% 1.32/1.45 tff(3620,axiom,(~(cell40 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48980')).
% 1.32/1.45 tff(3621,plain,
% 1.32/1.45 (~(cell40 = cell12)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3620, 3619])).
% 1.32/1.45 tff(3622,plain,
% 1.32/1.45 (~(X!1 = cell40)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3621, 3618])).
% 1.32/1.45 tff(3623,plain,
% 1.32/1.45 (((~(X!1 = cell40)) | (~(cell89 = cell50))) | (X!1 = cell40)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3624,plain,
% 1.32/1.45 ((~(X!1 = cell40)) | (~(cell89 = cell50))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3623, 3622])).
% 1.32/1.45 tff(3625,plain,
% 1.32/1.45 (((~(X!1 = cell41)) | (~(cell89 = cell51))) | (X!1 = cell41)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3626,plain,
% 1.32/1.45 ((~(X!1 = cell41)) | (~(cell89 = cell51))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3625, 3064])).
% 1.32/1.45 tff(3627,plain,
% 1.32/1.45 (((~(X!1 = cell42)) | (~(cell89 = cell52))) | (X!1 = cell42)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3628,plain,
% 1.32/1.45 ((~(X!1 = cell42)) | (~(cell89 = cell52))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3627, 3075])).
% 1.32/1.45 tff(3629,plain,
% 1.32/1.45 (((~(X!1 = cell43)) | (~(cell89 = cell53))) | (X!1 = cell43)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3630,plain,
% 1.32/1.45 ((~(X!1 = cell43)) | (~(cell89 = cell53))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3629, 3086])).
% 1.32/1.45 tff(3631,plain,
% 1.32/1.45 (((~(X!1 = cell44)) | (~(cell89 = cell54))) | (X!1 = cell44)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3632,plain,
% 1.32/1.45 ((~(X!1 = cell44)) | (~(cell89 = cell54))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3631, 3097])).
% 1.32/1.45 tff(3633,plain,
% 1.32/1.45 (((~(X!1 = cell45)) | (~(cell89 = cell55))) | (X!1 = cell45)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3634,plain,
% 1.32/1.45 ((~(X!1 = cell45)) | (~(cell89 = cell55))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3633, 3108])).
% 1.32/1.45 tff(3635,plain,
% 1.32/1.45 (((~(X!1 = cell46)) | (~(cell89 = cell56))) | (X!1 = cell46)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3636,plain,
% 1.32/1.45 ((~(X!1 = cell46)) | (~(cell89 = cell56))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3635, 3119])).
% 1.32/1.45 tff(3637,plain,
% 1.32/1.45 (((~(X!1 = cell47)) | (~(cell89 = cell57))) | (X!1 = cell47)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3638,plain,
% 1.32/1.45 ((~(X!1 = cell47)) | (~(cell89 = cell57))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3637, 3130])).
% 1.32/1.45 tff(3639,plain,
% 1.32/1.45 (((~(X!1 = cell48)) | (~(cell89 = cell58))) | (X!1 = cell48)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3640,plain,
% 1.32/1.45 ((~(X!1 = cell48)) | (~(cell89 = cell58))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3639, 3141])).
% 1.32/1.45 tff(3641,plain,
% 1.32/1.45 (((~(X!1 = cell49)) | (~(cell89 = cell59))) | (X!1 = cell49)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3642,plain,
% 1.32/1.45 ((~(X!1 = cell49)) | (~(cell89 = cell59))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3641, 3152])).
% 1.32/1.45 tff(3643,plain,
% 1.32/1.45 ((cell12 = cell50) <=> (cell50 = cell12)),
% 1.32/1.45 inference(commutativity,[status(thm)],[])).
% 1.32/1.45 tff(3644,plain,
% 1.32/1.45 ((X!1 = cell50) <=> (cell12 = cell50)),
% 1.32/1.45 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.45 tff(3645,plain,
% 1.32/1.45 ((X!1 = cell50) <=> (cell50 = cell12)),
% 1.32/1.45 inference(transitivity,[status(thm)],[3644, 3643])).
% 1.32/1.45 tff(3646,plain,
% 1.32/1.45 ((cell50 = cell12) <=> (X!1 = cell50)),
% 1.32/1.45 inference(symmetry,[status(thm)],[3645])).
% 1.32/1.45 tff(3647,plain,
% 1.32/1.45 ((~(cell50 = cell12)) <=> (~(X!1 = cell50))),
% 1.32/1.45 inference(monotonicity,[status(thm)],[3646])).
% 1.32/1.45 tff(3648,plain,
% 1.32/1.45 ((~(cell50 = cell12)) <=> (~(cell50 = cell12))),
% 1.32/1.45 inference(rewrite,[status(thm)],[])).
% 1.32/1.45 tff(3649,axiom,(~(cell50 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48495')).
% 1.32/1.45 tff(3650,plain,
% 1.32/1.45 (~(cell50 = cell12)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 1.32/1.45 tff(3651,plain,
% 1.32/1.45 (~(X!1 = cell50)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3650, 3647])).
% 1.32/1.45 tff(3652,plain,
% 1.32/1.45 (((~(X!1 = cell50)) | (~(cell89 = cell60))) | (X!1 = cell50)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3653,plain,
% 1.32/1.45 ((~(X!1 = cell50)) | (~(cell89 = cell60))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3652, 3651])).
% 1.32/1.45 tff(3654,plain,
% 1.32/1.45 (((~(X!1 = cell51)) | (~(cell89 = cell61))) | (X!1 = cell51)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3655,plain,
% 1.32/1.45 ((~(X!1 = cell51)) | (~(cell89 = cell61))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3654, 3163])).
% 1.32/1.45 tff(3656,plain,
% 1.32/1.45 (((~(X!1 = cell52)) | (~(cell89 = cell62))) | (X!1 = cell52)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3657,plain,
% 1.32/1.45 ((~(X!1 = cell52)) | (~(cell89 = cell62))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3656, 3174])).
% 1.32/1.45 tff(3658,plain,
% 1.32/1.45 (((~(X!1 = cell53)) | (~(cell89 = cell63))) | (X!1 = cell53)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3659,plain,
% 1.32/1.45 ((~(X!1 = cell53)) | (~(cell89 = cell63))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3658, 3185])).
% 1.32/1.45 tff(3660,plain,
% 1.32/1.45 (((~(X!1 = cell54)) | (~(cell89 = cell64))) | (X!1 = cell54)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3661,plain,
% 1.32/1.45 ((~(X!1 = cell54)) | (~(cell89 = cell64))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3660, 3196])).
% 1.32/1.45 tff(3662,plain,
% 1.32/1.45 (((~(X!1 = cell55)) | (~(cell89 = cell65))) | (X!1 = cell55)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3663,plain,
% 1.32/1.45 ((~(X!1 = cell55)) | (~(cell89 = cell65))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3662, 3207])).
% 1.32/1.45 tff(3664,plain,
% 1.32/1.45 (((~(X!1 = cell56)) | (~(cell89 = cell66))) | (X!1 = cell56)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3665,plain,
% 1.32/1.45 ((~(X!1 = cell56)) | (~(cell89 = cell66))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3664, 3218])).
% 1.32/1.45 tff(3666,plain,
% 1.32/1.45 (((~(X!1 = cell57)) | (~(cell89 = cell67))) | (X!1 = cell57)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3667,plain,
% 1.32/1.45 ((~(X!1 = cell57)) | (~(cell89 = cell67))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3666, 3229])).
% 1.32/1.45 tff(3668,plain,
% 1.32/1.45 (((~(X!1 = cell58)) | (~(cell89 = cell68))) | (X!1 = cell58)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3669,plain,
% 1.32/1.45 ((~(X!1 = cell58)) | (~(cell89 = cell68))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3668, 3240])).
% 1.32/1.45 tff(3670,plain,
% 1.32/1.45 (((~(X!1 = cell59)) | (~(cell89 = cell69))) | (X!1 = cell59)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3671,plain,
% 1.32/1.45 ((~(X!1 = cell59)) | (~(cell89 = cell69))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3670, 3251])).
% 1.32/1.45 tff(3672,plain,
% 1.32/1.45 ((cell12 = cell60) <=> (cell60 = cell12)),
% 1.32/1.45 inference(commutativity,[status(thm)],[])).
% 1.32/1.45 tff(3673,plain,
% 1.32/1.45 ((X!1 = cell60) <=> (cell12 = cell60)),
% 1.32/1.45 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.45 tff(3674,plain,
% 1.32/1.45 ((X!1 = cell60) <=> (cell60 = cell12)),
% 1.32/1.45 inference(transitivity,[status(thm)],[3673, 3672])).
% 1.32/1.45 tff(3675,plain,
% 1.32/1.45 ((cell60 = cell12) <=> (X!1 = cell60)),
% 1.32/1.45 inference(symmetry,[status(thm)],[3674])).
% 1.32/1.45 tff(3676,plain,
% 1.32/1.45 ((~(cell60 = cell12)) <=> (~(X!1 = cell60))),
% 1.32/1.45 inference(monotonicity,[status(thm)],[3675])).
% 1.32/1.45 tff(3677,plain,
% 1.32/1.45 ((~(cell60 = cell12)) <=> (~(cell60 = cell12))),
% 1.32/1.45 inference(rewrite,[status(thm)],[])).
% 1.32/1.45 tff(3678,axiom,(~(cell60 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47910')).
% 1.32/1.45 tff(3679,plain,
% 1.32/1.45 (~(cell60 = cell12)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 1.32/1.45 tff(3680,plain,
% 1.32/1.45 (~(X!1 = cell60)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3679, 3676])).
% 1.32/1.45 tff(3681,plain,
% 1.32/1.45 (((~(X!1 = cell60)) | (~(cell89 = cell70))) | (X!1 = cell60)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3682,plain,
% 1.32/1.45 ((~(X!1 = cell60)) | (~(cell89 = cell70))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3681, 3680])).
% 1.32/1.45 tff(3683,plain,
% 1.32/1.45 (((~(X!1 = cell61)) | (~(cell89 = cell71))) | (X!1 = cell61)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3684,plain,
% 1.32/1.45 ((~(X!1 = cell61)) | (~(cell89 = cell71))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3683, 3262])).
% 1.32/1.45 tff(3685,plain,
% 1.32/1.45 (((~(X!1 = cell62)) | (~(cell89 = cell72))) | (X!1 = cell62)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3686,plain,
% 1.32/1.45 ((~(X!1 = cell62)) | (~(cell89 = cell72))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3685, 3273])).
% 1.32/1.45 tff(3687,plain,
% 1.32/1.45 (((~(X!1 = cell63)) | (~(cell89 = cell73))) | (X!1 = cell63)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3688,plain,
% 1.32/1.45 ((~(X!1 = cell63)) | (~(cell89 = cell73))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3687, 3284])).
% 1.32/1.45 tff(3689,plain,
% 1.32/1.45 (((~(X!1 = cell64)) | (~(cell89 = cell74))) | (X!1 = cell64)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3690,plain,
% 1.32/1.45 ((~(X!1 = cell64)) | (~(cell89 = cell74))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3689, 3295])).
% 1.32/1.45 tff(3691,plain,
% 1.32/1.45 (((~(X!1 = cell65)) | (~(cell89 = cell75))) | (X!1 = cell65)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3692,plain,
% 1.32/1.45 ((~(X!1 = cell65)) | (~(cell89 = cell75))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3691, 3306])).
% 1.32/1.45 tff(3693,plain,
% 1.32/1.45 (((~(X!1 = cell66)) | (~(cell89 = cell76))) | (X!1 = cell66)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3694,plain,
% 1.32/1.45 ((~(X!1 = cell66)) | (~(cell89 = cell76))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3693, 3317])).
% 1.32/1.45 tff(3695,plain,
% 1.32/1.45 (((~(X!1 = cell67)) | (~(cell89 = cell77))) | (X!1 = cell67)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3696,plain,
% 1.32/1.45 ((~(X!1 = cell67)) | (~(cell89 = cell77))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3695, 3328])).
% 1.32/1.45 tff(3697,plain,
% 1.32/1.45 (((~(X!1 = cell68)) | (~(cell89 = cell78))) | (X!1 = cell68)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3698,plain,
% 1.32/1.45 ((~(X!1 = cell68)) | (~(cell89 = cell78))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3697, 3339])).
% 1.32/1.45 tff(3699,plain,
% 1.32/1.45 ((cell12 = cell70) <=> (cell70 = cell12)),
% 1.32/1.45 inference(commutativity,[status(thm)],[])).
% 1.32/1.45 tff(3700,plain,
% 1.32/1.45 ((X!1 = cell70) <=> (cell12 = cell70)),
% 1.32/1.45 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.45 tff(3701,plain,
% 1.32/1.45 ((X!1 = cell70) <=> (cell70 = cell12)),
% 1.32/1.45 inference(transitivity,[status(thm)],[3700, 3699])).
% 1.32/1.45 tff(3702,plain,
% 1.32/1.45 ((cell70 = cell12) <=> (X!1 = cell70)),
% 1.32/1.45 inference(symmetry,[status(thm)],[3701])).
% 1.32/1.45 tff(3703,plain,
% 1.32/1.45 ((~(cell70 = cell12)) <=> (~(X!1 = cell70))),
% 1.32/1.45 inference(monotonicity,[status(thm)],[3702])).
% 1.32/1.45 tff(3704,plain,
% 1.32/1.45 ((~(cell70 = cell12)) <=> (~(cell70 = cell12))),
% 1.32/1.45 inference(rewrite,[status(thm)],[])).
% 1.32/1.45 tff(3705,axiom,(~(cell70 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47225')).
% 1.32/1.45 tff(3706,plain,
% 1.32/1.45 (~(cell70 = cell12)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3705, 3704])).
% 1.32/1.45 tff(3707,plain,
% 1.32/1.45 (~(X!1 = cell70)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3706, 3703])).
% 1.32/1.45 tff(3708,plain,
% 1.32/1.45 (((~(X!1 = cell70)) | (~(cell89 = cell80))) | (X!1 = cell70)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3709,plain,
% 1.32/1.45 ((~(X!1 = cell70)) | (~(cell89 = cell80))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3708, 3707])).
% 1.32/1.45 tff(3710,plain,
% 1.32/1.45 (((~(X!1 = cell71)) | (~(cell89 = cell81))) | (X!1 = cell71)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3711,plain,
% 1.32/1.45 ((~(X!1 = cell71)) | (~(cell89 = cell81))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3710, 3358])).
% 1.32/1.45 tff(3712,plain,
% 1.32/1.45 (((~(X!1 = cell72)) | (~(cell89 = cell82))) | (X!1 = cell72)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3713,plain,
% 1.32/1.45 ((~(X!1 = cell72)) | (~(cell89 = cell82))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3712, 3369])).
% 1.32/1.45 tff(3714,plain,
% 1.32/1.45 (((~(X!1 = cell73)) | (~(cell89 = cell83))) | (X!1 = cell73)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3715,plain,
% 1.32/1.45 ((~(X!1 = cell73)) | (~(cell89 = cell83))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3714, 3380])).
% 1.32/1.45 tff(3716,plain,
% 1.32/1.45 (((~(X!1 = cell74)) | (~(cell89 = cell84))) | (X!1 = cell74)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3717,plain,
% 1.32/1.45 ((~(X!1 = cell74)) | (~(cell89 = cell84))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3716, 3391])).
% 1.32/1.45 tff(3718,plain,
% 1.32/1.45 (((~(X!1 = cell75)) | (~(cell89 = cell85))) | (X!1 = cell75)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3719,plain,
% 1.32/1.45 ((~(X!1 = cell75)) | (~(cell89 = cell85))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3718, 3402])).
% 1.32/1.45 tff(3720,plain,
% 1.32/1.45 (((~(X!1 = cell76)) | (~(cell89 = cell86))) | (X!1 = cell76)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3721,plain,
% 1.32/1.45 ((~(X!1 = cell76)) | (~(cell89 = cell86))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3720, 3413])).
% 1.32/1.45 tff(3722,plain,
% 1.32/1.45 (((~(X!1 = cell77)) | (~(cell89 = cell87))) | (X!1 = cell77)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3723,plain,
% 1.32/1.45 ((~(X!1 = cell77)) | (~(cell89 = cell87))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3722, 3424])).
% 1.32/1.45 tff(3724,plain,
% 1.32/1.45 (((~(X!1 = cell81)) | (~(cell89 = cell91))) | (X!1 = cell81)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3725,plain,
% 1.32/1.45 ((~(X!1 = cell81)) | (~(cell89 = cell91))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3724, 3443])).
% 1.32/1.45 tff(3726,plain,
% 1.32/1.45 (((~(X!1 = cell82)) | (~(cell89 = cell92))) | (X!1 = cell82)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3727,plain,
% 1.32/1.45 ((~(X!1 = cell82)) | (~(cell89 = cell92))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3726, 3454])).
% 1.32/1.45 tff(3728,plain,
% 1.32/1.45 (((~(X!1 = cell83)) | (~(cell89 = cell93))) | (X!1 = cell83)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3729,plain,
% 1.32/1.45 ((~(X!1 = cell83)) | (~(cell89 = cell93))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3728, 3465])).
% 1.32/1.45 tff(3730,plain,
% 1.32/1.45 (((~(X!1 = cell84)) | (~(cell89 = cell94))) | (X!1 = cell84)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3731,plain,
% 1.32/1.45 ((~(X!1 = cell84)) | (~(cell89 = cell94))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3730, 3476])).
% 1.32/1.45 tff(3732,plain,
% 1.32/1.45 (((~(X!1 = cell85)) | (~(cell89 = cell95))) | (X!1 = cell85)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3733,plain,
% 1.32/1.45 ((~(X!1 = cell85)) | (~(cell89 = cell95))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3732, 3487])).
% 1.32/1.45 tff(3734,plain,
% 1.32/1.45 (((~(X!1 = cell86)) | (~(cell89 = cell96))) | (X!1 = cell86)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3735,plain,
% 1.32/1.45 ((~(X!1 = cell86)) | (~(cell89 = cell96))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3734, 3498])).
% 1.32/1.45 tff(3736,plain,
% 1.32/1.45 ((cell12 = cell88) <=> (cell88 = cell12)),
% 1.32/1.45 inference(commutativity,[status(thm)],[])).
% 1.32/1.45 tff(3737,plain,
% 1.32/1.45 ((X!1 = cell88) <=> (cell12 = cell88)),
% 1.32/1.45 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.45 tff(3738,plain,
% 1.32/1.45 ((X!1 = cell88) <=> (cell88 = cell12)),
% 1.32/1.45 inference(transitivity,[status(thm)],[3737, 3736])).
% 1.32/1.45 tff(3739,plain,
% 1.32/1.45 ((cell88 = cell12) <=> (X!1 = cell88)),
% 1.32/1.45 inference(symmetry,[status(thm)],[3738])).
% 1.32/1.45 tff(3740,plain,
% 1.32/1.45 ((~(cell88 = cell12)) <=> (~(X!1 = cell88))),
% 1.32/1.45 inference(monotonicity,[status(thm)],[3739])).
% 1.32/1.45 tff(3741,plain,
% 1.32/1.45 ((~(cell88 = cell12)) <=> (~(cell88 = cell12))),
% 1.32/1.45 inference(rewrite,[status(thm)],[])).
% 1.32/1.45 tff(3742,axiom,(~(cell88 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49898')).
% 1.32/1.45 tff(3743,plain,
% 1.32/1.45 (~(cell88 = cell12)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 1.32/1.45 tff(3744,plain,
% 1.32/1.45 (~(X!1 = cell88)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3743, 3740])).
% 1.32/1.45 tff(3745,plain,
% 1.32/1.45 (((~(X!1 = cell88)) | (~(cell89 = cell98))) | (X!1 = cell88)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3746,plain,
% 1.32/1.45 ((~(X!1 = cell88)) | (~(cell89 = cell98))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3745, 3744])).
% 1.32/1.45 tff(3747,plain,
% 1.32/1.45 (((~(X!1 = cell90)) | (~(cell89 = cell100))) | (X!1 = cell90)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3748,plain,
% 1.32/1.45 ((~(X!1 = cell90)) | (~(cell89 = cell100))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3747, 2613])).
% 1.32/1.45 tff(3749,plain,
% 1.32/1.45 ((cell12 = cell87) <=> (cell87 = cell12)),
% 1.32/1.45 inference(commutativity,[status(thm)],[])).
% 1.32/1.45 tff(3750,plain,
% 1.32/1.45 ((X!1 = cell87) <=> (cell12 = cell87)),
% 1.32/1.45 inference(monotonicity,[status(thm)],[2218])).
% 1.32/1.45 tff(3751,plain,
% 1.32/1.45 ((X!1 = cell87) <=> (cell87 = cell12)),
% 1.32/1.45 inference(transitivity,[status(thm)],[3750, 3749])).
% 1.32/1.45 tff(3752,plain,
% 1.32/1.45 ((cell87 = cell12) <=> (X!1 = cell87)),
% 1.32/1.45 inference(symmetry,[status(thm)],[3751])).
% 1.32/1.45 tff(3753,plain,
% 1.32/1.45 ((~(cell87 = cell12)) <=> (~(X!1 = cell87))),
% 1.32/1.45 inference(monotonicity,[status(thm)],[3752])).
% 1.32/1.45 tff(3754,plain,
% 1.32/1.45 ((~(cell87 = cell12)) <=> (~(cell87 = cell12))),
% 1.32/1.45 inference(rewrite,[status(thm)],[])).
% 1.32/1.45 tff(3755,axiom,(~(cell87 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45921')).
% 1.32/1.45 tff(3756,plain,
% 1.32/1.45 (~(cell87 = cell12)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3755, 3754])).
% 1.32/1.45 tff(3757,plain,
% 1.32/1.45 (~(X!1 = cell87)),
% 1.32/1.45 inference(modus_ponens,[status(thm)],[3756, 3753])).
% 1.32/1.45 tff(3758,plain,
% 1.32/1.45 (((~(X!1 = cell87)) | (~(cell89 = cell97))) | (X!1 = cell87)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3759,plain,
% 1.32/1.45 ((~(X!1 = cell87)) | (~(cell89 = cell97))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3758, 3757])).
% 1.32/1.45 tff(3760,plain,
% 1.32/1.45 (((~(X!1 = cell1)) | (~(cell89 = cell2))) | (cell89 = cell2)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3761,plain,
% 1.32/1.45 ((~(X!1 = cell1)) | (~(cell89 = cell2))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3760, 2632])).
% 1.32/1.45 tff(3762,plain,
% 1.32/1.45 (((~(X!1 = cell11)) | (~(cell89 = cell12))) | (cell89 = cell12)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3763,plain,
% 1.32/1.45 ((~(X!1 = cell11)) | (~(cell89 = cell12))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3762, 2642])).
% 1.32/1.45 tff(3764,plain,
% 1.32/1.45 (((~(X!1 = cell12)) | (~(cell89 = cell13))) | (cell89 = cell13)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3765,plain,
% 1.32/1.45 ((~(X!1 = cell12)) | (~(cell89 = cell13))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3764, 2647])).
% 1.32/1.45 tff(3766,plain,
% 1.32/1.45 (((~(X!1 = cell21)) | (~(cell89 = cell22))) | (cell89 = cell22)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3767,plain,
% 1.32/1.45 ((~(X!1 = cell21)) | (~(cell89 = cell22))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3766, 2652])).
% 1.32/1.45 tff(3768,plain,
% 1.32/1.45 (((~(X!1 = cell78)) | (~(cell89 = cell79))) | (cell89 = cell79)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3769,plain,
% 1.32/1.45 ((~(X!1 = cell78)) | (~(cell89 = cell79))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3768, 751])).
% 1.32/1.45 tff(3770,plain,
% 1.32/1.45 (((~(X!1 = cell87)) | (~(cell89 = cell88))) | (cell89 = cell88)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3771,plain,
% 1.32/1.45 ((~(X!1 = cell87)) | (~(cell89 = cell88))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3770, 2659])).
% 1.32/1.45 tff(3772,plain,
% 1.32/1.45 (((~(X!1 = cell89)) | (~(cell89 = cell90))) | (cell89 = cell90)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3773,plain,
% 1.32/1.45 ((~(X!1 = cell89)) | (~(cell89 = cell90))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3772, 2683])).
% 1.32/1.45 tff(3774,plain,
% 1.32/1.45 (((~(X!1 = cell98)) | (~(cell89 = cell99))) | (cell89 = cell99)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3775,plain,
% 1.32/1.45 ((~(X!1 = cell98)) | (~(cell89 = cell99))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3774, 2664])).
% 1.32/1.45 tff(3776,plain,
% 1.32/1.45 (((~(X!1 = cell1)) | (~(cell89 = cell11))) | (cell89 = cell11)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3777,plain,
% 1.32/1.45 ((~(X!1 = cell1)) | (~(cell89 = cell11))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3776, 2637])).
% 1.32/1.45 tff(3778,plain,
% 1.32/1.45 (((~(X!1 = cell2)) | (~(cell89 = cell12))) | (cell89 = cell12)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3779,plain,
% 1.32/1.45 ((~(X!1 = cell2)) | (~(cell89 = cell12))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3778, 2642])).
% 1.32/1.45 tff(3780,plain,
% 1.32/1.45 (((~(X!1 = cell3)) | (~(cell89 = cell13))) | (cell89 = cell13)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3781,plain,
% 1.32/1.45 ((~(X!1 = cell3)) | (~(cell89 = cell13))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3780, 2647])).
% 1.32/1.45 tff(3782,plain,
% 1.32/1.45 (((~(X!1 = cell12)) | (~(cell89 = cell22))) | (cell89 = cell22)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3783,plain,
% 1.32/1.45 ((~(X!1 = cell12)) | (~(cell89 = cell22))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3782, 2652])).
% 1.32/1.45 tff(3784,plain,
% 1.32/1.45 (((~(X!1 = cell69)) | (~(cell89 = cell79))) | (cell89 = cell79)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3785,plain,
% 1.32/1.45 ((~(X!1 = cell69)) | (~(cell89 = cell79))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3784, 751])).
% 1.32/1.45 tff(3786,plain,
% 1.32/1.45 (((~(X!1 = cell78)) | (~(cell89 = cell88))) | (cell89 = cell88)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3787,plain,
% 1.32/1.45 ((~(X!1 = cell78)) | (~(cell89 = cell88))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3786, 2659])).
% 1.32/1.45 tff(3788,plain,
% 1.32/1.45 (((~(X!1 = cell80)) | (~(cell89 = cell90))) | (cell89 = cell90)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3789,plain,
% 1.32/1.45 ((~(X!1 = cell80)) | (~(cell89 = cell90))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3788, 2683])).
% 1.32/1.45 tff(3790,plain,
% 1.32/1.45 (((~(X!1 = cell89)) | (~(cell89 = cell99))) | (cell89 = cell99)),
% 1.32/1.45 inference(tautology,[status(thm)],[])).
% 1.32/1.45 tff(3791,plain,
% 1.32/1.45 ((~(X!1 = cell89)) | (~(cell89 = cell99))),
% 1.32/1.45 inference(unit_resolution,[status(thm)],[3790, 2664])).
% 1.32/1.45 tff(3792,plain,
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% 1.42/1.47 tff(3793,plain,
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cell36)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell41)))) | (~((~(X!1 = cell30)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell31)))) | (~((~(X!1 = cell20)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell21)))) | (~((~(X!1 = cell10)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell99)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell97)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell96)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell95)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell94)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell93)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell92)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell91)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell86)))) 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cell62)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell10)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell9)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell3))))),
% 1.42/1.47 inference(unit_resolution,[status(thm)],[3792, 3791, 3789, 3787, 3785, 3783, 3781, 3779, 3777, 3775, 3773, 3771, 3769, 3767, 3765, 3763, 3761])).
% 1.42/1.47 tff(3794,plain,
% 1.42/1.47 ($false),
% 1.42/1.47 inference(unit_resolution,[status(thm)],[3793, 3759, 3748, 3744, 3746, 3432, 3735, 3733, 3731, 3729, 3727, 3725, 3723, 3721, 3719, 3717, 3715, 3713, 3711, 3709, 3698, 3696, 3694, 3692, 3690, 3688, 3686, 3684, 3682, 3671, 3669, 3667, 3665, 3663, 3661, 3659, 3657, 3655, 3653, 3642, 3640, 3638, 3636, 3634, 3632, 3630, 3628, 3626, 3624, 3613, 3611, 3609, 3607, 3605, 3603, 3601, 3599, 3597, 3595, 3584, 3582, 3580, 3578, 3576, 3574, 3572, 3570, 3568, 3557, 3546, 3544, 3542, 3540, 3538, 3536, 3534, 3532, 3523, 3512, 3510, 3508, 3506, 3504, 3502, 1977, 1975, 1966, 1957, 1948, 1939, 1930, 1921, 3500, 3489, 3478, 3467, 3456, 3445, 3434, 3426, 3415, 3404, 3393, 3382, 3371, 3360, 3349, 3341, 3330, 3319, 3308, 3297, 3286, 3275, 3264, 3253, 3242, 3231, 3220, 3209, 3198, 3187, 3176, 3165, 3154, 3143, 3132, 3121, 3110, 3099, 3088, 3077, 3066, 3055, 3044, 3033, 3022, 3011, 3000, 2989, 2978, 2967, 2956, 2945, 2934, 2923, 2912, 2901, 2890, 2879, 2870, 2859, 2848, 2837, 2826, 2815, 2804, 2795, 2784, 2773, 2762, 2751, 2740, 2729, 2718, 2709])).
% 1.42/1.47 tff(3795,plain,((~(cell12 = X!1)) | (~(Y!0 = cell89))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.47 tff(3796,plain,
% 1.42/1.47 (~(cell12 = X!1)),
% 1.42/1.47 inference(unit_resolution,[status(thm)],[3795, 2192])).
% 1.42/1.47 tff(3797,plain,
% 1.42/1.47 (~patient(cell12)),
% 1.42/1.47 inference(unit_resolution,[status(thm)],[1132, 3796])).
% 1.42/1.47 tff(3798,assumption,(patient(cell88)), introduced(assumption)).
% 1.42/1.47 tff(3799,plain,
% 1.42/1.47 ((~(cell88 = cell11)) <=> (~(cell88 = cell11))),
% 1.42/1.47 inference(rewrite,[status(thm)],[])).
% 1.42/1.47 tff(3800,axiom,(~(cell88 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49899')).
% 1.42/1.47 tff(3801,plain,
% 1.42/1.47 (~(cell88 = cell11)),
% 1.42/1.47 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 1.42/1.47 tff(3802,plain,
% 1.42/1.47 ((~(cell88 = cell2)) <=> (~(cell88 = cell2))),
% 1.42/1.47 inference(rewrite,[status(thm)],[])).
% 1.42/1.47 tff(3803,axiom,(~(cell88 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49900')).
% 1.42/1.47 tff(3804,plain,
% 1.42/1.47 (~(cell88 = cell2)),
% 1.42/1.47 inference(modus_ponens,[status(thm)],[3803, 3802])).
% 1.42/1.47 tff(3805,assumption,(patient(cell2)), introduced(assumption)).
% 1.42/1.47 tff(3806,plain,
% 1.42/1.47 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell2) | (~patient(cell88)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell2) | (~patient(cell88)) | (~patient(cell2)))),
% 1.42/1.47 inference(rewrite,[status(thm)],[])).
% 1.42/1.47 tff(3807,plain,
% 1.42/1.47 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell2) | (~patient(cell88)) | (~patient(cell2)))),
% 1.42/1.47 inference(quant_inst,[status(thm)],[])).
% 1.42/1.47 tff(3808,plain,
% 1.42/1.47 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell2) | (~patient(cell88)) | (~patient(cell2))),
% 1.42/1.47 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 1.42/1.47 tff(3809,plain,
% 1.42/1.47 ($false),
% 1.42/1.47 inference(unit_resolution,[status(thm)],[3808, 3805, 28, 3804, 3798])).
% 1.42/1.47 tff(3810,plain,((~patient(cell2)) | (~patient(cell88))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.47 tff(3811,plain,
% 1.42/1.47 (~patient(cell2)),
% 1.42/1.47 inference(unit_resolution,[status(thm)],[3810, 3798])).
% 1.42/1.47 tff(3812,plain,
% 1.42/1.47 ((~(cell88 = cell22)) <=> (~(cell88 = cell22))),
% 1.42/1.47 inference(rewrite,[status(thm)],[])).
% 1.42/1.47 tff(3813,axiom,(~(cell88 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49902')).
% 1.42/1.47 tff(3814,plain,
% 1.42/1.47 (~(cell88 = cell22)),
% 1.42/1.47 inference(modus_ponens,[status(thm)],[3813, 3812])).
% 1.42/1.47 tff(3815,assumption,(patient(cell22)), introduced(assumption)).
% 1.42/1.47 tff(3816,plain,
% 1.42/1.47 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell22) | (~patient(cell88)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell22) | (~patient(cell88)) | (~patient(cell22)))),
% 1.42/1.48 inference(rewrite,[status(thm)],[])).
% 1.42/1.48 tff(3817,plain,
% 1.42/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell22) | (~patient(cell88)) | (~patient(cell22)))),
% 1.42/1.48 inference(quant_inst,[status(thm)],[])).
% 1.42/1.48 tff(3818,plain,
% 1.42/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell22) | (~patient(cell88)) | (~patient(cell22))),
% 1.42/1.48 inference(modus_ponens,[status(thm)],[3817, 3816])).
% 1.42/1.48 tff(3819,plain,
% 1.42/1.48 ($false),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3818, 3815, 28, 3814, 3798])).
% 1.42/1.48 tff(3820,plain,((~patient(cell22)) | (~patient(cell88))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.48 tff(3821,plain,
% 1.42/1.48 (~patient(cell22)),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3820, 3798])).
% 1.42/1.48 tff(3822,assumption,(~patient(cell12)), introduced(assumption)).
% 1.42/1.48 tff(3823,plain,
% 1.42/1.48 ((~(cell88 = cell13)) <=> (~(cell88 = cell13))),
% 1.42/1.48 inference(rewrite,[status(thm)],[])).
% 1.42/1.48 tff(3824,axiom,(~(cell88 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49901')).
% 1.42/1.48 tff(3825,plain,
% 1.42/1.48 (~(cell88 = cell13)),
% 1.42/1.48 inference(modus_ponens,[status(thm)],[3824, 3823])).
% 1.42/1.48 tff(3826,plain,
% 1.42/1.48 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell13) | (~patient(cell88)) | (~patient(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell13) | (~patient(cell88)) | (~patient(cell13)))),
% 1.42/1.48 inference(rewrite,[status(thm)],[])).
% 1.42/1.48 tff(3827,plain,
% 1.42/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell13) | (~patient(cell88)) | (~patient(cell13)))),
% 1.42/1.48 inference(quant_inst,[status(thm)],[])).
% 1.42/1.48 tff(3828,plain,
% 1.42/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell13) | (~patient(cell88)) | (~patient(cell13))),
% 1.42/1.48 inference(modus_ponens,[status(thm)],[3827, 3826])).
% 1.42/1.48 tff(3829,plain,
% 1.42/1.48 ($false),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3828, 1098, 28, 3825, 3798])).
% 1.42/1.48 tff(3830,plain,((~patient(cell13)) | (~patient(cell88))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.48 tff(3831,plain,
% 1.42/1.48 (~patient(cell13)),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3830, 3798])).
% 1.42/1.48 tff(3832,plain,
% 1.42/1.48 (patient(cell11)),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[1153, 3831, 3822, 3821, 3811])).
% 1.42/1.48 tff(3833,plain,
% 1.42/1.48 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell11) | (~patient(cell88)) | (~patient(cell11)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell11) | (~patient(cell88)) | (~patient(cell11)))),
% 1.42/1.48 inference(rewrite,[status(thm)],[])).
% 1.42/1.48 tff(3834,plain,
% 1.42/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell11) | (~patient(cell88)) | (~patient(cell11)))),
% 1.42/1.48 inference(quant_inst,[status(thm)],[])).
% 1.42/1.48 tff(3835,plain,
% 1.42/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell11) | (~patient(cell88)) | (~patient(cell11))),
% 1.42/1.48 inference(modus_ponens,[status(thm)],[3834, 3833])).
% 1.42/1.48 tff(3836,plain,
% 1.42/1.48 ($false),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3835, 3832, 28, 3801, 3798])).
% 1.42/1.48 tff(3837,plain,((~patient(cell88)) | patient(cell12)), inference(lemma,lemma(discharge,[]))).
% 1.42/1.48 tff(3838,plain,
% 1.42/1.48 (~patient(cell88)),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3837, 3797])).
% 1.42/1.48 tff(3839,assumption,(X!1 = cell88), introduced(assumption)).
% 1.42/1.48 tff(3840,plain,
% 1.42/1.48 (cell88 = X!1),
% 1.42/1.48 inference(symmetry,[status(thm)],[3839])).
% 1.42/1.48 tff(3841,plain,
% 1.42/1.48 (patient(cell88) <=> patient(X!1)),
% 1.42/1.48 inference(monotonicity,[status(thm)],[3840])).
% 1.42/1.48 tff(3842,plain,
% 1.42/1.48 (patient(X!1) <=> patient(cell88)),
% 1.42/1.48 inference(symmetry,[status(thm)],[3841])).
% 1.42/1.48 tff(3843,plain,
% 1.42/1.48 (patient(cell88)),
% 1.42/1.48 inference(modus_ponens,[status(thm)],[15, 3842])).
% 1.42/1.48 tff(3844,assumption,(~patient(cell88)), introduced(assumption)).
% 1.42/1.48 tff(3845,plain,
% 1.42/1.48 ($false),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3844, 3843])).
% 1.42/1.48 tff(3846,plain,(patient(cell88) | (~(X!1 = cell88))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.48 tff(3847,plain,
% 1.42/1.48 (~(X!1 = cell88)),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3846, 3838])).
% 1.42/1.48 tff(3848,plain,
% 1.42/1.48 ((~(X!1 = cell88)) | (~(cell89 = cell98))),
% 1.42/1.48 inference(unit_resolution,[status(thm)],[3745, 3847])).
% 1.42/1.48 tff(3849,plain,
% 1.42/1.48 ((cell79 = X!1) <=> (X!1 = cell79)),
% 1.42/1.48 inference(commutativity,[status(thm)],[])).
% 1.42/1.48 tff(3850,plain,
% 1.42/1.48 ((cell79 = cell11) <=> (cell79 = X!1)),
% 1.42/1.48 inference(monotonicity,[status(thm)],[44])).
% 1.42/1.48 tff(3851,plain,
% 1.42/1.48 ((cell79 = cell11) <=> (X!1 = cell79)),
% 1.42/1.48 inference(transitivity,[status(thm)],[3850, 3849])).
% 1.42/1.48 tff(3852,plain,
% 1.42/1.48 ((~(cell79 = cell11)) <=> (~(X!1 = cell79))),
% 1.42/1.48 inference(monotonicity,[status(thm)],[3851])).
% 1.42/1.48 tff(3853,plain,
% 1.42/1.48 (~(X!1 = cell79)),
% 1.42/1.48 inference(modus_ponens,[status(thm)],[830, 3852])).
% 1.42/1.48 tff(3854,plain,
% 1.42/1.48 (~((X!1 = cell88) | (X!1 = cell79) | (~((~(X!1 = cell90)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell88)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell81)))) | (~((~(X!1 = cell70)) | (~(cell89 = 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% 1.42/1.48 inference(unit_resolution,[status(thm)],[3793, 3853, 3847, 3848, 2191, 2189, 2187, 2185, 2183, 2181, 2179, 2170, 2168, 2166, 2164, 2162, 2160, 2158, 2149, 2147, 2145, 2143, 2141, 2139, 2137, 2135, 2133, 2124, 2122, 2120, 2118, 2116, 2114, 2112, 2110, 2108, 2106, 2097, 2095, 2093, 2091, 2089, 2087, 2085, 2083, 2081, 2079, 2070, 2068, 2066, 2064, 2062, 2060, 2058, 2056, 2054, 2052, 2043, 2041, 2039, 2037, 2035, 2033, 2031, 2029, 2027, 2025, 2016, 2014, 2012, 2010, 2008, 2006, 2004, 2002, 2000, 1991, 1989, 1987, 1985, 1983, 1981, 1979, 1977, 1975, 1966, 1957, 1948, 1939, 1930, 1921, 1912, 1903, 1894, 1885, 1876, 1867, 1858, 1849, 1840, 1831, 1822, 1813, 1804, 1795, 1786, 1777, 1768, 1759, 1750, 1741, 1732, 1723, 1714, 1705, 1696, 1687, 1678, 1669, 1660, 1651, 1642, 1633, 1624, 1615, 1606, 1597, 1588, 1579, 1570, 1561, 1552, 1543, 1534, 1525, 1516, 1507, 1498, 1489, 1480, 1471, 1462, 1453, 1444, 1435, 1426, 1417, 1408, 1399, 1390, 1381, 1372, 1363, 1354, 1345, 1336, 1327, 1318, 1309, 1300, 1291, 1282, 1273, 1264, 1255])).
% 1.42/1.48 tff(3855,assumption,(edge(X!1, Y!0)), introduced(assumption)).
% 1.42/1.48 tff(3856,plain,
% 1.42/1.48 (edge(X!1, cell89)),
% 1.42/1.48 inference(modus_ponens,[status(thm)],[3855, 2202])).
% 1.42/1.48 tff(3857,assumption,(~((X!1 = cell88) | (X!1 = cell79) | (~((~(X!1 = cell90)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell88)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell81)))) | (~((~(X!1 = cell70)) | (~(cell89 = cell80)))) | (~((~(X!1 = cell69)) | (~(cell89 = cell79)))) | (~((~(X!1 = cell68)) | (~(cell89 = cell78)))) | (~((~(X!1 = cell67)) | (~(cell89 = cell77)))) | (~((~(X!1 = cell66)) | (~(cell89 = cell76)))) | (~((~(X!1 = cell65)) | (~(cell89 = cell75)))) | (~((~(X!1 = cell64)) | (~(cell89 = cell74)))) | (~((~(X!1 = cell63)) | (~(cell89 = cell73)))) | (~((~(X!1 = cell62)) | (~(cell89 = cell72)))) | (~((~(X!1 = cell61)) | (~(cell89 = cell71)))) | (~((~(X!1 = cell60)) | (~(cell89 = cell70)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell69)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell68)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell67)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell66)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell65)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell64)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell63)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell62)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell61)))) | (~((~(X!1 = cell50)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell51)))) | (~((~(X!1 = cell40)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell41)))) | (~((~(X!1 = cell30)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell31)))) | (~((~(X!1 = cell20)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell21)))) | (~((~(X!1 = cell10)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell11)))) | (~((~(X!1 = cell99)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell98)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell97)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell96)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell95)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell94)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell93)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell92)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell91)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell79)) | (~(cell89 = cell80)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell79)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell78)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell77)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell76)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell75)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell74)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell73)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell72)))) | (~((~(X!1 = cell69)) | (~(cell89 = cell70)))) | (~((~(X!1 = cell68)) | (~(cell89 = cell69)))) | (~((~(X!1 = cell67)) | (~(cell89 = cell68)))) | (~((~(X!1 = cell66)) | (~(cell89 = cell67)))) | (~((~(X!1 = cell65)) | (~(cell89 = cell66)))) | (~((~(X!1 = cell64)) | (~(cell89 = cell65)))) | (~((~(X!1 = cell63)) | (~(cell89 = cell64)))) | (~((~(X!1 = cell62)) | (~(cell89 = cell63)))) | (~((~(X!1 = cell61)) | (~(cell89 = cell62)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell10)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell9)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell3)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell2)))))), introduced(assumption)).
% 1.42/1.49 tff(3858,plain,
% 1.42/1.49 ((~(edge(X!1, cell89) <=> ((X!1 = cell88) | (X!1 = cell79) | (~((~(X!1 = cell90)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell88)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell81)))) | (~((~(X!1 = cell70)) | (~(cell89 = cell80)))) | (~((~(X!1 = cell69)) | (~(cell89 = cell79)))) | (~((~(X!1 = cell68)) | (~(cell89 = cell78)))) | (~((~(X!1 = cell67)) | (~(cell89 = cell77)))) | (~((~(X!1 = cell66)) | (~(cell89 = cell76)))) | (~((~(X!1 = cell65)) | (~(cell89 = cell75)))) | (~((~(X!1 = cell64)) | (~(cell89 = cell74)))) | (~((~(X!1 = cell63)) | (~(cell89 = cell73)))) | (~((~(X!1 = cell62)) | (~(cell89 = cell72)))) | (~((~(X!1 = cell61)) | (~(cell89 = cell71)))) | (~((~(X!1 = cell60)) | (~(cell89 = cell70)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell69)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell68)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell67)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell66)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell65)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell64)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell63)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell62)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell61)))) | (~((~(X!1 = cell50)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell51)))) | (~((~(X!1 = cell40)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell41)))) | (~((~(X!1 = cell30)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell31)))) | (~((~(X!1 = cell20)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell21)))) | (~((~(X!1 = cell10)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell11)))) | (~((~(X!1 = cell99)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell98)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell97)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell96)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell95)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell94)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell93)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell92)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell91)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell84)) 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% 1.46/1.51 inference(commutativity,[status(thm)],[])).
% 1.46/1.51 tff(3948,plain,
% 1.46/1.51 ((cell90 = cell11) <=> (cell90 = X!1)),
% 1.46/1.51 inference(monotonicity,[status(thm)],[44])).
% 1.46/1.51 tff(3949,plain,
% 1.46/1.51 ((cell90 = cell11) <=> (X!1 = cell90)),
% 1.46/1.51 inference(transitivity,[status(thm)],[3948, 3947])).
% 1.46/1.51 tff(3950,plain,
% 1.46/1.51 ((~(cell90 = cell11)) <=> (~(X!1 = cell90))),
% 1.46/1.51 inference(monotonicity,[status(thm)],[3949])).
% 1.46/1.51 tff(3951,plain,
% 1.46/1.51 ((~(cell90 = cell11)) <=> (~(cell90 = cell11))),
% 1.46/1.51 inference(rewrite,[status(thm)],[])).
% 1.46/1.51 tff(3952,axiom,(~(cell90 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49912')).
% 1.46/1.51 tff(3953,plain,
% 1.46/1.51 (~(cell90 = cell11)),
% 1.46/1.51 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 1.46/1.51 tff(3954,plain,
% 1.46/1.51 (~(X!1 = cell90)),
% 1.46/1.51 inference(modus_ponens,[status(thm)],[3953, 3950])).
% 1.46/1.51 tff(3955,plain,
% 1.46/1.51 ((~((~((~(cell89 = cell90)) | (~(X!1 = cell100)))) | (X!1 = cell99) | (~((~(cell89 = cell88)) | (~(X!1 = cell98)))) | (~((~(cell89 = cell87)) | (~(X!1 = cell97)))) | (~((~(cell89 = cell86)) | (~(X!1 = cell96)))) | (~((~(cell89 = cell85)) | (~(X!1 = cell95)))) | (~((~(cell89 = cell84)) | (~(X!1 = cell94)))) | (~((~(cell89 = cell83)) | (~(X!1 = cell93)))) | (~((~(cell89 = cell82)) | (~(X!1 = cell92)))) | (~((~(cell89 = cell81)) | (~(X!1 = cell91)))) | (X!1 = cell90) | (~((~(cell89 = cell80)) | (~(X!1 = cell90)))) | (~((~(cell89 = cell79)) | (~(X!1 = cell89)))) | (~((~(cell89 = cell78)) | (~(X!1 = cell88)))) | (~((~(cell89 = cell77)) | (~(X!1 = cell87)))) | (~((~(cell89 = cell76)) | (~(X!1 = cell86)))) | (~((~(cell89 = cell75)) | (~(X!1 = cell85)))) | (~((~(cell89 = cell74)) | (~(X!1 = cell84)))) | (~((~(cell89 = cell73)) | (~(X!1 = cell83)))) | (~((~(cell89 = cell72)) | (~(X!1 = cell82)))) | (~((~(cell89 = cell71)) | (~(X!1 = cell81)))) | (~((~(cell89 = cell70)) | (~(X!1 = cell80)))) | (~((~(cell89 = cell69)) | (~(X!1 = cell79)))) | (~((~(cell89 = cell68)) | (~(X!1 = cell78)))) | (~((~(cell89 = cell67)) | (~(X!1 = cell77)))) | (~((~(cell89 = cell66)) | (~(X!1 = cell76)))) | (~((~(cell89 = cell65)) | (~(X!1 = cell75)))) | (~((~(cell89 = cell64)) | (~(X!1 = cell74)))) | (~((~(cell89 = cell63)) | (~(X!1 = cell73)))) | (~((~(cell89 = cell62)) | (~(X!1 = cell72)))) | (~((~(cell89 = cell61)) | (~(X!1 = cell71)))) | (~((~(cell89 = cell60)) | (~(X!1 = cell70)))) | (~((~(cell89 = cell59)) | (~(X!1 = cell69)))) | (~((~(cell89 = cell58)) | (~(X!1 = cell68)))) | (~((~(cell89 = cell57)) | (~(X!1 = cell67)))) | (~((~(cell89 = cell56)) | (~(X!1 = cell66)))) | (~((~(cell89 = cell55)) | (~(X!1 = cell65)))) | (~((~(cell89 = cell54)) | (~(X!1 = cell64)))) | (~((~(cell89 = cell53)) | (~(X!1 = cell63)))) | (~((~(cell89 = cell52)) | (~(X!1 = cell62)))) | (~((~(cell89 = cell51)) | (~(X!1 = cell61)))) | (~((~(cell89 = cell50)) | (~(X!1 = cell60)))) | (~((~(cell89 = cell49)) | (~(X!1 = cell59)))) | (~((~(cell89 = cell48)) | (~(X!1 = cell58)))) | (~((~(cell89 = cell47)) | (~(X!1 = cell57)))) | (~((~(cell89 = cell46)) | (~(X!1 = cell56)))) | (~((~(cell89 = cell45)) | (~(X!1 = cell55)))) | (~((~(cell89 = cell44)) | (~(X!1 = cell54)))) | (~((~(cell89 = cell43)) | (~(X!1 = cell53)))) | (~((~(cell89 = cell42)) | (~(X!1 = cell52)))) | (~((~(cell89 = cell41)) | (~(X!1 = cell51)))) | (~((~(cell89 = cell40)) | (~(X!1 = cell50)))) | (~((~(cell89 = cell39)) | (~(X!1 = cell49)))) | (~((~(cell89 = cell38)) | (~(X!1 = cell48)))) | (~((~(cell89 = cell37)) | (~(X!1 = cell47)))) | (~((~(cell89 = cell36)) | (~(X!1 = cell46)))) | (~((~(cell89 = cell35)) | (~(X!1 = cell45)))) | (~((~(cell89 = cell34)) | (~(X!1 = cell44)))) | (~((~(cell89 = cell33)) | (~(X!1 = cell43)))) | (~((~(cell89 = cell32)) | (~(X!1 = cell42)))) | (~((~(cell89 = cell31)) | (~(X!1 = cell41)))) | (~((~(cell89 = cell30)) | (~(X!1 = cell40)))) | (~((~(cell89 = cell29)) | (~(X!1 = cell39)))) | (~((~(cell89 = cell28)) | (~(X!1 = cell38)))) | (~((~(cell89 = cell27)) | (~(X!1 = cell37)))) | (~((~(cell89 = cell26)) | (~(X!1 = cell36)))) | (~((~(cell89 = cell25)) | (~(X!1 = cell35)))) | (~((~(cell89 = cell24)) | (~(X!1 = cell34)))) | (~((~(cell89 = cell23)) | (~(X!1 = cell33)))) | (~((~(cell89 = cell22)) | (~(X!1 = cell32)))) | (~((~(cell89 = cell21)) | (~(X!1 = cell31)))) | (~((~(cell89 = cell20)) | (~(X!1 = cell30)))) | (~((~(cell89 = cell19)) | (~(X!1 = cell29)))) | (~((~(cell89 = cell18)) | (~(X!1 = cell28)))) | (~((~(cell89 = cell17)) | (~(X!1 = cell27)))) | (~((~(cell89 = cell16)) | (~(X!1 = cell26)))) | (~((~(cell89 = cell15)) | (~(X!1 = cell25)))) | (~((~(cell89 = cell14)) | (~(X!1 = cell24)))) | (~((~(cell89 = cell13)) | (~(X!1 = cell23)))) | (~((~(cell89 = cell12)) | (~(X!1 = cell22)))) | (~((~(cell89 = cell11)) | (~(X!1 = cell21)))) | (~((~(cell89 = cell10)) | (~(X!1 = cell20)))) | (~((~(cell89 = cell9)) | (~(X!1 = cell19)))) | (~((~(cell89 = cell8)) | (~(X!1 = cell18)))) | (~((~(cell89 = cell7)) | (~(X!1 = cell17)))) | (~((~(cell89 = cell6)) | (~(X!1 = cell16)))) | (~((~(cell89 = cell5)) | (~(X!1 = cell15)))) | (~((~(cell89 = cell4)) | (~(X!1 = cell14)))) | (~((~(cell89 = cell3)) | (~(X!1 = cell13)))) | (~((~(cell89 = cell2)) | (~(X!1 = cell12)))) | (~((~(cell89 = cell1)) | (~(X!1 = cell11)))) | (~((~(cell89 = cell99)) | (~(X!1 = cell100)))) | (~((~(cell89 = cell88)) | (~(X!1 = cell89)))) | (~((~(cell89 = cell87)) | (~(X!1 = cell88)))) | (~((~(cell89 = cell86)) | (~(X!1 = cell87)))) | (~((~(cell89 = cell85)) | (~(X!1 = cell86)))) | (~((~(cell89 = cell84)) | (~(X!1 = cell85)))) | (~((~(cell89 = cell83)) | (~(X!1 = cell84)))) | (~((~(cell89 = cell82)) | (~(X!1 = cell83)))) | (~((~(cell89 = cell81)) | (~(X!1 = cell82)))) | (~((~(cell89 = cell79)) | (~(X!1 = cell80)))) | (~((~(cell89 = cell78)) | (~(X!1 = cell79)))) | (~((~(cell89 = cell77)) | (~(X!1 = cell78)))) | (~((~(cell89 = cell76)) | (~(X!1 = cell77)))) | (~((~(cell89 = cell75)) | (~(X!1 = cell76)))) | (~((~(cell89 = cell74)) | (~(X!1 = cell75)))) | (~((~(cell89 = cell73)) | (~(X!1 = cell74)))) | (~((~(cell89 = cell72)) | (~(X!1 = cell73)))) | (~((~(cell89 = cell71)) | (~(X!1 = cell72)))) | (~((~(cell89 = cell69)) | (~(X!1 = cell70)))) | (~((~(cell89 = cell68)) | (~(X!1 = cell69)))) | (~((~(cell89 = cell67)) | (~(X!1 = cell68)))) | (~((~(cell89 = cell66)) | (~(X!1 = cell67)))) | (~((~(cell89 = cell65)) | (~(X!1 = cell66)))) | (~((~(cell89 = cell64)) | (~(X!1 = cell65)))) | (~((~(cell89 = cell63)) | (~(X!1 = cell64)))) | (~((~(cell89 = cell62)) | (~(X!1 = cell63)))) | (~((~(cell89 = cell61)) | (~(X!1 = cell62)))) | (~((~(cell89 = cell59)) | (~(X!1 = cell60)))) | (~((~(cell89 = cell58)) | (~(X!1 = cell59)))) | (~((~(cell89 = cell57)) | (~(X!1 = cell58)))) | (~((~(cell89 = cell56)) | (~(X!1 = cell57)))) | (~((~(cell89 = cell55)) | (~(X!1 = cell56)))) | (~((~(cell89 = cell54)) | (~(X!1 = cell55)))) | (~((~(cell89 = cell53)) | (~(X!1 = cell54)))) | (~((~(cell89 = cell52)) | (~(X!1 = cell53)))) | (~((~(cell89 = cell51)) | (~(X!1 = cell52)))) | (~((~(cell89 = cell49)) | (~(X!1 = cell50)))) | (~((~(cell89 = cell48)) | (~(X!1 = cell49)))) | (~((~(cell89 = cell47)) | (~(X!1 = cell48)))) | (~((~(cell89 = cell46)) | (~(X!1 = cell47)))) | (~((~(cell89 = cell45)) | (~(X!1 = cell46)))) | (~((~(cell89 = cell44)) | (~(X!1 = cell45)))) | (~((~(cell89 = cell43)) | (~(X!1 = cell44)))) | (~((~(cell89 = cell42)) | (~(X!1 = cell43)))) | (~((~(cell89 = cell41)) | (~(X!1 = cell42)))) | (~((~(cell89 = cell39)) | (~(X!1 = cell40)))) | (~((~(cell89 = cell38)) | (~(X!1 = cell39)))) | (~((~(cell89 = cell37)) | (~(X!1 = cell38)))) | (~((~(cell89 = cell36)) | (~(X!1 = cell37)))) | (~((~(cell89 = cell35)) | (~(X!1 = cell36)))) | (~((~(cell89 = cell34)) | (~(X!1 = cell35)))) | (~((~(cell89 = cell33)) | (~(X!1 = cell34)))) | (~((~(cell89 = cell32)) | (~(X!1 = cell33)))) | (~((~(cell89 = cell31)) | (~(X!1 = cell32)))) | (~((~(cell89 = cell29)) | (~(X!1 = cell30)))) | (~((~(cell89 = cell28)) | (~(X!1 = cell29)))) | (~((~(cell89 = cell27)) | (~(X!1 = cell28)))) | (~((~(cell89 = cell26)) | (~(X!1 = cell27)))) | (~((~(cell89 = cell25)) | (~(X!1 = cell26)))) | (~((~(cell89 = cell24)) | (~(X!1 = cell25)))) | (~((~(cell89 = cell23)) | (~(X!1 = cell24)))) | (~((~(cell89 = cell22)) | (~(X!1 = cell23)))) | (~((~(cell89 = cell21)) | (~(X!1 = cell22)))) | (~((~(cell89 = cell19)) | (~(X!1 = cell20)))) | (~((~(cell89 = cell18)) | (~(X!1 = cell19)))) | (~((~(cell89 = cell17)) | (~(X!1 = cell18)))) | (~((~(cell89 = cell16)) | (~(X!1 = cell17)))) | (~((~(cell89 = cell15)) | (~(X!1 = cell16)))) | (~((~(cell89 = cell14)) | (~(X!1 = cell15)))) | (~((~(cell89 = cell13)) | (~(X!1 = cell14)))) | (~((~(cell89 = cell12)) | (~(X!1 = cell13)))) | (~((~(cell89 = cell11)) | (~(X!1 = cell12)))) | (~((~(cell89 = cell9)) | (~(X!1 = cell10)))) | (~((~(cell89 = cell8)) | (~(X!1 = cell9)))) | (~((~(cell89 = cell7)) | (~(X!1 = cell8)))) | (~((~(cell89 = cell6)) | (~(X!1 = cell7)))) | (~((~(cell89 = cell5)) | (~(X!1 = cell6)))) | (~((~(cell89 = cell4)) | (~(X!1 = cell5)))) | (~((~(cell89 = cell3)) | (~(X!1 = cell4)))) | (~((~(cell89 = cell2)) | (~(X!1 = cell3)))) | (~((~(cell89 = cell1)) | (~(X!1 = cell2)))) | (~((~(X!1 = cell99)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell98)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell97)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell96)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell95)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell94)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell93)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell92)) | (~(cell89 = cell91)))))) | (~((~(cell89 = cell1)) | (~(X!1 = cell11))))),
% 1.46/1.51 inference(unit_resolution,[status(thm)],[2686, 3954, 3935, 2685, 2680, 2627, 2629, 2625, 2623, 2621, 2619, 2617, 3946, 2678, 2604, 2602, 2600, 2598, 2596, 2594, 2592, 2590, 2588, 2586, 2584, 2582, 2580, 2578, 2576, 2574, 2572, 2570, 2568, 2566, 2564, 2562, 2560, 2558, 2556, 2554, 2552, 2550, 2548, 2546, 2544, 2542, 2540, 2538, 2536, 2534, 2532, 2530, 2528, 2526, 2524, 2522, 2520, 2518, 2516, 2514, 2512, 2510, 2508, 2506, 2504, 2502, 2500, 2498, 2496, 2494, 2676, 2492, 2490, 2488, 2486, 2484, 2482, 2480, 2478, 2674, 2672, 2670, 2476, 2474, 2472, 2470, 2468, 2466, 2464, 2462, 2668, 2666, 2661, 2458, 2456, 2454, 2452, 2450, 2448, 2446, 2656, 2444, 2442, 2440, 2438, 2436, 2434, 2432, 2430, 2428, 2426, 2424, 2422, 2420, 2418, 2416, 2414, 2412, 2410, 2408, 2406, 2404, 2402, 2400, 2398, 2396, 2394, 2392, 2390, 2388, 2386, 2384, 2382, 2380, 2378, 2376, 2374, 2372, 2370, 2368, 2366, 2364, 2362, 2360, 2358, 2356, 2354, 2352, 2350, 2348, 2346, 2344, 2654, 2342, 2340, 2338, 2336, 2334, 2332, 2330, 2649, 2644, 2639, 2328, 2326, 2324, 2322, 2320, 2318, 2316, 2634, 3944, 3936, 3927, 3918, 3909, 3900, 3892, 3883, 3874])).
% 1.46/1.51 tff(3956,plain,
% 1.46/1.51 ($false),
% 1.46/1.51 inference(unit_resolution,[status(thm)],[3955, 2460, 3865])).
% 1.46/1.51 tff(3957,plain,((~(cell11 = X!1)) | (~(Y!0 = cell89))), inference(lemma,lemma(discharge,[]))).
% 1.46/1.52 tff(3958,plain,
% 1.46/1.52 (~(cell11 = X!1)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3957, 2192])).
% 1.46/1.52 tff(3959,plain,
% 1.46/1.52 (~patient(cell11)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[1077, 3958])).
% 1.46/1.52 tff(3960,assumption,(patient(cell90)), introduced(assumption)).
% 1.46/1.52 tff(3961,plain,
% 1.46/1.52 ((~(cell90 = cell13)) <=> (~(cell90 = cell13))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3962,axiom,(~(cell90 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49914')).
% 1.46/1.52 tff(3963,plain,
% 1.46/1.52 (~(cell90 = cell13)),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[3962, 3961])).
% 1.46/1.52 tff(3964,plain,
% 1.46/1.52 ((~(cell90 = cell22)) <=> (~(cell90 = cell22))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3965,axiom,(~(cell90 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49915')).
% 1.46/1.52 tff(3966,plain,
% 1.46/1.52 (~(cell90 = cell22)),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[3965, 3964])).
% 1.46/1.52 tff(3967,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell22) | (~patient(cell22)) | (~patient(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell22) | (~patient(cell22)) | (~patient(cell90)))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3968,plain,
% 1.46/1.52 (((cell90 = cell22) | (~patient(cell90)) | (~patient(cell22))) <=> ((cell90 = cell22) | (~patient(cell22)) | (~patient(cell90)))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3969,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell22) | (~patient(cell90)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell22) | (~patient(cell22)) | (~patient(cell90))))),
% 1.46/1.52 inference(monotonicity,[status(thm)],[3968])).
% 1.46/1.52 tff(3970,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell22) | (~patient(cell90)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell22) | (~patient(cell22)) | (~patient(cell90)))),
% 1.46/1.52 inference(transitivity,[status(thm)],[3969, 3967])).
% 1.46/1.52 tff(3971,plain,
% 1.46/1.52 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell22) | (~patient(cell90)) | (~patient(cell22)))),
% 1.46/1.52 inference(quant_inst,[status(thm)],[])).
% 1.46/1.52 tff(3972,plain,
% 1.46/1.52 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell22) | (~patient(cell22)) | (~patient(cell90))),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 1.46/1.52 tff(3973,plain,
% 1.46/1.52 ($false),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3972, 3815, 28, 3966, 3960])).
% 1.46/1.52 tff(3974,plain,((~patient(cell22)) | (~patient(cell90))), inference(lemma,lemma(discharge,[]))).
% 1.46/1.52 tff(3975,plain,
% 1.46/1.52 (~patient(cell22)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3974, 3960])).
% 1.46/1.52 tff(3976,plain,
% 1.46/1.52 ((~(cell90 = cell2)) <=> (~(cell90 = cell2))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3977,axiom,(~(cell90 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49913')).
% 1.46/1.52 tff(3978,plain,
% 1.46/1.52 (~(cell90 = cell2)),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[3977, 3976])).
% 1.46/1.52 tff(3979,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell2) | (~patient(cell2)) | (~patient(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell2) | (~patient(cell2)) | (~patient(cell90)))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3980,plain,
% 1.46/1.52 (((cell90 = cell2) | (~patient(cell90)) | (~patient(cell2))) <=> ((cell90 = cell2) | (~patient(cell2)) | (~patient(cell90)))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3981,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell2) | (~patient(cell90)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell2) | (~patient(cell2)) | (~patient(cell90))))),
% 1.46/1.52 inference(monotonicity,[status(thm)],[3980])).
% 1.46/1.52 tff(3982,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell2) | (~patient(cell90)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell2) | (~patient(cell2)) | (~patient(cell90)))),
% 1.46/1.52 inference(transitivity,[status(thm)],[3981, 3979])).
% 1.46/1.52 tff(3983,plain,
% 1.46/1.52 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell2) | (~patient(cell90)) | (~patient(cell2)))),
% 1.46/1.52 inference(quant_inst,[status(thm)],[])).
% 1.46/1.52 tff(3984,plain,
% 1.46/1.52 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell2) | (~patient(cell2)) | (~patient(cell90))),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 1.46/1.52 tff(3985,plain,
% 1.46/1.52 ($false),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3984, 3805, 28, 3978, 3960])).
% 1.46/1.52 tff(3986,plain,((~patient(cell2)) | (~patient(cell90))), inference(lemma,lemma(discharge,[]))).
% 1.46/1.52 tff(3987,plain,
% 1.46/1.52 (~patient(cell2)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3986, 3960])).
% 1.46/1.52 tff(3988,plain,
% 1.46/1.52 (patient(cell13)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[1153, 3987, 3822, 1117, 3975])).
% 1.46/1.52 tff(3989,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell13) | (~patient(cell13)) | (~patient(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell13) | (~patient(cell13)) | (~patient(cell90)))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3990,plain,
% 1.46/1.52 (((cell90 = cell13) | (~patient(cell90)) | (~patient(cell13))) <=> ((cell90 = cell13) | (~patient(cell13)) | (~patient(cell90)))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(3991,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell13) | (~patient(cell90)) | (~patient(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell13) | (~patient(cell13)) | (~patient(cell90))))),
% 1.46/1.52 inference(monotonicity,[status(thm)],[3990])).
% 1.46/1.52 tff(3992,plain,
% 1.46/1.52 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell13) | (~patient(cell90)) | (~patient(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell13) | (~patient(cell13)) | (~patient(cell90)))),
% 1.46/1.52 inference(transitivity,[status(thm)],[3991, 3989])).
% 1.46/1.52 tff(3993,plain,
% 1.46/1.52 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell90 = cell13) | (~patient(cell90)) | (~patient(cell13)))),
% 1.46/1.52 inference(quant_inst,[status(thm)],[])).
% 1.46/1.52 tff(3994,plain,
% 1.46/1.52 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell90 = cell13) | (~patient(cell13)) | (~patient(cell90))),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 1.46/1.52 tff(3995,plain,
% 1.46/1.52 ($false),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3994, 3988, 28, 3963, 3960])).
% 1.46/1.52 tff(3996,plain,((~patient(cell90)) | patient(cell12) | patient(cell11)), inference(lemma,lemma(discharge,[]))).
% 1.46/1.52 tff(3997,plain,
% 1.46/1.52 (~patient(cell90)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3996, 3797, 3959])).
% 1.46/1.52 tff(3998,assumption,(X!1 = cell90), introduced(assumption)).
% 1.46/1.52 tff(3999,plain,
% 1.46/1.52 (cell90 = X!1),
% 1.46/1.52 inference(symmetry,[status(thm)],[3998])).
% 1.46/1.52 tff(4000,plain,
% 1.46/1.52 (patient(cell90) <=> patient(X!1)),
% 1.46/1.52 inference(monotonicity,[status(thm)],[3999])).
% 1.46/1.52 tff(4001,plain,
% 1.46/1.52 (patient(X!1) <=> patient(cell90)),
% 1.46/1.52 inference(symmetry,[status(thm)],[4000])).
% 1.46/1.52 tff(4002,plain,
% 1.46/1.52 (patient(cell90)),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[15, 4001])).
% 1.46/1.52 tff(4003,assumption,(~patient(cell90)), introduced(assumption)).
% 1.46/1.52 tff(4004,plain,
% 1.46/1.52 ($false),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[4003, 4002])).
% 1.46/1.52 tff(4005,plain,(patient(cell90) | (~(X!1 = cell90))), inference(lemma,lemma(discharge,[]))).
% 1.46/1.52 tff(4006,plain,
% 1.46/1.52 (~(X!1 = cell90)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[4005, 3997])).
% 1.46/1.52 tff(4007,plain,
% 1.46/1.52 ((cell79 = cell13) <=> (cell79 = X!1)),
% 1.46/1.52 inference(monotonicity,[status(thm)],[1079])).
% 1.46/1.52 tff(4008,plain,
% 1.46/1.52 ((cell79 = cell13) <=> (X!1 = cell79)),
% 1.46/1.52 inference(transitivity,[status(thm)],[4007, 3849])).
% 1.46/1.52 tff(4009,plain,
% 1.46/1.52 ((~(cell79 = cell13)) <=> (~(X!1 = cell79))),
% 1.46/1.52 inference(monotonicity,[status(thm)],[4008])).
% 1.46/1.52 tff(4010,plain,
% 1.46/1.52 (~(X!1 = cell79)),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[144, 4009])).
% 1.46/1.52 tff(4011,plain,
% 1.46/1.52 (~((X!1 = cell88) | (X!1 = cell79) | (~((~(X!1 = cell90)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell88)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell81)))) | (~((~(X!1 = cell70)) | (~(cell89 = 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(~((~(X!1 = cell7)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell11)))) | (~((~(X!1 = cell99)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell98)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell97)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell96)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell95)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell94)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell93)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell92)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell91)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell85)))) 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cell62)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell10)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell9)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell3)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell2)))))),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3793, 4010, 3847, 3848, 2191, 2189, 2187, 2185, 2183, 2181, 2179, 2170, 2168, 2166, 2164, 2162, 2160, 2158, 2149, 2147, 2145, 2143, 2141, 2139, 2137, 2135, 2133, 2124, 2122, 2120, 2118, 2116, 2114, 2112, 2110, 2108, 2106, 2097, 2095, 2093, 2091, 2089, 2087, 2085, 2083, 2081, 2079, 2070, 2068, 2066, 2064, 2062, 2060, 2058, 2056, 2054, 2052, 2043, 2041, 2039, 2037, 2035, 2033, 2031, 2029, 2027, 2025, 2016, 2014, 2012, 2010, 2008, 2006, 2004, 2002, 2000, 1991, 1989, 1987, 1985, 1983, 1981, 1979, 1977, 1975, 1966, 1957, 1948, 1939, 1930, 1921, 1912, 1903, 1894, 1885, 1876, 1867, 1858, 1849, 1840, 1831, 1822, 1813, 1804, 1795, 1786, 1777, 1768, 1759, 1750, 1741, 1732, 1723, 1714, 1705, 1696, 1687, 1678, 1669, 1660, 1651, 1642, 1633, 1624, 1615, 1606, 1597, 1588, 1579, 1570, 1561, 1552, 1543, 1534, 1525, 1516, 1507, 1498, 1489, 1480, 1471, 1462, 1453, 1444, 1435, 1426, 1417, 1408, 1399, 1390, 1381, 1372, 1363, 1354, 1345, 1336, 1327, 1318, 1309, 1300, 1291, 1282, 1273, 1264, 1255])).
% 1.46/1.52 tff(4012,plain,
% 1.46/1.52 (~edge(X!1, Y!0)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[3861, 4011, 2192])).
% 1.46/1.52 tff(4013,plain,
% 1.46/1.52 (edge(Y!0, X!1)),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[2705, 4012])).
% 1.46/1.52 tff(4014,plain,
% 1.46/1.52 (edge(cell89, X!1)),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[4013, 2212])).
% 1.46/1.52 tff(4015,plain,
% 1.46/1.52 ((cell99 = cell13) <=> (cell99 = X!1)),
% 1.46/1.52 inference(monotonicity,[status(thm)],[1079])).
% 1.46/1.52 tff(4016,plain,
% 1.46/1.52 ((cell99 = cell13) <=> (X!1 = cell99)),
% 1.46/1.52 inference(transitivity,[status(thm)],[4015, 3928])).
% 1.46/1.52 tff(4017,plain,
% 1.46/1.52 ((~(cell99 = cell13)) <=> (~(X!1 = cell99))),
% 1.46/1.52 inference(monotonicity,[status(thm)],[4016])).
% 1.46/1.52 tff(4018,plain,
% 1.46/1.52 ((~(cell99 = cell13)) <=> (~(cell99 = cell13))),
% 1.46/1.52 inference(rewrite,[status(thm)],[])).
% 1.46/1.52 tff(4019,axiom,(~(cell99 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49919')).
% 1.46/1.52 tff(4020,plain,
% 1.46/1.52 (~(cell99 = cell13)),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[4019, 4018])).
% 1.46/1.52 tff(4021,plain,
% 1.46/1.52 (~(X!1 = cell99)),
% 1.46/1.52 inference(modus_ponens,[status(thm)],[4020, 4017])).
% 1.46/1.52 tff(4022,plain,
% 1.46/1.52 (((~(X!1 = cell92)) | (~(cell89 = cell91))) | (cell89 = cell91)),
% 1.46/1.52 inference(tautology,[status(thm)],[])).
% 1.46/1.52 tff(4023,plain,
% 1.46/1.52 ((~(X!1 = cell92)) | (~(cell89 = cell91))),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[4022, 2177])).
% 1.46/1.52 tff(4024,plain,
% 1.46/1.52 (((~(X!1 = cell93)) | (~(cell89 = cell92))) | (cell89 = cell92)),
% 1.46/1.52 inference(tautology,[status(thm)],[])).
% 1.46/1.52 tff(4025,plain,
% 1.46/1.52 ((~(X!1 = cell93)) | (~(cell89 = cell92))),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[4024, 1919])).
% 1.46/1.52 tff(4026,plain,
% 1.46/1.52 (((~(X!1 = cell94)) | (~(cell89 = cell93))) | (cell89 = cell93)),
% 1.46/1.52 inference(tautology,[status(thm)],[])).
% 1.46/1.52 tff(4027,plain,
% 1.46/1.52 ((~(X!1 = cell94)) | (~(cell89 = cell93))),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[4026, 1928])).
% 1.46/1.52 tff(4028,plain,
% 1.46/1.52 (((~(X!1 = cell95)) | (~(cell89 = cell94))) | (cell89 = cell94)),
% 1.46/1.52 inference(tautology,[status(thm)],[])).
% 1.46/1.52 tff(4029,plain,
% 1.46/1.52 ((~(X!1 = cell95)) | (~(cell89 = cell94))),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[4028, 1937])).
% 1.46/1.52 tff(4030,plain,
% 1.46/1.52 (((~(X!1 = cell96)) | (~(cell89 = cell95))) | (cell89 = cell95)),
% 1.46/1.52 inference(tautology,[status(thm)],[])).
% 1.46/1.52 tff(4031,plain,
% 1.46/1.52 ((~(X!1 = cell96)) | (~(cell89 = cell95))),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[4030, 1946])).
% 1.46/1.52 tff(4032,plain,
% 1.46/1.52 (((~(X!1 = cell97)) | (~(cell89 = cell96))) | (cell89 = cell96)),
% 1.46/1.52 inference(tautology,[status(thm)],[])).
% 1.46/1.52 tff(4033,plain,
% 1.46/1.52 ((~(X!1 = cell97)) | (~(cell89 = cell96))),
% 1.46/1.52 inference(unit_resolution,[status(thm)],[4032, 1955])).
% 1.46/1.52 tff(4034,plain,
% 1.46/1.53 (((~(X!1 = cell98)) | (~(cell89 = cell97))) | (cell89 = cell97)),
% 1.46/1.53 inference(tautology,[status(thm)],[])).
% 1.46/1.53 tff(4035,plain,
% 1.46/1.53 ((~(X!1 = cell98)) | (~(cell89 = cell97))),
% 1.46/1.53 inference(unit_resolution,[status(thm)],[4034, 1964])).
% 1.46/1.53 tff(4036,plain,
% 1.46/1.53 (((~(X!1 = cell99)) | (~(cell89 = cell98))) | (cell89 = cell98)),
% 1.46/1.53 inference(tautology,[status(thm)],[])).
% 1.46/1.53 tff(4037,plain,
% 1.46/1.53 ((~(X!1 = cell99)) | (~(cell89 = cell98))),
% 1.46/1.53 inference(unit_resolution,[status(thm)],[4036, 1973])).
% 1.46/1.53 tff(4038,plain,
% 1.46/1.53 ((cell11 = X!1) <=> (X!1 = cell11)),
% 1.46/1.53 inference(commutativity,[status(thm)],[])).
% 1.46/1.53 tff(4039,plain,
% 1.46/1.53 ((~(cell11 = X!1)) <=> (~(X!1 = cell11))),
% 1.46/1.53 inference(monotonicity,[status(thm)],[4038])).
% 1.46/1.53 tff(4040,plain,
% 1.46/1.53 (~(X!1 = cell11)),
% 1.46/1.53 inference(modus_ponens,[status(thm)],[3958, 4039])).
% 1.46/1.53 tff(4041,plain,
% 1.46/1.53 (((~(cell89 = cell1)) | (~(X!1 = cell11))) | (X!1 = cell11)),
% 1.46/1.53 inference(tautology,[status(thm)],[])).
% 1.46/1.53 tff(4042,plain,
% 1.46/1.53 ((~(cell89 = cell1)) | (~(X!1 = cell11))),
% 1.46/1.53 inference(unit_resolution,[status(thm)],[4041, 4040])).
% 1.46/1.53 tff(4043,plain,
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% 1.50/1.54 inference(unit_resolution,[status(thm)],[4043, 4021, 4006, 2314])).
% 1.50/1.54 tff(4045,plain,
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% 1.50/1.54 inference(unit_resolution,[status(thm)],[2215, 4044])).
% 1.50/1.54 tff(4046,plain,
% 1.50/1.54 (~edge(cell89, X!1)),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4045, 2210])).
% 1.50/1.54 tff(4047,plain,
% 1.50/1.54 ($false),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4046, 4014])).
% 1.50/1.54 tff(4048,plain,((~(cell13 = X!1)) | (~(Y!0 = cell89))), inference(lemma,lemma(discharge,[]))).
% 1.50/1.54 tff(4049,plain,
% 1.50/1.54 (~(cell13 = X!1)),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4048, 2192])).
% 1.50/1.54 tff(4050,plain,
% 1.50/1.54 (~patient(cell13)),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[1106, 4049])).
% 1.50/1.54 tff(4051,assumption,(patient(cell99)), introduced(assumption)).
% 1.50/1.54 tff(4052,plain,
% 1.50/1.54 ((~(cell99 = cell2)) <=> (~(cell99 = cell2))),
% 1.50/1.54 inference(rewrite,[status(thm)],[])).
% 1.50/1.54 tff(4053,axiom,(~(cell99 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49918')).
% 1.50/1.54 tff(4054,plain,
% 1.50/1.54 (~(cell99 = cell2)),
% 1.50/1.54 inference(modus_ponens,[status(thm)],[4053, 4052])).
% 1.50/1.54 tff(4055,plain,
% 1.50/1.54 ((~(cell99 = cell22)) <=> (~(cell99 = cell22))),
% 1.50/1.54 inference(rewrite,[status(thm)],[])).
% 1.50/1.54 tff(4056,axiom,(~(cell99 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49920')).
% 1.50/1.54 tff(4057,plain,
% 1.50/1.54 (~(cell99 = cell22)),
% 1.50/1.54 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 1.50/1.54 tff(4058,plain,
% 1.50/1.54 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell22) | (~patient(cell22)) | (~patient(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell99 = cell22) | (~patient(cell22)) | (~patient(cell99)))),
% 1.50/1.54 inference(rewrite,[status(thm)],[])).
% 1.50/1.54 tff(4059,plain,
% 1.50/1.54 (((cell99 = cell22) | (~patient(cell99)) | (~patient(cell22))) <=> ((cell99 = cell22) | (~patient(cell22)) | (~patient(cell99)))),
% 1.50/1.54 inference(rewrite,[status(thm)],[])).
% 1.50/1.54 tff(4060,plain,
% 1.50/1.54 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell22) | (~patient(cell99)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell22) | (~patient(cell22)) | (~patient(cell99))))),
% 1.50/1.54 inference(monotonicity,[status(thm)],[4059])).
% 1.50/1.54 tff(4061,plain,
% 1.50/1.54 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell22) | (~patient(cell99)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell99 = cell22) | (~patient(cell22)) | (~patient(cell99)))),
% 1.50/1.54 inference(transitivity,[status(thm)],[4060, 4058])).
% 1.50/1.54 tff(4062,plain,
% 1.50/1.54 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell22) | (~patient(cell99)) | (~patient(cell22)))),
% 1.50/1.54 inference(quant_inst,[status(thm)],[])).
% 1.50/1.54 tff(4063,plain,
% 1.50/1.54 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell99 = cell22) | (~patient(cell22)) | (~patient(cell99))),
% 1.50/1.54 inference(modus_ponens,[status(thm)],[4062, 4061])).
% 1.50/1.54 tff(4064,plain,
% 1.50/1.54 ($false),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4063, 3815, 28, 4057, 4051])).
% 1.50/1.54 tff(4065,plain,((~patient(cell22)) | (~patient(cell99))), inference(lemma,lemma(discharge,[]))).
% 1.50/1.54 tff(4066,plain,
% 1.50/1.54 (~patient(cell22)),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4065, 4051])).
% 1.50/1.54 tff(4067,plain,
% 1.50/1.54 (patient(cell2)),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[1153, 4066, 3822, 1117, 1116])).
% 1.50/1.54 tff(4068,plain,
% 1.50/1.54 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell2) | (~patient(cell2)) | (~patient(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell99 = cell2) | (~patient(cell2)) | (~patient(cell99)))),
% 1.50/1.54 inference(rewrite,[status(thm)],[])).
% 1.50/1.54 tff(4069,plain,
% 1.50/1.54 (((cell99 = cell2) | (~patient(cell99)) | (~patient(cell2))) <=> ((cell99 = cell2) | (~patient(cell2)) | (~patient(cell99)))),
% 1.50/1.54 inference(rewrite,[status(thm)],[])).
% 1.50/1.54 tff(4070,plain,
% 1.50/1.54 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell2) | (~patient(cell99)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell2) | (~patient(cell2)) | (~patient(cell99))))),
% 1.50/1.54 inference(monotonicity,[status(thm)],[4069])).
% 1.50/1.54 tff(4071,plain,
% 1.50/1.54 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell2) | (~patient(cell99)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell99 = cell2) | (~patient(cell2)) | (~patient(cell99)))),
% 1.50/1.54 inference(transitivity,[status(thm)],[4070, 4068])).
% 1.50/1.54 tff(4072,plain,
% 1.50/1.54 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell99 = cell2) | (~patient(cell99)) | (~patient(cell2)))),
% 1.50/1.54 inference(quant_inst,[status(thm)],[])).
% 1.50/1.54 tff(4073,plain,
% 1.50/1.54 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell99 = cell2) | (~patient(cell2)) | (~patient(cell99))),
% 1.50/1.54 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 1.50/1.54 tff(4074,plain,
% 1.50/1.54 ($false),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4073, 4067, 28, 4054, 4051])).
% 1.50/1.54 tff(4075,plain,((~patient(cell99)) | patient(cell12) | patient(cell11) | patient(cell13)), inference(lemma,lemma(discharge,[]))).
% 1.50/1.54 tff(4076,plain,
% 1.50/1.54 (~patient(cell99)),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4075, 3797, 3959, 4050])).
% 1.50/1.54 tff(4077,assumption,(X!1 = cell99), introduced(assumption)).
% 1.50/1.54 tff(4078,plain,
% 1.50/1.54 (cell99 = X!1),
% 1.50/1.54 inference(symmetry,[status(thm)],[4077])).
% 1.50/1.54 tff(4079,plain,
% 1.50/1.54 (patient(cell99) <=> patient(X!1)),
% 1.50/1.54 inference(monotonicity,[status(thm)],[4078])).
% 1.50/1.54 tff(4080,plain,
% 1.50/1.54 (patient(X!1) <=> patient(cell99)),
% 1.50/1.54 inference(symmetry,[status(thm)],[4079])).
% 1.50/1.54 tff(4081,plain,
% 1.50/1.54 (patient(cell99)),
% 1.50/1.54 inference(modus_ponens,[status(thm)],[15, 4080])).
% 1.50/1.54 tff(4082,assumption,(~patient(cell99)), introduced(assumption)).
% 1.50/1.54 tff(4083,plain,
% 1.50/1.54 ($false),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4082, 4081])).
% 1.50/1.54 tff(4084,plain,(patient(cell99) | (~(X!1 = cell99))), inference(lemma,lemma(discharge,[]))).
% 1.50/1.54 tff(4085,plain,
% 1.50/1.54 (~(X!1 = cell99)),
% 1.50/1.54 inference(unit_resolution,[status(thm)],[4084, 4076])).
% 1.50/1.54 tff(4086,plain,
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% 1.50/1.55 inference(unit_resolution,[status(thm)],[4043, 4085, 4006, 2314])).
% 1.50/1.55 tff(4087,plain,
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% 1.50/1.56 inference(unit_resolution,[status(thm)],[2215, 4086])).
% 1.50/1.56 tff(4088,plain,
% 1.50/1.56 (~edge(cell89, X!1)),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4087, 2210])).
% 1.50/1.56 tff(4089,plain,
% 1.50/1.56 ($false),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4088, 2214])).
% 1.50/1.56 tff(4090,plain,((~edge(Y!0, X!1)) | (~(Y!0 = cell89))), inference(lemma,lemma(discharge,[]))).
% 1.50/1.56 tff(4091,plain,
% 1.50/1.56 (~edge(Y!0, X!1)),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4090, 2192])).
% 1.50/1.56 tff(4092,plain,
% 1.50/1.56 (edge(X!1, Y!0)),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[2705, 4091])).
% 1.50/1.56 tff(4093,plain,
% 1.50/1.56 ((X!1 = cell88) | (X!1 = cell79) | (~((~(X!1 = cell90)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell88)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell81)))) | (~((~(X!1 = cell70)) | (~(cell89 = cell80)))) | (~((~(X!1 = cell69)) | (~(cell89 = cell79)))) | (~((~(X!1 = cell68)) | (~(cell89 = cell78)))) | (~((~(X!1 = cell67)) | (~(cell89 = cell77)))) | (~((~(X!1 = cell66)) | (~(cell89 = cell76)))) | (~((~(X!1 = cell65)) | (~(cell89 = cell75)))) | (~((~(X!1 = cell64)) | (~(cell89 = cell74)))) | (~((~(X!1 = cell63)) | (~(cell89 = cell73)))) | (~((~(X!1 = cell62)) | (~(cell89 = cell72)))) | (~((~(X!1 = cell61)) | (~(cell89 = cell71)))) | (~((~(X!1 = cell60)) | (~(cell89 = cell70)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell69)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell68)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell67)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell66)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell65)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell64)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell63)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell62)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell61)))) | (~((~(X!1 = cell50)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell51)))) | (~((~(X!1 = cell40)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell41)))) | (~((~(X!1 = cell30)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell31)))) | (~((~(X!1 = cell20)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell21)))) | (~((~(X!1 = cell10)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell11)))) | (~((~(X!1 = cell99)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell98)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell97)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell96)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell95)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell94)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell93)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell92)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell91)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell79)) | (~(cell89 = cell80)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell79)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell78)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell77)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell76)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell75)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell74)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell73)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell72)))) | (~((~(X!1 = cell69)) | (~(cell89 = cell70)))) | (~((~(X!1 = cell68)) | (~(cell89 = cell69)))) | (~((~(X!1 = cell67)) | (~(cell89 = cell68)))) | (~((~(X!1 = cell66)) | (~(cell89 = cell67)))) | (~((~(X!1 = cell65)) | (~(cell89 = cell66)))) | (~((~(X!1 = cell64)) | (~(cell89 = cell65)))) | (~((~(X!1 = cell63)) | (~(cell89 = cell64)))) | (~((~(X!1 = cell62)) | (~(cell89 = cell63)))) | (~((~(X!1 = cell61)) | (~(cell89 = cell62)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell10)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell9)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell3)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell2))))),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[3861, 4092, 2192])).
% 1.50/1.56 tff(4094,plain,
% 1.50/1.56 (X!1 = cell79),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[3793, 4093, 3847, 3848, 2191, 2189, 2187, 2185, 2183, 2181, 2179, 2170, 2168, 2166, 2164, 2162, 2160, 2158, 2149, 2147, 2145, 2143, 2141, 2139, 2137, 2135, 2133, 2124, 2122, 2120, 2118, 2116, 2114, 2112, 2110, 2108, 2106, 2097, 2095, 2093, 2091, 2089, 2087, 2085, 2083, 2081, 2079, 2070, 2068, 2066, 2064, 2062, 2060, 2058, 2056, 2054, 2052, 2043, 2041, 2039, 2037, 2035, 2033, 2031, 2029, 2027, 2025, 2016, 2014, 2012, 2010, 2008, 2006, 2004, 2002, 2000, 1991, 1989, 1987, 1985, 1983, 1981, 1979, 1977, 1975, 1966, 1957, 1948, 1939, 1930, 1921, 1912, 1903, 1894, 1885, 1876, 1867, 1858, 1849, 1840, 1831, 1822, 1813, 1804, 1795, 1786, 1777, 1768, 1759, 1750, 1741, 1732, 1723, 1714, 1705, 1696, 1687, 1678, 1669, 1660, 1651, 1642, 1633, 1624, 1615, 1606, 1597, 1588, 1579, 1570, 1561, 1552, 1543, 1534, 1525, 1516, 1507, 1498, 1489, 1480, 1471, 1462, 1453, 1444, 1435, 1426, 1417, 1408, 1399, 1390, 1381, 1372, 1363, 1354, 1345, 1336, 1327, 1318, 1309, 1300, 1291, 1282, 1273, 1264, 1255])).
% 1.50/1.56 tff(4095,assumption,(X!1 = cell79), introduced(assumption)).
% 1.50/1.56 tff(4096,plain,
% 1.50/1.56 (cell79 = X!1),
% 1.50/1.56 inference(symmetry,[status(thm)],[4095])).
% 1.50/1.56 tff(4097,plain,
% 1.50/1.56 (patient(cell79) <=> patient(X!1)),
% 1.50/1.56 inference(monotonicity,[status(thm)],[4096])).
% 1.50/1.56 tff(4098,plain,
% 1.50/1.56 (patient(X!1) <=> patient(cell79)),
% 1.50/1.56 inference(symmetry,[status(thm)],[4097])).
% 1.50/1.56 tff(4099,plain,
% 1.50/1.56 (patient(cell79)),
% 1.50/1.56 inference(modus_ponens,[status(thm)],[15, 4098])).
% 1.50/1.56 tff(4100,assumption,(~patient(cell79)), introduced(assumption)).
% 1.50/1.56 tff(4101,plain,
% 1.50/1.56 ($false),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4100, 4099])).
% 1.50/1.56 tff(4102,plain,(patient(cell79) | (~(X!1 = cell79))), inference(lemma,lemma(discharge,[]))).
% 1.50/1.56 tff(4103,plain,
% 1.50/1.56 (patient(cell79)),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4102, 4094])).
% 1.50/1.56 tff(4104,assumption,(patient(cell79)), introduced(assumption)).
% 1.50/1.56 tff(4105,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell2) | (~patient(cell2)) | (~patient(cell79)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell79 = cell2) | (~patient(cell2)) | (~patient(cell79)))),
% 1.50/1.56 inference(rewrite,[status(thm)],[])).
% 1.50/1.56 tff(4106,plain,
% 1.50/1.56 (((cell79 = cell2) | (~patient(cell79)) | (~patient(cell2))) <=> ((cell79 = cell2) | (~patient(cell2)) | (~patient(cell79)))),
% 1.50/1.56 inference(rewrite,[status(thm)],[])).
% 1.50/1.56 tff(4107,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell2) | (~patient(cell79)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell2) | (~patient(cell2)) | (~patient(cell79))))),
% 1.50/1.56 inference(monotonicity,[status(thm)],[4106])).
% 1.50/1.56 tff(4108,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell2) | (~patient(cell79)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell79 = cell2) | (~patient(cell2)) | (~patient(cell79)))),
% 1.50/1.56 inference(transitivity,[status(thm)],[4107, 4105])).
% 1.50/1.56 tff(4109,plain,
% 1.50/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell2) | (~patient(cell79)) | (~patient(cell2)))),
% 1.50/1.56 inference(quant_inst,[status(thm)],[])).
% 1.50/1.56 tff(4110,plain,
% 1.50/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell79 = cell2) | (~patient(cell2)) | (~patient(cell79))),
% 1.50/1.56 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 1.50/1.56 tff(4111,plain,
% 1.50/1.56 ($false),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4110, 3805, 28, 62, 4104])).
% 1.50/1.56 tff(4112,plain,((~patient(cell2)) | (~patient(cell79))), inference(lemma,lemma(discharge,[]))).
% 1.50/1.56 tff(4113,plain,
% 1.50/1.56 (~patient(cell2)),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4112, 4103])).
% 1.50/1.56 tff(4114,plain,
% 1.50/1.56 (patient(cell22)),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[1153, 4113, 3797, 3959, 4050])).
% 1.50/1.56 tff(4115,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell22) | (~patient(cell22)) | (~patient(cell79)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell79 = cell22) | (~patient(cell22)) | (~patient(cell79)))),
% 1.50/1.56 inference(rewrite,[status(thm)],[])).
% 1.50/1.56 tff(4116,plain,
% 1.50/1.56 (((cell79 = cell22) | (~patient(cell79)) | (~patient(cell22))) <=> ((cell79 = cell22) | (~patient(cell22)) | (~patient(cell79)))),
% 1.50/1.56 inference(rewrite,[status(thm)],[])).
% 1.50/1.56 tff(4117,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell22) | (~patient(cell79)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell22) | (~patient(cell22)) | (~patient(cell79))))),
% 1.50/1.56 inference(monotonicity,[status(thm)],[4116])).
% 1.50/1.56 tff(4118,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell22) | (~patient(cell79)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell79 = cell22) | (~patient(cell22)) | (~patient(cell79)))),
% 1.50/1.56 inference(transitivity,[status(thm)],[4117, 4115])).
% 1.50/1.56 tff(4119,plain,
% 1.50/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell79 = cell22) | (~patient(cell79)) | (~patient(cell22)))),
% 1.50/1.56 inference(quant_inst,[status(thm)],[])).
% 1.50/1.56 tff(4120,plain,
% 1.50/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell79 = cell22) | (~patient(cell22)) | (~patient(cell79))),
% 1.50/1.56 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 1.50/1.56 tff(4121,plain,
% 1.50/1.56 ($false),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4120, 4114, 28, 212, 4103])).
% 1.50/1.56 tff(4122,plain,(~(Y!0 = cell89)), inference(lemma,lemma(discharge,[]))).
% 1.50/1.56 tff(4123,assumption,(oxygen(cell89)), introduced(assumption)).
% 1.50/1.56 tff(4124,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((Y!0 = cell89) | (~oxygen(cell89)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (Y!0 = cell89) | (~oxygen(cell89)) | (~oxygen(Y!0)))),
% 1.50/1.56 inference(rewrite,[status(thm)],[])).
% 1.50/1.56 tff(4125,plain,
% 1.50/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((Y!0 = cell89) | (~oxygen(cell89)) | (~oxygen(Y!0)))),
% 1.50/1.56 inference(quant_inst,[status(thm)],[])).
% 1.50/1.56 tff(4126,plain,
% 1.50/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (Y!0 = cell89) | (~oxygen(cell89)) | (~oxygen(Y!0))),
% 1.50/1.56 inference(modus_ponens,[status(thm)],[4125, 4124])).
% 1.50/1.56 tff(4127,plain,
% 1.50/1.56 ($false),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4126, 4123, 1246, 1233, 4122])).
% 1.50/1.56 tff(4128,plain,(~oxygen(cell89)), inference(lemma,lemma(discharge,[]))).
% 1.50/1.56 tff(4129,assumption,(~(Y!0 = cell88)), introduced(assumption)).
% 1.50/1.56 tff(4130,assumption,(oxygen(cell88)), introduced(assumption)).
% 1.50/1.56 tff(4131,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((~oxygen(Y!0)) | (Y!0 = cell88) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (~oxygen(Y!0)) | (Y!0 = cell88) | (~oxygen(cell88)))),
% 1.50/1.56 inference(rewrite,[status(thm)],[])).
% 1.50/1.56 tff(4132,plain,
% 1.50/1.56 (((Y!0 = cell88) | (~oxygen(cell88)) | (~oxygen(Y!0))) <=> ((~oxygen(Y!0)) | (Y!0 = cell88) | (~oxygen(cell88)))),
% 1.50/1.56 inference(rewrite,[status(thm)],[])).
% 1.50/1.56 tff(4133,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((Y!0 = cell88) | (~oxygen(cell88)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((~oxygen(Y!0)) | (Y!0 = cell88) | (~oxygen(cell88))))),
% 1.50/1.56 inference(monotonicity,[status(thm)],[4132])).
% 1.50/1.56 tff(4134,plain,
% 1.50/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((Y!0 = cell88) | (~oxygen(cell88)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (~oxygen(Y!0)) | (Y!0 = cell88) | (~oxygen(cell88)))),
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% 1.50/1.56 inference(quant_inst,[status(thm)],[])).
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% 1.50/1.56 inference(modus_ponens,[status(thm)],[4135, 4134])).
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% 1.50/1.56 ($false),
% 1.50/1.56 inference(unit_resolution,[status(thm)],[4136, 4130, 1246, 1233, 4129])).
% 1.50/1.56 tff(4138,plain,((~oxygen(cell88)) | (Y!0 = cell88)), inference(lemma,lemma(discharge,[]))).
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% 1.50/1.56 inference(unit_resolution,[status(thm)],[4138, 4129])).
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% 1.50/1.61 inference(monotonicity,[status(thm)],[4141])).
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% 1.58/1.63 inference(transitivity,[status(thm)],[4142, 4140])).
% 1.58/1.63 tff(4144,plain,
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% 1.58/1.65 inference(modus_ponens,[status(thm)],[4144, 4143])).
% 1.58/1.65 tff(4146,plain,
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% 1.58/1.65 inference(unit_resolution,[status(thm)],[4145, 1208])).
% 1.58/1.65 tff(4147,assumption,(Y!0 = cell79), introduced(assumption)).
% 1.58/1.65 tff(4148,plain,
% 1.58/1.65 (cell79 = Y!0),
% 1.58/1.65 inference(symmetry,[status(thm)],[4147])).
% 1.58/1.65 tff(4149,plain,
% 1.58/1.65 (edge(X!1, cell79) <=> edge(X!1, Y!0)),
% 1.58/1.65 inference(monotonicity,[status(thm)],[4148])).
% 1.58/1.65 tff(4150,plain,
% 1.58/1.65 (edge(X!1, Y!0) <=> edge(X!1, cell79)),
% 1.58/1.65 inference(symmetry,[status(thm)],[4149])).
% 1.58/1.65 tff(4151,plain,
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% 1.64/1.70 inference(monotonicity,[status(thm)],[4152])).
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% 1.64/1.72 inference(transitivity,[status(thm)],[4153, 4151])).
% 1.64/1.72 tff(4155,plain,
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% 1.64/1.73 inference(quant_inst,[status(thm)],[])).
% 1.64/1.73 tff(4156,plain,
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% 1.74/1.77 tff(4490,plain,
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% 1.74/1.77 inference(tautology,[status(thm)],[])).
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% 1.74/1.77 inference(unit_resolution,[status(thm)],[4494, 725])).
% 1.74/1.77 tff(4496,plain,
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% 1.74/1.77 inference(tautology,[status(thm)],[])).
% 1.74/1.77 tff(4497,plain,
% 1.74/1.77 ((~(X!1 = cell97)) | (~(cell79 = cell87))),
% 1.74/1.77 inference(unit_resolution,[status(thm)],[4496, 734])).
% 1.74/1.77 tff(4498,plain,
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% 1.74/1.77 inference(tautology,[status(thm)],[])).
% 1.74/1.77 tff(4499,plain,
% 1.74/1.77 ((~(X!1 = cell98)) | (~(cell79 = cell88))),
% 1.74/1.78 inference(unit_resolution,[status(thm)],[4498, 743])).
% 1.74/1.78 tff(4500,plain,
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% 1.74/1.78 inference(tautology,[status(thm)],[])).
% 1.74/1.78 tff(4501,plain,
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% 1.74/1.78 inference(unit_resolution,[status(thm)],[4500, 752])).
% 1.74/1.78 tff(4502,plain,
% 1.74/1.78 ((cell80 = X!1) <=> (X!1 = cell80)),
% 1.74/1.78 inference(commutativity,[status(thm)],[])).
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% 1.74/1.78 tff(4504,assumption,(X!1 = cell80), introduced(assumption)).
% 1.74/1.78 tff(4505,plain,
% 1.74/1.78 (cell80 = X!1),
% 1.74/1.78 inference(symmetry,[status(thm)],[4504])).
% 1.74/1.78 tff(4506,plain,
% 1.74/1.78 (patient(cell80) <=> patient(X!1)),
% 1.74/1.78 inference(monotonicity,[status(thm)],[4505])).
% 1.74/1.78 tff(4507,plain,
% 1.74/1.78 (patient(X!1) <=> patient(cell80)),
% 1.74/1.78 inference(symmetry,[status(thm)],[4506])).
% 1.74/1.78 tff(4508,plain,
% 1.74/1.78 (patient(cell80)),
% 1.74/1.78 inference(modus_ponens,[status(thm)],[15, 4507])).
% 1.74/1.78 tff(4509,plain,
% 1.74/1.78 ((~(cell80 = cell22)) <=> (~(cell80 = cell22))),
% 1.74/1.78 inference(rewrite,[status(thm)],[])).
% 1.74/1.78 tff(4510,axiom,(~(cell80 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46527')).
% 1.74/1.78 tff(4511,plain,
% 1.74/1.78 (~(cell80 = cell22)),
% 1.74/1.78 inference(modus_ponens,[status(thm)],[4510, 4509])).
% 1.74/1.78 tff(4512,plain,
% 1.74/1.78 ((cell13 = X!1) <=> (X!1 = cell13)),
% 1.74/1.78 inference(commutativity,[status(thm)],[])).
% 1.74/1.78 tff(4513,plain,
% 1.74/1.78 ((X!1 = cell13) <=> (cell13 = X!1)),
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% 1.76/1.80 inference(unit_resolution,[status(thm)],[4574, 4573, 4571, 4569, 4567, 4565, 4563, 4561, 4559, 4557, 4555, 4553, 4551])).
% 1.76/1.80 tff(4576,plain,
% 1.76/1.80 (X!1 = cell89),
% 1.76/1.80 inference(unit_resolution,[status(thm)],[4575, 4549, 4501, 4499, 4497, 4495, 4493, 4491, 4489, 4487, 4485, 4483, 4481, 4479, 4477, 4475, 4473, 4471, 4469, 4467, 4465, 4463, 4461, 4459, 4457, 4455, 4453, 4451, 4449, 4447, 4445, 4443, 4441, 4439, 4437, 4435, 4433, 4431, 4429, 4427, 4425, 4423, 4421, 4419, 4417, 4415, 4413, 4411, 4409, 4407, 4405, 4403, 4401, 4399, 4397, 4395, 4393, 4391, 4389, 4387, 4385, 4383, 4381, 4379, 4377, 4375, 4373, 4371, 4369, 4367, 4365, 4363, 4361, 4359, 4357, 4355, 4353, 4351, 4349, 4347, 4345, 4343, 4341, 4339, 4337, 4335, 4333, 4331, 4329, 4327, 4325, 4323, 4321, 4319, 4317, 4315, 4313, 4311, 4309, 4307, 4305, 4303, 4301, 4299, 4297, 4295, 4293, 4291, 4289, 4287, 4285, 4283, 4281, 4279, 4277, 4275, 4273, 4271, 4269, 4267, 4265, 4263, 4261, 4259, 4257, 4255, 4253, 4251, 4249, 4247, 4245, 4243, 4241, 4239, 4237, 4235, 4233, 4231, 4229, 4227, 4225, 4223, 4221, 4219, 4217, 4215, 4213, 4211, 4209, 4207, 4205, 4203, 4201, 4199, 4197, 4195, 4193, 4191, 4189, 4187, 4185, 4183, 4181, 4179, 4177, 4175, 4173, 4171, 4503])).
% 1.76/1.80 tff(4577,plain,
% 1.76/1.80 (cell89 = X!1),
% 1.76/1.80 inference(symmetry,[status(thm)],[4576])).
% 1.76/1.80 tff(4578,plain,
% 1.76/1.80 (patient(cell89) <=> patient(X!1)),
% 1.76/1.80 inference(monotonicity,[status(thm)],[4577])).
% 1.76/1.80 tff(4579,plain,
% 1.76/1.80 (patient(X!1) <=> patient(cell89)),
% 1.76/1.80 inference(symmetry,[status(thm)],[4578])).
% 1.76/1.80 tff(4580,plain,
% 1.76/1.80 (patient(cell89)),
% 1.76/1.80 inference(modus_ponens,[status(thm)],[15, 4579])).
% 1.76/1.80 tff(4581,plain,
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% 1.79/1.83 tff(4766,plain,
% 1.79/1.83 ((~(cell28 = cell99)) <=> (~(cell99 = cell28))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4765])).
% 1.79/1.83 tff(4767,plain,
% 1.79/1.83 ((~(cell28 = cell99)) <=> (~(cell28 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4768,axiom,(~(cell28 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49429')).
% 1.79/1.83 tff(4769,plain,
% 1.79/1.83 (~(cell28 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4768, 4767])).
% 1.79/1.83 tff(4770,plain,
% 1.79/1.83 (~(cell99 = cell28)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4769, 4766])).
% 1.79/1.83 tff(4771,plain,
% 1.79/1.83 (((~(X!1 = cell27)) | (~(cell99 = cell28))) | (cell99 = cell28)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4772,plain,
% 1.79/1.83 ((~(X!1 = cell27)) | (~(cell99 = cell28))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4771, 4770])).
% 1.79/1.83 tff(4773,plain,
% 1.79/1.83 ((cell99 = cell29) <=> (cell29 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4774,plain,
% 1.79/1.83 ((cell29 = cell99) <=> (cell99 = cell29)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4773])).
% 1.79/1.83 tff(4775,plain,
% 1.79/1.83 ((~(cell29 = cell99)) <=> (~(cell99 = cell29))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4774])).
% 1.79/1.83 tff(4776,plain,
% 1.79/1.83 ((~(cell29 = cell99)) <=> (~(cell29 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4777,axiom,(~(cell29 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49397')).
% 1.79/1.83 tff(4778,plain,
% 1.79/1.83 (~(cell29 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4777, 4776])).
% 1.79/1.83 tff(4779,plain,
% 1.79/1.83 (~(cell99 = cell29)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4778, 4775])).
% 1.79/1.83 tff(4780,plain,
% 1.79/1.83 (((~(X!1 = cell28)) | (~(cell99 = cell29))) | (cell99 = cell29)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4781,plain,
% 1.79/1.83 ((~(X!1 = cell28)) | (~(cell99 = cell29))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4780, 4779])).
% 1.79/1.83 tff(4782,plain,
% 1.79/1.83 ((cell99 = cell30) <=> (cell30 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4783,plain,
% 1.79/1.83 ((cell30 = cell99) <=> (cell99 = cell30)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4782])).
% 1.79/1.83 tff(4784,plain,
% 1.79/1.83 ((~(cell30 = cell99)) <=> (~(cell99 = cell30))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4783])).
% 1.79/1.83 tff(4785,plain,
% 1.79/1.83 ((~(cell30 = cell99)) <=> (~(cell30 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4786,axiom,(~(cell30 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49364')).
% 1.79/1.83 tff(4787,plain,
% 1.79/1.83 (~(cell30 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 1.79/1.83 tff(4788,plain,
% 1.79/1.83 (~(cell99 = cell30)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4787, 4784])).
% 1.79/1.83 tff(4789,plain,
% 1.79/1.83 (((~(X!1 = cell29)) | (~(cell99 = cell30))) | (cell99 = cell30)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4790,plain,
% 1.79/1.83 ((~(X!1 = cell29)) | (~(cell99 = cell30))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4789, 4788])).
% 1.79/1.83 tff(4791,plain,
% 1.79/1.83 ((cell99 = cell32) <=> (cell32 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4792,plain,
% 1.79/1.83 ((cell32 = cell99) <=> (cell99 = cell32)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4791])).
% 1.79/1.83 tff(4793,plain,
% 1.79/1.83 ((~(cell32 = cell99)) <=> (~(cell99 = cell32))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4792])).
% 1.79/1.83 tff(4794,plain,
% 1.79/1.83 ((~(cell32 = cell99)) <=> (~(cell32 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4795,axiom,(~(cell32 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49330')).
% 1.79/1.83 tff(4796,plain,
% 1.79/1.83 (~(cell32 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 1.79/1.83 tff(4797,plain,
% 1.79/1.83 (~(cell99 = cell32)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4796, 4793])).
% 1.79/1.83 tff(4798,plain,
% 1.79/1.83 (((~(X!1 = cell31)) | (~(cell99 = cell32))) | (cell99 = cell32)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4799,plain,
% 1.79/1.83 ((~(X!1 = cell31)) | (~(cell99 = cell32))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4798, 4797])).
% 1.79/1.83 tff(4800,plain,
% 1.79/1.83 ((cell99 = cell33) <=> (cell33 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4801,plain,
% 1.79/1.83 ((cell33 = cell99) <=> (cell99 = cell33)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4800])).
% 1.79/1.83 tff(4802,plain,
% 1.79/1.83 ((~(cell33 = cell99)) <=> (~(cell99 = cell33))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4801])).
% 1.79/1.83 tff(4803,plain,
% 1.79/1.83 ((~(cell33 = cell99)) <=> (~(cell33 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4804,axiom,(~(cell33 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49259')).
% 1.79/1.83 tff(4805,plain,
% 1.79/1.83 (~(cell33 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4804, 4803])).
% 1.79/1.83 tff(4806,plain,
% 1.79/1.83 (~(cell99 = cell33)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4805, 4802])).
% 1.79/1.83 tff(4807,plain,
% 1.79/1.83 (((~(X!1 = cell32)) | (~(cell99 = cell33))) | (cell99 = cell33)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4808,plain,
% 1.79/1.83 ((~(X!1 = cell32)) | (~(cell99 = cell33))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4807, 4806])).
% 1.79/1.83 tff(4809,plain,
% 1.79/1.83 ((cell99 = cell34) <=> (cell34 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4810,plain,
% 1.79/1.83 ((cell34 = cell99) <=> (cell99 = cell34)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4809])).
% 1.79/1.83 tff(4811,plain,
% 1.79/1.83 ((~(cell34 = cell99)) <=> (~(cell99 = cell34))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4810])).
% 1.79/1.83 tff(4812,plain,
% 1.79/1.83 ((~(cell34 = cell99)) <=> (~(cell34 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4813,axiom,(~(cell34 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49222')).
% 1.79/1.83 tff(4814,plain,
% 1.79/1.83 (~(cell34 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 1.79/1.83 tff(4815,plain,
% 1.79/1.83 (~(cell99 = cell34)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4814, 4811])).
% 1.79/1.83 tff(4816,plain,
% 1.79/1.83 (((~(X!1 = cell33)) | (~(cell99 = cell34))) | (cell99 = cell34)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4817,plain,
% 1.79/1.83 ((~(X!1 = cell33)) | (~(cell99 = cell34))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4816, 4815])).
% 1.79/1.83 tff(4818,plain,
% 1.79/1.83 ((cell99 = cell35) <=> (cell35 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4819,plain,
% 1.79/1.83 ((cell35 = cell99) <=> (cell99 = cell35)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4818])).
% 1.79/1.83 tff(4820,plain,
% 1.79/1.83 ((~(cell35 = cell99)) <=> (~(cell99 = cell35))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4819])).
% 1.79/1.83 tff(4821,plain,
% 1.79/1.83 ((~(cell35 = cell99)) <=> (~(cell35 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4822,axiom,(~(cell35 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49184')).
% 1.79/1.83 tff(4823,plain,
% 1.79/1.83 (~(cell35 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4822, 4821])).
% 1.79/1.83 tff(4824,plain,
% 1.79/1.83 (~(cell99 = cell35)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4823, 4820])).
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% 1.79/1.83 (((~(X!1 = cell34)) | (~(cell99 = cell35))) | (cell99 = cell35)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4826,plain,
% 1.79/1.83 ((~(X!1 = cell34)) | (~(cell99 = cell35))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4825, 4824])).
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% 1.79/1.83 ((cell99 = cell36) <=> (cell36 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell36 = cell99) <=> (cell99 = cell36)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4827])).
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% 1.79/1.83 ((~(cell36 = cell99)) <=> (~(cell99 = cell36))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4828])).
% 1.79/1.83 tff(4830,plain,
% 1.79/1.83 ((~(cell36 = cell99)) <=> (~(cell36 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4831,axiom,(~(cell36 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49145')).
% 1.79/1.83 tff(4832,plain,
% 1.79/1.83 (~(cell36 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4831, 4830])).
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% 1.79/1.83 (~(cell99 = cell36)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4832, 4829])).
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% 1.79/1.83 (((~(X!1 = cell35)) | (~(cell99 = cell36))) | (cell99 = cell36)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
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% 1.79/1.83 ((~(X!1 = cell35)) | (~(cell99 = cell36))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4834, 4833])).
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% 1.79/1.83 ((cell99 = cell37) <=> (cell37 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell37 = cell99) <=> (cell99 = cell37)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4836])).
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% 1.79/1.83 ((~(cell37 = cell99)) <=> (~(cell99 = cell37))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4837])).
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% 1.79/1.83 ((~(cell37 = cell99)) <=> (~(cell37 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4840,axiom,(~(cell37 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49105')).
% 1.79/1.83 tff(4841,plain,
% 1.79/1.83 (~(cell37 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4840, 4839])).
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% 1.79/1.83 (~(cell99 = cell37)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4841, 4838])).
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% 1.79/1.83 inference(tautology,[status(thm)],[])).
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% 1.79/1.83 inference(unit_resolution,[status(thm)],[4843, 4842])).
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% 1.79/1.83 ((cell99 = cell38) <=> (cell38 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell38 = cell99) <=> (cell99 = cell38)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4845])).
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% 1.79/1.83 ((~(cell38 = cell99)) <=> (~(cell99 = cell38))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4846])).
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% 1.79/1.83 ((~(cell38 = cell99)) <=> (~(cell38 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4849,axiom,(~(cell38 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49064')).
% 1.79/1.83 tff(4850,plain,
% 1.79/1.83 (~(cell38 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4849, 4848])).
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% 1.79/1.83 (~(cell99 = cell38)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4850, 4847])).
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% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4853,plain,
% 1.79/1.83 ((~(X!1 = cell37)) | (~(cell99 = cell38))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4852, 4851])).
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% 1.79/1.83 ((cell99 = cell39) <=> (cell39 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell39 = cell99) <=> (cell99 = cell39)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4854])).
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% 1.79/1.83 ((~(cell39 = cell99)) <=> (~(cell99 = cell39))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4855])).
% 1.79/1.83 tff(4857,plain,
% 1.79/1.83 ((~(cell39 = cell99)) <=> (~(cell39 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4858,axiom,(~(cell39 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49022')).
% 1.79/1.83 tff(4859,plain,
% 1.79/1.83 (~(cell39 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4858, 4857])).
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% 1.79/1.83 (~(cell99 = cell39)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4859, 4856])).
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% 1.79/1.83 (((~(X!1 = cell38)) | (~(cell99 = cell39))) | (cell99 = cell39)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4862,plain,
% 1.79/1.83 ((~(X!1 = cell38)) | (~(cell99 = cell39))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4861, 4860])).
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% 1.79/1.83 ((cell99 = cell40) <=> (cell40 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4864,plain,
% 1.79/1.83 ((cell40 = cell99) <=> (cell99 = cell40)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4863])).
% 1.79/1.83 tff(4865,plain,
% 1.79/1.83 ((~(cell40 = cell99)) <=> (~(cell99 = cell40))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4864])).
% 1.79/1.83 tff(4866,plain,
% 1.79/1.83 ((~(cell40 = cell99)) <=> (~(cell40 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4867,axiom,(~(cell40 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48979')).
% 1.79/1.83 tff(4868,plain,
% 1.79/1.83 (~(cell40 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 1.79/1.83 tff(4869,plain,
% 1.79/1.83 (~(cell99 = cell40)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4868, 4865])).
% 1.79/1.83 tff(4870,plain,
% 1.79/1.83 (((~(X!1 = cell39)) | (~(cell99 = cell40))) | (cell99 = cell40)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4871,plain,
% 1.79/1.83 ((~(X!1 = cell39)) | (~(cell99 = cell40))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4870, 4869])).
% 1.79/1.83 tff(4872,plain,
% 1.79/1.83 ((cell99 = cell42) <=> (cell42 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4873,plain,
% 1.79/1.83 ((cell42 = cell99) <=> (cell99 = cell42)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4872])).
% 1.79/1.83 tff(4874,plain,
% 1.79/1.83 ((~(cell42 = cell99)) <=> (~(cell99 = cell42))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4873])).
% 1.79/1.83 tff(4875,plain,
% 1.79/1.83 ((~(cell42 = cell99)) <=> (~(cell42 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4876,axiom,(~(cell42 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48935')).
% 1.79/1.83 tff(4877,plain,
% 1.79/1.83 (~(cell42 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4876, 4875])).
% 1.79/1.83 tff(4878,plain,
% 1.79/1.83 (~(cell99 = cell42)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4877, 4874])).
% 1.79/1.83 tff(4879,plain,
% 1.79/1.83 (((~(X!1 = cell41)) | (~(cell99 = cell42))) | (cell99 = cell42)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4880,plain,
% 1.79/1.83 ((~(X!1 = cell41)) | (~(cell99 = cell42))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4879, 4878])).
% 1.79/1.83 tff(4881,plain,
% 1.79/1.83 ((cell99 = cell43) <=> (cell43 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4882,plain,
% 1.79/1.83 ((cell43 = cell99) <=> (cell99 = cell43)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4881])).
% 1.79/1.83 tff(4883,plain,
% 1.79/1.83 ((~(cell43 = cell99)) <=> (~(cell99 = cell43))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4882])).
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% 1.79/1.83 ((~(cell43 = cell99)) <=> (~(cell43 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4885,axiom,(~(cell43 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48844')).
% 1.79/1.83 tff(4886,plain,
% 1.79/1.83 (~(cell43 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4885, 4884])).
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% 1.79/1.83 (~(cell99 = cell43)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4886, 4883])).
% 1.79/1.83 tff(4888,plain,
% 1.79/1.83 (((~(X!1 = cell42)) | (~(cell99 = cell43))) | (cell99 = cell43)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4889,plain,
% 1.79/1.83 ((~(X!1 = cell42)) | (~(cell99 = cell43))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4888, 4887])).
% 1.79/1.83 tff(4890,plain,
% 1.79/1.83 ((cell99 = cell44) <=> (cell44 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4891,plain,
% 1.79/1.83 ((cell44 = cell99) <=> (cell99 = cell44)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4890])).
% 1.79/1.83 tff(4892,plain,
% 1.79/1.83 ((~(cell44 = cell99)) <=> (~(cell99 = cell44))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4891])).
% 1.79/1.83 tff(4893,plain,
% 1.79/1.83 ((~(cell44 = cell99)) <=> (~(cell44 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4894,axiom,(~(cell44 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48797')).
% 1.79/1.83 tff(4895,plain,
% 1.79/1.83 (~(cell44 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4894, 4893])).
% 1.79/1.83 tff(4896,plain,
% 1.79/1.83 (~(cell99 = cell44)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4895, 4892])).
% 1.79/1.83 tff(4897,plain,
% 1.79/1.83 (((~(X!1 = cell43)) | (~(cell99 = cell44))) | (cell99 = cell44)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4898,plain,
% 1.79/1.83 ((~(X!1 = cell43)) | (~(cell99 = cell44))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4897, 4896])).
% 1.79/1.83 tff(4899,plain,
% 1.79/1.83 ((cell99 = cell45) <=> (cell45 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4900,plain,
% 1.79/1.83 ((cell45 = cell99) <=> (cell99 = cell45)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4899])).
% 1.79/1.83 tff(4901,plain,
% 1.79/1.83 ((~(cell45 = cell99)) <=> (~(cell99 = cell45))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4900])).
% 1.79/1.83 tff(4902,plain,
% 1.79/1.83 ((~(cell45 = cell99)) <=> (~(cell45 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4903,axiom,(~(cell45 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48749')).
% 1.79/1.83 tff(4904,plain,
% 1.79/1.83 (~(cell45 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4903, 4902])).
% 1.79/1.83 tff(4905,plain,
% 1.79/1.83 (~(cell99 = cell45)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4904, 4901])).
% 1.79/1.83 tff(4906,plain,
% 1.79/1.83 (((~(X!1 = cell44)) | (~(cell99 = cell45))) | (cell99 = cell45)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4907,plain,
% 1.79/1.83 ((~(X!1 = cell44)) | (~(cell99 = cell45))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4906, 4905])).
% 1.79/1.83 tff(4908,plain,
% 1.79/1.83 ((cell99 = cell46) <=> (cell46 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(4909,plain,
% 1.79/1.83 ((cell46 = cell99) <=> (cell99 = cell46)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4908])).
% 1.79/1.83 tff(4910,plain,
% 1.79/1.83 ((~(cell46 = cell99)) <=> (~(cell99 = cell46))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4909])).
% 1.79/1.83 tff(4911,plain,
% 1.79/1.83 ((~(cell46 = cell99)) <=> (~(cell46 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4912,axiom,(~(cell46 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48700')).
% 1.79/1.83 tff(4913,plain,
% 1.79/1.83 (~(cell46 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 1.79/1.83 tff(4914,plain,
% 1.79/1.83 (~(cell99 = cell46)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4913, 4910])).
% 1.79/1.83 tff(4915,plain,
% 1.79/1.83 (((~(X!1 = cell45)) | (~(cell99 = cell46))) | (cell99 = cell46)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4916,plain,
% 1.79/1.83 ((~(X!1 = cell45)) | (~(cell99 = cell46))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4915, 4914])).
% 1.79/1.83 tff(4917,plain,
% 1.79/1.83 ((cell99 = cell47) <=> (cell47 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell47 = cell99) <=> (cell99 = cell47)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4917])).
% 1.79/1.83 tff(4919,plain,
% 1.79/1.83 ((~(cell47 = cell99)) <=> (~(cell99 = cell47))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4918])).
% 1.79/1.83 tff(4920,plain,
% 1.79/1.83 ((~(cell47 = cell99)) <=> (~(cell47 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4921,axiom,(~(cell47 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48650')).
% 1.79/1.83 tff(4922,plain,
% 1.79/1.83 (~(cell47 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4921, 4920])).
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% 1.79/1.83 (~(cell99 = cell47)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4922, 4919])).
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% 1.79/1.83 (((~(X!1 = cell46)) | (~(cell99 = cell47))) | (cell99 = cell47)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(4925,plain,
% 1.79/1.83 ((~(X!1 = cell46)) | (~(cell99 = cell47))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4924, 4923])).
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% 1.79/1.83 ((cell99 = cell48) <=> (cell48 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell48 = cell99) <=> (cell99 = cell48)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4926])).
% 1.79/1.83 tff(4928,plain,
% 1.79/1.83 ((~(cell48 = cell99)) <=> (~(cell99 = cell48))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4927])).
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% 1.79/1.83 ((~(cell48 = cell99)) <=> (~(cell48 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4930,axiom,(~(cell48 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48599')).
% 1.79/1.83 tff(4931,plain,
% 1.79/1.83 (~(cell48 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4930, 4929])).
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% 1.79/1.83 (~(cell99 = cell48)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4931, 4928])).
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% 1.79/1.83 inference(tautology,[status(thm)],[])).
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% 1.79/1.83 inference(unit_resolution,[status(thm)],[4933, 4932])).
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% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell49 = cell99) <=> (cell99 = cell49)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4935])).
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% 1.79/1.83 ((~(cell49 = cell99)) <=> (~(cell99 = cell49))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4936])).
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% 1.79/1.83 ((~(cell49 = cell99)) <=> (~(cell49 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4939,axiom,(~(cell49 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48547')).
% 1.79/1.83 tff(4940,plain,
% 1.79/1.83 (~(cell49 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4939, 4938])).
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% 1.79/1.83 inference(modus_ponens,[status(thm)],[4940, 4937])).
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% 1.79/1.83 inference(unit_resolution,[status(thm)],[4942, 4941])).
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% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 inference(symmetry,[status(thm)],[4944])).
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% 1.79/1.83 inference(monotonicity,[status(thm)],[4945])).
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% 1.79/1.83 ((~(cell50 = cell99)) <=> (~(cell50 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4948,axiom,(~(cell50 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48494')).
% 1.79/1.83 tff(4949,plain,
% 1.79/1.83 (~(cell50 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4948, 4947])).
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% 1.79/1.83 inference(modus_ponens,[status(thm)],[4949, 4946])).
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% 1.79/1.83 inference(monotonicity,[status(thm)],[4954])).
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% 1.79/1.83 ((~(cell52 = cell99)) <=> (~(cell52 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4957,axiom,(~(cell52 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48440')).
% 1.79/1.83 tff(4958,plain,
% 1.79/1.83 (~(cell52 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4957, 4956])).
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% 1.79/1.83 (~(cell99 = cell52)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4958, 4955])).
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% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 inference(symmetry,[status(thm)],[4962])).
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% 1.79/1.83 inference(monotonicity,[status(thm)],[4963])).
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% 1.79/1.83 ((~(cell53 = cell99)) <=> (~(cell53 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4966,axiom,(~(cell53 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48329')).
% 1.79/1.83 tff(4967,plain,
% 1.79/1.83 (~(cell53 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4966, 4965])).
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% 1.79/1.83 (~(cell99 = cell53)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4967, 4964])).
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% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell54 = cell99) <=> (cell99 = cell54)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4971])).
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% 1.79/1.83 ((~(cell54 = cell99)) <=> (~(cell99 = cell54))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4972])).
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% 1.79/1.83 ((~(cell54 = cell99)) <=> (~(cell54 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4975,axiom,(~(cell54 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48272')).
% 1.79/1.83 tff(4976,plain,
% 1.79/1.83 (~(cell54 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4975, 4974])).
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% 1.79/1.83 (~(cell99 = cell54)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4976, 4973])).
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% 1.79/1.83 inference(tautology,[status(thm)],[])).
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% 1.79/1.83 inference(unit_resolution,[status(thm)],[4978, 4977])).
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% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell55 = cell99) <=> (cell99 = cell55)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4980])).
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% 1.79/1.83 ((~(cell55 = cell99)) <=> (~(cell99 = cell55))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4981])).
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% 1.79/1.83 ((~(cell55 = cell99)) <=> (~(cell55 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4984,axiom,(~(cell55 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48214')).
% 1.79/1.83 tff(4985,plain,
% 1.79/1.83 (~(cell55 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4984, 4983])).
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% 1.79/1.83 (~(cell99 = cell55)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4985, 4982])).
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% 1.79/1.83 (((~(X!1 = cell54)) | (~(cell99 = cell55))) | (cell99 = cell55)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
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% 1.79/1.83 ((~(X!1 = cell54)) | (~(cell99 = cell55))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[4987, 4986])).
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% 1.79/1.83 ((cell99 = cell56) <=> (cell56 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell56 = cell99) <=> (cell99 = cell56)),
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% 1.79/1.83 ((~(cell56 = cell99)) <=> (~(cell99 = cell56))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4990])).
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% 1.79/1.83 ((~(cell56 = cell99)) <=> (~(cell56 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(4993,axiom,(~(cell56 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48155')).
% 1.79/1.83 tff(4994,plain,
% 1.79/1.83 (~(cell56 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[4993, 4992])).
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% 1.79/1.83 inference(modus_ponens,[status(thm)],[4994, 4991])).
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% 1.79/1.83 inference(tautology,[status(thm)],[])).
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% 1.79/1.83 inference(unit_resolution,[status(thm)],[4996, 4995])).
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% 1.79/1.83 inference(commutativity,[status(thm)],[])).
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% 1.79/1.83 ((cell57 = cell99) <=> (cell99 = cell57)),
% 1.79/1.83 inference(symmetry,[status(thm)],[4998])).
% 1.79/1.83 tff(5000,plain,
% 1.79/1.83 ((~(cell57 = cell99)) <=> (~(cell99 = cell57))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[4999])).
% 1.79/1.83 tff(5001,plain,
% 1.79/1.83 ((~(cell57 = cell99)) <=> (~(cell57 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(5002,axiom,(~(cell57 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48095')).
% 1.79/1.83 tff(5003,plain,
% 1.79/1.83 (~(cell57 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 1.79/1.83 tff(5004,plain,
% 1.79/1.83 (~(cell99 = cell57)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5003, 5000])).
% 1.79/1.83 tff(5005,plain,
% 1.79/1.83 (((~(X!1 = cell56)) | (~(cell99 = cell57))) | (cell99 = cell57)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(5006,plain,
% 1.79/1.83 ((~(X!1 = cell56)) | (~(cell99 = cell57))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[5005, 5004])).
% 1.79/1.83 tff(5007,plain,
% 1.79/1.83 ((cell99 = cell58) <=> (cell58 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(5008,plain,
% 1.79/1.83 ((cell58 = cell99) <=> (cell99 = cell58)),
% 1.79/1.83 inference(symmetry,[status(thm)],[5007])).
% 1.79/1.83 tff(5009,plain,
% 1.79/1.83 ((~(cell58 = cell99)) <=> (~(cell99 = cell58))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[5008])).
% 1.79/1.83 tff(5010,plain,
% 1.79/1.83 ((~(cell58 = cell99)) <=> (~(cell58 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(5011,axiom,(~(cell58 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48034')).
% 1.79/1.83 tff(5012,plain,
% 1.79/1.83 (~(cell58 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5011, 5010])).
% 1.79/1.83 tff(5013,plain,
% 1.79/1.83 (~(cell99 = cell58)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5012, 5009])).
% 1.79/1.83 tff(5014,plain,
% 1.79/1.83 (((~(X!1 = cell57)) | (~(cell99 = cell58))) | (cell99 = cell58)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(5015,plain,
% 1.79/1.83 ((~(X!1 = cell57)) | (~(cell99 = cell58))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[5014, 5013])).
% 1.79/1.83 tff(5016,plain,
% 1.79/1.83 ((cell99 = cell59) <=> (cell59 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(5017,plain,
% 1.79/1.83 ((cell59 = cell99) <=> (cell99 = cell59)),
% 1.79/1.83 inference(symmetry,[status(thm)],[5016])).
% 1.79/1.83 tff(5018,plain,
% 1.79/1.83 ((~(cell59 = cell99)) <=> (~(cell99 = cell59))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[5017])).
% 1.79/1.83 tff(5019,plain,
% 1.79/1.83 ((~(cell59 = cell99)) <=> (~(cell59 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(5020,axiom,(~(cell59 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47972')).
% 1.79/1.83 tff(5021,plain,
% 1.79/1.83 (~(cell59 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5020, 5019])).
% 1.79/1.83 tff(5022,plain,
% 1.79/1.83 (~(cell99 = cell59)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5021, 5018])).
% 1.79/1.83 tff(5023,plain,
% 1.79/1.83 (((~(X!1 = cell58)) | (~(cell99 = cell59))) | (cell99 = cell59)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(5024,plain,
% 1.79/1.83 ((~(X!1 = cell58)) | (~(cell99 = cell59))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[5023, 5022])).
% 1.79/1.83 tff(5025,plain,
% 1.79/1.83 ((cell99 = cell60) <=> (cell60 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(5026,plain,
% 1.79/1.83 ((cell60 = cell99) <=> (cell99 = cell60)),
% 1.79/1.83 inference(symmetry,[status(thm)],[5025])).
% 1.79/1.83 tff(5027,plain,
% 1.79/1.83 ((~(cell60 = cell99)) <=> (~(cell99 = cell60))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[5026])).
% 1.79/1.83 tff(5028,plain,
% 1.79/1.83 ((~(cell60 = cell99)) <=> (~(cell60 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(5029,axiom,(~(cell60 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47909')).
% 1.79/1.83 tff(5030,plain,
% 1.79/1.83 (~(cell60 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 1.79/1.83 tff(5031,plain,
% 1.79/1.83 (~(cell99 = cell60)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5030, 5027])).
% 1.79/1.83 tff(5032,plain,
% 1.79/1.83 (((~(X!1 = cell59)) | (~(cell99 = cell60))) | (cell99 = cell60)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(5033,plain,
% 1.79/1.83 ((~(X!1 = cell59)) | (~(cell99 = cell60))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[5032, 5031])).
% 1.79/1.83 tff(5034,plain,
% 1.79/1.83 ((cell99 = cell62) <=> (cell62 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(5035,plain,
% 1.79/1.83 ((cell62 = cell99) <=> (cell99 = cell62)),
% 1.79/1.83 inference(symmetry,[status(thm)],[5034])).
% 1.79/1.83 tff(5036,plain,
% 1.79/1.83 ((~(cell62 = cell99)) <=> (~(cell99 = cell62))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[5035])).
% 1.79/1.83 tff(5037,plain,
% 1.79/1.83 ((~(cell62 = cell99)) <=> (~(cell62 = cell99))),
% 1.79/1.83 inference(rewrite,[status(thm)],[])).
% 1.79/1.83 tff(5038,axiom,(~(cell62 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47845')).
% 1.79/1.83 tff(5039,plain,
% 1.79/1.83 (~(cell62 = cell99)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5038, 5037])).
% 1.79/1.83 tff(5040,plain,
% 1.79/1.83 (~(cell99 = cell62)),
% 1.79/1.83 inference(modus_ponens,[status(thm)],[5039, 5036])).
% 1.79/1.83 tff(5041,plain,
% 1.79/1.83 (((~(X!1 = cell61)) | (~(cell99 = cell62))) | (cell99 = cell62)),
% 1.79/1.83 inference(tautology,[status(thm)],[])).
% 1.79/1.83 tff(5042,plain,
% 1.79/1.83 ((~(X!1 = cell61)) | (~(cell99 = cell62))),
% 1.79/1.83 inference(unit_resolution,[status(thm)],[5041, 5040])).
% 1.79/1.83 tff(5043,plain,
% 1.79/1.83 ((cell99 = cell63) <=> (cell63 = cell99)),
% 1.79/1.83 inference(commutativity,[status(thm)],[])).
% 1.79/1.83 tff(5044,plain,
% 1.79/1.83 ((cell63 = cell99) <=> (cell99 = cell63)),
% 1.79/1.83 inference(symmetry,[status(thm)],[5043])).
% 1.79/1.83 tff(5045,plain,
% 1.79/1.83 ((~(cell63 = cell99)) <=> (~(cell99 = cell63))),
% 1.79/1.83 inference(monotonicity,[status(thm)],[5044])).
% 1.79/1.84 tff(5046,plain,
% 1.79/1.84 ((~(cell63 = cell99)) <=> (~(cell63 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5047,axiom,(~(cell63 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47714')).
% 1.79/1.84 tff(5048,plain,
% 1.79/1.84 (~(cell63 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 1.79/1.84 tff(5049,plain,
% 1.79/1.84 (~(cell99 = cell63)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5048, 5045])).
% 1.79/1.84 tff(5050,plain,
% 1.79/1.84 (((~(X!1 = cell62)) | (~(cell99 = cell63))) | (cell99 = cell63)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5051,plain,
% 1.79/1.84 ((~(X!1 = cell62)) | (~(cell99 = cell63))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5050, 5049])).
% 1.79/1.84 tff(5052,plain,
% 1.79/1.84 ((cell99 = cell64) <=> (cell64 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5053,plain,
% 1.79/1.84 ((cell64 = cell99) <=> (cell99 = cell64)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5052])).
% 1.79/1.84 tff(5054,plain,
% 1.79/1.84 ((~(cell64 = cell99)) <=> (~(cell99 = cell64))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5053])).
% 1.79/1.84 tff(5055,plain,
% 1.79/1.84 ((~(cell64 = cell99)) <=> (~(cell64 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5056,axiom,(~(cell64 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47647')).
% 1.79/1.84 tff(5057,plain,
% 1.79/1.84 (~(cell64 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 1.79/1.84 tff(5058,plain,
% 1.79/1.84 (~(cell99 = cell64)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5057, 5054])).
% 1.79/1.84 tff(5059,plain,
% 1.79/1.84 (((~(X!1 = cell63)) | (~(cell99 = cell64))) | (cell99 = cell64)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5060,plain,
% 1.79/1.84 ((~(X!1 = cell63)) | (~(cell99 = cell64))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5059, 5058])).
% 1.79/1.84 tff(5061,plain,
% 1.79/1.84 ((cell99 = cell65) <=> (cell65 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5062,plain,
% 1.79/1.84 ((cell65 = cell99) <=> (cell99 = cell65)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5061])).
% 1.79/1.84 tff(5063,plain,
% 1.79/1.84 ((~(cell65 = cell99)) <=> (~(cell99 = cell65))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5062])).
% 1.79/1.84 tff(5064,plain,
% 1.79/1.84 ((~(cell65 = cell99)) <=> (~(cell65 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5065,axiom,(~(cell65 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47579')).
% 1.79/1.84 tff(5066,plain,
% 1.79/1.84 (~(cell65 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 1.79/1.84 tff(5067,plain,
% 1.79/1.84 (~(cell99 = cell65)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5066, 5063])).
% 1.79/1.84 tff(5068,plain,
% 1.79/1.84 (((~(X!1 = cell64)) | (~(cell99 = cell65))) | (cell99 = cell65)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5069,plain,
% 1.79/1.84 ((~(X!1 = cell64)) | (~(cell99 = cell65))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5068, 5067])).
% 1.79/1.84 tff(5070,plain,
% 1.79/1.84 ((cell99 = cell66) <=> (cell66 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5071,plain,
% 1.79/1.84 ((cell66 = cell99) <=> (cell99 = cell66)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5070])).
% 1.79/1.84 tff(5072,plain,
% 1.79/1.84 ((~(cell66 = cell99)) <=> (~(cell99 = cell66))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5071])).
% 1.79/1.84 tff(5073,plain,
% 1.79/1.84 ((~(cell66 = cell99)) <=> (~(cell66 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5074,axiom,(~(cell66 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47510')).
% 1.79/1.84 tff(5075,plain,
% 1.79/1.84 (~(cell66 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5074, 5073])).
% 1.79/1.84 tff(5076,plain,
% 1.79/1.84 (~(cell99 = cell66)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5075, 5072])).
% 1.79/1.84 tff(5077,plain,
% 1.79/1.84 (((~(X!1 = cell65)) | (~(cell99 = cell66))) | (cell99 = cell66)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5078,plain,
% 1.79/1.84 ((~(X!1 = cell65)) | (~(cell99 = cell66))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5077, 5076])).
% 1.79/1.84 tff(5079,plain,
% 1.79/1.84 ((cell99 = cell67) <=> (cell67 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5080,plain,
% 1.79/1.84 ((cell67 = cell99) <=> (cell99 = cell67)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5079])).
% 1.79/1.84 tff(5081,plain,
% 1.79/1.84 ((~(cell67 = cell99)) <=> (~(cell99 = cell67))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5080])).
% 1.79/1.84 tff(5082,plain,
% 1.79/1.84 ((~(cell67 = cell99)) <=> (~(cell67 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5083,axiom,(~(cell67 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47440')).
% 1.79/1.84 tff(5084,plain,
% 1.79/1.84 (~(cell67 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 1.79/1.84 tff(5085,plain,
% 1.79/1.84 (~(cell99 = cell67)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5084, 5081])).
% 1.79/1.84 tff(5086,plain,
% 1.79/1.84 (((~(X!1 = cell66)) | (~(cell99 = cell67))) | (cell99 = cell67)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5087,plain,
% 1.79/1.84 ((~(X!1 = cell66)) | (~(cell99 = cell67))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5086, 5085])).
% 1.79/1.84 tff(5088,plain,
% 1.79/1.84 ((cell99 = cell68) <=> (cell68 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5089,plain,
% 1.79/1.84 ((cell68 = cell99) <=> (cell99 = cell68)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5088])).
% 1.79/1.84 tff(5090,plain,
% 1.79/1.84 ((~(cell68 = cell99)) <=> (~(cell99 = cell68))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5089])).
% 1.79/1.84 tff(5091,plain,
% 1.79/1.84 ((~(cell68 = cell99)) <=> (~(cell68 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5092,axiom,(~(cell68 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47369')).
% 1.79/1.84 tff(5093,plain,
% 1.79/1.84 (~(cell68 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 1.79/1.84 tff(5094,plain,
% 1.79/1.84 (~(cell99 = cell68)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5093, 5090])).
% 1.79/1.84 tff(5095,plain,
% 1.79/1.84 (((~(X!1 = cell67)) | (~(cell99 = cell68))) | (cell99 = cell68)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5096,plain,
% 1.79/1.84 ((~(X!1 = cell67)) | (~(cell99 = cell68))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5095, 5094])).
% 1.79/1.84 tff(5097,plain,
% 1.79/1.84 ((cell99 = cell69) <=> (cell69 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5098,plain,
% 1.79/1.84 ((cell69 = cell99) <=> (cell99 = cell69)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5097])).
% 1.79/1.84 tff(5099,plain,
% 1.79/1.84 ((~(cell69 = cell99)) <=> (~(cell99 = cell69))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5098])).
% 1.79/1.84 tff(5100,plain,
% 1.79/1.84 ((~(cell69 = cell99)) <=> (~(cell69 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5101,axiom,(~(cell69 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47297')).
% 1.79/1.84 tff(5102,plain,
% 1.79/1.84 (~(cell69 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5101, 5100])).
% 1.79/1.84 tff(5103,plain,
% 1.79/1.84 (~(cell99 = cell69)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5102, 5099])).
% 1.79/1.84 tff(5104,plain,
% 1.79/1.84 (((~(X!1 = cell68)) | (~(cell99 = cell69))) | (cell99 = cell69)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5105,plain,
% 1.79/1.84 ((~(X!1 = cell68)) | (~(cell99 = cell69))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5104, 5103])).
% 1.79/1.84 tff(5106,plain,
% 1.79/1.84 ((cell99 = cell70) <=> (cell70 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5107,plain,
% 1.79/1.84 ((cell70 = cell99) <=> (cell99 = cell70)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5106])).
% 1.79/1.84 tff(5108,plain,
% 1.79/1.84 ((~(cell70 = cell99)) <=> (~(cell99 = cell70))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5107])).
% 1.79/1.84 tff(5109,plain,
% 1.79/1.84 ((~(cell70 = cell99)) <=> (~(cell70 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5110,axiom,(~(cell70 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47224')).
% 1.79/1.84 tff(5111,plain,
% 1.79/1.84 (~(cell70 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 1.79/1.84 tff(5112,plain,
% 1.79/1.84 (~(cell99 = cell70)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5111, 5108])).
% 1.79/1.84 tff(5113,plain,
% 1.79/1.84 (((~(X!1 = cell69)) | (~(cell99 = cell70))) | (cell99 = cell70)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5114,plain,
% 1.79/1.84 ((~(X!1 = cell69)) | (~(cell99 = cell70))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5113, 5112])).
% 1.79/1.84 tff(5115,plain,
% 1.79/1.84 ((cell99 = cell72) <=> (cell72 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5116,plain,
% 1.79/1.84 ((cell72 = cell99) <=> (cell99 = cell72)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5115])).
% 1.79/1.84 tff(5117,plain,
% 1.79/1.84 ((~(cell72 = cell99)) <=> (~(cell99 = cell72))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5116])).
% 1.79/1.84 tff(5118,plain,
% 1.79/1.84 ((~(cell72 = cell99)) <=> (~(cell72 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5119,axiom,(~(cell72 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47150')).
% 1.79/1.84 tff(5120,plain,
% 1.79/1.84 (~(cell72 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5119, 5118])).
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% 1.79/1.84 (~(cell99 = cell72)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5120, 5117])).
% 1.79/1.84 tff(5122,plain,
% 1.79/1.84 (((~(X!1 = cell71)) | (~(cell99 = cell72))) | (cell99 = cell72)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5123,plain,
% 1.79/1.84 ((~(X!1 = cell71)) | (~(cell99 = cell72))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5122, 5121])).
% 1.79/1.84 tff(5124,plain,
% 1.79/1.84 ((cell99 = cell73) <=> (cell73 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5125,plain,
% 1.79/1.84 ((cell73 = cell99) <=> (cell99 = cell73)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5124])).
% 1.79/1.84 tff(5126,plain,
% 1.79/1.84 ((~(cell73 = cell99)) <=> (~(cell99 = cell73))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5125])).
% 1.79/1.84 tff(5127,plain,
% 1.79/1.84 ((~(cell73 = cell99)) <=> (~(cell73 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5128,axiom,(~(cell73 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46999')).
% 1.79/1.84 tff(5129,plain,
% 1.79/1.84 (~(cell73 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5128, 5127])).
% 1.79/1.84 tff(5130,plain,
% 1.79/1.84 (~(cell99 = cell73)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5129, 5126])).
% 1.79/1.84 tff(5131,plain,
% 1.79/1.84 (((~(X!1 = cell72)) | (~(cell99 = cell73))) | (cell99 = cell73)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5132,plain,
% 1.79/1.84 ((~(X!1 = cell72)) | (~(cell99 = cell73))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5131, 5130])).
% 1.79/1.84 tff(5133,plain,
% 1.79/1.84 ((cell99 = cell74) <=> (cell74 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5134,plain,
% 1.79/1.84 ((cell74 = cell99) <=> (cell99 = cell74)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5133])).
% 1.79/1.84 tff(5135,plain,
% 1.79/1.84 ((~(cell74 = cell99)) <=> (~(cell99 = cell74))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5134])).
% 1.79/1.84 tff(5136,plain,
% 1.79/1.84 ((~(cell74 = cell99)) <=> (~(cell74 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5137,axiom,(~(cell74 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46922')).
% 1.79/1.84 tff(5138,plain,
% 1.79/1.84 (~(cell74 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5137, 5136])).
% 1.79/1.84 tff(5139,plain,
% 1.79/1.84 (~(cell99 = cell74)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5138, 5135])).
% 1.79/1.84 tff(5140,plain,
% 1.79/1.84 (((~(X!1 = cell73)) | (~(cell99 = cell74))) | (cell99 = cell74)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5141,plain,
% 1.79/1.84 ((~(X!1 = cell73)) | (~(cell99 = cell74))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5140, 5139])).
% 1.79/1.84 tff(5142,plain,
% 1.79/1.84 ((cell99 = cell75) <=> (cell75 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5143,plain,
% 1.79/1.84 ((cell75 = cell99) <=> (cell99 = cell75)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5142])).
% 1.79/1.84 tff(5144,plain,
% 1.79/1.84 ((~(cell75 = cell99)) <=> (~(cell99 = cell75))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5143])).
% 1.79/1.84 tff(5145,plain,
% 1.79/1.84 ((~(cell75 = cell99)) <=> (~(cell75 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5146,axiom,(~(cell75 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46844')).
% 1.79/1.84 tff(5147,plain,
% 1.79/1.84 (~(cell75 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5146, 5145])).
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% 1.79/1.84 (~(cell99 = cell75)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5147, 5144])).
% 1.79/1.84 tff(5149,plain,
% 1.79/1.84 (((~(X!1 = cell74)) | (~(cell99 = cell75))) | (cell99 = cell75)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5150,plain,
% 1.79/1.84 ((~(X!1 = cell74)) | (~(cell99 = cell75))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5149, 5148])).
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% 1.79/1.84 ((cell99 = cell76) <=> (cell76 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5152,plain,
% 1.79/1.84 ((cell76 = cell99) <=> (cell99 = cell76)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5151])).
% 1.79/1.84 tff(5153,plain,
% 1.79/1.84 ((~(cell76 = cell99)) <=> (~(cell99 = cell76))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5152])).
% 1.79/1.84 tff(5154,plain,
% 1.79/1.84 ((~(cell76 = cell99)) <=> (~(cell76 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5155,axiom,(~(cell76 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46765')).
% 1.79/1.84 tff(5156,plain,
% 1.79/1.84 (~(cell76 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5155, 5154])).
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% 1.79/1.84 (~(cell99 = cell76)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5156, 5153])).
% 1.79/1.84 tff(5158,plain,
% 1.79/1.84 (((~(X!1 = cell75)) | (~(cell99 = cell76))) | (cell99 = cell76)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5159,plain,
% 1.79/1.84 ((~(X!1 = cell75)) | (~(cell99 = cell76))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5158, 5157])).
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% 1.79/1.84 ((cell99 = cell77) <=> (cell77 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5161,plain,
% 1.79/1.84 ((cell77 = cell99) <=> (cell99 = cell77)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5160])).
% 1.79/1.84 tff(5162,plain,
% 1.79/1.84 ((~(cell77 = cell99)) <=> (~(cell99 = cell77))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5161])).
% 1.79/1.84 tff(5163,plain,
% 1.79/1.84 ((~(cell77 = cell99)) <=> (~(cell77 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5164,axiom,(~(cell77 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46685')).
% 1.79/1.84 tff(5165,plain,
% 1.79/1.84 (~(cell77 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5164, 5163])).
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% 1.79/1.84 inference(modus_ponens,[status(thm)],[5165, 5162])).
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 inference(unit_resolution,[status(thm)],[5167, 5166])).
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% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 ((cell78 = cell99) <=> (cell99 = cell78)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5169])).
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% 1.79/1.84 ((~(cell78 = cell99)) <=> (~(cell99 = cell78))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5170])).
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% 1.79/1.84 ((~(cell78 = cell99)) <=> (~(cell78 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5173,axiom,(~(cell78 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46604')).
% 1.79/1.84 tff(5174,plain,
% 1.79/1.84 (~(cell78 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5173, 5172])).
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% 1.79/1.84 inference(modus_ponens,[status(thm)],[5174, 5171])).
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 inference(unit_resolution,[status(thm)],[5176, 5175])).
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% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 ((cell79 = cell99) <=> (cell99 = cell79)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5178])).
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% 1.79/1.84 ((~(cell79 = cell99)) <=> (~(cell99 = cell79))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5179])).
% 1.79/1.84 tff(5181,plain,
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% 1.79/1.84 inference(modus_ponens,[status(thm)],[825, 5180])).
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 ((~(X!1 = cell78)) | (~(cell99 = cell79))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5182, 5181])).
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% 1.79/1.84 ((cell99 = cell80) <=> (cell80 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 ((cell80 = cell99) <=> (cell99 = cell80)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5184])).
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% 1.79/1.84 ((~(cell80 = cell99)) <=> (~(cell99 = cell80))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5185])).
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% 1.79/1.84 ((~(cell80 = cell99)) <=> (~(cell80 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5188,axiom,(~(cell80 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46522')).
% 1.79/1.84 tff(5189,plain,
% 1.79/1.84 (~(cell80 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5188, 5187])).
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% 1.79/1.84 inference(modus_ponens,[status(thm)],[5189, 5186])).
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 inference(unit_resolution,[status(thm)],[5191, 5190])).
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% 1.79/1.84 ((~(cell82 = cell99)) <=> (~(cell99 = cell82))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5194])).
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% 1.79/1.84 ((~(cell82 = cell99)) <=> (~(cell82 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5197,axiom,(~(cell82 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46439')).
% 1.79/1.84 tff(5198,plain,
% 1.79/1.84 (~(cell82 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5197, 5196])).
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% 1.79/1.84 inference(modus_ponens,[status(thm)],[5198, 5195])).
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 ((cell83 = cell99) <=> (cell99 = cell83)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5202])).
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% 1.79/1.84 ((~(cell83 = cell99)) <=> (~(cell99 = cell83))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5203])).
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% 1.79/1.84 ((~(cell83 = cell99)) <=> (~(cell83 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5206,axiom,(~(cell83 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46270')).
% 1.79/1.84 tff(5207,plain,
% 1.79/1.84 (~(cell83 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5206, 5205])).
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% 1.79/1.84 (~(cell99 = cell83)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5207, 5204])).
% 1.79/1.84 tff(5209,plain,
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 ((cell99 = cell84) <=> (cell84 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 ((cell84 = cell99) <=> (cell99 = cell84)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5211])).
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% 1.79/1.84 ((~(cell84 = cell99)) <=> (~(cell99 = cell84))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5212])).
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% 1.79/1.84 ((~(cell84 = cell99)) <=> (~(cell84 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5215,axiom,(~(cell84 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46184')).
% 1.79/1.84 tff(5216,plain,
% 1.79/1.84 (~(cell84 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5215, 5214])).
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% 1.79/1.84 inference(modus_ponens,[status(thm)],[5216, 5213])).
% 1.79/1.84 tff(5218,plain,
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 inference(unit_resolution,[status(thm)],[5218, 5217])).
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% 1.79/1.84 ((cell99 = cell85) <=> (cell85 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 inference(monotonicity,[status(thm)],[5221])).
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% 1.79/1.84 ((~(cell85 = cell99)) <=> (~(cell85 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5224,axiom,(~(cell85 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46097')).
% 1.79/1.84 tff(5225,plain,
% 1.79/1.84 (~(cell85 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5224, 5223])).
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% 1.79/1.84 inference(modus_ponens,[status(thm)],[5225, 5222])).
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 ((cell99 = cell86) <=> (cell86 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 inference(monotonicity,[status(thm)],[5230])).
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% 1.79/1.84 ((~(cell86 = cell99)) <=> (~(cell86 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5233,axiom,(~(cell86 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46009')).
% 1.79/1.84 tff(5234,plain,
% 1.79/1.84 (~(cell86 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5233, 5232])).
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% 1.79/1.84 inference(modus_ponens,[status(thm)],[5234, 5231])).
% 1.79/1.84 tff(5236,plain,
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5237,plain,
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% 1.79/1.84 tff(5238,plain,
% 1.79/1.84 ((cell99 = cell87) <=> (cell87 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 ((cell87 = cell99) <=> (cell99 = cell87)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5238])).
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% 1.79/1.84 ((~(cell87 = cell99)) <=> (~(cell99 = cell87))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5239])).
% 1.79/1.84 tff(5241,plain,
% 1.79/1.84 ((~(cell87 = cell99)) <=> (~(cell87 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5242,axiom,(~(cell87 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45920')).
% 1.79/1.84 tff(5243,plain,
% 1.79/1.84 (~(cell87 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5242, 5241])).
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% 1.79/1.84 (~(cell99 = cell87)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5243, 5240])).
% 1.79/1.84 tff(5245,plain,
% 1.79/1.84 (((~(X!1 = cell86)) | (~(cell99 = cell87))) | (cell99 = cell87)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5246,plain,
% 1.79/1.84 ((~(X!1 = cell86)) | (~(cell99 = cell87))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5245, 5244])).
% 1.79/1.84 tff(5247,plain,
% 1.79/1.84 ((cell99 = cell88) <=> (cell88 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5248,plain,
% 1.79/1.84 ((cell88 = cell99) <=> (cell99 = cell88)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5247])).
% 1.79/1.84 tff(5249,plain,
% 1.79/1.84 ((~(cell88 = cell99)) <=> (~(cell99 = cell88))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5248])).
% 1.79/1.84 tff(5250,plain,
% 1.79/1.84 ((~(cell88 = cell99)) <=> (~(cell88 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5251,axiom,(~(cell88 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49897')).
% 1.79/1.84 tff(5252,plain,
% 1.79/1.84 (~(cell88 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5251, 5250])).
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% 1.79/1.84 (~(cell99 = cell88)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5252, 5249])).
% 1.79/1.84 tff(5254,plain,
% 1.79/1.84 (((~(X!1 = cell87)) | (~(cell99 = cell88))) | (cell99 = cell88)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
% 1.79/1.84 tff(5255,plain,
% 1.79/1.84 ((~(X!1 = cell87)) | (~(cell99 = cell88))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5254, 5253])).
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% 1.79/1.84 ((cell99 = cell89) <=> (cell89 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
% 1.79/1.84 tff(5257,plain,
% 1.79/1.84 ((cell89 = cell99) <=> (cell99 = cell89)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5256])).
% 1.79/1.84 tff(5258,plain,
% 1.79/1.84 ((~(cell89 = cell99)) <=> (~(cell99 = cell89))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5257])).
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% 1.79/1.84 (~(cell99 = cell89)),
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% 1.79/1.84 (((~(X!1 = cell88)) | (~(cell99 = cell89))) | (cell99 = cell89)),
% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.84 ((~(X!1 = cell88)) | (~(cell99 = cell89))),
% 1.79/1.84 inference(unit_resolution,[status(thm)],[5260, 5259])).
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% 1.79/1.84 ((cell99 = cell90) <=> (cell90 = cell99)),
% 1.79/1.84 inference(commutativity,[status(thm)],[])).
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% 1.79/1.84 ((cell90 = cell99) <=> (cell99 = cell90)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5262])).
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% 1.79/1.84 ((~(cell90 = cell99)) <=> (~(cell99 = cell90))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5263])).
% 1.79/1.84 tff(5265,plain,
% 1.79/1.84 ((~(cell90 = cell99)) <=> (~(cell90 = cell99))),
% 1.79/1.84 inference(rewrite,[status(thm)],[])).
% 1.79/1.84 tff(5266,axiom,(~(cell90 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49910')).
% 1.79/1.84 tff(5267,plain,
% 1.79/1.84 (~(cell90 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5266, 5265])).
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% 1.79/1.84 (~(cell99 = cell90)),
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% 1.79/1.84 (((~(X!1 = cell89)) | (~(cell99 = cell90))) | (cell99 = cell90)),
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% 1.79/1.84 ((~(X!1 = cell89)) | (~(cell99 = cell90))),
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% 1.79/1.84 ((cell99 = cell92) <=> (cell92 = cell99)),
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% 1.79/1.84 ((cell92 = cell99) <=> (cell99 = cell92)),
% 1.79/1.84 inference(symmetry,[status(thm)],[5271])).
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% 1.79/1.84 ((~(cell92 = cell99)) <=> (~(cell99 = cell92))),
% 1.79/1.84 inference(monotonicity,[status(thm)],[5272])).
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% 1.79/1.84 ((~(cell92 = cell99)) <=> (~(cell92 = cell99))),
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% 1.79/1.84 tff(5275,axiom,(~(cell92 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45830')).
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% 1.79/1.84 (~(cell92 = cell99)),
% 1.79/1.84 inference(modus_ponens,[status(thm)],[5275, 5274])).
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% 1.79/1.84 ((cell93 = cell99) <=> (cell99 = cell93)),
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% 1.79/1.84 tff(5284,axiom,(~(cell93 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45647')).
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% 1.79/1.84 tff(5293,axiom,(~(cell94 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45554')).
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% 1.79/1.84 tff(5320,axiom,(~(cell97 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45269')).
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% 1.79/1.84 tff(5329,axiom,(~(cell98 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45172')).
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% 1.79/1.84 tff(5338,axiom,(~(cell100 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45074')).
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% 1.79/1.84 inference(tautology,[status(thm)],[])).
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% 1.79/1.89 tff(5606,plain,
% 1.79/1.89 (~(cell12 = X!1)),
% 1.79/1.89 inference(unit_resolution,[status(thm)],[5605, 4582])).
% 1.79/1.89 tff(5607,plain,
% 1.79/1.89 (~patient(cell12)),
% 1.79/1.89 inference(unit_resolution,[status(thm)],[1132, 5606])).
% 1.79/1.89 tff(5608,plain,
% 1.79/1.89 ((cell89 = cell13) <=> (X!1 = cell13)),
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% 1.79/1.89 tff(5609,plain,
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% 1.79/1.89 tff(5610,plain,
% 1.79/1.89 ((~(cell89 = cell13)) <=> (~(cell13 = X!1))),
% 1.79/1.89 inference(monotonicity,[status(thm)],[5609])).
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% 1.79/1.89 (~(cell13 = X!1)),
% 1.79/1.89 inference(modus_ponens,[status(thm)],[2647, 5610])).
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% 1.79/1.89 (~patient(cell13)),
% 1.79/1.89 inference(unit_resolution,[status(thm)],[1106, 5611])).
% 1.79/1.89 tff(5613,plain,
% 1.79/1.89 (patient(cell22)),
% 1.79/1.89 inference(unit_resolution,[status(thm)],[1153, 5612, 30, 5607, 5595])).
% 1.79/1.89 tff(5614,plain,
% 1.79/1.89 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell22)) | (~patient(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell22) | (~patient(cell22)) | (~patient(cell89)))),
% 1.79/1.89 inference(rewrite,[status(thm)],[])).
% 1.79/1.89 tff(5615,plain,
% 1.79/1.89 (((cell89 = cell22) | (~patient(cell89)) | (~patient(cell22))) <=> ((cell89 = cell22) | (~patient(cell22)) | (~patient(cell89)))),
% 1.79/1.89 inference(rewrite,[status(thm)],[])).
% 1.79/1.89 tff(5616,plain,
% 1.79/1.89 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell89)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell22)) | (~patient(cell89))))),
% 1.79/1.89 inference(monotonicity,[status(thm)],[5615])).
% 1.79/1.89 tff(5617,plain,
% 1.79/1.89 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell89)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell22) | (~patient(cell22)) | (~patient(cell89)))),
% 1.79/1.89 inference(transitivity,[status(thm)],[5616, 5614])).
% 1.79/1.89 tff(5618,plain,
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% 1.79/1.89 inference(quant_inst,[status(thm)],[])).
% 1.79/1.89 tff(5619,plain,
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% 1.79/1.89 inference(modus_ponens,[status(thm)],[5618, 5617])).
% 1.79/1.89 tff(5620,plain,
% 1.79/1.89 (~patient(cell89)),
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% 1.79/1.89 tff(5621,plain,
% 1.79/1.89 ($false),
% 1.79/1.89 inference(unit_resolution,[status(thm)],[5620, 4580])).
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% 1.94/1.99 inference(unit_resolution,[status(thm)],[5683, 1208])).
% 1.94/1.99 tff(5685,assumption,(Y!0 = cell99), introduced(assumption)).
% 1.94/1.99 tff(5686,plain,
% 1.94/1.99 (cell99 = Y!0),
% 1.94/1.99 inference(symmetry,[status(thm)],[5685])).
% 1.94/1.99 tff(5687,plain,
% 1.94/1.99 (edge(cell99, X!1) <=> edge(Y!0, X!1)),
% 1.94/1.99 inference(monotonicity,[status(thm)],[5686])).
% 1.94/1.99 tff(5688,plain,
% 1.94/1.99 (edge(Y!0, X!1) <=> edge(cell99, X!1)),
% 1.94/1.99 inference(symmetry,[status(thm)],[5687])).
% 1.94/1.99 tff(5689,plain,
% 1.94/1.99 (edge(X!1, cell99) <=> edge(X!1, Y!0)),
% 1.94/1.99 inference(monotonicity,[status(thm)],[5686])).
% 1.94/1.99 tff(5690,plain,
% 1.94/1.99 (edge(X!1, Y!0) <=> edge(X!1, cell99)),
% 1.94/1.99 inference(symmetry,[status(thm)],[5689])).
% 1.94/1.99 tff(5691,plain,
% 1.94/1.99 (edge(X!1, cell99)),
% 1.94/1.99 inference(modus_ponens,[status(thm)],[3855, 5690])).
% 1.94/1.99 tff(5692,plain,
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% 1.94/2.04 inference(monotonicity,[status(thm)],[5693])).
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% 2.04/2.07 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 2.04/2.07 tff(5698,plain,
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% 2.04/2.08 inference(unit_resolution,[status(thm)],[5697, 1208])).
% 2.04/2.08 tff(5699,plain,
% 2.04/2.08 ((cell91 = X!1) <=> (X!1 = cell91)),
% 2.04/2.08 inference(commutativity,[status(thm)],[])).
% 2.04/2.08 tff(5700,assumption,(~patient(cell22)), introduced(assumption)).
% 2.04/2.08 tff(5701,plain,
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% 2.10/2.15 (~(cell100 = cell12)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6100, 6099])).
% 2.10/2.15 tff(6102,plain,
% 2.10/2.15 (~(cell12 = X!1)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6101, 6098])).
% 2.10/2.15 tff(6103,plain,
% 2.10/2.15 (~patient(cell12)),
% 2.10/2.15 inference(unit_resolution,[status(thm)],[1132, 6102])).
% 2.10/2.15 tff(6104,plain,
% 2.10/2.15 ((cell100 = cell13) <=> (X!1 = cell13)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6095])).
% 2.10/2.15 tff(6105,plain,
% 2.10/2.15 ((cell100 = cell13) <=> (cell13 = X!1)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6104, 4513])).
% 2.10/2.15 tff(6106,plain,
% 2.10/2.15 ((~(cell100 = cell13)) <=> (~(cell13 = X!1))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6105])).
% 2.10/2.15 tff(6107,plain,
% 2.10/2.15 ((~(cell100 = cell13)) <=> (~(cell100 = cell13))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6108,axiom,(~(cell100 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45078')).
% 2.10/2.15 tff(6109,plain,
% 2.10/2.15 (~(cell100 = cell13)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6108, 6107])).
% 2.10/2.15 tff(6110,plain,
% 2.10/2.15 (~(cell13 = X!1)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6109, 6106])).
% 2.10/2.15 tff(6111,plain,
% 2.10/2.15 (~patient(cell13)),
% 2.10/2.15 inference(unit_resolution,[status(thm)],[1106, 6110])).
% 2.10/2.15 tff(6112,plain,
% 2.10/2.15 ((cell100 = cell11) <=> (X!1 = cell11)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6095])).
% 2.10/2.15 tff(6113,plain,
% 2.10/2.15 ((cell100 = cell11) <=> (cell11 = X!1)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6112, 4530])).
% 2.10/2.15 tff(6114,plain,
% 2.10/2.15 ((~(cell100 = cell11)) <=> (~(cell11 = X!1))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6113])).
% 2.10/2.15 tff(6115,plain,
% 2.10/2.15 ((~(cell100 = cell11)) <=> (~(cell100 = cell11))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6116,axiom,(~(cell100 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45076')).
% 2.10/2.15 tff(6117,plain,
% 2.10/2.15 (~(cell100 = cell11)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 2.10/2.15 tff(6118,plain,
% 2.10/2.15 (~(cell11 = X!1)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6117, 6114])).
% 2.10/2.15 tff(6119,plain,
% 2.10/2.15 (~patient(cell11)),
% 2.10/2.15 inference(unit_resolution,[status(thm)],[1077, 6118])).
% 2.10/2.15 tff(6120,plain,
% 2.10/2.15 ($false),
% 2.10/2.15 inference(unit_resolution,[status(thm)],[1153, 6119, 6111, 30, 5700, 6103])).
% 2.10/2.15 tff(6121,plain,(patient(cell22) | patient(cell2) | (~(Y!0 = cell99))), inference(lemma,lemma(discharge,[]))).
% 2.10/2.15 tff(6122,plain,
% 2.10/2.15 (patient(cell22)),
% 2.10/2.15 inference(unit_resolution,[status(thm)],[6121, 30, 5685])).
% 2.10/2.15 tff(6123,plain,
% 2.10/2.15 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((~patient(X!1)) | (cell22 = X!1) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell22 = X!1) | (~patient(cell22)))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6124,plain,
% 2.10/2.15 (((cell22 = X!1) | (~patient(cell22)) | (~patient(X!1))) <=> ((~patient(X!1)) | (cell22 = X!1) | (~patient(cell22)))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6125,plain,
% 2.10/2.15 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell22 = X!1) | (~patient(cell22)) | (~patient(X!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((~patient(X!1)) | (cell22 = X!1) | (~patient(cell22))))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6124])).
% 2.10/2.15 tff(6126,plain,
% 2.10/2.15 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell22 = X!1) | (~patient(cell22)) | (~patient(X!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell22 = X!1) | (~patient(cell22)))),
% 2.10/2.15 inference(transitivity,[status(thm)],[6125, 6123])).
% 2.10/2.15 tff(6127,plain,
% 2.10/2.15 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell22 = X!1) | (~patient(cell22)) | (~patient(X!1)))),
% 2.10/2.15 inference(quant_inst,[status(thm)],[])).
% 2.10/2.15 tff(6128,plain,
% 2.10/2.15 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell22 = X!1) | (~patient(cell22))),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6127, 6126])).
% 2.10/2.15 tff(6129,plain,
% 2.10/2.15 (cell22 = X!1),
% 2.10/2.15 inference(unit_resolution,[status(thm)],[6128, 6122, 28, 15])).
% 2.10/2.15 tff(6130,plain,
% 2.10/2.15 ((cell91 = cell22) <=> (cell91 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6131,plain,
% 2.10/2.15 ((cell91 = cell22) <=> (X!1 = cell91)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6130, 5699])).
% 2.10/2.15 tff(6132,plain,
% 2.10/2.15 ((~(cell91 = cell22)) <=> (~(X!1 = cell91))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6131])).
% 2.10/2.15 tff(6133,plain,
% 2.10/2.15 ((~(cell91 = cell22)) <=> (~(cell91 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6134,axiom,(~(cell91 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45744')).
% 2.10/2.15 tff(6135,plain,
% 2.10/2.15 (~(cell91 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 2.10/2.15 tff(6136,plain,
% 2.10/2.15 (~(X!1 = cell91)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6135, 6132])).
% 2.10/2.15 tff(6137,plain,
% 2.10/2.15 ((cell81 = X!1) <=> (X!1 = cell81)),
% 2.10/2.15 inference(commutativity,[status(thm)],[])).
% 2.10/2.15 tff(6138,plain,
% 2.10/2.15 ((cell81 = cell22) <=> (cell81 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6139,plain,
% 2.10/2.15 ((cell81 = cell22) <=> (X!1 = cell81)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6138, 6137])).
% 2.10/2.15 tff(6140,plain,
% 2.10/2.15 ((~(cell81 = cell22)) <=> (~(X!1 = cell81))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6139])).
% 2.10/2.15 tff(6141,plain,
% 2.10/2.15 ((~(cell81 = cell22)) <=> (~(cell81 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6142,axiom,(~(cell81 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46360')).
% 2.10/2.15 tff(6143,plain,
% 2.10/2.15 (~(cell81 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 2.10/2.15 tff(6144,plain,
% 2.10/2.15 (~(X!1 = cell81)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6143, 6140])).
% 2.10/2.15 tff(6145,plain,
% 2.10/2.15 ((cell71 = X!1) <=> (X!1 = cell71)),
% 2.10/2.15 inference(commutativity,[status(thm)],[])).
% 2.10/2.15 tff(6146,plain,
% 2.10/2.15 ((cell71 = cell22) <=> (cell71 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6147,plain,
% 2.10/2.15 ((cell71 = cell22) <=> (X!1 = cell71)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6146, 6145])).
% 2.10/2.15 tff(6148,plain,
% 2.10/2.15 ((~(cell71 = cell22)) <=> (~(X!1 = cell71))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6147])).
% 2.10/2.15 tff(6149,plain,
% 2.10/2.15 ((~(cell71 = cell22)) <=> (~(cell71 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6150,axiom,(~(cell71 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47080')).
% 2.10/2.15 tff(6151,plain,
% 2.10/2.15 (~(cell71 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6150, 6149])).
% 2.10/2.15 tff(6152,plain,
% 2.10/2.15 (~(X!1 = cell71)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6151, 6148])).
% 2.10/2.15 tff(6153,plain,
% 2.10/2.15 ((cell61 = X!1) <=> (X!1 = cell61)),
% 2.10/2.15 inference(commutativity,[status(thm)],[])).
% 2.10/2.15 tff(6154,plain,
% 2.10/2.15 ((cell61 = cell22) <=> (cell61 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6155,plain,
% 2.10/2.15 ((cell61 = cell22) <=> (X!1 = cell61)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6154, 6153])).
% 2.10/2.15 tff(6156,plain,
% 2.10/2.15 ((~(cell61 = cell22)) <=> (~(X!1 = cell61))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6155])).
% 2.10/2.15 tff(6157,plain,
% 2.10/2.15 ((~(cell61 = cell22)) <=> (~(cell61 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6158,axiom,(~(cell61 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47785')).
% 2.10/2.15 tff(6159,plain,
% 2.10/2.15 (~(cell61 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 2.10/2.15 tff(6160,plain,
% 2.10/2.15 (~(X!1 = cell61)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6159, 6156])).
% 2.10/2.15 tff(6161,plain,
% 2.10/2.15 ((cell51 = X!1) <=> (X!1 = cell51)),
% 2.10/2.15 inference(commutativity,[status(thm)],[])).
% 2.10/2.15 tff(6162,plain,
% 2.10/2.15 ((cell51 = cell22) <=> (cell51 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6163,plain,
% 2.10/2.15 ((cell51 = cell22) <=> (X!1 = cell51)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6162, 6161])).
% 2.10/2.15 tff(6164,plain,
% 2.10/2.15 ((~(cell51 = cell22)) <=> (~(X!1 = cell51))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6163])).
% 2.10/2.15 tff(6165,plain,
% 2.10/2.15 ((~(cell51 = cell22)) <=> (~(cell51 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6166,axiom,(~(cell51 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48390')).
% 2.10/2.15 tff(6167,plain,
% 2.10/2.15 (~(cell51 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6166, 6165])).
% 2.10/2.15 tff(6168,plain,
% 2.10/2.15 (~(X!1 = cell51)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6167, 6164])).
% 2.10/2.15 tff(6169,plain,
% 2.10/2.15 ((cell41 = X!1) <=> (X!1 = cell41)),
% 2.10/2.15 inference(commutativity,[status(thm)],[])).
% 2.10/2.15 tff(6170,plain,
% 2.10/2.15 ((cell41 = cell22) <=> (cell41 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6171,plain,
% 2.10/2.15 ((cell41 = cell22) <=> (X!1 = cell41)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6170, 6169])).
% 2.10/2.15 tff(6172,plain,
% 2.10/2.15 ((~(cell41 = cell22)) <=> (~(X!1 = cell41))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6171])).
% 2.10/2.15 tff(6173,plain,
% 2.10/2.15 ((~(cell41 = cell22)) <=> (~(cell41 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6174,axiom,(~(cell41 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48895')).
% 2.10/2.15 tff(6175,plain,
% 2.10/2.15 (~(cell41 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6174, 6173])).
% 2.10/2.15 tff(6176,plain,
% 2.10/2.15 (~(X!1 = cell41)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6175, 6172])).
% 2.10/2.15 tff(6177,plain,
% 2.10/2.15 ((cell31 = X!1) <=> (X!1 = cell31)),
% 2.10/2.15 inference(commutativity,[status(thm)],[])).
% 2.10/2.15 tff(6178,plain,
% 2.10/2.15 ((cell31 = cell22) <=> (cell31 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6179,plain,
% 2.10/2.15 ((cell31 = cell22) <=> (X!1 = cell31)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6178, 6177])).
% 2.10/2.15 tff(6180,plain,
% 2.10/2.15 ((~(cell31 = cell22)) <=> (~(X!1 = cell31))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6179])).
% 2.10/2.15 tff(6181,plain,
% 2.10/2.15 ((~(cell31 = cell22)) <=> (~(cell31 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6182,axiom,(~(cell31 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49300')).
% 2.10/2.15 tff(6183,plain,
% 2.10/2.15 (~(cell31 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 2.10/2.15 tff(6184,plain,
% 2.10/2.15 (~(X!1 = cell31)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6183, 6180])).
% 2.10/2.15 tff(6185,plain,
% 2.10/2.15 ((cell14 = X!1) <=> (X!1 = cell14)),
% 2.10/2.15 inference(commutativity,[status(thm)],[])).
% 2.10/2.15 tff(6186,plain,
% 2.10/2.15 ((cell14 = cell22) <=> (cell14 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6187,plain,
% 2.10/2.15 ((cell14 = cell22) <=> (X!1 = cell14)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6186, 6185])).
% 2.10/2.15 tff(6188,plain,
% 2.10/2.15 ((~(cell14 = cell22)) <=> (~(X!1 = cell14))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6187])).
% 2.10/2.15 tff(6189,plain,
% 2.10/2.15 ((~(cell14 = cell22)) <=> (~(cell14 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6190,axiom,(~(cell14 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49759')).
% 2.10/2.15 tff(6191,plain,
% 2.10/2.15 (~(cell14 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 2.10/2.15 tff(6192,plain,
% 2.10/2.15 (~(X!1 = cell14)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6191, 6188])).
% 2.10/2.15 tff(6193,plain,
% 2.10/2.15 ((cell13 = cell22) <=> (cell13 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6194,plain,
% 2.10/2.15 ((cell13 = cell22) <=> (X!1 = cell13)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6193, 4512])).
% 2.10/2.15 tff(6195,plain,
% 2.10/2.15 ((~(cell13 = cell22)) <=> (~(X!1 = cell13))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6194])).
% 2.10/2.15 tff(6196,plain,
% 2.10/2.15 ((~(cell13 = cell22)) <=> (~(cell13 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6197,axiom,(~(cell13 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49930')).
% 2.10/2.15 tff(6198,plain,
% 2.10/2.15 (~(cell13 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 2.10/2.15 tff(6199,plain,
% 2.10/2.15 (~(X!1 = cell13)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6198, 6195])).
% 2.10/2.15 tff(6200,plain,
% 2.10/2.15 ((cell11 = cell22) <=> (cell11 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6201,plain,
% 2.10/2.15 ((cell11 = cell22) <=> (X!1 = cell11)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6200, 4038])).
% 2.10/2.15 tff(6202,plain,
% 2.10/2.15 ((~(cell11 = cell22)) <=> (~(X!1 = cell11))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6201])).
% 2.10/2.15 tff(6203,plain,
% 2.10/2.15 ((~(cell11 = cell22)) <=> (~(cell11 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6204,axiom,(~(cell11 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49927')).
% 2.10/2.15 tff(6205,plain,
% 2.10/2.15 (~(cell11 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6204, 6203])).
% 2.10/2.15 tff(6206,plain,
% 2.10/2.15 (~(X!1 = cell11)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6205, 6202])).
% 2.10/2.15 tff(6207,plain,
% 2.10/2.15 (~patient(cell99)),
% 2.10/2.15 inference(unit_resolution,[status(thm)],[4065, 6122])).
% 2.10/2.15 tff(6208,plain,
% 2.10/2.15 (~(X!1 = cell99)),
% 2.10/2.15 inference(unit_resolution,[status(thm)],[4084, 6207])).
% 2.10/2.15 tff(6209,plain,
% 2.10/2.15 ((cell98 = cell22) <=> (cell98 = X!1)),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.15 tff(6210,plain,
% 2.10/2.15 ((cell98 = cell22) <=> (X!1 = cell98)),
% 2.10/2.15 inference(transitivity,[status(thm)],[6209, 3919])).
% 2.10/2.15 tff(6211,plain,
% 2.10/2.15 ((~(cell98 = cell22)) <=> (~(X!1 = cell98))),
% 2.10/2.15 inference(monotonicity,[status(thm)],[6210])).
% 2.10/2.15 tff(6212,plain,
% 2.10/2.15 ((~(cell98 = cell22)) <=> (~(cell98 = cell22))),
% 2.10/2.15 inference(rewrite,[status(thm)],[])).
% 2.10/2.15 tff(6213,axiom,(~(cell98 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45177')).
% 2.10/2.15 tff(6214,plain,
% 2.10/2.15 (~(cell98 = cell22)),
% 2.10/2.15 inference(modus_ponens,[status(thm)],[6213, 6212])).
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% 2.10/2.16 tff(6318,assumption,((X!1 = cell88) | (X!1 = cell79) | (~((~(X!1 = cell90)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell88)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell81)))) | (~((~(X!1 = cell70)) 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cell49)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell51)))) | (~((~(X!1 = cell40)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell41)))) | (~((~(X!1 = cell30)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell31)))) | (~((~(X!1 = cell20)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell21)))) | (~((~(X!1 = cell10)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell11)))) | (~((~(X!1 = cell99)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell98)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell97)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell96)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell95)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell94)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell93)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell92)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell91)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell79)) | (~(cell89 = cell80)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell79)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell78)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell77)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell76)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell75)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell74)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell73)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell72)))) | (~((~(X!1 = cell69)) | (~(cell89 = cell70)))) | (~((~(X!1 = cell68)) | (~(cell89 = cell69)))) | (~((~(X!1 = cell67)) | (~(cell89 = cell68)))) | (~((~(X!1 = cell66)) | (~(cell89 = cell67)))) | (~((~(X!1 = cell65)) | (~(cell89 = cell66)))) | (~((~(X!1 = cell64)) | (~(cell89 = cell65)))) | (~((~(X!1 = cell63)) | (~(cell89 = cell64)))) | (~((~(X!1 = cell62)) | (~(cell89 = cell63)))) | (~((~(X!1 = cell61)) | (~(cell89 = cell62)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell16)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell15)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell14)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell13)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell12)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell10)))) | (~((~(X!1 = cell8)) | (~(cell89 = cell9)))) | (~((~(X!1 = cell7)) | (~(cell89 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell89 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell89 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell89 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell89 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell89 = cell3)))) | (~((~(X!1 = cell1)) | (~(cell89 = cell2))))), introduced(assumption)).
% 2.10/2.16 tff(6319,plain,
% 2.10/2.16 (((~(X!1 = cell88)) | (~(cell89 = cell98))) | (cell89 = cell98)),
% 2.10/2.16 inference(tautology,[status(thm)],[])).
% 2.10/2.16 tff(6320,plain,
% 2.10/2.16 ((~(X!1 = cell88)) | (~(cell89 = cell98))),
% 2.10/2.16 inference(unit_resolution,[status(thm)],[6319, 1973])).
% 2.10/2.16 tff(6321,plain,
% 2.10/2.16 ((cell88 = X!1) <=> (X!1 = cell88)),
% 2.10/2.16 inference(commutativity,[status(thm)],[])).
% 2.10/2.16 tff(6322,assumption,(cell22 = X!1), introduced(assumption)).
% 2.10/2.16 tff(6323,plain,
% 2.10/2.16 ((cell88 = cell22) <=> (cell88 = X!1)),
% 2.10/2.16 inference(monotonicity,[status(thm)],[6322])).
% 2.10/2.16 tff(6324,plain,
% 2.10/2.16 ((cell88 = cell22) <=> (X!1 = cell88)),
% 2.10/2.16 inference(transitivity,[status(thm)],[6323, 6321])).
% 2.10/2.16 tff(6325,plain,
% 2.10/2.16 ((~(cell88 = cell22)) <=> (~(X!1 = cell88))),
% 2.10/2.16 inference(monotonicity,[status(thm)],[6324])).
% 2.10/2.16 tff(6326,plain,
% 2.10/2.16 (~(X!1 = cell88)),
% 2.10/2.16 inference(modus_ponens,[status(thm)],[3814, 6325])).
% 2.10/2.16 tff(6327,plain,
% 2.10/2.16 ((cell79 = cell22) <=> (cell79 = X!1)),
% 2.10/2.16 inference(monotonicity,[status(thm)],[6322])).
% 2.10/2.16 tff(6328,plain,
% 2.10/2.16 ((cell79 = cell22) <=> (X!1 = cell79)),
% 2.10/2.16 inference(transitivity,[status(thm)],[6327, 3849])).
% 2.10/2.16 tff(6329,plain,
% 2.10/2.16 ((~(cell79 = cell22)) <=> (~(X!1 = cell79))),
% 2.10/2.16 inference(monotonicity,[status(thm)],[6328])).
% 2.10/2.16 tff(6330,plain,
% 2.10/2.16 (~(X!1 = cell79)),
% 2.10/2.16 inference(modus_ponens,[status(thm)],[212, 6329])).
% 2.10/2.16 tff(6331,plain,
% 2.10/2.16 ($false),
% 2.10/2.16 inference(unit_resolution,[status(thm)],[3793, 6330, 6326, 1255, 6320, 2191, 2189, 2187, 2185, 2183, 2181, 2179, 2170, 2168, 2166, 2164, 2162, 2160, 2158, 2149, 2147, 2145, 2143, 2141, 2139, 2137, 2135, 2133, 2124, 2122, 2120, 2118, 2116, 2114, 2112, 2110, 2108, 2106, 2097, 2095, 2093, 2091, 2089, 2087, 2085, 2083, 2081, 2079, 2070, 2068, 2066, 2064, 2062, 2060, 2058, 2056, 2054, 2052, 2043, 2041, 2039, 2037, 2035, 2033, 2031, 2029, 2027, 2025, 2016, 2014, 2012, 2010, 2008, 2006, 2004, 2002, 2000, 1991, 1989, 1987, 1985, 1983, 1981, 1979, 1977, 1975, 1966, 1957, 1948, 1939, 1930, 1921, 1912, 1903, 1894, 1885, 1876, 1867, 1858, 1849, 1840, 1831, 1822, 1813, 1804, 1795, 1786, 1777, 1768, 1759, 1750, 1741, 1732, 1723, 1714, 1705, 1696, 1687, 1678, 1669, 1660, 1651, 1642, 1633, 1624, 1615, 1606, 1597, 1588, 1579, 1570, 1561, 1552, 1543, 1534, 1525, 1516, 1507, 1498, 1489, 1480, 1471, 1462, 1453, 1444, 1435, 1426, 1417, 1408, 1399, 1390, 1381, 1372, 1363, 1354, 1345, 1336, 1327, 1318, 1309, 1300, 1291, 1282, 1273, 1264, 6318])).
% 2.10/2.16 tff(6332,plain,((~(cell22 = X!1)) | (~((X!1 = cell88) | (X!1 = cell79) | (~((~(X!1 = cell90)) | (~(cell89 = cell100)))) | (~((~(X!1 = cell89)) | (~(cell89 = cell99)))) | (~((~(X!1 = cell88)) | (~(cell89 = cell98)))) | (~((~(X!1 = cell87)) | (~(cell89 = cell97)))) | (~((~(X!1 = cell86)) | (~(cell89 = cell96)))) | (~((~(X!1 = cell85)) | (~(cell89 = cell95)))) | (~((~(X!1 = cell84)) | (~(cell89 = cell94)))) | (~((~(X!1 = cell83)) | (~(cell89 = cell93)))) | (~((~(X!1 = cell82)) | (~(cell89 = cell92)))) | (~((~(X!1 = cell81)) | (~(cell89 = cell91)))) | (~((~(X!1 = cell80)) | (~(cell89 = cell90)))) | (~((~(X!1 = cell78)) | (~(cell89 = cell88)))) | (~((~(X!1 = cell77)) | (~(cell89 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell89 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell89 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell89 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell89 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell89 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell89 = cell81)))) | (~((~(X!1 = cell70)) | (~(cell89 = cell80)))) | (~((~(X!1 = cell69)) | (~(cell89 = cell79)))) | (~((~(X!1 = cell68)) | (~(cell89 = cell78)))) | (~((~(X!1 = cell67)) | (~(cell89 = cell77)))) | (~((~(X!1 = cell66)) | (~(cell89 = cell76)))) | (~((~(X!1 = cell65)) | (~(cell89 = cell75)))) | (~((~(X!1 = cell64)) | (~(cell89 = cell74)))) | (~((~(X!1 = cell63)) | (~(cell89 = cell73)))) | (~((~(X!1 = cell62)) | (~(cell89 = cell72)))) | (~((~(X!1 = cell61)) | (~(cell89 = cell71)))) | (~((~(X!1 = cell60)) | (~(cell89 = cell70)))) | (~((~(X!1 = cell59)) | (~(cell89 = cell69)))) | (~((~(X!1 = cell58)) | (~(cell89 = cell68)))) | (~((~(X!1 = cell57)) | (~(cell89 = cell67)))) | (~((~(X!1 = cell56)) | (~(cell89 = cell66)))) | (~((~(X!1 = cell55)) | (~(cell89 = cell65)))) | (~((~(X!1 = cell54)) | (~(cell89 = cell64)))) | (~((~(X!1 = cell53)) | (~(cell89 = cell63)))) | (~((~(X!1 = cell52)) | (~(cell89 = cell62)))) | (~((~(X!1 = cell51)) | (~(cell89 = cell61)))) | (~((~(X!1 = cell50)) | (~(cell89 = cell60)))) | (~((~(X!1 = cell49)) | (~(cell89 = cell59)))) | (~((~(X!1 = cell48)) | (~(cell89 = cell58)))) | (~((~(X!1 = cell47)) | (~(cell89 = cell57)))) | (~((~(X!1 = cell46)) | (~(cell89 = cell56)))) | (~((~(X!1 = cell45)) | (~(cell89 = cell55)))) | (~((~(X!1 = cell44)) | (~(cell89 = cell54)))) | (~((~(X!1 = cell43)) | (~(cell89 = cell53)))) | (~((~(X!1 = cell42)) | (~(cell89 = cell52)))) | (~((~(X!1 = cell41)) | (~(cell89 = cell51)))) | (~((~(X!1 = cell40)) | (~(cell89 = cell50)))) | (~((~(X!1 = cell39)) | (~(cell89 = cell49)))) | (~((~(X!1 = cell38)) | (~(cell89 = cell48)))) | (~((~(X!1 = cell37)) | (~(cell89 = cell47)))) | (~((~(X!1 = cell36)) | (~(cell89 = cell46)))) | (~((~(X!1 = cell35)) | (~(cell89 = cell45)))) | (~((~(X!1 = cell34)) | (~(cell89 = cell44)))) | (~((~(X!1 = cell33)) | (~(cell89 = cell43)))) | (~((~(X!1 = cell32)) | (~(cell89 = cell42)))) | (~((~(X!1 = cell31)) | (~(cell89 = cell41)))) | (~((~(X!1 = cell30)) | (~(cell89 = cell40)))) | (~((~(X!1 = cell29)) | (~(cell89 = cell39)))) | (~((~(X!1 = cell28)) | (~(cell89 = cell38)))) | (~((~(X!1 = cell27)) | (~(cell89 = cell37)))) | (~((~(X!1 = cell26)) | (~(cell89 = cell36)))) | (~((~(X!1 = cell25)) | (~(cell89 = cell35)))) | (~((~(X!1 = cell24)) | (~(cell89 = cell34)))) | (~((~(X!1 = cell23)) | (~(cell89 = cell33)))) | (~((~(X!1 = cell22)) | (~(cell89 = cell32)))) | (~((~(X!1 = cell21)) | (~(cell89 = cell31)))) | (~((~(X!1 = cell20)) | (~(cell89 = cell30)))) | (~((~(X!1 = cell19)) | (~(cell89 = cell29)))) | (~((~(X!1 = cell18)) | (~(cell89 = cell28)))) | (~((~(X!1 = cell17)) | (~(cell89 = cell27)))) | (~((~(X!1 = cell16)) | (~(cell89 = cell26)))) | (~((~(X!1 = cell15)) | (~(cell89 = cell25)))) | (~((~(X!1 = cell14)) | (~(cell89 = cell24)))) | (~((~(X!1 = cell13)) | (~(cell89 = cell23)))) | (~((~(X!1 = cell12)) | (~(cell89 = cell22)))) | (~((~(X!1 = cell11)) | (~(cell89 = cell21)))) | (~((~(X!1 = cell10)) | (~(cell89 = cell20)))) | (~((~(X!1 = cell9)) | (~(cell89 = cell19)))) | (~((~(X!1 = 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% 2.10/2.17 inference(unit_resolution,[status(thm)],[6332, 6129])).
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% 2.10/2.18 tff(6418,plain,
% 2.10/2.18 ((cell66 = cell22) <=> (X!1 = cell66)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6417, 6416])).
% 2.10/2.18 tff(6419,plain,
% 2.10/2.18 ((~(cell66 = cell22)) <=> (~(X!1 = cell66))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6418])).
% 2.10/2.18 tff(6420,plain,
% 2.10/2.18 ((~(cell66 = cell22)) <=> (~(cell66 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6421,axiom,(~(cell66 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47515')).
% 2.10/2.18 tff(6422,plain,
% 2.10/2.18 (~(cell66 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 2.10/2.18 tff(6423,plain,
% 2.10/2.18 (~(X!1 = cell66)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6422, 6419])).
% 2.10/2.18 tff(6424,plain,
% 2.10/2.18 ((cell65 = X!1) <=> (X!1 = cell65)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6425,plain,
% 2.10/2.18 ((cell65 = cell22) <=> (cell65 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6426,plain,
% 2.10/2.18 ((cell65 = cell22) <=> (X!1 = cell65)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6425, 6424])).
% 2.10/2.18 tff(6427,plain,
% 2.10/2.18 ((~(cell65 = cell22)) <=> (~(X!1 = cell65))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6426])).
% 2.10/2.18 tff(6428,plain,
% 2.10/2.18 ((~(cell65 = cell22)) <=> (~(cell65 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6429,axiom,(~(cell65 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47584')).
% 2.10/2.18 tff(6430,plain,
% 2.10/2.18 (~(cell65 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 2.10/2.18 tff(6431,plain,
% 2.10/2.18 (~(X!1 = cell65)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6430, 6427])).
% 2.10/2.18 tff(6432,plain,
% 2.10/2.18 ((cell64 = X!1) <=> (X!1 = cell64)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6433,plain,
% 2.10/2.18 ((cell64 = cell22) <=> (cell64 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6434,plain,
% 2.10/2.18 ((cell64 = cell22) <=> (X!1 = cell64)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6433, 6432])).
% 2.10/2.18 tff(6435,plain,
% 2.10/2.18 ((~(cell64 = cell22)) <=> (~(X!1 = cell64))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6434])).
% 2.10/2.18 tff(6436,plain,
% 2.10/2.18 ((~(cell64 = cell22)) <=> (~(cell64 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6437,axiom,(~(cell64 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47652')).
% 2.10/2.18 tff(6438,plain,
% 2.10/2.18 (~(cell64 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 2.10/2.18 tff(6439,plain,
% 2.10/2.18 (~(X!1 = cell64)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6438, 6435])).
% 2.10/2.18 tff(6440,plain,
% 2.10/2.18 ((cell63 = X!1) <=> (X!1 = cell63)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6441,plain,
% 2.10/2.18 ((cell63 = cell22) <=> (cell63 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6442,plain,
% 2.10/2.18 ((cell63 = cell22) <=> (X!1 = cell63)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6441, 6440])).
% 2.10/2.18 tff(6443,plain,
% 2.10/2.18 ((~(cell63 = cell22)) <=> (~(X!1 = cell63))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6442])).
% 2.10/2.18 tff(6444,plain,
% 2.10/2.18 ((~(cell63 = cell22)) <=> (~(cell63 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6445,axiom,(~(cell63 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47719')).
% 2.10/2.18 tff(6446,plain,
% 2.10/2.18 (~(cell63 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6445, 6444])).
% 2.10/2.18 tff(6447,plain,
% 2.10/2.18 (~(X!1 = cell63)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6446, 6443])).
% 2.10/2.18 tff(6448,plain,
% 2.10/2.18 ((cell62 = X!1) <=> (X!1 = cell62)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6449,plain,
% 2.10/2.18 ((cell62 = cell22) <=> (cell62 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6450,plain,
% 2.10/2.18 ((cell62 = cell22) <=> (X!1 = cell62)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6449, 6448])).
% 2.10/2.18 tff(6451,plain,
% 2.10/2.18 ((~(cell62 = cell22)) <=> (~(X!1 = cell62))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6450])).
% 2.10/2.18 tff(6452,plain,
% 2.10/2.18 ((~(cell62 = cell22)) <=> (~(cell62 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6453,axiom,(~(cell62 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47850')).
% 2.10/2.18 tff(6454,plain,
% 2.10/2.18 (~(cell62 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6453, 6452])).
% 2.10/2.18 tff(6455,plain,
% 2.10/2.18 (~(X!1 = cell62)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6454, 6451])).
% 2.10/2.18 tff(6456,plain,
% 2.10/2.18 ((cell60 = X!1) <=> (X!1 = cell60)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6457,plain,
% 2.10/2.18 ((cell60 = cell22) <=> (cell60 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6458,plain,
% 2.10/2.18 ((cell60 = cell22) <=> (X!1 = cell60)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6457, 6456])).
% 2.10/2.18 tff(6459,plain,
% 2.10/2.18 ((~(cell60 = cell22)) <=> (~(X!1 = cell60))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6458])).
% 2.10/2.18 tff(6460,plain,
% 2.10/2.18 ((~(cell60 = cell22)) <=> (~(cell60 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6461,axiom,(~(cell60 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47914')).
% 2.10/2.18 tff(6462,plain,
% 2.10/2.18 (~(cell60 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 2.10/2.18 tff(6463,plain,
% 2.10/2.18 (~(X!1 = cell60)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6462, 6459])).
% 2.10/2.18 tff(6464,plain,
% 2.10/2.18 ((cell59 = X!1) <=> (X!1 = cell59)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6465,plain,
% 2.10/2.18 ((cell59 = cell22) <=> (cell59 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6466,plain,
% 2.10/2.18 ((cell59 = cell22) <=> (X!1 = cell59)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6465, 6464])).
% 2.10/2.18 tff(6467,plain,
% 2.10/2.18 ((~(cell59 = cell22)) <=> (~(X!1 = cell59))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6466])).
% 2.10/2.18 tff(6468,plain,
% 2.10/2.18 ((~(cell59 = cell22)) <=> (~(cell59 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6469,axiom,(~(cell59 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47977')).
% 2.10/2.18 tff(6470,plain,
% 2.10/2.18 (~(cell59 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 2.10/2.18 tff(6471,plain,
% 2.10/2.18 (~(X!1 = cell59)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6470, 6467])).
% 2.10/2.18 tff(6472,plain,
% 2.10/2.18 ((cell58 = X!1) <=> (X!1 = cell58)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6473,plain,
% 2.10/2.18 ((cell58 = cell22) <=> (cell58 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6474,plain,
% 2.10/2.18 ((cell58 = cell22) <=> (X!1 = cell58)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6473, 6472])).
% 2.10/2.18 tff(6475,plain,
% 2.10/2.18 ((~(cell58 = cell22)) <=> (~(X!1 = cell58))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6474])).
% 2.10/2.18 tff(6476,plain,
% 2.10/2.18 ((~(cell58 = cell22)) <=> (~(cell58 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6477,axiom,(~(cell58 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48039')).
% 2.10/2.18 tff(6478,plain,
% 2.10/2.18 (~(cell58 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6477, 6476])).
% 2.10/2.18 tff(6479,plain,
% 2.10/2.18 (~(X!1 = cell58)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6478, 6475])).
% 2.10/2.18 tff(6480,plain,
% 2.10/2.18 ((cell57 = X!1) <=> (X!1 = cell57)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6481,plain,
% 2.10/2.18 ((cell57 = cell22) <=> (cell57 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6482,plain,
% 2.10/2.18 ((cell57 = cell22) <=> (X!1 = cell57)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6481, 6480])).
% 2.10/2.18 tff(6483,plain,
% 2.10/2.18 ((~(cell57 = cell22)) <=> (~(X!1 = cell57))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6482])).
% 2.10/2.18 tff(6484,plain,
% 2.10/2.18 ((~(cell57 = cell22)) <=> (~(cell57 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6485,axiom,(~(cell57 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48100')).
% 2.10/2.18 tff(6486,plain,
% 2.10/2.18 (~(cell57 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6485, 6484])).
% 2.10/2.18 tff(6487,plain,
% 2.10/2.18 (~(X!1 = cell57)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6486, 6483])).
% 2.10/2.18 tff(6488,plain,
% 2.10/2.18 ((cell56 = X!1) <=> (X!1 = cell56)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6489,plain,
% 2.10/2.18 ((cell56 = cell22) <=> (cell56 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6490,plain,
% 2.10/2.18 ((cell56 = cell22) <=> (X!1 = cell56)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6489, 6488])).
% 2.10/2.18 tff(6491,plain,
% 2.10/2.18 ((~(cell56 = cell22)) <=> (~(X!1 = cell56))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6490])).
% 2.10/2.18 tff(6492,plain,
% 2.10/2.18 ((~(cell56 = cell22)) <=> (~(cell56 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6493,axiom,(~(cell56 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48160')).
% 2.10/2.18 tff(6494,plain,
% 2.10/2.18 (~(cell56 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6493, 6492])).
% 2.10/2.18 tff(6495,plain,
% 2.10/2.18 (~(X!1 = cell56)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6494, 6491])).
% 2.10/2.18 tff(6496,plain,
% 2.10/2.18 ((cell55 = X!1) <=> (X!1 = cell55)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6497,plain,
% 2.10/2.18 ((cell55 = cell22) <=> (cell55 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6498,plain,
% 2.10/2.18 ((cell55 = cell22) <=> (X!1 = cell55)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6497, 6496])).
% 2.10/2.18 tff(6499,plain,
% 2.10/2.18 ((~(cell55 = cell22)) <=> (~(X!1 = cell55))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6498])).
% 2.10/2.18 tff(6500,plain,
% 2.10/2.18 ((~(cell55 = cell22)) <=> (~(cell55 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6501,axiom,(~(cell55 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48219')).
% 2.10/2.18 tff(6502,plain,
% 2.10/2.18 (~(cell55 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6501, 6500])).
% 2.10/2.18 tff(6503,plain,
% 2.10/2.18 (~(X!1 = cell55)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6502, 6499])).
% 2.10/2.18 tff(6504,plain,
% 2.10/2.18 ((cell54 = X!1) <=> (X!1 = cell54)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6505,plain,
% 2.10/2.18 ((cell54 = cell22) <=> (cell54 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6506,plain,
% 2.10/2.18 ((cell54 = cell22) <=> (X!1 = cell54)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6505, 6504])).
% 2.10/2.18 tff(6507,plain,
% 2.10/2.18 ((~(cell54 = cell22)) <=> (~(X!1 = cell54))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6506])).
% 2.10/2.18 tff(6508,plain,
% 2.10/2.18 ((~(cell54 = cell22)) <=> (~(cell54 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6509,axiom,(~(cell54 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48277')).
% 2.10/2.18 tff(6510,plain,
% 2.10/2.18 (~(cell54 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6509, 6508])).
% 2.10/2.18 tff(6511,plain,
% 2.10/2.18 (~(X!1 = cell54)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6510, 6507])).
% 2.10/2.18 tff(6512,plain,
% 2.10/2.18 ((cell53 = X!1) <=> (X!1 = cell53)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6513,plain,
% 2.10/2.18 ((cell53 = cell22) <=> (cell53 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6514,plain,
% 2.10/2.18 ((cell53 = cell22) <=> (X!1 = cell53)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6513, 6512])).
% 2.10/2.18 tff(6515,plain,
% 2.10/2.18 ((~(cell53 = cell22)) <=> (~(X!1 = cell53))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6514])).
% 2.10/2.18 tff(6516,plain,
% 2.10/2.18 ((~(cell53 = cell22)) <=> (~(cell53 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6517,axiom,(~(cell53 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48334')).
% 2.10/2.18 tff(6518,plain,
% 2.10/2.18 (~(cell53 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6517, 6516])).
% 2.10/2.18 tff(6519,plain,
% 2.10/2.18 (~(X!1 = cell53)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6518, 6515])).
% 2.10/2.18 tff(6520,plain,
% 2.10/2.18 ((cell52 = X!1) <=> (X!1 = cell52)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6521,plain,
% 2.10/2.18 ((cell52 = cell22) <=> (cell52 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6522,plain,
% 2.10/2.18 ((cell52 = cell22) <=> (X!1 = cell52)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6521, 6520])).
% 2.10/2.18 tff(6523,plain,
% 2.10/2.18 ((~(cell52 = cell22)) <=> (~(X!1 = cell52))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6522])).
% 2.10/2.18 tff(6524,plain,
% 2.10/2.18 ((~(cell52 = cell22)) <=> (~(cell52 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6525,axiom,(~(cell52 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48445')).
% 2.10/2.18 tff(6526,plain,
% 2.10/2.18 (~(cell52 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6525, 6524])).
% 2.10/2.18 tff(6527,plain,
% 2.10/2.18 (~(X!1 = cell52)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6526, 6523])).
% 2.10/2.18 tff(6528,plain,
% 2.10/2.18 ((cell50 = X!1) <=> (X!1 = cell50)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6529,plain,
% 2.10/2.18 ((cell50 = cell22) <=> (cell50 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6530,plain,
% 2.10/2.18 ((cell50 = cell22) <=> (X!1 = cell50)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6529, 6528])).
% 2.10/2.18 tff(6531,plain,
% 2.10/2.18 ((~(cell50 = cell22)) <=> (~(X!1 = cell50))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6530])).
% 2.10/2.18 tff(6532,plain,
% 2.10/2.18 ((~(cell50 = cell22)) <=> (~(cell50 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6533,axiom,(~(cell50 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48499')).
% 2.10/2.18 tff(6534,plain,
% 2.10/2.18 (~(cell50 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6533, 6532])).
% 2.10/2.18 tff(6535,plain,
% 2.10/2.18 (~(X!1 = cell50)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6534, 6531])).
% 2.10/2.18 tff(6536,plain,
% 2.10/2.18 ((cell49 = X!1) <=> (X!1 = cell49)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6537,plain,
% 2.10/2.18 ((cell49 = cell22) <=> (cell49 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6538,plain,
% 2.10/2.18 ((cell49 = cell22) <=> (X!1 = cell49)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6537, 6536])).
% 2.10/2.18 tff(6539,plain,
% 2.10/2.18 ((~(cell49 = cell22)) <=> (~(X!1 = cell49))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6538])).
% 2.10/2.18 tff(6540,plain,
% 2.10/2.18 ((~(cell49 = cell22)) <=> (~(cell49 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6541,axiom,(~(cell49 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48552')).
% 2.10/2.18 tff(6542,plain,
% 2.10/2.18 (~(cell49 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6541, 6540])).
% 2.10/2.18 tff(6543,plain,
% 2.10/2.18 (~(X!1 = cell49)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6542, 6539])).
% 2.10/2.18 tff(6544,plain,
% 2.10/2.18 ((cell48 = X!1) <=> (X!1 = cell48)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6545,plain,
% 2.10/2.18 ((cell48 = cell22) <=> (cell48 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6546,plain,
% 2.10/2.18 ((cell48 = cell22) <=> (X!1 = cell48)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6545, 6544])).
% 2.10/2.18 tff(6547,plain,
% 2.10/2.18 ((~(cell48 = cell22)) <=> (~(X!1 = cell48))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6546])).
% 2.10/2.18 tff(6548,plain,
% 2.10/2.18 ((~(cell48 = cell22)) <=> (~(cell48 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6549,axiom,(~(cell48 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48604')).
% 2.10/2.18 tff(6550,plain,
% 2.10/2.18 (~(cell48 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6549, 6548])).
% 2.10/2.18 tff(6551,plain,
% 2.10/2.18 (~(X!1 = cell48)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6550, 6547])).
% 2.10/2.18 tff(6552,plain,
% 2.10/2.18 ((cell47 = X!1) <=> (X!1 = cell47)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6553,plain,
% 2.10/2.18 ((cell47 = cell22) <=> (cell47 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6554,plain,
% 2.10/2.18 ((cell47 = cell22) <=> (X!1 = cell47)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6553, 6552])).
% 2.10/2.18 tff(6555,plain,
% 2.10/2.18 ((~(cell47 = cell22)) <=> (~(X!1 = cell47))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6554])).
% 2.10/2.18 tff(6556,plain,
% 2.10/2.18 ((~(cell47 = cell22)) <=> (~(cell47 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6557,axiom,(~(cell47 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48655')).
% 2.10/2.18 tff(6558,plain,
% 2.10/2.18 (~(cell47 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6557, 6556])).
% 2.10/2.18 tff(6559,plain,
% 2.10/2.18 (~(X!1 = cell47)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6558, 6555])).
% 2.10/2.18 tff(6560,plain,
% 2.10/2.18 ((cell46 = X!1) <=> (X!1 = cell46)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6561,plain,
% 2.10/2.18 ((cell46 = cell22) <=> (cell46 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6562,plain,
% 2.10/2.18 ((cell46 = cell22) <=> (X!1 = cell46)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6561, 6560])).
% 2.10/2.18 tff(6563,plain,
% 2.10/2.18 ((~(cell46 = cell22)) <=> (~(X!1 = cell46))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6562])).
% 2.10/2.18 tff(6564,plain,
% 2.10/2.18 ((~(cell46 = cell22)) <=> (~(cell46 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6565,axiom,(~(cell46 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48705')).
% 2.10/2.18 tff(6566,plain,
% 2.10/2.18 (~(cell46 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6565, 6564])).
% 2.10/2.18 tff(6567,plain,
% 2.10/2.18 (~(X!1 = cell46)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6566, 6563])).
% 2.10/2.18 tff(6568,plain,
% 2.10/2.18 ((cell45 = X!1) <=> (X!1 = cell45)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6569,plain,
% 2.10/2.18 ((cell45 = cell22) <=> (cell45 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6570,plain,
% 2.10/2.18 ((cell45 = cell22) <=> (X!1 = cell45)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6569, 6568])).
% 2.10/2.18 tff(6571,plain,
% 2.10/2.18 ((~(cell45 = cell22)) <=> (~(X!1 = cell45))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6570])).
% 2.10/2.18 tff(6572,plain,
% 2.10/2.18 ((~(cell45 = cell22)) <=> (~(cell45 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6573,axiom,(~(cell45 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48754')).
% 2.10/2.18 tff(6574,plain,
% 2.10/2.18 (~(cell45 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6573, 6572])).
% 2.10/2.18 tff(6575,plain,
% 2.10/2.18 (~(X!1 = cell45)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6574, 6571])).
% 2.10/2.18 tff(6576,plain,
% 2.10/2.18 ((cell44 = X!1) <=> (X!1 = cell44)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6577,plain,
% 2.10/2.18 ((cell44 = cell22) <=> (cell44 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6578,plain,
% 2.10/2.18 ((cell44 = cell22) <=> (X!1 = cell44)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6577, 6576])).
% 2.10/2.18 tff(6579,plain,
% 2.10/2.18 ((~(cell44 = cell22)) <=> (~(X!1 = cell44))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6578])).
% 2.10/2.18 tff(6580,plain,
% 2.10/2.18 ((~(cell44 = cell22)) <=> (~(cell44 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6581,axiom,(~(cell44 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48802')).
% 2.10/2.18 tff(6582,plain,
% 2.10/2.18 (~(cell44 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6581, 6580])).
% 2.10/2.18 tff(6583,plain,
% 2.10/2.18 (~(X!1 = cell44)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6582, 6579])).
% 2.10/2.18 tff(6584,plain,
% 2.10/2.18 ((cell43 = X!1) <=> (X!1 = cell43)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6585,plain,
% 2.10/2.18 ((cell43 = cell22) <=> (cell43 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6586,plain,
% 2.10/2.18 ((cell43 = cell22) <=> (X!1 = cell43)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6585, 6584])).
% 2.10/2.18 tff(6587,plain,
% 2.10/2.18 ((~(cell43 = cell22)) <=> (~(X!1 = cell43))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6586])).
% 2.10/2.18 tff(6588,plain,
% 2.10/2.18 ((~(cell43 = cell22)) <=> (~(cell43 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.18 tff(6589,axiom,(~(cell43 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48849')).
% 2.10/2.18 tff(6590,plain,
% 2.10/2.18 (~(cell43 = cell22)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6589, 6588])).
% 2.10/2.18 tff(6591,plain,
% 2.10/2.18 (~(X!1 = cell43)),
% 2.10/2.18 inference(modus_ponens,[status(thm)],[6590, 6587])).
% 2.10/2.18 tff(6592,plain,
% 2.10/2.18 ((cell42 = X!1) <=> (X!1 = cell42)),
% 2.10/2.18 inference(commutativity,[status(thm)],[])).
% 2.10/2.18 tff(6593,plain,
% 2.10/2.18 ((cell42 = cell22) <=> (cell42 = X!1)),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.18 tff(6594,plain,
% 2.10/2.18 ((cell42 = cell22) <=> (X!1 = cell42)),
% 2.10/2.18 inference(transitivity,[status(thm)],[6593, 6592])).
% 2.10/2.18 tff(6595,plain,
% 2.10/2.18 ((~(cell42 = cell22)) <=> (~(X!1 = cell42))),
% 2.10/2.18 inference(monotonicity,[status(thm)],[6594])).
% 2.10/2.18 tff(6596,plain,
% 2.10/2.18 ((~(cell42 = cell22)) <=> (~(cell42 = cell22))),
% 2.10/2.18 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6597,axiom,(~(cell42 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48940')).
% 2.10/2.19 tff(6598,plain,
% 2.10/2.19 (~(cell42 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6597, 6596])).
% 2.10/2.19 tff(6599,plain,
% 2.10/2.19 (~(X!1 = cell42)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6598, 6595])).
% 2.10/2.19 tff(6600,plain,
% 2.10/2.19 ((cell40 = X!1) <=> (X!1 = cell40)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6601,plain,
% 2.10/2.19 ((cell40 = cell22) <=> (cell40 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6602,plain,
% 2.10/2.19 ((cell40 = cell22) <=> (X!1 = cell40)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6601, 6600])).
% 2.10/2.19 tff(6603,plain,
% 2.10/2.19 ((~(cell40 = cell22)) <=> (~(X!1 = cell40))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6602])).
% 2.10/2.19 tff(6604,plain,
% 2.10/2.19 ((~(cell40 = cell22)) <=> (~(cell40 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6605,axiom,(~(cell40 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48984')).
% 2.10/2.19 tff(6606,plain,
% 2.10/2.19 (~(cell40 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6605, 6604])).
% 2.10/2.19 tff(6607,plain,
% 2.10/2.19 (~(X!1 = cell40)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6606, 6603])).
% 2.10/2.19 tff(6608,plain,
% 2.10/2.19 ((cell39 = X!1) <=> (X!1 = cell39)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6609,plain,
% 2.10/2.19 ((cell39 = cell22) <=> (cell39 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6610,plain,
% 2.10/2.19 ((cell39 = cell22) <=> (X!1 = cell39)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6609, 6608])).
% 2.10/2.19 tff(6611,plain,
% 2.10/2.19 ((~(cell39 = cell22)) <=> (~(X!1 = cell39))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6610])).
% 2.10/2.19 tff(6612,plain,
% 2.10/2.19 ((~(cell39 = cell22)) <=> (~(cell39 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6613,axiom,(~(cell39 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49027')).
% 2.10/2.19 tff(6614,plain,
% 2.10/2.19 (~(cell39 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6613, 6612])).
% 2.10/2.19 tff(6615,plain,
% 2.10/2.19 (~(X!1 = cell39)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6614, 6611])).
% 2.10/2.19 tff(6616,plain,
% 2.10/2.19 ((cell38 = X!1) <=> (X!1 = cell38)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6617,plain,
% 2.10/2.19 ((cell38 = cell22) <=> (cell38 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6618,plain,
% 2.10/2.19 ((cell38 = cell22) <=> (X!1 = cell38)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6617, 6616])).
% 2.10/2.19 tff(6619,plain,
% 2.10/2.19 ((~(cell38 = cell22)) <=> (~(X!1 = cell38))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6618])).
% 2.10/2.19 tff(6620,plain,
% 2.10/2.19 ((~(cell38 = cell22)) <=> (~(cell38 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6621,axiom,(~(cell38 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49069')).
% 2.10/2.19 tff(6622,plain,
% 2.10/2.19 (~(cell38 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6621, 6620])).
% 2.10/2.19 tff(6623,plain,
% 2.10/2.19 (~(X!1 = cell38)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6622, 6619])).
% 2.10/2.19 tff(6624,plain,
% 2.10/2.19 ((cell37 = X!1) <=> (X!1 = cell37)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6625,plain,
% 2.10/2.19 ((cell37 = cell22) <=> (cell37 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6626,plain,
% 2.10/2.19 ((cell37 = cell22) <=> (X!1 = cell37)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6625, 6624])).
% 2.10/2.19 tff(6627,plain,
% 2.10/2.19 ((~(cell37 = cell22)) <=> (~(X!1 = cell37))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6626])).
% 2.10/2.19 tff(6628,plain,
% 2.10/2.19 ((~(cell37 = cell22)) <=> (~(cell37 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6629,axiom,(~(cell37 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49110')).
% 2.10/2.19 tff(6630,plain,
% 2.10/2.19 (~(cell37 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6629, 6628])).
% 2.10/2.19 tff(6631,plain,
% 2.10/2.19 (~(X!1 = cell37)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6630, 6627])).
% 2.10/2.19 tff(6632,plain,
% 2.10/2.19 ((cell36 = X!1) <=> (X!1 = cell36)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6633,plain,
% 2.10/2.19 ((cell36 = cell22) <=> (cell36 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6634,plain,
% 2.10/2.19 ((cell36 = cell22) <=> (X!1 = cell36)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6633, 6632])).
% 2.10/2.19 tff(6635,plain,
% 2.10/2.19 ((~(cell36 = cell22)) <=> (~(X!1 = cell36))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6634])).
% 2.10/2.19 tff(6636,plain,
% 2.10/2.19 ((~(cell36 = cell22)) <=> (~(cell36 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6637,axiom,(~(cell36 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49150')).
% 2.10/2.19 tff(6638,plain,
% 2.10/2.19 (~(cell36 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6637, 6636])).
% 2.10/2.19 tff(6639,plain,
% 2.10/2.19 (~(X!1 = cell36)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6638, 6635])).
% 2.10/2.19 tff(6640,plain,
% 2.10/2.19 ((cell35 = X!1) <=> (X!1 = cell35)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6641,plain,
% 2.10/2.19 ((cell35 = cell22) <=> (cell35 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6642,plain,
% 2.10/2.19 ((cell35 = cell22) <=> (X!1 = cell35)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6641, 6640])).
% 2.10/2.19 tff(6643,plain,
% 2.10/2.19 ((~(cell35 = cell22)) <=> (~(X!1 = cell35))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6642])).
% 2.10/2.19 tff(6644,plain,
% 2.10/2.19 ((~(cell35 = cell22)) <=> (~(cell35 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6645,axiom,(~(cell35 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49189')).
% 2.10/2.19 tff(6646,plain,
% 2.10/2.19 (~(cell35 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 2.10/2.19 tff(6647,plain,
% 2.10/2.19 (~(X!1 = cell35)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6646, 6643])).
% 2.10/2.19 tff(6648,plain,
% 2.10/2.19 ((cell34 = X!1) <=> (X!1 = cell34)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6649,plain,
% 2.10/2.19 ((cell34 = cell22) <=> (cell34 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6650,plain,
% 2.10/2.19 ((cell34 = cell22) <=> (X!1 = cell34)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6649, 6648])).
% 2.10/2.19 tff(6651,plain,
% 2.10/2.19 ((~(cell34 = cell22)) <=> (~(X!1 = cell34))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6650])).
% 2.10/2.19 tff(6652,plain,
% 2.10/2.19 ((~(cell34 = cell22)) <=> (~(cell34 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6653,axiom,(~(cell34 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49227')).
% 2.10/2.19 tff(6654,plain,
% 2.10/2.19 (~(cell34 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6653, 6652])).
% 2.10/2.19 tff(6655,plain,
% 2.10/2.19 (~(X!1 = cell34)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6654, 6651])).
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% 2.10/2.19 ((cell33 = X!1) <=> (X!1 = cell33)),
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% 2.10/2.19 ((~(cell33 = cell22)) <=> (~(cell33 = cell22))),
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% 2.10/2.19 tff(6661,axiom,(~(cell33 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49264')).
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% 2.10/2.19 ((cell32 = cell22) <=> (cell32 = X!1)),
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% 2.10/2.19 tff(6669,axiom,(~(cell32 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49335')).
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% 2.10/2.19 inference(transitivity,[status(thm)],[6673, 6672])).
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% 2.10/2.19 tff(6677,axiom,(~(cell30 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49369')).
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% 2.10/2.19 tff(6685,axiom,(~(cell29 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49402')).
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% 2.10/2.19 inference(transitivity,[status(thm)],[6689, 6688])).
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% 2.10/2.19 tff(6693,axiom,(~(cell28 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49434')).
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% 2.10/2.19 inference(modus_ponens,[status(thm)],[6693, 6692])).
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% 2.10/2.19 inference(transitivity,[status(thm)],[6697, 6696])).
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% 2.10/2.19 tff(6701,axiom,(~(cell27 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49465')).
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% 2.10/2.19 inference(modus_ponens,[status(thm)],[6701, 6700])).
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% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
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% 2.10/2.19 ((cell26 = cell22) <=> (X!1 = cell26)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6705, 6704])).
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% 2.10/2.19 ((~(cell26 = cell22)) <=> (~(cell26 = cell22))),
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% 2.10/2.19 tff(6709,axiom,(~(cell26 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49495')).
% 2.10/2.19 tff(6710,plain,
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% 2.10/2.19 inference(modus_ponens,[status(thm)],[6709, 6708])).
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% 2.10/2.19 inference(transitivity,[status(thm)],[6713, 6712])).
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% 2.10/2.19 tff(6717,axiom,(~(cell25 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49524')).
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% 2.10/2.19 tff(6725,axiom,(~(cell24 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49552')).
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% 2.10/2.19 tff(6733,axiom,(~(cell20 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49630')).
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% 2.10/2.19 tff(6741,axiom,(~(cell19 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49654')).
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% 2.10/2.19 tff(6749,axiom,(~(cell18 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49677')).
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% 2.10/2.19 ((~(cell17 = cell22)) <=> (~(cell17 = cell22))),
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% 2.10/2.19 tff(6757,axiom,(~(cell17 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49699')).
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% 2.10/2.19 inference(modus_ponens,[status(thm)],[6757, 6756])).
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% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
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% 2.10/2.19 inference(transitivity,[status(thm)],[6761, 6760])).
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% 2.10/2.19 ((~(cell16 = cell22)) <=> (~(cell16 = cell22))),
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% 2.10/2.19 tff(6765,axiom,(~(cell16 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49720')).
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% 2.10/2.19 inference(modus_ponens,[status(thm)],[6765, 6764])).
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% 2.10/2.19 inference(modus_ponens,[status(thm)],[6766, 6763])).
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% 2.10/2.19 inference(commutativity,[status(thm)],[])).
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% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
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% 2.10/2.19 inference(transitivity,[status(thm)],[6769, 6768])).
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% 2.10/2.19 ((~(cell15 = cell22)) <=> (~(cell15 = cell22))),
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% 2.10/2.19 tff(6773,axiom,(~(cell15 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49740')).
% 2.10/2.19 tff(6774,plain,
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% 2.10/2.19 inference(modus_ponens,[status(thm)],[6773, 6772])).
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% 2.10/2.19 (~(X!1 = cell15)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6774, 6771])).
% 2.10/2.19 tff(6776,plain,
% 2.10/2.19 ((cell10 = X!1) <=> (X!1 = cell10)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6777,plain,
% 2.10/2.19 ((cell10 = cell22) <=> (cell10 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6778,plain,
% 2.10/2.19 ((cell10 = cell22) <=> (X!1 = cell10)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6777, 6776])).
% 2.10/2.19 tff(6779,plain,
% 2.10/2.19 ((~(cell10 = cell22)) <=> (~(X!1 = cell10))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6778])).
% 2.10/2.19 tff(6780,plain,
% 2.10/2.19 ((~(cell10 = cell22)) <=> (~(cell10 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6781,axiom,(~(cell10 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49777')).
% 2.10/2.19 tff(6782,plain,
% 2.10/2.19 (~(cell10 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 2.10/2.19 tff(6783,plain,
% 2.10/2.19 (~(X!1 = cell10)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6782, 6779])).
% 2.10/2.19 tff(6784,plain,
% 2.10/2.19 ((cell9 = X!1) <=> (X!1 = cell9)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6785,plain,
% 2.10/2.19 ((cell9 = cell22) <=> (cell9 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6786,plain,
% 2.10/2.19 ((cell9 = cell22) <=> (X!1 = cell9)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6785, 6784])).
% 2.10/2.19 tff(6787,plain,
% 2.10/2.19 ((~(cell9 = cell22)) <=> (~(X!1 = cell9))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6786])).
% 2.10/2.19 tff(6788,plain,
% 2.10/2.19 ((~(cell9 = cell22)) <=> (~(cell9 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6789,axiom,(~(cell9 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49794')).
% 2.10/2.19 tff(6790,plain,
% 2.10/2.19 (~(cell9 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6789, 6788])).
% 2.10/2.19 tff(6791,plain,
% 2.10/2.19 (~(X!1 = cell9)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6790, 6787])).
% 2.10/2.19 tff(6792,plain,
% 2.10/2.19 ((cell8 = X!1) <=> (X!1 = cell8)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6793,plain,
% 2.10/2.19 ((cell8 = cell22) <=> (cell8 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6794,plain,
% 2.10/2.19 ((cell8 = cell22) <=> (X!1 = cell8)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6793, 6792])).
% 2.10/2.19 tff(6795,plain,
% 2.10/2.19 ((~(cell8 = cell22)) <=> (~(X!1 = cell8))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6794])).
% 2.10/2.19 tff(6796,plain,
% 2.10/2.19 ((~(cell8 = cell22)) <=> (~(cell8 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6797,axiom,(~(cell8 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49810')).
% 2.10/2.19 tff(6798,plain,
% 2.10/2.19 (~(cell8 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 2.10/2.19 tff(6799,plain,
% 2.10/2.19 (~(X!1 = cell8)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6798, 6795])).
% 2.10/2.19 tff(6800,plain,
% 2.10/2.19 ((cell7 = X!1) <=> (X!1 = cell7)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6801,plain,
% 2.10/2.19 ((cell7 = cell22) <=> (cell7 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6802,plain,
% 2.10/2.19 ((cell7 = cell22) <=> (X!1 = cell7)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6801, 6800])).
% 2.10/2.19 tff(6803,plain,
% 2.10/2.19 ((~(cell7 = cell22)) <=> (~(X!1 = cell7))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6802])).
% 2.10/2.19 tff(6804,plain,
% 2.10/2.19 ((~(cell7 = cell22)) <=> (~(cell7 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6805,axiom,(~(cell7 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49825')).
% 2.10/2.19 tff(6806,plain,
% 2.10/2.19 (~(cell7 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 2.10/2.19 tff(6807,plain,
% 2.10/2.19 (~(X!1 = cell7)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6806, 6803])).
% 2.10/2.19 tff(6808,plain,
% 2.10/2.19 ((cell6 = X!1) <=> (X!1 = cell6)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6809,plain,
% 2.10/2.19 ((cell6 = cell22) <=> (cell6 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6810,plain,
% 2.10/2.19 ((cell6 = cell22) <=> (X!1 = cell6)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6809, 6808])).
% 2.10/2.19 tff(6811,plain,
% 2.10/2.19 ((~(cell6 = cell22)) <=> (~(X!1 = cell6))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6810])).
% 2.10/2.19 tff(6812,plain,
% 2.10/2.19 ((~(cell6 = cell22)) <=> (~(cell6 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6813,axiom,(~(cell6 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49839')).
% 2.10/2.19 tff(6814,plain,
% 2.10/2.19 (~(cell6 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6813, 6812])).
% 2.10/2.19 tff(6815,plain,
% 2.10/2.19 (~(X!1 = cell6)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6814, 6811])).
% 2.10/2.19 tff(6816,plain,
% 2.10/2.19 ((cell5 = X!1) <=> (X!1 = cell5)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6817,plain,
% 2.10/2.19 ((cell5 = cell22) <=> (cell5 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6818,plain,
% 2.10/2.19 ((cell5 = cell22) <=> (X!1 = cell5)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6817, 6816])).
% 2.10/2.19 tff(6819,plain,
% 2.10/2.19 ((~(cell5 = cell22)) <=> (~(X!1 = cell5))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6818])).
% 2.10/2.19 tff(6820,plain,
% 2.10/2.19 ((~(cell5 = cell22)) <=> (~(cell5 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6821,axiom,(~(cell5 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49852')).
% 2.10/2.19 tff(6822,plain,
% 2.10/2.19 (~(cell5 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6821, 6820])).
% 2.10/2.19 tff(6823,plain,
% 2.10/2.19 (~(X!1 = cell5)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6822, 6819])).
% 2.10/2.19 tff(6824,plain,
% 2.10/2.19 ((cell4 = X!1) <=> (X!1 = cell4)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6825,plain,
% 2.10/2.19 ((cell4 = cell22) <=> (cell4 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6826,plain,
% 2.10/2.19 ((cell4 = cell22) <=> (X!1 = cell4)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6825, 6824])).
% 2.10/2.19 tff(6827,plain,
% 2.10/2.19 ((~(cell4 = cell22)) <=> (~(X!1 = cell4))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6826])).
% 2.10/2.19 tff(6828,plain,
% 2.10/2.19 ((~(cell4 = cell22)) <=> (~(cell4 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6829,axiom,(~(cell4 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49864')).
% 2.10/2.19 tff(6830,plain,
% 2.10/2.19 (~(cell4 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 2.10/2.19 tff(6831,plain,
% 2.10/2.19 (~(X!1 = cell4)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6830, 6827])).
% 2.10/2.19 tff(6832,plain,
% 2.10/2.19 ((cell2 = X!1) <=> (X!1 = cell2)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6833,plain,
% 2.10/2.19 ((cell2 = cell22) <=> (cell2 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6834,plain,
% 2.10/2.19 ((cell2 = cell22) <=> (X!1 = cell2)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6833, 6832])).
% 2.10/2.19 tff(6835,plain,
% 2.10/2.19 ((~(cell2 = cell22)) <=> (~(X!1 = cell2))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6834])).
% 2.10/2.19 tff(6836,plain,
% 2.10/2.19 ((~(cell2 = cell22)) <=> (~(cell2 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6837,axiom,(~(cell2 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49929')).
% 2.10/2.19 tff(6838,plain,
% 2.10/2.19 (~(cell2 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 2.10/2.19 tff(6839,plain,
% 2.10/2.19 (~(X!1 = cell2)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6838, 6835])).
% 2.10/2.19 tff(6840,plain,
% 2.10/2.19 ((cell100 = X!1) <=> (X!1 = cell100)),
% 2.10/2.19 inference(commutativity,[status(thm)],[])).
% 2.10/2.19 tff(6841,plain,
% 2.10/2.19 ((cell100 = cell22) <=> (cell100 = X!1)),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6129])).
% 2.10/2.19 tff(6842,plain,
% 2.10/2.19 ((cell100 = cell22) <=> (X!1 = cell100)),
% 2.10/2.19 inference(transitivity,[status(thm)],[6841, 6840])).
% 2.10/2.19 tff(6843,plain,
% 2.10/2.19 ((~(cell100 = cell22)) <=> (~(X!1 = cell100))),
% 2.10/2.19 inference(monotonicity,[status(thm)],[6842])).
% 2.10/2.19 tff(6844,plain,
% 2.10/2.19 ((~(cell100 = cell22)) <=> (~(cell100 = cell22))),
% 2.10/2.19 inference(rewrite,[status(thm)],[])).
% 2.10/2.19 tff(6845,axiom,(~(cell100 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45079')).
% 2.10/2.19 tff(6846,plain,
% 2.10/2.19 (~(cell100 = cell22)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6845, 6844])).
% 2.10/2.19 tff(6847,plain,
% 2.10/2.19 (~(X!1 = cell100)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[6846, 6843])).
% 2.10/2.19 tff(6848,plain,
% 2.10/2.19 (edge(cell99, X!1)),
% 2.10/2.19 inference(modus_ponens,[status(thm)],[2213, 5688])).
% 2.10/2.19 tff(6849,assumption,(~(X!1 = cell2)), introduced(assumption)).
% 2.10/2.19 tff(6850,plain,
% 2.10/2.19 (((~(X!1 = cell2)) | (~(cell99 = cell1))) | (X!1 = cell2)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6851,plain,
% 2.10/2.19 ((~(X!1 = cell2)) | (~(cell99 = cell1))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6850, 6849])).
% 2.10/2.19 tff(6852,assumption,(~(X!1 = cell4)), introduced(assumption)).
% 2.10/2.19 tff(6853,plain,
% 2.10/2.19 (((~(X!1 = cell4)) | (~(cell99 = cell3))) | (X!1 = cell4)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6854,plain,
% 2.10/2.19 ((~(X!1 = cell4)) | (~(cell99 = cell3))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6853, 6852])).
% 2.10/2.19 tff(6855,assumption,(~(X!1 = cell5)), introduced(assumption)).
% 2.10/2.19 tff(6856,plain,
% 2.10/2.19 (((~(X!1 = cell5)) | (~(cell99 = cell4))) | (X!1 = cell5)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6857,plain,
% 2.10/2.19 ((~(X!1 = cell5)) | (~(cell99 = cell4))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6856, 6855])).
% 2.10/2.19 tff(6858,assumption,(~(X!1 = cell6)), introduced(assumption)).
% 2.10/2.19 tff(6859,plain,
% 2.10/2.19 (((~(X!1 = cell6)) | (~(cell99 = cell5))) | (X!1 = cell6)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6860,plain,
% 2.10/2.19 ((~(X!1 = cell6)) | (~(cell99 = cell5))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6859, 6858])).
% 2.10/2.19 tff(6861,assumption,(~(X!1 = cell7)), introduced(assumption)).
% 2.10/2.19 tff(6862,plain,
% 2.10/2.19 (((~(X!1 = cell7)) | (~(cell99 = cell6))) | (X!1 = cell7)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6863,plain,
% 2.10/2.19 ((~(X!1 = cell7)) | (~(cell99 = cell6))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6862, 6861])).
% 2.10/2.19 tff(6864,assumption,(~(X!1 = cell8)), introduced(assumption)).
% 2.10/2.19 tff(6865,plain,
% 2.10/2.19 (((~(X!1 = cell8)) | (~(cell99 = cell7))) | (X!1 = cell8)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6866,plain,
% 2.10/2.19 ((~(X!1 = cell8)) | (~(cell99 = cell7))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6865, 6864])).
% 2.10/2.19 tff(6867,assumption,(~(X!1 = cell9)), introduced(assumption)).
% 2.10/2.19 tff(6868,plain,
% 2.10/2.19 (((~(X!1 = cell9)) | (~(cell99 = cell8))) | (X!1 = cell9)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6869,plain,
% 2.10/2.19 ((~(X!1 = cell9)) | (~(cell99 = cell8))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6868, 6867])).
% 2.10/2.19 tff(6870,assumption,(~(X!1 = cell10)), introduced(assumption)).
% 2.10/2.19 tff(6871,plain,
% 2.10/2.19 (((~(X!1 = cell10)) | (~(cell99 = cell9))) | (X!1 = cell10)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6872,plain,
% 2.10/2.19 ((~(X!1 = cell10)) | (~(cell99 = cell9))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6871, 6870])).
% 2.10/2.19 tff(6873,assumption,(~(X!1 = cell15)), introduced(assumption)).
% 2.10/2.19 tff(6874,plain,
% 2.10/2.19 (((~(X!1 = cell15)) | (~(cell99 = cell14))) | (X!1 = cell15)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6875,plain,
% 2.10/2.19 ((~(X!1 = cell15)) | (~(cell99 = cell14))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6874, 6873])).
% 2.10/2.19 tff(6876,assumption,(~(X!1 = cell16)), introduced(assumption)).
% 2.10/2.19 tff(6877,plain,
% 2.10/2.19 (((~(X!1 = cell16)) | (~(cell99 = cell15))) | (X!1 = cell16)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6878,plain,
% 2.10/2.19 ((~(X!1 = cell16)) | (~(cell99 = cell15))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6877, 6876])).
% 2.10/2.19 tff(6879,assumption,(~(X!1 = cell17)), introduced(assumption)).
% 2.10/2.19 tff(6880,plain,
% 2.10/2.19 (((~(X!1 = cell17)) | (~(cell99 = cell16))) | (X!1 = cell17)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6881,plain,
% 2.10/2.19 ((~(X!1 = cell17)) | (~(cell99 = cell16))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6880, 6879])).
% 2.10/2.19 tff(6882,assumption,(~(X!1 = cell18)), introduced(assumption)).
% 2.10/2.19 tff(6883,plain,
% 2.10/2.19 (((~(X!1 = cell18)) | (~(cell99 = cell17))) | (X!1 = cell18)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6884,plain,
% 2.10/2.19 ((~(X!1 = cell18)) | (~(cell99 = cell17))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6883, 6882])).
% 2.10/2.19 tff(6885,assumption,(~(X!1 = cell19)), introduced(assumption)).
% 2.10/2.19 tff(6886,plain,
% 2.10/2.19 (((~(X!1 = cell19)) | (~(cell99 = cell18))) | (X!1 = cell19)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6887,plain,
% 2.10/2.19 ((~(X!1 = cell19)) | (~(cell99 = cell18))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6886, 6885])).
% 2.10/2.19 tff(6888,assumption,(~(X!1 = cell20)), introduced(assumption)).
% 2.10/2.19 tff(6889,plain,
% 2.10/2.19 (((~(X!1 = cell20)) | (~(cell99 = cell19))) | (X!1 = cell20)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6890,plain,
% 2.10/2.19 ((~(X!1 = cell20)) | (~(cell99 = cell19))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6889, 6888])).
% 2.10/2.19 tff(6891,assumption,(~(X!1 = cell24)), introduced(assumption)).
% 2.10/2.19 tff(6892,plain,
% 2.10/2.19 (((~(X!1 = cell24)) | (~(cell99 = cell23))) | (X!1 = cell24)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6893,plain,
% 2.10/2.19 ((~(X!1 = cell24)) | (~(cell99 = cell23))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6892, 6891])).
% 2.10/2.19 tff(6894,assumption,(~(X!1 = cell25)), introduced(assumption)).
% 2.10/2.19 tff(6895,plain,
% 2.10/2.19 (((~(X!1 = cell25)) | (~(cell99 = cell24))) | (X!1 = cell25)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6896,plain,
% 2.10/2.19 ((~(X!1 = cell25)) | (~(cell99 = cell24))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6895, 6894])).
% 2.10/2.19 tff(6897,assumption,(~(X!1 = cell26)), introduced(assumption)).
% 2.10/2.19 tff(6898,plain,
% 2.10/2.19 (((~(X!1 = cell26)) | (~(cell99 = cell25))) | (X!1 = cell26)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6899,plain,
% 2.10/2.19 ((~(X!1 = cell26)) | (~(cell99 = cell25))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6898, 6897])).
% 2.10/2.19 tff(6900,assumption,(~(X!1 = cell27)), introduced(assumption)).
% 2.10/2.19 tff(6901,plain,
% 2.10/2.19 (((~(X!1 = cell27)) | (~(cell99 = cell26))) | (X!1 = cell27)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6902,plain,
% 2.10/2.19 ((~(X!1 = cell27)) | (~(cell99 = cell26))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6901, 6900])).
% 2.10/2.19 tff(6903,assumption,(~(X!1 = cell28)), introduced(assumption)).
% 2.10/2.19 tff(6904,plain,
% 2.10/2.19 (((~(X!1 = cell28)) | (~(cell99 = cell27))) | (X!1 = cell28)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6905,plain,
% 2.10/2.19 ((~(X!1 = cell28)) | (~(cell99 = cell27))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6904, 6903])).
% 2.10/2.19 tff(6906,assumption,(~(X!1 = cell29)), introduced(assumption)).
% 2.10/2.19 tff(6907,plain,
% 2.10/2.19 (((~(X!1 = cell29)) | (~(cell99 = cell28))) | (X!1 = cell29)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6908,plain,
% 2.10/2.19 ((~(X!1 = cell29)) | (~(cell99 = cell28))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6907, 6906])).
% 2.10/2.19 tff(6909,assumption,(~(X!1 = cell30)), introduced(assumption)).
% 2.10/2.19 tff(6910,plain,
% 2.10/2.19 (((~(X!1 = cell30)) | (~(cell99 = cell29))) | (X!1 = cell30)),
% 2.10/2.19 inference(tautology,[status(thm)],[])).
% 2.10/2.19 tff(6911,plain,
% 2.10/2.19 ((~(X!1 = cell30)) | (~(cell99 = cell29))),
% 2.10/2.19 inference(unit_resolution,[status(thm)],[6910, 6909])).
% 2.10/2.20 tff(6912,assumption,(~(X!1 = cell32)), introduced(assumption)).
% 2.10/2.20 tff(6913,plain,
% 2.10/2.20 (((~(X!1 = cell32)) | (~(cell99 = cell31))) | (X!1 = cell32)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6914,plain,
% 2.10/2.20 ((~(X!1 = cell32)) | (~(cell99 = cell31))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6913, 6912])).
% 2.10/2.20 tff(6915,assumption,(~(X!1 = cell33)), introduced(assumption)).
% 2.10/2.20 tff(6916,plain,
% 2.10/2.20 (((~(X!1 = cell33)) | (~(cell99 = cell32))) | (X!1 = cell33)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6917,plain,
% 2.10/2.20 ((~(X!1 = cell33)) | (~(cell99 = cell32))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6916, 6915])).
% 2.10/2.20 tff(6918,assumption,(~(X!1 = cell34)), introduced(assumption)).
% 2.10/2.20 tff(6919,plain,
% 2.10/2.20 (((~(X!1 = cell34)) | (~(cell99 = cell33))) | (X!1 = cell34)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6920,plain,
% 2.10/2.20 ((~(X!1 = cell34)) | (~(cell99 = cell33))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6919, 6918])).
% 2.10/2.20 tff(6921,assumption,(~(X!1 = cell35)), introduced(assumption)).
% 2.10/2.20 tff(6922,plain,
% 2.10/2.20 (((~(X!1 = cell35)) | (~(cell99 = cell34))) | (X!1 = cell35)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6923,plain,
% 2.10/2.20 ((~(X!1 = cell35)) | (~(cell99 = cell34))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6922, 6921])).
% 2.10/2.20 tff(6924,assumption,(~(X!1 = cell36)), introduced(assumption)).
% 2.10/2.20 tff(6925,plain,
% 2.10/2.20 (((~(X!1 = cell36)) | (~(cell99 = cell35))) | (X!1 = cell36)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6926,plain,
% 2.10/2.20 ((~(X!1 = cell36)) | (~(cell99 = cell35))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6925, 6924])).
% 2.10/2.20 tff(6927,assumption,(~(X!1 = cell37)), introduced(assumption)).
% 2.10/2.20 tff(6928,plain,
% 2.10/2.20 (((~(X!1 = cell37)) | (~(cell99 = cell36))) | (X!1 = cell37)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6929,plain,
% 2.10/2.20 ((~(X!1 = cell37)) | (~(cell99 = cell36))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6928, 6927])).
% 2.10/2.20 tff(6930,assumption,(~(X!1 = cell38)), introduced(assumption)).
% 2.10/2.20 tff(6931,plain,
% 2.10/2.20 (((~(X!1 = cell38)) | (~(cell99 = cell37))) | (X!1 = cell38)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6932,plain,
% 2.10/2.20 ((~(X!1 = cell38)) | (~(cell99 = cell37))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6931, 6930])).
% 2.10/2.20 tff(6933,assumption,(~(X!1 = cell39)), introduced(assumption)).
% 2.10/2.20 tff(6934,plain,
% 2.10/2.20 (((~(X!1 = cell39)) | (~(cell99 = cell38))) | (X!1 = cell39)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6935,plain,
% 2.10/2.20 ((~(X!1 = cell39)) | (~(cell99 = cell38))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6934, 6933])).
% 2.10/2.20 tff(6936,assumption,(~(X!1 = cell40)), introduced(assumption)).
% 2.10/2.20 tff(6937,plain,
% 2.10/2.20 (((~(X!1 = cell40)) | (~(cell99 = cell39))) | (X!1 = cell40)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6938,plain,
% 2.10/2.20 ((~(X!1 = cell40)) | (~(cell99 = cell39))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6937, 6936])).
% 2.10/2.20 tff(6939,assumption,(~(X!1 = cell42)), introduced(assumption)).
% 2.10/2.20 tff(6940,plain,
% 2.10/2.20 (((~(X!1 = cell42)) | (~(cell99 = cell41))) | (X!1 = cell42)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6941,plain,
% 2.10/2.20 ((~(X!1 = cell42)) | (~(cell99 = cell41))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6940, 6939])).
% 2.10/2.20 tff(6942,assumption,(~(X!1 = cell43)), introduced(assumption)).
% 2.10/2.20 tff(6943,plain,
% 2.10/2.20 (((~(X!1 = cell43)) | (~(cell99 = cell42))) | (X!1 = cell43)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6944,plain,
% 2.10/2.20 ((~(X!1 = cell43)) | (~(cell99 = cell42))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6943, 6942])).
% 2.10/2.20 tff(6945,assumption,(~(X!1 = cell44)), introduced(assumption)).
% 2.10/2.20 tff(6946,plain,
% 2.10/2.20 (((~(X!1 = cell44)) | (~(cell99 = cell43))) | (X!1 = cell44)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6947,plain,
% 2.10/2.20 ((~(X!1 = cell44)) | (~(cell99 = cell43))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6946, 6945])).
% 2.10/2.20 tff(6948,assumption,(~(X!1 = cell45)), introduced(assumption)).
% 2.10/2.20 tff(6949,plain,
% 2.10/2.20 (((~(X!1 = cell45)) | (~(cell99 = cell44))) | (X!1 = cell45)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6950,plain,
% 2.10/2.20 ((~(X!1 = cell45)) | (~(cell99 = cell44))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6949, 6948])).
% 2.10/2.20 tff(6951,assumption,(~(X!1 = cell46)), introduced(assumption)).
% 2.10/2.20 tff(6952,plain,
% 2.10/2.20 (((~(X!1 = cell46)) | (~(cell99 = cell45))) | (X!1 = cell46)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6953,plain,
% 2.10/2.20 ((~(X!1 = cell46)) | (~(cell99 = cell45))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6952, 6951])).
% 2.10/2.20 tff(6954,assumption,(~(X!1 = cell47)), introduced(assumption)).
% 2.10/2.20 tff(6955,plain,
% 2.10/2.20 (((~(X!1 = cell47)) | (~(cell99 = cell46))) | (X!1 = cell47)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6956,plain,
% 2.10/2.20 ((~(X!1 = cell47)) | (~(cell99 = cell46))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6955, 6954])).
% 2.10/2.20 tff(6957,assumption,(~(X!1 = cell48)), introduced(assumption)).
% 2.10/2.20 tff(6958,plain,
% 2.10/2.20 (((~(X!1 = cell48)) | (~(cell99 = cell47))) | (X!1 = cell48)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6959,plain,
% 2.10/2.20 ((~(X!1 = cell48)) | (~(cell99 = cell47))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6958, 6957])).
% 2.10/2.20 tff(6960,assumption,(~(X!1 = cell49)), introduced(assumption)).
% 2.10/2.20 tff(6961,plain,
% 2.10/2.20 (((~(X!1 = cell49)) | (~(cell99 = cell48))) | (X!1 = cell49)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6962,plain,
% 2.10/2.20 ((~(X!1 = cell49)) | (~(cell99 = cell48))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6961, 6960])).
% 2.10/2.20 tff(6963,assumption,(~(X!1 = cell50)), introduced(assumption)).
% 2.10/2.20 tff(6964,plain,
% 2.10/2.20 (((~(X!1 = cell50)) | (~(cell99 = cell49))) | (X!1 = cell50)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6965,plain,
% 2.10/2.20 ((~(X!1 = cell50)) | (~(cell99 = cell49))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6964, 6963])).
% 2.10/2.20 tff(6966,assumption,(~(X!1 = cell52)), introduced(assumption)).
% 2.10/2.20 tff(6967,plain,
% 2.10/2.20 (((~(X!1 = cell52)) | (~(cell99 = cell51))) | (X!1 = cell52)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6968,plain,
% 2.10/2.20 ((~(X!1 = cell52)) | (~(cell99 = cell51))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6967, 6966])).
% 2.10/2.20 tff(6969,assumption,(~(X!1 = cell53)), introduced(assumption)).
% 2.10/2.20 tff(6970,plain,
% 2.10/2.20 (((~(X!1 = cell53)) | (~(cell99 = cell52))) | (X!1 = cell53)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6971,plain,
% 2.10/2.20 ((~(X!1 = cell53)) | (~(cell99 = cell52))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6970, 6969])).
% 2.10/2.20 tff(6972,assumption,(~(X!1 = cell54)), introduced(assumption)).
% 2.10/2.20 tff(6973,plain,
% 2.10/2.20 (((~(X!1 = cell54)) | (~(cell99 = cell53))) | (X!1 = cell54)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6974,plain,
% 2.10/2.20 ((~(X!1 = cell54)) | (~(cell99 = cell53))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6973, 6972])).
% 2.10/2.20 tff(6975,assumption,(~(X!1 = cell55)), introduced(assumption)).
% 2.10/2.20 tff(6976,plain,
% 2.10/2.20 (((~(X!1 = cell55)) | (~(cell99 = cell54))) | (X!1 = cell55)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6977,plain,
% 2.10/2.20 ((~(X!1 = cell55)) | (~(cell99 = cell54))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6976, 6975])).
% 2.10/2.20 tff(6978,assumption,(~(X!1 = cell56)), introduced(assumption)).
% 2.10/2.20 tff(6979,plain,
% 2.10/2.20 (((~(X!1 = cell56)) | (~(cell99 = cell55))) | (X!1 = cell56)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6980,plain,
% 2.10/2.20 ((~(X!1 = cell56)) | (~(cell99 = cell55))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6979, 6978])).
% 2.10/2.20 tff(6981,assumption,(~(X!1 = cell57)), introduced(assumption)).
% 2.10/2.20 tff(6982,plain,
% 2.10/2.20 (((~(X!1 = cell57)) | (~(cell99 = cell56))) | (X!1 = cell57)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6983,plain,
% 2.10/2.20 ((~(X!1 = cell57)) | (~(cell99 = cell56))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6982, 6981])).
% 2.10/2.20 tff(6984,assumption,(~(X!1 = cell58)), introduced(assumption)).
% 2.10/2.20 tff(6985,plain,
% 2.10/2.20 (((~(X!1 = cell58)) | (~(cell99 = cell57))) | (X!1 = cell58)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6986,plain,
% 2.10/2.20 ((~(X!1 = cell58)) | (~(cell99 = cell57))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6985, 6984])).
% 2.10/2.20 tff(6987,assumption,(~(X!1 = cell59)), introduced(assumption)).
% 2.10/2.20 tff(6988,plain,
% 2.10/2.20 (((~(X!1 = cell59)) | (~(cell99 = cell58))) | (X!1 = cell59)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6989,plain,
% 2.10/2.20 ((~(X!1 = cell59)) | (~(cell99 = cell58))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6988, 6987])).
% 2.10/2.20 tff(6990,assumption,(~(X!1 = cell60)), introduced(assumption)).
% 2.10/2.20 tff(6991,plain,
% 2.10/2.20 (((~(X!1 = cell60)) | (~(cell99 = cell59))) | (X!1 = cell60)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6992,plain,
% 2.10/2.20 ((~(X!1 = cell60)) | (~(cell99 = cell59))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6991, 6990])).
% 2.10/2.20 tff(6993,assumption,(~(X!1 = cell62)), introduced(assumption)).
% 2.10/2.20 tff(6994,plain,
% 2.10/2.20 (((~(X!1 = cell62)) | (~(cell99 = cell61))) | (X!1 = cell62)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6995,plain,
% 2.10/2.20 ((~(X!1 = cell62)) | (~(cell99 = cell61))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6994, 6993])).
% 2.10/2.20 tff(6996,assumption,(~(X!1 = cell63)), introduced(assumption)).
% 2.10/2.20 tff(6997,plain,
% 2.10/2.20 (((~(X!1 = cell63)) | (~(cell99 = cell62))) | (X!1 = cell63)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(6998,plain,
% 2.10/2.20 ((~(X!1 = cell63)) | (~(cell99 = cell62))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[6997, 6996])).
% 2.10/2.20 tff(6999,assumption,(~(X!1 = cell64)), introduced(assumption)).
% 2.10/2.20 tff(7000,plain,
% 2.10/2.20 (((~(X!1 = cell64)) | (~(cell99 = cell63))) | (X!1 = cell64)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7001,plain,
% 2.10/2.20 ((~(X!1 = cell64)) | (~(cell99 = cell63))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7000, 6999])).
% 2.10/2.20 tff(7002,assumption,(~(X!1 = cell65)), introduced(assumption)).
% 2.10/2.20 tff(7003,plain,
% 2.10/2.20 (((~(X!1 = cell65)) | (~(cell99 = cell64))) | (X!1 = cell65)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7004,plain,
% 2.10/2.20 ((~(X!1 = cell65)) | (~(cell99 = cell64))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7003, 7002])).
% 2.10/2.20 tff(7005,assumption,(~(X!1 = cell66)), introduced(assumption)).
% 2.10/2.20 tff(7006,plain,
% 2.10/2.20 (((~(X!1 = cell66)) | (~(cell99 = cell65))) | (X!1 = cell66)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7007,plain,
% 2.10/2.20 ((~(X!1 = cell66)) | (~(cell99 = cell65))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7006, 7005])).
% 2.10/2.20 tff(7008,assumption,(~(X!1 = cell67)), introduced(assumption)).
% 2.10/2.20 tff(7009,plain,
% 2.10/2.20 (((~(X!1 = cell67)) | (~(cell99 = cell66))) | (X!1 = cell67)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7010,plain,
% 2.10/2.20 ((~(X!1 = cell67)) | (~(cell99 = cell66))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7009, 7008])).
% 2.10/2.20 tff(7011,assumption,(~(X!1 = cell68)), introduced(assumption)).
% 2.10/2.20 tff(7012,plain,
% 2.10/2.20 (((~(X!1 = cell68)) | (~(cell99 = cell67))) | (X!1 = cell68)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7013,plain,
% 2.10/2.20 ((~(X!1 = cell68)) | (~(cell99 = cell67))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7012, 7011])).
% 2.10/2.20 tff(7014,plain,
% 2.10/2.20 (((~(X!1 = cell69)) | (~(cell99 = cell68))) | (X!1 = cell69)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7015,plain,
% 2.10/2.20 ((~(X!1 = cell69)) | (~(cell99 = cell68))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7014, 1218])).
% 2.10/2.20 tff(7016,assumption,(~(X!1 = cell70)), introduced(assumption)).
% 2.10/2.20 tff(7017,plain,
% 2.10/2.20 (((~(X!1 = cell70)) | (~(cell99 = cell69))) | (X!1 = cell70)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7018,plain,
% 2.10/2.20 ((~(X!1 = cell70)) | (~(cell99 = cell69))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7017, 7016])).
% 2.10/2.20 tff(7019,assumption,(~(X!1 = cell72)), introduced(assumption)).
% 2.10/2.20 tff(7020,plain,
% 2.10/2.20 (((~(X!1 = cell72)) | (~(cell99 = cell71))) | (X!1 = cell72)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7021,plain,
% 2.10/2.20 ((~(X!1 = cell72)) | (~(cell99 = cell71))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7020, 7019])).
% 2.10/2.20 tff(7022,assumption,(~(X!1 = cell73)), introduced(assumption)).
% 2.10/2.20 tff(7023,plain,
% 2.10/2.20 (((~(X!1 = cell73)) | (~(cell99 = cell72))) | (X!1 = cell73)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7024,plain,
% 2.10/2.20 ((~(X!1 = cell73)) | (~(cell99 = cell72))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7023, 7022])).
% 2.10/2.20 tff(7025,assumption,(~(X!1 = cell74)), introduced(assumption)).
% 2.10/2.20 tff(7026,plain,
% 2.10/2.20 (((~(X!1 = cell74)) | (~(cell99 = cell73))) | (X!1 = cell74)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7027,plain,
% 2.10/2.20 ((~(X!1 = cell74)) | (~(cell99 = cell73))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7026, 7025])).
% 2.10/2.20 tff(7028,assumption,(~(X!1 = cell75)), introduced(assumption)).
% 2.10/2.20 tff(7029,plain,
% 2.10/2.20 (((~(X!1 = cell75)) | (~(cell99 = cell74))) | (X!1 = cell75)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7030,plain,
% 2.10/2.20 ((~(X!1 = cell75)) | (~(cell99 = cell74))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7029, 7028])).
% 2.10/2.20 tff(7031,assumption,(~(X!1 = cell76)), introduced(assumption)).
% 2.10/2.20 tff(7032,plain,
% 2.10/2.20 (((~(X!1 = cell76)) | (~(cell99 = cell75))) | (X!1 = cell76)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7033,plain,
% 2.10/2.20 ((~(X!1 = cell76)) | (~(cell99 = cell75))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7032, 7031])).
% 2.10/2.20 tff(7034,assumption,(~(X!1 = cell77)), introduced(assumption)).
% 2.10/2.20 tff(7035,plain,
% 2.10/2.20 (((~(X!1 = cell77)) | (~(cell99 = cell76))) | (X!1 = cell77)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7036,plain,
% 2.10/2.20 ((~(X!1 = cell77)) | (~(cell99 = cell76))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7035, 7034])).
% 2.10/2.20 tff(7037,plain,
% 2.10/2.20 (((~(X!1 = cell78)) | (~(cell99 = cell77))) | (X!1 = cell78)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7038,plain,
% 2.10/2.20 ((~(X!1 = cell78)) | (~(cell99 = cell77))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7037, 1217])).
% 2.10/2.20 tff(7039,assumption,(~(X!1 = cell79)), introduced(assumption)).
% 2.10/2.20 tff(7040,plain,
% 2.10/2.20 (((~(X!1 = cell79)) | (~(cell99 = cell78))) | (X!1 = cell79)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7041,plain,
% 2.10/2.20 ((~(X!1 = cell79)) | (~(cell99 = cell78))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7040, 7039])).
% 2.10/2.20 tff(7042,assumption,(~(X!1 = cell80)), introduced(assumption)).
% 2.10/2.20 tff(7043,plain,
% 2.10/2.20 (((~(X!1 = cell80)) | (~(cell99 = cell79))) | (X!1 = cell80)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7044,plain,
% 2.10/2.20 ((~(X!1 = cell80)) | (~(cell99 = cell79))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7043, 7042])).
% 2.10/2.20 tff(7045,assumption,(~(X!1 = cell82)), introduced(assumption)).
% 2.10/2.20 tff(7046,plain,
% 2.10/2.20 (((~(X!1 = cell82)) | (~(cell99 = cell81))) | (X!1 = cell82)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7047,plain,
% 2.10/2.20 ((~(X!1 = cell82)) | (~(cell99 = cell81))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7046, 7045])).
% 2.10/2.20 tff(7048,assumption,(~(X!1 = cell83)), introduced(assumption)).
% 2.10/2.20 tff(7049,plain,
% 2.10/2.20 (((~(X!1 = cell83)) | (~(cell99 = cell82))) | (X!1 = cell83)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7050,plain,
% 2.10/2.20 ((~(X!1 = cell83)) | (~(cell99 = cell82))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7049, 7048])).
% 2.10/2.20 tff(7051,assumption,(~(X!1 = cell84)), introduced(assumption)).
% 2.10/2.20 tff(7052,plain,
% 2.10/2.20 (((~(X!1 = cell84)) | (~(cell99 = cell83))) | (X!1 = cell84)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7053,plain,
% 2.10/2.20 ((~(X!1 = cell84)) | (~(cell99 = cell83))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7052, 7051])).
% 2.10/2.20 tff(7054,assumption,(~(X!1 = cell85)), introduced(assumption)).
% 2.10/2.20 tff(7055,plain,
% 2.10/2.20 (((~(X!1 = cell85)) | (~(cell99 = cell84))) | (X!1 = cell85)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7056,plain,
% 2.10/2.20 ((~(X!1 = cell85)) | (~(cell99 = cell84))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7055, 7054])).
% 2.10/2.20 tff(7057,assumption,(~(X!1 = cell86)), introduced(assumption)).
% 2.10/2.20 tff(7058,plain,
% 2.10/2.20 (((~(X!1 = cell86)) | (~(cell99 = cell85))) | (X!1 = cell86)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7059,plain,
% 2.10/2.20 ((~(X!1 = cell86)) | (~(cell99 = cell85))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7058, 7057])).
% 2.10/2.20 tff(7060,assumption,(~(X!1 = cell87)), introduced(assumption)).
% 2.10/2.20 tff(7061,plain,
% 2.10/2.20 (((~(X!1 = cell87)) | (~(cell99 = cell86))) | (X!1 = cell87)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7062,plain,
% 2.10/2.20 ((~(X!1 = cell87)) | (~(cell99 = cell86))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7061, 7060])).
% 2.10/2.20 tff(7063,assumption,(~(X!1 = cell88)), introduced(assumption)).
% 2.10/2.20 tff(7064,plain,
% 2.10/2.20 (((~(X!1 = cell88)) | (~(cell99 = cell87))) | (X!1 = cell88)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7065,plain,
% 2.10/2.20 ((~(X!1 = cell88)) | (~(cell99 = cell87))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7064, 7063])).
% 2.10/2.20 tff(7066,assumption,(~(X!1 = cell89)), introduced(assumption)).
% 2.10/2.20 tff(7067,plain,
% 2.10/2.20 (((~(X!1 = cell89)) | (~(cell99 = cell88))) | (X!1 = cell89)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7068,plain,
% 2.10/2.20 ((~(X!1 = cell89)) | (~(cell99 = cell88))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7067, 7066])).
% 2.10/2.20 tff(7069,assumption,(~(X!1 = cell90)), introduced(assumption)).
% 2.10/2.20 tff(7070,plain,
% 2.10/2.20 (((~(X!1 = cell90)) | (~(cell99 = cell89))) | (X!1 = cell90)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7071,plain,
% 2.10/2.20 ((~(X!1 = cell90)) | (~(cell99 = cell89))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7070, 7069])).
% 2.10/2.20 tff(7072,assumption,(~(X!1 = cell92)), introduced(assumption)).
% 2.10/2.20 tff(7073,plain,
% 2.10/2.20 (((~(X!1 = cell92)) | (~(cell99 = cell91))) | (X!1 = cell92)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7074,plain,
% 2.10/2.20 ((~(X!1 = cell92)) | (~(cell99 = cell91))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7073, 7072])).
% 2.10/2.20 tff(7075,assumption,(~(X!1 = cell93)), introduced(assumption)).
% 2.10/2.20 tff(7076,plain,
% 2.10/2.20 (((~(X!1 = cell93)) | (~(cell99 = cell92))) | (X!1 = cell93)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7077,plain,
% 2.10/2.20 ((~(X!1 = cell93)) | (~(cell99 = cell92))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7076, 7075])).
% 2.10/2.20 tff(7078,assumption,(~(X!1 = cell94)), introduced(assumption)).
% 2.10/2.20 tff(7079,plain,
% 2.10/2.20 (((~(X!1 = cell94)) | (~(cell99 = cell93))) | (X!1 = cell94)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7080,plain,
% 2.10/2.20 ((~(X!1 = cell94)) | (~(cell99 = cell93))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7079, 7078])).
% 2.10/2.20 tff(7081,assumption,(~(X!1 = cell95)), introduced(assumption)).
% 2.10/2.20 tff(7082,plain,
% 2.10/2.20 (((~(X!1 = cell95)) | (~(cell99 = cell94))) | (X!1 = cell95)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7083,plain,
% 2.10/2.20 ((~(X!1 = cell95)) | (~(cell99 = cell94))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7082, 7081])).
% 2.10/2.20 tff(7084,assumption,(~(X!1 = cell96)), introduced(assumption)).
% 2.10/2.20 tff(7085,plain,
% 2.10/2.20 (((~(X!1 = cell96)) | (~(cell99 = cell95))) | (X!1 = cell96)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7086,plain,
% 2.10/2.20 ((~(X!1 = cell96)) | (~(cell99 = cell95))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7085, 7084])).
% 2.10/2.20 tff(7087,assumption,(~(X!1 = cell97)), introduced(assumption)).
% 2.10/2.20 tff(7088,plain,
% 2.10/2.20 (((~(X!1 = cell97)) | (~(cell99 = cell96))) | (X!1 = cell97)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7089,plain,
% 2.10/2.20 ((~(X!1 = cell97)) | (~(cell99 = cell96))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7088, 7087])).
% 2.10/2.20 tff(7090,assumption,(~(X!1 = cell98)), introduced(assumption)).
% 2.10/2.20 tff(7091,plain,
% 2.10/2.20 (((~(X!1 = cell98)) | (~(cell99 = cell97))) | (X!1 = cell98)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7092,plain,
% 2.10/2.20 ((~(X!1 = cell98)) | (~(cell99 = cell97))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7091, 7090])).
% 2.10/2.20 tff(7093,assumption,(~(X!1 = cell99)), introduced(assumption)).
% 2.10/2.20 tff(7094,plain,
% 2.10/2.20 (((~(X!1 = cell99)) | (~(cell99 = cell98))) | (X!1 = cell99)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7095,plain,
% 2.10/2.20 ((~(X!1 = cell99)) | (~(cell99 = cell98))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7094, 7093])).
% 2.10/2.20 tff(7096,assumption,(~(X!1 = cell11)), introduced(assumption)).
% 2.10/2.20 tff(7097,plain,
% 2.10/2.20 (((~(X!1 = cell11)) | (~(cell99 = cell1))) | (X!1 = cell11)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7098,plain,
% 2.10/2.20 ((~(X!1 = cell11)) | (~(cell99 = cell1))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7097, 7096])).
% 2.10/2.20 tff(7099,plain,
% 2.10/2.20 (((~(X!1 = cell13)) | (~(cell99 = cell3))) | (X!1 = cell13)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7100,plain,
% 2.10/2.20 ((~(X!1 = cell13)) | (~(cell99 = cell3))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7099, 29])).
% 2.10/2.20 tff(7101,assumption,(~(X!1 = cell14)), introduced(assumption)).
% 2.10/2.20 tff(7102,plain,
% 2.10/2.20 (((~(X!1 = cell14)) | (~(cell99 = cell4))) | (X!1 = cell14)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7103,plain,
% 2.10/2.20 ((~(X!1 = cell14)) | (~(cell99 = cell4))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7102, 7101])).
% 2.10/2.20 tff(7104,plain,
% 2.10/2.20 (((~(X!1 = cell15)) | (~(cell99 = cell5))) | (X!1 = cell15)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7105,plain,
% 2.10/2.20 ((~(X!1 = cell15)) | (~(cell99 = cell5))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7104, 6873])).
% 2.10/2.20 tff(7106,plain,
% 2.10/2.20 (((~(X!1 = cell16)) | (~(cell99 = cell6))) | (X!1 = cell16)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7107,plain,
% 2.10/2.20 ((~(X!1 = cell16)) | (~(cell99 = cell6))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7106, 6876])).
% 2.10/2.20 tff(7108,plain,
% 2.10/2.20 (((~(X!1 = cell17)) | (~(cell99 = cell7))) | (X!1 = cell17)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7109,plain,
% 2.10/2.20 ((~(X!1 = cell17)) | (~(cell99 = cell7))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7108, 6879])).
% 2.10/2.20 tff(7110,plain,
% 2.10/2.20 (((~(X!1 = cell18)) | (~(cell99 = cell8))) | (X!1 = cell18)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7111,plain,
% 2.10/2.20 ((~(X!1 = cell18)) | (~(cell99 = cell8))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7110, 6882])).
% 2.10/2.20 tff(7112,plain,
% 2.10/2.20 (((~(X!1 = cell19)) | (~(cell99 = cell9))) | (X!1 = cell19)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7113,plain,
% 2.10/2.20 ((~(X!1 = cell19)) | (~(cell99 = cell9))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7112, 6885])).
% 2.10/2.20 tff(7114,plain,
% 2.10/2.20 (((~(X!1 = cell20)) | (~(cell99 = cell10))) | (X!1 = cell20)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7115,plain,
% 2.10/2.20 ((~(X!1 = cell20)) | (~(cell99 = cell10))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7114, 6888])).
% 2.10/2.20 tff(7116,plain,
% 2.10/2.20 (((~(X!1 = cell24)) | (~(cell99 = cell14))) | (X!1 = cell24)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7117,plain,
% 2.10/2.20 ((~(X!1 = cell24)) | (~(cell99 = cell14))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7116, 6891])).
% 2.10/2.20 tff(7118,plain,
% 2.10/2.20 (((~(X!1 = cell25)) | (~(cell99 = cell15))) | (X!1 = cell25)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7119,plain,
% 2.10/2.20 ((~(X!1 = cell25)) | (~(cell99 = cell15))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7118, 6894])).
% 2.10/2.20 tff(7120,plain,
% 2.10/2.20 (((~(X!1 = cell26)) | (~(cell99 = cell16))) | (X!1 = cell26)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7121,plain,
% 2.10/2.20 ((~(X!1 = cell26)) | (~(cell99 = cell16))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7120, 6897])).
% 2.10/2.20 tff(7122,plain,
% 2.10/2.20 (((~(X!1 = cell27)) | (~(cell99 = cell17))) | (X!1 = cell27)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7123,plain,
% 2.10/2.20 ((~(X!1 = cell27)) | (~(cell99 = cell17))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7122, 6900])).
% 2.10/2.20 tff(7124,plain,
% 2.10/2.20 (((~(X!1 = cell28)) | (~(cell99 = cell18))) | (X!1 = cell28)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7125,plain,
% 2.10/2.20 ((~(X!1 = cell28)) | (~(cell99 = cell18))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7124, 6903])).
% 2.10/2.20 tff(7126,plain,
% 2.10/2.20 (((~(X!1 = cell29)) | (~(cell99 = cell19))) | (X!1 = cell29)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7127,plain,
% 2.10/2.20 ((~(X!1 = cell29)) | (~(cell99 = cell19))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7126, 6906])).
% 2.10/2.20 tff(7128,plain,
% 2.10/2.20 (((~(X!1 = cell30)) | (~(cell99 = cell20))) | (X!1 = cell30)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7129,plain,
% 2.10/2.20 ((~(X!1 = cell30)) | (~(cell99 = cell20))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7128, 6909])).
% 2.10/2.20 tff(7130,assumption,(~(X!1 = cell31)), introduced(assumption)).
% 2.10/2.20 tff(7131,plain,
% 2.10/2.20 (((~(X!1 = cell31)) | (~(cell99 = cell21))) | (X!1 = cell31)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7132,plain,
% 2.10/2.20 ((~(X!1 = cell31)) | (~(cell99 = cell21))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7131, 7130])).
% 2.10/2.20 tff(7133,plain,
% 2.10/2.20 (((~(X!1 = cell33)) | (~(cell99 = cell23))) | (X!1 = cell33)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7134,plain,
% 2.10/2.20 ((~(X!1 = cell33)) | (~(cell99 = cell23))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7133, 6915])).
% 2.10/2.20 tff(7135,plain,
% 2.10/2.20 (((~(X!1 = cell34)) | (~(cell99 = cell24))) | (X!1 = cell34)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7136,plain,
% 2.10/2.20 ((~(X!1 = cell34)) | (~(cell99 = cell24))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7135, 6918])).
% 2.10/2.20 tff(7137,plain,
% 2.10/2.20 (((~(X!1 = cell35)) | (~(cell99 = cell25))) | (X!1 = cell35)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7138,plain,
% 2.10/2.20 ((~(X!1 = cell35)) | (~(cell99 = cell25))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7137, 6921])).
% 2.10/2.20 tff(7139,plain,
% 2.10/2.20 (((~(X!1 = cell36)) | (~(cell99 = cell26))) | (X!1 = cell36)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7140,plain,
% 2.10/2.20 ((~(X!1 = cell36)) | (~(cell99 = cell26))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7139, 6924])).
% 2.10/2.20 tff(7141,plain,
% 2.10/2.20 (((~(X!1 = cell37)) | (~(cell99 = cell27))) | (X!1 = cell37)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7142,plain,
% 2.10/2.20 ((~(X!1 = cell37)) | (~(cell99 = cell27))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7141, 6927])).
% 2.10/2.20 tff(7143,plain,
% 2.10/2.20 (((~(X!1 = cell38)) | (~(cell99 = cell28))) | (X!1 = cell38)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7144,plain,
% 2.10/2.20 ((~(X!1 = cell38)) | (~(cell99 = cell28))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7143, 6930])).
% 2.10/2.20 tff(7145,plain,
% 2.10/2.20 (((~(X!1 = cell39)) | (~(cell99 = cell29))) | (X!1 = cell39)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7146,plain,
% 2.10/2.20 ((~(X!1 = cell39)) | (~(cell99 = cell29))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7145, 6933])).
% 2.10/2.20 tff(7147,plain,
% 2.10/2.20 (((~(X!1 = cell40)) | (~(cell99 = cell30))) | (X!1 = cell40)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7148,plain,
% 2.10/2.20 ((~(X!1 = cell40)) | (~(cell99 = cell30))),
% 2.10/2.20 inference(unit_resolution,[status(thm)],[7147, 6936])).
% 2.10/2.20 tff(7149,assumption,(~(X!1 = cell41)), introduced(assumption)).
% 2.10/2.20 tff(7150,plain,
% 2.10/2.20 (((~(X!1 = cell41)) | (~(cell99 = cell31))) | (X!1 = cell41)),
% 2.10/2.20 inference(tautology,[status(thm)],[])).
% 2.10/2.20 tff(7151,plain,
% 2.10/2.20 ((~(X!1 = cell41)) | (~(cell99 = cell31))),
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% 2.10/2.21 tff(7261,plain,
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% 2.18/2.21 tff(7277,plain,
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% 2.18/2.25 inference(modus_ponens,[status(thm)],[7377, 7374])).
% 2.18/2.25 tff(7379,plain,
% 2.18/2.25 ((~(X!1 = cell9)) | (~(cell99 = cell8))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6868, 7378])).
% 2.18/2.25 tff(7380,plain,
% 2.18/2.25 ((cell10 = cell2) <=> (cell10 = X!1)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7381,plain,
% 2.18/2.25 ((cell10 = cell2) <=> (X!1 = cell10)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7380, 6776])).
% 2.18/2.25 tff(7382,plain,
% 2.18/2.25 ((~(cell10 = cell2)) <=> (~(X!1 = cell10))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7381])).
% 2.18/2.25 tff(7383,plain,
% 2.18/2.25 ((~(cell10 = cell2)) <=> (~(cell10 = cell2))),
% 2.18/2.25 inference(rewrite,[status(thm)],[])).
% 2.18/2.25 tff(7384,axiom,(~(cell10 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49775')).
% 2.18/2.25 tff(7385,plain,
% 2.18/2.25 (~(cell10 = cell2)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7384, 7383])).
% 2.18/2.25 tff(7386,plain,
% 2.18/2.25 (~(X!1 = cell10)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7385, 7382])).
% 2.18/2.25 tff(7387,plain,
% 2.18/2.25 ((~(X!1 = cell10)) | (~(cell99 = cell9))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6871, 7386])).
% 2.18/2.25 tff(7388,plain,
% 2.18/2.25 ((cell15 = cell2) <=> (cell15 = X!1)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7389,plain,
% 2.18/2.25 ((cell15 = cell2) <=> (X!1 = cell15)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7388, 6768])).
% 2.18/2.25 tff(7390,plain,
% 2.18/2.25 ((~(cell15 = cell2)) <=> (~(X!1 = cell15))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7389])).
% 2.18/2.25 tff(7391,plain,
% 2.18/2.25 ((~(cell15 = cell2)) <=> (~(cell15 = cell2))),
% 2.18/2.25 inference(rewrite,[status(thm)],[])).
% 2.18/2.25 tff(7392,axiom,(~(cell15 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49738')).
% 2.18/2.25 tff(7393,plain,
% 2.18/2.25 (~(cell15 = cell2)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 2.18/2.25 tff(7394,plain,
% 2.18/2.25 (~(X!1 = cell15)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7393, 7390])).
% 2.18/2.25 tff(7395,plain,
% 2.18/2.25 ((~(X!1 = cell15)) | (~(cell99 = cell14))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6874, 7394])).
% 2.18/2.25 tff(7396,plain,
% 2.18/2.25 ((cell16 = cell2) <=> (cell16 = X!1)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7397,plain,
% 2.18/2.25 ((cell16 = cell2) <=> (X!1 = cell16)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7396, 6760])).
% 2.18/2.25 tff(7398,plain,
% 2.18/2.25 ((~(cell16 = cell2)) <=> (~(X!1 = cell16))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7397])).
% 2.18/2.25 tff(7399,plain,
% 2.18/2.25 ((~(cell16 = cell2)) <=> (~(cell16 = cell2))),
% 2.18/2.25 inference(rewrite,[status(thm)],[])).
% 2.18/2.25 tff(7400,axiom,(~(cell16 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49718')).
% 2.18/2.25 tff(7401,plain,
% 2.18/2.25 (~(cell16 = cell2)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7400, 7399])).
% 2.18/2.25 tff(7402,plain,
% 2.18/2.25 (~(X!1 = cell16)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7401, 7398])).
% 2.18/2.25 tff(7403,plain,
% 2.18/2.25 ((~(X!1 = cell16)) | (~(cell99 = cell15))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6877, 7402])).
% 2.18/2.25 tff(7404,plain,
% 2.18/2.25 ((cell17 = cell2) <=> (cell17 = X!1)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7405,plain,
% 2.18/2.25 ((cell17 = cell2) <=> (X!1 = cell17)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7404, 6752])).
% 2.18/2.25 tff(7406,plain,
% 2.18/2.25 ((~(cell17 = cell2)) <=> (~(X!1 = cell17))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7405])).
% 2.18/2.25 tff(7407,plain,
% 2.18/2.25 ((~(cell17 = cell2)) <=> (~(cell17 = cell2))),
% 2.18/2.25 inference(rewrite,[status(thm)],[])).
% 2.18/2.25 tff(7408,axiom,(~(cell17 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49697')).
% 2.18/2.25 tff(7409,plain,
% 2.18/2.25 (~(cell17 = cell2)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7408, 7407])).
% 2.18/2.25 tff(7410,plain,
% 2.18/2.25 (~(X!1 = cell17)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7409, 7406])).
% 2.18/2.25 tff(7411,plain,
% 2.18/2.25 ((~(X!1 = cell17)) | (~(cell99 = cell16))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6880, 7410])).
% 2.18/2.25 tff(7412,plain,
% 2.18/2.25 ((cell18 = cell2) <=> (cell18 = X!1)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7413,plain,
% 2.18/2.25 ((cell18 = cell2) <=> (X!1 = cell18)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7412, 6744])).
% 2.18/2.25 tff(7414,plain,
% 2.18/2.25 ((~(cell18 = cell2)) <=> (~(X!1 = cell18))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7413])).
% 2.18/2.25 tff(7415,plain,
% 2.18/2.25 ((~(cell18 = cell2)) <=> (~(cell18 = cell2))),
% 2.18/2.25 inference(rewrite,[status(thm)],[])).
% 2.18/2.25 tff(7416,axiom,(~(cell18 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49675')).
% 2.18/2.25 tff(7417,plain,
% 2.18/2.25 (~(cell18 = cell2)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7416, 7415])).
% 2.18/2.25 tff(7418,plain,
% 2.18/2.25 (~(X!1 = cell18)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7417, 7414])).
% 2.18/2.25 tff(7419,plain,
% 2.18/2.25 ((~(X!1 = cell18)) | (~(cell99 = cell17))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6883, 7418])).
% 2.18/2.25 tff(7420,plain,
% 2.18/2.25 ((cell19 = cell2) <=> (cell19 = X!1)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7421,plain,
% 2.18/2.25 ((cell19 = cell2) <=> (X!1 = cell19)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7420, 6736])).
% 2.18/2.25 tff(7422,plain,
% 2.18/2.25 ((~(cell19 = cell2)) <=> (~(X!1 = cell19))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7421])).
% 2.18/2.25 tff(7423,plain,
% 2.18/2.25 ((~(cell19 = cell2)) <=> (~(cell19 = cell2))),
% 2.18/2.25 inference(rewrite,[status(thm)],[])).
% 2.18/2.25 tff(7424,axiom,(~(cell19 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49652')).
% 2.18/2.25 tff(7425,plain,
% 2.18/2.25 (~(cell19 = cell2)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7424, 7423])).
% 2.18/2.25 tff(7426,plain,
% 2.18/2.25 (~(X!1 = cell19)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7425, 7422])).
% 2.18/2.25 tff(7427,plain,
% 2.18/2.25 ((~(X!1 = cell19)) | (~(cell99 = cell18))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6886, 7426])).
% 2.18/2.25 tff(7428,plain,
% 2.18/2.25 ((cell20 = cell2) <=> (cell20 = X!1)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7429,plain,
% 2.18/2.25 ((cell20 = cell2) <=> (X!1 = cell20)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7428, 6728])).
% 2.18/2.25 tff(7430,plain,
% 2.18/2.25 ((~(cell20 = cell2)) <=> (~(X!1 = cell20))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7429])).
% 2.18/2.25 tff(7431,plain,
% 2.18/2.25 ((~(cell20 = cell2)) <=> (~(cell20 = cell2))),
% 2.18/2.25 inference(rewrite,[status(thm)],[])).
% 2.18/2.25 tff(7432,axiom,(~(cell20 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49628')).
% 2.18/2.25 tff(7433,plain,
% 2.18/2.25 (~(cell20 = cell2)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7432, 7431])).
% 2.18/2.25 tff(7434,plain,
% 2.18/2.25 (~(X!1 = cell20)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7433, 7430])).
% 2.18/2.25 tff(7435,plain,
% 2.18/2.25 ((~(X!1 = cell20)) | (~(cell99 = cell19))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6889, 7434])).
% 2.18/2.25 tff(7436,plain,
% 2.18/2.25 ((X!1 = cell22) <=> (cell22 = X!1)),
% 2.18/2.25 inference(commutativity,[status(thm)],[])).
% 2.18/2.25 tff(7437,plain,
% 2.18/2.25 ((cell22 = X!1) <=> (X!1 = cell22)),
% 2.18/2.25 inference(symmetry,[status(thm)],[7436])).
% 2.18/2.25 tff(7438,plain,
% 2.18/2.25 ((cell2 = cell22) <=> (X!1 = cell22)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7439,plain,
% 2.18/2.25 ((cell2 = cell22) <=> (cell22 = X!1)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7438, 7436])).
% 2.18/2.25 tff(7440,plain,
% 2.18/2.25 ((cell2 = cell22) <=> (X!1 = cell22)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7439, 7437])).
% 2.18/2.25 tff(7441,plain,
% 2.18/2.25 ((~(cell2 = cell22)) <=> (~(X!1 = cell22))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7440])).
% 2.18/2.25 tff(7442,plain,
% 2.18/2.25 (~(X!1 = cell22)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[6838, 7441])).
% 2.18/2.25 tff(7443,plain,
% 2.18/2.25 (((~(X!1 = cell22)) | (~(cell99 = cell21))) | (X!1 = cell22)),
% 2.18/2.25 inference(tautology,[status(thm)],[])).
% 2.18/2.25 tff(7444,plain,
% 2.18/2.25 ((~(X!1 = cell22)) | (~(cell99 = cell21))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[7443, 7442])).
% 2.18/2.25 tff(7445,plain,
% 2.18/2.25 ((cell24 = cell2) <=> (cell24 = X!1)),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.25 tff(7446,plain,
% 2.18/2.25 ((cell24 = cell2) <=> (X!1 = cell24)),
% 2.18/2.25 inference(transitivity,[status(thm)],[7445, 6720])).
% 2.18/2.25 tff(7447,plain,
% 2.18/2.25 ((~(cell24 = cell2)) <=> (~(X!1 = cell24))),
% 2.18/2.25 inference(monotonicity,[status(thm)],[7446])).
% 2.18/2.25 tff(7448,plain,
% 2.18/2.25 ((~(cell24 = cell2)) <=> (~(cell24 = cell2))),
% 2.18/2.25 inference(rewrite,[status(thm)],[])).
% 2.18/2.25 tff(7449,axiom,(~(cell24 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49550')).
% 2.18/2.25 tff(7450,plain,
% 2.18/2.25 (~(cell24 = cell2)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7449, 7448])).
% 2.18/2.25 tff(7451,plain,
% 2.18/2.25 (~(X!1 = cell24)),
% 2.18/2.25 inference(modus_ponens,[status(thm)],[7450, 7447])).
% 2.18/2.25 tff(7452,plain,
% 2.18/2.25 ((~(X!1 = cell24)) | (~(cell99 = cell23))),
% 2.18/2.25 inference(unit_resolution,[status(thm)],[6892, 7451])).
% 2.18/2.26 tff(7453,plain,
% 2.18/2.26 ((cell25 = cell2) <=> (cell25 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7454,plain,
% 2.18/2.26 ((cell25 = cell2) <=> (X!1 = cell25)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7453, 6712])).
% 2.18/2.26 tff(7455,plain,
% 2.18/2.26 ((~(cell25 = cell2)) <=> (~(X!1 = cell25))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7454])).
% 2.18/2.26 tff(7456,plain,
% 2.18/2.26 ((~(cell25 = cell2)) <=> (~(cell25 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7457,axiom,(~(cell25 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49522')).
% 2.18/2.26 tff(7458,plain,
% 2.18/2.26 (~(cell25 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7457, 7456])).
% 2.18/2.26 tff(7459,plain,
% 2.18/2.26 (~(X!1 = cell25)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7458, 7455])).
% 2.18/2.26 tff(7460,plain,
% 2.18/2.26 ((~(X!1 = cell25)) | (~(cell99 = cell24))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6895, 7459])).
% 2.18/2.26 tff(7461,plain,
% 2.18/2.26 ((cell26 = cell2) <=> (cell26 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7462,plain,
% 2.18/2.26 ((cell26 = cell2) <=> (X!1 = cell26)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7461, 6704])).
% 2.18/2.26 tff(7463,plain,
% 2.18/2.26 ((~(cell26 = cell2)) <=> (~(X!1 = cell26))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7462])).
% 2.18/2.26 tff(7464,plain,
% 2.18/2.26 ((~(cell26 = cell2)) <=> (~(cell26 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7465,axiom,(~(cell26 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49493')).
% 2.18/2.26 tff(7466,plain,
% 2.18/2.26 (~(cell26 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7465, 7464])).
% 2.18/2.26 tff(7467,plain,
% 2.18/2.26 (~(X!1 = cell26)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7466, 7463])).
% 2.18/2.26 tff(7468,plain,
% 2.18/2.26 ((~(X!1 = cell26)) | (~(cell99 = cell25))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6898, 7467])).
% 2.18/2.26 tff(7469,plain,
% 2.18/2.26 ((cell27 = cell2) <=> (cell27 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7470,plain,
% 2.18/2.26 ((cell27 = cell2) <=> (X!1 = cell27)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7469, 6696])).
% 2.18/2.26 tff(7471,plain,
% 2.18/2.26 ((~(cell27 = cell2)) <=> (~(X!1 = cell27))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7470])).
% 2.18/2.26 tff(7472,plain,
% 2.18/2.26 ((~(cell27 = cell2)) <=> (~(cell27 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7473,axiom,(~(cell27 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49463')).
% 2.18/2.26 tff(7474,plain,
% 2.18/2.26 (~(cell27 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7473, 7472])).
% 2.18/2.26 tff(7475,plain,
% 2.18/2.26 (~(X!1 = cell27)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7474, 7471])).
% 2.18/2.26 tff(7476,plain,
% 2.18/2.26 ((~(X!1 = cell27)) | (~(cell99 = cell26))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6901, 7475])).
% 2.18/2.26 tff(7477,plain,
% 2.18/2.26 ((cell28 = cell2) <=> (cell28 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7478,plain,
% 2.18/2.26 ((cell28 = cell2) <=> (X!1 = cell28)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7477, 6688])).
% 2.18/2.26 tff(7479,plain,
% 2.18/2.26 ((~(cell28 = cell2)) <=> (~(X!1 = cell28))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7478])).
% 2.18/2.26 tff(7480,plain,
% 2.18/2.26 ((~(cell28 = cell2)) <=> (~(cell28 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7481,axiom,(~(cell28 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49432')).
% 2.18/2.26 tff(7482,plain,
% 2.18/2.26 (~(cell28 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 2.18/2.26 tff(7483,plain,
% 2.18/2.26 (~(X!1 = cell28)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7482, 7479])).
% 2.18/2.26 tff(7484,plain,
% 2.18/2.26 ((~(X!1 = cell28)) | (~(cell99 = cell27))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6904, 7483])).
% 2.18/2.26 tff(7485,plain,
% 2.18/2.26 ((cell29 = cell2) <=> (cell29 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7486,plain,
% 2.18/2.26 ((cell29 = cell2) <=> (X!1 = cell29)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7485, 6680])).
% 2.18/2.26 tff(7487,plain,
% 2.18/2.26 ((~(cell29 = cell2)) <=> (~(X!1 = cell29))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7486])).
% 2.18/2.26 tff(7488,plain,
% 2.18/2.26 ((~(cell29 = cell2)) <=> (~(cell29 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7489,axiom,(~(cell29 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49400')).
% 2.18/2.26 tff(7490,plain,
% 2.18/2.26 (~(cell29 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 2.18/2.26 tff(7491,plain,
% 2.18/2.26 (~(X!1 = cell29)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7490, 7487])).
% 2.18/2.26 tff(7492,plain,
% 2.18/2.26 ((~(X!1 = cell29)) | (~(cell99 = cell28))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6907, 7491])).
% 2.18/2.26 tff(7493,plain,
% 2.18/2.26 ((cell30 = cell2) <=> (cell30 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7494,plain,
% 2.18/2.26 ((cell30 = cell2) <=> (X!1 = cell30)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7493, 6672])).
% 2.18/2.26 tff(7495,plain,
% 2.18/2.26 ((~(cell30 = cell2)) <=> (~(X!1 = cell30))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7494])).
% 2.18/2.26 tff(7496,plain,
% 2.18/2.26 ((~(cell30 = cell2)) <=> (~(cell30 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7497,axiom,(~(cell30 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49367')).
% 2.18/2.26 tff(7498,plain,
% 2.18/2.26 (~(cell30 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 2.18/2.26 tff(7499,plain,
% 2.18/2.26 (~(X!1 = cell30)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7498, 7495])).
% 2.18/2.26 tff(7500,plain,
% 2.18/2.26 ((~(X!1 = cell30)) | (~(cell99 = cell29))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6910, 7499])).
% 2.18/2.26 tff(7501,plain,
% 2.18/2.26 ((cell32 = cell2) <=> (cell32 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7502,plain,
% 2.18/2.26 ((cell32 = cell2) <=> (X!1 = cell32)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7501, 6664])).
% 2.18/2.26 tff(7503,plain,
% 2.18/2.26 ((~(cell32 = cell2)) <=> (~(X!1 = cell32))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7502])).
% 2.18/2.26 tff(7504,plain,
% 2.18/2.26 ((~(cell32 = cell2)) <=> (~(cell32 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7505,axiom,(~(cell32 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49333')).
% 2.18/2.26 tff(7506,plain,
% 2.18/2.26 (~(cell32 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 2.18/2.26 tff(7507,plain,
% 2.18/2.26 (~(X!1 = cell32)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7506, 7503])).
% 2.18/2.26 tff(7508,plain,
% 2.18/2.26 ((~(X!1 = cell32)) | (~(cell99 = cell31))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6913, 7507])).
% 2.18/2.26 tff(7509,plain,
% 2.18/2.26 ((cell33 = cell2) <=> (cell33 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7510,plain,
% 2.18/2.26 ((cell33 = cell2) <=> (X!1 = cell33)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7509, 6656])).
% 2.18/2.26 tff(7511,plain,
% 2.18/2.26 ((~(cell33 = cell2)) <=> (~(X!1 = cell33))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7510])).
% 2.18/2.26 tff(7512,plain,
% 2.18/2.26 ((~(cell33 = cell2)) <=> (~(cell33 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7513,axiom,(~(cell33 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49262')).
% 2.18/2.26 tff(7514,plain,
% 2.18/2.26 (~(cell33 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7513, 7512])).
% 2.18/2.26 tff(7515,plain,
% 2.18/2.26 (~(X!1 = cell33)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7514, 7511])).
% 2.18/2.26 tff(7516,plain,
% 2.18/2.26 ((~(X!1 = cell33)) | (~(cell99 = cell32))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6916, 7515])).
% 2.18/2.26 tff(7517,plain,
% 2.18/2.26 ((cell34 = cell2) <=> (cell34 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7518,plain,
% 2.18/2.26 ((cell34 = cell2) <=> (X!1 = cell34)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7517, 6648])).
% 2.18/2.26 tff(7519,plain,
% 2.18/2.26 ((~(cell34 = cell2)) <=> (~(X!1 = cell34))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7518])).
% 2.18/2.26 tff(7520,plain,
% 2.18/2.26 ((~(cell34 = cell2)) <=> (~(cell34 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7521,axiom,(~(cell34 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49225')).
% 2.18/2.26 tff(7522,plain,
% 2.18/2.26 (~(cell34 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7521, 7520])).
% 2.18/2.26 tff(7523,plain,
% 2.18/2.26 (~(X!1 = cell34)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7522, 7519])).
% 2.18/2.26 tff(7524,plain,
% 2.18/2.26 ((~(X!1 = cell34)) | (~(cell99 = cell33))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6919, 7523])).
% 2.18/2.26 tff(7525,plain,
% 2.18/2.26 ((cell35 = cell2) <=> (cell35 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7526,plain,
% 2.18/2.26 ((cell35 = cell2) <=> (X!1 = cell35)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7525, 6640])).
% 2.18/2.26 tff(7527,plain,
% 2.18/2.26 ((~(cell35 = cell2)) <=> (~(X!1 = cell35))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7526])).
% 2.18/2.26 tff(7528,plain,
% 2.18/2.26 ((~(cell35 = cell2)) <=> (~(cell35 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7529,axiom,(~(cell35 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49187')).
% 2.18/2.26 tff(7530,plain,
% 2.18/2.26 (~(cell35 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 2.18/2.26 tff(7531,plain,
% 2.18/2.26 (~(X!1 = cell35)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7530, 7527])).
% 2.18/2.26 tff(7532,plain,
% 2.18/2.26 ((~(X!1 = cell35)) | (~(cell99 = cell34))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6922, 7531])).
% 2.18/2.26 tff(7533,plain,
% 2.18/2.26 ((cell36 = cell2) <=> (cell36 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7534,plain,
% 2.18/2.26 ((cell36 = cell2) <=> (X!1 = cell36)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7533, 6632])).
% 2.18/2.26 tff(7535,plain,
% 2.18/2.26 ((~(cell36 = cell2)) <=> (~(X!1 = cell36))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7534])).
% 2.18/2.26 tff(7536,plain,
% 2.18/2.26 ((~(cell36 = cell2)) <=> (~(cell36 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7537,axiom,(~(cell36 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49148')).
% 2.18/2.26 tff(7538,plain,
% 2.18/2.26 (~(cell36 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 2.18/2.26 tff(7539,plain,
% 2.18/2.26 (~(X!1 = cell36)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7538, 7535])).
% 2.18/2.26 tff(7540,plain,
% 2.18/2.26 ((~(X!1 = cell36)) | (~(cell99 = cell35))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6925, 7539])).
% 2.18/2.26 tff(7541,plain,
% 2.18/2.26 ((cell37 = cell2) <=> (cell37 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7542,plain,
% 2.18/2.26 ((cell37 = cell2) <=> (X!1 = cell37)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7541, 6624])).
% 2.18/2.26 tff(7543,plain,
% 2.18/2.26 ((~(cell37 = cell2)) <=> (~(X!1 = cell37))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7542])).
% 2.18/2.26 tff(7544,plain,
% 2.18/2.26 ((~(cell37 = cell2)) <=> (~(cell37 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7545,axiom,(~(cell37 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49108')).
% 2.18/2.26 tff(7546,plain,
% 2.18/2.26 (~(cell37 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 2.18/2.26 tff(7547,plain,
% 2.18/2.26 (~(X!1 = cell37)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7546, 7543])).
% 2.18/2.26 tff(7548,plain,
% 2.18/2.26 ((~(X!1 = cell37)) | (~(cell99 = cell36))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6928, 7547])).
% 2.18/2.26 tff(7549,plain,
% 2.18/2.26 ((cell38 = cell2) <=> (cell38 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7550,plain,
% 2.18/2.26 ((cell38 = cell2) <=> (X!1 = cell38)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7549, 6616])).
% 2.18/2.26 tff(7551,plain,
% 2.18/2.26 ((~(cell38 = cell2)) <=> (~(X!1 = cell38))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7550])).
% 2.18/2.26 tff(7552,plain,
% 2.18/2.26 ((~(cell38 = cell2)) <=> (~(cell38 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7553,axiom,(~(cell38 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49067')).
% 2.18/2.26 tff(7554,plain,
% 2.18/2.26 (~(cell38 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 2.18/2.26 tff(7555,plain,
% 2.18/2.26 (~(X!1 = cell38)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7554, 7551])).
% 2.18/2.26 tff(7556,plain,
% 2.18/2.26 ((~(X!1 = cell38)) | (~(cell99 = cell37))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6931, 7555])).
% 2.18/2.26 tff(7557,plain,
% 2.18/2.26 ((cell39 = cell2) <=> (cell39 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7558,plain,
% 2.18/2.26 ((cell39 = cell2) <=> (X!1 = cell39)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7557, 6608])).
% 2.18/2.26 tff(7559,plain,
% 2.18/2.26 ((~(cell39 = cell2)) <=> (~(X!1 = cell39))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7558])).
% 2.18/2.26 tff(7560,plain,
% 2.18/2.26 ((~(cell39 = cell2)) <=> (~(cell39 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7561,axiom,(~(cell39 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49025')).
% 2.18/2.26 tff(7562,plain,
% 2.18/2.26 (~(cell39 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7561, 7560])).
% 2.18/2.26 tff(7563,plain,
% 2.18/2.26 (~(X!1 = cell39)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7562, 7559])).
% 2.18/2.26 tff(7564,plain,
% 2.18/2.26 ((~(X!1 = cell39)) | (~(cell99 = cell38))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6934, 7563])).
% 2.18/2.26 tff(7565,plain,
% 2.18/2.26 ((cell40 = cell2) <=> (cell40 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7566,plain,
% 2.18/2.26 ((cell40 = cell2) <=> (X!1 = cell40)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7565, 6600])).
% 2.18/2.26 tff(7567,plain,
% 2.18/2.26 ((~(cell40 = cell2)) <=> (~(X!1 = cell40))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7566])).
% 2.18/2.26 tff(7568,plain,
% 2.18/2.26 ((~(cell40 = cell2)) <=> (~(cell40 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7569,axiom,(~(cell40 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48982')).
% 2.18/2.26 tff(7570,plain,
% 2.18/2.26 (~(cell40 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7569, 7568])).
% 2.18/2.26 tff(7571,plain,
% 2.18/2.26 (~(X!1 = cell40)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7570, 7567])).
% 2.18/2.26 tff(7572,plain,
% 2.18/2.26 ((~(X!1 = cell40)) | (~(cell99 = cell39))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6937, 7571])).
% 2.18/2.26 tff(7573,plain,
% 2.18/2.26 ((cell42 = cell2) <=> (cell42 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7574,plain,
% 2.18/2.26 ((cell42 = cell2) <=> (X!1 = cell42)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7573, 6592])).
% 2.18/2.26 tff(7575,plain,
% 2.18/2.26 ((~(cell42 = cell2)) <=> (~(X!1 = cell42))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7574])).
% 2.18/2.26 tff(7576,plain,
% 2.18/2.26 ((~(cell42 = cell2)) <=> (~(cell42 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7577,axiom,(~(cell42 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48938')).
% 2.18/2.26 tff(7578,plain,
% 2.18/2.26 (~(cell42 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 2.18/2.26 tff(7579,plain,
% 2.18/2.26 (~(X!1 = cell42)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7578, 7575])).
% 2.18/2.26 tff(7580,plain,
% 2.18/2.26 ((~(X!1 = cell42)) | (~(cell99 = cell41))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6940, 7579])).
% 2.18/2.26 tff(7581,plain,
% 2.18/2.26 ((cell43 = cell2) <=> (cell43 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7582,plain,
% 2.18/2.26 ((cell43 = cell2) <=> (X!1 = cell43)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7581, 6584])).
% 2.18/2.26 tff(7583,plain,
% 2.18/2.26 ((~(cell43 = cell2)) <=> (~(X!1 = cell43))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7582])).
% 2.18/2.26 tff(7584,plain,
% 2.18/2.26 ((~(cell43 = cell2)) <=> (~(cell43 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7585,axiom,(~(cell43 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48847')).
% 2.18/2.26 tff(7586,plain,
% 2.18/2.26 (~(cell43 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 2.18/2.26 tff(7587,plain,
% 2.18/2.26 (~(X!1 = cell43)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7586, 7583])).
% 2.18/2.26 tff(7588,plain,
% 2.18/2.26 ((~(X!1 = cell43)) | (~(cell99 = cell42))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6943, 7587])).
% 2.18/2.26 tff(7589,plain,
% 2.18/2.26 ((cell44 = cell2) <=> (cell44 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7590,plain,
% 2.18/2.26 ((cell44 = cell2) <=> (X!1 = cell44)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7589, 6576])).
% 2.18/2.26 tff(7591,plain,
% 2.18/2.26 ((~(cell44 = cell2)) <=> (~(X!1 = cell44))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7590])).
% 2.18/2.26 tff(7592,plain,
% 2.18/2.26 ((~(cell44 = cell2)) <=> (~(cell44 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7593,axiom,(~(cell44 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48800')).
% 2.18/2.26 tff(7594,plain,
% 2.18/2.26 (~(cell44 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7593, 7592])).
% 2.18/2.26 tff(7595,plain,
% 2.18/2.26 (~(X!1 = cell44)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7594, 7591])).
% 2.18/2.26 tff(7596,plain,
% 2.18/2.26 ((~(X!1 = cell44)) | (~(cell99 = cell43))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6946, 7595])).
% 2.18/2.26 tff(7597,plain,
% 2.18/2.26 ((cell45 = cell2) <=> (cell45 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7598,plain,
% 2.18/2.26 ((cell45 = cell2) <=> (X!1 = cell45)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7597, 6568])).
% 2.18/2.26 tff(7599,plain,
% 2.18/2.26 ((~(cell45 = cell2)) <=> (~(X!1 = cell45))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7598])).
% 2.18/2.26 tff(7600,plain,
% 2.18/2.26 ((~(cell45 = cell2)) <=> (~(cell45 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7601,axiom,(~(cell45 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48752')).
% 2.18/2.26 tff(7602,plain,
% 2.18/2.26 (~(cell45 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7601, 7600])).
% 2.18/2.26 tff(7603,plain,
% 2.18/2.26 (~(X!1 = cell45)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7602, 7599])).
% 2.18/2.26 tff(7604,plain,
% 2.18/2.26 ((~(X!1 = cell45)) | (~(cell99 = cell44))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6949, 7603])).
% 2.18/2.26 tff(7605,plain,
% 2.18/2.26 ((cell46 = cell2) <=> (cell46 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7606,plain,
% 2.18/2.26 ((cell46 = cell2) <=> (X!1 = cell46)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7605, 6560])).
% 2.18/2.26 tff(7607,plain,
% 2.18/2.26 ((~(cell46 = cell2)) <=> (~(X!1 = cell46))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7606])).
% 2.18/2.26 tff(7608,plain,
% 2.18/2.26 ((~(cell46 = cell2)) <=> (~(cell46 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7609,axiom,(~(cell46 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48703')).
% 2.18/2.26 tff(7610,plain,
% 2.18/2.26 (~(cell46 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7609, 7608])).
% 2.18/2.26 tff(7611,plain,
% 2.18/2.26 (~(X!1 = cell46)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7610, 7607])).
% 2.18/2.26 tff(7612,plain,
% 2.18/2.26 ((~(X!1 = cell46)) | (~(cell99 = cell45))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6952, 7611])).
% 2.18/2.26 tff(7613,plain,
% 2.18/2.26 ((cell47 = cell2) <=> (cell47 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7614,plain,
% 2.18/2.26 ((cell47 = cell2) <=> (X!1 = cell47)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7613, 6552])).
% 2.18/2.26 tff(7615,plain,
% 2.18/2.26 ((~(cell47 = cell2)) <=> (~(X!1 = cell47))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7614])).
% 2.18/2.26 tff(7616,plain,
% 2.18/2.26 ((~(cell47 = cell2)) <=> (~(cell47 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7617,axiom,(~(cell47 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48653')).
% 2.18/2.26 tff(7618,plain,
% 2.18/2.26 (~(cell47 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7617, 7616])).
% 2.18/2.26 tff(7619,plain,
% 2.18/2.26 (~(X!1 = cell47)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7618, 7615])).
% 2.18/2.26 tff(7620,plain,
% 2.18/2.26 ((~(X!1 = cell47)) | (~(cell99 = cell46))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6955, 7619])).
% 2.18/2.26 tff(7621,plain,
% 2.18/2.26 ((cell48 = cell2) <=> (cell48 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7622,plain,
% 2.18/2.26 ((cell48 = cell2) <=> (X!1 = cell48)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7621, 6544])).
% 2.18/2.26 tff(7623,plain,
% 2.18/2.26 ((~(cell48 = cell2)) <=> (~(X!1 = cell48))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7622])).
% 2.18/2.26 tff(7624,plain,
% 2.18/2.26 ((~(cell48 = cell2)) <=> (~(cell48 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7625,axiom,(~(cell48 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48602')).
% 2.18/2.26 tff(7626,plain,
% 2.18/2.26 (~(cell48 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 2.18/2.26 tff(7627,plain,
% 2.18/2.26 (~(X!1 = cell48)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7626, 7623])).
% 2.18/2.26 tff(7628,plain,
% 2.18/2.26 ((~(X!1 = cell48)) | (~(cell99 = cell47))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6958, 7627])).
% 2.18/2.26 tff(7629,plain,
% 2.18/2.26 ((cell49 = cell2) <=> (cell49 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7630,plain,
% 2.18/2.26 ((cell49 = cell2) <=> (X!1 = cell49)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7629, 6536])).
% 2.18/2.26 tff(7631,plain,
% 2.18/2.26 ((~(cell49 = cell2)) <=> (~(X!1 = cell49))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7630])).
% 2.18/2.26 tff(7632,plain,
% 2.18/2.26 ((~(cell49 = cell2)) <=> (~(cell49 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7633,axiom,(~(cell49 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48550')).
% 2.18/2.26 tff(7634,plain,
% 2.18/2.26 (~(cell49 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7633, 7632])).
% 2.18/2.26 tff(7635,plain,
% 2.18/2.26 (~(X!1 = cell49)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7634, 7631])).
% 2.18/2.26 tff(7636,plain,
% 2.18/2.26 ((~(X!1 = cell49)) | (~(cell99 = cell48))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6961, 7635])).
% 2.18/2.26 tff(7637,plain,
% 2.18/2.26 ((cell50 = cell2) <=> (cell50 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7638,plain,
% 2.18/2.26 ((cell50 = cell2) <=> (X!1 = cell50)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7637, 6528])).
% 2.18/2.26 tff(7639,plain,
% 2.18/2.26 ((~(cell50 = cell2)) <=> (~(X!1 = cell50))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7638])).
% 2.18/2.26 tff(7640,plain,
% 2.18/2.26 ((~(cell50 = cell2)) <=> (~(cell50 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7641,axiom,(~(cell50 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48497')).
% 2.18/2.26 tff(7642,plain,
% 2.18/2.26 (~(cell50 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7641, 7640])).
% 2.18/2.26 tff(7643,plain,
% 2.18/2.26 (~(X!1 = cell50)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7642, 7639])).
% 2.18/2.26 tff(7644,plain,
% 2.18/2.26 ((~(X!1 = cell50)) | (~(cell99 = cell49))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6964, 7643])).
% 2.18/2.26 tff(7645,plain,
% 2.18/2.26 ((cell52 = cell2) <=> (cell52 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7646,plain,
% 2.18/2.26 ((cell52 = cell2) <=> (X!1 = cell52)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7645, 6520])).
% 2.18/2.26 tff(7647,plain,
% 2.18/2.26 ((~(cell52 = cell2)) <=> (~(X!1 = cell52))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7646])).
% 2.18/2.26 tff(7648,plain,
% 2.18/2.26 ((~(cell52 = cell2)) <=> (~(cell52 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7649,axiom,(~(cell52 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48443')).
% 2.18/2.26 tff(7650,plain,
% 2.18/2.26 (~(cell52 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 2.18/2.26 tff(7651,plain,
% 2.18/2.26 (~(X!1 = cell52)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7650, 7647])).
% 2.18/2.26 tff(7652,plain,
% 2.18/2.26 ((~(X!1 = cell52)) | (~(cell99 = cell51))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6967, 7651])).
% 2.18/2.26 tff(7653,plain,
% 2.18/2.26 ((cell53 = cell2) <=> (cell53 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7654,plain,
% 2.18/2.26 ((cell53 = cell2) <=> (X!1 = cell53)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7653, 6512])).
% 2.18/2.26 tff(7655,plain,
% 2.18/2.26 ((~(cell53 = cell2)) <=> (~(X!1 = cell53))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7654])).
% 2.18/2.26 tff(7656,plain,
% 2.18/2.26 ((~(cell53 = cell2)) <=> (~(cell53 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7657,axiom,(~(cell53 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48332')).
% 2.18/2.26 tff(7658,plain,
% 2.18/2.26 (~(cell53 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7657, 7656])).
% 2.18/2.26 tff(7659,plain,
% 2.18/2.26 (~(X!1 = cell53)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7658, 7655])).
% 2.18/2.26 tff(7660,plain,
% 2.18/2.26 ((~(X!1 = cell53)) | (~(cell99 = cell52))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6970, 7659])).
% 2.18/2.26 tff(7661,plain,
% 2.18/2.26 ((cell54 = cell2) <=> (cell54 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7662,plain,
% 2.18/2.26 ((cell54 = cell2) <=> (X!1 = cell54)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7661, 6504])).
% 2.18/2.26 tff(7663,plain,
% 2.18/2.26 ((~(cell54 = cell2)) <=> (~(X!1 = cell54))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7662])).
% 2.18/2.26 tff(7664,plain,
% 2.18/2.26 ((~(cell54 = cell2)) <=> (~(cell54 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7665,axiom,(~(cell54 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48275')).
% 2.18/2.26 tff(7666,plain,
% 2.18/2.26 (~(cell54 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7665, 7664])).
% 2.18/2.26 tff(7667,plain,
% 2.18/2.26 (~(X!1 = cell54)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7666, 7663])).
% 2.18/2.26 tff(7668,plain,
% 2.18/2.26 ((~(X!1 = cell54)) | (~(cell99 = cell53))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6973, 7667])).
% 2.18/2.26 tff(7669,plain,
% 2.18/2.26 ((cell55 = cell2) <=> (cell55 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7670,plain,
% 2.18/2.26 ((cell55 = cell2) <=> (X!1 = cell55)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7669, 6496])).
% 2.18/2.26 tff(7671,plain,
% 2.18/2.26 ((~(cell55 = cell2)) <=> (~(X!1 = cell55))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7670])).
% 2.18/2.26 tff(7672,plain,
% 2.18/2.26 ((~(cell55 = cell2)) <=> (~(cell55 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7673,axiom,(~(cell55 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48217')).
% 2.18/2.26 tff(7674,plain,
% 2.18/2.26 (~(cell55 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 2.18/2.26 tff(7675,plain,
% 2.18/2.26 (~(X!1 = cell55)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7674, 7671])).
% 2.18/2.26 tff(7676,plain,
% 2.18/2.26 ((~(X!1 = cell55)) | (~(cell99 = cell54))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6976, 7675])).
% 2.18/2.26 tff(7677,plain,
% 2.18/2.26 ((cell56 = cell2) <=> (cell56 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7678,plain,
% 2.18/2.26 ((cell56 = cell2) <=> (X!1 = cell56)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7677, 6488])).
% 2.18/2.26 tff(7679,plain,
% 2.18/2.26 ((~(cell56 = cell2)) <=> (~(X!1 = cell56))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7678])).
% 2.18/2.26 tff(7680,plain,
% 2.18/2.26 ((~(cell56 = cell2)) <=> (~(cell56 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7681,axiom,(~(cell56 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48158')).
% 2.18/2.26 tff(7682,plain,
% 2.18/2.26 (~(cell56 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 2.18/2.26 tff(7683,plain,
% 2.18/2.26 (~(X!1 = cell56)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7682, 7679])).
% 2.18/2.26 tff(7684,plain,
% 2.18/2.26 ((~(X!1 = cell56)) | (~(cell99 = cell55))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6979, 7683])).
% 2.18/2.26 tff(7685,plain,
% 2.18/2.26 ((cell57 = cell2) <=> (cell57 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7686,plain,
% 2.18/2.26 ((cell57 = cell2) <=> (X!1 = cell57)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7685, 6480])).
% 2.18/2.26 tff(7687,plain,
% 2.18/2.26 ((~(cell57 = cell2)) <=> (~(X!1 = cell57))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7686])).
% 2.18/2.26 tff(7688,plain,
% 2.18/2.26 ((~(cell57 = cell2)) <=> (~(cell57 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7689,axiom,(~(cell57 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48098')).
% 2.18/2.26 tff(7690,plain,
% 2.18/2.26 (~(cell57 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7689, 7688])).
% 2.18/2.26 tff(7691,plain,
% 2.18/2.26 (~(X!1 = cell57)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7690, 7687])).
% 2.18/2.26 tff(7692,plain,
% 2.18/2.26 ((~(X!1 = cell57)) | (~(cell99 = cell56))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6982, 7691])).
% 2.18/2.26 tff(7693,plain,
% 2.18/2.26 ((cell58 = cell2) <=> (cell58 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7694,plain,
% 2.18/2.26 ((cell58 = cell2) <=> (X!1 = cell58)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7693, 6472])).
% 2.18/2.26 tff(7695,plain,
% 2.18/2.26 ((~(cell58 = cell2)) <=> (~(X!1 = cell58))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7694])).
% 2.18/2.26 tff(7696,plain,
% 2.18/2.26 ((~(cell58 = cell2)) <=> (~(cell58 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7697,axiom,(~(cell58 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48037')).
% 2.18/2.26 tff(7698,plain,
% 2.18/2.26 (~(cell58 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7697, 7696])).
% 2.18/2.26 tff(7699,plain,
% 2.18/2.26 (~(X!1 = cell58)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7698, 7695])).
% 2.18/2.26 tff(7700,plain,
% 2.18/2.26 ((~(X!1 = cell58)) | (~(cell99 = cell57))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6985, 7699])).
% 2.18/2.26 tff(7701,plain,
% 2.18/2.26 ((cell59 = cell2) <=> (cell59 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7702,plain,
% 2.18/2.26 ((cell59 = cell2) <=> (X!1 = cell59)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7701, 6464])).
% 2.18/2.26 tff(7703,plain,
% 2.18/2.26 ((~(cell59 = cell2)) <=> (~(X!1 = cell59))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7702])).
% 2.18/2.26 tff(7704,plain,
% 2.18/2.26 ((~(cell59 = cell2)) <=> (~(cell59 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7705,axiom,(~(cell59 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47975')).
% 2.18/2.26 tff(7706,plain,
% 2.18/2.26 (~(cell59 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 2.18/2.26 tff(7707,plain,
% 2.18/2.26 (~(X!1 = cell59)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7706, 7703])).
% 2.18/2.26 tff(7708,plain,
% 2.18/2.26 ((~(X!1 = cell59)) | (~(cell99 = cell58))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6988, 7707])).
% 2.18/2.26 tff(7709,plain,
% 2.18/2.26 ((cell60 = cell2) <=> (cell60 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7710,plain,
% 2.18/2.26 ((cell60 = cell2) <=> (X!1 = cell60)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7709, 6456])).
% 2.18/2.26 tff(7711,plain,
% 2.18/2.26 ((~(cell60 = cell2)) <=> (~(X!1 = cell60))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7710])).
% 2.18/2.26 tff(7712,plain,
% 2.18/2.26 ((~(cell60 = cell2)) <=> (~(cell60 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7713,axiom,(~(cell60 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47912')).
% 2.18/2.26 tff(7714,plain,
% 2.18/2.26 (~(cell60 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7713, 7712])).
% 2.18/2.26 tff(7715,plain,
% 2.18/2.26 (~(X!1 = cell60)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7714, 7711])).
% 2.18/2.26 tff(7716,plain,
% 2.18/2.26 ((~(X!1 = cell60)) | (~(cell99 = cell59))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6991, 7715])).
% 2.18/2.26 tff(7717,plain,
% 2.18/2.26 ((cell62 = cell2) <=> (cell62 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7718,plain,
% 2.18/2.26 ((cell62 = cell2) <=> (X!1 = cell62)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7717, 6448])).
% 2.18/2.26 tff(7719,plain,
% 2.18/2.26 ((~(cell62 = cell2)) <=> (~(X!1 = cell62))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7718])).
% 2.18/2.26 tff(7720,plain,
% 2.18/2.26 ((~(cell62 = cell2)) <=> (~(cell62 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7721,axiom,(~(cell62 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47848')).
% 2.18/2.26 tff(7722,plain,
% 2.18/2.26 (~(cell62 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 2.18/2.26 tff(7723,plain,
% 2.18/2.26 (~(X!1 = cell62)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7722, 7719])).
% 2.18/2.26 tff(7724,plain,
% 2.18/2.26 ((~(X!1 = cell62)) | (~(cell99 = cell61))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6994, 7723])).
% 2.18/2.26 tff(7725,plain,
% 2.18/2.26 ((cell63 = cell2) <=> (cell63 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7726,plain,
% 2.18/2.26 ((cell63 = cell2) <=> (X!1 = cell63)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7725, 6440])).
% 2.18/2.26 tff(7727,plain,
% 2.18/2.26 ((~(cell63 = cell2)) <=> (~(X!1 = cell63))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7726])).
% 2.18/2.26 tff(7728,plain,
% 2.18/2.26 ((~(cell63 = cell2)) <=> (~(cell63 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7729,axiom,(~(cell63 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47717')).
% 2.18/2.26 tff(7730,plain,
% 2.18/2.26 (~(cell63 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7729, 7728])).
% 2.18/2.26 tff(7731,plain,
% 2.18/2.26 (~(X!1 = cell63)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7730, 7727])).
% 2.18/2.26 tff(7732,plain,
% 2.18/2.26 ((~(X!1 = cell63)) | (~(cell99 = cell62))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[6997, 7731])).
% 2.18/2.26 tff(7733,plain,
% 2.18/2.26 ((cell64 = cell2) <=> (cell64 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7734,plain,
% 2.18/2.26 ((cell64 = cell2) <=> (X!1 = cell64)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7733, 6432])).
% 2.18/2.26 tff(7735,plain,
% 2.18/2.26 ((~(cell64 = cell2)) <=> (~(X!1 = cell64))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7734])).
% 2.18/2.26 tff(7736,plain,
% 2.18/2.26 ((~(cell64 = cell2)) <=> (~(cell64 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7737,axiom,(~(cell64 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47650')).
% 2.18/2.26 tff(7738,plain,
% 2.18/2.26 (~(cell64 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7737, 7736])).
% 2.18/2.26 tff(7739,plain,
% 2.18/2.26 (~(X!1 = cell64)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7738, 7735])).
% 2.18/2.26 tff(7740,plain,
% 2.18/2.26 ((~(X!1 = cell64)) | (~(cell99 = cell63))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[7000, 7739])).
% 2.18/2.26 tff(7741,plain,
% 2.18/2.26 ((cell65 = cell2) <=> (cell65 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7742,plain,
% 2.18/2.26 ((cell65 = cell2) <=> (X!1 = cell65)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7741, 6424])).
% 2.18/2.26 tff(7743,plain,
% 2.18/2.26 ((~(cell65 = cell2)) <=> (~(X!1 = cell65))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7742])).
% 2.18/2.26 tff(7744,plain,
% 2.18/2.26 ((~(cell65 = cell2)) <=> (~(cell65 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7745,axiom,(~(cell65 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47582')).
% 2.18/2.26 tff(7746,plain,
% 2.18/2.26 (~(cell65 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 2.18/2.26 tff(7747,plain,
% 2.18/2.26 (~(X!1 = cell65)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7746, 7743])).
% 2.18/2.26 tff(7748,plain,
% 2.18/2.26 ((~(X!1 = cell65)) | (~(cell99 = cell64))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[7003, 7747])).
% 2.18/2.26 tff(7749,plain,
% 2.18/2.26 ((cell66 = cell2) <=> (cell66 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7750,plain,
% 2.18/2.26 ((cell66 = cell2) <=> (X!1 = cell66)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7749, 6416])).
% 2.18/2.26 tff(7751,plain,
% 2.18/2.26 ((~(cell66 = cell2)) <=> (~(X!1 = cell66))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7750])).
% 2.18/2.26 tff(7752,plain,
% 2.18/2.26 ((~(cell66 = cell2)) <=> (~(cell66 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7753,axiom,(~(cell66 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47513')).
% 2.18/2.26 tff(7754,plain,
% 2.18/2.26 (~(cell66 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 2.18/2.26 tff(7755,plain,
% 2.18/2.26 (~(X!1 = cell66)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7754, 7751])).
% 2.18/2.26 tff(7756,plain,
% 2.18/2.26 ((~(X!1 = cell66)) | (~(cell99 = cell65))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[7006, 7755])).
% 2.18/2.26 tff(7757,plain,
% 2.18/2.26 ((cell67 = cell2) <=> (cell67 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7758,plain,
% 2.18/2.26 ((cell67 = cell2) <=> (X!1 = cell67)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7757, 6408])).
% 2.18/2.26 tff(7759,plain,
% 2.18/2.26 ((~(cell67 = cell2)) <=> (~(X!1 = cell67))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7758])).
% 2.18/2.26 tff(7760,plain,
% 2.18/2.26 ((~(cell67 = cell2)) <=> (~(cell67 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7761,axiom,(~(cell67 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47443')).
% 2.18/2.26 tff(7762,plain,
% 2.18/2.26 (~(cell67 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 2.18/2.26 tff(7763,plain,
% 2.18/2.26 (~(X!1 = cell67)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7762, 7759])).
% 2.18/2.26 tff(7764,plain,
% 2.18/2.26 ((~(X!1 = cell67)) | (~(cell99 = cell66))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[7009, 7763])).
% 2.18/2.26 tff(7765,plain,
% 2.18/2.26 ((cell68 = cell2) <=> (cell68 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7766,plain,
% 2.18/2.26 ((cell68 = cell2) <=> (X!1 = cell68)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7765, 6400])).
% 2.18/2.26 tff(7767,plain,
% 2.18/2.26 ((~(cell68 = cell2)) <=> (~(X!1 = cell68))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7766])).
% 2.18/2.26 tff(7768,plain,
% 2.18/2.26 ((~(cell68 = cell2)) <=> (~(cell68 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7769,axiom,(~(cell68 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47372')).
% 2.18/2.26 tff(7770,plain,
% 2.18/2.26 (~(cell68 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7769, 7768])).
% 2.18/2.26 tff(7771,plain,
% 2.18/2.26 (~(X!1 = cell68)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7770, 7767])).
% 2.18/2.26 tff(7772,plain,
% 2.18/2.26 ((~(X!1 = cell68)) | (~(cell99 = cell67))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[7012, 7771])).
% 2.18/2.26 tff(7773,plain,
% 2.18/2.26 ((cell69 = cell2) <=> (cell69 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7774,plain,
% 2.18/2.26 ((cell69 = cell2) <=> (X!1 = cell69)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7773, 52])).
% 2.18/2.26 tff(7775,plain,
% 2.18/2.26 ((~(cell69 = cell2)) <=> (~(X!1 = cell69))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7774])).
% 2.18/2.26 tff(7776,plain,
% 2.18/2.26 (~(X!1 = cell69)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[5663, 7775])).
% 2.18/2.26 tff(7777,plain,
% 2.18/2.26 ((~(X!1 = cell69)) | (~(cell99 = cell68))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[7014, 7776])).
% 2.18/2.26 tff(7778,plain,
% 2.18/2.26 ((cell70 = cell2) <=> (cell70 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7779,plain,
% 2.18/2.26 ((cell70 = cell2) <=> (X!1 = cell70)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7778, 6388])).
% 2.18/2.26 tff(7780,plain,
% 2.18/2.26 ((~(cell70 = cell2)) <=> (~(X!1 = cell70))),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7779])).
% 2.18/2.26 tff(7781,plain,
% 2.18/2.26 ((~(cell70 = cell2)) <=> (~(cell70 = cell2))),
% 2.18/2.26 inference(rewrite,[status(thm)],[])).
% 2.18/2.26 tff(7782,axiom,(~(cell70 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47227')).
% 2.18/2.26 tff(7783,plain,
% 2.18/2.26 (~(cell70 = cell2)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7782, 7781])).
% 2.18/2.26 tff(7784,plain,
% 2.18/2.26 (~(X!1 = cell70)),
% 2.18/2.26 inference(modus_ponens,[status(thm)],[7783, 7780])).
% 2.18/2.26 tff(7785,plain,
% 2.18/2.26 ((~(X!1 = cell70)) | (~(cell99 = cell69))),
% 2.18/2.26 inference(unit_resolution,[status(thm)],[7017, 7784])).
% 2.18/2.26 tff(7786,plain,
% 2.18/2.26 ((cell72 = cell2) <=> (cell72 = X!1)),
% 2.18/2.26 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.26 tff(7787,plain,
% 2.18/2.26 ((cell72 = cell2) <=> (X!1 = cell72)),
% 2.18/2.26 inference(transitivity,[status(thm)],[7786, 6380])).
% 2.18/2.27 tff(7788,plain,
% 2.18/2.27 ((~(cell72 = cell2)) <=> (~(X!1 = cell72))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7787])).
% 2.18/2.27 tff(7789,plain,
% 2.18/2.27 ((~(cell72 = cell2)) <=> (~(cell72 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7790,axiom,(~(cell72 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47153')).
% 2.18/2.27 tff(7791,plain,
% 2.18/2.27 (~(cell72 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 2.18/2.27 tff(7792,plain,
% 2.18/2.27 (~(X!1 = cell72)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7791, 7788])).
% 2.18/2.27 tff(7793,plain,
% 2.18/2.27 ((~(X!1 = cell72)) | (~(cell99 = cell71))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7020, 7792])).
% 2.18/2.27 tff(7794,plain,
% 2.18/2.27 ((cell73 = cell2) <=> (cell73 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7795,plain,
% 2.18/2.27 ((cell73 = cell2) <=> (X!1 = cell73)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7794, 6372])).
% 2.18/2.27 tff(7796,plain,
% 2.18/2.27 ((~(cell73 = cell2)) <=> (~(X!1 = cell73))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7795])).
% 2.18/2.27 tff(7797,plain,
% 2.18/2.27 ((~(cell73 = cell2)) <=> (~(cell73 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7798,axiom,(~(cell73 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47002')).
% 2.18/2.27 tff(7799,plain,
% 2.18/2.27 (~(cell73 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7798, 7797])).
% 2.18/2.27 tff(7800,plain,
% 2.18/2.27 (~(X!1 = cell73)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7799, 7796])).
% 2.18/2.27 tff(7801,plain,
% 2.18/2.27 ((~(X!1 = cell73)) | (~(cell99 = cell72))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7023, 7800])).
% 2.18/2.27 tff(7802,plain,
% 2.18/2.27 ((cell74 = cell2) <=> (cell74 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7803,plain,
% 2.18/2.27 ((cell74 = cell2) <=> (X!1 = cell74)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7802, 6364])).
% 2.18/2.27 tff(7804,plain,
% 2.18/2.27 ((~(cell74 = cell2)) <=> (~(X!1 = cell74))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7803])).
% 2.18/2.27 tff(7805,plain,
% 2.18/2.27 ((~(cell74 = cell2)) <=> (~(cell74 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7806,axiom,(~(cell74 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46925')).
% 2.18/2.27 tff(7807,plain,
% 2.18/2.27 (~(cell74 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7806, 7805])).
% 2.18/2.27 tff(7808,plain,
% 2.18/2.27 (~(X!1 = cell74)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7807, 7804])).
% 2.18/2.27 tff(7809,plain,
% 2.18/2.27 ((~(X!1 = cell74)) | (~(cell99 = cell73))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7026, 7808])).
% 2.18/2.27 tff(7810,plain,
% 2.18/2.27 ((cell75 = cell2) <=> (cell75 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7811,plain,
% 2.18/2.27 ((cell75 = cell2) <=> (X!1 = cell75)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7810, 6356])).
% 2.18/2.27 tff(7812,plain,
% 2.18/2.27 ((~(cell75 = cell2)) <=> (~(X!1 = cell75))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7811])).
% 2.18/2.27 tff(7813,plain,
% 2.18/2.27 ((~(cell75 = cell2)) <=> (~(cell75 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7814,axiom,(~(cell75 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46847')).
% 2.18/2.27 tff(7815,plain,
% 2.18/2.27 (~(cell75 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 2.18/2.27 tff(7816,plain,
% 2.18/2.27 (~(X!1 = cell75)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7815, 7812])).
% 2.18/2.27 tff(7817,plain,
% 2.18/2.27 ((~(X!1 = cell75)) | (~(cell99 = cell74))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7029, 7816])).
% 2.18/2.27 tff(7818,plain,
% 2.18/2.27 ((cell76 = cell2) <=> (cell76 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7819,plain,
% 2.18/2.27 ((cell76 = cell2) <=> (X!1 = cell76)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7818, 6348])).
% 2.18/2.27 tff(7820,plain,
% 2.18/2.27 ((~(cell76 = cell2)) <=> (~(X!1 = cell76))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7819])).
% 2.18/2.27 tff(7821,plain,
% 2.18/2.27 ((~(cell76 = cell2)) <=> (~(cell76 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7822,axiom,(~(cell76 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46768')).
% 2.18/2.27 tff(7823,plain,
% 2.18/2.27 (~(cell76 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7822, 7821])).
% 2.18/2.27 tff(7824,plain,
% 2.18/2.27 (~(X!1 = cell76)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7823, 7820])).
% 2.18/2.27 tff(7825,plain,
% 2.18/2.27 ((~(X!1 = cell76)) | (~(cell99 = cell75))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7032, 7824])).
% 2.18/2.27 tff(7826,plain,
% 2.18/2.27 ((cell77 = cell2) <=> (cell77 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7827,plain,
% 2.18/2.27 ((cell77 = cell2) <=> (X!1 = cell77)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7826, 6340])).
% 2.18/2.27 tff(7828,plain,
% 2.18/2.27 ((~(cell77 = cell2)) <=> (~(X!1 = cell77))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7827])).
% 2.18/2.27 tff(7829,plain,
% 2.18/2.27 ((~(cell77 = cell2)) <=> (~(cell77 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7830,axiom,(~(cell77 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46688')).
% 2.18/2.27 tff(7831,plain,
% 2.18/2.27 (~(cell77 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7830, 7829])).
% 2.18/2.27 tff(7832,plain,
% 2.18/2.27 (~(X!1 = cell77)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7831, 7828])).
% 2.18/2.27 tff(7833,plain,
% 2.18/2.27 ((~(X!1 = cell77)) | (~(cell99 = cell76))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7035, 7832])).
% 2.18/2.27 tff(7834,plain,
% 2.18/2.27 ((cell78 = cell2) <=> (cell78 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7835,plain,
% 2.18/2.27 ((cell78 = cell2) <=> (X!1 = cell78)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7834, 43])).
% 2.18/2.27 tff(7836,plain,
% 2.18/2.27 ((~(cell78 = cell2)) <=> (~(X!1 = cell78))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7835])).
% 2.18/2.27 tff(7837,plain,
% 2.18/2.27 (~(X!1 = cell78)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[5656, 7836])).
% 2.18/2.27 tff(7838,plain,
% 2.18/2.27 ((~(X!1 = cell78)) | (~(cell99 = cell77))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7037, 7837])).
% 2.18/2.27 tff(7839,plain,
% 2.18/2.27 ((~(X!1 = cell79)) | (~(cell99 = cell78))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7040, 7307])).
% 2.18/2.27 tff(7840,plain,
% 2.18/2.27 ((cell80 = cell2) <=> (cell80 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7841,plain,
% 2.18/2.27 ((cell80 = cell2) <=> (X!1 = cell80)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7840, 4502])).
% 2.18/2.27 tff(7842,plain,
% 2.18/2.27 ((~(cell80 = cell2)) <=> (~(X!1 = cell80))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7841])).
% 2.18/2.27 tff(7843,plain,
% 2.18/2.27 (~(X!1 = cell80)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[5636, 7842])).
% 2.18/2.27 tff(7844,plain,
% 2.18/2.27 ((~(X!1 = cell80)) | (~(cell99 = cell79))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7043, 7843])).
% 2.18/2.27 tff(7845,plain,
% 2.18/2.27 ((cell82 = cell2) <=> (cell82 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7846,plain,
% 2.18/2.27 ((cell82 = cell2) <=> (X!1 = cell82)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7845, 6306])).
% 2.18/2.27 tff(7847,plain,
% 2.18/2.27 ((~(cell82 = cell2)) <=> (~(X!1 = cell82))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7846])).
% 2.18/2.27 tff(7848,plain,
% 2.18/2.27 ((~(cell82 = cell2)) <=> (~(cell82 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7849,axiom,(~(cell82 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46442')).
% 2.18/2.27 tff(7850,plain,
% 2.18/2.27 (~(cell82 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7849, 7848])).
% 2.18/2.27 tff(7851,plain,
% 2.18/2.27 (~(X!1 = cell82)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7850, 7847])).
% 2.18/2.27 tff(7852,plain,
% 2.18/2.27 ((~(X!1 = cell82)) | (~(cell99 = cell81))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7046, 7851])).
% 2.18/2.27 tff(7853,plain,
% 2.18/2.27 ((cell83 = cell2) <=> (cell83 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7854,plain,
% 2.18/2.27 ((cell83 = cell2) <=> (X!1 = cell83)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7853, 6298])).
% 2.18/2.27 tff(7855,plain,
% 2.18/2.27 ((~(cell83 = cell2)) <=> (~(X!1 = cell83))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7854])).
% 2.18/2.27 tff(7856,plain,
% 2.18/2.27 ((~(cell83 = cell2)) <=> (~(cell83 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7857,axiom,(~(cell83 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46273')).
% 2.18/2.27 tff(7858,plain,
% 2.18/2.27 (~(cell83 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7857, 7856])).
% 2.18/2.27 tff(7859,plain,
% 2.18/2.27 (~(X!1 = cell83)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7858, 7855])).
% 2.18/2.27 tff(7860,plain,
% 2.18/2.27 ((~(X!1 = cell83)) | (~(cell99 = cell82))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7049, 7859])).
% 2.18/2.27 tff(7861,plain,
% 2.18/2.27 ((cell84 = cell2) <=> (cell84 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7862,plain,
% 2.18/2.27 ((cell84 = cell2) <=> (X!1 = cell84)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7861, 6290])).
% 2.18/2.27 tff(7863,plain,
% 2.18/2.27 ((~(cell84 = cell2)) <=> (~(X!1 = cell84))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7862])).
% 2.18/2.27 tff(7864,plain,
% 2.18/2.27 ((~(cell84 = cell2)) <=> (~(cell84 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7865,axiom,(~(cell84 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46187')).
% 2.18/2.27 tff(7866,plain,
% 2.18/2.27 (~(cell84 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7865, 7864])).
% 2.18/2.27 tff(7867,plain,
% 2.18/2.27 (~(X!1 = cell84)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7866, 7863])).
% 2.18/2.27 tff(7868,plain,
% 2.18/2.27 ((~(X!1 = cell84)) | (~(cell99 = cell83))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7052, 7867])).
% 2.18/2.27 tff(7869,plain,
% 2.18/2.27 ((cell85 = cell2) <=> (cell85 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7870,plain,
% 2.18/2.27 ((cell85 = cell2) <=> (X!1 = cell85)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7869, 6282])).
% 2.18/2.27 tff(7871,plain,
% 2.18/2.27 ((~(cell85 = cell2)) <=> (~(X!1 = cell85))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7870])).
% 2.18/2.27 tff(7872,plain,
% 2.18/2.27 ((~(cell85 = cell2)) <=> (~(cell85 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7873,axiom,(~(cell85 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46100')).
% 2.18/2.27 tff(7874,plain,
% 2.18/2.27 (~(cell85 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 2.18/2.27 tff(7875,plain,
% 2.18/2.27 (~(X!1 = cell85)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7874, 7871])).
% 2.18/2.27 tff(7876,plain,
% 2.18/2.27 ((~(X!1 = cell85)) | (~(cell99 = cell84))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7055, 7875])).
% 2.18/2.27 tff(7877,plain,
% 2.18/2.27 ((cell86 = cell2) <=> (cell86 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7878,plain,
% 2.18/2.27 ((cell86 = cell2) <=> (X!1 = cell86)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7877, 6274])).
% 2.18/2.27 tff(7879,plain,
% 2.18/2.27 ((~(cell86 = cell2)) <=> (~(X!1 = cell86))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7878])).
% 2.18/2.27 tff(7880,plain,
% 2.18/2.27 ((~(cell86 = cell2)) <=> (~(cell86 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7881,axiom,(~(cell86 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46012')).
% 2.18/2.27 tff(7882,plain,
% 2.18/2.27 (~(cell86 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7881, 7880])).
% 2.18/2.27 tff(7883,plain,
% 2.18/2.27 (~(X!1 = cell86)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7882, 7879])).
% 2.18/2.27 tff(7884,plain,
% 2.18/2.27 ((~(X!1 = cell86)) | (~(cell99 = cell85))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7058, 7883])).
% 2.18/2.27 tff(7885,plain,
% 2.18/2.27 ((cell87 = cell2) <=> (cell87 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7886,plain,
% 2.18/2.27 ((cell87 = cell2) <=> (X!1 = cell87)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7885, 6266])).
% 2.18/2.27 tff(7887,plain,
% 2.18/2.27 ((~(cell87 = cell2)) <=> (~(X!1 = cell87))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7886])).
% 2.18/2.27 tff(7888,plain,
% 2.18/2.27 ((~(cell87 = cell2)) <=> (~(cell87 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7889,axiom,(~(cell87 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45923')).
% 2.18/2.27 tff(7890,plain,
% 2.18/2.27 (~(cell87 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 2.18/2.27 tff(7891,plain,
% 2.18/2.27 (~(X!1 = cell87)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7890, 7887])).
% 2.18/2.27 tff(7892,plain,
% 2.18/2.27 ((~(X!1 = cell87)) | (~(cell99 = cell86))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7061, 7891])).
% 2.18/2.27 tff(7893,plain,
% 2.18/2.27 ((~(X!1 = cell88)) | (~(cell99 = cell87))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7064, 7311])).
% 2.18/2.27 tff(7894,plain,
% 2.18/2.27 ((~(X!1 = cell89)) | (~(cell99 = cell88))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7067, 7322])).
% 2.18/2.27 tff(7895,plain,
% 2.18/2.27 ((~(X!1 = cell90)) | (~(cell99 = cell89))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7070, 7317])).
% 2.18/2.27 tff(7896,plain,
% 2.18/2.27 ((cell92 = cell2) <=> (cell92 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7897,plain,
% 2.18/2.27 ((cell92 = cell2) <=> (X!1 = cell92)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7896, 3866])).
% 2.18/2.27 tff(7898,plain,
% 2.18/2.27 ((~(cell92 = cell2)) <=> (~(X!1 = cell92))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7897])).
% 2.18/2.27 tff(7899,plain,
% 2.18/2.27 ((~(cell92 = cell2)) <=> (~(cell92 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7900,axiom,(~(cell92 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45833')).
% 2.18/2.27 tff(7901,plain,
% 2.18/2.27 (~(cell92 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7900, 7899])).
% 2.18/2.27 tff(7902,plain,
% 2.18/2.27 (~(X!1 = cell92)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7901, 7898])).
% 2.18/2.27 tff(7903,plain,
% 2.18/2.27 ((~(X!1 = cell92)) | (~(cell99 = cell91))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7073, 7902])).
% 2.18/2.27 tff(7904,plain,
% 2.18/2.27 ((cell93 = cell2) <=> (cell93 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7905,plain,
% 2.18/2.27 ((cell93 = cell2) <=> (X!1 = cell93)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7904, 3875])).
% 2.18/2.27 tff(7906,plain,
% 2.18/2.27 ((~(cell93 = cell2)) <=> (~(X!1 = cell93))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7905])).
% 2.18/2.27 tff(7907,plain,
% 2.18/2.27 ((~(cell93 = cell2)) <=> (~(cell93 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7908,axiom,(~(cell93 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45650')).
% 2.18/2.27 tff(7909,plain,
% 2.18/2.27 (~(cell93 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7908, 7907])).
% 2.18/2.27 tff(7910,plain,
% 2.18/2.27 (~(X!1 = cell93)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7909, 7906])).
% 2.18/2.27 tff(7911,plain,
% 2.18/2.27 ((~(X!1 = cell93)) | (~(cell99 = cell92))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7076, 7910])).
% 2.18/2.27 tff(7912,plain,
% 2.18/2.27 ((cell94 = cell2) <=> (cell94 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7913,plain,
% 2.18/2.27 ((cell94 = cell2) <=> (X!1 = cell94)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7912, 3884])).
% 2.18/2.27 tff(7914,plain,
% 2.18/2.27 ((~(cell94 = cell2)) <=> (~(X!1 = cell94))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7913])).
% 2.18/2.27 tff(7915,plain,
% 2.18/2.27 ((~(cell94 = cell2)) <=> (~(cell94 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7916,axiom,(~(cell94 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45557')).
% 2.18/2.27 tff(7917,plain,
% 2.18/2.27 (~(cell94 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7916, 7915])).
% 2.18/2.27 tff(7918,plain,
% 2.18/2.27 (~(X!1 = cell94)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7917, 7914])).
% 2.18/2.27 tff(7919,plain,
% 2.18/2.27 ((~(X!1 = cell94)) | (~(cell99 = cell93))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7079, 7918])).
% 2.18/2.27 tff(7920,plain,
% 2.18/2.27 ((cell95 = cell2) <=> (cell95 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7921,plain,
% 2.18/2.27 ((cell95 = cell2) <=> (X!1 = cell95)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7920, 2])).
% 2.18/2.27 tff(7922,plain,
% 2.18/2.27 ((~(cell95 = cell2)) <=> (~(X!1 = cell95))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7921])).
% 2.18/2.27 tff(7923,plain,
% 2.18/2.27 ((~(cell95 = cell2)) <=> (~(cell95 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7924,axiom,(~(cell95 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45463')).
% 2.18/2.27 tff(7925,plain,
% 2.18/2.27 (~(cell95 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 2.18/2.27 tff(7926,plain,
% 2.18/2.27 (~(X!1 = cell95)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7925, 7922])).
% 2.18/2.27 tff(7927,plain,
% 2.18/2.27 ((~(X!1 = cell95)) | (~(cell99 = cell94))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7082, 7926])).
% 2.18/2.27 tff(7928,plain,
% 2.18/2.27 ((cell96 = cell2) <=> (cell96 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7929,plain,
% 2.18/2.27 ((cell96 = cell2) <=> (X!1 = cell96)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7928, 3901])).
% 2.18/2.27 tff(7930,plain,
% 2.18/2.27 ((~(cell96 = cell2)) <=> (~(X!1 = cell96))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7929])).
% 2.18/2.27 tff(7931,plain,
% 2.18/2.27 ((~(cell96 = cell2)) <=> (~(cell96 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7932,axiom,(~(cell96 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45368')).
% 2.18/2.27 tff(7933,plain,
% 2.18/2.27 (~(cell96 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 2.18/2.27 tff(7934,plain,
% 2.18/2.27 (~(X!1 = cell96)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7933, 7930])).
% 2.18/2.27 tff(7935,plain,
% 2.18/2.27 ((~(X!1 = cell96)) | (~(cell99 = cell95))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7085, 7934])).
% 2.18/2.27 tff(7936,plain,
% 2.18/2.27 ((cell97 = cell2) <=> (cell97 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7937,plain,
% 2.18/2.27 ((cell97 = cell2) <=> (X!1 = cell97)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7936, 3910])).
% 2.18/2.27 tff(7938,plain,
% 2.18/2.27 ((~(cell97 = cell2)) <=> (~(X!1 = cell97))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7937])).
% 2.18/2.27 tff(7939,plain,
% 2.18/2.27 ((~(cell97 = cell2)) <=> (~(cell97 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7940,axiom,(~(cell97 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45272')).
% 2.18/2.27 tff(7941,plain,
% 2.18/2.27 (~(cell97 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 2.18/2.27 tff(7942,plain,
% 2.18/2.27 (~(X!1 = cell97)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7941, 7938])).
% 2.18/2.27 tff(7943,plain,
% 2.18/2.27 ((~(X!1 = cell97)) | (~(cell99 = cell96))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7088, 7942])).
% 2.18/2.27 tff(7944,plain,
% 2.18/2.27 ((~(X!1 = cell98)) | (~(cell99 = cell97))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7091, 7305])).
% 2.18/2.27 tff(7945,plain,
% 2.18/2.27 ((cell2 = cell99) <=> (cell99 = cell2)),
% 2.18/2.27 inference(commutativity,[status(thm)],[])).
% 2.18/2.27 tff(7946,plain,
% 2.18/2.27 (X!1 = cell2),
% 2.18/2.27 inference(symmetry,[status(thm)],[7298])).
% 2.18/2.27 tff(7947,plain,
% 2.18/2.27 ((X!1 = cell99) <=> (cell2 = cell99)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7946])).
% 2.18/2.27 tff(7948,plain,
% 2.18/2.27 ((X!1 = cell99) <=> (cell99 = cell2)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7947, 7945])).
% 2.18/2.27 tff(7949,plain,
% 2.18/2.27 ((cell99 = cell2) <=> (X!1 = cell99)),
% 2.18/2.27 inference(symmetry,[status(thm)],[7948])).
% 2.18/2.27 tff(7950,plain,
% 2.18/2.27 ((~(cell99 = cell2)) <=> (~(X!1 = cell99))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7949])).
% 2.18/2.27 tff(7951,plain,
% 2.18/2.27 (~(X!1 = cell99)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[4054, 7950])).
% 2.18/2.27 tff(7952,plain,
% 2.18/2.27 ((~(X!1 = cell99)) | (~(cell99 = cell98))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7094, 7951])).
% 2.18/2.27 tff(7953,plain,
% 2.18/2.27 ((cell11 = cell2) <=> (cell11 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7954,plain,
% 2.18/2.27 ((cell11 = cell2) <=> (X!1 = cell11)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7953, 4038])).
% 2.18/2.27 tff(7955,plain,
% 2.18/2.27 ((~(cell11 = cell2)) <=> (~(X!1 = cell11))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7954])).
% 2.18/2.27 tff(7956,plain,
% 2.18/2.27 (~(X!1 = cell11)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[3941, 7955])).
% 2.18/2.27 tff(7957,plain,
% 2.18/2.27 ((~(X!1 = cell11)) | (~(cell99 = cell1))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7097, 7956])).
% 2.18/2.27 tff(7958,plain,
% 2.18/2.27 ((cell2 = cell13) <=> (X!1 = cell13)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7959,plain,
% 2.18/2.27 ((~(cell2 = cell13)) <=> (~(X!1 = cell13))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7958])).
% 2.18/2.27 tff(7960,plain,
% 2.18/2.27 ((~(cell2 = cell13)) <=> (~(cell2 = cell13))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7961,axiom,(~(cell2 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49928')).
% 2.18/2.27 tff(7962,plain,
% 2.18/2.27 (~(cell2 = cell13)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 2.18/2.27 tff(7963,plain,
% 2.18/2.27 (~(X!1 = cell13)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7962, 7959])).
% 2.18/2.27 tff(7964,plain,
% 2.18/2.27 ((~(X!1 = cell13)) | (~(cell99 = cell3))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7099, 7963])).
% 2.18/2.27 tff(7965,plain,
% 2.18/2.27 ((cell14 = cell2) <=> (cell14 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7966,plain,
% 2.18/2.27 ((cell14 = cell2) <=> (X!1 = cell14)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7965, 6185])).
% 2.18/2.27 tff(7967,plain,
% 2.18/2.27 ((~(cell14 = cell2)) <=> (~(X!1 = cell14))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7966])).
% 2.18/2.27 tff(7968,plain,
% 2.18/2.27 ((~(cell14 = cell2)) <=> (~(cell14 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7969,axiom,(~(cell14 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49757')).
% 2.18/2.27 tff(7970,plain,
% 2.18/2.27 (~(cell14 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7969, 7968])).
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% 2.18/2.27 (~(X!1 = cell14)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7970, 7967])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7102, 7971])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7104, 7394])).
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% 2.18/2.27 ((~(X!1 = cell16)) | (~(cell99 = cell6))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7106, 7402])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7108, 7410])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7110, 7418])).
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% 2.18/2.27 ((~(X!1 = cell19)) | (~(cell99 = cell9))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7112, 7426])).
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% 2.18/2.27 ((~(X!1 = cell20)) | (~(cell99 = cell10))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7114, 7434])).
% 2.18/2.27 tff(7979,plain,
% 2.18/2.27 ((~(X!1 = cell24)) | (~(cell99 = cell14))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7116, 7451])).
% 2.18/2.27 tff(7980,plain,
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7118, 7459])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7120, 7467])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7122, 7475])).
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% 2.18/2.27 ((~(X!1 = cell28)) | (~(cell99 = cell18))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7124, 7483])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7126, 7491])).
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% 2.18/2.27 ((~(X!1 = cell30)) | (~(cell99 = cell20))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7128, 7499])).
% 2.18/2.27 tff(7986,plain,
% 2.18/2.27 ((cell31 = cell2) <=> (cell31 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(7987,plain,
% 2.18/2.27 ((cell31 = cell2) <=> (X!1 = cell31)),
% 2.18/2.27 inference(transitivity,[status(thm)],[7986, 6177])).
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% 2.18/2.27 ((~(cell31 = cell2)) <=> (~(X!1 = cell31))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7987])).
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% 2.18/2.27 ((~(cell31 = cell2)) <=> (~(cell31 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(7990,axiom,(~(cell31 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49298')).
% 2.18/2.27 tff(7991,plain,
% 2.18/2.27 (~(cell31 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[7990, 7989])).
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[7991, 7988])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7131, 7992])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7133, 7515])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7135, 7523])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7137, 7531])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7139, 7539])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7141, 7547])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7143, 7555])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7145, 7563])).
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% 2.18/2.27 ((~(X!1 = cell40)) | (~(cell99 = cell30))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7147, 7571])).
% 2.18/2.27 tff(8002,plain,
% 2.18/2.27 ((cell41 = cell2) <=> (cell41 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(8003,plain,
% 2.18/2.27 ((cell41 = cell2) <=> (X!1 = cell41)),
% 2.18/2.27 inference(transitivity,[status(thm)],[8002, 6169])).
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% 2.18/2.27 ((~(cell41 = cell2)) <=> (~(X!1 = cell41))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[8003])).
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% 2.18/2.27 ((~(cell41 = cell2)) <=> (~(cell41 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(8006,axiom,(~(cell41 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48893')).
% 2.18/2.27 tff(8007,plain,
% 2.18/2.27 (~(cell41 = cell2)),
% 2.18/2.27 inference(modus_ponens,[status(thm)],[8006, 8005])).
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8007, 8004])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7150, 8008])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7152, 7579])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7154, 7587])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7156, 7595])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7158, 7603])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7160, 7611])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7162, 7619])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7164, 7627])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7166, 7635])).
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% 2.18/2.27 ((~(X!1 = cell50)) | (~(cell99 = cell40))),
% 2.18/2.27 inference(unit_resolution,[status(thm)],[7168, 7643])).
% 2.18/2.27 tff(8019,plain,
% 2.18/2.27 ((cell51 = cell2) <=> (cell51 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(8020,plain,
% 2.18/2.27 ((cell51 = cell2) <=> (X!1 = cell51)),
% 2.18/2.27 inference(transitivity,[status(thm)],[8019, 6161])).
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% 2.18/2.27 ((~(cell51 = cell2)) <=> (~(X!1 = cell51))),
% 2.18/2.27 inference(monotonicity,[status(thm)],[8020])).
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% 2.18/2.27 ((~(cell51 = cell2)) <=> (~(cell51 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(8023,axiom,(~(cell51 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48388')).
% 2.18/2.27 tff(8024,plain,
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8023, 8022])).
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8024, 8021])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7171, 8025])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7173, 7651])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7175, 7659])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7177, 7667])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7179, 7675])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7181, 7683])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7183, 7691])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7185, 7699])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7187, 7707])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7189, 7715])).
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% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
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% 2.18/2.27 inference(transitivity,[status(thm)],[8036, 6153])).
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% 2.18/2.27 inference(monotonicity,[status(thm)],[8037])).
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% 2.18/2.27 tff(8040,axiom,(~(cell61 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47783')).
% 2.18/2.27 tff(8041,plain,
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8040, 8039])).
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8041, 8038])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7196, 7731])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7198, 7739])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7200, 7747])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7202, 7755])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7204, 7763])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7206, 7771])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7208, 7776])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7210, 7784])).
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% 2.18/2.27 ((cell71 = cell2) <=> (cell71 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
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% 2.18/2.27 inference(transitivity,[status(thm)],[8053, 6145])).
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% 2.18/2.27 tff(8057,axiom,(~(cell71 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47078')).
% 2.18/2.27 tff(8058,plain,
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8057, 8056])).
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8058, 8055])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7215, 7792])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7217, 7800])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7219, 7808])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7221, 7816])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7223, 7824])).
% 2.18/2.27 tff(8066,plain,
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7225, 7832])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7227, 7837])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7231, 7843])).
% 2.18/2.27 tff(8070,plain,
% 2.18/2.27 ((cell81 = cell2) <=> (cell81 = X!1)),
% 2.18/2.27 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.27 tff(8071,plain,
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% 2.18/2.27 inference(transitivity,[status(thm)],[8070, 6137])).
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% 2.18/2.27 tff(8073,plain,
% 2.18/2.27 ((~(cell81 = cell2)) <=> (~(cell81 = cell2))),
% 2.18/2.27 inference(rewrite,[status(thm)],[])).
% 2.18/2.27 tff(8074,axiom,(~(cell81 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46358')).
% 2.18/2.27 tff(8075,plain,
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8074, 8073])).
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% 2.18/2.27 inference(modus_ponens,[status(thm)],[8075, 8072])).
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7234, 8076])).
% 2.18/2.27 tff(8078,plain,
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% 2.18/2.27 inference(unit_resolution,[status(thm)],[7236, 7851])).
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% 2.18/2.28 inference(monotonicity,[status(thm)],[8088])).
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% 2.18/2.28 tff(8091,axiom,(~(cell91 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45742')).
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% 2.18/2.28 tff(8097,plain,
% 2.18/2.28 ((~(X!1 = cell94)) | (~(cell99 = cell84))),
% 2.18/2.28 inference(unit_resolution,[status(thm)],[7261, 7918])).
% 2.18/2.28 tff(8098,plain,
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% 2.18/2.28 inference(unit_resolution,[status(thm)],[7263, 7926])).
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% 2.18/2.28 inference(unit_resolution,[status(thm)],[7265, 7934])).
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% 2.18/2.28 ((~(X!1 = cell97)) | (~(cell99 = cell87))),
% 2.18/2.28 inference(unit_resolution,[status(thm)],[7267, 7942])).
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% 2.18/2.28 ((~(X!1 = cell98)) | (~(cell99 = cell88))),
% 2.18/2.28 inference(unit_resolution,[status(thm)],[7269, 7305])).
% 2.18/2.28 tff(8102,plain,
% 2.18/2.28 ((~(X!1 = cell99)) | (~(cell99 = cell89))),
% 2.18/2.28 inference(unit_resolution,[status(thm)],[7271, 7951])).
% 2.18/2.28 tff(8103,plain,
% 2.18/2.28 ((cell100 = cell2) <=> (cell100 = X!1)),
% 2.18/2.28 inference(monotonicity,[status(thm)],[7298])).
% 2.18/2.28 tff(8104,plain,
% 2.18/2.28 ((cell100 = cell2) <=> (X!1 = cell100)),
% 2.18/2.28 inference(transitivity,[status(thm)],[8103, 6840])).
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% 2.18/2.28 ((~(cell100 = cell2)) <=> (~(X!1 = cell100))),
% 2.18/2.28 inference(monotonicity,[status(thm)],[8104])).
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% 2.18/2.28 ((~(cell100 = cell2)) <=> (~(cell100 = cell2))),
% 2.18/2.28 inference(rewrite,[status(thm)],[])).
% 2.18/2.28 tff(8107,axiom,(~(cell100 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45077')).
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% 2.18/2.28 inference(modus_ponens,[status(thm)],[8107, 8106])).
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% 2.18/2.28 inference(modus_ponens,[status(thm)],[8108, 8105])).
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% 2.18/2.28 inference(unit_resolution,[status(thm)],[7274, 8109])).
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% 2.18/2.28 inference(unit_resolution,[status(thm)],[6092, 8109, 6091, 6089, 6087, 6085, 6083, 6081, 6079, 6077, 6075, 6073, 8110, 8102, 8101, 8100, 8099, 8098, 8097, 8096, 8095, 8094, 8086, 8085, 8084, 8083, 8082, 8081, 8080, 8079, 8078, 8077, 8069, 8068, 8067, 8066, 8065, 8064, 8063, 8062, 8061, 8060, 8052, 8051, 8050, 8049, 8048, 8047, 8046, 8045, 8044, 8043, 8035, 8034, 8033, 8032, 8031, 8030, 8029, 8028, 8027, 8026, 8018, 8017, 8016, 8015, 8014, 8013, 8012, 8011, 8010, 8009, 8001, 8000, 7999, 7998, 7997, 7996, 7995, 7994, 7993, 7985, 7984, 7983, 7982, 7981, 7980, 7979, 7978, 7977, 7976, 7975, 7974, 7973, 7972, 7964, 7957, 7952, 7944, 7943, 7935, 7927, 7919, 7911, 7903, 7895, 7894, 7893, 7892, 7884, 7876, 7868, 7860, 7852, 7844, 7839, 7838, 7833, 7825, 7817, 7809, 7801, 7793, 7785, 7777, 7772, 7764, 7756, 7748, 7740, 7732, 7724, 7716, 7708, 7700, 7692, 7684, 7676, 7668, 7660, 7652, 7644, 7636, 7628, 7620, 7612, 7604, 7596, 7588, 7580, 7572, 7564, 7556, 7548, 7540, 7532, 7524, 7516, 7508, 7500, 7492, 7484, 7476, 7468, 7460, 7452, 7444, 7435, 7427, 7419, 7411, 7403, 7395, 7387, 7379, 7371, 7363, 7355, 7347, 7339])).
% 2.18/2.28 tff(8112,plain,
% 2.18/2.28 ($false),
% 2.18/2.28 inference(unit_resolution,[status(thm)],[8111, 5735, 7331])).
% 2.18/2.28 tff(8113,plain,(~(Y!0 = cell99)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.28 tff(8114,assumption,(oxygen(cell99)), introduced(assumption)).
% 2.18/2.28 tff(8115,plain,
% 2.18/2.28 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((~oxygen(Y!0)) | (Y!0 = cell99) | (~oxygen(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (~oxygen(Y!0)) | (Y!0 = cell99) | (~oxygen(cell99)))),
% 2.18/2.28 inference(rewrite,[status(thm)],[])).
% 2.18/2.28 tff(8116,plain,
% 2.18/2.28 (((Y!0 = cell99) | (~oxygen(cell99)) | (~oxygen(Y!0))) <=> ((~oxygen(Y!0)) | (Y!0 = cell99) | (~oxygen(cell99)))),
% 2.18/2.28 inference(rewrite,[status(thm)],[])).
% 2.18/2.28 tff(8117,plain,
% 2.18/2.28 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((Y!0 = cell99) | (~oxygen(cell99)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((~oxygen(Y!0)) | (Y!0 = cell99) | (~oxygen(cell99))))),
% 2.18/2.28 inference(monotonicity,[status(thm)],[8116])).
% 2.18/2.28 tff(8118,plain,
% 2.18/2.28 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((Y!0 = cell99) | (~oxygen(cell99)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (~oxygen(Y!0)) | (Y!0 = cell99) | (~oxygen(cell99)))),
% 2.18/2.28 inference(transitivity,[status(thm)],[8117, 8115])).
% 2.18/2.28 tff(8119,plain,
% 2.18/2.28 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((Y!0 = cell99) | (~oxygen(cell99)) | (~oxygen(Y!0)))),
% 2.18/2.28 inference(quant_inst,[status(thm)],[])).
% 2.18/2.28 tff(8120,plain,
% 2.18/2.28 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (~oxygen(Y!0)) | (Y!0 = cell99) | (~oxygen(cell99))),
% 2.18/2.28 inference(modus_ponens,[status(thm)],[8119, 8118])).
% 2.18/2.28 tff(8121,plain,
% 2.18/2.28 ($false),
% 2.18/2.28 inference(unit_resolution,[status(thm)],[8120, 8114, 1246, 1233, 8113])).
% 2.18/2.28 tff(8122,plain,(~oxygen(cell99)), inference(lemma,lemma(discharge,[]))).
% 2.18/2.28 tff(8123,plain,
% 2.18/2.28 ((oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99))),
% 2.18/2.28 inference(rewrite,[status(thm)],[])).
% 2.18/2.28 tff(8124,plain,
% 2.18/2.28 (((oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90)) | oxygen(cell99)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99))),
% 2.18/2.28 inference(rewrite,[status(thm)],[])).
% 2.18/2.28 tff(8125,plain,
% 2.18/2.28 (((oxygen(cell89) | oxygen(cell88) | oxygen(cell79)) | oxygen(cell90)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90))),
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% 2.34/2.38 ((~(cell9 = cell90)) <=> (~(Y!0 = cell9))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8244])).
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% 2.34/2.38 ((~(cell9 = cell90)) <=> (~(cell9 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8247,axiom,(~(cell9 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49788')).
% 2.34/2.38 tff(8248,plain,
% 2.34/2.38 (~(cell9 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8247, 8246])).
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% 2.34/2.38 (~(Y!0 = cell9)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8248, 8245])).
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% 2.34/2.38 (((~(X!1 = cell10)) | (~(Y!0 = cell9))) | (Y!0 = cell9)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
% 2.34/2.38 tff(8251,plain,
% 2.34/2.38 ((~(X!1 = cell10)) | (~(Y!0 = cell9))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8250, 8249])).
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% 2.34/2.38 ((cell90 = cell86) <=> (cell86 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
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% 2.34/2.38 ((Y!0 = cell86) <=> (cell90 = cell86)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
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% 2.34/2.38 ((Y!0 = cell86) <=> (cell86 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8253, 8252])).
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% 2.34/2.38 ((cell86 = cell90) <=> (Y!0 = cell86)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8254])).
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% 2.34/2.38 ((~(cell86 = cell90)) <=> (~(Y!0 = cell86))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8255])).
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% 2.34/2.38 ((~(cell86 = cell90)) <=> (~(cell86 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8258,axiom,(~(cell86 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46008')).
% 2.34/2.38 tff(8259,plain,
% 2.34/2.38 (~(cell86 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8258, 8257])).
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% 2.34/2.38 (~(Y!0 = cell86)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8259, 8256])).
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% 2.34/2.38 (((~(X!1 = cell96)) | (~(Y!0 = cell86))) | (Y!0 = cell86)),
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% 2.34/2.38 ((~(X!1 = cell96)) | (~(Y!0 = cell86))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8261, 8260])).
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% 2.34/2.38 (((~(X!1 = cell13)) | (~(Y!0 = cell12))) | (X!1 = cell13)),
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% 2.34/2.38 inference(unit_resolution,[status(thm)],[8263, 29])).
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% 2.34/2.38 ((cell90 = cell14) <=> (cell14 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
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% 2.34/2.38 ((Y!0 = cell14) <=> (cell90 = cell14)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
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% 2.34/2.38 ((Y!0 = cell14) <=> (cell14 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8266, 8265])).
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% 2.34/2.38 ((cell14 = cell90) <=> (Y!0 = cell14)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8267])).
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% 2.34/2.38 ((~(cell14 = cell90)) <=> (~(Y!0 = cell14))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8268])).
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% 2.34/2.38 ((~(cell14 = cell90)) <=> (~(cell14 = cell90))),
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% 2.34/2.38 tff(8271,axiom,(~(cell14 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49753')).
% 2.34/2.38 tff(8272,plain,
% 2.34/2.38 (~(cell14 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8271, 8270])).
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% 2.34/2.38 (~(Y!0 = cell14)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8272, 8269])).
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% 2.34/2.38 (((~(X!1 = cell15)) | (~(Y!0 = cell14))) | (Y!0 = cell14)),
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% 2.34/2.38 inference(unit_resolution,[status(thm)],[8274, 8273])).
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% 2.34/2.38 ((cell90 = cell15) <=> (cell15 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
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% 2.34/2.38 ((Y!0 = cell15) <=> (cell90 = cell15)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
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% 2.34/2.38 ((Y!0 = cell15) <=> (cell15 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8277, 8276])).
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% 2.34/2.38 ((cell15 = cell90) <=> (Y!0 = cell15)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8278])).
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% 2.34/2.38 ((~(cell15 = cell90)) <=> (~(Y!0 = cell15))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8279])).
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% 2.34/2.38 ((~(cell15 = cell90)) <=> (~(cell15 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8282,axiom,(~(cell15 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49734')).
% 2.34/2.38 tff(8283,plain,
% 2.34/2.38 (~(cell15 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8282, 8281])).
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% 2.34/2.38 (~(Y!0 = cell15)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8283, 8280])).
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% 2.34/2.38 (((~(X!1 = cell16)) | (~(Y!0 = cell15))) | (Y!0 = cell15)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
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% 2.34/2.38 ((~(X!1 = cell16)) | (~(Y!0 = cell15))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8285, 8284])).
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% 2.34/2.38 ((cell90 = cell16) <=> (cell16 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
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% 2.34/2.38 ((Y!0 = cell16) <=> (cell90 = cell16)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
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% 2.34/2.38 ((Y!0 = cell16) <=> (cell16 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8288, 8287])).
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% 2.34/2.38 ((cell16 = cell90) <=> (Y!0 = cell16)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8289])).
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% 2.34/2.38 ((~(cell16 = cell90)) <=> (~(Y!0 = cell16))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8290])).
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% 2.34/2.38 ((~(cell16 = cell90)) <=> (~(cell16 = cell90))),
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% 2.34/2.38 tff(8293,axiom,(~(cell16 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49714')).
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% 2.34/2.38 (~(cell16 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8293, 8292])).
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% 2.34/2.38 inference(modus_ponens,[status(thm)],[8294, 8291])).
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% 2.34/2.38 inference(unit_resolution,[status(thm)],[8296, 8295])).
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% 2.34/2.38 ((cell90 = cell17) <=> (cell17 = cell90)),
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% 2.34/2.38 ((Y!0 = cell17) <=> (cell90 = cell17)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
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% 2.34/2.38 ((Y!0 = cell17) <=> (cell17 = cell90)),
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% 2.34/2.38 ((~(cell17 = cell90)) <=> (~(Y!0 = cell17))),
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% 2.34/2.38 ((~(cell17 = cell90)) <=> (~(cell17 = cell90))),
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% 2.34/2.38 tff(8304,axiom,(~(cell17 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49693')).
% 2.34/2.38 tff(8305,plain,
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% 2.34/2.38 inference(modus_ponens,[status(thm)],[8304, 8303])).
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% 2.34/2.38 inference(modus_ponens,[status(thm)],[8305, 8302])).
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% 2.34/2.38 inference(unit_resolution,[status(thm)],[8307, 8306])).
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% 2.34/2.38 ((cell90 = cell18) <=> (cell18 = cell90)),
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% 2.34/2.38 ((~(cell18 = cell90)) <=> (~(cell18 = cell90))),
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% 2.34/2.38 tff(8315,axiom,(~(cell18 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49671')).
% 2.34/2.38 tff(8316,plain,
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% 2.34/2.38 inference(modus_ponens,[status(thm)],[8315, 8314])).
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% 2.34/2.38 ((~(cell19 = cell90)) <=> (~(Y!0 = cell19))),
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% 2.34/2.38 ((~(cell19 = cell90)) <=> (~(cell19 = cell90))),
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% 2.34/2.38 tff(8326,axiom,(~(cell19 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49648')).
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% 2.34/2.38 ((~(cell77 = cell90)) <=> (~(cell77 = cell90))),
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% 2.34/2.38 tff(8337,axiom,(~(cell77 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46684')).
% 2.34/2.38 tff(8338,plain,
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% 2.34/2.38 tff(8348,axiom,(~(cell23 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49573')).
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% 2.34/2.38 ((~(cell24 = cell90)) <=> (~(cell24 = cell90))),
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% 2.34/2.38 tff(8359,axiom,(~(cell24 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49546')).
% 2.34/2.38 tff(8360,plain,
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% 2.34/2.38 inference(modus_ponens,[status(thm)],[8359, 8358])).
% 2.34/2.38 tff(8361,plain,
% 2.34/2.38 (~(Y!0 = cell24)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8360, 8357])).
% 2.34/2.38 tff(8362,plain,
% 2.34/2.38 (((~(X!1 = cell25)) | (~(Y!0 = cell24))) | (Y!0 = cell24)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
% 2.34/2.38 tff(8363,plain,
% 2.34/2.38 ((~(X!1 = cell25)) | (~(Y!0 = cell24))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8362, 8361])).
% 2.34/2.38 tff(8364,plain,
% 2.34/2.38 ((cell90 = cell25) <=> (cell25 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
% 2.34/2.38 tff(8365,plain,
% 2.34/2.38 ((Y!0 = cell25) <=> (cell90 = cell25)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.38 tff(8366,plain,
% 2.34/2.38 ((Y!0 = cell25) <=> (cell25 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8365, 8364])).
% 2.34/2.38 tff(8367,plain,
% 2.34/2.38 ((cell25 = cell90) <=> (Y!0 = cell25)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8366])).
% 2.34/2.38 tff(8368,plain,
% 2.34/2.38 ((~(cell25 = cell90)) <=> (~(Y!0 = cell25))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8367])).
% 2.34/2.38 tff(8369,plain,
% 2.34/2.38 ((~(cell25 = cell90)) <=> (~(cell25 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8370,axiom,(~(cell25 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49518')).
% 2.34/2.38 tff(8371,plain,
% 2.34/2.38 (~(cell25 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 2.34/2.38 tff(8372,plain,
% 2.34/2.38 (~(Y!0 = cell25)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8371, 8368])).
% 2.34/2.38 tff(8373,plain,
% 2.34/2.38 (((~(X!1 = cell26)) | (~(Y!0 = cell25))) | (Y!0 = cell25)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
% 2.34/2.38 tff(8374,plain,
% 2.34/2.38 ((~(X!1 = cell26)) | (~(Y!0 = cell25))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8373, 8372])).
% 2.34/2.38 tff(8375,plain,
% 2.34/2.38 ((cell90 = cell26) <=> (cell26 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
% 2.34/2.38 tff(8376,plain,
% 2.34/2.38 ((Y!0 = cell26) <=> (cell90 = cell26)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.38 tff(8377,plain,
% 2.34/2.38 ((Y!0 = cell26) <=> (cell26 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8376, 8375])).
% 2.34/2.38 tff(8378,plain,
% 2.34/2.38 ((cell26 = cell90) <=> (Y!0 = cell26)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8377])).
% 2.34/2.38 tff(8379,plain,
% 2.34/2.38 ((~(cell26 = cell90)) <=> (~(Y!0 = cell26))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8378])).
% 2.34/2.38 tff(8380,plain,
% 2.34/2.38 ((~(cell26 = cell90)) <=> (~(cell26 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8381,axiom,(~(cell26 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49489')).
% 2.34/2.38 tff(8382,plain,
% 2.34/2.38 (~(cell26 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8381, 8380])).
% 2.34/2.38 tff(8383,plain,
% 2.34/2.38 (~(Y!0 = cell26)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8382, 8379])).
% 2.34/2.38 tff(8384,plain,
% 2.34/2.38 (((~(X!1 = cell27)) | (~(Y!0 = cell26))) | (Y!0 = cell26)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
% 2.34/2.38 tff(8385,plain,
% 2.34/2.38 ((~(X!1 = cell27)) | (~(Y!0 = cell26))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8384, 8383])).
% 2.34/2.38 tff(8386,plain,
% 2.34/2.38 ((cell90 = cell27) <=> (cell27 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
% 2.34/2.38 tff(8387,plain,
% 2.34/2.38 ((Y!0 = cell27) <=> (cell90 = cell27)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.38 tff(8388,plain,
% 2.34/2.38 ((Y!0 = cell27) <=> (cell27 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8387, 8386])).
% 2.34/2.38 tff(8389,plain,
% 2.34/2.38 ((cell27 = cell90) <=> (Y!0 = cell27)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8388])).
% 2.34/2.38 tff(8390,plain,
% 2.34/2.38 ((~(cell27 = cell90)) <=> (~(Y!0 = cell27))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8389])).
% 2.34/2.38 tff(8391,plain,
% 2.34/2.38 ((~(cell27 = cell90)) <=> (~(cell27 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8392,axiom,(~(cell27 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49459')).
% 2.34/2.38 tff(8393,plain,
% 2.34/2.38 (~(cell27 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 2.34/2.38 tff(8394,plain,
% 2.34/2.38 (~(Y!0 = cell27)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8393, 8390])).
% 2.34/2.38 tff(8395,plain,
% 2.34/2.38 (((~(X!1 = cell28)) | (~(Y!0 = cell27))) | (Y!0 = cell27)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
% 2.34/2.38 tff(8396,plain,
% 2.34/2.38 ((~(X!1 = cell28)) | (~(Y!0 = cell27))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8395, 8394])).
% 2.34/2.38 tff(8397,plain,
% 2.34/2.38 ((cell90 = cell28) <=> (cell28 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
% 2.34/2.38 tff(8398,plain,
% 2.34/2.38 ((Y!0 = cell28) <=> (cell90 = cell28)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.38 tff(8399,plain,
% 2.34/2.38 ((Y!0 = cell28) <=> (cell28 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8398, 8397])).
% 2.34/2.38 tff(8400,plain,
% 2.34/2.38 ((cell28 = cell90) <=> (Y!0 = cell28)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8399])).
% 2.34/2.38 tff(8401,plain,
% 2.34/2.38 ((~(cell28 = cell90)) <=> (~(Y!0 = cell28))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8400])).
% 2.34/2.38 tff(8402,plain,
% 2.34/2.38 ((~(cell28 = cell90)) <=> (~(cell28 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8403,axiom,(~(cell28 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49428')).
% 2.34/2.38 tff(8404,plain,
% 2.34/2.38 (~(cell28 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8403, 8402])).
% 2.34/2.38 tff(8405,plain,
% 2.34/2.38 (~(Y!0 = cell28)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8404, 8401])).
% 2.34/2.38 tff(8406,plain,
% 2.34/2.38 (((~(X!1 = cell29)) | (~(Y!0 = cell28))) | (Y!0 = cell28)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
% 2.34/2.38 tff(8407,plain,
% 2.34/2.38 ((~(X!1 = cell29)) | (~(Y!0 = cell28))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8406, 8405])).
% 2.34/2.38 tff(8408,plain,
% 2.34/2.38 ((cell90 = cell29) <=> (cell29 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
% 2.34/2.38 tff(8409,plain,
% 2.34/2.38 ((Y!0 = cell29) <=> (cell90 = cell29)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.38 tff(8410,plain,
% 2.34/2.38 ((Y!0 = cell29) <=> (cell29 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8409, 8408])).
% 2.34/2.38 tff(8411,plain,
% 2.34/2.38 ((cell29 = cell90) <=> (Y!0 = cell29)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8410])).
% 2.34/2.38 tff(8412,plain,
% 2.34/2.38 ((~(cell29 = cell90)) <=> (~(Y!0 = cell29))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8411])).
% 2.34/2.38 tff(8413,plain,
% 2.34/2.38 ((~(cell29 = cell90)) <=> (~(cell29 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8414,axiom,(~(cell29 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49396')).
% 2.34/2.38 tff(8415,plain,
% 2.34/2.38 (~(cell29 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 2.34/2.38 tff(8416,plain,
% 2.34/2.38 (~(Y!0 = cell29)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8415, 8412])).
% 2.34/2.38 tff(8417,plain,
% 2.34/2.38 (((~(X!1 = cell30)) | (~(Y!0 = cell29))) | (Y!0 = cell29)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
% 2.34/2.38 tff(8418,plain,
% 2.34/2.38 ((~(X!1 = cell30)) | (~(Y!0 = cell29))),
% 2.34/2.38 inference(unit_resolution,[status(thm)],[8417, 8416])).
% 2.34/2.38 tff(8419,plain,
% 2.34/2.38 ((cell90 = cell31) <=> (cell31 = cell90)),
% 2.34/2.38 inference(commutativity,[status(thm)],[])).
% 2.34/2.38 tff(8420,plain,
% 2.34/2.38 ((Y!0 = cell31) <=> (cell90 = cell31)),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.38 tff(8421,plain,
% 2.34/2.38 ((Y!0 = cell31) <=> (cell31 = cell90)),
% 2.34/2.38 inference(transitivity,[status(thm)],[8420, 8419])).
% 2.34/2.38 tff(8422,plain,
% 2.34/2.38 ((cell31 = cell90) <=> (Y!0 = cell31)),
% 2.34/2.38 inference(symmetry,[status(thm)],[8421])).
% 2.34/2.38 tff(8423,plain,
% 2.34/2.38 ((~(cell31 = cell90)) <=> (~(Y!0 = cell31))),
% 2.34/2.38 inference(monotonicity,[status(thm)],[8422])).
% 2.34/2.38 tff(8424,plain,
% 2.34/2.38 ((~(cell31 = cell90)) <=> (~(cell31 = cell90))),
% 2.34/2.38 inference(rewrite,[status(thm)],[])).
% 2.34/2.38 tff(8425,axiom,(~(cell31 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49294')).
% 2.34/2.38 tff(8426,plain,
% 2.34/2.38 (~(cell31 = cell90)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8425, 8424])).
% 2.34/2.38 tff(8427,plain,
% 2.34/2.38 (~(Y!0 = cell31)),
% 2.34/2.38 inference(modus_ponens,[status(thm)],[8426, 8423])).
% 2.34/2.38 tff(8428,plain,
% 2.34/2.38 (((~(X!1 = cell32)) | (~(Y!0 = cell31))) | (Y!0 = cell31)),
% 2.34/2.38 inference(tautology,[status(thm)],[])).
% 2.34/2.38 tff(8429,plain,
% 2.34/2.38 ((~(X!1 = cell32)) | (~(Y!0 = cell31))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8428, 8427])).
% 2.34/2.39 tff(8430,plain,
% 2.34/2.39 ((cell90 = cell32) <=> (cell32 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8431,plain,
% 2.34/2.39 ((Y!0 = cell32) <=> (cell90 = cell32)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8432,plain,
% 2.34/2.39 ((Y!0 = cell32) <=> (cell32 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8431, 8430])).
% 2.34/2.39 tff(8433,plain,
% 2.34/2.39 ((cell32 = cell90) <=> (Y!0 = cell32)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8432])).
% 2.34/2.39 tff(8434,plain,
% 2.34/2.39 ((~(cell32 = cell90)) <=> (~(Y!0 = cell32))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8433])).
% 2.34/2.39 tff(8435,plain,
% 2.34/2.39 ((~(cell32 = cell90)) <=> (~(cell32 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8436,axiom,(~(cell32 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49329')).
% 2.34/2.39 tff(8437,plain,
% 2.34/2.39 (~(cell32 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8436, 8435])).
% 2.34/2.39 tff(8438,plain,
% 2.34/2.39 (~(Y!0 = cell32)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8437, 8434])).
% 2.34/2.39 tff(8439,plain,
% 2.34/2.39 (((~(X!1 = cell33)) | (~(Y!0 = cell32))) | (Y!0 = cell32)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8440,plain,
% 2.34/2.39 ((~(X!1 = cell33)) | (~(Y!0 = cell32))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8439, 8438])).
% 2.34/2.39 tff(8441,plain,
% 2.34/2.39 ((cell90 = cell33) <=> (cell33 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8442,plain,
% 2.34/2.39 ((Y!0 = cell33) <=> (cell90 = cell33)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8443,plain,
% 2.34/2.39 ((Y!0 = cell33) <=> (cell33 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8442, 8441])).
% 2.34/2.39 tff(8444,plain,
% 2.34/2.39 ((cell33 = cell90) <=> (Y!0 = cell33)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8443])).
% 2.34/2.39 tff(8445,plain,
% 2.34/2.39 ((~(cell33 = cell90)) <=> (~(Y!0 = cell33))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8444])).
% 2.34/2.39 tff(8446,plain,
% 2.34/2.39 ((~(cell33 = cell90)) <=> (~(cell33 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8447,axiom,(~(cell33 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49258')).
% 2.34/2.39 tff(8448,plain,
% 2.34/2.39 (~(cell33 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 2.34/2.39 tff(8449,plain,
% 2.34/2.39 (~(Y!0 = cell33)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8448, 8445])).
% 2.34/2.39 tff(8450,plain,
% 2.34/2.39 (((~(X!1 = cell34)) | (~(Y!0 = cell33))) | (Y!0 = cell33)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8451,plain,
% 2.34/2.39 ((~(X!1 = cell34)) | (~(Y!0 = cell33))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8450, 8449])).
% 2.34/2.39 tff(8452,plain,
% 2.34/2.39 ((cell90 = cell34) <=> (cell34 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8453,plain,
% 2.34/2.39 ((Y!0 = cell34) <=> (cell90 = cell34)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8454,plain,
% 2.34/2.39 ((Y!0 = cell34) <=> (cell34 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8453, 8452])).
% 2.34/2.39 tff(8455,plain,
% 2.34/2.39 ((cell34 = cell90) <=> (Y!0 = cell34)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8454])).
% 2.34/2.39 tff(8456,plain,
% 2.34/2.39 ((~(cell34 = cell90)) <=> (~(Y!0 = cell34))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8455])).
% 2.34/2.39 tff(8457,plain,
% 2.34/2.39 ((~(cell34 = cell90)) <=> (~(cell34 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8458,axiom,(~(cell34 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49221')).
% 2.34/2.39 tff(8459,plain,
% 2.34/2.39 (~(cell34 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 2.34/2.39 tff(8460,plain,
% 2.34/2.39 (~(Y!0 = cell34)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8459, 8456])).
% 2.34/2.39 tff(8461,plain,
% 2.34/2.39 (((~(X!1 = cell35)) | (~(Y!0 = cell34))) | (Y!0 = cell34)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8462,plain,
% 2.34/2.39 ((~(X!1 = cell35)) | (~(Y!0 = cell34))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8461, 8460])).
% 2.34/2.39 tff(8463,plain,
% 2.34/2.39 ((cell90 = cell35) <=> (cell35 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8464,plain,
% 2.34/2.39 ((Y!0 = cell35) <=> (cell90 = cell35)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8465,plain,
% 2.34/2.39 ((Y!0 = cell35) <=> (cell35 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8464, 8463])).
% 2.34/2.39 tff(8466,plain,
% 2.34/2.39 ((cell35 = cell90) <=> (Y!0 = cell35)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8465])).
% 2.34/2.39 tff(8467,plain,
% 2.34/2.39 ((~(cell35 = cell90)) <=> (~(Y!0 = cell35))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8466])).
% 2.34/2.39 tff(8468,plain,
% 2.34/2.39 ((~(cell35 = cell90)) <=> (~(cell35 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8469,axiom,(~(cell35 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49183')).
% 2.34/2.39 tff(8470,plain,
% 2.34/2.39 (~(cell35 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8469, 8468])).
% 2.34/2.39 tff(8471,plain,
% 2.34/2.39 (~(Y!0 = cell35)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8470, 8467])).
% 2.34/2.39 tff(8472,plain,
% 2.34/2.39 (((~(X!1 = cell36)) | (~(Y!0 = cell35))) | (Y!0 = cell35)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8473,plain,
% 2.34/2.39 ((~(X!1 = cell36)) | (~(Y!0 = cell35))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8472, 8471])).
% 2.34/2.39 tff(8474,plain,
% 2.34/2.39 ((cell90 = cell36) <=> (cell36 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8475,plain,
% 2.34/2.39 ((Y!0 = cell36) <=> (cell90 = cell36)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8476,plain,
% 2.34/2.39 ((Y!0 = cell36) <=> (cell36 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8475, 8474])).
% 2.34/2.39 tff(8477,plain,
% 2.34/2.39 ((cell36 = cell90) <=> (Y!0 = cell36)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8476])).
% 2.34/2.39 tff(8478,plain,
% 2.34/2.39 ((~(cell36 = cell90)) <=> (~(Y!0 = cell36))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8477])).
% 2.34/2.39 tff(8479,plain,
% 2.34/2.39 ((~(cell36 = cell90)) <=> (~(cell36 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8480,axiom,(~(cell36 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49144')).
% 2.34/2.39 tff(8481,plain,
% 2.34/2.39 (~(cell36 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 2.34/2.39 tff(8482,plain,
% 2.34/2.39 (~(Y!0 = cell36)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8481, 8478])).
% 2.34/2.39 tff(8483,plain,
% 2.34/2.39 (((~(X!1 = cell37)) | (~(Y!0 = cell36))) | (Y!0 = cell36)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8484,plain,
% 2.34/2.39 ((~(X!1 = cell37)) | (~(Y!0 = cell36))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8483, 8482])).
% 2.34/2.39 tff(8485,plain,
% 2.34/2.39 ((cell90 = cell37) <=> (cell37 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8486,plain,
% 2.34/2.39 ((Y!0 = cell37) <=> (cell90 = cell37)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8487,plain,
% 2.34/2.39 ((Y!0 = cell37) <=> (cell37 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8486, 8485])).
% 2.34/2.39 tff(8488,plain,
% 2.34/2.39 ((cell37 = cell90) <=> (Y!0 = cell37)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8487])).
% 2.34/2.39 tff(8489,plain,
% 2.34/2.39 ((~(cell37 = cell90)) <=> (~(Y!0 = cell37))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8488])).
% 2.34/2.39 tff(8490,plain,
% 2.34/2.39 ((~(cell37 = cell90)) <=> (~(cell37 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8491,axiom,(~(cell37 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49104')).
% 2.34/2.39 tff(8492,plain,
% 2.34/2.39 (~(cell37 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 2.34/2.39 tff(8493,plain,
% 2.34/2.39 (~(Y!0 = cell37)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8492, 8489])).
% 2.34/2.39 tff(8494,plain,
% 2.34/2.39 (((~(X!1 = cell38)) | (~(Y!0 = cell37))) | (Y!0 = cell37)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8495,plain,
% 2.34/2.39 ((~(X!1 = cell38)) | (~(Y!0 = cell37))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8494, 8493])).
% 2.34/2.39 tff(8496,plain,
% 2.34/2.39 ((cell90 = cell38) <=> (cell38 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8497,plain,
% 2.34/2.39 ((Y!0 = cell38) <=> (cell90 = cell38)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8498,plain,
% 2.34/2.39 ((Y!0 = cell38) <=> (cell38 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8497, 8496])).
% 2.34/2.39 tff(8499,plain,
% 2.34/2.39 ((cell38 = cell90) <=> (Y!0 = cell38)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8498])).
% 2.34/2.39 tff(8500,plain,
% 2.34/2.39 ((~(cell38 = cell90)) <=> (~(Y!0 = cell38))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8499])).
% 2.34/2.39 tff(8501,plain,
% 2.34/2.39 ((~(cell38 = cell90)) <=> (~(cell38 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8502,axiom,(~(cell38 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49063')).
% 2.34/2.39 tff(8503,plain,
% 2.34/2.39 (~(cell38 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8502, 8501])).
% 2.34/2.39 tff(8504,plain,
% 2.34/2.39 (~(Y!0 = cell38)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8503, 8500])).
% 2.34/2.39 tff(8505,plain,
% 2.34/2.39 (((~(X!1 = cell39)) | (~(Y!0 = cell38))) | (Y!0 = cell38)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8506,plain,
% 2.34/2.39 ((~(X!1 = cell39)) | (~(Y!0 = cell38))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8505, 8504])).
% 2.34/2.39 tff(8507,plain,
% 2.34/2.39 ((cell90 = cell39) <=> (cell39 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8508,plain,
% 2.34/2.39 ((Y!0 = cell39) <=> (cell90 = cell39)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8509,plain,
% 2.34/2.39 ((Y!0 = cell39) <=> (cell39 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8508, 8507])).
% 2.34/2.39 tff(8510,plain,
% 2.34/2.39 ((cell39 = cell90) <=> (Y!0 = cell39)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8509])).
% 2.34/2.39 tff(8511,plain,
% 2.34/2.39 ((~(cell39 = cell90)) <=> (~(Y!0 = cell39))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8510])).
% 2.34/2.39 tff(8512,plain,
% 2.34/2.39 ((~(cell39 = cell90)) <=> (~(cell39 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8513,axiom,(~(cell39 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49021')).
% 2.34/2.39 tff(8514,plain,
% 2.34/2.39 (~(cell39 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 2.34/2.39 tff(8515,plain,
% 2.34/2.39 (~(Y!0 = cell39)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8514, 8511])).
% 2.34/2.39 tff(8516,plain,
% 2.34/2.39 (((~(X!1 = cell40)) | (~(Y!0 = cell39))) | (Y!0 = cell39)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8517,plain,
% 2.34/2.39 ((~(X!1 = cell40)) | (~(Y!0 = cell39))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8516, 8515])).
% 2.34/2.39 tff(8518,plain,
% 2.34/2.39 ((cell90 = cell41) <=> (cell41 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8519,plain,
% 2.34/2.39 ((Y!0 = cell41) <=> (cell90 = cell41)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8520,plain,
% 2.34/2.39 ((Y!0 = cell41) <=> (cell41 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8519, 8518])).
% 2.34/2.39 tff(8521,plain,
% 2.34/2.39 ((cell41 = cell90) <=> (Y!0 = cell41)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8520])).
% 2.34/2.39 tff(8522,plain,
% 2.34/2.39 ((~(cell41 = cell90)) <=> (~(Y!0 = cell41))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8521])).
% 2.34/2.39 tff(8523,plain,
% 2.34/2.39 ((~(cell41 = cell90)) <=> (~(cell41 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8524,axiom,(~(cell41 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48889')).
% 2.34/2.39 tff(8525,plain,
% 2.34/2.39 (~(cell41 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8524, 8523])).
% 2.34/2.39 tff(8526,plain,
% 2.34/2.39 (~(Y!0 = cell41)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8525, 8522])).
% 2.34/2.39 tff(8527,plain,
% 2.34/2.39 (((~(X!1 = cell42)) | (~(Y!0 = cell41))) | (Y!0 = cell41)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8528,plain,
% 2.34/2.39 ((~(X!1 = cell42)) | (~(Y!0 = cell41))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8527, 8526])).
% 2.34/2.39 tff(8529,plain,
% 2.34/2.39 ((cell90 = cell42) <=> (cell42 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8530,plain,
% 2.34/2.39 ((Y!0 = cell42) <=> (cell90 = cell42)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8531,plain,
% 2.34/2.39 ((Y!0 = cell42) <=> (cell42 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8530, 8529])).
% 2.34/2.39 tff(8532,plain,
% 2.34/2.39 ((cell42 = cell90) <=> (Y!0 = cell42)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8531])).
% 2.34/2.39 tff(8533,plain,
% 2.34/2.39 ((~(cell42 = cell90)) <=> (~(Y!0 = cell42))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8532])).
% 2.34/2.39 tff(8534,plain,
% 2.34/2.39 ((~(cell42 = cell90)) <=> (~(cell42 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8535,axiom,(~(cell42 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48934')).
% 2.34/2.39 tff(8536,plain,
% 2.34/2.39 (~(cell42 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8535, 8534])).
% 2.34/2.39 tff(8537,plain,
% 2.34/2.39 (~(Y!0 = cell42)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8536, 8533])).
% 2.34/2.39 tff(8538,plain,
% 2.34/2.39 (((~(X!1 = cell43)) | (~(Y!0 = cell42))) | (Y!0 = cell42)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8539,plain,
% 2.34/2.39 ((~(X!1 = cell43)) | (~(Y!0 = cell42))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8538, 8537])).
% 2.34/2.39 tff(8540,plain,
% 2.34/2.39 ((cell90 = cell43) <=> (cell43 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8541,plain,
% 2.34/2.39 ((Y!0 = cell43) <=> (cell90 = cell43)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8542,plain,
% 2.34/2.39 ((Y!0 = cell43) <=> (cell43 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8541, 8540])).
% 2.34/2.39 tff(8543,plain,
% 2.34/2.39 ((cell43 = cell90) <=> (Y!0 = cell43)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8542])).
% 2.34/2.39 tff(8544,plain,
% 2.34/2.39 ((~(cell43 = cell90)) <=> (~(Y!0 = cell43))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8543])).
% 2.34/2.39 tff(8545,plain,
% 2.34/2.39 ((~(cell43 = cell90)) <=> (~(cell43 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8546,axiom,(~(cell43 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48843')).
% 2.34/2.39 tff(8547,plain,
% 2.34/2.39 (~(cell43 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 2.34/2.39 tff(8548,plain,
% 2.34/2.39 (~(Y!0 = cell43)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8547, 8544])).
% 2.34/2.39 tff(8549,plain,
% 2.34/2.39 (((~(X!1 = cell44)) | (~(Y!0 = cell43))) | (Y!0 = cell43)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8550,plain,
% 2.34/2.39 ((~(X!1 = cell44)) | (~(Y!0 = cell43))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8549, 8548])).
% 2.34/2.39 tff(8551,plain,
% 2.34/2.39 ((cell90 = cell44) <=> (cell44 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8552,plain,
% 2.34/2.39 ((Y!0 = cell44) <=> (cell90 = cell44)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8553,plain,
% 2.34/2.39 ((Y!0 = cell44) <=> (cell44 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8552, 8551])).
% 2.34/2.39 tff(8554,plain,
% 2.34/2.39 ((cell44 = cell90) <=> (Y!0 = cell44)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8553])).
% 2.34/2.39 tff(8555,plain,
% 2.34/2.39 ((~(cell44 = cell90)) <=> (~(Y!0 = cell44))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8554])).
% 2.34/2.39 tff(8556,plain,
% 2.34/2.39 ((~(cell44 = cell90)) <=> (~(cell44 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8557,axiom,(~(cell44 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48796')).
% 2.34/2.39 tff(8558,plain,
% 2.34/2.39 (~(cell44 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8557, 8556])).
% 2.34/2.39 tff(8559,plain,
% 2.34/2.39 (~(Y!0 = cell44)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8558, 8555])).
% 2.34/2.39 tff(8560,plain,
% 2.34/2.39 (((~(X!1 = cell45)) | (~(Y!0 = cell44))) | (Y!0 = cell44)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8561,plain,
% 2.34/2.39 ((~(X!1 = cell45)) | (~(Y!0 = cell44))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8560, 8559])).
% 2.34/2.39 tff(8562,plain,
% 2.34/2.39 ((cell90 = cell45) <=> (cell45 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8563,plain,
% 2.34/2.39 ((Y!0 = cell45) <=> (cell90 = cell45)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8564,plain,
% 2.34/2.39 ((Y!0 = cell45) <=> (cell45 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8563, 8562])).
% 2.34/2.39 tff(8565,plain,
% 2.34/2.39 ((cell45 = cell90) <=> (Y!0 = cell45)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8564])).
% 2.34/2.39 tff(8566,plain,
% 2.34/2.39 ((~(cell45 = cell90)) <=> (~(Y!0 = cell45))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8565])).
% 2.34/2.39 tff(8567,plain,
% 2.34/2.39 ((~(cell45 = cell90)) <=> (~(cell45 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8568,axiom,(~(cell45 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48748')).
% 2.34/2.39 tff(8569,plain,
% 2.34/2.39 (~(cell45 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8568, 8567])).
% 2.34/2.39 tff(8570,plain,
% 2.34/2.39 (~(Y!0 = cell45)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8569, 8566])).
% 2.34/2.39 tff(8571,plain,
% 2.34/2.39 (((~(X!1 = cell46)) | (~(Y!0 = cell45))) | (Y!0 = cell45)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8572,plain,
% 2.34/2.39 ((~(X!1 = cell46)) | (~(Y!0 = cell45))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8571, 8570])).
% 2.34/2.39 tff(8573,plain,
% 2.34/2.39 ((cell90 = cell46) <=> (cell46 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8574,plain,
% 2.34/2.39 ((Y!0 = cell46) <=> (cell90 = cell46)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8575,plain,
% 2.34/2.39 ((Y!0 = cell46) <=> (cell46 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8574, 8573])).
% 2.34/2.39 tff(8576,plain,
% 2.34/2.39 ((cell46 = cell90) <=> (Y!0 = cell46)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8575])).
% 2.34/2.39 tff(8577,plain,
% 2.34/2.39 ((~(cell46 = cell90)) <=> (~(Y!0 = cell46))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8576])).
% 2.34/2.39 tff(8578,plain,
% 2.34/2.39 ((~(cell46 = cell90)) <=> (~(cell46 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8579,axiom,(~(cell46 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48699')).
% 2.34/2.39 tff(8580,plain,
% 2.34/2.39 (~(cell46 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8579, 8578])).
% 2.34/2.39 tff(8581,plain,
% 2.34/2.39 (~(Y!0 = cell46)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8580, 8577])).
% 2.34/2.39 tff(8582,plain,
% 2.34/2.39 (((~(X!1 = cell47)) | (~(Y!0 = cell46))) | (Y!0 = cell46)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8583,plain,
% 2.34/2.39 ((~(X!1 = cell47)) | (~(Y!0 = cell46))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8582, 8581])).
% 2.34/2.39 tff(8584,plain,
% 2.34/2.39 ((cell90 = cell47) <=> (cell47 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8585,plain,
% 2.34/2.39 ((Y!0 = cell47) <=> (cell90 = cell47)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8586,plain,
% 2.34/2.39 ((Y!0 = cell47) <=> (cell47 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8585, 8584])).
% 2.34/2.39 tff(8587,plain,
% 2.34/2.39 ((cell47 = cell90) <=> (Y!0 = cell47)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8586])).
% 2.34/2.39 tff(8588,plain,
% 2.34/2.39 ((~(cell47 = cell90)) <=> (~(Y!0 = cell47))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8587])).
% 2.34/2.39 tff(8589,plain,
% 2.34/2.39 ((~(cell47 = cell90)) <=> (~(cell47 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8590,axiom,(~(cell47 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48649')).
% 2.34/2.39 tff(8591,plain,
% 2.34/2.39 (~(cell47 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8590, 8589])).
% 2.34/2.39 tff(8592,plain,
% 2.34/2.39 (~(Y!0 = cell47)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8591, 8588])).
% 2.34/2.39 tff(8593,plain,
% 2.34/2.39 (((~(X!1 = cell48)) | (~(Y!0 = cell47))) | (Y!0 = cell47)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8594,plain,
% 2.34/2.39 ((~(X!1 = cell48)) | (~(Y!0 = cell47))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8593, 8592])).
% 2.34/2.39 tff(8595,plain,
% 2.34/2.39 ((cell90 = cell48) <=> (cell48 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8596,plain,
% 2.34/2.39 ((Y!0 = cell48) <=> (cell90 = cell48)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8597,plain,
% 2.34/2.39 ((Y!0 = cell48) <=> (cell48 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8596, 8595])).
% 2.34/2.39 tff(8598,plain,
% 2.34/2.39 ((cell48 = cell90) <=> (Y!0 = cell48)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8597])).
% 2.34/2.39 tff(8599,plain,
% 2.34/2.39 ((~(cell48 = cell90)) <=> (~(Y!0 = cell48))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8598])).
% 2.34/2.39 tff(8600,plain,
% 2.34/2.39 ((~(cell48 = cell90)) <=> (~(cell48 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8601,axiom,(~(cell48 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48598')).
% 2.34/2.39 tff(8602,plain,
% 2.34/2.39 (~(cell48 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8601, 8600])).
% 2.34/2.39 tff(8603,plain,
% 2.34/2.39 (~(Y!0 = cell48)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8602, 8599])).
% 2.34/2.39 tff(8604,plain,
% 2.34/2.39 (((~(X!1 = cell49)) | (~(Y!0 = cell48))) | (Y!0 = cell48)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8605,plain,
% 2.34/2.39 ((~(X!1 = cell49)) | (~(Y!0 = cell48))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8604, 8603])).
% 2.34/2.39 tff(8606,plain,
% 2.34/2.39 ((cell90 = cell49) <=> (cell49 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8607,plain,
% 2.34/2.39 ((Y!0 = cell49) <=> (cell90 = cell49)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8608,plain,
% 2.34/2.39 ((Y!0 = cell49) <=> (cell49 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8607, 8606])).
% 2.34/2.39 tff(8609,plain,
% 2.34/2.39 ((cell49 = cell90) <=> (Y!0 = cell49)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8608])).
% 2.34/2.39 tff(8610,plain,
% 2.34/2.39 ((~(cell49 = cell90)) <=> (~(Y!0 = cell49))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8609])).
% 2.34/2.39 tff(8611,plain,
% 2.34/2.39 ((~(cell49 = cell90)) <=> (~(cell49 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8612,axiom,(~(cell49 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48546')).
% 2.34/2.39 tff(8613,plain,
% 2.34/2.39 (~(cell49 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8612, 8611])).
% 2.34/2.39 tff(8614,plain,
% 2.34/2.39 (~(Y!0 = cell49)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8613, 8610])).
% 2.34/2.39 tff(8615,plain,
% 2.34/2.39 (((~(X!1 = cell50)) | (~(Y!0 = cell49))) | (Y!0 = cell49)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8616,plain,
% 2.34/2.39 ((~(X!1 = cell50)) | (~(Y!0 = cell49))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8615, 8614])).
% 2.34/2.39 tff(8617,plain,
% 2.34/2.39 ((cell90 = cell51) <=> (cell51 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8618,plain,
% 2.34/2.39 ((Y!0 = cell51) <=> (cell90 = cell51)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8619,plain,
% 2.34/2.39 ((Y!0 = cell51) <=> (cell51 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8618, 8617])).
% 2.34/2.39 tff(8620,plain,
% 2.34/2.39 ((cell51 = cell90) <=> (Y!0 = cell51)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8619])).
% 2.34/2.39 tff(8621,plain,
% 2.34/2.39 ((~(cell51 = cell90)) <=> (~(Y!0 = cell51))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8620])).
% 2.34/2.39 tff(8622,plain,
% 2.34/2.39 ((~(cell51 = cell90)) <=> (~(cell51 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8623,axiom,(~(cell51 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48384')).
% 2.34/2.39 tff(8624,plain,
% 2.34/2.39 (~(cell51 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 2.34/2.39 tff(8625,plain,
% 2.34/2.39 (~(Y!0 = cell51)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8624, 8621])).
% 2.34/2.39 tff(8626,plain,
% 2.34/2.39 (((~(X!1 = cell52)) | (~(Y!0 = cell51))) | (Y!0 = cell51)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8627,plain,
% 2.34/2.39 ((~(X!1 = cell52)) | (~(Y!0 = cell51))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8626, 8625])).
% 2.34/2.39 tff(8628,plain,
% 2.34/2.39 ((cell90 = cell52) <=> (cell52 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8629,plain,
% 2.34/2.39 ((Y!0 = cell52) <=> (cell90 = cell52)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8630,plain,
% 2.34/2.39 ((Y!0 = cell52) <=> (cell52 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8629, 8628])).
% 2.34/2.39 tff(8631,plain,
% 2.34/2.39 ((cell52 = cell90) <=> (Y!0 = cell52)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8630])).
% 2.34/2.39 tff(8632,plain,
% 2.34/2.39 ((~(cell52 = cell90)) <=> (~(Y!0 = cell52))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8631])).
% 2.34/2.39 tff(8633,plain,
% 2.34/2.39 ((~(cell52 = cell90)) <=> (~(cell52 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8634,axiom,(~(cell52 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48439')).
% 2.34/2.39 tff(8635,plain,
% 2.34/2.39 (~(cell52 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 2.34/2.39 tff(8636,plain,
% 2.34/2.39 (~(Y!0 = cell52)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8635, 8632])).
% 2.34/2.39 tff(8637,plain,
% 2.34/2.39 (((~(X!1 = cell53)) | (~(Y!0 = cell52))) | (Y!0 = cell52)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8638,plain,
% 2.34/2.39 ((~(X!1 = cell53)) | (~(Y!0 = cell52))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8637, 8636])).
% 2.34/2.39 tff(8639,plain,
% 2.34/2.39 ((cell90 = cell53) <=> (cell53 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8640,plain,
% 2.34/2.39 ((Y!0 = cell53) <=> (cell90 = cell53)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8641,plain,
% 2.34/2.39 ((Y!0 = cell53) <=> (cell53 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8640, 8639])).
% 2.34/2.39 tff(8642,plain,
% 2.34/2.39 ((cell53 = cell90) <=> (Y!0 = cell53)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8641])).
% 2.34/2.39 tff(8643,plain,
% 2.34/2.39 ((~(cell53 = cell90)) <=> (~(Y!0 = cell53))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8642])).
% 2.34/2.39 tff(8644,plain,
% 2.34/2.39 ((~(cell53 = cell90)) <=> (~(cell53 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8645,axiom,(~(cell53 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48328')).
% 2.34/2.39 tff(8646,plain,
% 2.34/2.39 (~(cell53 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8645, 8644])).
% 2.34/2.39 tff(8647,plain,
% 2.34/2.39 (~(Y!0 = cell53)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8646, 8643])).
% 2.34/2.39 tff(8648,plain,
% 2.34/2.39 (((~(X!1 = cell54)) | (~(Y!0 = cell53))) | (Y!0 = cell53)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8649,plain,
% 2.34/2.39 ((~(X!1 = cell54)) | (~(Y!0 = cell53))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8648, 8647])).
% 2.34/2.39 tff(8650,plain,
% 2.34/2.39 ((cell90 = cell54) <=> (cell54 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8651,plain,
% 2.34/2.39 ((Y!0 = cell54) <=> (cell90 = cell54)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8652,plain,
% 2.34/2.39 ((Y!0 = cell54) <=> (cell54 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8651, 8650])).
% 2.34/2.39 tff(8653,plain,
% 2.34/2.39 ((cell54 = cell90) <=> (Y!0 = cell54)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8652])).
% 2.34/2.39 tff(8654,plain,
% 2.34/2.39 ((~(cell54 = cell90)) <=> (~(Y!0 = cell54))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8653])).
% 2.34/2.39 tff(8655,plain,
% 2.34/2.39 ((~(cell54 = cell90)) <=> (~(cell54 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8656,axiom,(~(cell54 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48271')).
% 2.34/2.39 tff(8657,plain,
% 2.34/2.39 (~(cell54 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 2.34/2.39 tff(8658,plain,
% 2.34/2.39 (~(Y!0 = cell54)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8657, 8654])).
% 2.34/2.39 tff(8659,plain,
% 2.34/2.39 (((~(X!1 = cell55)) | (~(Y!0 = cell54))) | (Y!0 = cell54)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8660,plain,
% 2.34/2.39 ((~(X!1 = cell55)) | (~(Y!0 = cell54))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8659, 8658])).
% 2.34/2.39 tff(8661,plain,
% 2.34/2.39 ((cell90 = cell55) <=> (cell55 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8662,plain,
% 2.34/2.39 ((Y!0 = cell55) <=> (cell90 = cell55)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8663,plain,
% 2.34/2.39 ((Y!0 = cell55) <=> (cell55 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8662, 8661])).
% 2.34/2.39 tff(8664,plain,
% 2.34/2.39 ((cell55 = cell90) <=> (Y!0 = cell55)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8663])).
% 2.34/2.39 tff(8665,plain,
% 2.34/2.39 ((~(cell55 = cell90)) <=> (~(Y!0 = cell55))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8664])).
% 2.34/2.39 tff(8666,plain,
% 2.34/2.39 ((~(cell55 = cell90)) <=> (~(cell55 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8667,axiom,(~(cell55 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48213')).
% 2.34/2.39 tff(8668,plain,
% 2.34/2.39 (~(cell55 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 2.34/2.39 tff(8669,plain,
% 2.34/2.39 (~(Y!0 = cell55)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8668, 8665])).
% 2.34/2.39 tff(8670,plain,
% 2.34/2.39 (((~(X!1 = cell56)) | (~(Y!0 = cell55))) | (Y!0 = cell55)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8671,plain,
% 2.34/2.39 ((~(X!1 = cell56)) | (~(Y!0 = cell55))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8670, 8669])).
% 2.34/2.39 tff(8672,plain,
% 2.34/2.39 ((cell90 = cell56) <=> (cell56 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8673,plain,
% 2.34/2.39 ((Y!0 = cell56) <=> (cell90 = cell56)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8674,plain,
% 2.34/2.39 ((Y!0 = cell56) <=> (cell56 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8673, 8672])).
% 2.34/2.39 tff(8675,plain,
% 2.34/2.39 ((cell56 = cell90) <=> (Y!0 = cell56)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8674])).
% 2.34/2.39 tff(8676,plain,
% 2.34/2.39 ((~(cell56 = cell90)) <=> (~(Y!0 = cell56))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8675])).
% 2.34/2.39 tff(8677,plain,
% 2.34/2.39 ((~(cell56 = cell90)) <=> (~(cell56 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8678,axiom,(~(cell56 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48154')).
% 2.34/2.39 tff(8679,plain,
% 2.34/2.39 (~(cell56 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 2.34/2.39 tff(8680,plain,
% 2.34/2.39 (~(Y!0 = cell56)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8679, 8676])).
% 2.34/2.39 tff(8681,plain,
% 2.34/2.39 (((~(X!1 = cell57)) | (~(Y!0 = cell56))) | (Y!0 = cell56)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8682,plain,
% 2.34/2.39 ((~(X!1 = cell57)) | (~(Y!0 = cell56))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8681, 8680])).
% 2.34/2.39 tff(8683,plain,
% 2.34/2.39 ((cell90 = cell57) <=> (cell57 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8684,plain,
% 2.34/2.39 ((Y!0 = cell57) <=> (cell90 = cell57)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8685,plain,
% 2.34/2.39 ((Y!0 = cell57) <=> (cell57 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8684, 8683])).
% 2.34/2.39 tff(8686,plain,
% 2.34/2.39 ((cell57 = cell90) <=> (Y!0 = cell57)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8685])).
% 2.34/2.39 tff(8687,plain,
% 2.34/2.39 ((~(cell57 = cell90)) <=> (~(Y!0 = cell57))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8686])).
% 2.34/2.39 tff(8688,plain,
% 2.34/2.39 ((~(cell57 = cell90)) <=> (~(cell57 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8689,axiom,(~(cell57 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48094')).
% 2.34/2.39 tff(8690,plain,
% 2.34/2.39 (~(cell57 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8689, 8688])).
% 2.34/2.39 tff(8691,plain,
% 2.34/2.39 (~(Y!0 = cell57)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8690, 8687])).
% 2.34/2.39 tff(8692,plain,
% 2.34/2.39 (((~(X!1 = cell58)) | (~(Y!0 = cell57))) | (Y!0 = cell57)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8693,plain,
% 2.34/2.39 ((~(X!1 = cell58)) | (~(Y!0 = cell57))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8692, 8691])).
% 2.34/2.39 tff(8694,plain,
% 2.34/2.39 ((cell90 = cell58) <=> (cell58 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8695,plain,
% 2.34/2.39 ((Y!0 = cell58) <=> (cell90 = cell58)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8696,plain,
% 2.34/2.39 ((Y!0 = cell58) <=> (cell58 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8695, 8694])).
% 2.34/2.39 tff(8697,plain,
% 2.34/2.39 ((cell58 = cell90) <=> (Y!0 = cell58)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8696])).
% 2.34/2.39 tff(8698,plain,
% 2.34/2.39 ((~(cell58 = cell90)) <=> (~(Y!0 = cell58))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8697])).
% 2.34/2.39 tff(8699,plain,
% 2.34/2.39 ((~(cell58 = cell90)) <=> (~(cell58 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8700,axiom,(~(cell58 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48033')).
% 2.34/2.39 tff(8701,plain,
% 2.34/2.39 (~(cell58 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8700, 8699])).
% 2.34/2.39 tff(8702,plain,
% 2.34/2.39 (~(Y!0 = cell58)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8701, 8698])).
% 2.34/2.39 tff(8703,plain,
% 2.34/2.39 (((~(X!1 = cell59)) | (~(Y!0 = cell58))) | (Y!0 = cell58)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8704,plain,
% 2.34/2.39 ((~(X!1 = cell59)) | (~(Y!0 = cell58))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8703, 8702])).
% 2.34/2.39 tff(8705,plain,
% 2.34/2.39 ((cell90 = cell59) <=> (cell59 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8706,plain,
% 2.34/2.39 ((Y!0 = cell59) <=> (cell90 = cell59)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8707,plain,
% 2.34/2.39 ((Y!0 = cell59) <=> (cell59 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8706, 8705])).
% 2.34/2.39 tff(8708,plain,
% 2.34/2.39 ((cell59 = cell90) <=> (Y!0 = cell59)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8707])).
% 2.34/2.39 tff(8709,plain,
% 2.34/2.39 ((~(cell59 = cell90)) <=> (~(Y!0 = cell59))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8708])).
% 2.34/2.39 tff(8710,plain,
% 2.34/2.39 ((~(cell59 = cell90)) <=> (~(cell59 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8711,axiom,(~(cell59 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47971')).
% 2.34/2.39 tff(8712,plain,
% 2.34/2.39 (~(cell59 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8711, 8710])).
% 2.34/2.39 tff(8713,plain,
% 2.34/2.39 (~(Y!0 = cell59)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8712, 8709])).
% 2.34/2.39 tff(8714,plain,
% 2.34/2.39 (((~(X!1 = cell60)) | (~(Y!0 = cell59))) | (Y!0 = cell59)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8715,plain,
% 2.34/2.39 ((~(X!1 = cell60)) | (~(Y!0 = cell59))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8714, 8713])).
% 2.34/2.39 tff(8716,plain,
% 2.34/2.39 ((cell90 = cell61) <=> (cell61 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8717,plain,
% 2.34/2.39 ((Y!0 = cell61) <=> (cell90 = cell61)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8718,plain,
% 2.34/2.39 ((Y!0 = cell61) <=> (cell61 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8717, 8716])).
% 2.34/2.39 tff(8719,plain,
% 2.34/2.39 ((cell61 = cell90) <=> (Y!0 = cell61)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8718])).
% 2.34/2.39 tff(8720,plain,
% 2.34/2.39 ((~(cell61 = cell90)) <=> (~(Y!0 = cell61))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8719])).
% 2.34/2.39 tff(8721,plain,
% 2.34/2.39 ((~(cell61 = cell90)) <=> (~(cell61 = cell90))),
% 2.34/2.39 inference(rewrite,[status(thm)],[])).
% 2.34/2.39 tff(8722,axiom,(~(cell61 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47779')).
% 2.34/2.39 tff(8723,plain,
% 2.34/2.39 (~(cell61 = cell90)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8722, 8721])).
% 2.34/2.39 tff(8724,plain,
% 2.34/2.39 (~(Y!0 = cell61)),
% 2.34/2.39 inference(modus_ponens,[status(thm)],[8723, 8720])).
% 2.34/2.39 tff(8725,plain,
% 2.34/2.39 (((~(X!1 = cell62)) | (~(Y!0 = cell61))) | (Y!0 = cell61)),
% 2.34/2.39 inference(tautology,[status(thm)],[])).
% 2.34/2.39 tff(8726,plain,
% 2.34/2.39 ((~(X!1 = cell62)) | (~(Y!0 = cell61))),
% 2.34/2.39 inference(unit_resolution,[status(thm)],[8725, 8724])).
% 2.34/2.39 tff(8727,plain,
% 2.34/2.39 ((cell90 = cell62) <=> (cell62 = cell90)),
% 2.34/2.39 inference(commutativity,[status(thm)],[])).
% 2.34/2.39 tff(8728,plain,
% 2.34/2.39 ((Y!0 = cell62) <=> (cell90 = cell62)),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.39 tff(8729,plain,
% 2.34/2.39 ((Y!0 = cell62) <=> (cell62 = cell90)),
% 2.34/2.39 inference(transitivity,[status(thm)],[8728, 8727])).
% 2.34/2.39 tff(8730,plain,
% 2.34/2.39 ((cell62 = cell90) <=> (Y!0 = cell62)),
% 2.34/2.39 inference(symmetry,[status(thm)],[8729])).
% 2.34/2.39 tff(8731,plain,
% 2.34/2.39 ((~(cell62 = cell90)) <=> (~(Y!0 = cell62))),
% 2.34/2.39 inference(monotonicity,[status(thm)],[8730])).
% 2.34/2.39 tff(8732,plain,
% 2.34/2.39 ((~(cell62 = cell90)) <=> (~(cell62 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8733,axiom,(~(cell62 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47844')).
% 2.34/2.40 tff(8734,plain,
% 2.34/2.40 (~(cell62 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 2.34/2.40 tff(8735,plain,
% 2.34/2.40 (~(Y!0 = cell62)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8734, 8731])).
% 2.34/2.40 tff(8736,plain,
% 2.34/2.40 (((~(X!1 = cell63)) | (~(Y!0 = cell62))) | (Y!0 = cell62)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8737,plain,
% 2.34/2.40 ((~(X!1 = cell63)) | (~(Y!0 = cell62))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8736, 8735])).
% 2.34/2.40 tff(8738,plain,
% 2.34/2.40 ((cell90 = cell63) <=> (cell63 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8739,plain,
% 2.34/2.40 ((Y!0 = cell63) <=> (cell90 = cell63)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8740,plain,
% 2.34/2.40 ((Y!0 = cell63) <=> (cell63 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8739, 8738])).
% 2.34/2.40 tff(8741,plain,
% 2.34/2.40 ((cell63 = cell90) <=> (Y!0 = cell63)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8740])).
% 2.34/2.40 tff(8742,plain,
% 2.34/2.40 ((~(cell63 = cell90)) <=> (~(Y!0 = cell63))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8741])).
% 2.34/2.40 tff(8743,plain,
% 2.34/2.40 ((~(cell63 = cell90)) <=> (~(cell63 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8744,axiom,(~(cell63 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47713')).
% 2.34/2.40 tff(8745,plain,
% 2.34/2.40 (~(cell63 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8744, 8743])).
% 2.34/2.40 tff(8746,plain,
% 2.34/2.40 (~(Y!0 = cell63)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8745, 8742])).
% 2.34/2.40 tff(8747,plain,
% 2.34/2.40 (((~(X!1 = cell64)) | (~(Y!0 = cell63))) | (Y!0 = cell63)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8748,plain,
% 2.34/2.40 ((~(X!1 = cell64)) | (~(Y!0 = cell63))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8747, 8746])).
% 2.34/2.40 tff(8749,plain,
% 2.34/2.40 ((cell90 = cell64) <=> (cell64 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8750,plain,
% 2.34/2.40 ((Y!0 = cell64) <=> (cell90 = cell64)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8751,plain,
% 2.34/2.40 ((Y!0 = cell64) <=> (cell64 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8750, 8749])).
% 2.34/2.40 tff(8752,plain,
% 2.34/2.40 ((cell64 = cell90) <=> (Y!0 = cell64)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8751])).
% 2.34/2.40 tff(8753,plain,
% 2.34/2.40 ((~(cell64 = cell90)) <=> (~(Y!0 = cell64))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8752])).
% 2.34/2.40 tff(8754,plain,
% 2.34/2.40 ((~(cell64 = cell90)) <=> (~(cell64 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8755,axiom,(~(cell64 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47646')).
% 2.34/2.40 tff(8756,plain,
% 2.34/2.40 (~(cell64 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 2.34/2.40 tff(8757,plain,
% 2.34/2.40 (~(Y!0 = cell64)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8756, 8753])).
% 2.34/2.40 tff(8758,plain,
% 2.34/2.40 (((~(X!1 = cell65)) | (~(Y!0 = cell64))) | (Y!0 = cell64)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8759,plain,
% 2.34/2.40 ((~(X!1 = cell65)) | (~(Y!0 = cell64))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8758, 8757])).
% 2.34/2.40 tff(8760,plain,
% 2.34/2.40 ((cell90 = cell65) <=> (cell65 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8761,plain,
% 2.34/2.40 ((Y!0 = cell65) <=> (cell90 = cell65)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8762,plain,
% 2.34/2.40 ((Y!0 = cell65) <=> (cell65 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8761, 8760])).
% 2.34/2.40 tff(8763,plain,
% 2.34/2.40 ((cell65 = cell90) <=> (Y!0 = cell65)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8762])).
% 2.34/2.40 tff(8764,plain,
% 2.34/2.40 ((~(cell65 = cell90)) <=> (~(Y!0 = cell65))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8763])).
% 2.34/2.40 tff(8765,plain,
% 2.34/2.40 ((~(cell65 = cell90)) <=> (~(cell65 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8766,axiom,(~(cell65 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47578')).
% 2.34/2.40 tff(8767,plain,
% 2.34/2.40 (~(cell65 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8766, 8765])).
% 2.34/2.40 tff(8768,plain,
% 2.34/2.40 (~(Y!0 = cell65)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8767, 8764])).
% 2.34/2.40 tff(8769,plain,
% 2.34/2.40 (((~(X!1 = cell66)) | (~(Y!0 = cell65))) | (Y!0 = cell65)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8770,plain,
% 2.34/2.40 ((~(X!1 = cell66)) | (~(Y!0 = cell65))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8769, 8768])).
% 2.34/2.40 tff(8771,plain,
% 2.34/2.40 ((cell90 = cell66) <=> (cell66 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8772,plain,
% 2.34/2.40 ((Y!0 = cell66) <=> (cell90 = cell66)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8773,plain,
% 2.34/2.40 ((Y!0 = cell66) <=> (cell66 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8772, 8771])).
% 2.34/2.40 tff(8774,plain,
% 2.34/2.40 ((cell66 = cell90) <=> (Y!0 = cell66)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8773])).
% 2.34/2.40 tff(8775,plain,
% 2.34/2.40 ((~(cell66 = cell90)) <=> (~(Y!0 = cell66))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8774])).
% 2.34/2.40 tff(8776,plain,
% 2.34/2.40 ((~(cell66 = cell90)) <=> (~(cell66 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8777,axiom,(~(cell66 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47509')).
% 2.34/2.40 tff(8778,plain,
% 2.34/2.40 (~(cell66 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 2.34/2.40 tff(8779,plain,
% 2.34/2.40 (~(Y!0 = cell66)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8778, 8775])).
% 2.34/2.40 tff(8780,plain,
% 2.34/2.40 (((~(X!1 = cell67)) | (~(Y!0 = cell66))) | (Y!0 = cell66)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8781,plain,
% 2.34/2.40 ((~(X!1 = cell67)) | (~(Y!0 = cell66))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8780, 8779])).
% 2.34/2.40 tff(8782,plain,
% 2.34/2.40 ((cell90 = cell67) <=> (cell67 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8783,plain,
% 2.34/2.40 ((Y!0 = cell67) <=> (cell90 = cell67)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8784,plain,
% 2.34/2.40 ((Y!0 = cell67) <=> (cell67 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8783, 8782])).
% 2.34/2.40 tff(8785,plain,
% 2.34/2.40 ((cell67 = cell90) <=> (Y!0 = cell67)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8784])).
% 2.34/2.40 tff(8786,plain,
% 2.34/2.40 ((~(cell67 = cell90)) <=> (~(Y!0 = cell67))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8785])).
% 2.34/2.40 tff(8787,plain,
% 2.34/2.40 ((~(cell67 = cell90)) <=> (~(cell67 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8788,axiom,(~(cell67 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47439')).
% 2.34/2.40 tff(8789,plain,
% 2.34/2.40 (~(cell67 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8788, 8787])).
% 2.34/2.40 tff(8790,plain,
% 2.34/2.40 (~(Y!0 = cell67)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8789, 8786])).
% 2.34/2.40 tff(8791,plain,
% 2.34/2.40 (((~(X!1 = cell68)) | (~(Y!0 = cell67))) | (Y!0 = cell67)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8792,plain,
% 2.34/2.40 ((~(X!1 = cell68)) | (~(Y!0 = cell67))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8791, 8790])).
% 2.34/2.40 tff(8793,plain,
% 2.34/2.40 (((~(X!1 = cell69)) | (~(Y!0 = cell68))) | (X!1 = cell69)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8794,plain,
% 2.34/2.40 ((~(X!1 = cell69)) | (~(Y!0 = cell68))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8793, 1218])).
% 2.34/2.40 tff(8795,plain,
% 2.34/2.40 ((cell90 = cell69) <=> (cell69 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8796,plain,
% 2.34/2.40 ((Y!0 = cell69) <=> (cell90 = cell69)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8797,plain,
% 2.34/2.40 ((Y!0 = cell69) <=> (cell69 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8796, 8795])).
% 2.34/2.40 tff(8798,plain,
% 2.34/2.40 ((cell69 = cell90) <=> (Y!0 = cell69)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8797])).
% 2.34/2.40 tff(8799,plain,
% 2.34/2.40 ((~(cell69 = cell90)) <=> (~(Y!0 = cell69))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8798])).
% 2.34/2.40 tff(8800,plain,
% 2.34/2.40 ((~(cell69 = cell90)) <=> (~(cell69 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8801,axiom,(~(cell69 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47296')).
% 2.34/2.40 tff(8802,plain,
% 2.34/2.40 (~(cell69 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 2.34/2.40 tff(8803,plain,
% 2.34/2.40 (~(Y!0 = cell69)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8802, 8799])).
% 2.34/2.40 tff(8804,plain,
% 2.34/2.40 (((~(X!1 = cell70)) | (~(Y!0 = cell69))) | (Y!0 = cell69)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8805,plain,
% 2.34/2.40 ((~(X!1 = cell70)) | (~(Y!0 = cell69))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8804, 8803])).
% 2.34/2.40 tff(8806,plain,
% 2.34/2.40 ((cell90 = cell71) <=> (cell71 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8807,plain,
% 2.34/2.40 ((Y!0 = cell71) <=> (cell90 = cell71)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8808,plain,
% 2.34/2.40 ((Y!0 = cell71) <=> (cell71 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8807, 8806])).
% 2.34/2.40 tff(8809,plain,
% 2.34/2.40 ((cell71 = cell90) <=> (Y!0 = cell71)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8808])).
% 2.34/2.40 tff(8810,plain,
% 2.34/2.40 ((~(cell71 = cell90)) <=> (~(Y!0 = cell71))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8809])).
% 2.34/2.40 tff(8811,plain,
% 2.34/2.40 ((~(cell71 = cell90)) <=> (~(cell71 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8812,axiom,(~(cell71 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47074')).
% 2.34/2.40 tff(8813,plain,
% 2.34/2.40 (~(cell71 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 2.34/2.40 tff(8814,plain,
% 2.34/2.40 (~(Y!0 = cell71)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8813, 8810])).
% 2.34/2.40 tff(8815,plain,
% 2.34/2.40 (((~(X!1 = cell72)) | (~(Y!0 = cell71))) | (Y!0 = cell71)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8816,plain,
% 2.34/2.40 ((~(X!1 = cell72)) | (~(Y!0 = cell71))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8815, 8814])).
% 2.34/2.40 tff(8817,plain,
% 2.34/2.40 ((cell90 = cell72) <=> (cell72 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8818,plain,
% 2.34/2.40 ((Y!0 = cell72) <=> (cell90 = cell72)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8819,plain,
% 2.34/2.40 ((Y!0 = cell72) <=> (cell72 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8818, 8817])).
% 2.34/2.40 tff(8820,plain,
% 2.34/2.40 ((cell72 = cell90) <=> (Y!0 = cell72)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8819])).
% 2.34/2.40 tff(8821,plain,
% 2.34/2.40 ((~(cell72 = cell90)) <=> (~(Y!0 = cell72))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8820])).
% 2.34/2.40 tff(8822,plain,
% 2.34/2.40 ((~(cell72 = cell90)) <=> (~(cell72 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8823,axiom,(~(cell72 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47149')).
% 2.34/2.40 tff(8824,plain,
% 2.34/2.40 (~(cell72 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 2.34/2.40 tff(8825,plain,
% 2.34/2.40 (~(Y!0 = cell72)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8824, 8821])).
% 2.34/2.40 tff(8826,plain,
% 2.34/2.40 (((~(X!1 = cell73)) | (~(Y!0 = cell72))) | (Y!0 = cell72)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8827,plain,
% 2.34/2.40 ((~(X!1 = cell73)) | (~(Y!0 = cell72))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8826, 8825])).
% 2.34/2.40 tff(8828,plain,
% 2.34/2.40 ((cell90 = cell73) <=> (cell73 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8829,plain,
% 2.34/2.40 ((Y!0 = cell73) <=> (cell90 = cell73)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8830,plain,
% 2.34/2.40 ((Y!0 = cell73) <=> (cell73 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8829, 8828])).
% 2.34/2.40 tff(8831,plain,
% 2.34/2.40 ((cell73 = cell90) <=> (Y!0 = cell73)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8830])).
% 2.34/2.40 tff(8832,plain,
% 2.34/2.40 ((~(cell73 = cell90)) <=> (~(Y!0 = cell73))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8831])).
% 2.34/2.40 tff(8833,plain,
% 2.34/2.40 ((~(cell73 = cell90)) <=> (~(cell73 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8834,axiom,(~(cell73 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46998')).
% 2.34/2.40 tff(8835,plain,
% 2.34/2.40 (~(cell73 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8834, 8833])).
% 2.34/2.40 tff(8836,plain,
% 2.34/2.40 (~(Y!0 = cell73)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8835, 8832])).
% 2.34/2.40 tff(8837,plain,
% 2.34/2.40 (((~(X!1 = cell74)) | (~(Y!0 = cell73))) | (Y!0 = cell73)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8838,plain,
% 2.34/2.40 ((~(X!1 = cell74)) | (~(Y!0 = cell73))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8837, 8836])).
% 2.34/2.40 tff(8839,plain,
% 2.34/2.40 ((cell90 = cell74) <=> (cell74 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8840,plain,
% 2.34/2.40 ((Y!0 = cell74) <=> (cell90 = cell74)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8841,plain,
% 2.34/2.40 ((Y!0 = cell74) <=> (cell74 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8840, 8839])).
% 2.34/2.40 tff(8842,plain,
% 2.34/2.40 ((cell74 = cell90) <=> (Y!0 = cell74)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8841])).
% 2.34/2.40 tff(8843,plain,
% 2.34/2.40 ((~(cell74 = cell90)) <=> (~(Y!0 = cell74))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8842])).
% 2.34/2.40 tff(8844,plain,
% 2.34/2.40 ((~(cell74 = cell90)) <=> (~(cell74 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8845,axiom,(~(cell74 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46921')).
% 2.34/2.40 tff(8846,plain,
% 2.34/2.40 (~(cell74 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8845, 8844])).
% 2.34/2.40 tff(8847,plain,
% 2.34/2.40 (~(Y!0 = cell74)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8846, 8843])).
% 2.34/2.40 tff(8848,plain,
% 2.34/2.40 (((~(X!1 = cell75)) | (~(Y!0 = cell74))) | (Y!0 = cell74)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8849,plain,
% 2.34/2.40 ((~(X!1 = cell75)) | (~(Y!0 = cell74))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8848, 8847])).
% 2.34/2.40 tff(8850,plain,
% 2.34/2.40 ((cell90 = cell75) <=> (cell75 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8851,plain,
% 2.34/2.40 ((Y!0 = cell75) <=> (cell90 = cell75)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8852,plain,
% 2.34/2.40 ((Y!0 = cell75) <=> (cell75 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8851, 8850])).
% 2.34/2.40 tff(8853,plain,
% 2.34/2.40 ((cell75 = cell90) <=> (Y!0 = cell75)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8852])).
% 2.34/2.40 tff(8854,plain,
% 2.34/2.40 ((~(cell75 = cell90)) <=> (~(Y!0 = cell75))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8853])).
% 2.34/2.40 tff(8855,plain,
% 2.34/2.40 ((~(cell75 = cell90)) <=> (~(cell75 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8856,axiom,(~(cell75 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46843')).
% 2.34/2.40 tff(8857,plain,
% 2.34/2.40 (~(cell75 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 2.34/2.40 tff(8858,plain,
% 2.34/2.40 (~(Y!0 = cell75)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8857, 8854])).
% 2.34/2.40 tff(8859,plain,
% 2.34/2.40 (((~(X!1 = cell76)) | (~(Y!0 = cell75))) | (Y!0 = cell75)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8860,plain,
% 2.34/2.40 ((~(X!1 = cell76)) | (~(Y!0 = cell75))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8859, 8858])).
% 2.34/2.40 tff(8861,plain,
% 2.34/2.40 ((cell90 = cell76) <=> (cell76 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8862,plain,
% 2.34/2.40 ((Y!0 = cell76) <=> (cell90 = cell76)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8863,plain,
% 2.34/2.40 ((Y!0 = cell76) <=> (cell76 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8862, 8861])).
% 2.34/2.40 tff(8864,plain,
% 2.34/2.40 ((cell76 = cell90) <=> (Y!0 = cell76)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8863])).
% 2.34/2.40 tff(8865,plain,
% 2.34/2.40 ((~(cell76 = cell90)) <=> (~(Y!0 = cell76))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8864])).
% 2.34/2.40 tff(8866,plain,
% 2.34/2.40 ((~(cell76 = cell90)) <=> (~(cell76 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8867,axiom,(~(cell76 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46764')).
% 2.34/2.40 tff(8868,plain,
% 2.34/2.40 (~(cell76 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 2.34/2.40 tff(8869,plain,
% 2.34/2.40 (~(Y!0 = cell76)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8868, 8865])).
% 2.34/2.40 tff(8870,plain,
% 2.34/2.40 (((~(X!1 = cell77)) | (~(Y!0 = cell76))) | (Y!0 = cell76)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8871,plain,
% 2.34/2.40 ((~(X!1 = cell77)) | (~(Y!0 = cell76))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8870, 8869])).
% 2.34/2.40 tff(8872,plain,
% 2.34/2.40 (((~(X!1 = cell78)) | (~(Y!0 = cell77))) | (X!1 = cell78)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8873,plain,
% 2.34/2.40 ((~(X!1 = cell78)) | (~(Y!0 = cell77))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8872, 1217])).
% 2.34/2.40 tff(8874,plain,
% 2.34/2.40 ((cell90 = cell78) <=> (cell78 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8875,plain,
% 2.34/2.40 ((Y!0 = cell78) <=> (cell90 = cell78)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8876,plain,
% 2.34/2.40 ((Y!0 = cell78) <=> (cell78 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8875, 8874])).
% 2.34/2.40 tff(8877,plain,
% 2.34/2.40 ((cell78 = cell90) <=> (Y!0 = cell78)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8876])).
% 2.34/2.40 tff(8878,plain,
% 2.34/2.40 ((~(cell78 = cell90)) <=> (~(Y!0 = cell78))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8877])).
% 2.34/2.40 tff(8879,plain,
% 2.34/2.40 ((~(cell78 = cell90)) <=> (~(cell78 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8880,axiom,(~(cell78 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46603')).
% 2.34/2.40 tff(8881,plain,
% 2.34/2.40 (~(cell78 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8880, 8879])).
% 2.34/2.40 tff(8882,plain,
% 2.34/2.40 (~(Y!0 = cell78)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8881, 8878])).
% 2.34/2.40 tff(8883,plain,
% 2.34/2.40 (((~(X!1 = cell79)) | (~(Y!0 = cell78))) | (Y!0 = cell78)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8884,plain,
% 2.34/2.40 ((~(X!1 = cell79)) | (~(Y!0 = cell78))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8883, 8882])).
% 2.34/2.40 tff(8885,plain,
% 2.34/2.40 ((Y!0 = cell12) <=> (cell90 = cell12)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8886,plain,
% 2.34/2.40 ((cell90 = cell12) <=> (Y!0 = cell12)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8885])).
% 2.34/2.40 tff(8887,plain,
% 2.34/2.40 ((~(cell90 = cell12)) <=> (~(Y!0 = cell12))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8886])).
% 2.34/2.40 tff(8888,plain,
% 2.34/2.40 (~(Y!0 = cell12)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[2612, 8887])).
% 2.34/2.40 tff(8889,plain,
% 2.34/2.40 (((~(X!1 = cell22)) | (~(Y!0 = cell12))) | (Y!0 = cell12)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8890,plain,
% 2.34/2.40 ((~(X!1 = cell22)) | (~(Y!0 = cell12))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8889, 8888])).
% 2.34/2.40 tff(8891,plain,
% 2.34/2.40 ((cell90 = cell81) <=> (cell81 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8892,plain,
% 2.34/2.40 ((Y!0 = cell81) <=> (cell90 = cell81)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8893,plain,
% 2.34/2.40 ((Y!0 = cell81) <=> (cell81 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8892, 8891])).
% 2.34/2.40 tff(8894,plain,
% 2.34/2.40 ((cell81 = cell90) <=> (Y!0 = cell81)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8893])).
% 2.34/2.40 tff(8895,plain,
% 2.34/2.40 ((~(cell81 = cell90)) <=> (~(Y!0 = cell81))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8894])).
% 2.34/2.40 tff(8896,plain,
% 2.34/2.40 ((~(cell81 = cell90)) <=> (~(cell81 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8897,axiom,(~(cell81 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46354')).
% 2.34/2.40 tff(8898,plain,
% 2.34/2.40 (~(cell81 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8897, 8896])).
% 2.34/2.40 tff(8899,plain,
% 2.34/2.40 (~(Y!0 = cell81)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8898, 8895])).
% 2.34/2.40 tff(8900,plain,
% 2.34/2.40 (((~(X!1 = cell82)) | (~(Y!0 = cell81))) | (Y!0 = cell81)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8901,plain,
% 2.34/2.40 ((~(X!1 = cell82)) | (~(Y!0 = cell81))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8900, 8899])).
% 2.34/2.40 tff(8902,plain,
% 2.34/2.40 ((cell90 = cell82) <=> (cell82 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8903,plain,
% 2.34/2.40 ((Y!0 = cell82) <=> (cell90 = cell82)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8904,plain,
% 2.34/2.40 ((Y!0 = cell82) <=> (cell82 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8903, 8902])).
% 2.34/2.40 tff(8905,plain,
% 2.34/2.40 ((cell82 = cell90) <=> (Y!0 = cell82)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8904])).
% 2.34/2.40 tff(8906,plain,
% 2.34/2.40 ((~(cell82 = cell90)) <=> (~(Y!0 = cell82))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8905])).
% 2.34/2.40 tff(8907,plain,
% 2.34/2.40 ((~(cell82 = cell90)) <=> (~(cell82 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8908,axiom,(~(cell82 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46438')).
% 2.34/2.40 tff(8909,plain,
% 2.34/2.40 (~(cell82 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8908, 8907])).
% 2.34/2.40 tff(8910,plain,
% 2.34/2.40 (~(Y!0 = cell82)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8909, 8906])).
% 2.34/2.40 tff(8911,plain,
% 2.34/2.40 (((~(X!1 = cell83)) | (~(Y!0 = cell82))) | (Y!0 = cell82)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8912,plain,
% 2.34/2.40 ((~(X!1 = cell83)) | (~(Y!0 = cell82))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8911, 8910])).
% 2.34/2.40 tff(8913,plain,
% 2.34/2.40 ((cell90 = cell83) <=> (cell83 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8914,plain,
% 2.34/2.40 ((Y!0 = cell83) <=> (cell90 = cell83)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8915,plain,
% 2.34/2.40 ((Y!0 = cell83) <=> (cell83 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8914, 8913])).
% 2.34/2.40 tff(8916,plain,
% 2.34/2.40 ((cell83 = cell90) <=> (Y!0 = cell83)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8915])).
% 2.34/2.40 tff(8917,plain,
% 2.34/2.40 ((~(cell83 = cell90)) <=> (~(Y!0 = cell83))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8916])).
% 2.34/2.40 tff(8918,plain,
% 2.34/2.40 ((~(cell83 = cell90)) <=> (~(cell83 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8919,axiom,(~(cell83 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46269')).
% 2.34/2.40 tff(8920,plain,
% 2.34/2.40 (~(cell83 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8919, 8918])).
% 2.34/2.40 tff(8921,plain,
% 2.34/2.40 (~(Y!0 = cell83)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8920, 8917])).
% 2.34/2.40 tff(8922,plain,
% 2.34/2.40 (((~(X!1 = cell84)) | (~(Y!0 = cell83))) | (Y!0 = cell83)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8923,plain,
% 2.34/2.40 ((~(X!1 = cell84)) | (~(Y!0 = cell83))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8922, 8921])).
% 2.34/2.40 tff(8924,plain,
% 2.34/2.40 ((cell90 = cell84) <=> (cell84 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8925,plain,
% 2.34/2.40 ((Y!0 = cell84) <=> (cell90 = cell84)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8926,plain,
% 2.34/2.40 ((Y!0 = cell84) <=> (cell84 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8925, 8924])).
% 2.34/2.40 tff(8927,plain,
% 2.34/2.40 ((cell84 = cell90) <=> (Y!0 = cell84)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8926])).
% 2.34/2.40 tff(8928,plain,
% 2.34/2.40 ((~(cell84 = cell90)) <=> (~(Y!0 = cell84))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8927])).
% 2.34/2.40 tff(8929,plain,
% 2.34/2.40 ((~(cell84 = cell90)) <=> (~(cell84 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8930,axiom,(~(cell84 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46183')).
% 2.34/2.40 tff(8931,plain,
% 2.34/2.40 (~(cell84 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8930, 8929])).
% 2.34/2.40 tff(8932,plain,
% 2.34/2.40 (~(Y!0 = cell84)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8931, 8928])).
% 2.34/2.40 tff(8933,plain,
% 2.34/2.40 (((~(X!1 = cell85)) | (~(Y!0 = cell84))) | (Y!0 = cell84)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8934,plain,
% 2.34/2.40 ((~(X!1 = cell85)) | (~(Y!0 = cell84))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8933, 8932])).
% 2.34/2.40 tff(8935,plain,
% 2.34/2.40 (((~(X!1 = cell86)) | (~(Y!0 = cell85))) | (Y!0 = cell85)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8936,plain,
% 2.34/2.40 ((~(X!1 = cell86)) | (~(Y!0 = cell85))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8935, 8172])).
% 2.34/2.40 tff(8937,plain,
% 2.34/2.40 (((~(X!1 = cell87)) | (~(Y!0 = cell86))) | (Y!0 = cell86)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8938,plain,
% 2.34/2.40 ((~(X!1 = cell87)) | (~(Y!0 = cell86))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8937, 8260])).
% 2.34/2.40 tff(8939,plain,
% 2.34/2.40 ((cell90 = cell91) <=> (cell91 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8940,plain,
% 2.34/2.40 ((Y!0 = cell91) <=> (cell90 = cell91)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8941,plain,
% 2.34/2.40 ((Y!0 = cell91) <=> (cell91 = cell90)),
% 2.34/2.40 inference(transitivity,[status(thm)],[8940, 8939])).
% 2.34/2.40 tff(8942,plain,
% 2.34/2.40 ((cell91 = cell90) <=> (Y!0 = cell91)),
% 2.34/2.40 inference(symmetry,[status(thm)],[8941])).
% 2.34/2.40 tff(8943,plain,
% 2.34/2.40 ((~(cell91 = cell90)) <=> (~(Y!0 = cell91))),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8942])).
% 2.34/2.40 tff(8944,plain,
% 2.34/2.40 ((~(cell91 = cell90)) <=> (~(cell91 = cell90))),
% 2.34/2.40 inference(rewrite,[status(thm)],[])).
% 2.34/2.40 tff(8945,axiom,(~(cell91 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45738')).
% 2.34/2.40 tff(8946,plain,
% 2.34/2.40 (~(cell91 = cell90)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 2.34/2.40 tff(8947,plain,
% 2.34/2.40 (~(Y!0 = cell91)),
% 2.34/2.40 inference(modus_ponens,[status(thm)],[8946, 8943])).
% 2.34/2.40 tff(8948,plain,
% 2.34/2.40 (((~(X!1 = cell92)) | (~(Y!0 = cell91))) | (Y!0 = cell91)),
% 2.34/2.40 inference(tautology,[status(thm)],[])).
% 2.34/2.40 tff(8949,plain,
% 2.34/2.40 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 2.34/2.40 inference(unit_resolution,[status(thm)],[8948, 8947])).
% 2.34/2.40 tff(8950,plain,
% 2.34/2.40 ((cell90 = cell92) <=> (cell92 = cell90)),
% 2.34/2.40 inference(commutativity,[status(thm)],[])).
% 2.34/2.40 tff(8951,plain,
% 2.34/2.40 ((Y!0 = cell92) <=> (cell90 = cell92)),
% 2.34/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.34/2.40 tff(8952,plain,
% 2.37/2.40 ((Y!0 = cell92) <=> (cell92 = cell90)),
% 2.37/2.40 inference(transitivity,[status(thm)],[8951, 8950])).
% 2.37/2.40 tff(8953,plain,
% 2.37/2.40 ((cell92 = cell90) <=> (Y!0 = cell92)),
% 2.37/2.40 inference(symmetry,[status(thm)],[8952])).
% 2.37/2.40 tff(8954,plain,
% 2.37/2.40 ((~(cell92 = cell90)) <=> (~(Y!0 = cell92))),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8953])).
% 2.37/2.40 tff(8955,plain,
% 2.37/2.40 ((~(cell92 = cell90)) <=> (~(cell92 = cell90))),
% 2.37/2.40 inference(rewrite,[status(thm)],[])).
% 2.37/2.40 tff(8956,axiom,(~(cell92 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45829')).
% 2.37/2.40 tff(8957,plain,
% 2.37/2.40 (~(cell92 = cell90)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 2.37/2.40 tff(8958,plain,
% 2.37/2.40 (~(Y!0 = cell92)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[8957, 8954])).
% 2.37/2.40 tff(8959,plain,
% 2.37/2.40 (((~(X!1 = cell93)) | (~(Y!0 = cell92))) | (Y!0 = cell92)),
% 2.37/2.40 inference(tautology,[status(thm)],[])).
% 2.37/2.40 tff(8960,plain,
% 2.37/2.40 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 2.37/2.40 inference(unit_resolution,[status(thm)],[8959, 8958])).
% 2.37/2.40 tff(8961,plain,
% 2.37/2.40 ((cell90 = cell93) <=> (cell93 = cell90)),
% 2.37/2.40 inference(commutativity,[status(thm)],[])).
% 2.37/2.40 tff(8962,plain,
% 2.37/2.40 ((Y!0 = cell93) <=> (cell90 = cell93)),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.40 tff(8963,plain,
% 2.37/2.40 ((Y!0 = cell93) <=> (cell93 = cell90)),
% 2.37/2.40 inference(transitivity,[status(thm)],[8962, 8961])).
% 2.37/2.40 tff(8964,plain,
% 2.37/2.40 ((cell93 = cell90) <=> (Y!0 = cell93)),
% 2.37/2.40 inference(symmetry,[status(thm)],[8963])).
% 2.37/2.40 tff(8965,plain,
% 2.37/2.40 ((~(cell93 = cell90)) <=> (~(Y!0 = cell93))),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8964])).
% 2.37/2.40 tff(8966,plain,
% 2.37/2.40 ((~(cell93 = cell90)) <=> (~(cell93 = cell90))),
% 2.37/2.40 inference(rewrite,[status(thm)],[])).
% 2.37/2.40 tff(8967,axiom,(~(cell93 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45646')).
% 2.37/2.40 tff(8968,plain,
% 2.37/2.40 (~(cell93 = cell90)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[8967, 8966])).
% 2.37/2.40 tff(8969,plain,
% 2.37/2.40 (~(Y!0 = cell93)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[8968, 8965])).
% 2.37/2.40 tff(8970,plain,
% 2.37/2.40 (((~(X!1 = cell94)) | (~(Y!0 = cell93))) | (Y!0 = cell93)),
% 2.37/2.40 inference(tautology,[status(thm)],[])).
% 2.37/2.40 tff(8971,plain,
% 2.37/2.40 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 2.37/2.40 inference(unit_resolution,[status(thm)],[8970, 8969])).
% 2.37/2.40 tff(8972,plain,
% 2.37/2.40 ((cell90 = cell94) <=> (cell94 = cell90)),
% 2.37/2.40 inference(commutativity,[status(thm)],[])).
% 2.37/2.40 tff(8973,plain,
% 2.37/2.40 ((Y!0 = cell94) <=> (cell90 = cell94)),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.40 tff(8974,plain,
% 2.37/2.40 ((Y!0 = cell94) <=> (cell94 = cell90)),
% 2.37/2.40 inference(transitivity,[status(thm)],[8973, 8972])).
% 2.37/2.40 tff(8975,plain,
% 2.37/2.40 ((cell94 = cell90) <=> (Y!0 = cell94)),
% 2.37/2.40 inference(symmetry,[status(thm)],[8974])).
% 2.37/2.40 tff(8976,plain,
% 2.37/2.40 ((~(cell94 = cell90)) <=> (~(Y!0 = cell94))),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8975])).
% 2.37/2.40 tff(8977,plain,
% 2.37/2.40 ((~(cell94 = cell90)) <=> (~(cell94 = cell90))),
% 2.37/2.40 inference(rewrite,[status(thm)],[])).
% 2.37/2.40 tff(8978,axiom,(~(cell94 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45553')).
% 2.37/2.40 tff(8979,plain,
% 2.37/2.40 (~(cell94 = cell90)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[8978, 8977])).
% 2.37/2.40 tff(8980,plain,
% 2.37/2.40 (~(Y!0 = cell94)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[8979, 8976])).
% 2.37/2.40 tff(8981,plain,
% 2.37/2.40 (((~(X!1 = cell95)) | (~(Y!0 = cell94))) | (Y!0 = cell94)),
% 2.37/2.40 inference(tautology,[status(thm)],[])).
% 2.37/2.40 tff(8982,plain,
% 2.37/2.40 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 2.37/2.40 inference(unit_resolution,[status(thm)],[8981, 8980])).
% 2.37/2.40 tff(8983,plain,
% 2.37/2.40 ((cell90 = cell95) <=> (cell95 = cell90)),
% 2.37/2.40 inference(commutativity,[status(thm)],[])).
% 2.37/2.40 tff(8984,plain,
% 2.37/2.40 ((Y!0 = cell95) <=> (cell90 = cell95)),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.40 tff(8985,plain,
% 2.37/2.40 ((Y!0 = cell95) <=> (cell95 = cell90)),
% 2.37/2.40 inference(transitivity,[status(thm)],[8984, 8983])).
% 2.37/2.40 tff(8986,plain,
% 2.37/2.40 ((cell95 = cell90) <=> (Y!0 = cell95)),
% 2.37/2.40 inference(symmetry,[status(thm)],[8985])).
% 2.37/2.40 tff(8987,plain,
% 2.37/2.40 ((~(cell95 = cell90)) <=> (~(Y!0 = cell95))),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8986])).
% 2.37/2.40 tff(8988,plain,
% 2.37/2.40 ((~(cell95 = cell90)) <=> (~(cell95 = cell90))),
% 2.37/2.40 inference(rewrite,[status(thm)],[])).
% 2.37/2.40 tff(8989,axiom,(~(cell95 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45459')).
% 2.37/2.40 tff(8990,plain,
% 2.37/2.40 (~(cell95 = cell90)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[8989, 8988])).
% 2.37/2.40 tff(8991,plain,
% 2.37/2.40 (~(Y!0 = cell95)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[8990, 8987])).
% 2.37/2.40 tff(8992,plain,
% 2.37/2.40 (((~(X!1 = cell96)) | (~(Y!0 = cell95))) | (Y!0 = cell95)),
% 2.37/2.40 inference(tautology,[status(thm)],[])).
% 2.37/2.40 tff(8993,plain,
% 2.37/2.40 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 2.37/2.40 inference(unit_resolution,[status(thm)],[8992, 8991])).
% 2.37/2.40 tff(8994,plain,
% 2.37/2.40 ((cell90 = cell96) <=> (cell96 = cell90)),
% 2.37/2.40 inference(commutativity,[status(thm)],[])).
% 2.37/2.40 tff(8995,plain,
% 2.37/2.40 ((Y!0 = cell96) <=> (cell90 = cell96)),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.40 tff(8996,plain,
% 2.37/2.40 ((Y!0 = cell96) <=> (cell96 = cell90)),
% 2.37/2.40 inference(transitivity,[status(thm)],[8995, 8994])).
% 2.37/2.40 tff(8997,plain,
% 2.37/2.40 ((cell96 = cell90) <=> (Y!0 = cell96)),
% 2.37/2.40 inference(symmetry,[status(thm)],[8996])).
% 2.37/2.40 tff(8998,plain,
% 2.37/2.40 ((~(cell96 = cell90)) <=> (~(Y!0 = cell96))),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8997])).
% 2.37/2.40 tff(8999,plain,
% 2.37/2.40 ((~(cell96 = cell90)) <=> (~(cell96 = cell90))),
% 2.37/2.40 inference(rewrite,[status(thm)],[])).
% 2.37/2.40 tff(9000,axiom,(~(cell96 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45364')).
% 2.37/2.40 tff(9001,plain,
% 2.37/2.40 (~(cell96 = cell90)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 2.37/2.40 tff(9002,plain,
% 2.37/2.40 (~(Y!0 = cell96)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[9001, 8998])).
% 2.37/2.40 tff(9003,plain,
% 2.37/2.40 (((~(X!1 = cell97)) | (~(Y!0 = cell96))) | (Y!0 = cell96)),
% 2.37/2.40 inference(tautology,[status(thm)],[])).
% 2.37/2.40 tff(9004,plain,
% 2.37/2.40 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 2.37/2.40 inference(unit_resolution,[status(thm)],[9003, 9002])).
% 2.37/2.40 tff(9005,plain,
% 2.37/2.40 ((cell90 = cell97) <=> (cell97 = cell90)),
% 2.37/2.40 inference(commutativity,[status(thm)],[])).
% 2.37/2.40 tff(9006,plain,
% 2.37/2.40 ((Y!0 = cell97) <=> (cell90 = cell97)),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.40 tff(9007,plain,
% 2.37/2.40 ((Y!0 = cell97) <=> (cell97 = cell90)),
% 2.37/2.40 inference(transitivity,[status(thm)],[9006, 9005])).
% 2.37/2.40 tff(9008,plain,
% 2.37/2.40 ((cell97 = cell90) <=> (Y!0 = cell97)),
% 2.37/2.40 inference(symmetry,[status(thm)],[9007])).
% 2.37/2.40 tff(9009,plain,
% 2.37/2.40 ((~(cell97 = cell90)) <=> (~(Y!0 = cell97))),
% 2.37/2.40 inference(monotonicity,[status(thm)],[9008])).
% 2.37/2.40 tff(9010,plain,
% 2.37/2.40 ((~(cell97 = cell90)) <=> (~(cell97 = cell90))),
% 2.37/2.40 inference(rewrite,[status(thm)],[])).
% 2.37/2.40 tff(9011,axiom,(~(cell97 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45268')).
% 2.37/2.40 tff(9012,plain,
% 2.37/2.40 (~(cell97 = cell90)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[9011, 9010])).
% 2.37/2.40 tff(9013,plain,
% 2.37/2.40 (~(Y!0 = cell97)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[9012, 9009])).
% 2.37/2.40 tff(9014,plain,
% 2.37/2.40 (((~(X!1 = cell98)) | (~(Y!0 = cell97))) | (Y!0 = cell97)),
% 2.37/2.40 inference(tautology,[status(thm)],[])).
% 2.37/2.40 tff(9015,plain,
% 2.37/2.40 ((~(X!1 = cell98)) | (~(Y!0 = cell97))),
% 2.37/2.40 inference(unit_resolution,[status(thm)],[9014, 9013])).
% 2.37/2.40 tff(9016,plain,
% 2.37/2.40 ((cell90 = cell98) <=> (cell98 = cell90)),
% 2.37/2.40 inference(commutativity,[status(thm)],[])).
% 2.37/2.40 tff(9017,plain,
% 2.37/2.40 ((Y!0 = cell98) <=> (cell90 = cell98)),
% 2.37/2.40 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.40 tff(9018,plain,
% 2.37/2.40 ((Y!0 = cell98) <=> (cell98 = cell90)),
% 2.37/2.40 inference(transitivity,[status(thm)],[9017, 9016])).
% 2.37/2.40 tff(9019,plain,
% 2.37/2.40 ((cell98 = cell90) <=> (Y!0 = cell98)),
% 2.37/2.40 inference(symmetry,[status(thm)],[9018])).
% 2.37/2.40 tff(9020,plain,
% 2.37/2.40 ((~(cell98 = cell90)) <=> (~(Y!0 = cell98))),
% 2.37/2.40 inference(monotonicity,[status(thm)],[9019])).
% 2.37/2.40 tff(9021,plain,
% 2.37/2.40 ((~(cell98 = cell90)) <=> (~(cell98 = cell90))),
% 2.37/2.40 inference(rewrite,[status(thm)],[])).
% 2.37/2.40 tff(9022,axiom,(~(cell98 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45171')).
% 2.37/2.40 tff(9023,plain,
% 2.37/2.40 (~(cell98 = cell90)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[9022, 9021])).
% 2.37/2.40 tff(9024,plain,
% 2.37/2.40 (~(Y!0 = cell98)),
% 2.37/2.40 inference(modus_ponens,[status(thm)],[9023, 9020])).
% 2.37/2.40 tff(9025,plain,
% 2.37/2.40 (((~(X!1 = cell99)) | (~(Y!0 = cell98))) | (Y!0 = cell98)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9026,plain,
% 2.37/2.41 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9025, 9024])).
% 2.37/2.41 tff(9027,plain,
% 2.37/2.41 ((cell90 = cell87) <=> (cell87 = cell90)),
% 2.37/2.41 inference(commutativity,[status(thm)],[])).
% 2.37/2.41 tff(9028,plain,
% 2.37/2.41 ((Y!0 = cell87) <=> (cell90 = cell87)),
% 2.37/2.41 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.41 tff(9029,plain,
% 2.37/2.41 ((Y!0 = cell87) <=> (cell87 = cell90)),
% 2.37/2.41 inference(transitivity,[status(thm)],[9028, 9027])).
% 2.37/2.41 tff(9030,plain,
% 2.37/2.41 ((cell87 = cell90) <=> (Y!0 = cell87)),
% 2.37/2.41 inference(symmetry,[status(thm)],[9029])).
% 2.37/2.41 tff(9031,plain,
% 2.37/2.41 ((~(cell87 = cell90)) <=> (~(Y!0 = cell87))),
% 2.37/2.41 inference(monotonicity,[status(thm)],[9030])).
% 2.37/2.41 tff(9032,plain,
% 2.37/2.41 ((~(cell87 = cell90)) <=> (~(cell87 = cell90))),
% 2.37/2.41 inference(rewrite,[status(thm)],[])).
% 2.37/2.41 tff(9033,axiom,(~(cell87 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45919')).
% 2.37/2.41 tff(9034,plain,
% 2.37/2.41 (~(cell87 = cell90)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9033, 9032])).
% 2.37/2.41 tff(9035,plain,
% 2.37/2.41 (~(Y!0 = cell87)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9034, 9031])).
% 2.37/2.41 tff(9036,plain,
% 2.37/2.41 (((~(X!1 = cell97)) | (~(Y!0 = cell87))) | (Y!0 = cell87)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9037,plain,
% 2.37/2.41 ((~(X!1 = cell97)) | (~(Y!0 = cell87))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9036, 9035])).
% 2.37/2.41 tff(9038,plain,
% 2.37/2.41 (((~(X!1 = cell13)) | (~(Y!0 = cell3))) | (X!1 = cell13)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9039,plain,
% 2.37/2.41 ((~(X!1 = cell13)) | (~(Y!0 = cell3))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9038, 29])).
% 2.37/2.41 tff(9040,plain,
% 2.37/2.41 (((~(X!1 = cell14)) | (~(Y!0 = cell4))) | (Y!0 = cell4)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9041,plain,
% 2.37/2.41 ((~(X!1 = cell14)) | (~(Y!0 = cell4))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9040, 8194])).
% 2.37/2.41 tff(9042,plain,
% 2.37/2.41 (((~(X!1 = cell15)) | (~(Y!0 = cell5))) | (Y!0 = cell5)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9043,plain,
% 2.37/2.41 ((~(X!1 = cell15)) | (~(Y!0 = cell5))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9042, 8205])).
% 2.37/2.41 tff(9044,plain,
% 2.37/2.41 (((~(X!1 = cell16)) | (~(Y!0 = cell6))) | (Y!0 = cell6)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9045,plain,
% 2.37/2.41 ((~(X!1 = cell16)) | (~(Y!0 = cell6))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9044, 8216])).
% 2.37/2.41 tff(9046,plain,
% 2.37/2.41 (((~(X!1 = cell17)) | (~(Y!0 = cell7))) | (Y!0 = cell7)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9047,plain,
% 2.37/2.41 ((~(X!1 = cell17)) | (~(Y!0 = cell7))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9046, 8227])).
% 2.37/2.41 tff(9048,plain,
% 2.37/2.41 (((~(X!1 = cell18)) | (~(Y!0 = cell8))) | (Y!0 = cell8)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9049,plain,
% 2.37/2.41 ((~(X!1 = cell18)) | (~(Y!0 = cell8))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9048, 8238])).
% 2.37/2.41 tff(9050,plain,
% 2.37/2.41 (((~(X!1 = cell19)) | (~(Y!0 = cell9))) | (Y!0 = cell9)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9051,plain,
% 2.37/2.41 ((~(X!1 = cell19)) | (~(Y!0 = cell9))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9050, 8249])).
% 2.37/2.41 tff(9052,plain,
% 2.37/2.41 ((cell90 = cell10) <=> (cell10 = cell90)),
% 2.37/2.41 inference(commutativity,[status(thm)],[])).
% 2.37/2.41 tff(9053,plain,
% 2.37/2.41 ((Y!0 = cell10) <=> (cell90 = cell10)),
% 2.37/2.41 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.41 tff(9054,plain,
% 2.37/2.41 ((Y!0 = cell10) <=> (cell10 = cell90)),
% 2.37/2.41 inference(transitivity,[status(thm)],[9053, 9052])).
% 2.37/2.41 tff(9055,plain,
% 2.37/2.41 ((cell10 = cell90) <=> (Y!0 = cell10)),
% 2.37/2.41 inference(symmetry,[status(thm)],[9054])).
% 2.37/2.41 tff(9056,plain,
% 2.37/2.41 ((~(cell10 = cell90)) <=> (~(Y!0 = cell10))),
% 2.37/2.41 inference(monotonicity,[status(thm)],[9055])).
% 2.37/2.41 tff(9057,plain,
% 2.37/2.41 ((~(cell10 = cell90)) <=> (~(cell10 = cell90))),
% 2.37/2.41 inference(rewrite,[status(thm)],[])).
% 2.37/2.41 tff(9058,axiom,(~(cell10 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49771')).
% 2.37/2.41 tff(9059,plain,
% 2.37/2.41 (~(cell10 = cell90)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9058, 9057])).
% 2.37/2.41 tff(9060,plain,
% 2.37/2.41 (~(Y!0 = cell10)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9059, 9056])).
% 2.37/2.41 tff(9061,plain,
% 2.37/2.41 (((~(X!1 = cell20)) | (~(Y!0 = cell10))) | (Y!0 = cell10)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9062,plain,
% 2.37/2.41 ((~(X!1 = cell20)) | (~(Y!0 = cell10))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9061, 9060])).
% 2.37/2.41 tff(9063,assumption,(oxygen(cell11)), introduced(assumption)).
% 2.37/2.41 tff(9064,assumption,(oxygen(cell90)), introduced(assumption)).
% 2.37/2.41 tff(9065,plain,
% 2.37/2.41 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell11) | (~oxygen(cell90)) | (~oxygen(cell11)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell90 = cell11) | (~oxygen(cell90)) | (~oxygen(cell11)))),
% 2.37/2.41 inference(rewrite,[status(thm)],[])).
% 2.37/2.41 tff(9066,plain,
% 2.37/2.41 (((cell90 = cell11) | (~oxygen(cell11)) | (~oxygen(cell90))) <=> ((cell90 = cell11) | (~oxygen(cell90)) | (~oxygen(cell11)))),
% 2.37/2.41 inference(rewrite,[status(thm)],[])).
% 2.37/2.41 tff(9067,plain,
% 2.37/2.41 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell11) | (~oxygen(cell11)) | (~oxygen(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell11) | (~oxygen(cell90)) | (~oxygen(cell11))))),
% 2.37/2.41 inference(monotonicity,[status(thm)],[9066])).
% 2.37/2.41 tff(9068,plain,
% 2.37/2.41 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell11) | (~oxygen(cell11)) | (~oxygen(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell90 = cell11) | (~oxygen(cell90)) | (~oxygen(cell11)))),
% 2.37/2.41 inference(transitivity,[status(thm)],[9067, 9065])).
% 2.37/2.41 tff(9069,plain,
% 2.37/2.41 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell11) | (~oxygen(cell11)) | (~oxygen(cell90)))),
% 2.37/2.41 inference(quant_inst,[status(thm)],[])).
% 2.37/2.41 tff(9070,plain,
% 2.37/2.41 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell90 = cell11) | (~oxygen(cell90)) | (~oxygen(cell11))),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9069, 9068])).
% 2.37/2.41 tff(9071,plain,
% 2.37/2.41 ($false),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9070, 9064, 1246, 3953, 9063])).
% 2.37/2.41 tff(9072,plain,((~oxygen(cell90)) | (~oxygen(cell11))), inference(lemma,lemma(discharge,[]))).
% 2.37/2.41 tff(9073,plain,
% 2.37/2.41 (~oxygen(cell11)),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9072, 8144])).
% 2.37/2.41 tff(9074,assumption,(Y!0 = cell11), introduced(assumption)).
% 2.37/2.41 tff(9075,plain,
% 2.37/2.41 (cell11 = Y!0),
% 2.37/2.41 inference(symmetry,[status(thm)],[9074])).
% 2.37/2.41 tff(9076,plain,
% 2.37/2.41 (oxygen(cell11) <=> oxygen(Y!0)),
% 2.37/2.41 inference(monotonicity,[status(thm)],[9075])).
% 2.37/2.41 tff(9077,plain,
% 2.37/2.41 (oxygen(Y!0) <=> oxygen(cell11)),
% 2.37/2.41 inference(symmetry,[status(thm)],[9076])).
% 2.37/2.41 tff(9078,plain,
% 2.37/2.41 (oxygen(cell11)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[1233, 9077])).
% 2.37/2.41 tff(9079,assumption,(~oxygen(cell11)), introduced(assumption)).
% 2.37/2.41 tff(9080,plain,
% 2.37/2.41 ($false),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9079, 9078])).
% 2.37/2.41 tff(9081,plain,(oxygen(cell11) | (~(Y!0 = cell11))), inference(lemma,lemma(discharge,[]))).
% 2.37/2.41 tff(9082,plain,
% 2.37/2.41 (~(Y!0 = cell11)),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9081, 9073])).
% 2.37/2.41 tff(9083,plain,
% 2.37/2.41 (((~(X!1 = cell21)) | (~(Y!0 = cell11))) | (Y!0 = cell11)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9084,plain,
% 2.37/2.41 ((~(X!1 = cell21)) | (~(Y!0 = cell11))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9083, 9082])).
% 2.37/2.41 tff(9085,plain,
% 2.37/2.41 (((~(X!1 = cell91)) | (~(Y!0 = cell81))) | (Y!0 = cell81)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9086,plain,
% 2.37/2.41 ((~(X!1 = cell91)) | (~(Y!0 = cell81))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9085, 8899])).
% 2.37/2.41 tff(9087,plain,
% 2.37/2.41 (((~(X!1 = cell24)) | (~(Y!0 = cell14))) | (Y!0 = cell14)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9088,plain,
% 2.37/2.41 ((~(X!1 = cell24)) | (~(Y!0 = cell14))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9087, 8273])).
% 2.37/2.41 tff(9089,plain,
% 2.37/2.41 (((~(X!1 = cell25)) | (~(Y!0 = cell15))) | (Y!0 = cell15)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9090,plain,
% 2.37/2.41 ((~(X!1 = cell25)) | (~(Y!0 = cell15))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9089, 8284])).
% 2.37/2.41 tff(9091,plain,
% 2.37/2.41 (((~(X!1 = cell26)) | (~(Y!0 = cell16))) | (Y!0 = cell16)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9092,plain,
% 2.37/2.41 ((~(X!1 = cell26)) | (~(Y!0 = cell16))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9091, 8295])).
% 2.37/2.41 tff(9093,plain,
% 2.37/2.41 (((~(X!1 = cell27)) | (~(Y!0 = cell17))) | (Y!0 = cell17)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9094,plain,
% 2.37/2.41 ((~(X!1 = cell27)) | (~(Y!0 = cell17))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9093, 8306])).
% 2.37/2.41 tff(9095,plain,
% 2.37/2.41 (((~(X!1 = cell28)) | (~(Y!0 = cell18))) | (Y!0 = cell18)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9096,plain,
% 2.37/2.41 ((~(X!1 = cell28)) | (~(Y!0 = cell18))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9095, 8317])).
% 2.37/2.41 tff(9097,plain,
% 2.37/2.41 (((~(X!1 = cell29)) | (~(Y!0 = cell19))) | (Y!0 = cell19)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9098,plain,
% 2.37/2.41 ((~(X!1 = cell29)) | (~(Y!0 = cell19))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9097, 8328])).
% 2.37/2.41 tff(9099,plain,
% 2.37/2.41 ((cell90 = cell20) <=> (cell20 = cell90)),
% 2.37/2.41 inference(commutativity,[status(thm)],[])).
% 2.37/2.41 tff(9100,plain,
% 2.37/2.41 ((Y!0 = cell20) <=> (cell90 = cell20)),
% 2.37/2.41 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.41 tff(9101,plain,
% 2.37/2.41 ((Y!0 = cell20) <=> (cell20 = cell90)),
% 2.37/2.41 inference(transitivity,[status(thm)],[9100, 9099])).
% 2.37/2.41 tff(9102,plain,
% 2.37/2.41 ((cell20 = cell90) <=> (Y!0 = cell20)),
% 2.37/2.41 inference(symmetry,[status(thm)],[9101])).
% 2.37/2.41 tff(9103,plain,
% 2.37/2.41 ((~(cell20 = cell90)) <=> (~(Y!0 = cell20))),
% 2.37/2.41 inference(monotonicity,[status(thm)],[9102])).
% 2.37/2.41 tff(9104,plain,
% 2.37/2.41 ((~(cell20 = cell90)) <=> (~(cell20 = cell90))),
% 2.37/2.41 inference(rewrite,[status(thm)],[])).
% 2.37/2.41 tff(9105,axiom,(~(cell20 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49624')).
% 2.37/2.41 tff(9106,plain,
% 2.37/2.41 (~(cell20 = cell90)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9105, 9104])).
% 2.37/2.41 tff(9107,plain,
% 2.37/2.41 (~(Y!0 = cell20)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9106, 9103])).
% 2.37/2.41 tff(9108,plain,
% 2.37/2.41 (((~(X!1 = cell30)) | (~(Y!0 = cell20))) | (Y!0 = cell20)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9109,plain,
% 2.37/2.41 ((~(X!1 = cell30)) | (~(Y!0 = cell20))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9108, 9107])).
% 2.37/2.41 tff(9110,plain,
% 2.37/2.41 ((cell90 = cell21) <=> (cell21 = cell90)),
% 2.37/2.41 inference(commutativity,[status(thm)],[])).
% 2.37/2.41 tff(9111,plain,
% 2.37/2.41 ((Y!0 = cell21) <=> (cell90 = cell21)),
% 2.37/2.41 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.41 tff(9112,plain,
% 2.37/2.41 ((Y!0 = cell21) <=> (cell21 = cell90)),
% 2.37/2.41 inference(transitivity,[status(thm)],[9111, 9110])).
% 2.37/2.41 tff(9113,plain,
% 2.37/2.41 ((cell21 = cell90) <=> (Y!0 = cell21)),
% 2.37/2.41 inference(symmetry,[status(thm)],[9112])).
% 2.37/2.41 tff(9114,plain,
% 2.37/2.41 ((~(cell21 = cell90)) <=> (~(Y!0 = cell21))),
% 2.37/2.41 inference(monotonicity,[status(thm)],[9113])).
% 2.37/2.41 tff(9115,plain,
% 2.37/2.41 ((~(cell21 = cell90)) <=> (~(cell21 = cell90))),
% 2.37/2.41 inference(rewrite,[status(thm)],[])).
% 2.37/2.41 tff(9116,axiom,(~(cell21 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49599')).
% 2.37/2.41 tff(9117,plain,
% 2.37/2.41 (~(cell21 = cell90)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9116, 9115])).
% 2.37/2.41 tff(9118,plain,
% 2.37/2.41 (~(Y!0 = cell21)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9117, 9114])).
% 2.37/2.41 tff(9119,plain,
% 2.37/2.41 (((~(X!1 = cell31)) | (~(Y!0 = cell21))) | (Y!0 = cell21)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9120,plain,
% 2.37/2.41 ((~(X!1 = cell31)) | (~(Y!0 = cell21))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9119, 9118])).
% 2.37/2.41 tff(9121,plain,
% 2.37/2.41 (((~(X!1 = cell33)) | (~(Y!0 = cell23))) | (Y!0 = cell23)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9122,plain,
% 2.37/2.41 ((~(X!1 = cell33)) | (~(Y!0 = cell23))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9121, 8350])).
% 2.37/2.41 tff(9123,plain,
% 2.37/2.41 (((~(X!1 = cell34)) | (~(Y!0 = cell24))) | (Y!0 = cell24)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9124,plain,
% 2.37/2.41 ((~(X!1 = cell34)) | (~(Y!0 = cell24))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9123, 8361])).
% 2.37/2.41 tff(9125,plain,
% 2.37/2.41 (((~(X!1 = cell35)) | (~(Y!0 = cell25))) | (Y!0 = cell25)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9126,plain,
% 2.37/2.41 ((~(X!1 = cell35)) | (~(Y!0 = cell25))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9125, 8372])).
% 2.37/2.41 tff(9127,plain,
% 2.37/2.41 (((~(X!1 = cell36)) | (~(Y!0 = cell26))) | (Y!0 = cell26)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9128,plain,
% 2.37/2.41 ((~(X!1 = cell36)) | (~(Y!0 = cell26))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9127, 8383])).
% 2.37/2.41 tff(9129,plain,
% 2.37/2.41 (((~(X!1 = cell37)) | (~(Y!0 = cell27))) | (Y!0 = cell27)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9130,plain,
% 2.37/2.41 ((~(X!1 = cell37)) | (~(Y!0 = cell27))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9129, 8394])).
% 2.37/2.41 tff(9131,plain,
% 2.37/2.41 (((~(X!1 = cell38)) | (~(Y!0 = cell28))) | (Y!0 = cell28)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9132,plain,
% 2.37/2.41 ((~(X!1 = cell38)) | (~(Y!0 = cell28))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9131, 8405])).
% 2.37/2.41 tff(9133,plain,
% 2.37/2.41 (((~(X!1 = cell39)) | (~(Y!0 = cell29))) | (Y!0 = cell29)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9134,plain,
% 2.37/2.41 ((~(X!1 = cell39)) | (~(Y!0 = cell29))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9133, 8416])).
% 2.37/2.41 tff(9135,plain,
% 2.37/2.41 ((cell90 = cell30) <=> (cell30 = cell90)),
% 2.37/2.41 inference(commutativity,[status(thm)],[])).
% 2.37/2.41 tff(9136,plain,
% 2.37/2.41 ((Y!0 = cell30) <=> (cell90 = cell30)),
% 2.37/2.41 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.41 tff(9137,plain,
% 2.37/2.41 ((Y!0 = cell30) <=> (cell30 = cell90)),
% 2.37/2.41 inference(transitivity,[status(thm)],[9136, 9135])).
% 2.37/2.41 tff(9138,plain,
% 2.37/2.41 ((cell30 = cell90) <=> (Y!0 = cell30)),
% 2.37/2.41 inference(symmetry,[status(thm)],[9137])).
% 2.37/2.41 tff(9139,plain,
% 2.37/2.41 ((~(cell30 = cell90)) <=> (~(Y!0 = cell30))),
% 2.37/2.41 inference(monotonicity,[status(thm)],[9138])).
% 2.37/2.41 tff(9140,plain,
% 2.37/2.41 ((~(cell30 = cell90)) <=> (~(cell30 = cell90))),
% 2.37/2.41 inference(rewrite,[status(thm)],[])).
% 2.37/2.41 tff(9141,axiom,(~(cell30 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49363')).
% 2.37/2.41 tff(9142,plain,
% 2.37/2.41 (~(cell30 = cell90)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9141, 9140])).
% 2.37/2.41 tff(9143,plain,
% 2.37/2.41 (~(Y!0 = cell30)),
% 2.37/2.41 inference(modus_ponens,[status(thm)],[9142, 9139])).
% 2.37/2.41 tff(9144,plain,
% 2.37/2.41 (((~(X!1 = cell40)) | (~(Y!0 = cell30))) | (Y!0 = cell30)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9145,plain,
% 2.37/2.41 ((~(X!1 = cell40)) | (~(Y!0 = cell30))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9144, 9143])).
% 2.37/2.41 tff(9146,plain,
% 2.37/2.41 (((~(X!1 = cell41)) | (~(Y!0 = cell31))) | (Y!0 = cell31)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9147,plain,
% 2.37/2.41 ((~(X!1 = cell41)) | (~(Y!0 = cell31))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9146, 8427])).
% 2.37/2.41 tff(9148,plain,
% 2.37/2.41 (((~(X!1 = cell42)) | (~(Y!0 = cell32))) | (Y!0 = cell32)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9149,plain,
% 2.37/2.41 ((~(X!1 = cell42)) | (~(Y!0 = cell32))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9148, 8438])).
% 2.37/2.41 tff(9150,plain,
% 2.37/2.41 (((~(X!1 = cell43)) | (~(Y!0 = cell33))) | (Y!0 = cell33)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9151,plain,
% 2.37/2.41 ((~(X!1 = cell43)) | (~(Y!0 = cell33))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9150, 8449])).
% 2.37/2.41 tff(9152,plain,
% 2.37/2.41 (((~(X!1 = cell44)) | (~(Y!0 = cell34))) | (Y!0 = cell34)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9153,plain,
% 2.37/2.41 ((~(X!1 = cell44)) | (~(Y!0 = cell34))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9152, 8460])).
% 2.37/2.41 tff(9154,plain,
% 2.37/2.41 (((~(X!1 = cell45)) | (~(Y!0 = cell35))) | (Y!0 = cell35)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9155,plain,
% 2.37/2.41 ((~(X!1 = cell45)) | (~(Y!0 = cell35))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9154, 8471])).
% 2.37/2.41 tff(9156,plain,
% 2.37/2.41 (((~(X!1 = cell46)) | (~(Y!0 = cell36))) | (Y!0 = cell36)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9157,plain,
% 2.37/2.41 ((~(X!1 = cell46)) | (~(Y!0 = cell36))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9156, 8482])).
% 2.37/2.41 tff(9158,plain,
% 2.37/2.41 (((~(X!1 = cell47)) | (~(Y!0 = cell37))) | (Y!0 = cell37)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9159,plain,
% 2.37/2.41 ((~(X!1 = cell47)) | (~(Y!0 = cell37))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9158, 8493])).
% 2.37/2.41 tff(9160,plain,
% 2.37/2.41 (((~(X!1 = cell48)) | (~(Y!0 = cell38))) | (Y!0 = cell38)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9161,plain,
% 2.37/2.41 ((~(X!1 = cell48)) | (~(Y!0 = cell38))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9160, 8504])).
% 2.37/2.41 tff(9162,plain,
% 2.37/2.41 (((~(X!1 = cell49)) | (~(Y!0 = cell39))) | (Y!0 = cell39)),
% 2.37/2.41 inference(tautology,[status(thm)],[])).
% 2.37/2.41 tff(9163,plain,
% 2.37/2.41 ((~(X!1 = cell49)) | (~(Y!0 = cell39))),
% 2.37/2.41 inference(unit_resolution,[status(thm)],[9162, 8515])).
% 2.37/2.41 tff(9164,plain,
% 2.37/2.41 ((cell90 = cell40) <=> (cell40 = cell90)),
% 2.37/2.41 inference(commutativity,[status(thm)],[])).
% 2.37/2.41 tff(9165,plain,
% 2.37/2.41 ((Y!0 = cell40) <=> (cell90 = cell40)),
% 2.37/2.41 inference(monotonicity,[status(thm)],[8151])).
% 2.37/2.41 tff(9166,plain,
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% 2.37/2.41 inference(transitivity,[status(thm)],[9165, 9164])).
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% 2.37/2.41 inference(symmetry,[status(thm)],[9166])).
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% 2.37/2.41 inference(monotonicity,[status(thm)],[9167])).
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% 2.37/2.41 tff(9170,axiom,(~(cell40 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48978')).
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% 2.37/2.41 inference(modus_ponens,[status(thm)],[9170, 9169])).
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% 2.37/2.41 inference(modus_ponens,[status(thm)],[9171, 9168])).
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% 2.37/2.41 inference(unit_resolution,[status(thm)],[9183, 8570])).
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% 2.37/2.41 inference(unit_resolution,[status(thm)],[9185, 8581])).
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% 2.37/2.41 inference(unit_resolution,[status(thm)],[9187, 8592])).
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% 2.37/2.41 inference(unit_resolution,[status(thm)],[9191, 8614])).
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% 2.37/2.41 inference(commutativity,[status(thm)],[])).
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% 2.37/2.41 inference(transitivity,[status(thm)],[9194, 9193])).
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% 2.37/2.41 inference(symmetry,[status(thm)],[9195])).
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% 2.37/2.41 inference(monotonicity,[status(thm)],[9196])).
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% 2.37/2.41 tff(9199,axiom,(~(cell50 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48493')).
% 2.37/2.41 tff(9200,plain,
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% 2.37/2.41 inference(modus_ponens,[status(thm)],[9199, 9198])).
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% 2.37/2.41 inference(modus_ponens,[status(thm)],[9200, 9197])).
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% 2.37/2.41 inference(unit_resolution,[status(thm)],[9202, 9201])).
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% 2.37/2.41 inference(unit_resolution,[status(thm)],[9204, 8625])).
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% 2.37/2.41 inference(transitivity,[status(thm)],[9223, 9222])).
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% 2.37/2.41 tff(9228,axiom,(~(cell60 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47908')).
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% 2.37/2.41 tff(9273,axiom,(~(cell80 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46521')).
% 2.37/2.41 tff(9274,plain,
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% 2.37/2.42 tff(9296,assumption,((~(X!1 = cell69)) | (~(Y!0 = cell68))), introduced(assumption)).
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% 2.39/2.43 inference(unit_resolution,[status(thm)],[9303, 9302])).
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% 2.39/2.43 (((~(X!1 = cell89)) | (~(Y!0 = cell88))) | (X!1 = cell89)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9306,plain,
% 2.39/2.43 ((~(X!1 = cell89)) | (~(Y!0 = cell88))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9305, 9304])).
% 2.39/2.43 tff(9307,assumption,((~(X!1 = cell69)) | (~(Y!0 = cell59))), introduced(assumption)).
% 2.39/2.43 tff(9308,assumption,((~(X!1 = cell78)) | (~(Y!0 = cell68))), introduced(assumption)).
% 2.39/2.43 tff(9309,plain,
% 2.39/2.43 (((~(X!1 = cell80)) | (~(Y!0 = cell70))) | (X!1 = cell80)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9310,plain,
% 2.39/2.43 ((~(X!1 = cell80)) | (~(Y!0 = cell70))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9309, 4549])).
% 2.39/2.43 tff(9311,plain,
% 2.39/2.43 (((~(X!1 = cell88)) | (~(Y!0 = cell78))) | (X!1 = cell88)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9312,plain,
% 2.39/2.43 ((~(X!1 = cell88)) | (~(Y!0 = cell78))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9311, 9299])).
% 2.39/2.43 tff(9313,assumption,((~(X!1 = cell12)) | (~(Y!0 = cell11))), introduced(assumption)).
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% 2.39/2.43 tff(9315,plain,
% 2.39/2.43 (((~(X!1 = cell95)) | (~(Y!0 = cell85))) | (X!1 = cell95)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9316,plain,
% 2.39/2.43 ((~(X!1 = cell95)) | (~(Y!0 = cell85))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9315, 3899])).
% 2.39/2.43 tff(9317,plain,
% 2.39/2.43 ((cell4 = cell11) <=> (cell4 = X!1)),
% 2.39/2.43 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.43 tff(9318,plain,
% 2.39/2.43 ((cell4 = cell11) <=> (X!1 = cell4)),
% 2.39/2.43 inference(transitivity,[status(thm)],[9317, 6824])).
% 2.39/2.43 tff(9319,plain,
% 2.39/2.43 ((~(cell4 = cell11)) <=> (~(X!1 = cell4))),
% 2.39/2.43 inference(monotonicity,[status(thm)],[9318])).
% 2.39/2.43 tff(9320,plain,
% 2.39/2.43 ((~(cell4 = cell11)) <=> (~(cell4 = cell11))),
% 2.39/2.43 inference(rewrite,[status(thm)],[])).
% 2.39/2.43 tff(9321,axiom,(~(cell4 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49861')).
% 2.39/2.43 tff(9322,plain,
% 2.39/2.43 (~(cell4 = cell11)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 2.39/2.43 tff(9323,plain,
% 2.39/2.43 (~(X!1 = cell4)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9322, 9319])).
% 2.39/2.43 tff(9324,plain,
% 2.39/2.43 (((~(X!1 = cell4)) | (~(Y!0 = cell3))) | (X!1 = cell4)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9325,plain,
% 2.39/2.43 ((~(X!1 = cell4)) | (~(Y!0 = cell3))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9324, 9323])).
% 2.39/2.43 tff(9326,plain,
% 2.39/2.43 ((cell5 = cell11) <=> (cell5 = X!1)),
% 2.39/2.43 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.43 tff(9327,plain,
% 2.39/2.43 ((cell5 = cell11) <=> (X!1 = cell5)),
% 2.39/2.43 inference(transitivity,[status(thm)],[9326, 6816])).
% 2.39/2.43 tff(9328,plain,
% 2.39/2.43 ((~(cell5 = cell11)) <=> (~(X!1 = cell5))),
% 2.39/2.43 inference(monotonicity,[status(thm)],[9327])).
% 2.39/2.43 tff(9329,plain,
% 2.39/2.43 ((~(cell5 = cell11)) <=> (~(cell5 = cell11))),
% 2.39/2.43 inference(rewrite,[status(thm)],[])).
% 2.39/2.43 tff(9330,axiom,(~(cell5 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49849')).
% 2.39/2.43 tff(9331,plain,
% 2.39/2.43 (~(cell5 = cell11)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9330, 9329])).
% 2.39/2.43 tff(9332,plain,
% 2.39/2.43 (~(X!1 = cell5)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9331, 9328])).
% 2.39/2.43 tff(9333,plain,
% 2.39/2.43 (((~(X!1 = cell5)) | (~(Y!0 = cell4))) | (X!1 = cell5)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9334,plain,
% 2.39/2.43 ((~(X!1 = cell5)) | (~(Y!0 = cell4))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9333, 9332])).
% 2.39/2.43 tff(9335,plain,
% 2.39/2.43 ((cell6 = cell11) <=> (cell6 = X!1)),
% 2.39/2.43 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.43 tff(9336,plain,
% 2.39/2.43 ((cell6 = cell11) <=> (X!1 = cell6)),
% 2.39/2.43 inference(transitivity,[status(thm)],[9335, 6808])).
% 2.39/2.43 tff(9337,plain,
% 2.39/2.43 ((~(cell6 = cell11)) <=> (~(X!1 = cell6))),
% 2.39/2.43 inference(monotonicity,[status(thm)],[9336])).
% 2.39/2.43 tff(9338,plain,
% 2.39/2.43 ((~(cell6 = cell11)) <=> (~(cell6 = cell11))),
% 2.39/2.43 inference(rewrite,[status(thm)],[])).
% 2.39/2.43 tff(9339,axiom,(~(cell6 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49836')).
% 2.39/2.43 tff(9340,plain,
% 2.39/2.43 (~(cell6 = cell11)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 2.39/2.43 tff(9341,plain,
% 2.39/2.43 (~(X!1 = cell6)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9340, 9337])).
% 2.39/2.43 tff(9342,plain,
% 2.39/2.43 (((~(X!1 = cell6)) | (~(Y!0 = cell5))) | (X!1 = cell6)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9343,plain,
% 2.39/2.43 ((~(X!1 = cell6)) | (~(Y!0 = cell5))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9342, 9341])).
% 2.39/2.43 tff(9344,plain,
% 2.39/2.43 ((cell7 = cell11) <=> (cell7 = X!1)),
% 2.39/2.43 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.43 tff(9345,plain,
% 2.39/2.43 ((cell7 = cell11) <=> (X!1 = cell7)),
% 2.39/2.43 inference(transitivity,[status(thm)],[9344, 6800])).
% 2.39/2.43 tff(9346,plain,
% 2.39/2.43 ((~(cell7 = cell11)) <=> (~(X!1 = cell7))),
% 2.39/2.43 inference(monotonicity,[status(thm)],[9345])).
% 2.39/2.43 tff(9347,plain,
% 2.39/2.43 ((~(cell7 = cell11)) <=> (~(cell7 = cell11))),
% 2.39/2.43 inference(rewrite,[status(thm)],[])).
% 2.39/2.43 tff(9348,axiom,(~(cell7 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49822')).
% 2.39/2.43 tff(9349,plain,
% 2.39/2.43 (~(cell7 = cell11)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9348, 9347])).
% 2.39/2.43 tff(9350,plain,
% 2.39/2.43 (~(X!1 = cell7)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9349, 9346])).
% 2.39/2.43 tff(9351,plain,
% 2.39/2.43 (((~(X!1 = cell7)) | (~(Y!0 = cell6))) | (X!1 = cell7)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9352,plain,
% 2.39/2.43 ((~(X!1 = cell7)) | (~(Y!0 = cell6))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9351, 9350])).
% 2.39/2.43 tff(9353,plain,
% 2.39/2.43 ((cell8 = cell11) <=> (cell8 = X!1)),
% 2.39/2.43 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.43 tff(9354,plain,
% 2.39/2.43 ((cell8 = cell11) <=> (X!1 = cell8)),
% 2.39/2.43 inference(transitivity,[status(thm)],[9353, 6792])).
% 2.39/2.43 tff(9355,plain,
% 2.39/2.43 ((~(cell8 = cell11)) <=> (~(X!1 = cell8))),
% 2.39/2.43 inference(monotonicity,[status(thm)],[9354])).
% 2.39/2.43 tff(9356,plain,
% 2.39/2.43 ((~(cell8 = cell11)) <=> (~(cell8 = cell11))),
% 2.39/2.43 inference(rewrite,[status(thm)],[])).
% 2.39/2.43 tff(9357,axiom,(~(cell8 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49807')).
% 2.39/2.43 tff(9358,plain,
% 2.39/2.43 (~(cell8 = cell11)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9357, 9356])).
% 2.39/2.43 tff(9359,plain,
% 2.39/2.43 (~(X!1 = cell8)),
% 2.39/2.43 inference(modus_ponens,[status(thm)],[9358, 9355])).
% 2.39/2.43 tff(9360,plain,
% 2.39/2.43 (((~(X!1 = cell8)) | (~(Y!0 = cell7))) | (X!1 = cell8)),
% 2.39/2.43 inference(tautology,[status(thm)],[])).
% 2.39/2.43 tff(9361,plain,
% 2.39/2.43 ((~(X!1 = cell8)) | (~(Y!0 = cell7))),
% 2.39/2.43 inference(unit_resolution,[status(thm)],[9360, 9359])).
% 2.39/2.43 tff(9362,plain,
% 2.39/2.43 ((cell9 = cell11) <=> (cell9 = X!1)),
% 2.39/2.43 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.43 tff(9363,plain,
% 2.39/2.43 ((cell9 = cell11) <=> (X!1 = cell9)),
% 2.39/2.43 inference(transitivity,[status(thm)],[9362, 6784])).
% 2.39/2.43 tff(9364,plain,
% 2.39/2.44 ((~(cell9 = cell11)) <=> (~(X!1 = cell9))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9363])).
% 2.39/2.44 tff(9365,plain,
% 2.39/2.44 ((~(cell9 = cell11)) <=> (~(cell9 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9366,axiom,(~(cell9 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49791')).
% 2.39/2.44 tff(9367,plain,
% 2.39/2.44 (~(cell9 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9366, 9365])).
% 2.39/2.44 tff(9368,plain,
% 2.39/2.44 (~(X!1 = cell9)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9367, 9364])).
% 2.39/2.44 tff(9369,plain,
% 2.39/2.44 (((~(X!1 = cell9)) | (~(Y!0 = cell8))) | (X!1 = cell9)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9370,plain,
% 2.39/2.44 ((~(X!1 = cell9)) | (~(Y!0 = cell8))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9369, 9368])).
% 2.39/2.44 tff(9371,plain,
% 2.39/2.44 ((cell10 = cell11) <=> (cell10 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9372,plain,
% 2.39/2.44 ((cell10 = cell11) <=> (X!1 = cell10)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9371, 6776])).
% 2.39/2.44 tff(9373,plain,
% 2.39/2.44 ((~(cell10 = cell11)) <=> (~(X!1 = cell10))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9372])).
% 2.39/2.44 tff(9374,plain,
% 2.39/2.44 ((~(cell10 = cell11)) <=> (~(cell10 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9375,axiom,(~(cell10 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49774')).
% 2.39/2.44 tff(9376,plain,
% 2.39/2.44 (~(cell10 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9375, 9374])).
% 2.39/2.44 tff(9377,plain,
% 2.39/2.44 (~(X!1 = cell10)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9376, 9373])).
% 2.39/2.44 tff(9378,plain,
% 2.39/2.44 (((~(X!1 = cell10)) | (~(Y!0 = cell9))) | (X!1 = cell10)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9379,plain,
% 2.39/2.44 ((~(X!1 = cell10)) | (~(Y!0 = cell9))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9378, 9377])).
% 2.39/2.44 tff(9380,plain,
% 2.39/2.44 (((~(X!1 = cell96)) | (~(Y!0 = cell86))) | (X!1 = cell96)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9381,plain,
% 2.39/2.44 ((~(X!1 = cell96)) | (~(Y!0 = cell86))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9380, 3908])).
% 2.39/2.44 tff(9382,plain,
% 2.39/2.44 ((cell11 = cell13) <=> (X!1 = cell13)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9383,plain,
% 2.39/2.44 ((~(cell11 = cell13)) <=> (~(X!1 = cell13))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9382])).
% 2.39/2.44 tff(9384,plain,
% 2.39/2.44 ((~(cell11 = cell13)) <=> (~(cell11 = cell13))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9385,axiom,(~(cell11 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49926')).
% 2.39/2.44 tff(9386,plain,
% 2.39/2.44 (~(cell11 = cell13)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9385, 9384])).
% 2.39/2.44 tff(9387,plain,
% 2.39/2.44 (~(X!1 = cell13)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9386, 9383])).
% 2.39/2.44 tff(9388,plain,
% 2.39/2.44 ((~(X!1 = cell13)) | (~(Y!0 = cell12))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[8263, 9387])).
% 2.39/2.44 tff(9389,plain,
% 2.39/2.44 ((cell15 = cell11) <=> (cell15 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9390,plain,
% 2.39/2.44 ((cell15 = cell11) <=> (X!1 = cell15)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9389, 6768])).
% 2.39/2.44 tff(9391,plain,
% 2.39/2.44 ((~(cell15 = cell11)) <=> (~(X!1 = cell15))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9390])).
% 2.39/2.44 tff(9392,plain,
% 2.39/2.44 ((~(cell15 = cell11)) <=> (~(cell15 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9393,axiom,(~(cell15 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49737')).
% 2.39/2.44 tff(9394,plain,
% 2.39/2.44 (~(cell15 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 2.39/2.44 tff(9395,plain,
% 2.39/2.44 (~(X!1 = cell15)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9394, 9391])).
% 2.39/2.44 tff(9396,plain,
% 2.39/2.44 (((~(X!1 = cell15)) | (~(Y!0 = cell14))) | (X!1 = cell15)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9397,plain,
% 2.39/2.44 ((~(X!1 = cell15)) | (~(Y!0 = cell14))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9396, 9395])).
% 2.39/2.44 tff(9398,plain,
% 2.39/2.44 ((cell16 = cell11) <=> (cell16 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9399,plain,
% 2.39/2.44 ((cell16 = cell11) <=> (X!1 = cell16)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9398, 6760])).
% 2.39/2.44 tff(9400,plain,
% 2.39/2.44 ((~(cell16 = cell11)) <=> (~(X!1 = cell16))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9399])).
% 2.39/2.44 tff(9401,plain,
% 2.39/2.44 ((~(cell16 = cell11)) <=> (~(cell16 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9402,axiom,(~(cell16 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49717')).
% 2.39/2.44 tff(9403,plain,
% 2.39/2.44 (~(cell16 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 2.39/2.44 tff(9404,plain,
% 2.39/2.44 (~(X!1 = cell16)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9403, 9400])).
% 2.39/2.44 tff(9405,plain,
% 2.39/2.44 (((~(X!1 = cell16)) | (~(Y!0 = cell15))) | (X!1 = cell16)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9406,plain,
% 2.39/2.44 ((~(X!1 = cell16)) | (~(Y!0 = cell15))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9405, 9404])).
% 2.39/2.44 tff(9407,plain,
% 2.39/2.44 ((cell17 = cell11) <=> (cell17 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9408,plain,
% 2.39/2.44 ((cell17 = cell11) <=> (X!1 = cell17)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9407, 6752])).
% 2.39/2.44 tff(9409,plain,
% 2.39/2.44 ((~(cell17 = cell11)) <=> (~(X!1 = cell17))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9408])).
% 2.39/2.44 tff(9410,plain,
% 2.39/2.44 ((~(cell17 = cell11)) <=> (~(cell17 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9411,axiom,(~(cell17 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49696')).
% 2.39/2.44 tff(9412,plain,
% 2.39/2.44 (~(cell17 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9411, 9410])).
% 2.39/2.44 tff(9413,plain,
% 2.39/2.44 (~(X!1 = cell17)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9412, 9409])).
% 2.39/2.44 tff(9414,plain,
% 2.39/2.44 (((~(X!1 = cell17)) | (~(Y!0 = cell16))) | (X!1 = cell17)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9415,plain,
% 2.39/2.44 ((~(X!1 = cell17)) | (~(Y!0 = cell16))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9414, 9413])).
% 2.39/2.44 tff(9416,plain,
% 2.39/2.44 ((cell18 = cell11) <=> (cell18 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9417,plain,
% 2.39/2.44 ((cell18 = cell11) <=> (X!1 = cell18)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9416, 6744])).
% 2.39/2.44 tff(9418,plain,
% 2.39/2.44 ((~(cell18 = cell11)) <=> (~(X!1 = cell18))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9417])).
% 2.39/2.44 tff(9419,plain,
% 2.39/2.44 ((~(cell18 = cell11)) <=> (~(cell18 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9420,axiom,(~(cell18 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49674')).
% 2.39/2.44 tff(9421,plain,
% 2.39/2.44 (~(cell18 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9420, 9419])).
% 2.39/2.44 tff(9422,plain,
% 2.39/2.44 (~(X!1 = cell18)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9421, 9418])).
% 2.39/2.44 tff(9423,plain,
% 2.39/2.44 (((~(X!1 = cell18)) | (~(Y!0 = cell17))) | (X!1 = cell18)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9424,plain,
% 2.39/2.44 ((~(X!1 = cell18)) | (~(Y!0 = cell17))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9423, 9422])).
% 2.39/2.44 tff(9425,plain,
% 2.39/2.44 ((cell19 = cell11) <=> (cell19 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9426,plain,
% 2.39/2.44 ((cell19 = cell11) <=> (X!1 = cell19)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9425, 6736])).
% 2.39/2.44 tff(9427,plain,
% 2.39/2.44 ((~(cell19 = cell11)) <=> (~(X!1 = cell19))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9426])).
% 2.39/2.44 tff(9428,plain,
% 2.39/2.44 ((~(cell19 = cell11)) <=> (~(cell19 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9429,axiom,(~(cell19 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49651')).
% 2.39/2.44 tff(9430,plain,
% 2.39/2.44 (~(cell19 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9429, 9428])).
% 2.39/2.44 tff(9431,plain,
% 2.39/2.44 (~(X!1 = cell19)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9430, 9427])).
% 2.39/2.44 tff(9432,plain,
% 2.39/2.44 (((~(X!1 = cell19)) | (~(Y!0 = cell18))) | (X!1 = cell19)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9433,plain,
% 2.39/2.44 ((~(X!1 = cell19)) | (~(Y!0 = cell18))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9432, 9431])).
% 2.39/2.44 tff(9434,plain,
% 2.39/2.44 ((cell20 = cell11) <=> (cell20 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9435,plain,
% 2.39/2.44 ((cell20 = cell11) <=> (X!1 = cell20)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9434, 6728])).
% 2.39/2.44 tff(9436,plain,
% 2.39/2.44 ((~(cell20 = cell11)) <=> (~(X!1 = cell20))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9435])).
% 2.39/2.44 tff(9437,plain,
% 2.39/2.44 ((~(cell20 = cell11)) <=> (~(cell20 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9438,axiom,(~(cell20 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49627')).
% 2.39/2.44 tff(9439,plain,
% 2.39/2.44 (~(cell20 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9438, 9437])).
% 2.39/2.44 tff(9440,plain,
% 2.39/2.44 (~(X!1 = cell20)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9439, 9436])).
% 2.39/2.44 tff(9441,plain,
% 2.39/2.44 (((~(X!1 = cell20)) | (~(Y!0 = cell19))) | (X!1 = cell20)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9442,plain,
% 2.39/2.44 ((~(X!1 = cell20)) | (~(Y!0 = cell19))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9441, 9440])).
% 2.39/2.44 tff(9443,plain,
% 2.39/2.44 ((cell11 = cell22) <=> (X!1 = cell22)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9444,plain,
% 2.39/2.44 ((cell11 = cell22) <=> (cell22 = X!1)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9443, 7436])).
% 2.39/2.44 tff(9445,plain,
% 2.39/2.44 ((cell11 = cell22) <=> (X!1 = cell22)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9444, 7437])).
% 2.39/2.44 tff(9446,plain,
% 2.39/2.44 ((~(cell11 = cell22)) <=> (~(X!1 = cell22))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9445])).
% 2.39/2.44 tff(9447,plain,
% 2.39/2.44 (~(X!1 = cell22)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[6205, 9446])).
% 2.39/2.44 tff(9448,plain,
% 2.39/2.44 (((~(X!1 = cell22)) | (~(Y!0 = cell21))) | (X!1 = cell22)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9449,plain,
% 2.39/2.44 ((~(X!1 = cell22)) | (~(Y!0 = cell21))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9448, 9447])).
% 2.39/2.44 tff(9450,plain,
% 2.39/2.44 ((cell24 = cell11) <=> (cell24 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9451,plain,
% 2.39/2.44 ((cell24 = cell11) <=> (X!1 = cell24)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9450, 6720])).
% 2.39/2.44 tff(9452,plain,
% 2.39/2.44 ((~(cell24 = cell11)) <=> (~(X!1 = cell24))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9451])).
% 2.39/2.44 tff(9453,plain,
% 2.39/2.44 ((~(cell24 = cell11)) <=> (~(cell24 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9454,axiom,(~(cell24 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49549')).
% 2.39/2.44 tff(9455,plain,
% 2.39/2.44 (~(cell24 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9454, 9453])).
% 2.39/2.44 tff(9456,plain,
% 2.39/2.44 (~(X!1 = cell24)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9455, 9452])).
% 2.39/2.44 tff(9457,plain,
% 2.39/2.44 (((~(X!1 = cell24)) | (~(Y!0 = cell23))) | (X!1 = cell24)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9458,plain,
% 2.39/2.44 ((~(X!1 = cell24)) | (~(Y!0 = cell23))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9457, 9456])).
% 2.39/2.44 tff(9459,plain,
% 2.39/2.44 ((cell25 = cell11) <=> (cell25 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9460,plain,
% 2.39/2.44 ((cell25 = cell11) <=> (X!1 = cell25)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9459, 6712])).
% 2.39/2.44 tff(9461,plain,
% 2.39/2.44 ((~(cell25 = cell11)) <=> (~(X!1 = cell25))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9460])).
% 2.39/2.44 tff(9462,plain,
% 2.39/2.44 ((~(cell25 = cell11)) <=> (~(cell25 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9463,axiom,(~(cell25 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49521')).
% 2.39/2.44 tff(9464,plain,
% 2.39/2.44 (~(cell25 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9463, 9462])).
% 2.39/2.44 tff(9465,plain,
% 2.39/2.44 (~(X!1 = cell25)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9464, 9461])).
% 2.39/2.44 tff(9466,plain,
% 2.39/2.44 (((~(X!1 = cell25)) | (~(Y!0 = cell24))) | (X!1 = cell25)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9467,plain,
% 2.39/2.44 ((~(X!1 = cell25)) | (~(Y!0 = cell24))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9466, 9465])).
% 2.39/2.44 tff(9468,plain,
% 2.39/2.44 ((cell26 = cell11) <=> (cell26 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9469,plain,
% 2.39/2.44 ((cell26 = cell11) <=> (X!1 = cell26)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9468, 6704])).
% 2.39/2.44 tff(9470,plain,
% 2.39/2.44 ((~(cell26 = cell11)) <=> (~(X!1 = cell26))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9469])).
% 2.39/2.44 tff(9471,plain,
% 2.39/2.44 ((~(cell26 = cell11)) <=> (~(cell26 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9472,axiom,(~(cell26 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49492')).
% 2.39/2.44 tff(9473,plain,
% 2.39/2.44 (~(cell26 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9472, 9471])).
% 2.39/2.44 tff(9474,plain,
% 2.39/2.44 (~(X!1 = cell26)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9473, 9470])).
% 2.39/2.44 tff(9475,plain,
% 2.39/2.44 (((~(X!1 = cell26)) | (~(Y!0 = cell25))) | (X!1 = cell26)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9476,plain,
% 2.39/2.44 ((~(X!1 = cell26)) | (~(Y!0 = cell25))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9475, 9474])).
% 2.39/2.44 tff(9477,plain,
% 2.39/2.44 ((cell27 = cell11) <=> (cell27 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9478,plain,
% 2.39/2.44 ((cell27 = cell11) <=> (X!1 = cell27)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9477, 6696])).
% 2.39/2.44 tff(9479,plain,
% 2.39/2.44 ((~(cell27 = cell11)) <=> (~(X!1 = cell27))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9478])).
% 2.39/2.44 tff(9480,plain,
% 2.39/2.44 ((~(cell27 = cell11)) <=> (~(cell27 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9481,axiom,(~(cell27 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49462')).
% 2.39/2.44 tff(9482,plain,
% 2.39/2.44 (~(cell27 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 2.39/2.44 tff(9483,plain,
% 2.39/2.44 (~(X!1 = cell27)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9482, 9479])).
% 2.39/2.44 tff(9484,plain,
% 2.39/2.44 (((~(X!1 = cell27)) | (~(Y!0 = cell26))) | (X!1 = cell27)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9485,plain,
% 2.39/2.44 ((~(X!1 = cell27)) | (~(Y!0 = cell26))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9484, 9483])).
% 2.39/2.44 tff(9486,plain,
% 2.39/2.44 ((cell28 = cell11) <=> (cell28 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9487,plain,
% 2.39/2.44 ((cell28 = cell11) <=> (X!1 = cell28)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9486, 6688])).
% 2.39/2.44 tff(9488,plain,
% 2.39/2.44 ((~(cell28 = cell11)) <=> (~(X!1 = cell28))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9487])).
% 2.39/2.44 tff(9489,plain,
% 2.39/2.44 ((~(cell28 = cell11)) <=> (~(cell28 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9490,axiom,(~(cell28 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49431')).
% 2.39/2.44 tff(9491,plain,
% 2.39/2.44 (~(cell28 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9490, 9489])).
% 2.39/2.44 tff(9492,plain,
% 2.39/2.44 (~(X!1 = cell28)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9491, 9488])).
% 2.39/2.44 tff(9493,plain,
% 2.39/2.44 (((~(X!1 = cell28)) | (~(Y!0 = cell27))) | (X!1 = cell28)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9494,plain,
% 2.39/2.44 ((~(X!1 = cell28)) | (~(Y!0 = cell27))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9493, 9492])).
% 2.39/2.44 tff(9495,plain,
% 2.39/2.44 ((cell29 = cell11) <=> (cell29 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9496,plain,
% 2.39/2.44 ((cell29 = cell11) <=> (X!1 = cell29)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9495, 6680])).
% 2.39/2.44 tff(9497,plain,
% 2.39/2.44 ((~(cell29 = cell11)) <=> (~(X!1 = cell29))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9496])).
% 2.39/2.44 tff(9498,plain,
% 2.39/2.44 ((~(cell29 = cell11)) <=> (~(cell29 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9499,axiom,(~(cell29 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49399')).
% 2.39/2.44 tff(9500,plain,
% 2.39/2.44 (~(cell29 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9499, 9498])).
% 2.39/2.44 tff(9501,plain,
% 2.39/2.44 (~(X!1 = cell29)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9500, 9497])).
% 2.39/2.44 tff(9502,plain,
% 2.39/2.44 (((~(X!1 = cell29)) | (~(Y!0 = cell28))) | (X!1 = cell29)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9503,plain,
% 2.39/2.44 ((~(X!1 = cell29)) | (~(Y!0 = cell28))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9502, 9501])).
% 2.39/2.44 tff(9504,plain,
% 2.39/2.44 ((cell30 = cell11) <=> (cell30 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9505,plain,
% 2.39/2.44 ((cell30 = cell11) <=> (X!1 = cell30)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9504, 6672])).
% 2.39/2.44 tff(9506,plain,
% 2.39/2.44 ((~(cell30 = cell11)) <=> (~(X!1 = cell30))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9505])).
% 2.39/2.44 tff(9507,plain,
% 2.39/2.44 ((~(cell30 = cell11)) <=> (~(cell30 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9508,axiom,(~(cell30 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49366')).
% 2.39/2.44 tff(9509,plain,
% 2.39/2.44 (~(cell30 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 2.39/2.44 tff(9510,plain,
% 2.39/2.44 (~(X!1 = cell30)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9509, 9506])).
% 2.39/2.44 tff(9511,plain,
% 2.39/2.44 (((~(X!1 = cell30)) | (~(Y!0 = cell29))) | (X!1 = cell30)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9512,plain,
% 2.39/2.44 ((~(X!1 = cell30)) | (~(Y!0 = cell29))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9511, 9510])).
% 2.39/2.44 tff(9513,plain,
% 2.39/2.44 ((cell32 = cell11) <=> (cell32 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9514,plain,
% 2.39/2.44 ((cell32 = cell11) <=> (X!1 = cell32)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9513, 6664])).
% 2.39/2.44 tff(9515,plain,
% 2.39/2.44 ((~(cell32 = cell11)) <=> (~(X!1 = cell32))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9514])).
% 2.39/2.44 tff(9516,plain,
% 2.39/2.44 ((~(cell32 = cell11)) <=> (~(cell32 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9517,axiom,(~(cell32 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49332')).
% 2.39/2.44 tff(9518,plain,
% 2.39/2.44 (~(cell32 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9517, 9516])).
% 2.39/2.44 tff(9519,plain,
% 2.39/2.44 (~(X!1 = cell32)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9518, 9515])).
% 2.39/2.44 tff(9520,plain,
% 2.39/2.44 (((~(X!1 = cell32)) | (~(Y!0 = cell31))) | (X!1 = cell32)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9521,plain,
% 2.39/2.44 ((~(X!1 = cell32)) | (~(Y!0 = cell31))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9520, 9519])).
% 2.39/2.44 tff(9522,plain,
% 2.39/2.44 ((cell33 = cell11) <=> (cell33 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9523,plain,
% 2.39/2.44 ((cell33 = cell11) <=> (X!1 = cell33)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9522, 6656])).
% 2.39/2.44 tff(9524,plain,
% 2.39/2.44 ((~(cell33 = cell11)) <=> (~(X!1 = cell33))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9523])).
% 2.39/2.44 tff(9525,plain,
% 2.39/2.44 ((~(cell33 = cell11)) <=> (~(cell33 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9526,axiom,(~(cell33 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49261')).
% 2.39/2.44 tff(9527,plain,
% 2.39/2.44 (~(cell33 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9526, 9525])).
% 2.39/2.44 tff(9528,plain,
% 2.39/2.44 (~(X!1 = cell33)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9527, 9524])).
% 2.39/2.44 tff(9529,plain,
% 2.39/2.44 (((~(X!1 = cell33)) | (~(Y!0 = cell32))) | (X!1 = cell33)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9530,plain,
% 2.39/2.44 ((~(X!1 = cell33)) | (~(Y!0 = cell32))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9529, 9528])).
% 2.39/2.44 tff(9531,plain,
% 2.39/2.44 ((cell34 = cell11) <=> (cell34 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9532,plain,
% 2.39/2.44 ((cell34 = cell11) <=> (X!1 = cell34)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9531, 6648])).
% 2.39/2.44 tff(9533,plain,
% 2.39/2.44 ((~(cell34 = cell11)) <=> (~(X!1 = cell34))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9532])).
% 2.39/2.44 tff(9534,plain,
% 2.39/2.44 ((~(cell34 = cell11)) <=> (~(cell34 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9535,axiom,(~(cell34 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49224')).
% 2.39/2.44 tff(9536,plain,
% 2.39/2.44 (~(cell34 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 2.39/2.44 tff(9537,plain,
% 2.39/2.44 (~(X!1 = cell34)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9536, 9533])).
% 2.39/2.44 tff(9538,plain,
% 2.39/2.44 (((~(X!1 = cell34)) | (~(Y!0 = cell33))) | (X!1 = cell34)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9539,plain,
% 2.39/2.44 ((~(X!1 = cell34)) | (~(Y!0 = cell33))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9538, 9537])).
% 2.39/2.44 tff(9540,plain,
% 2.39/2.44 ((cell35 = cell11) <=> (cell35 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9541,plain,
% 2.39/2.44 ((cell35 = cell11) <=> (X!1 = cell35)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9540, 6640])).
% 2.39/2.44 tff(9542,plain,
% 2.39/2.44 ((~(cell35 = cell11)) <=> (~(X!1 = cell35))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9541])).
% 2.39/2.44 tff(9543,plain,
% 2.39/2.44 ((~(cell35 = cell11)) <=> (~(cell35 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9544,axiom,(~(cell35 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49186')).
% 2.39/2.44 tff(9545,plain,
% 2.39/2.44 (~(cell35 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 2.39/2.44 tff(9546,plain,
% 2.39/2.44 (~(X!1 = cell35)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9545, 9542])).
% 2.39/2.44 tff(9547,plain,
% 2.39/2.44 (((~(X!1 = cell35)) | (~(Y!0 = cell34))) | (X!1 = cell35)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9548,plain,
% 2.39/2.44 ((~(X!1 = cell35)) | (~(Y!0 = cell34))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9547, 9546])).
% 2.39/2.44 tff(9549,plain,
% 2.39/2.44 ((cell36 = cell11) <=> (cell36 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9550,plain,
% 2.39/2.44 ((cell36 = cell11) <=> (X!1 = cell36)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9549, 6632])).
% 2.39/2.44 tff(9551,plain,
% 2.39/2.44 ((~(cell36 = cell11)) <=> (~(X!1 = cell36))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9550])).
% 2.39/2.44 tff(9552,plain,
% 2.39/2.44 ((~(cell36 = cell11)) <=> (~(cell36 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9553,axiom,(~(cell36 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49147')).
% 2.39/2.44 tff(9554,plain,
% 2.39/2.44 (~(cell36 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9553, 9552])).
% 2.39/2.44 tff(9555,plain,
% 2.39/2.44 (~(X!1 = cell36)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9554, 9551])).
% 2.39/2.44 tff(9556,plain,
% 2.39/2.44 (((~(X!1 = cell36)) | (~(Y!0 = cell35))) | (X!1 = cell36)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9557,plain,
% 2.39/2.44 ((~(X!1 = cell36)) | (~(Y!0 = cell35))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9556, 9555])).
% 2.39/2.44 tff(9558,plain,
% 2.39/2.44 ((cell37 = cell11) <=> (cell37 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9559,plain,
% 2.39/2.44 ((cell37 = cell11) <=> (X!1 = cell37)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9558, 6624])).
% 2.39/2.44 tff(9560,plain,
% 2.39/2.44 ((~(cell37 = cell11)) <=> (~(X!1 = cell37))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9559])).
% 2.39/2.44 tff(9561,plain,
% 2.39/2.44 ((~(cell37 = cell11)) <=> (~(cell37 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9562,axiom,(~(cell37 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49107')).
% 2.39/2.44 tff(9563,plain,
% 2.39/2.44 (~(cell37 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9562, 9561])).
% 2.39/2.44 tff(9564,plain,
% 2.39/2.44 (~(X!1 = cell37)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9563, 9560])).
% 2.39/2.44 tff(9565,plain,
% 2.39/2.44 (((~(X!1 = cell37)) | (~(Y!0 = cell36))) | (X!1 = cell37)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9566,plain,
% 2.39/2.44 ((~(X!1 = cell37)) | (~(Y!0 = cell36))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9565, 9564])).
% 2.39/2.44 tff(9567,plain,
% 2.39/2.44 ((cell38 = cell11) <=> (cell38 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9568,plain,
% 2.39/2.44 ((cell38 = cell11) <=> (X!1 = cell38)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9567, 6616])).
% 2.39/2.44 tff(9569,plain,
% 2.39/2.44 ((~(cell38 = cell11)) <=> (~(X!1 = cell38))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9568])).
% 2.39/2.44 tff(9570,plain,
% 2.39/2.44 ((~(cell38 = cell11)) <=> (~(cell38 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9571,axiom,(~(cell38 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49066')).
% 2.39/2.44 tff(9572,plain,
% 2.39/2.44 (~(cell38 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9571, 9570])).
% 2.39/2.44 tff(9573,plain,
% 2.39/2.44 (~(X!1 = cell38)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9572, 9569])).
% 2.39/2.44 tff(9574,plain,
% 2.39/2.44 (((~(X!1 = cell38)) | (~(Y!0 = cell37))) | (X!1 = cell38)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9575,plain,
% 2.39/2.44 ((~(X!1 = cell38)) | (~(Y!0 = cell37))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9574, 9573])).
% 2.39/2.44 tff(9576,plain,
% 2.39/2.44 ((cell39 = cell11) <=> (cell39 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9577,plain,
% 2.39/2.44 ((cell39 = cell11) <=> (X!1 = cell39)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9576, 6608])).
% 2.39/2.44 tff(9578,plain,
% 2.39/2.44 ((~(cell39 = cell11)) <=> (~(X!1 = cell39))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9577])).
% 2.39/2.44 tff(9579,plain,
% 2.39/2.44 ((~(cell39 = cell11)) <=> (~(cell39 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9580,axiom,(~(cell39 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49024')).
% 2.39/2.44 tff(9581,plain,
% 2.39/2.44 (~(cell39 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 2.39/2.44 tff(9582,plain,
% 2.39/2.44 (~(X!1 = cell39)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9581, 9578])).
% 2.39/2.44 tff(9583,plain,
% 2.39/2.44 (((~(X!1 = cell39)) | (~(Y!0 = cell38))) | (X!1 = cell39)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9584,plain,
% 2.39/2.44 ((~(X!1 = cell39)) | (~(Y!0 = cell38))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9583, 9582])).
% 2.39/2.44 tff(9585,plain,
% 2.39/2.44 ((cell40 = cell11) <=> (cell40 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9586,plain,
% 2.39/2.44 ((cell40 = cell11) <=> (X!1 = cell40)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9585, 6600])).
% 2.39/2.44 tff(9587,plain,
% 2.39/2.44 ((~(cell40 = cell11)) <=> (~(X!1 = cell40))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9586])).
% 2.39/2.44 tff(9588,plain,
% 2.39/2.44 ((~(cell40 = cell11)) <=> (~(cell40 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9589,axiom,(~(cell40 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48981')).
% 2.39/2.44 tff(9590,plain,
% 2.39/2.44 (~(cell40 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9589, 9588])).
% 2.39/2.44 tff(9591,plain,
% 2.39/2.44 (~(X!1 = cell40)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9590, 9587])).
% 2.39/2.44 tff(9592,plain,
% 2.39/2.44 (((~(X!1 = cell40)) | (~(Y!0 = cell39))) | (X!1 = cell40)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9593,plain,
% 2.39/2.44 ((~(X!1 = cell40)) | (~(Y!0 = cell39))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9592, 9591])).
% 2.39/2.44 tff(9594,plain,
% 2.39/2.44 ((cell42 = cell11) <=> (cell42 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9595,plain,
% 2.39/2.44 ((cell42 = cell11) <=> (X!1 = cell42)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9594, 6592])).
% 2.39/2.44 tff(9596,plain,
% 2.39/2.44 ((~(cell42 = cell11)) <=> (~(X!1 = cell42))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9595])).
% 2.39/2.44 tff(9597,plain,
% 2.39/2.44 ((~(cell42 = cell11)) <=> (~(cell42 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9598,axiom,(~(cell42 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48937')).
% 2.39/2.44 tff(9599,plain,
% 2.39/2.44 (~(cell42 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9598, 9597])).
% 2.39/2.44 tff(9600,plain,
% 2.39/2.44 (~(X!1 = cell42)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9599, 9596])).
% 2.39/2.44 tff(9601,plain,
% 2.39/2.44 (((~(X!1 = cell42)) | (~(Y!0 = cell41))) | (X!1 = cell42)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9602,plain,
% 2.39/2.44 ((~(X!1 = cell42)) | (~(Y!0 = cell41))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9601, 9600])).
% 2.39/2.44 tff(9603,plain,
% 2.39/2.44 ((cell43 = cell11) <=> (cell43 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9604,plain,
% 2.39/2.44 ((cell43 = cell11) <=> (X!1 = cell43)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9603, 6584])).
% 2.39/2.44 tff(9605,plain,
% 2.39/2.44 ((~(cell43 = cell11)) <=> (~(X!1 = cell43))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9604])).
% 2.39/2.44 tff(9606,plain,
% 2.39/2.44 ((~(cell43 = cell11)) <=> (~(cell43 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9607,axiom,(~(cell43 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48846')).
% 2.39/2.44 tff(9608,plain,
% 2.39/2.44 (~(cell43 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 2.39/2.44 tff(9609,plain,
% 2.39/2.44 (~(X!1 = cell43)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9608, 9605])).
% 2.39/2.44 tff(9610,plain,
% 2.39/2.44 (((~(X!1 = cell43)) | (~(Y!0 = cell42))) | (X!1 = cell43)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9611,plain,
% 2.39/2.44 ((~(X!1 = cell43)) | (~(Y!0 = cell42))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9610, 9609])).
% 2.39/2.44 tff(9612,plain,
% 2.39/2.44 ((cell44 = cell11) <=> (cell44 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9613,plain,
% 2.39/2.44 ((cell44 = cell11) <=> (X!1 = cell44)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9612, 6576])).
% 2.39/2.44 tff(9614,plain,
% 2.39/2.44 ((~(cell44 = cell11)) <=> (~(X!1 = cell44))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9613])).
% 2.39/2.44 tff(9615,plain,
% 2.39/2.44 ((~(cell44 = cell11)) <=> (~(cell44 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9616,axiom,(~(cell44 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48799')).
% 2.39/2.44 tff(9617,plain,
% 2.39/2.44 (~(cell44 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 2.39/2.44 tff(9618,plain,
% 2.39/2.44 (~(X!1 = cell44)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9617, 9614])).
% 2.39/2.44 tff(9619,plain,
% 2.39/2.44 (((~(X!1 = cell44)) | (~(Y!0 = cell43))) | (X!1 = cell44)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9620,plain,
% 2.39/2.44 ((~(X!1 = cell44)) | (~(Y!0 = cell43))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9619, 9618])).
% 2.39/2.44 tff(9621,plain,
% 2.39/2.44 ((cell45 = cell11) <=> (cell45 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9622,plain,
% 2.39/2.44 ((cell45 = cell11) <=> (X!1 = cell45)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9621, 6568])).
% 2.39/2.44 tff(9623,plain,
% 2.39/2.44 ((~(cell45 = cell11)) <=> (~(X!1 = cell45))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9622])).
% 2.39/2.44 tff(9624,plain,
% 2.39/2.44 ((~(cell45 = cell11)) <=> (~(cell45 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9625,axiom,(~(cell45 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48751')).
% 2.39/2.44 tff(9626,plain,
% 2.39/2.44 (~(cell45 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9625, 9624])).
% 2.39/2.44 tff(9627,plain,
% 2.39/2.44 (~(X!1 = cell45)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9626, 9623])).
% 2.39/2.44 tff(9628,plain,
% 2.39/2.44 (((~(X!1 = cell45)) | (~(Y!0 = cell44))) | (X!1 = cell45)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9629,plain,
% 2.39/2.44 ((~(X!1 = cell45)) | (~(Y!0 = cell44))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9628, 9627])).
% 2.39/2.44 tff(9630,plain,
% 2.39/2.44 ((cell46 = cell11) <=> (cell46 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9631,plain,
% 2.39/2.44 ((cell46 = cell11) <=> (X!1 = cell46)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9630, 6560])).
% 2.39/2.44 tff(9632,plain,
% 2.39/2.44 ((~(cell46 = cell11)) <=> (~(X!1 = cell46))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9631])).
% 2.39/2.44 tff(9633,plain,
% 2.39/2.44 ((~(cell46 = cell11)) <=> (~(cell46 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9634,axiom,(~(cell46 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48702')).
% 2.39/2.44 tff(9635,plain,
% 2.39/2.44 (~(cell46 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9634, 9633])).
% 2.39/2.44 tff(9636,plain,
% 2.39/2.44 (~(X!1 = cell46)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9635, 9632])).
% 2.39/2.44 tff(9637,plain,
% 2.39/2.44 (((~(X!1 = cell46)) | (~(Y!0 = cell45))) | (X!1 = cell46)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9638,plain,
% 2.39/2.44 ((~(X!1 = cell46)) | (~(Y!0 = cell45))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9637, 9636])).
% 2.39/2.44 tff(9639,plain,
% 2.39/2.44 ((cell47 = cell11) <=> (cell47 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9640,plain,
% 2.39/2.44 ((cell47 = cell11) <=> (X!1 = cell47)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9639, 6552])).
% 2.39/2.44 tff(9641,plain,
% 2.39/2.44 ((~(cell47 = cell11)) <=> (~(X!1 = cell47))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9640])).
% 2.39/2.44 tff(9642,plain,
% 2.39/2.44 ((~(cell47 = cell11)) <=> (~(cell47 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9643,axiom,(~(cell47 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48652')).
% 2.39/2.44 tff(9644,plain,
% 2.39/2.44 (~(cell47 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9643, 9642])).
% 2.39/2.44 tff(9645,plain,
% 2.39/2.44 (~(X!1 = cell47)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9644, 9641])).
% 2.39/2.44 tff(9646,plain,
% 2.39/2.44 (((~(X!1 = cell47)) | (~(Y!0 = cell46))) | (X!1 = cell47)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9647,plain,
% 2.39/2.44 ((~(X!1 = cell47)) | (~(Y!0 = cell46))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9646, 9645])).
% 2.39/2.44 tff(9648,plain,
% 2.39/2.44 ((cell48 = cell11) <=> (cell48 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9649,plain,
% 2.39/2.44 ((cell48 = cell11) <=> (X!1 = cell48)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9648, 6544])).
% 2.39/2.44 tff(9650,plain,
% 2.39/2.44 ((~(cell48 = cell11)) <=> (~(X!1 = cell48))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9649])).
% 2.39/2.44 tff(9651,plain,
% 2.39/2.44 ((~(cell48 = cell11)) <=> (~(cell48 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9652,axiom,(~(cell48 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48601')).
% 2.39/2.44 tff(9653,plain,
% 2.39/2.44 (~(cell48 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 2.39/2.44 tff(9654,plain,
% 2.39/2.44 (~(X!1 = cell48)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9653, 9650])).
% 2.39/2.44 tff(9655,plain,
% 2.39/2.44 (((~(X!1 = cell48)) | (~(Y!0 = cell47))) | (X!1 = cell48)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9656,plain,
% 2.39/2.44 ((~(X!1 = cell48)) | (~(Y!0 = cell47))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9655, 9654])).
% 2.39/2.44 tff(9657,plain,
% 2.39/2.44 ((cell49 = cell11) <=> (cell49 = X!1)),
% 2.39/2.44 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.44 tff(9658,plain,
% 2.39/2.44 ((cell49 = cell11) <=> (X!1 = cell49)),
% 2.39/2.44 inference(transitivity,[status(thm)],[9657, 6536])).
% 2.39/2.44 tff(9659,plain,
% 2.39/2.44 ((~(cell49 = cell11)) <=> (~(X!1 = cell49))),
% 2.39/2.44 inference(monotonicity,[status(thm)],[9658])).
% 2.39/2.44 tff(9660,plain,
% 2.39/2.44 ((~(cell49 = cell11)) <=> (~(cell49 = cell11))),
% 2.39/2.44 inference(rewrite,[status(thm)],[])).
% 2.39/2.44 tff(9661,axiom,(~(cell49 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48549')).
% 2.39/2.44 tff(9662,plain,
% 2.39/2.44 (~(cell49 = cell11)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9661, 9660])).
% 2.39/2.44 tff(9663,plain,
% 2.39/2.44 (~(X!1 = cell49)),
% 2.39/2.44 inference(modus_ponens,[status(thm)],[9662, 9659])).
% 2.39/2.44 tff(9664,plain,
% 2.39/2.44 (((~(X!1 = cell49)) | (~(Y!0 = cell48))) | (X!1 = cell49)),
% 2.39/2.44 inference(tautology,[status(thm)],[])).
% 2.39/2.44 tff(9665,plain,
% 2.39/2.44 ((~(X!1 = cell49)) | (~(Y!0 = cell48))),
% 2.39/2.44 inference(unit_resolution,[status(thm)],[9664, 9663])).
% 2.39/2.44 tff(9666,plain,
% 2.39/2.44 ((cell50 = cell11) <=> (cell50 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9667,plain,
% 2.39/2.45 ((cell50 = cell11) <=> (X!1 = cell50)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9666, 6528])).
% 2.39/2.45 tff(9668,plain,
% 2.39/2.45 ((~(cell50 = cell11)) <=> (~(X!1 = cell50))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9667])).
% 2.39/2.45 tff(9669,plain,
% 2.39/2.45 ((~(cell50 = cell11)) <=> (~(cell50 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9670,axiom,(~(cell50 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48496')).
% 2.39/2.45 tff(9671,plain,
% 2.39/2.45 (~(cell50 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9670, 9669])).
% 2.39/2.45 tff(9672,plain,
% 2.39/2.45 (~(X!1 = cell50)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9671, 9668])).
% 2.39/2.45 tff(9673,plain,
% 2.39/2.45 (((~(X!1 = cell50)) | (~(Y!0 = cell49))) | (X!1 = cell50)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9674,plain,
% 2.39/2.45 ((~(X!1 = cell50)) | (~(Y!0 = cell49))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9673, 9672])).
% 2.39/2.45 tff(9675,plain,
% 2.39/2.45 ((cell52 = cell11) <=> (cell52 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9676,plain,
% 2.39/2.45 ((cell52 = cell11) <=> (X!1 = cell52)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9675, 6520])).
% 2.39/2.45 tff(9677,plain,
% 2.39/2.45 ((~(cell52 = cell11)) <=> (~(X!1 = cell52))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9676])).
% 2.39/2.45 tff(9678,plain,
% 2.39/2.45 ((~(cell52 = cell11)) <=> (~(cell52 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9679,axiom,(~(cell52 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48442')).
% 2.39/2.45 tff(9680,plain,
% 2.39/2.45 (~(cell52 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9679, 9678])).
% 2.39/2.45 tff(9681,plain,
% 2.39/2.45 (~(X!1 = cell52)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9680, 9677])).
% 2.39/2.45 tff(9682,plain,
% 2.39/2.45 (((~(X!1 = cell52)) | (~(Y!0 = cell51))) | (X!1 = cell52)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9683,plain,
% 2.39/2.45 ((~(X!1 = cell52)) | (~(Y!0 = cell51))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9682, 9681])).
% 2.39/2.45 tff(9684,plain,
% 2.39/2.45 ((cell53 = cell11) <=> (cell53 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9685,plain,
% 2.39/2.45 ((cell53 = cell11) <=> (X!1 = cell53)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9684, 6512])).
% 2.39/2.45 tff(9686,plain,
% 2.39/2.45 ((~(cell53 = cell11)) <=> (~(X!1 = cell53))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9685])).
% 2.39/2.45 tff(9687,plain,
% 2.39/2.45 ((~(cell53 = cell11)) <=> (~(cell53 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9688,axiom,(~(cell53 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48331')).
% 2.39/2.45 tff(9689,plain,
% 2.39/2.45 (~(cell53 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 2.39/2.45 tff(9690,plain,
% 2.39/2.45 (~(X!1 = cell53)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9689, 9686])).
% 2.39/2.45 tff(9691,plain,
% 2.39/2.45 (((~(X!1 = cell53)) | (~(Y!0 = cell52))) | (X!1 = cell53)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9692,plain,
% 2.39/2.45 ((~(X!1 = cell53)) | (~(Y!0 = cell52))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9691, 9690])).
% 2.39/2.45 tff(9693,plain,
% 2.39/2.45 ((cell54 = cell11) <=> (cell54 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9694,plain,
% 2.39/2.45 ((cell54 = cell11) <=> (X!1 = cell54)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9693, 6504])).
% 2.39/2.45 tff(9695,plain,
% 2.39/2.45 ((~(cell54 = cell11)) <=> (~(X!1 = cell54))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9694])).
% 2.39/2.45 tff(9696,plain,
% 2.39/2.45 ((~(cell54 = cell11)) <=> (~(cell54 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9697,axiom,(~(cell54 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48274')).
% 2.39/2.45 tff(9698,plain,
% 2.39/2.45 (~(cell54 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9697, 9696])).
% 2.39/2.45 tff(9699,plain,
% 2.39/2.45 (~(X!1 = cell54)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9698, 9695])).
% 2.39/2.45 tff(9700,plain,
% 2.39/2.45 (((~(X!1 = cell54)) | (~(Y!0 = cell53))) | (X!1 = cell54)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9701,plain,
% 2.39/2.45 ((~(X!1 = cell54)) | (~(Y!0 = cell53))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9700, 9699])).
% 2.39/2.45 tff(9702,plain,
% 2.39/2.45 ((cell55 = cell11) <=> (cell55 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9703,plain,
% 2.39/2.45 ((cell55 = cell11) <=> (X!1 = cell55)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9702, 6496])).
% 2.39/2.45 tff(9704,plain,
% 2.39/2.45 ((~(cell55 = cell11)) <=> (~(X!1 = cell55))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9703])).
% 2.39/2.45 tff(9705,plain,
% 2.39/2.45 ((~(cell55 = cell11)) <=> (~(cell55 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9706,axiom,(~(cell55 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48216')).
% 2.39/2.45 tff(9707,plain,
% 2.39/2.45 (~(cell55 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9706, 9705])).
% 2.39/2.45 tff(9708,plain,
% 2.39/2.45 (~(X!1 = cell55)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9707, 9704])).
% 2.39/2.45 tff(9709,plain,
% 2.39/2.45 (((~(X!1 = cell55)) | (~(Y!0 = cell54))) | (X!1 = cell55)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9710,plain,
% 2.39/2.45 ((~(X!1 = cell55)) | (~(Y!0 = cell54))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9709, 9708])).
% 2.39/2.45 tff(9711,plain,
% 2.39/2.45 ((cell56 = cell11) <=> (cell56 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9712,plain,
% 2.39/2.45 ((cell56 = cell11) <=> (X!1 = cell56)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9711, 6488])).
% 2.39/2.45 tff(9713,plain,
% 2.39/2.45 ((~(cell56 = cell11)) <=> (~(X!1 = cell56))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9712])).
% 2.39/2.45 tff(9714,plain,
% 2.39/2.45 ((~(cell56 = cell11)) <=> (~(cell56 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9715,axiom,(~(cell56 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48157')).
% 2.39/2.45 tff(9716,plain,
% 2.39/2.45 (~(cell56 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9715, 9714])).
% 2.39/2.45 tff(9717,plain,
% 2.39/2.45 (~(X!1 = cell56)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9716, 9713])).
% 2.39/2.45 tff(9718,plain,
% 2.39/2.45 (((~(X!1 = cell56)) | (~(Y!0 = cell55))) | (X!1 = cell56)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9719,plain,
% 2.39/2.45 ((~(X!1 = cell56)) | (~(Y!0 = cell55))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9718, 9717])).
% 2.39/2.45 tff(9720,plain,
% 2.39/2.45 ((cell57 = cell11) <=> (cell57 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9721,plain,
% 2.39/2.45 ((cell57 = cell11) <=> (X!1 = cell57)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9720, 6480])).
% 2.39/2.45 tff(9722,plain,
% 2.39/2.45 ((~(cell57 = cell11)) <=> (~(X!1 = cell57))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9721])).
% 2.39/2.45 tff(9723,plain,
% 2.39/2.45 ((~(cell57 = cell11)) <=> (~(cell57 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9724,axiom,(~(cell57 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48097')).
% 2.39/2.45 tff(9725,plain,
% 2.39/2.45 (~(cell57 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 2.39/2.45 tff(9726,plain,
% 2.39/2.45 (~(X!1 = cell57)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9725, 9722])).
% 2.39/2.45 tff(9727,plain,
% 2.39/2.45 (((~(X!1 = cell57)) | (~(Y!0 = cell56))) | (X!1 = cell57)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9728,plain,
% 2.39/2.45 ((~(X!1 = cell57)) | (~(Y!0 = cell56))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9727, 9726])).
% 2.39/2.45 tff(9729,plain,
% 2.39/2.45 ((cell58 = cell11) <=> (cell58 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9730,plain,
% 2.39/2.45 ((cell58 = cell11) <=> (X!1 = cell58)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9729, 6472])).
% 2.39/2.45 tff(9731,plain,
% 2.39/2.45 ((~(cell58 = cell11)) <=> (~(X!1 = cell58))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9730])).
% 2.39/2.45 tff(9732,plain,
% 2.39/2.45 ((~(cell58 = cell11)) <=> (~(cell58 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9733,axiom,(~(cell58 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48036')).
% 2.39/2.45 tff(9734,plain,
% 2.39/2.45 (~(cell58 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9733, 9732])).
% 2.39/2.45 tff(9735,plain,
% 2.39/2.45 (~(X!1 = cell58)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9734, 9731])).
% 2.39/2.45 tff(9736,plain,
% 2.39/2.45 (((~(X!1 = cell58)) | (~(Y!0 = cell57))) | (X!1 = cell58)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9737,plain,
% 2.39/2.45 ((~(X!1 = cell58)) | (~(Y!0 = cell57))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9736, 9735])).
% 2.39/2.45 tff(9738,plain,
% 2.39/2.45 ((cell59 = cell11) <=> (cell59 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9739,plain,
% 2.39/2.45 ((cell59 = cell11) <=> (X!1 = cell59)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9738, 6464])).
% 2.39/2.45 tff(9740,plain,
% 2.39/2.45 ((~(cell59 = cell11)) <=> (~(X!1 = cell59))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9739])).
% 2.39/2.45 tff(9741,plain,
% 2.39/2.45 ((~(cell59 = cell11)) <=> (~(cell59 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9742,axiom,(~(cell59 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47974')).
% 2.39/2.45 tff(9743,plain,
% 2.39/2.45 (~(cell59 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9742, 9741])).
% 2.39/2.45 tff(9744,plain,
% 2.39/2.45 (~(X!1 = cell59)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9743, 9740])).
% 2.39/2.45 tff(9745,plain,
% 2.39/2.45 (((~(X!1 = cell59)) | (~(Y!0 = cell58))) | (X!1 = cell59)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9746,plain,
% 2.39/2.45 ((~(X!1 = cell59)) | (~(Y!0 = cell58))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9745, 9744])).
% 2.39/2.45 tff(9747,plain,
% 2.39/2.45 ((cell60 = cell11) <=> (cell60 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9748,plain,
% 2.39/2.45 ((cell60 = cell11) <=> (X!1 = cell60)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9747, 6456])).
% 2.39/2.45 tff(9749,plain,
% 2.39/2.45 ((~(cell60 = cell11)) <=> (~(X!1 = cell60))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9748])).
% 2.39/2.45 tff(9750,plain,
% 2.39/2.45 ((~(cell60 = cell11)) <=> (~(cell60 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9751,axiom,(~(cell60 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47911')).
% 2.39/2.45 tff(9752,plain,
% 2.39/2.45 (~(cell60 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 2.39/2.45 tff(9753,plain,
% 2.39/2.45 (~(X!1 = cell60)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9752, 9749])).
% 2.39/2.45 tff(9754,plain,
% 2.39/2.45 (((~(X!1 = cell60)) | (~(Y!0 = cell59))) | (X!1 = cell60)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9755,plain,
% 2.39/2.45 ((~(X!1 = cell60)) | (~(Y!0 = cell59))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9754, 9753])).
% 2.39/2.45 tff(9756,plain,
% 2.39/2.45 ((cell62 = cell11) <=> (cell62 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9757,plain,
% 2.39/2.45 ((cell62 = cell11) <=> (X!1 = cell62)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9756, 6448])).
% 2.39/2.45 tff(9758,plain,
% 2.39/2.45 ((~(cell62 = cell11)) <=> (~(X!1 = cell62))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9757])).
% 2.39/2.45 tff(9759,plain,
% 2.39/2.45 ((~(cell62 = cell11)) <=> (~(cell62 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9760,axiom,(~(cell62 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47847')).
% 2.39/2.45 tff(9761,plain,
% 2.39/2.45 (~(cell62 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9760, 9759])).
% 2.39/2.45 tff(9762,plain,
% 2.39/2.45 (~(X!1 = cell62)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9761, 9758])).
% 2.39/2.45 tff(9763,plain,
% 2.39/2.45 (((~(X!1 = cell62)) | (~(Y!0 = cell61))) | (X!1 = cell62)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9764,plain,
% 2.39/2.45 ((~(X!1 = cell62)) | (~(Y!0 = cell61))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9763, 9762])).
% 2.39/2.45 tff(9765,plain,
% 2.39/2.45 ((cell63 = cell11) <=> (cell63 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9766,plain,
% 2.39/2.45 ((cell63 = cell11) <=> (X!1 = cell63)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9765, 6440])).
% 2.39/2.45 tff(9767,plain,
% 2.39/2.45 ((~(cell63 = cell11)) <=> (~(X!1 = cell63))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9766])).
% 2.39/2.45 tff(9768,plain,
% 2.39/2.45 ((~(cell63 = cell11)) <=> (~(cell63 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9769,axiom,(~(cell63 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47716')).
% 2.39/2.45 tff(9770,plain,
% 2.39/2.45 (~(cell63 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9769, 9768])).
% 2.39/2.45 tff(9771,plain,
% 2.39/2.45 (~(X!1 = cell63)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9770, 9767])).
% 2.39/2.45 tff(9772,plain,
% 2.39/2.45 (((~(X!1 = cell63)) | (~(Y!0 = cell62))) | (X!1 = cell63)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9773,plain,
% 2.39/2.45 ((~(X!1 = cell63)) | (~(Y!0 = cell62))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9772, 9771])).
% 2.39/2.45 tff(9774,plain,
% 2.39/2.45 ((cell64 = cell11) <=> (cell64 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9775,plain,
% 2.39/2.45 ((cell64 = cell11) <=> (X!1 = cell64)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9774, 6432])).
% 2.39/2.45 tff(9776,plain,
% 2.39/2.45 ((~(cell64 = cell11)) <=> (~(X!1 = cell64))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9775])).
% 2.39/2.45 tff(9777,plain,
% 2.39/2.45 ((~(cell64 = cell11)) <=> (~(cell64 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9778,axiom,(~(cell64 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47649')).
% 2.39/2.45 tff(9779,plain,
% 2.39/2.45 (~(cell64 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 2.39/2.45 tff(9780,plain,
% 2.39/2.45 (~(X!1 = cell64)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9779, 9776])).
% 2.39/2.45 tff(9781,plain,
% 2.39/2.45 (((~(X!1 = cell64)) | (~(Y!0 = cell63))) | (X!1 = cell64)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9782,plain,
% 2.39/2.45 ((~(X!1 = cell64)) | (~(Y!0 = cell63))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9781, 9780])).
% 2.39/2.45 tff(9783,plain,
% 2.39/2.45 ((cell65 = cell11) <=> (cell65 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9784,plain,
% 2.39/2.45 ((cell65 = cell11) <=> (X!1 = cell65)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9783, 6424])).
% 2.39/2.45 tff(9785,plain,
% 2.39/2.45 ((~(cell65 = cell11)) <=> (~(X!1 = cell65))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9784])).
% 2.39/2.45 tff(9786,plain,
% 2.39/2.45 ((~(cell65 = cell11)) <=> (~(cell65 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9787,axiom,(~(cell65 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47581')).
% 2.39/2.45 tff(9788,plain,
% 2.39/2.45 (~(cell65 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 2.39/2.45 tff(9789,plain,
% 2.39/2.45 (~(X!1 = cell65)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9788, 9785])).
% 2.39/2.45 tff(9790,plain,
% 2.39/2.45 (((~(X!1 = cell65)) | (~(Y!0 = cell64))) | (X!1 = cell65)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9791,plain,
% 2.39/2.45 ((~(X!1 = cell65)) | (~(Y!0 = cell64))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9790, 9789])).
% 2.39/2.45 tff(9792,plain,
% 2.39/2.45 ((cell66 = cell11) <=> (cell66 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9793,plain,
% 2.39/2.45 ((cell66 = cell11) <=> (X!1 = cell66)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9792, 6416])).
% 2.39/2.45 tff(9794,plain,
% 2.39/2.45 ((~(cell66 = cell11)) <=> (~(X!1 = cell66))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9793])).
% 2.39/2.45 tff(9795,plain,
% 2.39/2.45 ((~(cell66 = cell11)) <=> (~(cell66 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9796,axiom,(~(cell66 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47512')).
% 2.39/2.45 tff(9797,plain,
% 2.39/2.45 (~(cell66 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9796, 9795])).
% 2.39/2.45 tff(9798,plain,
% 2.39/2.45 (~(X!1 = cell66)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9797, 9794])).
% 2.39/2.45 tff(9799,plain,
% 2.39/2.45 (((~(X!1 = cell66)) | (~(Y!0 = cell65))) | (X!1 = cell66)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9800,plain,
% 2.39/2.45 ((~(X!1 = cell66)) | (~(Y!0 = cell65))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9799, 9798])).
% 2.39/2.45 tff(9801,plain,
% 2.39/2.45 ((cell67 = cell11) <=> (cell67 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9802,plain,
% 2.39/2.45 ((cell67 = cell11) <=> (X!1 = cell67)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9801, 6408])).
% 2.39/2.45 tff(9803,plain,
% 2.39/2.45 ((~(cell67 = cell11)) <=> (~(X!1 = cell67))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9802])).
% 2.39/2.45 tff(9804,plain,
% 2.39/2.45 ((~(cell67 = cell11)) <=> (~(cell67 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9805,axiom,(~(cell67 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47442')).
% 2.39/2.45 tff(9806,plain,
% 2.39/2.45 (~(cell67 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9805, 9804])).
% 2.39/2.45 tff(9807,plain,
% 2.39/2.45 (~(X!1 = cell67)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9806, 9803])).
% 2.39/2.45 tff(9808,plain,
% 2.39/2.45 (((~(X!1 = cell67)) | (~(Y!0 = cell66))) | (X!1 = cell67)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9809,plain,
% 2.39/2.45 ((~(X!1 = cell67)) | (~(Y!0 = cell66))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9808, 9807])).
% 2.39/2.45 tff(9810,plain,
% 2.39/2.45 ((cell68 = cell11) <=> (cell68 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9811,plain,
% 2.39/2.45 ((cell68 = cell11) <=> (X!1 = cell68)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9810, 6400])).
% 2.39/2.45 tff(9812,plain,
% 2.39/2.45 ((~(cell68 = cell11)) <=> (~(X!1 = cell68))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9811])).
% 2.39/2.45 tff(9813,plain,
% 2.39/2.45 ((~(cell68 = cell11)) <=> (~(cell68 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9814,axiom,(~(cell68 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47371')).
% 2.39/2.45 tff(9815,plain,
% 2.39/2.45 (~(cell68 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 2.39/2.45 tff(9816,plain,
% 2.39/2.45 (~(X!1 = cell68)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9815, 9812])).
% 2.39/2.45 tff(9817,plain,
% 2.39/2.45 (((~(X!1 = cell68)) | (~(Y!0 = cell67))) | (X!1 = cell68)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9818,plain,
% 2.39/2.45 ((~(X!1 = cell68)) | (~(Y!0 = cell67))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9817, 9816])).
% 2.39/2.45 tff(9819,plain,
% 2.39/2.45 ((cell70 = cell11) <=> (cell70 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9820,plain,
% 2.39/2.45 ((cell70 = cell11) <=> (X!1 = cell70)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9819, 6388])).
% 2.39/2.45 tff(9821,plain,
% 2.39/2.45 ((~(cell70 = cell11)) <=> (~(X!1 = cell70))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9820])).
% 2.39/2.45 tff(9822,plain,
% 2.39/2.45 ((~(cell70 = cell11)) <=> (~(cell70 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9823,axiom,(~(cell70 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47226')).
% 2.39/2.45 tff(9824,plain,
% 2.39/2.45 (~(cell70 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9823, 9822])).
% 2.39/2.45 tff(9825,plain,
% 2.39/2.45 (~(X!1 = cell70)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9824, 9821])).
% 2.39/2.45 tff(9826,plain,
% 2.39/2.45 (((~(X!1 = cell70)) | (~(Y!0 = cell69))) | (X!1 = cell70)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9827,plain,
% 2.39/2.45 ((~(X!1 = cell70)) | (~(Y!0 = cell69))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9826, 9825])).
% 2.39/2.45 tff(9828,plain,
% 2.39/2.45 ((cell72 = cell11) <=> (cell72 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9829,plain,
% 2.39/2.45 ((cell72 = cell11) <=> (X!1 = cell72)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9828, 6380])).
% 2.39/2.45 tff(9830,plain,
% 2.39/2.45 ((~(cell72 = cell11)) <=> (~(X!1 = cell72))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9829])).
% 2.39/2.45 tff(9831,plain,
% 2.39/2.45 ((~(cell72 = cell11)) <=> (~(cell72 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9832,axiom,(~(cell72 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47152')).
% 2.39/2.45 tff(9833,plain,
% 2.39/2.45 (~(cell72 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9832, 9831])).
% 2.39/2.45 tff(9834,plain,
% 2.39/2.45 (~(X!1 = cell72)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9833, 9830])).
% 2.39/2.45 tff(9835,plain,
% 2.39/2.45 (((~(X!1 = cell72)) | (~(Y!0 = cell71))) | (X!1 = cell72)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9836,plain,
% 2.39/2.45 ((~(X!1 = cell72)) | (~(Y!0 = cell71))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9835, 9834])).
% 2.39/2.45 tff(9837,plain,
% 2.39/2.45 ((cell73 = cell11) <=> (cell73 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9838,plain,
% 2.39/2.45 ((cell73 = cell11) <=> (X!1 = cell73)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9837, 6372])).
% 2.39/2.45 tff(9839,plain,
% 2.39/2.45 ((~(cell73 = cell11)) <=> (~(X!1 = cell73))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9838])).
% 2.39/2.45 tff(9840,plain,
% 2.39/2.45 ((~(cell73 = cell11)) <=> (~(cell73 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9841,axiom,(~(cell73 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47001')).
% 2.39/2.45 tff(9842,plain,
% 2.39/2.45 (~(cell73 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9841, 9840])).
% 2.39/2.45 tff(9843,plain,
% 2.39/2.45 (~(X!1 = cell73)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9842, 9839])).
% 2.39/2.45 tff(9844,plain,
% 2.39/2.45 (((~(X!1 = cell73)) | (~(Y!0 = cell72))) | (X!1 = cell73)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9845,plain,
% 2.39/2.45 ((~(X!1 = cell73)) | (~(Y!0 = cell72))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9844, 9843])).
% 2.39/2.45 tff(9846,plain,
% 2.39/2.45 ((cell74 = cell11) <=> (cell74 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9847,plain,
% 2.39/2.45 ((cell74 = cell11) <=> (X!1 = cell74)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9846, 6364])).
% 2.39/2.45 tff(9848,plain,
% 2.39/2.45 ((~(cell74 = cell11)) <=> (~(X!1 = cell74))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9847])).
% 2.39/2.45 tff(9849,plain,
% 2.39/2.45 ((~(cell74 = cell11)) <=> (~(cell74 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9850,axiom,(~(cell74 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46924')).
% 2.39/2.45 tff(9851,plain,
% 2.39/2.45 (~(cell74 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 2.39/2.45 tff(9852,plain,
% 2.39/2.45 (~(X!1 = cell74)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9851, 9848])).
% 2.39/2.45 tff(9853,plain,
% 2.39/2.45 (((~(X!1 = cell74)) | (~(Y!0 = cell73))) | (X!1 = cell74)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9854,plain,
% 2.39/2.45 ((~(X!1 = cell74)) | (~(Y!0 = cell73))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9853, 9852])).
% 2.39/2.45 tff(9855,plain,
% 2.39/2.45 ((cell75 = cell11) <=> (cell75 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9856,plain,
% 2.39/2.45 ((cell75 = cell11) <=> (X!1 = cell75)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9855, 6356])).
% 2.39/2.45 tff(9857,plain,
% 2.39/2.45 ((~(cell75 = cell11)) <=> (~(X!1 = cell75))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9856])).
% 2.39/2.45 tff(9858,plain,
% 2.39/2.45 ((~(cell75 = cell11)) <=> (~(cell75 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9859,axiom,(~(cell75 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46846')).
% 2.39/2.45 tff(9860,plain,
% 2.39/2.45 (~(cell75 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9859, 9858])).
% 2.39/2.45 tff(9861,plain,
% 2.39/2.45 (~(X!1 = cell75)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9860, 9857])).
% 2.39/2.45 tff(9862,plain,
% 2.39/2.45 (((~(X!1 = cell75)) | (~(Y!0 = cell74))) | (X!1 = cell75)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9863,plain,
% 2.39/2.45 ((~(X!1 = cell75)) | (~(Y!0 = cell74))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9862, 9861])).
% 2.39/2.45 tff(9864,plain,
% 2.39/2.45 ((cell76 = cell11) <=> (cell76 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9865,plain,
% 2.39/2.45 ((cell76 = cell11) <=> (X!1 = cell76)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9864, 6348])).
% 2.39/2.45 tff(9866,plain,
% 2.39/2.45 ((~(cell76 = cell11)) <=> (~(X!1 = cell76))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9865])).
% 2.39/2.45 tff(9867,plain,
% 2.39/2.45 ((~(cell76 = cell11)) <=> (~(cell76 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9868,axiom,(~(cell76 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46767')).
% 2.39/2.45 tff(9869,plain,
% 2.39/2.45 (~(cell76 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9868, 9867])).
% 2.39/2.45 tff(9870,plain,
% 2.39/2.45 (~(X!1 = cell76)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9869, 9866])).
% 2.39/2.45 tff(9871,plain,
% 2.39/2.45 (((~(X!1 = cell76)) | (~(Y!0 = cell75))) | (X!1 = cell76)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9872,plain,
% 2.39/2.45 ((~(X!1 = cell76)) | (~(Y!0 = cell75))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9871, 9870])).
% 2.39/2.45 tff(9873,plain,
% 2.39/2.45 ((cell77 = cell11) <=> (cell77 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9874,plain,
% 2.39/2.45 ((cell77 = cell11) <=> (X!1 = cell77)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9873, 6340])).
% 2.39/2.45 tff(9875,plain,
% 2.39/2.45 ((~(cell77 = cell11)) <=> (~(X!1 = cell77))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9874])).
% 2.39/2.45 tff(9876,plain,
% 2.39/2.45 ((~(cell77 = cell11)) <=> (~(cell77 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9877,axiom,(~(cell77 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46687')).
% 2.39/2.45 tff(9878,plain,
% 2.39/2.45 (~(cell77 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9877, 9876])).
% 2.39/2.45 tff(9879,plain,
% 2.39/2.45 (~(X!1 = cell77)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9878, 9875])).
% 2.39/2.45 tff(9880,plain,
% 2.39/2.45 (((~(X!1 = cell77)) | (~(Y!0 = cell76))) | (X!1 = cell77)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9881,plain,
% 2.39/2.45 ((~(X!1 = cell77)) | (~(Y!0 = cell76))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9880, 9879])).
% 2.39/2.45 tff(9882,plain,
% 2.39/2.45 (((~(X!1 = cell79)) | (~(Y!0 = cell78))) | (X!1 = cell79)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9883,plain,
% 2.39/2.45 ((~(X!1 = cell79)) | (~(Y!0 = cell78))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9882, 3853])).
% 2.39/2.45 tff(9884,plain,
% 2.39/2.45 ((cell100 = cell11) <=> (cell100 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9885,plain,
% 2.39/2.45 ((cell100 = cell11) <=> (X!1 = cell100)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9884, 6840])).
% 2.39/2.45 tff(9886,plain,
% 2.39/2.45 ((~(cell100 = cell11)) <=> (~(X!1 = cell100))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9885])).
% 2.39/2.45 tff(9887,plain,
% 2.39/2.45 (~(X!1 = cell100)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[6117, 9886])).
% 2.39/2.45 tff(9888,plain,
% 2.39/2.45 (((~(X!1 = cell100)) | (~(Y!0 = cell90))) | (X!1 = cell100)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9889,plain,
% 2.39/2.45 ((~(X!1 = cell100)) | (~(Y!0 = cell90))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9888, 9887])).
% 2.39/2.45 tff(9890,plain,
% 2.39/2.45 ((cell82 = cell11) <=> (cell82 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9891,plain,
% 2.39/2.45 ((cell82 = cell11) <=> (X!1 = cell82)),
% 2.39/2.45 inference(transitivity,[status(thm)],[9890, 6306])).
% 2.39/2.45 tff(9892,plain,
% 2.39/2.45 ((~(cell82 = cell11)) <=> (~(X!1 = cell82))),
% 2.39/2.45 inference(monotonicity,[status(thm)],[9891])).
% 2.39/2.45 tff(9893,plain,
% 2.39/2.45 ((~(cell82 = cell11)) <=> (~(cell82 = cell11))),
% 2.39/2.45 inference(rewrite,[status(thm)],[])).
% 2.39/2.45 tff(9894,axiom,(~(cell82 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46441')).
% 2.39/2.45 tff(9895,plain,
% 2.39/2.45 (~(cell82 = cell11)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9894, 9893])).
% 2.39/2.45 tff(9896,plain,
% 2.39/2.45 (~(X!1 = cell82)),
% 2.39/2.45 inference(modus_ponens,[status(thm)],[9895, 9892])).
% 2.39/2.45 tff(9897,plain,
% 2.39/2.45 (((~(X!1 = cell82)) | (~(Y!0 = cell81))) | (X!1 = cell82)),
% 2.39/2.45 inference(tautology,[status(thm)],[])).
% 2.39/2.45 tff(9898,plain,
% 2.39/2.45 ((~(X!1 = cell82)) | (~(Y!0 = cell81))),
% 2.39/2.45 inference(unit_resolution,[status(thm)],[9897, 9896])).
% 2.39/2.45 tff(9899,plain,
% 2.39/2.45 ((cell83 = cell11) <=> (cell83 = X!1)),
% 2.39/2.45 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.45 tff(9900,plain,
% 2.39/2.45 ((cell83 = cell11) <=> (X!1 = cell83)),
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% 2.39/2.47 tff(10018,plain,
% 2.39/2.47 ((~(cell31 = cell11)) <=> (~(cell31 = cell11))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10019,axiom,(~(cell31 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49297')).
% 2.39/2.47 tff(10020,plain,
% 2.39/2.47 (~(cell31 = cell11)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 2.39/2.47 tff(10021,plain,
% 2.39/2.47 (~(X!1 = cell31)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10020, 10017])).
% 2.39/2.47 tff(10022,plain,
% 2.39/2.47 (((~(X!1 = cell31)) | (~(Y!0 = cell21))) | (X!1 = cell31)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10023,plain,
% 2.39/2.47 ((~(X!1 = cell31)) | (~(Y!0 = cell21))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10022, 10021])).
% 2.39/2.47 tff(10024,plain,
% 2.39/2.47 (((~(X!1 = cell33)) | (~(Y!0 = cell23))) | (X!1 = cell33)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10025,plain,
% 2.39/2.47 ((~(X!1 = cell33)) | (~(Y!0 = cell23))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10024, 9528])).
% 2.39/2.47 tff(10026,plain,
% 2.39/2.47 (((~(X!1 = cell34)) | (~(Y!0 = cell24))) | (X!1 = cell34)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10027,plain,
% 2.39/2.47 ((~(X!1 = cell34)) | (~(Y!0 = cell24))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10026, 9537])).
% 2.39/2.47 tff(10028,plain,
% 2.39/2.47 (((~(X!1 = cell35)) | (~(Y!0 = cell25))) | (X!1 = cell35)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10029,plain,
% 2.39/2.47 ((~(X!1 = cell35)) | (~(Y!0 = cell25))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10028, 9546])).
% 2.39/2.47 tff(10030,plain,
% 2.39/2.47 (((~(X!1 = cell36)) | (~(Y!0 = cell26))) | (X!1 = cell36)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10031,plain,
% 2.39/2.47 ((~(X!1 = cell36)) | (~(Y!0 = cell26))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10030, 9555])).
% 2.39/2.47 tff(10032,plain,
% 2.39/2.47 (((~(X!1 = cell37)) | (~(Y!0 = cell27))) | (X!1 = cell37)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10033,plain,
% 2.39/2.47 ((~(X!1 = cell37)) | (~(Y!0 = cell27))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10032, 9564])).
% 2.39/2.47 tff(10034,plain,
% 2.39/2.47 (((~(X!1 = cell38)) | (~(Y!0 = cell28))) | (X!1 = cell38)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10035,plain,
% 2.39/2.47 ((~(X!1 = cell38)) | (~(Y!0 = cell28))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10034, 9573])).
% 2.39/2.47 tff(10036,plain,
% 2.39/2.47 (((~(X!1 = cell39)) | (~(Y!0 = cell29))) | (X!1 = cell39)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10037,plain,
% 2.39/2.47 ((~(X!1 = cell39)) | (~(Y!0 = cell29))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10036, 9582])).
% 2.39/2.47 tff(10038,plain,
% 2.39/2.47 (((~(X!1 = cell40)) | (~(Y!0 = cell30))) | (X!1 = cell40)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10039,plain,
% 2.39/2.47 ((~(X!1 = cell40)) | (~(Y!0 = cell30))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10038, 9591])).
% 2.39/2.47 tff(10040,plain,
% 2.39/2.47 ((cell41 = cell11) <=> (cell41 = X!1)),
% 2.39/2.47 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.47 tff(10041,plain,
% 2.39/2.47 ((cell41 = cell11) <=> (X!1 = cell41)),
% 2.39/2.47 inference(transitivity,[status(thm)],[10040, 6169])).
% 2.39/2.47 tff(10042,plain,
% 2.39/2.47 ((~(cell41 = cell11)) <=> (~(X!1 = cell41))),
% 2.39/2.47 inference(monotonicity,[status(thm)],[10041])).
% 2.39/2.47 tff(10043,plain,
% 2.39/2.47 ((~(cell41 = cell11)) <=> (~(cell41 = cell11))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10044,axiom,(~(cell41 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48892')).
% 2.39/2.47 tff(10045,plain,
% 2.39/2.47 (~(cell41 = cell11)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10044, 10043])).
% 2.39/2.47 tff(10046,plain,
% 2.39/2.47 (~(X!1 = cell41)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10045, 10042])).
% 2.39/2.47 tff(10047,plain,
% 2.39/2.47 (((~(X!1 = cell41)) | (~(Y!0 = cell31))) | (X!1 = cell41)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10048,plain,
% 2.39/2.47 ((~(X!1 = cell41)) | (~(Y!0 = cell31))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10047, 10046])).
% 2.39/2.47 tff(10049,plain,
% 2.39/2.47 (((~(X!1 = cell42)) | (~(Y!0 = cell32))) | (X!1 = cell42)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10050,plain,
% 2.39/2.47 ((~(X!1 = cell42)) | (~(Y!0 = cell32))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10049, 9600])).
% 2.39/2.47 tff(10051,plain,
% 2.39/2.47 (((~(X!1 = cell43)) | (~(Y!0 = cell33))) | (X!1 = cell43)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10052,plain,
% 2.39/2.47 ((~(X!1 = cell43)) | (~(Y!0 = cell33))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10051, 9609])).
% 2.39/2.47 tff(10053,plain,
% 2.39/2.47 (((~(X!1 = cell44)) | (~(Y!0 = cell34))) | (X!1 = cell44)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10054,plain,
% 2.39/2.47 ((~(X!1 = cell44)) | (~(Y!0 = cell34))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10053, 9618])).
% 2.39/2.47 tff(10055,plain,
% 2.39/2.47 (((~(X!1 = cell45)) | (~(Y!0 = cell35))) | (X!1 = cell45)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10056,plain,
% 2.39/2.47 ((~(X!1 = cell45)) | (~(Y!0 = cell35))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10055, 9627])).
% 2.39/2.47 tff(10057,plain,
% 2.39/2.47 (((~(X!1 = cell46)) | (~(Y!0 = cell36))) | (X!1 = cell46)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10058,plain,
% 2.39/2.47 ((~(X!1 = cell46)) | (~(Y!0 = cell36))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10057, 9636])).
% 2.39/2.47 tff(10059,plain,
% 2.39/2.47 (((~(X!1 = cell47)) | (~(Y!0 = cell37))) | (X!1 = cell47)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10060,plain,
% 2.39/2.47 ((~(X!1 = cell47)) | (~(Y!0 = cell37))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10059, 9645])).
% 2.39/2.47 tff(10061,plain,
% 2.39/2.47 (((~(X!1 = cell48)) | (~(Y!0 = cell38))) | (X!1 = cell48)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10062,plain,
% 2.39/2.47 ((~(X!1 = cell48)) | (~(Y!0 = cell38))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10061, 9654])).
% 2.39/2.47 tff(10063,plain,
% 2.39/2.47 (((~(X!1 = cell49)) | (~(Y!0 = cell39))) | (X!1 = cell49)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10064,plain,
% 2.39/2.47 ((~(X!1 = cell49)) | (~(Y!0 = cell39))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10063, 9663])).
% 2.39/2.47 tff(10065,plain,
% 2.39/2.47 (((~(X!1 = cell50)) | (~(Y!0 = cell40))) | (X!1 = cell50)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10066,plain,
% 2.39/2.47 ((~(X!1 = cell50)) | (~(Y!0 = cell40))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10065, 9672])).
% 2.39/2.47 tff(10067,plain,
% 2.39/2.47 ((cell51 = cell11) <=> (cell51 = X!1)),
% 2.39/2.47 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.47 tff(10068,plain,
% 2.39/2.47 ((cell51 = cell11) <=> (X!1 = cell51)),
% 2.39/2.47 inference(transitivity,[status(thm)],[10067, 6161])).
% 2.39/2.47 tff(10069,plain,
% 2.39/2.47 ((~(cell51 = cell11)) <=> (~(X!1 = cell51))),
% 2.39/2.47 inference(monotonicity,[status(thm)],[10068])).
% 2.39/2.47 tff(10070,plain,
% 2.39/2.47 ((~(cell51 = cell11)) <=> (~(cell51 = cell11))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10071,axiom,(~(cell51 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48387')).
% 2.39/2.47 tff(10072,plain,
% 2.39/2.47 (~(cell51 = cell11)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10071, 10070])).
% 2.39/2.47 tff(10073,plain,
% 2.39/2.47 (~(X!1 = cell51)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10072, 10069])).
% 2.39/2.47 tff(10074,plain,
% 2.39/2.47 (((~(X!1 = cell51)) | (~(Y!0 = cell41))) | (X!1 = cell51)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10075,plain,
% 2.39/2.47 ((~(X!1 = cell51)) | (~(Y!0 = cell41))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10074, 10073])).
% 2.39/2.47 tff(10076,plain,
% 2.39/2.47 (((~(X!1 = cell52)) | (~(Y!0 = cell42))) | (X!1 = cell52)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10077,plain,
% 2.39/2.47 ((~(X!1 = cell52)) | (~(Y!0 = cell42))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10076, 9681])).
% 2.39/2.47 tff(10078,plain,
% 2.39/2.47 (((~(X!1 = cell53)) | (~(Y!0 = cell43))) | (X!1 = cell53)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10079,plain,
% 2.39/2.47 ((~(X!1 = cell53)) | (~(Y!0 = cell43))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10078, 9690])).
% 2.39/2.47 tff(10080,plain,
% 2.39/2.47 (((~(X!1 = cell54)) | (~(Y!0 = cell44))) | (X!1 = cell54)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10081,plain,
% 2.39/2.47 ((~(X!1 = cell54)) | (~(Y!0 = cell44))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10080, 9699])).
% 2.39/2.47 tff(10082,plain,
% 2.39/2.47 (((~(X!1 = cell55)) | (~(Y!0 = cell45))) | (X!1 = cell55)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10083,plain,
% 2.39/2.47 ((~(X!1 = cell55)) | (~(Y!0 = cell45))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10082, 9708])).
% 2.39/2.47 tff(10084,plain,
% 2.39/2.47 (((~(X!1 = cell56)) | (~(Y!0 = cell46))) | (X!1 = cell56)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10085,plain,
% 2.39/2.47 ((~(X!1 = cell56)) | (~(Y!0 = cell46))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10084, 9717])).
% 2.39/2.47 tff(10086,plain,
% 2.39/2.47 (((~(X!1 = cell57)) | (~(Y!0 = cell47))) | (X!1 = cell57)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10087,plain,
% 2.39/2.47 ((~(X!1 = cell57)) | (~(Y!0 = cell47))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10086, 9726])).
% 2.39/2.47 tff(10088,plain,
% 2.39/2.47 (((~(X!1 = cell58)) | (~(Y!0 = cell48))) | (X!1 = cell58)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10089,plain,
% 2.39/2.47 ((~(X!1 = cell58)) | (~(Y!0 = cell48))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10088, 9735])).
% 2.39/2.47 tff(10090,plain,
% 2.39/2.47 (((~(X!1 = cell59)) | (~(Y!0 = cell49))) | (X!1 = cell59)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10091,plain,
% 2.39/2.47 ((~(X!1 = cell59)) | (~(Y!0 = cell49))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10090, 9744])).
% 2.39/2.47 tff(10092,plain,
% 2.39/2.47 (((~(X!1 = cell60)) | (~(Y!0 = cell50))) | (X!1 = cell60)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10093,plain,
% 2.39/2.47 ((~(X!1 = cell60)) | (~(Y!0 = cell50))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10092, 9753])).
% 2.39/2.47 tff(10094,plain,
% 2.39/2.47 ((cell61 = cell11) <=> (cell61 = X!1)),
% 2.39/2.47 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.47 tff(10095,plain,
% 2.39/2.47 ((cell61 = cell11) <=> (X!1 = cell61)),
% 2.39/2.47 inference(transitivity,[status(thm)],[10094, 6153])).
% 2.39/2.47 tff(10096,plain,
% 2.39/2.47 ((~(cell61 = cell11)) <=> (~(X!1 = cell61))),
% 2.39/2.47 inference(monotonicity,[status(thm)],[10095])).
% 2.39/2.47 tff(10097,plain,
% 2.39/2.47 ((~(cell61 = cell11)) <=> (~(cell61 = cell11))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10098,axiom,(~(cell61 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47782')).
% 2.39/2.47 tff(10099,plain,
% 2.39/2.47 (~(cell61 = cell11)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10098, 10097])).
% 2.39/2.47 tff(10100,plain,
% 2.39/2.47 (~(X!1 = cell61)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10099, 10096])).
% 2.39/2.47 tff(10101,plain,
% 2.39/2.47 (((~(X!1 = cell61)) | (~(Y!0 = cell51))) | (X!1 = cell61)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10102,plain,
% 2.39/2.47 ((~(X!1 = cell61)) | (~(Y!0 = cell51))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10101, 10100])).
% 2.39/2.47 tff(10103,plain,
% 2.39/2.47 (((~(X!1 = cell62)) | (~(Y!0 = cell52))) | (X!1 = cell62)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10104,plain,
% 2.39/2.47 ((~(X!1 = cell62)) | (~(Y!0 = cell52))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10103, 9762])).
% 2.39/2.47 tff(10105,plain,
% 2.39/2.47 (((~(X!1 = cell63)) | (~(Y!0 = cell53))) | (X!1 = cell63)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10106,plain,
% 2.39/2.47 ((~(X!1 = cell63)) | (~(Y!0 = cell53))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10105, 9771])).
% 2.39/2.47 tff(10107,plain,
% 2.39/2.47 (((~(X!1 = cell64)) | (~(Y!0 = cell54))) | (X!1 = cell64)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10108,plain,
% 2.39/2.47 ((~(X!1 = cell64)) | (~(Y!0 = cell54))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10107, 9780])).
% 2.39/2.47 tff(10109,plain,
% 2.39/2.47 (((~(X!1 = cell65)) | (~(Y!0 = cell55))) | (X!1 = cell65)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10110,plain,
% 2.39/2.47 ((~(X!1 = cell65)) | (~(Y!0 = cell55))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10109, 9789])).
% 2.39/2.47 tff(10111,plain,
% 2.39/2.47 (((~(X!1 = cell66)) | (~(Y!0 = cell56))) | (X!1 = cell66)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10112,plain,
% 2.39/2.47 ((~(X!1 = cell66)) | (~(Y!0 = cell56))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10111, 9798])).
% 2.39/2.47 tff(10113,plain,
% 2.39/2.47 (((~(X!1 = cell67)) | (~(Y!0 = cell57))) | (X!1 = cell67)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10114,plain,
% 2.39/2.47 ((~(X!1 = cell67)) | (~(Y!0 = cell57))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10113, 9807])).
% 2.39/2.47 tff(10115,plain,
% 2.39/2.47 (((~(X!1 = cell68)) | (~(Y!0 = cell58))) | (X!1 = cell68)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10116,plain,
% 2.39/2.47 ((~(X!1 = cell68)) | (~(Y!0 = cell58))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10115, 9816])).
% 2.39/2.47 tff(10117,plain,
% 2.39/2.47 (((~(X!1 = cell70)) | (~(Y!0 = cell60))) | (X!1 = cell70)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10118,plain,
% 2.39/2.47 ((~(X!1 = cell70)) | (~(Y!0 = cell60))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10117, 9825])).
% 2.39/2.47 tff(10119,plain,
% 2.39/2.47 ((cell71 = cell11) <=> (cell71 = X!1)),
% 2.39/2.47 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.47 tff(10120,plain,
% 2.39/2.47 ((cell71 = cell11) <=> (X!1 = cell71)),
% 2.39/2.47 inference(transitivity,[status(thm)],[10119, 6145])).
% 2.39/2.47 tff(10121,plain,
% 2.39/2.47 ((~(cell71 = cell11)) <=> (~(X!1 = cell71))),
% 2.39/2.47 inference(monotonicity,[status(thm)],[10120])).
% 2.39/2.47 tff(10122,plain,
% 2.39/2.47 ((~(cell71 = cell11)) <=> (~(cell71 = cell11))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10123,axiom,(~(cell71 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47077')).
% 2.39/2.47 tff(10124,plain,
% 2.39/2.47 (~(cell71 = cell11)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 2.39/2.47 tff(10125,plain,
% 2.39/2.47 (~(X!1 = cell71)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10124, 10121])).
% 2.39/2.47 tff(10126,plain,
% 2.39/2.47 (((~(X!1 = cell71)) | (~(Y!0 = cell61))) | (X!1 = cell71)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10127,plain,
% 2.39/2.47 ((~(X!1 = cell71)) | (~(Y!0 = cell61))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10126, 10125])).
% 2.39/2.47 tff(10128,plain,
% 2.39/2.47 (((~(X!1 = cell72)) | (~(Y!0 = cell62))) | (X!1 = cell72)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10129,plain,
% 2.39/2.47 ((~(X!1 = cell72)) | (~(Y!0 = cell62))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10128, 9834])).
% 2.39/2.47 tff(10130,plain,
% 2.39/2.47 (((~(X!1 = cell73)) | (~(Y!0 = cell63))) | (X!1 = cell73)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10131,plain,
% 2.39/2.47 ((~(X!1 = cell73)) | (~(Y!0 = cell63))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10130, 9843])).
% 2.39/2.47 tff(10132,plain,
% 2.39/2.47 (((~(X!1 = cell74)) | (~(Y!0 = cell64))) | (X!1 = cell74)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10133,plain,
% 2.39/2.47 ((~(X!1 = cell74)) | (~(Y!0 = cell64))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10132, 9852])).
% 2.39/2.47 tff(10134,plain,
% 2.39/2.47 (((~(X!1 = cell75)) | (~(Y!0 = cell65))) | (X!1 = cell75)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10135,plain,
% 2.39/2.47 ((~(X!1 = cell75)) | (~(Y!0 = cell65))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10134, 9861])).
% 2.39/2.47 tff(10136,plain,
% 2.39/2.47 (((~(X!1 = cell76)) | (~(Y!0 = cell66))) | (X!1 = cell76)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10137,plain,
% 2.39/2.47 ((~(X!1 = cell76)) | (~(Y!0 = cell66))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10136, 9870])).
% 2.39/2.47 tff(10138,plain,
% 2.39/2.47 (((~(X!1 = cell77)) | (~(Y!0 = cell67))) | (X!1 = cell77)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10139,plain,
% 2.39/2.47 ((~(X!1 = cell77)) | (~(Y!0 = cell67))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10138, 9879])).
% 2.39/2.47 tff(10140,plain,
% 2.39/2.47 (((~(X!1 = cell79)) | (~(Y!0 = cell69))) | (X!1 = cell79)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10141,plain,
% 2.39/2.47 ((~(X!1 = cell79)) | (~(Y!0 = cell69))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10140, 3853])).
% 2.39/2.47 tff(10142,assumption,((~(X!1 = cell80)) | (~(Y!0 = cell70))), introduced(assumption)).
% 2.39/2.47 tff(10143,plain,
% 2.39/2.47 ((cell81 = cell11) <=> (cell81 = X!1)),
% 2.39/2.47 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.47 tff(10144,plain,
% 2.39/2.47 ((cell81 = cell11) <=> (X!1 = cell81)),
% 2.39/2.47 inference(transitivity,[status(thm)],[10143, 6137])).
% 2.39/2.47 tff(10145,plain,
% 2.39/2.47 ((~(cell81 = cell11)) <=> (~(X!1 = cell81))),
% 2.39/2.47 inference(monotonicity,[status(thm)],[10144])).
% 2.39/2.47 tff(10146,plain,
% 2.39/2.47 ((~(cell81 = cell11)) <=> (~(cell81 = cell11))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10147,axiom,(~(cell81 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46357')).
% 2.39/2.47 tff(10148,plain,
% 2.39/2.47 (~(cell81 = cell11)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10147, 10146])).
% 2.39/2.47 tff(10149,plain,
% 2.39/2.47 (~(X!1 = cell81)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10148, 10145])).
% 2.39/2.47 tff(10150,plain,
% 2.39/2.47 (((~(X!1 = cell81)) | (~(Y!0 = cell71))) | (X!1 = cell81)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10151,plain,
% 2.39/2.47 ((~(X!1 = cell81)) | (~(Y!0 = cell71))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10150, 10149])).
% 2.39/2.47 tff(10152,plain,
% 2.39/2.47 (((~(X!1 = cell82)) | (~(Y!0 = cell72))) | (X!1 = cell82)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10153,plain,
% 2.39/2.47 ((~(X!1 = cell82)) | (~(Y!0 = cell72))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10152, 9896])).
% 2.39/2.47 tff(10154,plain,
% 2.39/2.47 (((~(X!1 = cell83)) | (~(Y!0 = cell73))) | (X!1 = cell83)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10155,plain,
% 2.39/2.47 ((~(X!1 = cell83)) | (~(Y!0 = cell73))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10154, 9905])).
% 2.39/2.47 tff(10156,plain,
% 2.39/2.47 (((~(X!1 = cell84)) | (~(Y!0 = cell74))) | (X!1 = cell84)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10157,plain,
% 2.39/2.47 ((~(X!1 = cell84)) | (~(Y!0 = cell74))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10156, 9914])).
% 2.39/2.47 tff(10158,plain,
% 2.39/2.47 (((~(X!1 = cell85)) | (~(Y!0 = cell75))) | (X!1 = cell85)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10159,plain,
% 2.39/2.47 ((~(X!1 = cell85)) | (~(Y!0 = cell75))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10158, 9923])).
% 2.39/2.47 tff(10160,plain,
% 2.39/2.47 (((~(X!1 = cell86)) | (~(Y!0 = cell76))) | (X!1 = cell86)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10161,plain,
% 2.39/2.47 ((~(X!1 = cell86)) | (~(Y!0 = cell76))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10160, 9932])).
% 2.39/2.47 tff(10162,plain,
% 2.39/2.47 (((~(X!1 = cell87)) | (~(Y!0 = cell77))) | (X!1 = cell87)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10163,plain,
% 2.39/2.47 ((~(X!1 = cell87)) | (~(Y!0 = cell77))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10162, 9941])).
% 2.39/2.47 tff(10164,assumption,((~(X!1 = cell88)) | (~(Y!0 = cell78))), introduced(assumption)).
% 2.39/2.47 tff(10165,plain,
% 2.39/2.47 (((~(X!1 = cell98)) | (~(Y!0 = cell88))) | (X!1 = cell98)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10166,plain,
% 2.39/2.47 ((~(X!1 = cell98)) | (~(Y!0 = cell88))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10165, 9960])).
% 2.39/2.47 tff(10167,plain,
% 2.39/2.47 (((~(X!1 = cell90)) | (~(Y!0 = cell80))) | (X!1 = cell90)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10168,plain,
% 2.39/2.47 ((~(X!1 = cell90)) | (~(Y!0 = cell80))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10167, 3954])).
% 2.39/2.47 tff(10169,plain,
% 2.39/2.47 ((cell91 = cell11) <=> (cell91 = X!1)),
% 2.39/2.47 inference(monotonicity,[status(thm)],[44])).
% 2.39/2.47 tff(10170,plain,
% 2.39/2.47 ((cell91 = cell11) <=> (X!1 = cell91)),
% 2.39/2.47 inference(transitivity,[status(thm)],[10169, 5699])).
% 2.39/2.47 tff(10171,plain,
% 2.39/2.47 ((~(cell91 = cell11)) <=> (~(X!1 = cell91))),
% 2.39/2.47 inference(monotonicity,[status(thm)],[10170])).
% 2.39/2.47 tff(10172,plain,
% 2.39/2.47 ((~(cell91 = cell11)) <=> (~(cell91 = cell11))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10173,axiom,(~(cell91 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45741')).
% 2.39/2.47 tff(10174,plain,
% 2.39/2.47 (~(cell91 = cell11)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10173, 10172])).
% 2.39/2.47 tff(10175,plain,
% 2.39/2.47 (~(X!1 = cell91)),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10174, 10171])).
% 2.39/2.47 tff(10176,plain,
% 2.39/2.47 (((~(X!1 = cell91)) | (~(Y!0 = cell81))) | (X!1 = cell91)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10177,plain,
% 2.39/2.47 ((~(X!1 = cell91)) | (~(Y!0 = cell81))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10176, 10175])).
% 2.39/2.47 tff(10178,plain,
% 2.39/2.47 (((~(X!1 = cell92)) | (~(Y!0 = cell82))) | (X!1 = cell92)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10179,plain,
% 2.39/2.47 ((~(X!1 = cell92)) | (~(Y!0 = cell82))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10178, 3873])).
% 2.39/2.47 tff(10180,plain,
% 2.39/2.47 (((~(X!1 = cell94)) | (~(Y!0 = cell84))) | (X!1 = cell94)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10181,plain,
% 2.39/2.47 ((~(X!1 = cell94)) | (~(Y!0 = cell84))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10180, 3891])).
% 2.39/2.47 tff(10182,plain,
% 2.39/2.47 (((~(X!1 = cell93)) | (~(Y!0 = cell83))) | (X!1 = cell93)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10183,plain,
% 2.39/2.47 ((~(X!1 = cell93)) | (~(Y!0 = cell83))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10182, 3882])).
% 2.39/2.47 tff(10184,plain,
% 2.39/2.47 (((~(X!1 = cell80)) | (~(Y!0 = cell79))) | (Y!0 = cell79)),
% 2.39/2.47 inference(tautology,[status(thm)],[])).
% 2.39/2.47 tff(10185,plain,
% 2.39/2.47 ((~(X!1 = cell80)) | (~(Y!0 = cell79))),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10184, 5666])).
% 2.39/2.47 tff(10186,assumption,(oxygen(cell2)), introduced(assumption)).
% 2.39/2.47 tff(10187,plain,
% 2.39/2.47 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell2) | (~oxygen(cell88)) | (~oxygen(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell88 = cell2) | (~oxygen(cell88)) | (~oxygen(cell2)))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10188,plain,
% 2.39/2.47 (((cell88 = cell2) | (~oxygen(cell2)) | (~oxygen(cell88))) <=> ((cell88 = cell2) | (~oxygen(cell88)) | (~oxygen(cell2)))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10189,plain,
% 2.39/2.47 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell2) | (~oxygen(cell2)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell2) | (~oxygen(cell88)) | (~oxygen(cell2))))),
% 2.39/2.47 inference(monotonicity,[status(thm)],[10188])).
% 2.39/2.47 tff(10190,plain,
% 2.39/2.47 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell2) | (~oxygen(cell2)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell88 = cell2) | (~oxygen(cell88)) | (~oxygen(cell2)))),
% 2.39/2.47 inference(transitivity,[status(thm)],[10189, 10187])).
% 2.39/2.47 tff(10191,plain,
% 2.39/2.47 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell2) | (~oxygen(cell2)) | (~oxygen(cell88)))),
% 2.39/2.47 inference(quant_inst,[status(thm)],[])).
% 2.39/2.47 tff(10192,plain,
% 2.39/2.47 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell88 = cell2) | (~oxygen(cell88)) | (~oxygen(cell2))),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 2.39/2.47 tff(10193,plain,
% 2.39/2.47 ($false),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10192, 4130, 1246, 3804, 10186])).
% 2.39/2.47 tff(10194,plain,((~oxygen(cell88)) | (~oxygen(cell2))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.47 tff(10195,plain,
% 2.39/2.47 (~oxygen(cell88)),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10194, 10186])).
% 2.39/2.47 tff(10196,assumption,(~oxygen(cell79)), introduced(assumption)).
% 2.39/2.47 tff(10197,plain,
% 2.39/2.47 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2)))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10198,plain,
% 2.39/2.47 (((cell89 = cell2) | (~oxygen(cell2)) | (~oxygen(cell89))) <=> ((cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2)))),
% 2.39/2.47 inference(rewrite,[status(thm)],[])).
% 2.39/2.47 tff(10199,plain,
% 2.39/2.47 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell2) | (~oxygen(cell2)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2))))),
% 2.39/2.47 inference(monotonicity,[status(thm)],[10198])).
% 2.39/2.47 tff(10200,plain,
% 2.39/2.47 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell2) | (~oxygen(cell2)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2)))),
% 2.39/2.47 inference(transitivity,[status(thm)],[10199, 10197])).
% 2.39/2.47 tff(10201,plain,
% 2.39/2.47 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell2) | (~oxygen(cell2)) | (~oxygen(cell89)))),
% 2.39/2.47 inference(quant_inst,[status(thm)],[])).
% 2.39/2.47 tff(10202,plain,
% 2.39/2.47 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2))),
% 2.39/2.47 inference(modus_ponens,[status(thm)],[10201, 10200])).
% 2.39/2.47 tff(10203,plain,
% 2.39/2.47 ($false),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10202, 4123, 1246, 2632, 10186])).
% 2.39/2.47 tff(10204,plain,((~oxygen(cell89)) | (~oxygen(cell2))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.47 tff(10205,plain,
% 2.39/2.47 (~oxygen(cell89)),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[10204, 10186])).
% 2.39/2.47 tff(10206,plain,
% 2.39/2.47 (oxygen(cell90)),
% 2.39/2.47 inference(unit_resolution,[status(thm)],[8142, 10205, 8122, 10196, 10195])).
% 2.39/2.48 tff(10207,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell2) | (~oxygen(cell90)) | (~oxygen(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell90 = cell2) | (~oxygen(cell90)) | (~oxygen(cell2)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10208,plain,
% 2.39/2.48 (((cell90 = cell2) | (~oxygen(cell2)) | (~oxygen(cell90))) <=> ((cell90 = cell2) | (~oxygen(cell90)) | (~oxygen(cell2)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10209,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell2) | (~oxygen(cell2)) | (~oxygen(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell2) | (~oxygen(cell90)) | (~oxygen(cell2))))),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10208])).
% 2.39/2.48 tff(10210,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell2) | (~oxygen(cell2)) | (~oxygen(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell90 = cell2) | (~oxygen(cell90)) | (~oxygen(cell2)))),
% 2.39/2.48 inference(transitivity,[status(thm)],[10209, 10207])).
% 2.39/2.48 tff(10211,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell2) | (~oxygen(cell2)) | (~oxygen(cell90)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10212,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell90 = cell2) | (~oxygen(cell90)) | (~oxygen(cell2))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10211, 10210])).
% 2.39/2.48 tff(10213,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10212, 10206, 1246, 3978, 10186])).
% 2.39/2.48 tff(10214,plain,((~oxygen(cell2)) | oxygen(cell79)), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10215,plain,
% 2.39/2.48 (~oxygen(cell2)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10214, 5677])).
% 2.39/2.48 tff(10216,assumption,(Y!0 = cell2), introduced(assumption)).
% 2.39/2.48 tff(10217,plain,
% 2.39/2.48 (cell2 = Y!0),
% 2.39/2.48 inference(symmetry,[status(thm)],[10216])).
% 2.39/2.48 tff(10218,plain,
% 2.39/2.48 (oxygen(cell2) <=> oxygen(Y!0)),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10217])).
% 2.39/2.48 tff(10219,plain,
% 2.39/2.48 (oxygen(Y!0) <=> oxygen(cell2)),
% 2.39/2.48 inference(symmetry,[status(thm)],[10218])).
% 2.39/2.48 tff(10220,plain,
% 2.39/2.48 (oxygen(cell2)),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[1233, 10219])).
% 2.39/2.48 tff(10221,assumption,(~oxygen(cell2)), introduced(assumption)).
% 2.39/2.48 tff(10222,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10221, 10220])).
% 2.39/2.48 tff(10223,plain,(oxygen(cell2) | (~(Y!0 = cell2))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10224,plain,
% 2.39/2.48 (~(Y!0 = cell2)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10223, 10215])).
% 2.39/2.48 tff(10225,plain,
% 2.39/2.48 (((~(X!1 = cell12)) | (~(Y!0 = cell2))) | (Y!0 = cell2)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
% 2.39/2.48 tff(10226,plain,
% 2.39/2.48 ((~(X!1 = cell12)) | (~(Y!0 = cell2))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10225, 10224])).
% 2.39/2.48 tff(10227,assumption,(Y!0 = cell1), introduced(assumption)).
% 2.39/2.48 tff(10228,plain,
% 2.39/2.48 (cell1 = Y!0),
% 2.39/2.48 inference(symmetry,[status(thm)],[10227])).
% 2.39/2.48 tff(10229,plain,
% 2.39/2.48 (oxygen(cell1) <=> oxygen(Y!0)),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10228])).
% 2.39/2.48 tff(10230,plain,
% 2.39/2.48 (oxygen(Y!0) <=> oxygen(cell1)),
% 2.39/2.48 inference(symmetry,[status(thm)],[10229])).
% 2.39/2.48 tff(10231,plain,
% 2.39/2.48 (oxygen(cell1)),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[1233, 10230])).
% 2.39/2.48 tff(10232,assumption,(~oxygen(cell1)), introduced(assumption)).
% 2.39/2.48 tff(10233,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10232, 10231])).
% 2.39/2.48 tff(10234,plain,(oxygen(cell1) | (~(Y!0 = cell1))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10235,plain,
% 2.39/2.48 (oxygen(cell1)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10234, 10227])).
% 2.39/2.48 tff(10236,plain,
% 2.39/2.48 ((~(cell1 = cell88)) <=> (~(cell1 = cell88))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10237,axiom,(~(cell1 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49877')).
% 2.39/2.48 tff(10238,plain,
% 2.39/2.48 (~(cell1 = cell88)),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10237, 10236])).
% 2.39/2.48 tff(10239,assumption,(oxygen(cell1)), introduced(assumption)).
% 2.39/2.48 tff(10240,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell1 = cell89) | (~oxygen(cell89)) | (~oxygen(cell1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell1 = cell89) | (~oxygen(cell89)) | (~oxygen(cell1)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10241,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell1 = cell89) | (~oxygen(cell89)) | (~oxygen(cell1)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10242,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell1 = cell89) | (~oxygen(cell89)) | (~oxygen(cell1))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10241, 10240])).
% 2.39/2.48 tff(10243,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10242, 4123, 1246, 2311, 10239])).
% 2.39/2.48 tff(10244,plain,((~oxygen(cell89)) | (~oxygen(cell1))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10245,plain,
% 2.39/2.48 (~oxygen(cell89)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10244, 10235])).
% 2.39/2.48 tff(10246,plain,
% 2.39/2.48 ((Y!0 = cell79) <=> (cell1 = cell79)),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10227])).
% 2.39/2.48 tff(10247,plain,
% 2.39/2.48 ((cell1 = cell79) <=> (Y!0 = cell79)),
% 2.39/2.48 inference(symmetry,[status(thm)],[10246])).
% 2.39/2.48 tff(10248,plain,
% 2.39/2.48 ((~(cell1 = cell79)) <=> (~(Y!0 = cell79))),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10247])).
% 2.39/2.48 tff(10249,plain,
% 2.39/2.48 (~(Y!0 = cell79)),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[4168, 10248])).
% 2.39/2.48 tff(10250,plain,
% 2.39/2.48 (~oxygen(cell79)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[5676, 10249])).
% 2.39/2.48 tff(10251,plain,
% 2.39/2.48 ((~(cell1 = cell90)) <=> (~(cell1 = cell90))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10252,axiom,(~(cell1 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49879')).
% 2.39/2.48 tff(10253,plain,
% 2.39/2.48 (~(cell1 = cell90)),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 2.39/2.48 tff(10254,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell1 = cell90) | (~oxygen(cell90)) | (~oxygen(cell1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell1 = cell90) | (~oxygen(cell90)) | (~oxygen(cell1)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10255,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell1 = cell90) | (~oxygen(cell90)) | (~oxygen(cell1)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10256,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell1 = cell90) | (~oxygen(cell90)) | (~oxygen(cell1))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10255, 10254])).
% 2.39/2.48 tff(10257,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10256, 9064, 1246, 10253, 10239])).
% 2.39/2.48 tff(10258,plain,((~oxygen(cell90)) | (~oxygen(cell1))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10259,plain,
% 2.39/2.48 (~oxygen(cell90)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10258, 10235])).
% 2.39/2.48 tff(10260,plain,
% 2.39/2.48 (oxygen(cell88)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[8142, 10259, 8122, 10250, 10245])).
% 2.39/2.48 tff(10261,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell1 = cell88) | (~oxygen(cell88)) | (~oxygen(cell1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell1 = cell88) | (~oxygen(cell88)) | (~oxygen(cell1)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10262,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell1 = cell88) | (~oxygen(cell88)) | (~oxygen(cell1)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10263,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell1 = cell88) | (~oxygen(cell88)) | (~oxygen(cell1))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10262, 10261])).
% 2.39/2.48 tff(10264,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10263, 10260, 1246, 10238, 10235])).
% 2.39/2.48 tff(10265,plain,(~(Y!0 = cell1)), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10266,plain,
% 2.39/2.48 (((~(X!1 = cell2)) | (~(Y!0 = cell1))) | (Y!0 = cell1)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
% 2.39/2.48 tff(10267,plain,
% 2.39/2.48 ((~(X!1 = cell2)) | (~(Y!0 = cell1))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10266, 10265])).
% 2.39/2.48 tff(10268,plain,
% 2.39/2.48 (((~(X!1 = cell3)) | (~(Y!0 = cell2))) | (Y!0 = cell2)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
% 2.39/2.48 tff(10269,plain,
% 2.39/2.48 ((~(X!1 = cell3)) | (~(Y!0 = cell2))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10268, 10224])).
% 2.39/2.48 tff(10270,plain,
% 2.39/2.48 (((~(X!1 = cell11)) | (~(Y!0 = cell1))) | (Y!0 = cell1)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
% 2.39/2.48 tff(10271,plain,
% 2.39/2.48 ((~(X!1 = cell11)) | (~(Y!0 = cell1))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10270, 10265])).
% 2.39/2.48 tff(10272,plain,
% 2.39/2.48 (((~(X!1 = cell89)) | (~(Y!0 = cell79))) | (Y!0 = cell79)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
% 2.39/2.48 tff(10273,plain,
% 2.39/2.48 ((~(X!1 = cell89)) | (~(Y!0 = cell79))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10272, 5666])).
% 2.39/2.48 tff(10274,assumption,(oxygen(cell13)), introduced(assumption)).
% 2.39/2.48 tff(10275,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell13) | (~oxygen(cell13)) | (~oxygen(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell90 = cell13) | (~oxygen(cell13)) | (~oxygen(cell90)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10276,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell90 = cell13) | (~oxygen(cell13)) | (~oxygen(cell90)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10277,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell90 = cell13) | (~oxygen(cell13)) | (~oxygen(cell90))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 2.39/2.48 tff(10278,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10277, 9064, 1246, 3963, 10274])).
% 2.39/2.48 tff(10279,plain,((~oxygen(cell90)) | (~oxygen(cell13))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10280,plain,
% 2.39/2.48 (~oxygen(cell90)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10279, 10274])).
% 2.39/2.48 tff(10281,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10282,plain,
% 2.39/2.48 (((cell89 = cell13) | (~oxygen(cell13)) | (~oxygen(cell89))) <=> ((cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10283,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell13) | (~oxygen(cell13)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13))))),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10282])).
% 2.39/2.48 tff(10284,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell13) | (~oxygen(cell13)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13)))),
% 2.39/2.48 inference(transitivity,[status(thm)],[10283, 10281])).
% 2.39/2.48 tff(10285,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell13) | (~oxygen(cell13)) | (~oxygen(cell89)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10286,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10285, 10284])).
% 2.39/2.48 tff(10287,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10286, 4123, 1246, 2647, 10274])).
% 2.39/2.48 tff(10288,plain,((~oxygen(cell89)) | (~oxygen(cell13))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10289,plain,
% 2.39/2.48 (~oxygen(cell89)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10288, 10274])).
% 2.39/2.48 tff(10290,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10291,plain,
% 2.39/2.48 (((cell88 = cell13) | (~oxygen(cell13)) | (~oxygen(cell88))) <=> ((cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10292,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell13) | (~oxygen(cell13)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13))))),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10291])).
% 2.39/2.48 tff(10293,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell13) | (~oxygen(cell13)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13)))),
% 2.39/2.48 inference(transitivity,[status(thm)],[10292, 10290])).
% 2.39/2.48 tff(10294,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell88 = cell13) | (~oxygen(cell13)) | (~oxygen(cell88)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10295,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10294, 10293])).
% 2.39/2.48 tff(10296,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10295, 4130, 1246, 3825, 10274])).
% 2.39/2.48 tff(10297,plain,((~oxygen(cell88)) | (~oxygen(cell13))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10298,plain,
% 2.39/2.48 (~oxygen(cell88)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10297, 10274])).
% 2.39/2.48 tff(10299,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell99 = cell13) | (~oxygen(cell13)) | (~oxygen(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell99 = cell13) | (~oxygen(cell13)) | (~oxygen(cell99)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10300,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell99 = cell13) | (~oxygen(cell13)) | (~oxygen(cell99)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10301,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell99 = cell13) | (~oxygen(cell13)) | (~oxygen(cell99))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 2.39/2.48 tff(10302,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10301, 8114, 1246, 4020, 10274])).
% 2.39/2.48 tff(10303,plain,((~oxygen(cell99)) | (~oxygen(cell13))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10304,plain,
% 2.39/2.48 (~oxygen(cell99)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10303, 10274])).
% 2.39/2.48 tff(10305,plain,
% 2.39/2.48 (oxygen(cell79)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[8142, 10304, 10298, 10289, 10280])).
% 2.39/2.48 tff(10306,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell79 = cell13) | (~oxygen(cell13)) | (~oxygen(cell79)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell79 = cell13) | (~oxygen(cell13)) | (~oxygen(cell79)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10307,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell79 = cell13) | (~oxygen(cell13)) | (~oxygen(cell79)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10308,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell79 = cell13) | (~oxygen(cell13)) | (~oxygen(cell79))),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[10307, 10306])).
% 2.39/2.48 tff(10309,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10308, 10305, 1246, 144, 10274])).
% 2.39/2.48 tff(10310,plain,(~oxygen(cell13)), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10311,assumption,(Y!0 = cell13), introduced(assumption)).
% 2.39/2.48 tff(10312,plain,
% 2.39/2.48 (cell13 = Y!0),
% 2.39/2.48 inference(symmetry,[status(thm)],[10311])).
% 2.39/2.48 tff(10313,plain,
% 2.39/2.48 (oxygen(cell13) <=> oxygen(Y!0)),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10312])).
% 2.39/2.48 tff(10314,plain,
% 2.39/2.48 (oxygen(Y!0) <=> oxygen(cell13)),
% 2.39/2.48 inference(symmetry,[status(thm)],[10313])).
% 2.39/2.48 tff(10315,plain,
% 2.39/2.48 (oxygen(cell13)),
% 2.39/2.48 inference(modus_ponens,[status(thm)],[1233, 10314])).
% 2.39/2.48 tff(10316,assumption,(~oxygen(cell13)), introduced(assumption)).
% 2.39/2.48 tff(10317,plain,
% 2.39/2.48 ($false),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10316, 10315])).
% 2.39/2.48 tff(10318,plain,(oxygen(cell13) | (~(Y!0 = cell13))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10319,plain,
% 2.39/2.48 (~(Y!0 = cell13)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10318, 10310])).
% 2.39/2.48 tff(10320,plain,
% 2.39/2.48 (((~(X!1 = cell14)) | (~(Y!0 = cell13))) | (Y!0 = cell13)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
% 2.39/2.48 tff(10321,plain,
% 2.39/2.48 ((~(X!1 = cell14)) | (~(Y!0 = cell13))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10320, 10319])).
% 2.39/2.48 tff(10322,assumption,(oxygen(cell22)), introduced(assumption)).
% 2.39/2.48 tff(10323,plain,
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% 2.39/2.48 inference(rewrite,[status(thm)],[])).
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% 2.39/2.48 (((cell89 = cell22) | (~oxygen(cell22)) | (~oxygen(cell89))) <=> ((cell89 = cell22) | (~oxygen(cell89)) | (~oxygen(cell22)))),
% 2.39/2.48 inference(rewrite,[status(thm)],[])).
% 2.39/2.48 tff(10325,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell22) | (~oxygen(cell22)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell22) | (~oxygen(cell89)) | (~oxygen(cell22))))),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10324])).
% 2.39/2.48 tff(10326,plain,
% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell22) | (~oxygen(cell22)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell22) | (~oxygen(cell89)) | (~oxygen(cell22)))),
% 2.39/2.48 inference(transitivity,[status(thm)],[10325, 10323])).
% 2.39/2.48 tff(10327,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell22) | (~oxygen(cell22)) | (~oxygen(cell89)))),
% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
% 2.39/2.48 tff(10328,plain,
% 2.39/2.48 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell22) | (~oxygen(cell89)) | (~oxygen(cell22))),
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10328, 4123, 1246, 2652, 10322])).
% 2.39/2.48 tff(10330,plain,((~oxygen(cell89)) | (~oxygen(cell22))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10331,plain,
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10330, 10322])).
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% 2.39/2.48 inference(transitivity,[status(thm)],[10334, 10332])).
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10339, 10322])).
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% 2.39/2.48 inference(monotonicity,[status(thm)],[10342])).
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% 2.39/2.48 inference(transitivity,[status(thm)],[10343, 10341])).
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10348, 10322])).
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% 2.39/2.48 inference(rewrite,[status(thm)],[])).
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% 2.39/2.48 inference(rewrite,[status(thm)],[])).
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% 2.39/2.48 inference(monotonicity,[status(thm)],[10351])).
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% 2.39/2.48 inference(transitivity,[status(thm)],[10352, 10350])).
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% 2.39/2.48 inference(quant_inst,[status(thm)],[])).
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% 2.39/2.48 inference(modus_ponens,[status(thm)],[10354, 10353])).
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% 2.39/2.48 tff(10358,plain,
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10357, 10322])).
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[8142, 10358, 10349, 10340, 10331])).
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% 2.39/2.48 inference(rewrite,[status(thm)],[])).
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% 2.39/2.48 inference(rewrite,[status(thm)],[])).
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% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell99 = cell22) | (~oxygen(cell22)) | (~oxygen(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell99 = cell22) | (~oxygen(cell99)) | (~oxygen(cell22))))),
% 2.39/2.48 inference(monotonicity,[status(thm)],[10361])).
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% 2.39/2.48 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell99 = cell22) | (~oxygen(cell22)) | (~oxygen(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell99 = cell22) | (~oxygen(cell99)) | (~oxygen(cell22)))),
% 2.39/2.48 inference(transitivity,[status(thm)],[10362, 10360])).
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% 2.39/2.48 inference(symmetry,[status(thm)],[10368])).
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% 2.39/2.48 inference(monotonicity,[status(thm)],[10369])).
% 2.39/2.48 tff(10371,plain,
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% 2.39/2.48 inference(symmetry,[status(thm)],[10370])).
% 2.39/2.48 tff(10372,plain,
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% 2.39/2.48 inference(modus_ponens,[status(thm)],[1233, 10371])).
% 2.39/2.48 tff(10373,assumption,(~oxygen(cell22)), introduced(assumption)).
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10373, 10372])).
% 2.39/2.48 tff(10375,plain,(oxygen(cell22) | (~(Y!0 = cell22))), inference(lemma,lemma(discharge,[]))).
% 2.39/2.48 tff(10376,plain,
% 2.39/2.48 (~(Y!0 = cell22)),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10375, 10367])).
% 2.39/2.48 tff(10377,plain,
% 2.39/2.48 (((~(X!1 = cell23)) | (~(Y!0 = cell22))) | (Y!0 = cell22)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
% 2.39/2.48 tff(10378,plain,
% 2.39/2.48 ((~(X!1 = cell23)) | (~(Y!0 = cell22))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10377, 10376])).
% 2.39/2.48 tff(10379,plain,
% 2.39/2.48 (((~(X!1 = cell90)) | (~(Y!0 = cell89))) | (Y!0 = cell89)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
% 2.39/2.48 tff(10380,plain,
% 2.39/2.48 ((~(X!1 = cell90)) | (~(Y!0 = cell89))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10379, 4122])).
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% 2.39/2.48 (((~(X!1 = cell100)) | (~(Y!0 = cell99))) | (Y!0 = cell99)),
% 2.39/2.48 inference(tautology,[status(thm)],[])).
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% 2.39/2.48 ((~(X!1 = cell100)) | (~(Y!0 = cell99))),
% 2.39/2.48 inference(unit_resolution,[status(thm)],[10381, 8113])).
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% 2.39/2.48 inference(tautology,[status(thm)],[])).
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10383, 10319])).
% 2.39/2.48 tff(10385,plain,
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% 2.39/2.48 inference(tautology,[status(thm)],[])).
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10385, 10376])).
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% 2.39/2.48 inference(tautology,[status(thm)],[])).
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% 2.39/2.48 inference(unit_resolution,[status(thm)],[10387, 4122])).
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% 2.48/2.52 inference(unit_resolution,[status(thm)],[10391, 10183, 10181, 9314, 9313, 10179, 10177, 10168, 10166, 10164, 10163, 10161, 10159, 10157, 10155, 10153, 10151, 10142, 10141, 9308, 10139, 10137, 10135, 10133, 10131, 10129, 10127, 10118, 9307, 10116, 10114, 10112, 10110, 10108, 10106, 10104, 10102, 10093, 10091, 10089, 10087, 10085, 10083, 10081, 10079, 10077, 10075, 10066, 10064, 10062, 10060, 10058, 10056, 10054, 10052, 10050, 10048, 10039, 10037, 10035, 10033, 10031, 10029, 10027, 10025, 10023, 10014, 10012, 10010, 10008, 10006, 10004, 10002, 10000, 9998, 9988, 9986, 9984, 9982, 9980, 9978, 9976, 9967, 9966, 9964, 9962, 9957, 9955, 9953, 9951, 9949, 9947, 9945, 9944, 9943, 9934, 9925, 9916, 9907, 9898, 9889, 9883, 9297, 9881, 9872, 9863, 9854, 9845, 9836, 9827, 9296, 9818, 9809, 9800, 9791, 9782, 9773, 9764, 9755, 9746, 9737, 9728, 9719, 9710, 9701, 9692, 9683, 9674, 9665, 9656, 9647, 9638, 9629, 9620, 9611, 9602, 9593, 9584, 9575, 9566, 9557, 9548, 9539, 9530, 9521, 9512, 9503, 9494, 9485, 9476, 9467, 9458, 9449, 9442, 9433, 9424, 9415, 9406, 9397, 9388, 9381, 9379, 9370, 9361, 9352, 9343, 9334, 9325, 9316])).
% 2.48/2.52 tff(10393,plain,((~(cell11 = X!1)) | (~((~((~(X!1 = cell100)) | (~(Y!0 = cell90)))) | (~((~(X!1 = cell99)) | (~(Y!0 = cell89)))) | (~((~(X!1 = cell98)) | (~(Y!0 = cell88)))) | (~((~(X!1 = cell97)) | (~(Y!0 = cell87)))) | (~((~(X!1 = cell96)) | (~(Y!0 = cell86)))) | (~((~(X!1 = cell95)) | (~(Y!0 = cell85)))) | (~((~(X!1 = cell94)) | (~(Y!0 = cell84)))) | (~((~(X!1 = cell93)) | (~(Y!0 = cell83)))) | (~((~(X!1 = cell92)) | (~(Y!0 = cell82)))) | (~((~(X!1 = cell91)) | (~(Y!0 = cell81)))) | (~((~(X!1 = cell90)) | (~(Y!0 = cell80)))) | (~((~(X!1 = cell89)) | (~(Y!0 = cell79)))) | (~((~(X!1 = cell88)) | (~(Y!0 = cell78)))) | (~((~(X!1 = cell87)) | (~(Y!0 = cell77)))) | (~((~(X!1 = cell86)) | (~(Y!0 = cell76)))) | (~((~(X!1 = cell85)) | (~(Y!0 = cell75)))) | (~((~(X!1 = cell84)) | (~(Y!0 = cell74)))) | (~((~(X!1 = cell83)) | (~(Y!0 = cell73)))) | (~((~(X!1 = cell82)) | (~(Y!0 = cell72)))) | (~((~(X!1 = cell81)) | (~(Y!0 = cell71)))) | (~((~(X!1 = cell80)) | (~(Y!0 = cell70)))) | (~((~(X!1 = cell79)) | (~(Y!0 = cell69)))) | (~((~(X!1 = cell78)) | (~(Y!0 = cell68)))) | (~((~(X!1 = cell77)) | (~(Y!0 = cell67)))) | (~((~(X!1 = cell76)) | (~(Y!0 = cell66)))) | (~((~(X!1 = cell75)) | (~(Y!0 = cell65)))) | (~((~(X!1 = cell74)) | (~(Y!0 = cell64)))) | (~((~(X!1 = cell73)) | (~(Y!0 = cell63)))) | (~((~(X!1 = cell72)) | (~(Y!0 = cell62)))) | (~((~(X!1 = cell71)) | (~(Y!0 = cell61)))) | (~((~(X!1 = cell70)) | (~(Y!0 = cell60)))) | (~((~(X!1 = cell69)) | (~(Y!0 = cell59)))) | (~((~(X!1 = cell68)) | (~(Y!0 = cell58)))) | (~((~(X!1 = cell67)) | (~(Y!0 = cell57)))) | (~((~(X!1 = cell66)) | (~(Y!0 = cell56)))) | (~((~(X!1 = cell65)) | (~(Y!0 = cell55)))) | (~((~(X!1 = cell64)) | (~(Y!0 = cell54)))) | (~((~(X!1 = cell63)) | (~(Y!0 = cell53)))) | (~((~(X!1 = cell62)) | (~(Y!0 = cell52)))) | (~((~(X!1 = cell61)) | (~(Y!0 = cell51)))) | (~((~(X!1 = cell60)) | (~(Y!0 = cell50)))) | (~((~(X!1 = cell59)) | (~(Y!0 = cell49)))) | (~((~(X!1 = cell58)) | (~(Y!0 = cell48)))) | (~((~(X!1 = cell57)) | (~(Y!0 = cell47)))) | (~((~(X!1 = cell56)) | (~(Y!0 = cell46)))) | (~((~(X!1 = cell55)) | (~(Y!0 = cell45)))) | (~((~(X!1 = cell54)) | (~(Y!0 = cell44)))) | (~((~(X!1 = cell53)) | (~(Y!0 = cell43)))) | (~((~(X!1 = cell52)) | (~(Y!0 = cell42)))) | (~((~(X!1 = cell51)) | (~(Y!0 = cell41)))) | (~((~(X!1 = cell50)) | (~(Y!0 = cell40)))) | (~((~(X!1 = cell49)) | (~(Y!0 = cell39)))) | (~((~(X!1 = cell48)) | (~(Y!0 = cell38)))) | (~((~(X!1 = cell47)) | (~(Y!0 = cell37)))) | (~((~(X!1 = cell46)) | (~(Y!0 = cell36)))) | (~((~(X!1 = cell45)) | (~(Y!0 = cell35)))) | (~((~(X!1 = cell44)) | (~(Y!0 = cell34)))) | (~((~(X!1 = cell43)) | (~(Y!0 = cell33)))) | (~((~(X!1 = cell42)) | (~(Y!0 = cell32)))) | (~((~(X!1 = cell41)) | (~(Y!0 = cell31)))) | (~((~(X!1 = cell40)) | (~(Y!0 = cell30)))) | (~((~(X!1 = cell39)) | (~(Y!0 = cell29)))) | (~((~(X!1 = cell38)) | (~(Y!0 = cell28)))) | (~((~(X!1 = cell37)) | (~(Y!0 = cell27)))) | (~((~(X!1 = cell36)) | (~(Y!0 = cell26)))) | (~((~(X!1 = cell35)) | (~(Y!0 = cell25)))) | (~((~(X!1 = cell34)) | (~(Y!0 = cell24)))) | (~((~(X!1 = cell33)) | (~(Y!0 = cell23)))) | (~((~(X!1 = cell32)) | (~(Y!0 = cell22)))) | (~((~(X!1 = cell31)) | (~(Y!0 = cell21)))) | (~((~(X!1 = cell30)) | (~(Y!0 = cell20)))) | (~((~(X!1 = cell29)) | (~(Y!0 = cell19)))) | (~((~(X!1 = cell28)) | (~(Y!0 = cell18)))) | (~((~(X!1 = cell27)) | (~(Y!0 = cell17)))) | (~((~(X!1 = cell26)) | (~(Y!0 = cell16)))) | (~((~(X!1 = cell25)) | (~(Y!0 = cell15)))) | (~((~(X!1 = cell24)) | (~(Y!0 = cell14)))) | (~((~(X!1 = cell23)) | (~(Y!0 = cell13)))) | (~((~(X!1 = cell22)) | (~(Y!0 = cell12)))) | (~((~(X!1 = cell21)) | (~(Y!0 = cell11)))) | (~((~(X!1 = cell20)) | (~(Y!0 = cell10)))) | (~((~(X!1 = cell19)) | (~(Y!0 = cell9)))) | (~((~(X!1 = cell18)) | (~(Y!0 = cell8)))) | (~((~(X!1 = cell17)) | (~(Y!0 = cell7)))) | (~((~(X!1 = cell16)) | (~(Y!0 = cell6)))) | (~((~(X!1 = cell15)) | (~(Y!0 = cell5)))) | (~((~(X!1 = cell14)) | (~(Y!0 = cell4)))) | (~((~(X!1 = cell13)) | (~(Y!0 = cell3)))) | (~((~(X!1 = cell12)) | (~(Y!0 = cell2)))) | (~((~(X!1 = cell11)) | (~(Y!0 = cell1)))) | (~((~(X!1 = cell100)) | (~(Y!0 = cell99)))) | (~((~(X!1 = cell99)) | (~(Y!0 = cell98)))) | (~((~(X!1 = cell98)) | (~(Y!0 = cell97)))) | (~((~(X!1 = cell97)) | (~(Y!0 = cell96)))) | (~((~(X!1 = cell96)) | (~(Y!0 = cell95)))) | (~((~(X!1 = cell95)) | (~(Y!0 = cell94)))) | (~((~(X!1 = cell94)) | (~(Y!0 = cell93)))) | (~((~(X!1 = cell93)) | (~(Y!0 = cell92)))) | (~((~(X!1 = cell92)) | (~(Y!0 = cell91)))) | (~((~(X!1 = cell90)) | (~(Y!0 = cell89)))) | (~((~(X!1 = cell89)) | (~(Y!0 = cell88)))) | (~((~(X!1 = cell88)) | (~(Y!0 = cell87)))) | (~((~(X!1 = cell87)) | (~(Y!0 = cell86)))) | (~((~(X!1 = cell86)) | (~(Y!0 = cell85)))) | (~((~(X!1 = cell85)) | (~(Y!0 = cell84)))) | (~((~(X!1 = cell84)) | (~(Y!0 = cell83)))) | (~((~(X!1 = cell83)) | (~(Y!0 = cell82)))) | (~((~(X!1 = cell82)) | (~(Y!0 = cell81)))) | (~((~(X!1 = cell80)) | (~(Y!0 = cell79)))) | (~((~(X!1 = cell79)) | (~(Y!0 = cell78)))) | (~((~(X!1 = cell78)) | (~(Y!0 = cell77)))) | (~((~(X!1 = cell77)) | (~(Y!0 = cell76)))) | (~((~(X!1 = cell76)) | (~(Y!0 = cell75)))) | (~((~(X!1 = cell75)) | (~(Y!0 = cell74)))) | (~((~(X!1 = cell74)) | (~(Y!0 = cell73)))) | (~((~(X!1 = cell73)) | (~(Y!0 = cell72)))) | (~((~(X!1 = cell72)) | (~(Y!0 = cell71)))) | (~((~(X!1 = cell70)) | (~(Y!0 = cell69)))) | (~((~(X!1 = cell69)) | (~(Y!0 = cell68)))) | (~((~(X!1 = cell68)) | (~(Y!0 = cell67)))) | (~((~(X!1 = cell67)) | (~(Y!0 = cell66)))) | (~((~(X!1 = cell66)) | (~(Y!0 = cell65)))) | (~((~(X!1 = cell65)) | (~(Y!0 = cell64)))) | (~((~(X!1 = cell64)) | (~(Y!0 = cell63)))) | (~((~(X!1 = cell63)) | (~(Y!0 = cell62)))) | (~((~(X!1 = cell62)) | (~(Y!0 = cell61)))) | (~((~(X!1 = cell60)) | (~(Y!0 = cell59)))) | (~((~(X!1 = cell59)) | (~(Y!0 = cell58)))) | (~((~(X!1 = cell58)) | (~(Y!0 = cell57)))) | (~((~(X!1 = cell57)) | (~(Y!0 = cell56)))) | (~((~(X!1 = cell56)) | (~(Y!0 = cell55)))) | (~((~(X!1 = cell55)) | (~(Y!0 = cell54)))) | (~((~(X!1 = cell54)) | (~(Y!0 = cell53)))) | (~((~(X!1 = cell53)) | (~(Y!0 = cell52)))) | (~((~(X!1 = cell52)) | (~(Y!0 = cell51)))) | (~((~(X!1 = cell50)) | (~(Y!0 = cell49)))) | (~((~(X!1 = cell49)) | (~(Y!0 = cell48)))) | (~((~(X!1 = cell48)) | (~(Y!0 = cell47)))) | (~((~(X!1 = cell47)) | (~(Y!0 = cell46)))) | (~((~(X!1 = cell46)) | (~(Y!0 = cell45)))) | (~((~(X!1 = cell45)) | (~(Y!0 = cell44)))) | (~((~(X!1 = cell44)) | (~(Y!0 = cell43)))) | (~((~(X!1 = cell43)) | (~(Y!0 = cell42)))) | (~((~(X!1 = cell42)) | (~(Y!0 = cell41)))) | (~((~(X!1 = cell40)) | (~(Y!0 = cell39)))) | (~((~(X!1 = cell39)) | (~(Y!0 = cell38)))) | (~((~(X!1 = cell38)) | (~(Y!0 = cell37)))) | (~((~(X!1 = cell37)) | (~(Y!0 = cell36)))) | (~((~(X!1 = cell36)) | (~(Y!0 = cell35)))) | (~((~(X!1 = cell35)) | (~(Y!0 = cell34)))) | (~((~(X!1 = cell34)) | (~(Y!0 = cell33)))) | (~((~(X!1 = cell33)) | (~(Y!0 = cell32)))) | (~((~(X!1 = cell32)) | (~(Y!0 = cell31)))) | (~((~(X!1 = cell30)) | (~(Y!0 = cell29)))) | (~((~(X!1 = cell29)) | (~(Y!0 = cell28)))) | (~((~(X!1 = cell28)) | (~(Y!0 = cell27)))) | (~((~(X!1 = cell27)) | (~(Y!0 = cell26)))) | (~((~(X!1 = cell26)) | (~(Y!0 = cell25)))) | (~((~(X!1 = cell25)) | (~(Y!0 = cell24)))) | (~((~(X!1 = cell24)) | (~(Y!0 = cell23)))) | (~((~(X!1 = cell23)) | (~(Y!0 = cell22)))) | (~((~(X!1 = cell22)) | (~(Y!0 = cell21)))) | (~((~(X!1 = cell20)) | (~(Y!0 = cell19)))) | (~((~(X!1 = cell19)) | (~(Y!0 = cell18)))) | (~((~(X!1 = cell18)) | (~(Y!0 = cell17)))) | (~((~(X!1 = cell17)) | (~(Y!0 = cell16)))) | (~((~(X!1 = cell16)) | (~(Y!0 = cell15)))) | (~((~(X!1 = cell15)) | (~(Y!0 = cell14)))) | (~((~(X!1 = cell14)) | (~(Y!0 = cell13)))) | (~((~(X!1 = cell13)) | (~(Y!0 = cell12)))) | (~((~(X!1 = cell12)) | (~(Y!0 = cell11)))) | (~((~(X!1 = cell10)) | (~(Y!0 = cell9)))) | (~((~(X!1 = cell9)) | (~(Y!0 = cell8)))) | (~((~(X!1 = cell8)) | (~(Y!0 = cell7)))) | (~((~(X!1 = cell7)) | (~(Y!0 = cell6)))) | (~((~(X!1 = cell6)) | (~(Y!0 = cell5)))) | (~((~(X!1 = cell5)) | (~(Y!0 = cell4)))) | (~((~(X!1 = cell4)) | (~(Y!0 = cell3)))) | (~((~(X!1 = cell3)) | (~(Y!0 = cell2)))) | (~((~(X!1 = cell2)) | (~(Y!0 = cell1)))))) | (~((~(X!1 = cell12)) | (~(Y!0 = cell11)))) | (~((~(X!1 = cell88)) | (~(Y!0 = cell78)))) | (~((~(X!1 = cell80)) | (~(Y!0 = cell70)))) | (~((~(X!1 = cell78)) | (~(Y!0 = cell68)))) | (~((~(X!1 = cell69)) | (~(Y!0 = cell59)))) | (~((~(X!1 = cell89)) | (~(Y!0 = cell88)))) | (~((~(X!1 = cell88)) | (~(Y!0 = cell87)))) | (~((~(X!1 = cell78)) | (~(Y!0 = cell77)))) | (~((~(X!1 = cell69)) | (~(Y!0 = cell68))))), inference(lemma,lemma(discharge,[]))).
% 2.48/2.52 tff(10394,plain,
% 2.48/2.52 (~(cell11 = X!1)),
% 2.48/2.52 inference(unit_resolution,[status(thm)],[10393, 9314, 9313, 9312, 9310, 9308, 9307, 9306, 9301, 9297, 9296])).
% 2.48/2.52 tff(10395,plain,
% 2.48/2.52 (~patient(cell11)),
% 2.48/2.52 inference(unit_resolution,[status(thm)],[1077, 10394])).
% 2.48/2.52 tff(10396,plain,
% 2.48/2.52 (patient(cell22)),
% 2.48/2.52 inference(unit_resolution,[status(thm)],[1153, 10395, 1116, 3822, 30])).
% 2.48/2.52 tff(10397,plain,
% 2.48/2.52 (cell22 = X!1),
% 2.48/2.52 inference(unit_resolution,[status(thm)],[6128, 10396, 28, 15])).
% 2.48/2.52 tff(10398,plain,
% 2.48/2.52 (X!1 = cell22),
% 2.48/2.52 inference(symmetry,[status(thm)],[10397])).
% 2.48/2.52 tff(10399,assumption,((~(X!1 = cell95)) | (~(Y!0 = cell85))), introduced(assumption)).
% 2.48/2.52 tff(10400,assumption,((~(X!1 = cell4)) | (~(Y!0 = cell3))), introduced(assumption)).
% 2.48/2.52 tff(10401,assumption,((~(X!1 = cell5)) | (~(Y!0 = cell4))), introduced(assumption)).
% 2.48/2.52 tff(10402,assumption,((~(X!1 = cell6)) | (~(Y!0 = cell5))), introduced(assumption)).
% 2.48/2.52 tff(10403,assumption,((~(X!1 = cell7)) | (~(Y!0 = cell6))), introduced(assumption)).
% 2.48/2.52 tff(10404,assumption,((~(X!1 = cell8)) | (~(Y!0 = cell7))), introduced(assumption)).
% 2.48/2.52 tff(10405,assumption,((~(X!1 = cell9)) | (~(Y!0 = cell8))), introduced(assumption)).
% 2.48/2.52 tff(10406,assumption,((~(X!1 = cell10)) | (~(Y!0 = cell9))), introduced(assumption)).
% 2.48/2.52 tff(10407,assumption,((~(X!1 = cell96)) | (~(Y!0 = cell86))), introduced(assumption)).
% 2.48/2.52 tff(10408,assumption,((~(X!1 = cell13)) | (~(Y!0 = cell12))), introduced(assumption)).
% 2.48/2.52 tff(10409,assumption,((~(X!1 = cell15)) | (~(Y!0 = cell14))), introduced(assumption)).
% 2.48/2.52 tff(10410,assumption,((~(X!1 = cell16)) | (~(Y!0 = cell15))), introduced(assumption)).
% 2.48/2.52 tff(10411,assumption,((~(X!1 = cell17)) | (~(Y!0 = cell16))), introduced(assumption)).
% 2.48/2.52 tff(10412,assumption,((~(X!1 = cell18)) | (~(Y!0 = cell17))), introduced(assumption)).
% 2.48/2.52 tff(10413,assumption,((~(X!1 = cell19)) | (~(Y!0 = cell18))), introduced(assumption)).
% 2.48/2.52 tff(10414,assumption,((~(X!1 = cell20)) | (~(Y!0 = cell19))), introduced(assumption)).
% 2.48/2.52 tff(10415,assumption,((~(X!1 = cell87)) | (~(Y!0 = cell77))), introduced(assumption)).
% 2.48/2.52 tff(10416,assumption,((~(X!1 = cell24)) | (~(Y!0 = cell23))), introduced(assumption)).
% 2.48/2.52 tff(10417,assumption,((~(X!1 = cell25)) | (~(Y!0 = cell24))), introduced(assumption)).
% 2.48/2.52 tff(10418,assumption,((~(X!1 = cell26)) | (~(Y!0 = cell25))), introduced(assumption)).
% 2.48/2.52 tff(10419,assumption,((~(X!1 = cell27)) | (~(Y!0 = cell26))), introduced(assumption)).
% 2.48/2.52 tff(10420,assumption,((~(X!1 = cell28)) | (~(Y!0 = cell27))), introduced(assumption)).
% 2.48/2.52 tff(10421,assumption,((~(X!1 = cell29)) | (~(Y!0 = cell28))), introduced(assumption)).
% 2.48/2.52 tff(10422,assumption,((~(X!1 = cell30)) | (~(Y!0 = cell29))), introduced(assumption)).
% 2.48/2.52 tff(10423,assumption,((~(X!1 = cell32)) | (~(Y!0 = cell31))), introduced(assumption)).
% 2.48/2.52 tff(10424,assumption,((~(X!1 = cell33)) | (~(Y!0 = cell32))), introduced(assumption)).
% 2.48/2.52 tff(10425,assumption,((~(X!1 = cell34)) | (~(Y!0 = cell33))), introduced(assumption)).
% 2.48/2.52 tff(10426,assumption,((~(X!1 = cell35)) | (~(Y!0 = cell34))), introduced(assumption)).
% 2.48/2.52 tff(10427,assumption,((~(X!1 = cell36)) | (~(Y!0 = cell35))), introduced(assumption)).
% 2.48/2.52 tff(10428,assumption,((~(X!1 = cell37)) | (~(Y!0 = cell36))), introduced(assumption)).
% 2.48/2.52 tff(10429,assumption,((~(X!1 = cell38)) | (~(Y!0 = cell37))), introduced(assumption)).
% 2.48/2.52 tff(10430,assumption,((~(X!1 = cell39)) | (~(Y!0 = cell38))), introduced(assumption)).
% 2.48/2.52 tff(10431,assumption,((~(X!1 = cell40)) | (~(Y!0 = cell39))), introduced(assumption)).
% 2.48/2.52 tff(10432,assumption,((~(X!1 = cell42)) | (~(Y!0 = cell41))), introduced(assumption)).
% 2.48/2.52 tff(10433,assumption,((~(X!1 = cell43)) | (~(Y!0 = cell42))), introduced(assumption)).
% 2.48/2.52 tff(10434,assumption,((~(X!1 = cell44)) | (~(Y!0 = cell43))), introduced(assumption)).
% 2.48/2.52 tff(10435,assumption,((~(X!1 = cell45)) | (~(Y!0 = cell44))), introduced(assumption)).
% 2.48/2.52 tff(10436,assumption,((~(X!1 = cell46)) | (~(Y!0 = cell45))), introduced(assumption)).
% 2.48/2.52 tff(10437,assumption,((~(X!1 = cell47)) | (~(Y!0 = cell46))), introduced(assumption)).
% 2.48/2.52 tff(10438,assumption,((~(X!1 = cell48)) | (~(Y!0 = cell47))), introduced(assumption)).
% 2.48/2.52 tff(10439,assumption,((~(X!1 = cell49)) | (~(Y!0 = cell48))), introduced(assumption)).
% 2.48/2.52 tff(10440,assumption,((~(X!1 = cell50)) | (~(Y!0 = cell49))), introduced(assumption)).
% 2.48/2.52 tff(10441,assumption,((~(X!1 = cell52)) | (~(Y!0 = cell51))), introduced(assumption)).
% 2.48/2.52 tff(10442,assumption,((~(X!1 = cell53)) | (~(Y!0 = cell52))), introduced(assumption)).
% 2.48/2.52 tff(10443,assumption,((~(X!1 = cell54)) | (~(Y!0 = cell53))), introduced(assumption)).
% 2.48/2.52 tff(10444,assumption,((~(X!1 = cell55)) | (~(Y!0 = cell54))), introduced(assumption)).
% 2.48/2.52 tff(10445,assumption,((~(X!1 = cell56)) | (~(Y!0 = cell55))), introduced(assumption)).
% 2.48/2.52 tff(10446,assumption,((~(X!1 = cell57)) | (~(Y!0 = cell56))), introduced(assumption)).
% 2.48/2.52 tff(10447,assumption,((~(X!1 = cell58)) | (~(Y!0 = cell57))), introduced(assumption)).
% 2.48/2.52 tff(10448,assumption,((~(X!1 = cell59)) | (~(Y!0 = cell58))), introduced(assumption)).
% 2.48/2.52 tff(10449,assumption,((~(X!1 = cell60)) | (~(Y!0 = cell59))), introduced(assumption)).
% 2.48/2.52 tff(10450,assumption,((~(X!1 = cell62)) | (~(Y!0 = cell61))), introduced(assumption)).
% 2.48/2.52 tff(10451,assumption,((~(X!1 = cell63)) | (~(Y!0 = cell62))), introduced(assumption)).
% 2.48/2.52 tff(10452,assumption,((~(X!1 = cell64)) | (~(Y!0 = cell63))), introduced(assumption)).
% 2.48/2.52 tff(10453,assumption,((~(X!1 = cell65)) | (~(Y!0 = cell64))), introduced(assumption)).
% 2.48/2.52 tff(10454,assumption,((~(X!1 = cell66)) | (~(Y!0 = cell65))), introduced(assumption)).
% 2.48/2.52 tff(10455,assumption,((~(X!1 = cell67)) | (~(Y!0 = cell66))), introduced(assumption)).
% 2.48/2.52 tff(10456,assumption,((~(X!1 = cell68)) | (~(Y!0 = cell67))), introduced(assumption)).
% 2.48/2.52 tff(10457,assumption,((~(X!1 = cell70)) | (~(Y!0 = cell69))), introduced(assumption)).
% 2.48/2.52 tff(10458,assumption,((~(X!1 = cell72)) | (~(Y!0 = cell71))), introduced(assumption)).
% 2.48/2.52 tff(10459,assumption,((~(X!1 = cell73)) | (~(Y!0 = cell72))), introduced(assumption)).
% 2.48/2.52 tff(10460,assumption,((~(X!1 = cell74)) | (~(Y!0 = cell73))), introduced(assumption)).
% 2.48/2.52 tff(10461,assumption,((~(X!1 = cell75)) | (~(Y!0 = cell74))), introduced(assumption)).
% 2.48/2.52 tff(10462,assumption,((~(X!1 = cell76)) | (~(Y!0 = cell75))), introduced(assumption)).
% 2.48/2.52 tff(10463,assumption,((~(X!1 = cell77)) | (~(Y!0 = cell76))), introduced(assumption)).
% 2.48/2.52 tff(10464,assumption,((~(X!1 = cell79)) | (~(Y!0 = cell78))), introduced(assumption)).
% 2.48/2.52 tff(10465,assumption,((~(X!1 = cell22)) | (~(Y!0 = cell12))), introduced(assumption)).
% 2.48/2.52 tff(10466,assumption,((~(X!1 = cell82)) | (~(Y!0 = cell81))), introduced(assumption)).
% 2.48/2.52 tff(10467,assumption,((~(X!1 = cell83)) | (~(Y!0 = cell82))), introduced(assumption)).
% 2.48/2.52 tff(10468,assumption,((~(X!1 = cell84)) | (~(Y!0 = cell83))), introduced(assumption)).
% 2.48/2.52 tff(10469,assumption,((~(X!1 = cell85)) | (~(Y!0 = cell84))), introduced(assumption)).
% 2.48/2.52 tff(10470,assumption,((~(X!1 = cell86)) | (~(Y!0 = cell85))), introduced(assumption)).
% 2.48/2.52 tff(10471,assumption,((~(X!1 = cell87)) | (~(Y!0 = cell86))), introduced(assumption)).
% 2.48/2.52 tff(10472,assumption,((~(X!1 = cell92)) | (~(Y!0 = cell91))), introduced(assumption)).
% 2.48/2.52 tff(10473,assumption,((~(X!1 = cell93)) | (~(Y!0 = cell92))), introduced(assumption)).
% 2.48/2.52 tff(10474,assumption,((~(X!1 = cell94)) | (~(Y!0 = cell93))), introduced(assumption)).
% 2.48/2.52 tff(10475,assumption,((~(X!1 = cell95)) | (~(Y!0 = cell94))), introduced(assumption)).
% 2.48/2.52 tff(10476,assumption,((~(X!1 = cell96)) | (~(Y!0 = cell95))), introduced(assumption)).
% 2.48/2.52 tff(10477,assumption,((~(X!1 = cell97)) | (~(Y!0 = cell96))), introduced(assumption)).
% 2.48/2.52 tff(10478,assumption,((~(X!1 = cell98)) | (~(Y!0 = cell97))), introduced(assumption)).
% 2.48/2.52 tff(10479,assumption,((~(X!1 = cell99)) | (~(Y!0 = cell98))), introduced(assumption)).
% 2.48/2.52 tff(10480,assumption,((~(X!1 = cell97)) | (~(Y!0 = cell87))), introduced(assumption)).
% 2.48/2.52 tff(10481,assumption,((~(X!1 = cell13)) | (~(Y!0 = cell3))), introduced(assumption)).
% 2.48/2.52 tff(10482,assumption,((~(X!1 = cell14)) | (~(Y!0 = cell4))), introduced(assumption)).
% 2.48/2.52 tff(10483,assumption,((~(X!1 = cell15)) | (~(Y!0 = cell5))), introduced(assumption)).
% 2.48/2.53 tff(10484,assumption,((~(X!1 = cell16)) | (~(Y!0 = cell6))), introduced(assumption)).
% 2.48/2.53 tff(10485,assumption,((~(X!1 = cell17)) | (~(Y!0 = cell7))), introduced(assumption)).
% 2.48/2.53 tff(10486,assumption,((~(X!1 = cell18)) | (~(Y!0 = cell8))), introduced(assumption)).
% 2.48/2.53 tff(10487,assumption,((~(X!1 = cell19)) | (~(Y!0 = cell9))), introduced(assumption)).
% 2.48/2.53 tff(10488,assumption,((~(X!1 = cell20)) | (~(Y!0 = cell10))), introduced(assumption)).
% 2.48/2.53 tff(10489,assumption,((~(X!1 = cell21)) | (~(Y!0 = cell11))), introduced(assumption)).
% 2.48/2.53 tff(10490,assumption,((~(X!1 = cell91)) | (~(Y!0 = cell81))), introduced(assumption)).
% 2.48/2.53 tff(10491,assumption,((~(X!1 = cell24)) | (~(Y!0 = cell14))), introduced(assumption)).
% 2.48/2.53 tff(10492,assumption,((~(X!1 = cell25)) | (~(Y!0 = cell15))), introduced(assumption)).
% 2.48/2.53 tff(10493,assumption,((~(X!1 = cell26)) | (~(Y!0 = cell16))), introduced(assumption)).
% 2.48/2.53 tff(10494,assumption,((~(X!1 = cell27)) | (~(Y!0 = cell17))), introduced(assumption)).
% 2.48/2.53 tff(10495,assumption,((~(X!1 = cell28)) | (~(Y!0 = cell18))), introduced(assumption)).
% 2.48/2.53 tff(10496,assumption,((~(X!1 = cell29)) | (~(Y!0 = cell19))), introduced(assumption)).
% 2.48/2.53 tff(10497,assumption,((~(X!1 = cell30)) | (~(Y!0 = cell20))), introduced(assumption)).
% 2.48/2.53 tff(10498,assumption,((~(X!1 = cell31)) | (~(Y!0 = cell21))), introduced(assumption)).
% 2.48/2.53 tff(10499,assumption,((~(X!1 = cell33)) | (~(Y!0 = cell23))), introduced(assumption)).
% 2.48/2.53 tff(10500,assumption,((~(X!1 = cell34)) | (~(Y!0 = cell24))), introduced(assumption)).
% 2.48/2.53 tff(10501,assumption,((~(X!1 = cell35)) | (~(Y!0 = cell25))), introduced(assumption)).
% 2.48/2.53 tff(10502,assumption,((~(X!1 = cell36)) | (~(Y!0 = cell26))), introduced(assumption)).
% 2.48/2.53 tff(10503,assumption,((~(X!1 = cell37)) | (~(Y!0 = cell27))), introduced(assumption)).
% 2.48/2.53 tff(10504,assumption,((~(X!1 = cell38)) | (~(Y!0 = cell28))), introduced(assumption)).
% 2.48/2.53 tff(10505,assumption,((~(X!1 = cell39)) | (~(Y!0 = cell29))), introduced(assumption)).
% 2.48/2.53 tff(10506,assumption,((~(X!1 = cell40)) | (~(Y!0 = cell30))), introduced(assumption)).
% 2.48/2.53 tff(10507,assumption,((~(X!1 = cell41)) | (~(Y!0 = cell31))), introduced(assumption)).
% 2.48/2.53 tff(10508,assumption,((~(X!1 = cell42)) | (~(Y!0 = cell32))), introduced(assumption)).
% 2.48/2.53 tff(10509,assumption,((~(X!1 = cell43)) | (~(Y!0 = cell33))), introduced(assumption)).
% 2.48/2.53 tff(10510,assumption,((~(X!1 = cell44)) | (~(Y!0 = cell34))), introduced(assumption)).
% 2.48/2.53 tff(10511,assumption,((~(X!1 = cell45)) | (~(Y!0 = cell35))), introduced(assumption)).
% 2.48/2.53 tff(10512,assumption,((~(X!1 = cell46)) | (~(Y!0 = cell36))), introduced(assumption)).
% 2.48/2.53 tff(10513,assumption,((~(X!1 = cell47)) | (~(Y!0 = cell37))), introduced(assumption)).
% 2.48/2.53 tff(10514,assumption,((~(X!1 = cell48)) | (~(Y!0 = cell38))), introduced(assumption)).
% 2.48/2.53 tff(10515,assumption,((~(X!1 = cell49)) | (~(Y!0 = cell39))), introduced(assumption)).
% 2.48/2.53 tff(10516,assumption,((~(X!1 = cell50)) | (~(Y!0 = cell40))), introduced(assumption)).
% 2.48/2.53 tff(10517,assumption,((~(X!1 = cell51)) | (~(Y!0 = cell41))), introduced(assumption)).
% 2.48/2.53 tff(10518,assumption,((~(X!1 = cell52)) | (~(Y!0 = cell42))), introduced(assumption)).
% 2.48/2.53 tff(10519,assumption,((~(X!1 = cell53)) | (~(Y!0 = cell43))), introduced(assumption)).
% 2.48/2.53 tff(10520,assumption,((~(X!1 = cell54)) | (~(Y!0 = cell44))), introduced(assumption)).
% 2.48/2.53 tff(10521,assumption,((~(X!1 = cell55)) | (~(Y!0 = cell45))), introduced(assumption)).
% 2.48/2.53 tff(10522,assumption,((~(X!1 = cell56)) | (~(Y!0 = cell46))), introduced(assumption)).
% 2.48/2.53 tff(10523,assumption,((~(X!1 = cell57)) | (~(Y!0 = cell47))), introduced(assumption)).
% 2.48/2.53 tff(10524,assumption,((~(X!1 = cell58)) | (~(Y!0 = cell48))), introduced(assumption)).
% 2.48/2.53 tff(10525,assumption,((~(X!1 = cell59)) | (~(Y!0 = cell49))), introduced(assumption)).
% 2.48/2.53 tff(10526,assumption,((~(X!1 = cell60)) | (~(Y!0 = cell50))), introduced(assumption)).
% 2.48/2.53 tff(10527,assumption,((~(X!1 = cell61)) | (~(Y!0 = cell51))), introduced(assumption)).
% 2.48/2.53 tff(10528,assumption,((~(X!1 = cell62)) | (~(Y!0 = cell52))), introduced(assumption)).
% 2.48/2.53 tff(10529,assumption,((~(X!1 = cell63)) | (~(Y!0 = cell53))), introduced(assumption)).
% 2.48/2.53 tff(10530,assumption,((~(X!1 = cell64)) | (~(Y!0 = cell54))), introduced(assumption)).
% 2.48/2.53 tff(10531,assumption,((~(X!1 = cell65)) | (~(Y!0 = cell55))), introduced(assumption)).
% 2.48/2.53 tff(10532,assumption,((~(X!1 = cell66)) | (~(Y!0 = cell56))), introduced(assumption)).
% 2.48/2.53 tff(10533,assumption,((~(X!1 = cell67)) | (~(Y!0 = cell57))), introduced(assumption)).
% 2.48/2.53 tff(10534,assumption,((~(X!1 = cell68)) | (~(Y!0 = cell58))), introduced(assumption)).
% 2.48/2.53 tff(10535,assumption,((~(X!1 = cell70)) | (~(Y!0 = cell60))), introduced(assumption)).
% 2.48/2.53 tff(10536,assumption,((~(X!1 = cell71)) | (~(Y!0 = cell61))), introduced(assumption)).
% 2.48/2.53 tff(10537,assumption,((~(X!1 = cell72)) | (~(Y!0 = cell62))), introduced(assumption)).
% 2.48/2.53 tff(10538,assumption,((~(X!1 = cell73)) | (~(Y!0 = cell63))), introduced(assumption)).
% 2.48/2.53 tff(10539,assumption,((~(X!1 = cell74)) | (~(Y!0 = cell64))), introduced(assumption)).
% 2.48/2.53 tff(10540,assumption,((~(X!1 = cell75)) | (~(Y!0 = cell65))), introduced(assumption)).
% 2.48/2.53 tff(10541,assumption,((~(X!1 = cell76)) | (~(Y!0 = cell66))), introduced(assumption)).
% 2.48/2.53 tff(10542,assumption,((~(X!1 = cell77)) | (~(Y!0 = cell67))), introduced(assumption)).
% 2.48/2.53 tff(10543,assumption,((~(X!1 = cell79)) | (~(Y!0 = cell69))), introduced(assumption)).
% 2.48/2.53 tff(10544,assumption,((~(X!1 = cell81)) | (~(Y!0 = cell71))), introduced(assumption)).
% 2.48/2.53 tff(10545,assumption,((~(X!1 = cell82)) | (~(Y!0 = cell72))), introduced(assumption)).
% 2.48/2.53 tff(10546,assumption,((~(X!1 = cell83)) | (~(Y!0 = cell73))), introduced(assumption)).
% 2.48/2.53 tff(10547,assumption,((~(X!1 = cell84)) | (~(Y!0 = cell74))), introduced(assumption)).
% 2.48/2.53 tff(10548,assumption,((~(X!1 = cell85)) | (~(Y!0 = cell75))), introduced(assumption)).
% 2.48/2.53 tff(10549,assumption,((~(X!1 = cell86)) | (~(Y!0 = cell76))), introduced(assumption)).
% 2.48/2.53 tff(10550,assumption,((~(X!1 = cell94)) | (~(Y!0 = cell84))), introduced(assumption)).
% 2.48/2.53 tff(10551,assumption,((~(X!1 = cell98)) | (~(Y!0 = cell88))), introduced(assumption)).
% 2.48/2.53 tff(10552,assumption,((~(X!1 = cell90)) | (~(Y!0 = cell80))), introduced(assumption)).
% 2.48/2.53 tff(10553,assumption,((~(X!1 = cell93)) | (~(Y!0 = cell83))), introduced(assumption)).
% 2.48/2.53 tff(10554,assumption,((~(X!1 = cell92)) | (~(Y!0 = cell82))), introduced(assumption)).
% 2.48/2.53 tff(10555,assumption,((~(X!1 = cell22)) | (~(Y!0 = cell21))), introduced(assumption)).
% 2.48/2.53 tff(10556,plain,
% 2.48/2.53 (~((~(X!1 = cell100)) | (~(Y!0 = cell90)))),
% 2.48/2.53 inference(unit_resolution,[status(thm)],[10391, 9314, 10555, 9313, 10554, 10553, 10552, 10551, 9312, 10550, 10549, 10548, 10547, 10546, 10545, 10544, 9310, 10543, 9308, 10542, 10541, 10540, 10539, 10538, 10537, 10536, 10535, 9307, 10534, 10533, 10532, 10531, 10530, 10529, 10528, 10527, 10526, 10525, 10524, 10523, 10522, 10521, 10520, 10519, 10518, 10517, 10516, 10515, 10514, 10513, 10512, 10511, 10510, 10509, 10508, 10507, 10506, 10505, 10504, 10503, 10502, 10501, 10500, 10499, 10498, 10497, 10496, 10495, 10494, 10493, 10492, 10491, 10490, 10489, 10488, 10487, 10486, 10485, 10484, 10483, 10482, 10481, 10480, 10479, 10478, 10477, 10476, 10475, 10474, 10473, 10472, 9306, 9301, 10471, 10470, 10469, 10468, 10467, 10466, 10465, 10464, 9297, 10463, 10462, 10461, 10460, 10459, 10458, 10457, 9296, 10456, 10455, 10454, 10453, 10452, 10451, 10450, 10449, 10448, 10447, 10446, 10445, 10444, 10443, 10442, 10441, 10440, 10439, 10438, 10437, 10436, 10435, 10434, 10433, 10432, 10431, 10430, 10429, 10428, 10427, 10426, 10425, 10424, 10423, 10422, 10421, 10420, 10419, 10418, 10417, 10416, 10415, 10414, 10413, 10412, 10411, 10410, 10409, 10408, 10407, 10406, 10405, 10404, 10403, 10402, 10401, 10400, 10399])).
% 2.48/2.53 tff(10557,plain,
% 2.48/2.53 (X!1 = cell100),
% 2.48/2.53 inference(unit_resolution,[status(thm)],[9888, 10556])).
% 2.48/2.53 tff(10558,plain,
% 2.48/2.53 (cell100 = X!1),
% 2.48/2.53 inference(symmetry,[status(thm)],[10557])).
% 2.48/2.53 tff(10559,plain,
% 2.48/2.53 (cell100 = cell22),
% 2.48/2.53 inference(transitivity,[status(thm)],[10558, 10398])).
% 2.48/2.53 tff(10560,plain,
% 2.48/2.53 ($false),
% 2.48/2.53 inference(unit_resolution,[status(thm)],[6846, 10559])).
% 2.48/2.53 tff(10561,plain,((~((~((~(X!1 = cell100)) | (~(Y!0 = cell90)))) | (~((~(X!1 = cell99)) | (~(Y!0 = cell89)))) | (~((~(X!1 = cell98)) | (~(Y!0 = cell88)))) | (~((~(X!1 = cell97)) | (~(Y!0 = cell87)))) | (~((~(X!1 = cell96)) | (~(Y!0 = cell86)))) | (~((~(X!1 = cell95)) | (~(Y!0 = cell85)))) | (~((~(X!1 = cell94)) | (~(Y!0 = cell84)))) | (~((~(X!1 = cell93)) | (~(Y!0 = cell83)))) | (~((~(X!1 = cell92)) | (~(Y!0 = cell82)))) | (~((~(X!1 = cell91)) | (~(Y!0 = cell81)))) | (~((~(X!1 = cell90)) | (~(Y!0 = cell80)))) | (~((~(X!1 = cell89)) | (~(Y!0 = cell79)))) | (~((~(X!1 = cell88)) | (~(Y!0 = cell78)))) | (~((~(X!1 = cell87)) | (~(Y!0 = cell77)))) | (~((~(X!1 = cell86)) | (~(Y!0 = cell76)))) | (~((~(X!1 = cell85)) | (~(Y!0 = cell75)))) | (~((~(X!1 = cell84)) | (~(Y!0 = cell74)))) | (~((~(X!1 = cell83)) | (~(Y!0 = cell73)))) | (~((~(X!1 = cell82)) | (~(Y!0 = cell72)))) | (~((~(X!1 = cell81)) | (~(Y!0 = cell71)))) | (~((~(X!1 = cell80)) | (~(Y!0 = cell70)))) | (~((~(X!1 = cell79)) | (~(Y!0 = cell69)))) | (~((~(X!1 = cell78)) | (~(Y!0 = cell68)))) | (~((~(X!1 = cell77)) | (~(Y!0 = cell67)))) | (~((~(X!1 = cell76)) | (~(Y!0 = cell66)))) | (~((~(X!1 = cell75)) | (~(Y!0 = cell65)))) | (~((~(X!1 = cell74)) | (~(Y!0 = cell64)))) | (~((~(X!1 = cell73)) | (~(Y!0 = cell63)))) | (~((~(X!1 = cell72)) | (~(Y!0 = cell62)))) | (~((~(X!1 = cell71)) | (~(Y!0 = cell61)))) | (~((~(X!1 = cell70)) | (~(Y!0 = cell60)))) | (~((~(X!1 = cell69)) | (~(Y!0 = cell59)))) | (~((~(X!1 = cell68)) | (~(Y!0 = cell58)))) | (~((~(X!1 = cell67)) | (~(Y!0 = cell57)))) | (~((~(X!1 = cell66)) | (~(Y!0 = cell56)))) | (~((~(X!1 = cell65)) | (~(Y!0 = cell55)))) | (~((~(X!1 = cell64)) | (~(Y!0 = cell54)))) | (~((~(X!1 = cell63)) | (~(Y!0 = cell53)))) | (~((~(X!1 = cell62)) | (~(Y!0 = cell52)))) | (~((~(X!1 = cell61)) | (~(Y!0 = cell51)))) | (~((~(X!1 = cell60)) | (~(Y!0 = cell50)))) | (~((~(X!1 = cell59)) | (~(Y!0 = cell49)))) | (~((~(X!1 = cell58)) | (~(Y!0 = cell48)))) | (~((~(X!1 = cell57)) | (~(Y!0 = cell47)))) | (~((~(X!1 = cell56)) | (~(Y!0 = cell46)))) | (~((~(X!1 = cell55)) | (~(Y!0 = cell45)))) | (~((~(X!1 = cell54)) | (~(Y!0 = cell44)))) | (~((~(X!1 = cell53)) | (~(Y!0 = cell43)))) | (~((~(X!1 = cell52)) | (~(Y!0 = cell42)))) | (~((~(X!1 = cell51)) | (~(Y!0 = cell41)))) | (~((~(X!1 = cell50)) | (~(Y!0 = cell40)))) | (~((~(X!1 = cell49)) | (~(Y!0 = cell39)))) | (~((~(X!1 = cell48)) | (~(Y!0 = cell38)))) | (~((~(X!1 = cell47)) | (~(Y!0 = cell37)))) | (~((~(X!1 = cell46)) | (~(Y!0 = cell36)))) | (~((~(X!1 = cell45)) | (~(Y!0 = cell35)))) | (~((~(X!1 = cell44)) | (~(Y!0 = cell34)))) | (~((~(X!1 = cell43)) | (~(Y!0 = cell33)))) | (~((~(X!1 = cell42)) | (~(Y!0 = cell32)))) | (~((~(X!1 = cell41)) | (~(Y!0 = cell31)))) | (~((~(X!1 = cell40)) | (~(Y!0 = cell30)))) | (~((~(X!1 = cell39)) | (~(Y!0 = cell29)))) | (~((~(X!1 = cell38)) | (~(Y!0 = cell28)))) | (~((~(X!1 = cell37)) | (~(Y!0 = cell27)))) | (~((~(X!1 = cell36)) | (~(Y!0 = cell26)))) | (~((~(X!1 = cell35)) | (~(Y!0 = cell25)))) | (~((~(X!1 = cell34)) | (~(Y!0 = cell24)))) | (~((~(X!1 = cell33)) | (~(Y!0 = cell23)))) | (~((~(X!1 = cell32)) | (~(Y!0 = cell22)))) | (~((~(X!1 = cell31)) | (~(Y!0 = cell21)))) | (~((~(X!1 = cell30)) | (~(Y!0 = cell20)))) | (~((~(X!1 = cell29)) | (~(Y!0 = cell19)))) | (~((~(X!1 = cell28)) | (~(Y!0 = cell18)))) | (~((~(X!1 = cell27)) | (~(Y!0 = cell17)))) | (~((~(X!1 = cell26)) | (~(Y!0 = cell16)))) | (~((~(X!1 = cell25)) | (~(Y!0 = cell15)))) | (~((~(X!1 = cell24)) | (~(Y!0 = cell14)))) | (~((~(X!1 = cell23)) | (~(Y!0 = cell13)))) | (~((~(X!1 = cell22)) | (~(Y!0 = cell12)))) | (~((~(X!1 = cell21)) | (~(Y!0 = cell11)))) | (~((~(X!1 = cell20)) | (~(Y!0 = cell10)))) | (~((~(X!1 = cell19)) | (~(Y!0 = cell9)))) | (~((~(X!1 = cell18)) | (~(Y!0 = cell8)))) | (~((~(X!1 = cell17)) | (~(Y!0 = cell7)))) | (~((~(X!1 = cell16)) | (~(Y!0 = cell6)))) | (~((~(X!1 = cell15)) | (~(Y!0 = cell5)))) | (~((~(X!1 = cell14)) | (~(Y!0 = cell4)))) | (~((~(X!1 = cell13)) | (~(Y!0 = cell3)))) | (~((~(X!1 = 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% 2.48/2.57 inference(tautology,[status(thm)],[])).
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(~(cell90 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell90 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell90 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell90 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell90 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell90 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell90 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell90 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell90 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell90 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell90 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell90 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell90 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell90 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell90 = cell23)))) | (~((~(X!1 = cell21)) | (~(cell90 = cell22)))) | (~((~(X!1 = cell19)) | (~(cell90 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell90 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell90 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell90 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell90 = cell16)))) | (~((~(X!1 = 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% 2.48/2.57 inference(unit_resolution,[status(thm)],[10567, 10566, 1232])).
% 2.48/2.57 tff(10569,plain,
% 2.48/2.57 ((cell3 = cell90) <=> (cell90 = cell3)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8175])).
% 2.48/2.57 tff(10570,plain,
% 2.48/2.57 ((~(cell3 = cell90)) <=> (~(cell90 = cell3))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10569])).
% 2.48/2.57 tff(10571,plain,
% 2.48/2.57 (~(cell90 = cell3)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8182, 10570])).
% 2.48/2.57 tff(10572,plain,
% 2.48/2.57 (((~(X!1 = cell2)) | (~(cell90 = cell3))) | (cell90 = cell3)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10573,plain,
% 2.48/2.57 ((~(X!1 = cell2)) | (~(cell90 = cell3))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10572, 10571])).
% 2.48/2.57 tff(10574,plain,
% 2.48/2.57 ((cell4 = cell90) <=> (cell90 = cell4)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8186])).
% 2.48/2.57 tff(10575,plain,
% 2.48/2.57 ((~(cell4 = cell90)) <=> (~(cell90 = cell4))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10574])).
% 2.48/2.57 tff(10576,plain,
% 2.48/2.57 (~(cell90 = cell4)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8193, 10575])).
% 2.48/2.57 tff(10577,plain,
% 2.48/2.57 (((~(X!1 = cell3)) | (~(cell90 = cell4))) | (cell90 = cell4)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10578,plain,
% 2.48/2.57 ((~(X!1 = cell3)) | (~(cell90 = cell4))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10577, 10576])).
% 2.48/2.57 tff(10579,plain,
% 2.48/2.57 ((cell5 = cell90) <=> (cell90 = cell5)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8197])).
% 2.48/2.57 tff(10580,plain,
% 2.48/2.57 ((~(cell5 = cell90)) <=> (~(cell90 = cell5))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10579])).
% 2.48/2.57 tff(10581,plain,
% 2.48/2.57 (~(cell90 = cell5)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8204, 10580])).
% 2.48/2.57 tff(10582,plain,
% 2.48/2.57 (((~(X!1 = cell4)) | (~(cell90 = cell5))) | (cell90 = cell5)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10583,plain,
% 2.48/2.57 ((~(X!1 = cell4)) | (~(cell90 = cell5))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10582, 10581])).
% 2.48/2.57 tff(10584,plain,
% 2.48/2.57 ((cell6 = cell90) <=> (cell90 = cell6)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8208])).
% 2.48/2.57 tff(10585,plain,
% 2.48/2.57 ((~(cell6 = cell90)) <=> (~(cell90 = cell6))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10584])).
% 2.48/2.57 tff(10586,plain,
% 2.48/2.57 (~(cell90 = cell6)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8215, 10585])).
% 2.48/2.57 tff(10587,plain,
% 2.48/2.57 (((~(X!1 = cell5)) | (~(cell90 = cell6))) | (cell90 = cell6)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10588,plain,
% 2.48/2.57 ((~(X!1 = cell5)) | (~(cell90 = cell6))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10587, 10586])).
% 2.48/2.57 tff(10589,plain,
% 2.48/2.57 ((cell7 = cell90) <=> (cell90 = cell7)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8219])).
% 2.48/2.57 tff(10590,plain,
% 2.48/2.57 ((~(cell7 = cell90)) <=> (~(cell90 = cell7))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10589])).
% 2.48/2.57 tff(10591,plain,
% 2.48/2.57 (~(cell90 = cell7)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8226, 10590])).
% 2.48/2.57 tff(10592,plain,
% 2.48/2.57 (((~(X!1 = cell6)) | (~(cell90 = cell7))) | (cell90 = cell7)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10593,plain,
% 2.48/2.57 ((~(X!1 = cell6)) | (~(cell90 = cell7))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10592, 10591])).
% 2.48/2.57 tff(10594,plain,
% 2.48/2.57 ((cell8 = cell90) <=> (cell90 = cell8)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8230])).
% 2.48/2.57 tff(10595,plain,
% 2.48/2.57 ((~(cell8 = cell90)) <=> (~(cell90 = cell8))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10594])).
% 2.48/2.57 tff(10596,plain,
% 2.48/2.57 (~(cell90 = cell8)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8237, 10595])).
% 2.48/2.57 tff(10597,plain,
% 2.48/2.57 (((~(X!1 = cell7)) | (~(cell90 = cell8))) | (cell90 = cell8)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10598,plain,
% 2.48/2.57 ((~(X!1 = cell7)) | (~(cell90 = cell8))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10597, 10596])).
% 2.48/2.57 tff(10599,plain,
% 2.48/2.57 ((cell9 = cell90) <=> (cell90 = cell9)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8241])).
% 2.48/2.57 tff(10600,plain,
% 2.48/2.57 ((~(cell9 = cell90)) <=> (~(cell90 = cell9))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10599])).
% 2.48/2.57 tff(10601,plain,
% 2.48/2.57 (~(cell90 = cell9)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8248, 10600])).
% 2.48/2.57 tff(10602,plain,
% 2.48/2.57 (((~(X!1 = cell8)) | (~(cell90 = cell9))) | (cell90 = cell9)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10603,plain,
% 2.48/2.57 ((~(X!1 = cell8)) | (~(cell90 = cell9))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10602, 10601])).
% 2.48/2.57 tff(10604,plain,
% 2.48/2.57 ((cell10 = cell90) <=> (cell90 = cell10)),
% 2.48/2.57 inference(symmetry,[status(thm)],[9052])).
% 2.48/2.57 tff(10605,plain,
% 2.48/2.57 ((~(cell10 = cell90)) <=> (~(cell90 = cell10))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10604])).
% 2.48/2.57 tff(10606,plain,
% 2.48/2.57 (~(cell90 = cell10)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[9059, 10605])).
% 2.48/2.57 tff(10607,plain,
% 2.48/2.57 (((~(X!1 = cell9)) | (~(cell90 = cell10))) | (cell90 = cell10)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10608,plain,
% 2.48/2.57 ((~(X!1 = cell9)) | (~(cell90 = cell10))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10607, 10606])).
% 2.48/2.57 tff(10609,plain,
% 2.48/2.57 ((cell15 = cell90) <=> (cell90 = cell15)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8276])).
% 2.48/2.57 tff(10610,plain,
% 2.48/2.57 ((~(cell15 = cell90)) <=> (~(cell90 = cell15))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10609])).
% 2.48/2.57 tff(10611,plain,
% 2.48/2.57 (~(cell90 = cell15)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8283, 10610])).
% 2.48/2.57 tff(10612,plain,
% 2.48/2.57 (((~(X!1 = cell14)) | (~(cell90 = cell15))) | (cell90 = cell15)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10613,plain,
% 2.48/2.57 ((~(X!1 = cell14)) | (~(cell90 = cell15))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10612, 10611])).
% 2.48/2.57 tff(10614,plain,
% 2.48/2.57 ((cell16 = cell90) <=> (cell90 = cell16)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8287])).
% 2.48/2.57 tff(10615,plain,
% 2.48/2.57 ((~(cell16 = cell90)) <=> (~(cell90 = cell16))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10614])).
% 2.48/2.57 tff(10616,plain,
% 2.48/2.57 (~(cell90 = cell16)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8294, 10615])).
% 2.48/2.57 tff(10617,plain,
% 2.48/2.57 (((~(X!1 = cell15)) | (~(cell90 = cell16))) | (cell90 = cell16)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10618,plain,
% 2.48/2.57 ((~(X!1 = cell15)) | (~(cell90 = cell16))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10617, 10616])).
% 2.48/2.57 tff(10619,plain,
% 2.48/2.57 ((cell17 = cell90) <=> (cell90 = cell17)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8298])).
% 2.48/2.57 tff(10620,plain,
% 2.48/2.57 ((~(cell17 = cell90)) <=> (~(cell90 = cell17))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10619])).
% 2.48/2.57 tff(10621,plain,
% 2.48/2.57 (~(cell90 = cell17)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8305, 10620])).
% 2.48/2.57 tff(10622,plain,
% 2.48/2.57 (((~(X!1 = cell16)) | (~(cell90 = cell17))) | (cell90 = cell17)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10623,plain,
% 2.48/2.57 ((~(X!1 = cell16)) | (~(cell90 = cell17))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10622, 10621])).
% 2.48/2.57 tff(10624,plain,
% 2.48/2.57 ((cell18 = cell90) <=> (cell90 = cell18)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8309])).
% 2.48/2.57 tff(10625,plain,
% 2.48/2.57 ((~(cell18 = cell90)) <=> (~(cell90 = cell18))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10624])).
% 2.48/2.57 tff(10626,plain,
% 2.48/2.57 (~(cell90 = cell18)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8316, 10625])).
% 2.48/2.57 tff(10627,plain,
% 2.48/2.57 (((~(X!1 = cell17)) | (~(cell90 = cell18))) | (cell90 = cell18)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10628,plain,
% 2.48/2.57 ((~(X!1 = cell17)) | (~(cell90 = cell18))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10627, 10626])).
% 2.48/2.57 tff(10629,plain,
% 2.48/2.57 ((cell19 = cell90) <=> (cell90 = cell19)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8320])).
% 2.48/2.57 tff(10630,plain,
% 2.48/2.57 ((~(cell19 = cell90)) <=> (~(cell90 = cell19))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10629])).
% 2.48/2.57 tff(10631,plain,
% 2.48/2.57 (~(cell90 = cell19)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8327, 10630])).
% 2.48/2.57 tff(10632,plain,
% 2.48/2.57 (((~(X!1 = cell18)) | (~(cell90 = cell19))) | (cell90 = cell19)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10633,plain,
% 2.48/2.57 ((~(X!1 = cell18)) | (~(cell90 = cell19))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10632, 10631])).
% 2.48/2.57 tff(10634,plain,
% 2.48/2.57 ((cell20 = cell90) <=> (cell90 = cell20)),
% 2.48/2.57 inference(symmetry,[status(thm)],[9099])).
% 2.48/2.57 tff(10635,plain,
% 2.48/2.57 ((~(cell20 = cell90)) <=> (~(cell90 = cell20))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10634])).
% 2.48/2.57 tff(10636,plain,
% 2.48/2.57 (~(cell90 = cell20)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[9106, 10635])).
% 2.48/2.57 tff(10637,plain,
% 2.48/2.57 (((~(X!1 = cell19)) | (~(cell90 = cell20))) | (cell90 = cell20)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10638,plain,
% 2.48/2.57 ((~(X!1 = cell19)) | (~(cell90 = cell20))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10637, 10636])).
% 2.48/2.57 tff(10639,plain,
% 2.48/2.57 ((cell23 = cell90) <=> (cell90 = cell23)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8342])).
% 2.48/2.57 tff(10640,plain,
% 2.48/2.57 ((~(cell23 = cell90)) <=> (~(cell90 = cell23))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10639])).
% 2.48/2.57 tff(10641,plain,
% 2.48/2.57 (~(cell90 = cell23)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8349, 10640])).
% 2.48/2.57 tff(10642,plain,
% 2.48/2.57 (((~(X!1 = cell22)) | (~(cell90 = cell23))) | (cell90 = cell23)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10643,plain,
% 2.48/2.57 ((~(X!1 = cell22)) | (~(cell90 = cell23))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10642, 10641])).
% 2.48/2.57 tff(10644,plain,
% 2.48/2.57 ((cell24 = cell90) <=> (cell90 = cell24)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8353])).
% 2.48/2.57 tff(10645,plain,
% 2.48/2.57 ((~(cell24 = cell90)) <=> (~(cell90 = cell24))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10644])).
% 2.48/2.57 tff(10646,plain,
% 2.48/2.57 (~(cell90 = cell24)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8360, 10645])).
% 2.48/2.57 tff(10647,plain,
% 2.48/2.57 (((~(X!1 = cell23)) | (~(cell90 = cell24))) | (cell90 = cell24)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10648,plain,
% 2.48/2.57 ((~(X!1 = cell23)) | (~(cell90 = cell24))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10647, 10646])).
% 2.48/2.57 tff(10649,plain,
% 2.48/2.57 ((cell25 = cell90) <=> (cell90 = cell25)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8364])).
% 2.48/2.57 tff(10650,plain,
% 2.48/2.57 ((~(cell25 = cell90)) <=> (~(cell90 = cell25))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10649])).
% 2.48/2.57 tff(10651,plain,
% 2.48/2.57 (~(cell90 = cell25)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8371, 10650])).
% 2.48/2.57 tff(10652,plain,
% 2.48/2.57 (((~(X!1 = cell24)) | (~(cell90 = cell25))) | (cell90 = cell25)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10653,plain,
% 2.48/2.57 ((~(X!1 = cell24)) | (~(cell90 = cell25))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10652, 10651])).
% 2.48/2.57 tff(10654,plain,
% 2.48/2.57 ((cell26 = cell90) <=> (cell90 = cell26)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8375])).
% 2.48/2.57 tff(10655,plain,
% 2.48/2.57 ((~(cell26 = cell90)) <=> (~(cell90 = cell26))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10654])).
% 2.48/2.57 tff(10656,plain,
% 2.48/2.57 (~(cell90 = cell26)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8382, 10655])).
% 2.48/2.57 tff(10657,plain,
% 2.48/2.57 (((~(X!1 = cell25)) | (~(cell90 = cell26))) | (cell90 = cell26)),
% 2.48/2.57 inference(tautology,[status(thm)],[])).
% 2.48/2.57 tff(10658,plain,
% 2.48/2.57 ((~(X!1 = cell25)) | (~(cell90 = cell26))),
% 2.48/2.57 inference(unit_resolution,[status(thm)],[10657, 10656])).
% 2.48/2.57 tff(10659,plain,
% 2.48/2.57 ((cell27 = cell90) <=> (cell90 = cell27)),
% 2.48/2.57 inference(symmetry,[status(thm)],[8386])).
% 2.48/2.57 tff(10660,plain,
% 2.48/2.57 ((~(cell27 = cell90)) <=> (~(cell90 = cell27))),
% 2.48/2.57 inference(monotonicity,[status(thm)],[10659])).
% 2.48/2.57 tff(10661,plain,
% 2.48/2.57 (~(cell90 = cell27)),
% 2.48/2.57 inference(modus_ponens,[status(thm)],[8393, 10660])).
% 2.48/2.57 tff(10662,plain,
% 2.48/2.57 (((~(X!1 = cell26)) | (~(cell90 = cell27))) | (cell90 = cell27)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10663,plain,
% 2.48/2.58 ((~(X!1 = cell26)) | (~(cell90 = cell27))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10662, 10661])).
% 2.48/2.58 tff(10664,plain,
% 2.48/2.58 ((cell28 = cell90) <=> (cell90 = cell28)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8397])).
% 2.48/2.58 tff(10665,plain,
% 2.48/2.58 ((~(cell28 = cell90)) <=> (~(cell90 = cell28))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10664])).
% 2.48/2.58 tff(10666,plain,
% 2.48/2.58 (~(cell90 = cell28)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8404, 10665])).
% 2.48/2.58 tff(10667,plain,
% 2.48/2.58 (((~(X!1 = cell27)) | (~(cell90 = cell28))) | (cell90 = cell28)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10668,plain,
% 2.48/2.58 ((~(X!1 = cell27)) | (~(cell90 = cell28))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10667, 10666])).
% 2.48/2.58 tff(10669,plain,
% 2.48/2.58 ((cell29 = cell90) <=> (cell90 = cell29)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8408])).
% 2.48/2.58 tff(10670,plain,
% 2.48/2.58 ((~(cell29 = cell90)) <=> (~(cell90 = cell29))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10669])).
% 2.48/2.58 tff(10671,plain,
% 2.48/2.58 (~(cell90 = cell29)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8415, 10670])).
% 2.48/2.58 tff(10672,plain,
% 2.48/2.58 (((~(X!1 = cell28)) | (~(cell90 = cell29))) | (cell90 = cell29)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10673,plain,
% 2.48/2.58 ((~(X!1 = cell28)) | (~(cell90 = cell29))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10672, 10671])).
% 2.48/2.58 tff(10674,plain,
% 2.48/2.58 ((cell30 = cell90) <=> (cell90 = cell30)),
% 2.48/2.58 inference(symmetry,[status(thm)],[9135])).
% 2.48/2.58 tff(10675,plain,
% 2.48/2.58 ((~(cell30 = cell90)) <=> (~(cell90 = cell30))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10674])).
% 2.48/2.58 tff(10676,plain,
% 2.48/2.58 (~(cell90 = cell30)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9142, 10675])).
% 2.48/2.58 tff(10677,plain,
% 2.48/2.58 (((~(X!1 = cell29)) | (~(cell90 = cell30))) | (cell90 = cell30)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10678,plain,
% 2.48/2.58 ((~(X!1 = cell29)) | (~(cell90 = cell30))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10677, 10676])).
% 2.48/2.58 tff(10679,plain,
% 2.48/2.58 ((cell32 = cell90) <=> (cell90 = cell32)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8430])).
% 2.48/2.58 tff(10680,plain,
% 2.48/2.58 ((~(cell32 = cell90)) <=> (~(cell90 = cell32))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10679])).
% 2.48/2.58 tff(10681,plain,
% 2.48/2.58 (~(cell90 = cell32)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8437, 10680])).
% 2.48/2.58 tff(10682,plain,
% 2.48/2.58 (((~(X!1 = cell31)) | (~(cell90 = cell32))) | (cell90 = cell32)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10683,plain,
% 2.48/2.58 ((~(X!1 = cell31)) | (~(cell90 = cell32))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10682, 10681])).
% 2.48/2.58 tff(10684,plain,
% 2.48/2.58 ((cell33 = cell90) <=> (cell90 = cell33)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8441])).
% 2.48/2.58 tff(10685,plain,
% 2.48/2.58 ((~(cell33 = cell90)) <=> (~(cell90 = cell33))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10684])).
% 2.48/2.58 tff(10686,plain,
% 2.48/2.58 (~(cell90 = cell33)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8448, 10685])).
% 2.48/2.58 tff(10687,plain,
% 2.48/2.58 (((~(X!1 = cell32)) | (~(cell90 = cell33))) | (cell90 = cell33)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10688,plain,
% 2.48/2.58 ((~(X!1 = cell32)) | (~(cell90 = cell33))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10687, 10686])).
% 2.48/2.58 tff(10689,plain,
% 2.48/2.58 ((cell34 = cell90) <=> (cell90 = cell34)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8452])).
% 2.48/2.58 tff(10690,plain,
% 2.48/2.58 ((~(cell34 = cell90)) <=> (~(cell90 = cell34))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10689])).
% 2.48/2.58 tff(10691,plain,
% 2.48/2.58 (~(cell90 = cell34)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8459, 10690])).
% 2.48/2.58 tff(10692,plain,
% 2.48/2.58 (((~(X!1 = cell33)) | (~(cell90 = cell34))) | (cell90 = cell34)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10693,plain,
% 2.48/2.58 ((~(X!1 = cell33)) | (~(cell90 = cell34))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10692, 10691])).
% 2.48/2.58 tff(10694,plain,
% 2.48/2.58 ((cell35 = cell90) <=> (cell90 = cell35)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8463])).
% 2.48/2.58 tff(10695,plain,
% 2.48/2.58 ((~(cell35 = cell90)) <=> (~(cell90 = cell35))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10694])).
% 2.48/2.58 tff(10696,plain,
% 2.48/2.58 (~(cell90 = cell35)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8470, 10695])).
% 2.48/2.58 tff(10697,plain,
% 2.48/2.58 (((~(X!1 = cell34)) | (~(cell90 = cell35))) | (cell90 = cell35)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10698,plain,
% 2.48/2.58 ((~(X!1 = cell34)) | (~(cell90 = cell35))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10697, 10696])).
% 2.48/2.58 tff(10699,plain,
% 2.48/2.58 ((cell36 = cell90) <=> (cell90 = cell36)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8474])).
% 2.48/2.58 tff(10700,plain,
% 2.48/2.58 ((~(cell36 = cell90)) <=> (~(cell90 = cell36))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10699])).
% 2.48/2.58 tff(10701,plain,
% 2.48/2.58 (~(cell90 = cell36)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8481, 10700])).
% 2.48/2.58 tff(10702,plain,
% 2.48/2.58 (((~(X!1 = cell35)) | (~(cell90 = cell36))) | (cell90 = cell36)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10703,plain,
% 2.48/2.58 ((~(X!1 = cell35)) | (~(cell90 = cell36))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10702, 10701])).
% 2.48/2.58 tff(10704,plain,
% 2.48/2.58 ((cell37 = cell90) <=> (cell90 = cell37)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8485])).
% 2.48/2.58 tff(10705,plain,
% 2.48/2.58 ((~(cell37 = cell90)) <=> (~(cell90 = cell37))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10704])).
% 2.48/2.58 tff(10706,plain,
% 2.48/2.58 (~(cell90 = cell37)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8492, 10705])).
% 2.48/2.58 tff(10707,plain,
% 2.48/2.58 (((~(X!1 = cell36)) | (~(cell90 = cell37))) | (cell90 = cell37)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10708,plain,
% 2.48/2.58 ((~(X!1 = cell36)) | (~(cell90 = cell37))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10707, 10706])).
% 2.48/2.58 tff(10709,plain,
% 2.48/2.58 ((cell38 = cell90) <=> (cell90 = cell38)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8496])).
% 2.48/2.58 tff(10710,plain,
% 2.48/2.58 ((~(cell38 = cell90)) <=> (~(cell90 = cell38))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10709])).
% 2.48/2.58 tff(10711,plain,
% 2.48/2.58 (~(cell90 = cell38)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8503, 10710])).
% 2.48/2.58 tff(10712,plain,
% 2.48/2.58 (((~(X!1 = cell37)) | (~(cell90 = cell38))) | (cell90 = cell38)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10713,plain,
% 2.48/2.58 ((~(X!1 = cell37)) | (~(cell90 = cell38))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10712, 10711])).
% 2.48/2.58 tff(10714,plain,
% 2.48/2.58 ((cell39 = cell90) <=> (cell90 = cell39)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8507])).
% 2.48/2.58 tff(10715,plain,
% 2.48/2.58 ((~(cell39 = cell90)) <=> (~(cell90 = cell39))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10714])).
% 2.48/2.58 tff(10716,plain,
% 2.48/2.58 (~(cell90 = cell39)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8514, 10715])).
% 2.48/2.58 tff(10717,plain,
% 2.48/2.58 (((~(X!1 = cell38)) | (~(cell90 = cell39))) | (cell90 = cell39)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10718,plain,
% 2.48/2.58 ((~(X!1 = cell38)) | (~(cell90 = cell39))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10717, 10716])).
% 2.48/2.58 tff(10719,plain,
% 2.48/2.58 ((cell40 = cell90) <=> (cell90 = cell40)),
% 2.48/2.58 inference(symmetry,[status(thm)],[9164])).
% 2.48/2.58 tff(10720,plain,
% 2.48/2.58 ((~(cell40 = cell90)) <=> (~(cell90 = cell40))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10719])).
% 2.48/2.58 tff(10721,plain,
% 2.48/2.58 (~(cell90 = cell40)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9171, 10720])).
% 2.48/2.58 tff(10722,plain,
% 2.48/2.58 (((~(X!1 = cell39)) | (~(cell90 = cell40))) | (cell90 = cell40)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10723,plain,
% 2.48/2.58 ((~(X!1 = cell39)) | (~(cell90 = cell40))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10722, 10721])).
% 2.48/2.58 tff(10724,plain,
% 2.48/2.58 ((cell42 = cell90) <=> (cell90 = cell42)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8529])).
% 2.48/2.58 tff(10725,plain,
% 2.48/2.58 ((~(cell42 = cell90)) <=> (~(cell90 = cell42))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10724])).
% 2.48/2.58 tff(10726,plain,
% 2.48/2.58 (~(cell90 = cell42)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8536, 10725])).
% 2.48/2.58 tff(10727,plain,
% 2.48/2.58 (((~(X!1 = cell41)) | (~(cell90 = cell42))) | (cell90 = cell42)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10728,plain,
% 2.48/2.58 ((~(X!1 = cell41)) | (~(cell90 = cell42))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10727, 10726])).
% 2.48/2.58 tff(10729,plain,
% 2.48/2.58 ((cell43 = cell90) <=> (cell90 = cell43)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8540])).
% 2.48/2.58 tff(10730,plain,
% 2.48/2.58 ((~(cell43 = cell90)) <=> (~(cell90 = cell43))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10729])).
% 2.48/2.58 tff(10731,plain,
% 2.48/2.58 (~(cell90 = cell43)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8547, 10730])).
% 2.48/2.58 tff(10732,plain,
% 2.48/2.58 (((~(X!1 = cell42)) | (~(cell90 = cell43))) | (cell90 = cell43)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10733,plain,
% 2.48/2.58 ((~(X!1 = cell42)) | (~(cell90 = cell43))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10732, 10731])).
% 2.48/2.58 tff(10734,plain,
% 2.48/2.58 ((cell44 = cell90) <=> (cell90 = cell44)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8551])).
% 2.48/2.58 tff(10735,plain,
% 2.48/2.58 ((~(cell44 = cell90)) <=> (~(cell90 = cell44))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10734])).
% 2.48/2.58 tff(10736,plain,
% 2.48/2.58 (~(cell90 = cell44)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8558, 10735])).
% 2.48/2.58 tff(10737,plain,
% 2.48/2.58 (((~(X!1 = cell43)) | (~(cell90 = cell44))) | (cell90 = cell44)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10738,plain,
% 2.48/2.58 ((~(X!1 = cell43)) | (~(cell90 = cell44))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10737, 10736])).
% 2.48/2.58 tff(10739,plain,
% 2.48/2.58 ((cell45 = cell90) <=> (cell90 = cell45)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8562])).
% 2.48/2.58 tff(10740,plain,
% 2.48/2.58 ((~(cell45 = cell90)) <=> (~(cell90 = cell45))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10739])).
% 2.48/2.58 tff(10741,plain,
% 2.48/2.58 (~(cell90 = cell45)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8569, 10740])).
% 2.48/2.58 tff(10742,plain,
% 2.48/2.58 (((~(X!1 = cell44)) | (~(cell90 = cell45))) | (cell90 = cell45)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10743,plain,
% 2.48/2.58 ((~(X!1 = cell44)) | (~(cell90 = cell45))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10742, 10741])).
% 2.48/2.58 tff(10744,plain,
% 2.48/2.58 ((cell46 = cell90) <=> (cell90 = cell46)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8573])).
% 2.48/2.58 tff(10745,plain,
% 2.48/2.58 ((~(cell46 = cell90)) <=> (~(cell90 = cell46))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10744])).
% 2.48/2.58 tff(10746,plain,
% 2.48/2.58 (~(cell90 = cell46)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8580, 10745])).
% 2.48/2.58 tff(10747,plain,
% 2.48/2.58 (((~(X!1 = cell45)) | (~(cell90 = cell46))) | (cell90 = cell46)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10748,plain,
% 2.48/2.58 ((~(X!1 = cell45)) | (~(cell90 = cell46))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10747, 10746])).
% 2.48/2.58 tff(10749,plain,
% 2.48/2.58 ((cell47 = cell90) <=> (cell90 = cell47)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8584])).
% 2.48/2.58 tff(10750,plain,
% 2.48/2.58 ((~(cell47 = cell90)) <=> (~(cell90 = cell47))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10749])).
% 2.48/2.58 tff(10751,plain,
% 2.48/2.58 (~(cell90 = cell47)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8591, 10750])).
% 2.48/2.58 tff(10752,plain,
% 2.48/2.58 (((~(X!1 = cell46)) | (~(cell90 = cell47))) | (cell90 = cell47)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10753,plain,
% 2.48/2.58 ((~(X!1 = cell46)) | (~(cell90 = cell47))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10752, 10751])).
% 2.48/2.58 tff(10754,plain,
% 2.48/2.58 ((cell48 = cell90) <=> (cell90 = cell48)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8595])).
% 2.48/2.58 tff(10755,plain,
% 2.48/2.58 ((~(cell48 = cell90)) <=> (~(cell90 = cell48))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10754])).
% 2.48/2.58 tff(10756,plain,
% 2.48/2.58 (~(cell90 = cell48)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8602, 10755])).
% 2.48/2.58 tff(10757,plain,
% 2.48/2.58 (((~(X!1 = cell47)) | (~(cell90 = cell48))) | (cell90 = cell48)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10758,plain,
% 2.48/2.58 ((~(X!1 = cell47)) | (~(cell90 = cell48))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10757, 10756])).
% 2.48/2.58 tff(10759,plain,
% 2.48/2.58 ((cell49 = cell90) <=> (cell90 = cell49)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8606])).
% 2.48/2.58 tff(10760,plain,
% 2.48/2.58 ((~(cell49 = cell90)) <=> (~(cell90 = cell49))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10759])).
% 2.48/2.58 tff(10761,plain,
% 2.48/2.58 (~(cell90 = cell49)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8613, 10760])).
% 2.48/2.58 tff(10762,plain,
% 2.48/2.58 (((~(X!1 = cell48)) | (~(cell90 = cell49))) | (cell90 = cell49)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10763,plain,
% 2.48/2.58 ((~(X!1 = cell48)) | (~(cell90 = cell49))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10762, 10761])).
% 2.48/2.58 tff(10764,plain,
% 2.48/2.58 ((cell50 = cell90) <=> (cell90 = cell50)),
% 2.48/2.58 inference(symmetry,[status(thm)],[9193])).
% 2.48/2.58 tff(10765,plain,
% 2.48/2.58 ((~(cell50 = cell90)) <=> (~(cell90 = cell50))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10764])).
% 2.48/2.58 tff(10766,plain,
% 2.48/2.58 (~(cell90 = cell50)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9200, 10765])).
% 2.48/2.58 tff(10767,plain,
% 2.48/2.58 (((~(X!1 = cell49)) | (~(cell90 = cell50))) | (cell90 = cell50)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10768,plain,
% 2.48/2.58 ((~(X!1 = cell49)) | (~(cell90 = cell50))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10767, 10766])).
% 2.48/2.58 tff(10769,plain,
% 2.48/2.58 ((cell52 = cell90) <=> (cell90 = cell52)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8628])).
% 2.48/2.58 tff(10770,plain,
% 2.48/2.58 ((~(cell52 = cell90)) <=> (~(cell90 = cell52))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10769])).
% 2.48/2.58 tff(10771,plain,
% 2.48/2.58 (~(cell90 = cell52)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8635, 10770])).
% 2.48/2.58 tff(10772,plain,
% 2.48/2.58 (((~(X!1 = cell51)) | (~(cell90 = cell52))) | (cell90 = cell52)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10773,plain,
% 2.48/2.58 ((~(X!1 = cell51)) | (~(cell90 = cell52))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10772, 10771])).
% 2.48/2.58 tff(10774,plain,
% 2.48/2.58 ((cell53 = cell90) <=> (cell90 = cell53)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8639])).
% 2.48/2.58 tff(10775,plain,
% 2.48/2.58 ((~(cell53 = cell90)) <=> (~(cell90 = cell53))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10774])).
% 2.48/2.58 tff(10776,plain,
% 2.48/2.58 (~(cell90 = cell53)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8646, 10775])).
% 2.48/2.58 tff(10777,plain,
% 2.48/2.58 (((~(X!1 = cell52)) | (~(cell90 = cell53))) | (cell90 = cell53)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10778,plain,
% 2.48/2.58 ((~(X!1 = cell52)) | (~(cell90 = cell53))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10777, 10776])).
% 2.48/2.58 tff(10779,plain,
% 2.48/2.58 ((cell54 = cell90) <=> (cell90 = cell54)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8650])).
% 2.48/2.58 tff(10780,plain,
% 2.48/2.58 ((~(cell54 = cell90)) <=> (~(cell90 = cell54))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10779])).
% 2.48/2.58 tff(10781,plain,
% 2.48/2.58 (~(cell90 = cell54)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8657, 10780])).
% 2.48/2.58 tff(10782,plain,
% 2.48/2.58 (((~(X!1 = cell53)) | (~(cell90 = cell54))) | (cell90 = cell54)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10783,plain,
% 2.48/2.58 ((~(X!1 = cell53)) | (~(cell90 = cell54))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10782, 10781])).
% 2.48/2.58 tff(10784,plain,
% 2.48/2.58 ((cell55 = cell90) <=> (cell90 = cell55)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8661])).
% 2.48/2.58 tff(10785,plain,
% 2.48/2.58 ((~(cell55 = cell90)) <=> (~(cell90 = cell55))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10784])).
% 2.48/2.58 tff(10786,plain,
% 2.48/2.58 (~(cell90 = cell55)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8668, 10785])).
% 2.48/2.58 tff(10787,plain,
% 2.48/2.58 (((~(X!1 = cell54)) | (~(cell90 = cell55))) | (cell90 = cell55)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10788,plain,
% 2.48/2.58 ((~(X!1 = cell54)) | (~(cell90 = cell55))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10787, 10786])).
% 2.48/2.58 tff(10789,plain,
% 2.48/2.58 ((cell56 = cell90) <=> (cell90 = cell56)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8672])).
% 2.48/2.58 tff(10790,plain,
% 2.48/2.58 ((~(cell56 = cell90)) <=> (~(cell90 = cell56))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10789])).
% 2.48/2.58 tff(10791,plain,
% 2.48/2.58 (~(cell90 = cell56)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8679, 10790])).
% 2.48/2.58 tff(10792,plain,
% 2.48/2.58 (((~(X!1 = cell55)) | (~(cell90 = cell56))) | (cell90 = cell56)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10793,plain,
% 2.48/2.58 ((~(X!1 = cell55)) | (~(cell90 = cell56))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10792, 10791])).
% 2.48/2.58 tff(10794,plain,
% 2.48/2.58 ((cell57 = cell90) <=> (cell90 = cell57)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8683])).
% 2.48/2.58 tff(10795,plain,
% 2.48/2.58 ((~(cell57 = cell90)) <=> (~(cell90 = cell57))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10794])).
% 2.48/2.58 tff(10796,plain,
% 2.48/2.58 (~(cell90 = cell57)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8690, 10795])).
% 2.48/2.58 tff(10797,plain,
% 2.48/2.58 (((~(X!1 = cell56)) | (~(cell90 = cell57))) | (cell90 = cell57)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10798,plain,
% 2.48/2.58 ((~(X!1 = cell56)) | (~(cell90 = cell57))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10797, 10796])).
% 2.48/2.58 tff(10799,plain,
% 2.48/2.58 ((cell58 = cell90) <=> (cell90 = cell58)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8694])).
% 2.48/2.58 tff(10800,plain,
% 2.48/2.58 ((~(cell58 = cell90)) <=> (~(cell90 = cell58))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10799])).
% 2.48/2.58 tff(10801,plain,
% 2.48/2.58 (~(cell90 = cell58)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8701, 10800])).
% 2.48/2.58 tff(10802,plain,
% 2.48/2.58 (((~(X!1 = cell57)) | (~(cell90 = cell58))) | (cell90 = cell58)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10803,plain,
% 2.48/2.58 ((~(X!1 = cell57)) | (~(cell90 = cell58))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10802, 10801])).
% 2.48/2.58 tff(10804,plain,
% 2.48/2.58 ((cell59 = cell90) <=> (cell90 = cell59)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8705])).
% 2.48/2.58 tff(10805,plain,
% 2.48/2.58 ((~(cell59 = cell90)) <=> (~(cell90 = cell59))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10804])).
% 2.48/2.58 tff(10806,plain,
% 2.48/2.58 (~(cell90 = cell59)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8712, 10805])).
% 2.48/2.58 tff(10807,plain,
% 2.48/2.58 (((~(X!1 = cell58)) | (~(cell90 = cell59))) | (cell90 = cell59)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10808,plain,
% 2.48/2.58 ((~(X!1 = cell58)) | (~(cell90 = cell59))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10807, 10806])).
% 2.48/2.58 tff(10809,plain,
% 2.48/2.58 ((cell60 = cell90) <=> (cell90 = cell60)),
% 2.48/2.58 inference(symmetry,[status(thm)],[9222])).
% 2.48/2.58 tff(10810,plain,
% 2.48/2.58 ((~(cell60 = cell90)) <=> (~(cell90 = cell60))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10809])).
% 2.48/2.58 tff(10811,plain,
% 2.48/2.58 (~(cell90 = cell60)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9229, 10810])).
% 2.48/2.58 tff(10812,plain,
% 2.48/2.58 (((~(X!1 = cell59)) | (~(cell90 = cell60))) | (cell90 = cell60)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10813,plain,
% 2.48/2.58 ((~(X!1 = cell59)) | (~(cell90 = cell60))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10812, 10811])).
% 2.48/2.58 tff(10814,plain,
% 2.48/2.58 ((cell62 = cell90) <=> (cell90 = cell62)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8727])).
% 2.48/2.58 tff(10815,plain,
% 2.48/2.58 ((~(cell62 = cell90)) <=> (~(cell90 = cell62))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10814])).
% 2.48/2.58 tff(10816,plain,
% 2.48/2.58 (~(cell90 = cell62)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8734, 10815])).
% 2.48/2.58 tff(10817,plain,
% 2.48/2.58 (((~(X!1 = cell61)) | (~(cell90 = cell62))) | (cell90 = cell62)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10818,plain,
% 2.48/2.58 ((~(X!1 = cell61)) | (~(cell90 = cell62))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10817, 10816])).
% 2.48/2.58 tff(10819,plain,
% 2.48/2.58 ((cell63 = cell90) <=> (cell90 = cell63)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8738])).
% 2.48/2.58 tff(10820,plain,
% 2.48/2.58 ((~(cell63 = cell90)) <=> (~(cell90 = cell63))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10819])).
% 2.48/2.58 tff(10821,plain,
% 2.48/2.58 (~(cell90 = cell63)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8745, 10820])).
% 2.48/2.58 tff(10822,plain,
% 2.48/2.58 (((~(X!1 = cell62)) | (~(cell90 = cell63))) | (cell90 = cell63)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10823,plain,
% 2.48/2.58 ((~(X!1 = cell62)) | (~(cell90 = cell63))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10822, 10821])).
% 2.48/2.58 tff(10824,plain,
% 2.48/2.58 ((cell64 = cell90) <=> (cell90 = cell64)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8749])).
% 2.48/2.58 tff(10825,plain,
% 2.48/2.58 ((~(cell64 = cell90)) <=> (~(cell90 = cell64))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10824])).
% 2.48/2.58 tff(10826,plain,
% 2.48/2.58 (~(cell90 = cell64)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8756, 10825])).
% 2.48/2.58 tff(10827,plain,
% 2.48/2.58 (((~(X!1 = cell63)) | (~(cell90 = cell64))) | (cell90 = cell64)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10828,plain,
% 2.48/2.58 ((~(X!1 = cell63)) | (~(cell90 = cell64))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10827, 10826])).
% 2.48/2.58 tff(10829,plain,
% 2.48/2.58 ((cell65 = cell90) <=> (cell90 = cell65)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8760])).
% 2.48/2.58 tff(10830,plain,
% 2.48/2.58 ((~(cell65 = cell90)) <=> (~(cell90 = cell65))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10829])).
% 2.48/2.58 tff(10831,plain,
% 2.48/2.58 (~(cell90 = cell65)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8767, 10830])).
% 2.48/2.58 tff(10832,plain,
% 2.48/2.58 (((~(X!1 = cell64)) | (~(cell90 = cell65))) | (cell90 = cell65)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10833,plain,
% 2.48/2.58 ((~(X!1 = cell64)) | (~(cell90 = cell65))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10832, 10831])).
% 2.48/2.58 tff(10834,plain,
% 2.48/2.58 ((cell66 = cell90) <=> (cell90 = cell66)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8771])).
% 2.48/2.58 tff(10835,plain,
% 2.48/2.58 ((~(cell66 = cell90)) <=> (~(cell90 = cell66))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10834])).
% 2.48/2.58 tff(10836,plain,
% 2.48/2.58 (~(cell90 = cell66)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8778, 10835])).
% 2.48/2.58 tff(10837,plain,
% 2.48/2.58 (((~(X!1 = cell65)) | (~(cell90 = cell66))) | (cell90 = cell66)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10838,plain,
% 2.48/2.58 ((~(X!1 = cell65)) | (~(cell90 = cell66))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10837, 10836])).
% 2.48/2.58 tff(10839,plain,
% 2.48/2.58 ((cell67 = cell90) <=> (cell90 = cell67)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8782])).
% 2.48/2.58 tff(10840,plain,
% 2.48/2.58 ((~(cell67 = cell90)) <=> (~(cell90 = cell67))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10839])).
% 2.48/2.58 tff(10841,plain,
% 2.48/2.58 (~(cell90 = cell67)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8789, 10840])).
% 2.48/2.58 tff(10842,plain,
% 2.48/2.58 (((~(X!1 = cell66)) | (~(cell90 = cell67))) | (cell90 = cell67)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10843,plain,
% 2.48/2.58 ((~(X!1 = cell66)) | (~(cell90 = cell67))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10842, 10841])).
% 2.48/2.58 tff(10844,plain,
% 2.48/2.58 ((cell90 = cell68) <=> (cell68 = cell90)),
% 2.48/2.58 inference(commutativity,[status(thm)],[])).
% 2.48/2.58 tff(10845,plain,
% 2.48/2.58 ((cell68 = cell90) <=> (cell90 = cell68)),
% 2.48/2.58 inference(symmetry,[status(thm)],[10844])).
% 2.48/2.58 tff(10846,plain,
% 2.48/2.58 ((~(cell68 = cell90)) <=> (~(cell90 = cell68))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10845])).
% 2.48/2.58 tff(10847,plain,
% 2.48/2.58 ((~(cell68 = cell90)) <=> (~(cell68 = cell90))),
% 2.48/2.58 inference(rewrite,[status(thm)],[])).
% 2.48/2.58 tff(10848,axiom,(~(cell68 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47368')).
% 2.48/2.58 tff(10849,plain,
% 2.48/2.58 (~(cell68 = cell90)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 2.48/2.58 tff(10850,plain,
% 2.48/2.58 (~(cell90 = cell68)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[10849, 10846])).
% 2.48/2.58 tff(10851,plain,
% 2.48/2.58 (((~(X!1 = cell67)) | (~(cell90 = cell68))) | (cell90 = cell68)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10852,plain,
% 2.48/2.58 ((~(X!1 = cell67)) | (~(cell90 = cell68))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10851, 10850])).
% 2.48/2.58 tff(10853,plain,
% 2.48/2.58 ((cell69 = cell90) <=> (cell90 = cell69)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8795])).
% 2.48/2.58 tff(10854,plain,
% 2.48/2.58 ((~(cell69 = cell90)) <=> (~(cell90 = cell69))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10853])).
% 2.48/2.58 tff(10855,plain,
% 2.48/2.58 (~(cell90 = cell69)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8802, 10854])).
% 2.48/2.58 tff(10856,plain,
% 2.48/2.58 (((~(X!1 = cell68)) | (~(cell90 = cell69))) | (cell90 = cell69)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10857,plain,
% 2.48/2.58 ((~(X!1 = cell68)) | (~(cell90 = cell69))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10856, 10855])).
% 2.48/2.58 tff(10858,plain,
% 2.48/2.58 ((cell72 = cell90) <=> (cell90 = cell72)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8817])).
% 2.48/2.58 tff(10859,plain,
% 2.48/2.58 ((~(cell72 = cell90)) <=> (~(cell90 = cell72))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10858])).
% 2.48/2.58 tff(10860,plain,
% 2.48/2.58 (~(cell90 = cell72)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8824, 10859])).
% 2.48/2.58 tff(10861,plain,
% 2.48/2.58 (((~(X!1 = cell71)) | (~(cell90 = cell72))) | (cell90 = cell72)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10862,plain,
% 2.48/2.58 ((~(X!1 = cell71)) | (~(cell90 = cell72))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10861, 10860])).
% 2.48/2.58 tff(10863,plain,
% 2.48/2.58 ((cell73 = cell90) <=> (cell90 = cell73)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8828])).
% 2.48/2.58 tff(10864,plain,
% 2.48/2.58 ((~(cell73 = cell90)) <=> (~(cell90 = cell73))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10863])).
% 2.48/2.58 tff(10865,plain,
% 2.48/2.58 (~(cell90 = cell73)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8835, 10864])).
% 2.48/2.58 tff(10866,plain,
% 2.48/2.58 (((~(X!1 = cell72)) | (~(cell90 = cell73))) | (cell90 = cell73)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10867,plain,
% 2.48/2.58 ((~(X!1 = cell72)) | (~(cell90 = cell73))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10866, 10865])).
% 2.48/2.58 tff(10868,plain,
% 2.48/2.58 ((cell74 = cell90) <=> (cell90 = cell74)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8839])).
% 2.48/2.58 tff(10869,plain,
% 2.48/2.58 ((~(cell74 = cell90)) <=> (~(cell90 = cell74))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10868])).
% 2.48/2.58 tff(10870,plain,
% 2.48/2.58 (~(cell90 = cell74)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8846, 10869])).
% 2.48/2.58 tff(10871,plain,
% 2.48/2.58 (((~(X!1 = cell73)) | (~(cell90 = cell74))) | (cell90 = cell74)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10872,plain,
% 2.48/2.58 ((~(X!1 = cell73)) | (~(cell90 = cell74))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10871, 10870])).
% 2.48/2.58 tff(10873,plain,
% 2.48/2.58 ((cell75 = cell90) <=> (cell90 = cell75)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8850])).
% 2.48/2.58 tff(10874,plain,
% 2.48/2.58 ((~(cell75 = cell90)) <=> (~(cell90 = cell75))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10873])).
% 2.48/2.58 tff(10875,plain,
% 2.48/2.58 (~(cell90 = cell75)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8857, 10874])).
% 2.48/2.58 tff(10876,plain,
% 2.48/2.58 (((~(X!1 = cell74)) | (~(cell90 = cell75))) | (cell90 = cell75)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10877,plain,
% 2.48/2.58 ((~(X!1 = cell74)) | (~(cell90 = cell75))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10876, 10875])).
% 2.48/2.58 tff(10878,plain,
% 2.48/2.58 ((cell76 = cell90) <=> (cell90 = cell76)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8861])).
% 2.48/2.58 tff(10879,plain,
% 2.48/2.58 ((~(cell76 = cell90)) <=> (~(cell90 = cell76))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10878])).
% 2.48/2.58 tff(10880,plain,
% 2.48/2.58 (~(cell90 = cell76)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8868, 10879])).
% 2.48/2.58 tff(10881,plain,
% 2.48/2.58 (((~(X!1 = cell75)) | (~(cell90 = cell76))) | (cell90 = cell76)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10882,plain,
% 2.48/2.58 ((~(X!1 = cell75)) | (~(cell90 = cell76))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10881, 10880])).
% 2.48/2.58 tff(10883,plain,
% 2.48/2.58 ((cell77 = cell90) <=> (cell90 = cell77)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8331])).
% 2.48/2.58 tff(10884,plain,
% 2.48/2.58 ((~(cell77 = cell90)) <=> (~(cell90 = cell77))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10883])).
% 2.48/2.58 tff(10885,plain,
% 2.48/2.58 (~(cell90 = cell77)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8338, 10884])).
% 2.48/2.58 tff(10886,plain,
% 2.48/2.58 (((~(X!1 = cell76)) | (~(cell90 = cell77))) | (cell90 = cell77)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10887,plain,
% 2.48/2.58 ((~(X!1 = cell76)) | (~(cell90 = cell77))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10886, 10885])).
% 2.48/2.58 tff(10888,plain,
% 2.48/2.58 ((cell78 = cell90) <=> (cell90 = cell78)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8874])).
% 2.48/2.58 tff(10889,plain,
% 2.48/2.58 ((~(cell78 = cell90)) <=> (~(cell90 = cell78))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10888])).
% 2.48/2.58 tff(10890,plain,
% 2.48/2.58 (~(cell90 = cell78)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8881, 10889])).
% 2.48/2.58 tff(10891,plain,
% 2.48/2.58 (((~(X!1 = cell77)) | (~(cell90 = cell78))) | (cell90 = cell78)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10892,plain,
% 2.48/2.58 ((~(X!1 = cell77)) | (~(cell90 = cell78))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10891, 10890])).
% 2.48/2.58 tff(10893,plain,
% 2.48/2.58 ((cell80 = cell90) <=> (cell90 = cell80)),
% 2.48/2.58 inference(symmetry,[status(thm)],[9267])).
% 2.48/2.58 tff(10894,plain,
% 2.48/2.58 ((~(cell80 = cell90)) <=> (~(cell90 = cell80))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10893])).
% 2.48/2.58 tff(10895,plain,
% 2.48/2.58 (~(cell90 = cell80)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9274, 10894])).
% 2.48/2.58 tff(10896,plain,
% 2.48/2.58 (((~(X!1 = cell79)) | (~(cell90 = cell80))) | (cell90 = cell80)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10897,plain,
% 2.48/2.58 ((~(X!1 = cell79)) | (~(cell90 = cell80))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10896, 10895])).
% 2.48/2.58 tff(10898,plain,
% 2.48/2.58 ((cell82 = cell90) <=> (cell90 = cell82)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8902])).
% 2.48/2.58 tff(10899,plain,
% 2.48/2.58 ((~(cell82 = cell90)) <=> (~(cell90 = cell82))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10898])).
% 2.48/2.58 tff(10900,plain,
% 2.48/2.58 (~(cell90 = cell82)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8909, 10899])).
% 2.48/2.58 tff(10901,plain,
% 2.48/2.58 (((~(X!1 = cell81)) | (~(cell90 = cell82))) | (cell90 = cell82)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10902,plain,
% 2.48/2.58 ((~(X!1 = cell81)) | (~(cell90 = cell82))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10901, 10900])).
% 2.48/2.58 tff(10903,plain,
% 2.48/2.58 ((cell83 = cell90) <=> (cell90 = cell83)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8913])).
% 2.48/2.58 tff(10904,plain,
% 2.48/2.58 ((~(cell83 = cell90)) <=> (~(cell90 = cell83))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10903])).
% 2.48/2.58 tff(10905,plain,
% 2.48/2.58 (~(cell90 = cell83)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8920, 10904])).
% 2.48/2.58 tff(10906,plain,
% 2.48/2.58 (((~(X!1 = cell82)) | (~(cell90 = cell83))) | (cell90 = cell83)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10907,plain,
% 2.48/2.58 ((~(X!1 = cell82)) | (~(cell90 = cell83))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10906, 10905])).
% 2.48/2.58 tff(10908,plain,
% 2.48/2.58 ((cell84 = cell90) <=> (cell90 = cell84)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8924])).
% 2.48/2.58 tff(10909,plain,
% 2.48/2.58 ((~(cell84 = cell90)) <=> (~(cell90 = cell84))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10908])).
% 2.48/2.58 tff(10910,plain,
% 2.48/2.58 (~(cell90 = cell84)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8931, 10909])).
% 2.48/2.58 tff(10911,plain,
% 2.48/2.58 (((~(X!1 = cell83)) | (~(cell90 = cell84))) | (cell90 = cell84)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10912,plain,
% 2.48/2.58 ((~(X!1 = cell83)) | (~(cell90 = cell84))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10911, 10910])).
% 2.48/2.58 tff(10913,plain,
% 2.48/2.58 ((cell85 = cell90) <=> (cell90 = cell85)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8164])).
% 2.48/2.58 tff(10914,plain,
% 2.48/2.58 ((~(cell85 = cell90)) <=> (~(cell90 = cell85))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10913])).
% 2.48/2.58 tff(10915,plain,
% 2.48/2.58 (~(cell90 = cell85)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8171, 10914])).
% 2.48/2.58 tff(10916,plain,
% 2.48/2.58 (((~(X!1 = cell84)) | (~(cell90 = cell85))) | (cell90 = cell85)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10917,plain,
% 2.48/2.58 ((~(X!1 = cell84)) | (~(cell90 = cell85))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10916, 10915])).
% 2.48/2.58 tff(10918,plain,
% 2.48/2.58 ((cell86 = cell90) <=> (cell90 = cell86)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8252])).
% 2.48/2.58 tff(10919,plain,
% 2.48/2.58 ((~(cell86 = cell90)) <=> (~(cell90 = cell86))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10918])).
% 2.48/2.58 tff(10920,plain,
% 2.48/2.58 (~(cell90 = cell86)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8259, 10919])).
% 2.48/2.58 tff(10921,plain,
% 2.48/2.58 (((~(X!1 = cell85)) | (~(cell90 = cell86))) | (cell90 = cell86)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10922,plain,
% 2.48/2.58 ((~(X!1 = cell85)) | (~(cell90 = cell86))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10921, 10920])).
% 2.48/2.58 tff(10923,plain,
% 2.48/2.58 ((cell87 = cell90) <=> (cell90 = cell87)),
% 2.48/2.58 inference(symmetry,[status(thm)],[9027])).
% 2.48/2.58 tff(10924,plain,
% 2.48/2.58 ((~(cell87 = cell90)) <=> (~(cell90 = cell87))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10923])).
% 2.48/2.58 tff(10925,plain,
% 2.48/2.58 (~(cell90 = cell87)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9034, 10924])).
% 2.48/2.58 tff(10926,plain,
% 2.48/2.58 (((~(X!1 = cell86)) | (~(cell90 = cell87))) | (cell90 = cell87)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10927,plain,
% 2.48/2.58 ((~(X!1 = cell86)) | (~(cell90 = cell87))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10926, 10925])).
% 2.48/2.58 tff(10928,plain,
% 2.48/2.58 ((cell90 = cell88) <=> (cell88 = cell90)),
% 2.48/2.58 inference(commutativity,[status(thm)],[])).
% 2.48/2.58 tff(10929,plain,
% 2.48/2.58 ((cell88 = cell90) <=> (cell90 = cell88)),
% 2.48/2.58 inference(symmetry,[status(thm)],[10928])).
% 2.48/2.58 tff(10930,plain,
% 2.48/2.58 ((~(cell88 = cell90)) <=> (~(cell90 = cell88))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10929])).
% 2.48/2.58 tff(10931,plain,
% 2.48/2.58 ((~(cell88 = cell90)) <=> (~(cell88 = cell90))),
% 2.48/2.58 inference(rewrite,[status(thm)],[])).
% 2.48/2.58 tff(10932,axiom,(~(cell88 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49896')).
% 2.48/2.58 tff(10933,plain,
% 2.48/2.58 (~(cell88 = cell90)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 2.48/2.58 tff(10934,plain,
% 2.48/2.58 (~(cell90 = cell88)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[10933, 10930])).
% 2.48/2.58 tff(10935,plain,
% 2.48/2.58 (((~(X!1 = cell87)) | (~(cell90 = cell88))) | (cell90 = cell88)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10936,plain,
% 2.48/2.58 ((~(X!1 = cell87)) | (~(cell90 = cell88))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10935, 10934])).
% 2.48/2.58 tff(10937,plain,
% 2.48/2.58 ((cell92 = cell90) <=> (cell90 = cell92)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8950])).
% 2.48/2.58 tff(10938,plain,
% 2.48/2.58 ((~(cell92 = cell90)) <=> (~(cell90 = cell92))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10937])).
% 2.48/2.58 tff(10939,plain,
% 2.48/2.58 (~(cell90 = cell92)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8957, 10938])).
% 2.48/2.58 tff(10940,plain,
% 2.48/2.58 (((~(X!1 = cell91)) | (~(cell90 = cell92))) | (cell90 = cell92)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10941,plain,
% 2.48/2.58 ((~(X!1 = cell91)) | (~(cell90 = cell92))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10940, 10939])).
% 2.48/2.58 tff(10942,plain,
% 2.48/2.58 ((cell93 = cell90) <=> (cell90 = cell93)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8961])).
% 2.48/2.58 tff(10943,plain,
% 2.48/2.58 ((~(cell93 = cell90)) <=> (~(cell90 = cell93))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10942])).
% 2.48/2.58 tff(10944,plain,
% 2.48/2.58 (~(cell90 = cell93)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8968, 10943])).
% 2.48/2.58 tff(10945,plain,
% 2.48/2.58 (((~(X!1 = cell92)) | (~(cell90 = cell93))) | (cell90 = cell93)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10946,plain,
% 2.48/2.58 ((~(X!1 = cell92)) | (~(cell90 = cell93))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10945, 10944])).
% 2.48/2.58 tff(10947,plain,
% 2.48/2.58 ((cell94 = cell90) <=> (cell90 = cell94)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8972])).
% 2.48/2.58 tff(10948,plain,
% 2.48/2.58 ((~(cell94 = cell90)) <=> (~(cell90 = cell94))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10947])).
% 2.48/2.58 tff(10949,plain,
% 2.48/2.58 (~(cell90 = cell94)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8979, 10948])).
% 2.48/2.58 tff(10950,plain,
% 2.48/2.58 (((~(X!1 = cell93)) | (~(cell90 = cell94))) | (cell90 = cell94)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10951,plain,
% 2.48/2.58 ((~(X!1 = cell93)) | (~(cell90 = cell94))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10950, 10949])).
% 2.48/2.58 tff(10952,plain,
% 2.48/2.58 ((cell95 = cell90) <=> (cell90 = cell95)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8983])).
% 2.48/2.58 tff(10953,plain,
% 2.48/2.58 ((~(cell95 = cell90)) <=> (~(cell90 = cell95))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10952])).
% 2.48/2.58 tff(10954,plain,
% 2.48/2.58 (~(cell90 = cell95)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[8990, 10953])).
% 2.48/2.58 tff(10955,plain,
% 2.48/2.58 (((~(X!1 = cell94)) | (~(cell90 = cell95))) | (cell90 = cell95)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10956,plain,
% 2.48/2.58 ((~(X!1 = cell94)) | (~(cell90 = cell95))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10955, 10954])).
% 2.48/2.58 tff(10957,plain,
% 2.48/2.58 ((cell96 = cell90) <=> (cell90 = cell96)),
% 2.48/2.58 inference(symmetry,[status(thm)],[8994])).
% 2.48/2.58 tff(10958,plain,
% 2.48/2.58 ((~(cell96 = cell90)) <=> (~(cell90 = cell96))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10957])).
% 2.48/2.58 tff(10959,plain,
% 2.48/2.58 (~(cell90 = cell96)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9001, 10958])).
% 2.48/2.58 tff(10960,plain,
% 2.48/2.58 (((~(X!1 = cell95)) | (~(cell90 = cell96))) | (cell90 = cell96)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10961,plain,
% 2.48/2.58 ((~(X!1 = cell95)) | (~(cell90 = cell96))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10960, 10959])).
% 2.48/2.58 tff(10962,plain,
% 2.48/2.58 ((cell97 = cell90) <=> (cell90 = cell97)),
% 2.48/2.58 inference(symmetry,[status(thm)],[9005])).
% 2.48/2.58 tff(10963,plain,
% 2.48/2.58 ((~(cell97 = cell90)) <=> (~(cell90 = cell97))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10962])).
% 2.48/2.58 tff(10964,plain,
% 2.48/2.58 (~(cell90 = cell97)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9012, 10963])).
% 2.48/2.58 tff(10965,plain,
% 2.48/2.58 (((~(X!1 = cell96)) | (~(cell90 = cell97))) | (cell90 = cell97)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10966,plain,
% 2.48/2.58 ((~(X!1 = cell96)) | (~(cell90 = cell97))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10965, 10964])).
% 2.48/2.58 tff(10967,plain,
% 2.48/2.58 ((cell98 = cell90) <=> (cell90 = cell98)),
% 2.48/2.58 inference(symmetry,[status(thm)],[9016])).
% 2.48/2.58 tff(10968,plain,
% 2.48/2.58 ((~(cell98 = cell90)) <=> (~(cell90 = cell98))),
% 2.48/2.58 inference(monotonicity,[status(thm)],[10967])).
% 2.48/2.58 tff(10969,plain,
% 2.48/2.58 (~(cell90 = cell98)),
% 2.48/2.58 inference(modus_ponens,[status(thm)],[9023, 10968])).
% 2.48/2.58 tff(10970,plain,
% 2.48/2.58 (((~(X!1 = cell97)) | (~(cell90 = cell98))) | (cell90 = cell98)),
% 2.48/2.58 inference(tautology,[status(thm)],[])).
% 2.48/2.58 tff(10971,plain,
% 2.48/2.58 ((~(X!1 = cell97)) | (~(cell90 = cell98))),
% 2.48/2.58 inference(unit_resolution,[status(thm)],[10970, 10969])).
% 2.48/2.58 tff(10972,plain,
% 2.48/2.58 ((cell90 = cell100) <=> (cell100 = cell90)),
% 2.48/2.58 inference(commutativity,[status(thm)],[])).
% 2.48/2.58 tff(10973,plain,
% 2.48/2.58 ((cell100 = cell90) <=> (cell90 = cell100)),
% 2.48/2.58 inference(symmetry,[status(thm)],[10972])).
% 2.48/2.58 tff(10974,plain,
% 2.48/2.58 ((~(cell100 = cell90)) <=> (~(cell90 = cell100))),
% 2.48/2.59 inference(monotonicity,[status(thm)],[10973])).
% 2.48/2.59 tff(10975,plain,
% 2.48/2.59 ((~(cell100 = cell90)) <=> (~(cell100 = cell90))),
% 2.48/2.59 inference(rewrite,[status(thm)],[])).
% 2.48/2.59 tff(10976,axiom,(~(cell100 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45073')).
% 2.48/2.59 tff(10977,plain,
% 2.48/2.59 (~(cell100 = cell90)),
% 2.48/2.59 inference(modus_ponens,[status(thm)],[10976, 10975])).
% 2.48/2.59 tff(10978,plain,
% 2.48/2.59 (~(cell90 = cell100)),
% 2.48/2.59 inference(modus_ponens,[status(thm)],[10977, 10974])).
% 2.48/2.59 tff(10979,plain,
% 2.48/2.59 (((~(X!1 = cell99)) | (~(cell90 = cell100))) | (cell90 = cell100)),
% 2.48/2.59 inference(tautology,[status(thm)],[])).
% 2.48/2.59 tff(10980,plain,
% 2.48/2.59 ((~(X!1 = cell99)) | (~(cell90 = cell100))),
% 2.48/2.59 inference(unit_resolution,[status(thm)],[10979, 10978])).
% 2.48/2.59 tff(10981,plain,
% 2.48/2.59 ((cell14 = cell90) <=> (cell90 = cell14)),
% 2.48/2.59 inference(symmetry,[status(thm)],[8265])).
% 2.48/2.59 tff(10982,plain,
% 2.48/2.59 ((~(cell14 = cell90)) <=> (~(cell90 = cell14))),
% 2.48/2.59 inference(monotonicity,[status(thm)],[10981])).
% 2.48/2.59 tff(10983,plain,
% 2.48/2.59 (~(cell90 = cell14)),
% 2.48/2.59 inference(modus_ponens,[status(thm)],[8272, 10982])).
% 2.48/2.59 tff(10984,plain,
% 2.48/2.59 (((~(X!1 = cell4)) | (~(cell90 = cell14))) | (cell90 = cell14)),
% 2.48/2.59 inference(tautology,[status(thm)],[])).
% 2.48/2.59 tff(10985,plain,
% 2.48/2.59 ((~(X!1 = cell4)) | (~(cell90 = cell14))),
% 2.48/2.59 inference(unit_resolution,[status(thm)],[10984, 10983])).
% 2.48/2.59 tff(10986,plain,
% 2.48/2.59 (((~(X!1 = cell5)) | (~(cell90 = cell15))) | (cell90 = cell15)),
% 2.48/2.59 inference(tautology,[status(thm)],[])).
% 2.48/2.59 tff(10987,plain,
% 2.48/2.59 ((~(X!1 = cell5)) | (~(cell90 = cell15))),
% 2.48/2.59 inference(unit_resolution,[status(thm)],[10986, 10611])).
% 2.48/2.59 tff(10988,plain,
% 2.48/2.59 (((~(X!1 = cell6)) | (~(cell90 = cell16))) | (cell90 = cell16)),
% 2.48/2.59 inference(tautology,[status(thm)],[])).
% 2.48/2.59 tff(10989,plain,
% 2.48/2.59 ((~(X!1 = cell6)) | (~(cell90 = cell16))),
% 2.48/2.59 inference(unit_resolution,[status(thm)],[10988, 10616])).
% 2.48/2.59 tff(10990,plain,
% 2.48/2.59 (((~(X!1 = cell7)) | (~(cell90 = cell17))) | (cell90 = cell17)),
% 2.48/2.59 inference(tautology,[status(thm)],[])).
% 2.48/2.59 tff(10991,plain,
% 2.48/2.59 ((~(X!1 = cell7)) | (~(cell90 = cell17))),
% 2.48/2.59 inference(unit_resolution,[status(thm)],[10990, 10621])).
% 2.48/2.59 tff(10992,plain,
% 2.48/2.59 (((~(X!1 = cell8)) | (~(cell90 = cell18))) | (cell90 = cell18)),
% 2.48/2.59 inference(tautology,[status(thm)],[])).
% 2.48/2.59 tff(10993,plain,
% 2.48/2.59 ((~(X!1 = cell8)) | (~(cell90 = cell18))),
% 2.48/2.59 inference(unit_resolution,[status(thm)],[10992, 10626])).
% 2.48/2.59 tff(10994,plain,
% 2.48/2.59 (((~(X!1 = cell9)) | (~(cell90 = cell19))) | (cell90 = cell19)),
% 2.48/2.59 inference(tautology,[status(thm)],[])).
% 2.48/2.59 tff(10995,plain,
% 2.48/2.59 ((~(X!1 = cell9)) | (~(cell90 = cell19))),
% 2.48/2.59 inference(unit_resolution,[status(thm)],[10994, 10631])).
% 2.48/2.59 tff(10996,plain,
% 2.48/2.59 (((~(X!1 = cell10)) | (~(cell90 = cell20))) | (cell90 = cell20)),
% 2.48/2.59 inference(tautology,[status(thm)],[])).
% 2.48/2.59 tff(10997,plain,
% 2.48/2.59 ((~(X!1 = cell10)) | (~(cell90 = cell20))),
% 2.48/2.59 inference(unit_resolution,[status(thm)],[10996, 10636])).
% 2.48/2.59 tff(10998,plain,
% 2.48/2.59 ((cell21 = cell90) <=> (cell90 = cell21)),
% 2.48/2.59 inference(symmetry,[status(thm)],[9110])).
% 2.48/2.59 tff(10999,plain,
% 2.48/2.59 ((~(cell21 = cell90)) <=> (~(cell90 = cell21))),
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11001, 11000])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11003, 10646])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11007, 10656])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11009, 10661])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11011, 10666])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11015, 10676])).
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% 2.48/2.59 inference(modus_ponens,[status(thm)],[8426, 11018])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11020, 11019])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11022, 10681])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11024, 10686])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11026, 10691])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11028, 10696])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11030, 10701])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11032, 10706])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11034, 10711])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11036, 10716])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11038, 10721])).
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% 2.48/2.59 inference(symmetry,[status(thm)],[8518])).
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% 2.48/2.59 inference(monotonicity,[status(thm)],[11040])).
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% 2.48/2.59 inference(modus_ponens,[status(thm)],[8525, 11041])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11043, 11042])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.48/2.59 inference(unit_resolution,[status(thm)],[11045, 10726])).
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% 2.48/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11047, 10731])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11049, 10736])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11051, 10741])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11053, 10746])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11055, 10751])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11057, 10756])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11059, 10761])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11061, 10766])).
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% 2.55/2.59 ((cell51 = cell90) <=> (cell90 = cell51)),
% 2.55/2.59 inference(symmetry,[status(thm)],[8617])).
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% 2.55/2.59 ((~(cell51 = cell90)) <=> (~(cell90 = cell51))),
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% 2.55/2.59 inference(modus_ponens,[status(thm)],[8624, 11064])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11066, 11065])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11068, 10771])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11070, 10776])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11072, 10781])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11074, 10786])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11076, 10791])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11078, 10796])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11082, 10806])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11084, 10811])).
% 2.55/2.59 tff(11086,plain,
% 2.55/2.59 ((cell61 = cell90) <=> (cell90 = cell61)),
% 2.55/2.59 inference(symmetry,[status(thm)],[8716])).
% 2.55/2.59 tff(11087,plain,
% 2.55/2.59 ((~(cell61 = cell90)) <=> (~(cell90 = cell61))),
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% 2.55/2.59 tff(11088,plain,
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% 2.55/2.59 inference(modus_ponens,[status(thm)],[8723, 11087])).
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11090,plain,
% 2.55/2.59 ((~(X!1 = cell51)) | (~(cell90 = cell61))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11089, 11088])).
% 2.55/2.59 tff(11091,plain,
% 2.55/2.59 (((~(X!1 = cell52)) | (~(cell90 = cell62))) | (cell90 = cell62)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11092,plain,
% 2.55/2.59 ((~(X!1 = cell52)) | (~(cell90 = cell62))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11091, 10816])).
% 2.55/2.59 tff(11093,plain,
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% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11093, 10821])).
% 2.55/2.59 tff(11095,plain,
% 2.55/2.59 (((~(X!1 = cell54)) | (~(cell90 = cell64))) | (cell90 = cell64)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11096,plain,
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11095, 10826])).
% 2.55/2.59 tff(11097,plain,
% 2.55/2.59 (((~(X!1 = cell55)) | (~(cell90 = cell65))) | (cell90 = cell65)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11098,plain,
% 2.55/2.59 ((~(X!1 = cell55)) | (~(cell90 = cell65))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11097, 10831])).
% 2.55/2.59 tff(11099,plain,
% 2.55/2.59 (((~(X!1 = cell56)) | (~(cell90 = cell66))) | (cell90 = cell66)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
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% 2.55/2.59 ((~(X!1 = cell56)) | (~(cell90 = cell66))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11099, 10836])).
% 2.55/2.59 tff(11101,plain,
% 2.55/2.59 (((~(X!1 = cell57)) | (~(cell90 = cell67))) | (cell90 = cell67)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11102,plain,
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% 2.55/2.59 inference(unit_resolution,[status(thm)],[11101, 10841])).
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% 2.55/2.59 (((~(X!1 = cell58)) | (~(cell90 = cell68))) | (cell90 = cell68)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11104,plain,
% 2.55/2.59 ((~(X!1 = cell58)) | (~(cell90 = cell68))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11103, 10850])).
% 2.55/2.59 tff(11105,plain,
% 2.55/2.59 (((~(X!1 = cell59)) | (~(cell90 = cell69))) | (cell90 = cell69)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11106,plain,
% 2.55/2.59 ((~(X!1 = cell59)) | (~(cell90 = cell69))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11105, 10855])).
% 2.55/2.59 tff(11107,plain,
% 2.55/2.59 ((cell90 = cell70) <=> (cell70 = cell90)),
% 2.55/2.59 inference(commutativity,[status(thm)],[])).
% 2.55/2.59 tff(11108,plain,
% 2.55/2.59 ((cell70 = cell90) <=> (cell90 = cell70)),
% 2.55/2.59 inference(symmetry,[status(thm)],[11107])).
% 2.55/2.59 tff(11109,plain,
% 2.55/2.59 ((~(cell70 = cell90)) <=> (~(cell90 = cell70))),
% 2.55/2.59 inference(monotonicity,[status(thm)],[11108])).
% 2.55/2.59 tff(11110,plain,
% 2.55/2.59 ((~(cell70 = cell90)) <=> (~(cell70 = cell90))),
% 2.55/2.59 inference(rewrite,[status(thm)],[])).
% 2.55/2.59 tff(11111,axiom,(~(cell70 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47223')).
% 2.55/2.59 tff(11112,plain,
% 2.55/2.59 (~(cell70 = cell90)),
% 2.55/2.59 inference(modus_ponens,[status(thm)],[11111, 11110])).
% 2.55/2.59 tff(11113,plain,
% 2.55/2.59 (~(cell90 = cell70)),
% 2.55/2.59 inference(modus_ponens,[status(thm)],[11112, 11109])).
% 2.55/2.59 tff(11114,plain,
% 2.55/2.59 (((~(X!1 = cell60)) | (~(cell90 = cell70))) | (cell90 = cell70)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11115,plain,
% 2.55/2.59 ((~(X!1 = cell60)) | (~(cell90 = cell70))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11114, 11113])).
% 2.55/2.59 tff(11116,plain,
% 2.55/2.59 ((cell71 = cell90) <=> (cell90 = cell71)),
% 2.55/2.59 inference(symmetry,[status(thm)],[8806])).
% 2.55/2.59 tff(11117,plain,
% 2.55/2.59 ((~(cell71 = cell90)) <=> (~(cell90 = cell71))),
% 2.55/2.59 inference(monotonicity,[status(thm)],[11116])).
% 2.55/2.59 tff(11118,plain,
% 2.55/2.59 (~(cell90 = cell71)),
% 2.55/2.59 inference(modus_ponens,[status(thm)],[8813, 11117])).
% 2.55/2.59 tff(11119,plain,
% 2.55/2.59 (((~(X!1 = cell61)) | (~(cell90 = cell71))) | (cell90 = cell71)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11120,plain,
% 2.55/2.59 ((~(X!1 = cell61)) | (~(cell90 = cell71))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11119, 11118])).
% 2.55/2.59 tff(11121,plain,
% 2.55/2.59 (((~(X!1 = cell62)) | (~(cell90 = cell72))) | (cell90 = cell72)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11122,plain,
% 2.55/2.59 ((~(X!1 = cell62)) | (~(cell90 = cell72))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11121, 10860])).
% 2.55/2.59 tff(11123,plain,
% 2.55/2.59 (((~(X!1 = cell63)) | (~(cell90 = cell73))) | (cell90 = cell73)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11124,plain,
% 2.55/2.59 ((~(X!1 = cell63)) | (~(cell90 = cell73))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11123, 10865])).
% 2.55/2.59 tff(11125,plain,
% 2.55/2.59 (((~(X!1 = cell64)) | (~(cell90 = cell74))) | (cell90 = cell74)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11126,plain,
% 2.55/2.59 ((~(X!1 = cell64)) | (~(cell90 = cell74))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11125, 10870])).
% 2.55/2.59 tff(11127,plain,
% 2.55/2.59 (((~(X!1 = cell65)) | (~(cell90 = cell75))) | (cell90 = cell75)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11128,plain,
% 2.55/2.59 ((~(X!1 = cell65)) | (~(cell90 = cell75))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11127, 10875])).
% 2.55/2.59 tff(11129,plain,
% 2.55/2.59 (((~(X!1 = cell66)) | (~(cell90 = cell76))) | (cell90 = cell76)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11130,plain,
% 2.55/2.59 ((~(X!1 = cell66)) | (~(cell90 = cell76))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11129, 10880])).
% 2.55/2.59 tff(11131,plain,
% 2.55/2.59 (((~(X!1 = cell67)) | (~(cell90 = cell77))) | (cell90 = cell77)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11132,plain,
% 2.55/2.59 ((~(X!1 = cell67)) | (~(cell90 = cell77))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11131, 10885])).
% 2.55/2.59 tff(11133,plain,
% 2.55/2.59 (((~(X!1 = cell68)) | (~(cell90 = cell78))) | (cell90 = cell78)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11134,plain,
% 2.55/2.59 ((~(X!1 = cell68)) | (~(cell90 = cell78))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11133, 10890])).
% 2.55/2.59 tff(11135,plain,
% 2.55/2.59 (((~(X!1 = cell70)) | (~(cell90 = cell80))) | (cell90 = cell80)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11136,plain,
% 2.55/2.59 ((~(X!1 = cell70)) | (~(cell90 = cell80))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11135, 10895])).
% 2.55/2.59 tff(11137,plain,
% 2.55/2.59 ((cell81 = cell90) <=> (cell90 = cell81)),
% 2.55/2.59 inference(symmetry,[status(thm)],[8891])).
% 2.55/2.59 tff(11138,plain,
% 2.55/2.59 ((~(cell81 = cell90)) <=> (~(cell90 = cell81))),
% 2.55/2.59 inference(monotonicity,[status(thm)],[11137])).
% 2.55/2.59 tff(11139,plain,
% 2.55/2.59 (~(cell90 = cell81)),
% 2.55/2.59 inference(modus_ponens,[status(thm)],[8898, 11138])).
% 2.55/2.59 tff(11140,plain,
% 2.55/2.59 (((~(X!1 = cell71)) | (~(cell90 = cell81))) | (cell90 = cell81)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11141,plain,
% 2.55/2.59 ((~(X!1 = cell71)) | (~(cell90 = cell81))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11140, 11139])).
% 2.55/2.59 tff(11142,plain,
% 2.55/2.59 (((~(X!1 = cell72)) | (~(cell90 = cell82))) | (cell90 = cell82)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11143,plain,
% 2.55/2.59 ((~(X!1 = cell72)) | (~(cell90 = cell82))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11142, 10900])).
% 2.55/2.59 tff(11144,plain,
% 2.55/2.59 (((~(X!1 = cell73)) | (~(cell90 = cell83))) | (cell90 = cell83)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11145,plain,
% 2.55/2.59 ((~(X!1 = cell73)) | (~(cell90 = cell83))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11144, 10905])).
% 2.55/2.59 tff(11146,plain,
% 2.55/2.59 (((~(X!1 = cell74)) | (~(cell90 = cell84))) | (cell90 = cell84)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11147,plain,
% 2.55/2.59 ((~(X!1 = cell74)) | (~(cell90 = cell84))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11146, 10910])).
% 2.55/2.59 tff(11148,plain,
% 2.55/2.59 (((~(X!1 = cell75)) | (~(cell90 = cell85))) | (cell90 = cell85)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11149,plain,
% 2.55/2.59 ((~(X!1 = cell75)) | (~(cell90 = cell85))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11148, 10915])).
% 2.55/2.59 tff(11150,plain,
% 2.55/2.59 (((~(X!1 = cell76)) | (~(cell90 = cell86))) | (cell90 = cell86)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11151,plain,
% 2.55/2.59 ((~(X!1 = cell76)) | (~(cell90 = cell86))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11150, 10920])).
% 2.55/2.59 tff(11152,plain,
% 2.55/2.59 (((~(X!1 = cell77)) | (~(cell90 = cell87))) | (cell90 = cell87)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11153,plain,
% 2.55/2.59 ((~(X!1 = cell77)) | (~(cell90 = cell87))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11152, 10925])).
% 2.55/2.59 tff(11154,plain,
% 2.55/2.59 ((cell90 = cell89) <=> (cell89 = cell90)),
% 2.55/2.59 inference(commutativity,[status(thm)],[])).
% 2.55/2.59 tff(11155,plain,
% 2.55/2.59 ((cell89 = cell90) <=> (cell90 = cell89)),
% 2.55/2.59 inference(symmetry,[status(thm)],[11154])).
% 2.55/2.59 tff(11156,plain,
% 2.55/2.59 ((~(cell89 = cell90)) <=> (~(cell90 = cell89))),
% 2.55/2.59 inference(monotonicity,[status(thm)],[11155])).
% 2.55/2.59 tff(11157,plain,
% 2.55/2.59 (~(cell90 = cell89)),
% 2.55/2.59 inference(modus_ponens,[status(thm)],[2683, 11156])).
% 2.55/2.59 tff(11158,plain,
% 2.55/2.59 (((~(X!1 = cell79)) | (~(cell90 = cell89))) | (cell90 = cell89)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11159,plain,
% 2.55/2.59 ((~(X!1 = cell79)) | (~(cell90 = cell89))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11158, 11157])).
% 2.55/2.59 tff(11160,plain,
% 2.55/2.59 ((cell91 = cell90) <=> (cell90 = cell91)),
% 2.55/2.59 inference(symmetry,[status(thm)],[8939])).
% 2.55/2.59 tff(11161,plain,
% 2.55/2.59 ((~(cell91 = cell90)) <=> (~(cell90 = cell91))),
% 2.55/2.59 inference(monotonicity,[status(thm)],[11160])).
% 2.55/2.59 tff(11162,plain,
% 2.55/2.59 (~(cell90 = cell91)),
% 2.55/2.59 inference(modus_ponens,[status(thm)],[8946, 11161])).
% 2.55/2.59 tff(11163,plain,
% 2.55/2.59 (((~(X!1 = cell81)) | (~(cell90 = cell91))) | (cell90 = cell91)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11164,plain,
% 2.55/2.59 ((~(X!1 = cell81)) | (~(cell90 = cell91))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11163, 11162])).
% 2.55/2.59 tff(11165,plain,
% 2.55/2.59 (((~(X!1 = cell82)) | (~(cell90 = cell92))) | (cell90 = cell92)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11166,plain,
% 2.55/2.59 ((~(X!1 = cell82)) | (~(cell90 = cell92))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11165, 10939])).
% 2.55/2.59 tff(11167,plain,
% 2.55/2.59 (((~(X!1 = cell83)) | (~(cell90 = cell93))) | (cell90 = cell93)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11168,plain,
% 2.55/2.59 ((~(X!1 = cell83)) | (~(cell90 = cell93))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11167, 10944])).
% 2.55/2.59 tff(11169,plain,
% 2.55/2.59 (((~(X!1 = cell84)) | (~(cell90 = cell94))) | (cell90 = cell94)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11170,plain,
% 2.55/2.59 ((~(X!1 = cell84)) | (~(cell90 = cell94))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11169, 10949])).
% 2.55/2.59 tff(11171,plain,
% 2.55/2.59 (((~(X!1 = cell85)) | (~(cell90 = cell95))) | (cell90 = cell95)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11172,plain,
% 2.55/2.59 ((~(X!1 = cell85)) | (~(cell90 = cell95))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11171, 10954])).
% 2.55/2.59 tff(11173,plain,
% 2.55/2.59 (((~(X!1 = cell86)) | (~(cell90 = cell96))) | (cell90 = cell96)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11174,plain,
% 2.55/2.59 ((~(X!1 = cell86)) | (~(cell90 = cell96))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11173, 10959])).
% 2.55/2.59 tff(11175,plain,
% 2.55/2.59 (((~(X!1 = cell90)) | (~(cell90 = cell100))) | (cell90 = cell100)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11176,plain,
% 2.55/2.59 ((~(X!1 = cell90)) | (~(cell90 = cell100))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11175, 10978])).
% 2.55/2.59 tff(11177,plain,
% 2.55/2.59 (((~(X!1 = cell87)) | (~(cell90 = cell97))) | (cell90 = cell97)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11178,plain,
% 2.55/2.59 ((~(X!1 = cell87)) | (~(cell90 = cell97))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11177, 10964])).
% 2.55/2.59 tff(11179,plain,
% 2.55/2.59 (((~(X!1 = cell1)) | (~(cell90 = cell2))) | (cell90 = cell2)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11180,plain,
% 2.55/2.59 ((~(X!1 = cell1)) | (~(cell90 = cell2))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11179, 3978])).
% 2.55/2.59 tff(11181,plain,
% 2.55/2.59 (((~(X!1 = cell11)) | (~(cell90 = cell12))) | (cell90 = cell12)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11182,plain,
% 2.55/2.59 ((~(X!1 = cell11)) | (~(cell90 = cell12))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11181, 2612])).
% 2.55/2.59 tff(11183,plain,
% 2.55/2.59 (((~(X!1 = cell12)) | (~(cell90 = cell13))) | (X!1 = cell12)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11184,plain,
% 2.55/2.59 ((~(X!1 = cell12)) | (~(cell90 = cell13))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11183, 9282])).
% 2.55/2.59 tff(11185,plain,
% 2.55/2.59 (((~(X!1 = cell13)) | (~(cell90 = cell14))) | (X!1 = cell13)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11186,plain,
% 2.55/2.59 ((~(X!1 = cell13)) | (~(cell90 = cell14))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11185, 29])).
% 2.55/2.59 tff(11187,plain,
% 2.55/2.59 (((~(X!1 = cell21)) | (~(cell90 = cell22))) | (cell90 = cell22)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11188,plain,
% 2.55/2.59 ((~(X!1 = cell21)) | (~(cell90 = cell22))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11187, 3966])).
% 2.55/2.59 tff(11189,plain,
% 2.55/2.59 (((~(X!1 = cell69)) | (~(cell90 = cell70))) | (X!1 = cell69)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11190,plain,
% 2.55/2.59 ((~(X!1 = cell69)) | (~(cell90 = cell70))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11189, 1218])).
% 2.55/2.59 tff(11191,plain,
% 2.55/2.59 (((~(X!1 = cell78)) | (~(cell90 = cell79))) | (X!1 = cell78)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11192,plain,
% 2.55/2.59 ((~(X!1 = cell78)) | (~(cell90 = cell79))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11191, 1217])).
% 2.55/2.59 tff(11193,plain,
% 2.55/2.59 (((~(X!1 = cell88)) | (~(cell90 = cell89))) | (X!1 = cell88)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11194,plain,
% 2.55/2.59 ((~(X!1 = cell88)) | (~(cell90 = cell89))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11193, 9299])).
% 2.55/2.59 tff(11195,plain,
% 2.55/2.59 (((~(X!1 = cell98)) | (~(cell90 = cell99))) | (cell90 = cell99)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11196,plain,
% 2.55/2.59 ((~(X!1 = cell98)) | (~(cell90 = cell99))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11195, 5267])).
% 2.55/2.59 tff(11197,plain,
% 2.55/2.59 (((~(X!1 = cell1)) | (~(cell90 = cell11))) | (cell90 = cell11)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11198,plain,
% 2.55/2.59 ((~(X!1 = cell1)) | (~(cell90 = cell11))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11197, 3953])).
% 2.55/2.59 tff(11199,plain,
% 2.55/2.59 (((~(X!1 = cell2)) | (~(cell90 = cell12))) | (cell90 = cell12)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11200,plain,
% 2.55/2.59 ((~(X!1 = cell2)) | (~(cell90 = cell12))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11199, 2612])).
% 2.55/2.59 tff(11201,plain,
% 2.55/2.59 (((~(X!1 = cell3)) | (~(cell90 = cell13))) | (cell90 = cell13)),
% 2.55/2.59 inference(tautology,[status(thm)],[])).
% 2.55/2.59 tff(11202,plain,
% 2.55/2.59 ((~(X!1 = cell3)) | (~(cell90 = cell13))),
% 2.55/2.59 inference(unit_resolution,[status(thm)],[11201, 3963])).
% 2.55/2.60 tff(11203,plain,
% 2.55/2.60 (((~(X!1 = cell12)) | (~(cell90 = cell22))) | (X!1 = cell12)),
% 2.55/2.60 inference(tautology,[status(thm)],[])).
% 2.55/2.60 tff(11204,plain,
% 2.55/2.60 ((~(X!1 = cell12)) | (~(cell90 = cell22))),
% 2.55/2.60 inference(unit_resolution,[status(thm)],[11203, 9282])).
% 2.55/2.60 tff(11205,plain,
% 2.55/2.60 (((~(X!1 = cell13)) | (~(cell90 = cell23))) | (X!1 = cell13)),
% 2.55/2.60 inference(tautology,[status(thm)],[])).
% 2.55/2.60 tff(11206,plain,
% 2.55/2.60 ((~(X!1 = cell13)) | (~(cell90 = cell23))),
% 2.55/2.60 inference(unit_resolution,[status(thm)],[11205, 29])).
% 2.55/2.60 tff(11207,plain,
% 2.55/2.60 (((~(X!1 = cell69)) | (~(cell90 = cell79))) | (X!1 = cell69)),
% 2.55/2.60 inference(tautology,[status(thm)],[])).
% 2.55/2.60 tff(11208,plain,
% 2.55/2.60 ((~(X!1 = cell69)) | (~(cell90 = cell79))),
% 2.55/2.60 inference(unit_resolution,[status(thm)],[11207, 1218])).
% 2.55/2.60 tff(11209,plain,
% 2.55/2.60 (((~(X!1 = cell78)) | (~(cell90 = cell88))) | (X!1 = cell78)),
% 2.55/2.60 inference(tautology,[status(thm)],[])).
% 2.55/2.60 tff(11210,plain,
% 2.55/2.60 ((~(X!1 = cell78)) | (~(cell90 = cell88))),
% 2.55/2.60 inference(unit_resolution,[status(thm)],[11209, 1217])).
% 2.55/2.60 tff(11211,plain,
% 2.55/2.60 (((~(X!1 = cell88)) | (~(cell90 = cell98))) | (X!1 = cell88)),
% 2.55/2.60 inference(tautology,[status(thm)],[])).
% 2.55/2.60 tff(11212,plain,
% 2.55/2.60 ((~(X!1 = cell88)) | (~(cell90 = cell98))),
% 2.55/2.60 inference(unit_resolution,[status(thm)],[11211, 9299])).
% 2.55/2.60 tff(11213,plain,
% 2.55/2.60 (((~(X!1 = cell89)) | (~(cell90 = cell99))) | (X!1 = cell89)),
% 2.55/2.60 inference(tautology,[status(thm)],[])).
% 2.55/2.60 tff(11214,plain,
% 2.55/2.60 ((~(X!1 = cell89)) | (~(cell90 = cell99))),
% 2.55/2.60 inference(unit_resolution,[status(thm)],[11213, 9304])).
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cell9)))) | (~((~(X!1 = cell7)) | (~(cell90 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell90 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell90 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell90 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell90 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell90 = cell3))))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[11215, 9304, 4549, 11214, 11212, 11210, 11208, 11206, 11204, 11202, 11200, 11198, 11196, 11194, 11192, 11190, 11188, 11186, 11184, 11182, 11180])).
% 2.55/2.62 tff(11217,plain,
% 2.55/2.62 ($false),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[11216, 11178, 11176, 11174, 11172, 11170, 11168, 11166, 11164, 11159, 11153, 11151, 11149, 11147, 11145, 11143, 11141, 11136, 11134, 11132, 11130, 11128, 11126, 11124, 11122, 11120, 11115, 11106, 11104, 11102, 11100, 11098, 11096, 11094, 11092, 11090, 11085, 11083, 11081, 11079, 11077, 11075, 11073, 11071, 11069, 11067, 11062, 11060, 11058, 11056, 11054, 11052, 11050, 11048, 11046, 11044, 11039, 11037, 11035, 11033, 11031, 11029, 11027, 11025, 11023, 11021, 11016, 11014, 11012, 11010, 11008, 11006, 11004, 11002, 10997, 10995, 10993, 10991, 10989, 10987, 10985, 10980, 10971, 10966, 10961, 10956, 10951, 10946, 10941, 10936, 10927, 10922, 10917, 10912, 10907, 10902, 10897, 10892, 10887, 10882, 10877, 10872, 10867, 10862, 10857, 10852, 10843, 10838, 10833, 10828, 10823, 10818, 10813, 10808, 10803, 10798, 10793, 10788, 10783, 10778, 10773, 10768, 10763, 10758, 10753, 10748, 10743, 10738, 10733, 10728, 10723, 10718, 10713, 10708, 10703, 10698, 10693, 10688, 10683, 10678, 10673, 10668, 10663, 10658, 10653, 10648, 10643, 10638, 10633, 10628, 10623, 10618, 10613, 10608, 10603, 10598, 10593, 10588, 10583, 10578, 10573, 10568])).
% 2.55/2.62 tff(11218,plain,((Y!0 = cell88) | (X!1 = cell12) | (X!1 = cell13) | (X!1 = cell69) | (X!1 = cell78) | patient(cell12) | patient(cell2)), inference(lemma,lemma(discharge,[]))).
% 2.55/2.62 tff(11219,plain,
% 2.55/2.62 (Y!0 = cell88),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[11218, 1225, 29, 1218, 1217, 1216, 30])).
% 2.55/2.62 tff(11220,plain,
% 2.55/2.62 (cell88 = Y!0),
% 2.55/2.62 inference(symmetry,[status(thm)],[11219])).
% 2.55/2.62 tff(11221,plain,
% 2.55/2.62 (edge(X!1, cell88) <=> edge(X!1, Y!0)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11220])).
% 2.55/2.62 tff(11222,plain,
% 2.55/2.62 (edge(X!1, Y!0) <=> edge(X!1, cell88)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11221])).
% 2.55/2.62 tff(11223,plain,
% 2.55/2.62 ((cell88 = cell85) <=> (cell85 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11224,plain,
% 2.55/2.62 ((Y!0 = cell85) <=> (cell88 = cell85)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11225,plain,
% 2.55/2.62 ((Y!0 = cell85) <=> (cell85 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11224, 11223])).
% 2.55/2.62 tff(11226,plain,
% 2.55/2.62 ((cell85 = cell88) <=> (Y!0 = cell85)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11225])).
% 2.55/2.62 tff(11227,plain,
% 2.55/2.62 ((~(cell85 = cell88)) <=> (~(Y!0 = cell85))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11226])).
% 2.55/2.62 tff(11228,plain,
% 2.55/2.62 ((~(cell85 = cell88)) <=> (~(cell85 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11229,axiom,(~(cell85 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46094')).
% 2.55/2.62 tff(11230,plain,
% 2.55/2.62 (~(cell85 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11229, 11228])).
% 2.55/2.62 tff(11231,plain,
% 2.55/2.62 (~(Y!0 = cell85)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11230, 11227])).
% 2.55/2.62 tff(11232,plain,
% 2.55/2.62 ((~(X!1 = cell95)) | (~(Y!0 = cell85))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8173, 11231])).
% 2.55/2.62 tff(11233,plain,
% 2.55/2.62 ((cell88 = cell3) <=> (cell3 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11234,plain,
% 2.55/2.62 ((Y!0 = cell3) <=> (cell88 = cell3)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11235,plain,
% 2.55/2.62 ((Y!0 = cell3) <=> (cell3 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11234, 11233])).
% 2.55/2.62 tff(11236,plain,
% 2.55/2.62 ((cell3 = cell88) <=> (Y!0 = cell3)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11235])).
% 2.55/2.62 tff(11237,plain,
% 2.55/2.62 ((~(cell3 = cell88)) <=> (~(Y!0 = cell3))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11236])).
% 2.55/2.62 tff(11238,plain,
% 2.55/2.62 ((~(cell3 = cell88)) <=> (~(cell3 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11239,axiom,(~(cell3 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49867')).
% 2.55/2.62 tff(11240,plain,
% 2.55/2.62 (~(cell3 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11239, 11238])).
% 2.55/2.62 tff(11241,plain,
% 2.55/2.62 (~(Y!0 = cell3)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11240, 11237])).
% 2.55/2.62 tff(11242,plain,
% 2.55/2.62 ((~(X!1 = cell4)) | (~(Y!0 = cell3))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8184, 11241])).
% 2.55/2.62 tff(11243,plain,
% 2.55/2.62 ((cell88 = cell4) <=> (cell4 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11244,plain,
% 2.55/2.62 ((Y!0 = cell4) <=> (cell88 = cell4)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11245,plain,
% 2.55/2.62 ((Y!0 = cell4) <=> (cell4 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11244, 11243])).
% 2.55/2.62 tff(11246,plain,
% 2.55/2.62 ((cell4 = cell88) <=> (Y!0 = cell4)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11245])).
% 2.55/2.62 tff(11247,plain,
% 2.55/2.62 ((~(cell4 = cell88)) <=> (~(Y!0 = cell4))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11246])).
% 2.55/2.62 tff(11248,plain,
% 2.55/2.62 ((~(cell4 = cell88)) <=> (~(cell4 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11249,axiom,(~(cell4 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49856')).
% 2.55/2.62 tff(11250,plain,
% 2.55/2.62 (~(cell4 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11249, 11248])).
% 2.55/2.62 tff(11251,plain,
% 2.55/2.62 (~(Y!0 = cell4)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11250, 11247])).
% 2.55/2.62 tff(11252,plain,
% 2.55/2.62 ((~(X!1 = cell5)) | (~(Y!0 = cell4))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8195, 11251])).
% 2.55/2.62 tff(11253,plain,
% 2.55/2.62 ((cell88 = cell5) <=> (cell5 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11254,plain,
% 2.55/2.62 ((Y!0 = cell5) <=> (cell88 = cell5)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11255,plain,
% 2.55/2.62 ((Y!0 = cell5) <=> (cell5 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11254, 11253])).
% 2.55/2.62 tff(11256,plain,
% 2.55/2.62 ((cell5 = cell88) <=> (Y!0 = cell5)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11255])).
% 2.55/2.62 tff(11257,plain,
% 2.55/2.62 ((~(cell5 = cell88)) <=> (~(Y!0 = cell5))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11256])).
% 2.55/2.62 tff(11258,plain,
% 2.55/2.62 ((~(cell5 = cell88)) <=> (~(cell5 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11259,axiom,(~(cell5 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49844')).
% 2.55/2.62 tff(11260,plain,
% 2.55/2.62 (~(cell5 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 2.55/2.62 tff(11261,plain,
% 2.55/2.62 (~(Y!0 = cell5)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11260, 11257])).
% 2.55/2.62 tff(11262,plain,
% 2.55/2.62 ((~(X!1 = cell6)) | (~(Y!0 = cell5))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8206, 11261])).
% 2.55/2.62 tff(11263,plain,
% 2.55/2.62 ((cell88 = cell6) <=> (cell6 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11264,plain,
% 2.55/2.62 ((Y!0 = cell6) <=> (cell88 = cell6)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11265,plain,
% 2.55/2.62 ((Y!0 = cell6) <=> (cell6 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11264, 11263])).
% 2.55/2.62 tff(11266,plain,
% 2.55/2.62 ((cell6 = cell88) <=> (Y!0 = cell6)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11265])).
% 2.55/2.62 tff(11267,plain,
% 2.55/2.62 ((~(cell6 = cell88)) <=> (~(Y!0 = cell6))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11266])).
% 2.55/2.62 tff(11268,plain,
% 2.55/2.62 ((~(cell6 = cell88)) <=> (~(cell6 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11269,axiom,(~(cell6 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49831')).
% 2.55/2.62 tff(11270,plain,
% 2.55/2.62 (~(cell6 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 2.55/2.62 tff(11271,plain,
% 2.55/2.62 (~(Y!0 = cell6)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11270, 11267])).
% 2.55/2.62 tff(11272,plain,
% 2.55/2.62 ((~(X!1 = cell7)) | (~(Y!0 = cell6))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8217, 11271])).
% 2.55/2.62 tff(11273,plain,
% 2.55/2.62 ((cell88 = cell7) <=> (cell7 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11274,plain,
% 2.55/2.62 ((Y!0 = cell7) <=> (cell88 = cell7)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11275,plain,
% 2.55/2.62 ((Y!0 = cell7) <=> (cell7 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11274, 11273])).
% 2.55/2.62 tff(11276,plain,
% 2.55/2.62 ((cell7 = cell88) <=> (Y!0 = cell7)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11275])).
% 2.55/2.62 tff(11277,plain,
% 2.55/2.62 ((~(cell7 = cell88)) <=> (~(Y!0 = cell7))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11276])).
% 2.55/2.62 tff(11278,plain,
% 2.55/2.62 ((~(cell7 = cell88)) <=> (~(cell7 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11279,axiom,(~(cell7 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49817')).
% 2.55/2.62 tff(11280,plain,
% 2.55/2.62 (~(cell7 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11279, 11278])).
% 2.55/2.62 tff(11281,plain,
% 2.55/2.62 (~(Y!0 = cell7)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11280, 11277])).
% 2.55/2.62 tff(11282,plain,
% 2.55/2.62 ((~(X!1 = cell8)) | (~(Y!0 = cell7))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8228, 11281])).
% 2.55/2.62 tff(11283,plain,
% 2.55/2.62 ((cell88 = cell8) <=> (cell8 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11284,plain,
% 2.55/2.62 ((Y!0 = cell8) <=> (cell88 = cell8)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11285,plain,
% 2.55/2.62 ((Y!0 = cell8) <=> (cell8 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11284, 11283])).
% 2.55/2.62 tff(11286,plain,
% 2.55/2.62 ((cell8 = cell88) <=> (Y!0 = cell8)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11285])).
% 2.55/2.62 tff(11287,plain,
% 2.55/2.62 ((~(cell8 = cell88)) <=> (~(Y!0 = cell8))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11286])).
% 2.55/2.62 tff(11288,plain,
% 2.55/2.62 ((~(cell8 = cell88)) <=> (~(cell8 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11289,axiom,(~(cell8 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49802')).
% 2.55/2.62 tff(11290,plain,
% 2.55/2.62 (~(cell8 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11289, 11288])).
% 2.55/2.62 tff(11291,plain,
% 2.55/2.62 (~(Y!0 = cell8)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11290, 11287])).
% 2.55/2.62 tff(11292,plain,
% 2.55/2.62 ((~(X!1 = cell9)) | (~(Y!0 = cell8))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8239, 11291])).
% 2.55/2.62 tff(11293,plain,
% 2.55/2.62 ((cell88 = cell9) <=> (cell9 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11294,plain,
% 2.55/2.62 ((Y!0 = cell9) <=> (cell88 = cell9)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11295,plain,
% 2.55/2.62 ((Y!0 = cell9) <=> (cell9 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11294, 11293])).
% 2.55/2.62 tff(11296,plain,
% 2.55/2.62 ((cell9 = cell88) <=> (Y!0 = cell9)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11295])).
% 2.55/2.62 tff(11297,plain,
% 2.55/2.62 ((~(cell9 = cell88)) <=> (~(Y!0 = cell9))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11296])).
% 2.55/2.62 tff(11298,plain,
% 2.55/2.62 ((~(cell9 = cell88)) <=> (~(cell9 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11299,axiom,(~(cell9 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49786')).
% 2.55/2.62 tff(11300,plain,
% 2.55/2.62 (~(cell9 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11299, 11298])).
% 2.55/2.62 tff(11301,plain,
% 2.55/2.62 (~(Y!0 = cell9)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11300, 11297])).
% 2.55/2.62 tff(11302,plain,
% 2.55/2.62 ((~(X!1 = cell10)) | (~(Y!0 = cell9))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8250, 11301])).
% 2.55/2.62 tff(11303,plain,
% 2.55/2.62 ((cell88 = cell86) <=> (cell86 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11304,plain,
% 2.55/2.62 ((Y!0 = cell86) <=> (cell88 = cell86)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11305,plain,
% 2.55/2.62 ((Y!0 = cell86) <=> (cell86 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11304, 11303])).
% 2.55/2.62 tff(11306,plain,
% 2.55/2.62 ((cell86 = cell88) <=> (Y!0 = cell86)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11305])).
% 2.55/2.62 tff(11307,plain,
% 2.55/2.62 ((~(cell86 = cell88)) <=> (~(Y!0 = cell86))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11306])).
% 2.55/2.62 tff(11308,plain,
% 2.55/2.62 ((~(cell86 = cell88)) <=> (~(cell86 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11309,axiom,(~(cell86 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46006')).
% 2.55/2.62 tff(11310,plain,
% 2.55/2.62 (~(cell86 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11309, 11308])).
% 2.55/2.62 tff(11311,plain,
% 2.55/2.62 (~(Y!0 = cell86)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11310, 11307])).
% 2.55/2.62 tff(11312,plain,
% 2.55/2.62 ((~(X!1 = cell96)) | (~(Y!0 = cell86))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8261, 11311])).
% 2.55/2.62 tff(11313,plain,
% 2.55/2.62 ((cell88 = cell14) <=> (cell14 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11314,plain,
% 2.55/2.62 ((Y!0 = cell14) <=> (cell88 = cell14)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11315,plain,
% 2.55/2.62 ((Y!0 = cell14) <=> (cell14 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11314, 11313])).
% 2.55/2.62 tff(11316,plain,
% 2.55/2.62 ((cell14 = cell88) <=> (Y!0 = cell14)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11315])).
% 2.55/2.62 tff(11317,plain,
% 2.55/2.62 ((~(cell14 = cell88)) <=> (~(Y!0 = cell14))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11316])).
% 2.55/2.62 tff(11318,plain,
% 2.55/2.62 ((~(cell14 = cell88)) <=> (~(cell14 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11319,axiom,(~(cell14 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49751')).
% 2.55/2.62 tff(11320,plain,
% 2.55/2.62 (~(cell14 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 2.55/2.62 tff(11321,plain,
% 2.55/2.62 (~(Y!0 = cell14)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11320, 11317])).
% 2.55/2.62 tff(11322,plain,
% 2.55/2.62 ((~(X!1 = cell15)) | (~(Y!0 = cell14))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8274, 11321])).
% 2.55/2.62 tff(11323,plain,
% 2.55/2.62 ((cell88 = cell15) <=> (cell15 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11324,plain,
% 2.55/2.62 ((Y!0 = cell15) <=> (cell88 = cell15)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11325,plain,
% 2.55/2.62 ((Y!0 = cell15) <=> (cell15 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11324, 11323])).
% 2.55/2.62 tff(11326,plain,
% 2.55/2.62 ((cell15 = cell88) <=> (Y!0 = cell15)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11325])).
% 2.55/2.62 tff(11327,plain,
% 2.55/2.62 ((~(cell15 = cell88)) <=> (~(Y!0 = cell15))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11326])).
% 2.55/2.62 tff(11328,plain,
% 2.55/2.62 ((~(cell15 = cell88)) <=> (~(cell15 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11329,axiom,(~(cell15 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49732')).
% 2.55/2.62 tff(11330,plain,
% 2.55/2.62 (~(cell15 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11329, 11328])).
% 2.55/2.62 tff(11331,plain,
% 2.55/2.62 (~(Y!0 = cell15)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11330, 11327])).
% 2.55/2.62 tff(11332,plain,
% 2.55/2.62 ((~(X!1 = cell16)) | (~(Y!0 = cell15))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8285, 11331])).
% 2.55/2.62 tff(11333,plain,
% 2.55/2.62 ((cell88 = cell16) <=> (cell16 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11334,plain,
% 2.55/2.62 ((Y!0 = cell16) <=> (cell88 = cell16)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11335,plain,
% 2.55/2.62 ((Y!0 = cell16) <=> (cell16 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11334, 11333])).
% 2.55/2.62 tff(11336,plain,
% 2.55/2.62 ((cell16 = cell88) <=> (Y!0 = cell16)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11335])).
% 2.55/2.62 tff(11337,plain,
% 2.55/2.62 ((~(cell16 = cell88)) <=> (~(Y!0 = cell16))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11336])).
% 2.55/2.62 tff(11338,plain,
% 2.55/2.62 ((~(cell16 = cell88)) <=> (~(cell16 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11339,axiom,(~(cell16 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49712')).
% 2.55/2.62 tff(11340,plain,
% 2.55/2.62 (~(cell16 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 2.55/2.62 tff(11341,plain,
% 2.55/2.62 (~(Y!0 = cell16)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11340, 11337])).
% 2.55/2.62 tff(11342,plain,
% 2.55/2.62 ((~(X!1 = cell17)) | (~(Y!0 = cell16))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8296, 11341])).
% 2.55/2.62 tff(11343,plain,
% 2.55/2.62 ((cell88 = cell17) <=> (cell17 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11344,plain,
% 2.55/2.62 ((Y!0 = cell17) <=> (cell88 = cell17)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11345,plain,
% 2.55/2.62 ((Y!0 = cell17) <=> (cell17 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11344, 11343])).
% 2.55/2.62 tff(11346,plain,
% 2.55/2.62 ((cell17 = cell88) <=> (Y!0 = cell17)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11345])).
% 2.55/2.62 tff(11347,plain,
% 2.55/2.62 ((~(cell17 = cell88)) <=> (~(Y!0 = cell17))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11346])).
% 2.55/2.62 tff(11348,plain,
% 2.55/2.62 ((~(cell17 = cell88)) <=> (~(cell17 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11349,axiom,(~(cell17 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49691')).
% 2.55/2.62 tff(11350,plain,
% 2.55/2.62 (~(cell17 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11349, 11348])).
% 2.55/2.62 tff(11351,plain,
% 2.55/2.62 (~(Y!0 = cell17)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11350, 11347])).
% 2.55/2.62 tff(11352,plain,
% 2.55/2.62 ((~(X!1 = cell18)) | (~(Y!0 = cell17))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8307, 11351])).
% 2.55/2.62 tff(11353,plain,
% 2.55/2.62 ((cell88 = cell18) <=> (cell18 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11354,plain,
% 2.55/2.62 ((Y!0 = cell18) <=> (cell88 = cell18)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11355,plain,
% 2.55/2.62 ((Y!0 = cell18) <=> (cell18 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11354, 11353])).
% 2.55/2.62 tff(11356,plain,
% 2.55/2.62 ((cell18 = cell88) <=> (Y!0 = cell18)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11355])).
% 2.55/2.62 tff(11357,plain,
% 2.55/2.62 ((~(cell18 = cell88)) <=> (~(Y!0 = cell18))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11356])).
% 2.55/2.62 tff(11358,plain,
% 2.55/2.62 ((~(cell18 = cell88)) <=> (~(cell18 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11359,axiom,(~(cell18 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49669')).
% 2.55/2.62 tff(11360,plain,
% 2.55/2.62 (~(cell18 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11359, 11358])).
% 2.55/2.62 tff(11361,plain,
% 2.55/2.62 (~(Y!0 = cell18)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11360, 11357])).
% 2.55/2.62 tff(11362,plain,
% 2.55/2.62 ((~(X!1 = cell19)) | (~(Y!0 = cell18))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8318, 11361])).
% 2.55/2.62 tff(11363,plain,
% 2.55/2.62 ((cell88 = cell19) <=> (cell19 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11364,plain,
% 2.55/2.62 ((Y!0 = cell19) <=> (cell88 = cell19)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11365,plain,
% 2.55/2.62 ((Y!0 = cell19) <=> (cell19 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11364, 11363])).
% 2.55/2.62 tff(11366,plain,
% 2.55/2.62 ((cell19 = cell88) <=> (Y!0 = cell19)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11365])).
% 2.55/2.62 tff(11367,plain,
% 2.55/2.62 ((~(cell19 = cell88)) <=> (~(Y!0 = cell19))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11366])).
% 2.55/2.62 tff(11368,plain,
% 2.55/2.62 ((~(cell19 = cell88)) <=> (~(cell19 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11369,axiom,(~(cell19 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49646')).
% 2.55/2.62 tff(11370,plain,
% 2.55/2.62 (~(cell19 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11369, 11368])).
% 2.55/2.62 tff(11371,plain,
% 2.55/2.62 (~(Y!0 = cell19)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11370, 11367])).
% 2.55/2.62 tff(11372,plain,
% 2.55/2.62 ((~(X!1 = cell20)) | (~(Y!0 = cell19))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8329, 11371])).
% 2.55/2.62 tff(11373,plain,
% 2.55/2.62 ((cell88 = cell77) <=> (cell77 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11374,plain,
% 2.55/2.62 ((Y!0 = cell77) <=> (cell88 = cell77)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11375,plain,
% 2.55/2.62 ((Y!0 = cell77) <=> (cell77 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11374, 11373])).
% 2.55/2.62 tff(11376,plain,
% 2.55/2.62 ((cell77 = cell88) <=> (Y!0 = cell77)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11375])).
% 2.55/2.62 tff(11377,plain,
% 2.55/2.62 ((~(cell77 = cell88)) <=> (~(Y!0 = cell77))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11376])).
% 2.55/2.62 tff(11378,plain,
% 2.55/2.62 ((~(cell77 = cell88)) <=> (~(cell77 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11379,axiom,(~(cell77 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46682')).
% 2.55/2.62 tff(11380,plain,
% 2.55/2.62 (~(cell77 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 2.55/2.62 tff(11381,plain,
% 2.55/2.62 (~(Y!0 = cell77)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11380, 11377])).
% 2.55/2.62 tff(11382,plain,
% 2.55/2.62 ((~(X!1 = cell87)) | (~(Y!0 = cell77))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8340, 11381])).
% 2.55/2.62 tff(11383,plain,
% 2.55/2.62 ((cell88 = cell23) <=> (cell23 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11384,plain,
% 2.55/2.62 ((Y!0 = cell23) <=> (cell88 = cell23)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11385,plain,
% 2.55/2.62 ((Y!0 = cell23) <=> (cell23 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11384, 11383])).
% 2.55/2.62 tff(11386,plain,
% 2.55/2.62 ((cell23 = cell88) <=> (Y!0 = cell23)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11385])).
% 2.55/2.62 tff(11387,plain,
% 2.55/2.62 ((~(cell23 = cell88)) <=> (~(Y!0 = cell23))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11386])).
% 2.55/2.62 tff(11388,plain,
% 2.55/2.62 ((~(cell23 = cell88)) <=> (~(cell23 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11389,axiom,(~(cell23 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49571')).
% 2.55/2.62 tff(11390,plain,
% 2.55/2.62 (~(cell23 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 2.55/2.62 tff(11391,plain,
% 2.55/2.62 (~(Y!0 = cell23)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11390, 11387])).
% 2.55/2.62 tff(11392,plain,
% 2.55/2.62 ((~(X!1 = cell24)) | (~(Y!0 = cell23))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8351, 11391])).
% 2.55/2.62 tff(11393,plain,
% 2.55/2.62 ((cell88 = cell24) <=> (cell24 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11394,plain,
% 2.55/2.62 ((Y!0 = cell24) <=> (cell88 = cell24)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11395,plain,
% 2.55/2.62 ((Y!0 = cell24) <=> (cell24 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11394, 11393])).
% 2.55/2.62 tff(11396,plain,
% 2.55/2.62 ((cell24 = cell88) <=> (Y!0 = cell24)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11395])).
% 2.55/2.62 tff(11397,plain,
% 2.55/2.62 ((~(cell24 = cell88)) <=> (~(Y!0 = cell24))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11396])).
% 2.55/2.62 tff(11398,plain,
% 2.55/2.62 ((~(cell24 = cell88)) <=> (~(cell24 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11399,axiom,(~(cell24 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49544')).
% 2.55/2.62 tff(11400,plain,
% 2.55/2.62 (~(cell24 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 2.55/2.62 tff(11401,plain,
% 2.55/2.62 (~(Y!0 = cell24)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11400, 11397])).
% 2.55/2.62 tff(11402,plain,
% 2.55/2.62 ((~(X!1 = cell25)) | (~(Y!0 = cell24))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8362, 11401])).
% 2.55/2.62 tff(11403,plain,
% 2.55/2.62 ((cell88 = cell25) <=> (cell25 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11404,plain,
% 2.55/2.62 ((Y!0 = cell25) <=> (cell88 = cell25)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11405,plain,
% 2.55/2.62 ((Y!0 = cell25) <=> (cell25 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11404, 11403])).
% 2.55/2.62 tff(11406,plain,
% 2.55/2.62 ((cell25 = cell88) <=> (Y!0 = cell25)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11405])).
% 2.55/2.62 tff(11407,plain,
% 2.55/2.62 ((~(cell25 = cell88)) <=> (~(Y!0 = cell25))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11406])).
% 2.55/2.62 tff(11408,plain,
% 2.55/2.62 ((~(cell25 = cell88)) <=> (~(cell25 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11409,axiom,(~(cell25 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49516')).
% 2.55/2.62 tff(11410,plain,
% 2.55/2.62 (~(cell25 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11409, 11408])).
% 2.55/2.62 tff(11411,plain,
% 2.55/2.62 (~(Y!0 = cell25)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11410, 11407])).
% 2.55/2.62 tff(11412,plain,
% 2.55/2.62 ((~(X!1 = cell26)) | (~(Y!0 = cell25))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8373, 11411])).
% 2.55/2.62 tff(11413,plain,
% 2.55/2.62 ((cell88 = cell26) <=> (cell26 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11414,plain,
% 2.55/2.62 ((Y!0 = cell26) <=> (cell88 = cell26)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11415,plain,
% 2.55/2.62 ((Y!0 = cell26) <=> (cell26 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11414, 11413])).
% 2.55/2.62 tff(11416,plain,
% 2.55/2.62 ((cell26 = cell88) <=> (Y!0 = cell26)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11415])).
% 2.55/2.62 tff(11417,plain,
% 2.55/2.62 ((~(cell26 = cell88)) <=> (~(Y!0 = cell26))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11416])).
% 2.55/2.62 tff(11418,plain,
% 2.55/2.62 ((~(cell26 = cell88)) <=> (~(cell26 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11419,axiom,(~(cell26 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49487')).
% 2.55/2.62 tff(11420,plain,
% 2.55/2.62 (~(cell26 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11419, 11418])).
% 2.55/2.62 tff(11421,plain,
% 2.55/2.62 (~(Y!0 = cell26)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11420, 11417])).
% 2.55/2.62 tff(11422,plain,
% 2.55/2.62 ((~(X!1 = cell27)) | (~(Y!0 = cell26))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8384, 11421])).
% 2.55/2.62 tff(11423,plain,
% 2.55/2.62 ((cell88 = cell27) <=> (cell27 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11424,plain,
% 2.55/2.62 ((Y!0 = cell27) <=> (cell88 = cell27)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11425,plain,
% 2.55/2.62 ((Y!0 = cell27) <=> (cell27 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11424, 11423])).
% 2.55/2.62 tff(11426,plain,
% 2.55/2.62 ((cell27 = cell88) <=> (Y!0 = cell27)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11425])).
% 2.55/2.62 tff(11427,plain,
% 2.55/2.62 ((~(cell27 = cell88)) <=> (~(Y!0 = cell27))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11426])).
% 2.55/2.62 tff(11428,plain,
% 2.55/2.62 ((~(cell27 = cell88)) <=> (~(cell27 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11429,axiom,(~(cell27 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49457')).
% 2.55/2.62 tff(11430,plain,
% 2.55/2.62 (~(cell27 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11429, 11428])).
% 2.55/2.62 tff(11431,plain,
% 2.55/2.62 (~(Y!0 = cell27)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11430, 11427])).
% 2.55/2.62 tff(11432,plain,
% 2.55/2.62 ((~(X!1 = cell28)) | (~(Y!0 = cell27))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8395, 11431])).
% 2.55/2.62 tff(11433,plain,
% 2.55/2.62 ((cell88 = cell28) <=> (cell28 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11434,plain,
% 2.55/2.62 ((Y!0 = cell28) <=> (cell88 = cell28)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11435,plain,
% 2.55/2.62 ((Y!0 = cell28) <=> (cell28 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11434, 11433])).
% 2.55/2.62 tff(11436,plain,
% 2.55/2.62 ((cell28 = cell88) <=> (Y!0 = cell28)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11435])).
% 2.55/2.62 tff(11437,plain,
% 2.55/2.62 ((~(cell28 = cell88)) <=> (~(Y!0 = cell28))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11436])).
% 2.55/2.62 tff(11438,plain,
% 2.55/2.62 ((~(cell28 = cell88)) <=> (~(cell28 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11439,axiom,(~(cell28 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49426')).
% 2.55/2.62 tff(11440,plain,
% 2.55/2.62 (~(cell28 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11439, 11438])).
% 2.55/2.62 tff(11441,plain,
% 2.55/2.62 (~(Y!0 = cell28)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11440, 11437])).
% 2.55/2.62 tff(11442,plain,
% 2.55/2.62 ((~(X!1 = cell29)) | (~(Y!0 = cell28))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8406, 11441])).
% 2.55/2.62 tff(11443,plain,
% 2.55/2.62 ((cell88 = cell29) <=> (cell29 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11444,plain,
% 2.55/2.62 ((Y!0 = cell29) <=> (cell88 = cell29)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11445,plain,
% 2.55/2.62 ((Y!0 = cell29) <=> (cell29 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11444, 11443])).
% 2.55/2.62 tff(11446,plain,
% 2.55/2.62 ((cell29 = cell88) <=> (Y!0 = cell29)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11445])).
% 2.55/2.62 tff(11447,plain,
% 2.55/2.62 ((~(cell29 = cell88)) <=> (~(Y!0 = cell29))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11446])).
% 2.55/2.62 tff(11448,plain,
% 2.55/2.62 ((~(cell29 = cell88)) <=> (~(cell29 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11449,axiom,(~(cell29 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49394')).
% 2.55/2.62 tff(11450,plain,
% 2.55/2.62 (~(cell29 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 2.55/2.62 tff(11451,plain,
% 2.55/2.62 (~(Y!0 = cell29)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11450, 11447])).
% 2.55/2.62 tff(11452,plain,
% 2.55/2.62 ((~(X!1 = cell30)) | (~(Y!0 = cell29))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8417, 11451])).
% 2.55/2.62 tff(11453,plain,
% 2.55/2.62 ((cell88 = cell31) <=> (cell31 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11454,plain,
% 2.55/2.62 ((Y!0 = cell31) <=> (cell88 = cell31)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11455,plain,
% 2.55/2.62 ((Y!0 = cell31) <=> (cell31 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11454, 11453])).
% 2.55/2.62 tff(11456,plain,
% 2.55/2.62 ((cell31 = cell88) <=> (Y!0 = cell31)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11455])).
% 2.55/2.62 tff(11457,plain,
% 2.55/2.62 ((~(cell31 = cell88)) <=> (~(Y!0 = cell31))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11456])).
% 2.55/2.62 tff(11458,plain,
% 2.55/2.62 ((~(cell31 = cell88)) <=> (~(cell31 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11459,axiom,(~(cell31 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49292')).
% 2.55/2.62 tff(11460,plain,
% 2.55/2.62 (~(cell31 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11459, 11458])).
% 2.55/2.62 tff(11461,plain,
% 2.55/2.62 (~(Y!0 = cell31)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11460, 11457])).
% 2.55/2.62 tff(11462,plain,
% 2.55/2.62 ((~(X!1 = cell32)) | (~(Y!0 = cell31))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8428, 11461])).
% 2.55/2.62 tff(11463,plain,
% 2.55/2.62 ((cell88 = cell32) <=> (cell32 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11464,plain,
% 2.55/2.62 ((Y!0 = cell32) <=> (cell88 = cell32)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11465,plain,
% 2.55/2.62 ((Y!0 = cell32) <=> (cell32 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11464, 11463])).
% 2.55/2.62 tff(11466,plain,
% 2.55/2.62 ((cell32 = cell88) <=> (Y!0 = cell32)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11465])).
% 2.55/2.62 tff(11467,plain,
% 2.55/2.62 ((~(cell32 = cell88)) <=> (~(Y!0 = cell32))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11466])).
% 2.55/2.62 tff(11468,plain,
% 2.55/2.62 ((~(cell32 = cell88)) <=> (~(cell32 = cell88))),
% 2.55/2.62 inference(rewrite,[status(thm)],[])).
% 2.55/2.62 tff(11469,axiom,(~(cell32 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49327')).
% 2.55/2.62 tff(11470,plain,
% 2.55/2.62 (~(cell32 = cell88)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11469, 11468])).
% 2.55/2.62 tff(11471,plain,
% 2.55/2.62 (~(Y!0 = cell32)),
% 2.55/2.62 inference(modus_ponens,[status(thm)],[11470, 11467])).
% 2.55/2.62 tff(11472,plain,
% 2.55/2.62 ((~(X!1 = cell33)) | (~(Y!0 = cell32))),
% 2.55/2.62 inference(unit_resolution,[status(thm)],[8439, 11471])).
% 2.55/2.62 tff(11473,plain,
% 2.55/2.62 ((cell88 = cell33) <=> (cell33 = cell88)),
% 2.55/2.62 inference(commutativity,[status(thm)],[])).
% 2.55/2.62 tff(11474,plain,
% 2.55/2.62 ((Y!0 = cell33) <=> (cell88 = cell33)),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.62 tff(11475,plain,
% 2.55/2.62 ((Y!0 = cell33) <=> (cell33 = cell88)),
% 2.55/2.62 inference(transitivity,[status(thm)],[11474, 11473])).
% 2.55/2.62 tff(11476,plain,
% 2.55/2.62 ((cell33 = cell88) <=> (Y!0 = cell33)),
% 2.55/2.62 inference(symmetry,[status(thm)],[11475])).
% 2.55/2.62 tff(11477,plain,
% 2.55/2.62 ((~(cell33 = cell88)) <=> (~(Y!0 = cell33))),
% 2.55/2.62 inference(monotonicity,[status(thm)],[11476])).
% 2.55/2.62 tff(11478,plain,
% 2.55/2.62 ((~(cell33 = cell88)) <=> (~(cell33 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11479,axiom,(~(cell33 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49256')).
% 2.55/2.63 tff(11480,plain,
% 2.55/2.63 (~(cell33 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11479, 11478])).
% 2.55/2.63 tff(11481,plain,
% 2.55/2.63 (~(Y!0 = cell33)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11480, 11477])).
% 2.55/2.63 tff(11482,plain,
% 2.55/2.63 ((~(X!1 = cell34)) | (~(Y!0 = cell33))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8450, 11481])).
% 2.55/2.63 tff(11483,plain,
% 2.55/2.63 ((cell88 = cell34) <=> (cell34 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11484,plain,
% 2.55/2.63 ((Y!0 = cell34) <=> (cell88 = cell34)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11485,plain,
% 2.55/2.63 ((Y!0 = cell34) <=> (cell34 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11484, 11483])).
% 2.55/2.63 tff(11486,plain,
% 2.55/2.63 ((cell34 = cell88) <=> (Y!0 = cell34)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11485])).
% 2.55/2.63 tff(11487,plain,
% 2.55/2.63 ((~(cell34 = cell88)) <=> (~(Y!0 = cell34))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11486])).
% 2.55/2.63 tff(11488,plain,
% 2.55/2.63 ((~(cell34 = cell88)) <=> (~(cell34 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11489,axiom,(~(cell34 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49219')).
% 2.55/2.63 tff(11490,plain,
% 2.55/2.63 (~(cell34 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11489, 11488])).
% 2.55/2.63 tff(11491,plain,
% 2.55/2.63 (~(Y!0 = cell34)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11490, 11487])).
% 2.55/2.63 tff(11492,plain,
% 2.55/2.63 ((~(X!1 = cell35)) | (~(Y!0 = cell34))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8461, 11491])).
% 2.55/2.63 tff(11493,plain,
% 2.55/2.63 ((cell88 = cell35) <=> (cell35 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11494,plain,
% 2.55/2.63 ((Y!0 = cell35) <=> (cell88 = cell35)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11495,plain,
% 2.55/2.63 ((Y!0 = cell35) <=> (cell35 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11494, 11493])).
% 2.55/2.63 tff(11496,plain,
% 2.55/2.63 ((cell35 = cell88) <=> (Y!0 = cell35)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11495])).
% 2.55/2.63 tff(11497,plain,
% 2.55/2.63 ((~(cell35 = cell88)) <=> (~(Y!0 = cell35))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11496])).
% 2.55/2.63 tff(11498,plain,
% 2.55/2.63 ((~(cell35 = cell88)) <=> (~(cell35 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11499,axiom,(~(cell35 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49181')).
% 2.55/2.63 tff(11500,plain,
% 2.55/2.63 (~(cell35 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11499, 11498])).
% 2.55/2.63 tff(11501,plain,
% 2.55/2.63 (~(Y!0 = cell35)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11500, 11497])).
% 2.55/2.63 tff(11502,plain,
% 2.55/2.63 ((~(X!1 = cell36)) | (~(Y!0 = cell35))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8472, 11501])).
% 2.55/2.63 tff(11503,plain,
% 2.55/2.63 ((cell88 = cell36) <=> (cell36 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11504,plain,
% 2.55/2.63 ((Y!0 = cell36) <=> (cell88 = cell36)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11505,plain,
% 2.55/2.63 ((Y!0 = cell36) <=> (cell36 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11504, 11503])).
% 2.55/2.63 tff(11506,plain,
% 2.55/2.63 ((cell36 = cell88) <=> (Y!0 = cell36)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11505])).
% 2.55/2.63 tff(11507,plain,
% 2.55/2.63 ((~(cell36 = cell88)) <=> (~(Y!0 = cell36))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11506])).
% 2.55/2.63 tff(11508,plain,
% 2.55/2.63 ((~(cell36 = cell88)) <=> (~(cell36 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11509,axiom,(~(cell36 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49142')).
% 2.55/2.63 tff(11510,plain,
% 2.55/2.63 (~(cell36 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11509, 11508])).
% 2.55/2.63 tff(11511,plain,
% 2.55/2.63 (~(Y!0 = cell36)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11510, 11507])).
% 2.55/2.63 tff(11512,plain,
% 2.55/2.63 ((~(X!1 = cell37)) | (~(Y!0 = cell36))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8483, 11511])).
% 2.55/2.63 tff(11513,plain,
% 2.55/2.63 ((cell88 = cell37) <=> (cell37 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11514,plain,
% 2.55/2.63 ((Y!0 = cell37) <=> (cell88 = cell37)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11515,plain,
% 2.55/2.63 ((Y!0 = cell37) <=> (cell37 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11514, 11513])).
% 2.55/2.63 tff(11516,plain,
% 2.55/2.63 ((cell37 = cell88) <=> (Y!0 = cell37)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11515])).
% 2.55/2.63 tff(11517,plain,
% 2.55/2.63 ((~(cell37 = cell88)) <=> (~(Y!0 = cell37))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11516])).
% 2.55/2.63 tff(11518,plain,
% 2.55/2.63 ((~(cell37 = cell88)) <=> (~(cell37 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11519,axiom,(~(cell37 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49102')).
% 2.55/2.63 tff(11520,plain,
% 2.55/2.63 (~(cell37 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 2.55/2.63 tff(11521,plain,
% 2.55/2.63 (~(Y!0 = cell37)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11520, 11517])).
% 2.55/2.63 tff(11522,plain,
% 2.55/2.63 ((~(X!1 = cell38)) | (~(Y!0 = cell37))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8494, 11521])).
% 2.55/2.63 tff(11523,plain,
% 2.55/2.63 ((cell88 = cell38) <=> (cell38 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11524,plain,
% 2.55/2.63 ((Y!0 = cell38) <=> (cell88 = cell38)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11525,plain,
% 2.55/2.63 ((Y!0 = cell38) <=> (cell38 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11524, 11523])).
% 2.55/2.63 tff(11526,plain,
% 2.55/2.63 ((cell38 = cell88) <=> (Y!0 = cell38)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11525])).
% 2.55/2.63 tff(11527,plain,
% 2.55/2.63 ((~(cell38 = cell88)) <=> (~(Y!0 = cell38))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11526])).
% 2.55/2.63 tff(11528,plain,
% 2.55/2.63 ((~(cell38 = cell88)) <=> (~(cell38 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11529,axiom,(~(cell38 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49061')).
% 2.55/2.63 tff(11530,plain,
% 2.55/2.63 (~(cell38 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11529, 11528])).
% 2.55/2.63 tff(11531,plain,
% 2.55/2.63 (~(Y!0 = cell38)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11530, 11527])).
% 2.55/2.63 tff(11532,plain,
% 2.55/2.63 ((~(X!1 = cell39)) | (~(Y!0 = cell38))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8505, 11531])).
% 2.55/2.63 tff(11533,plain,
% 2.55/2.63 ((cell88 = cell39) <=> (cell39 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11534,plain,
% 2.55/2.63 ((Y!0 = cell39) <=> (cell88 = cell39)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11535,plain,
% 2.55/2.63 ((Y!0 = cell39) <=> (cell39 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11534, 11533])).
% 2.55/2.63 tff(11536,plain,
% 2.55/2.63 ((cell39 = cell88) <=> (Y!0 = cell39)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11535])).
% 2.55/2.63 tff(11537,plain,
% 2.55/2.63 ((~(cell39 = cell88)) <=> (~(Y!0 = cell39))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11536])).
% 2.55/2.63 tff(11538,plain,
% 2.55/2.63 ((~(cell39 = cell88)) <=> (~(cell39 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11539,axiom,(~(cell39 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49019')).
% 2.55/2.63 tff(11540,plain,
% 2.55/2.63 (~(cell39 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11539, 11538])).
% 2.55/2.63 tff(11541,plain,
% 2.55/2.63 (~(Y!0 = cell39)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11540, 11537])).
% 2.55/2.63 tff(11542,plain,
% 2.55/2.63 ((~(X!1 = cell40)) | (~(Y!0 = cell39))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8516, 11541])).
% 2.55/2.63 tff(11543,plain,
% 2.55/2.63 ((cell88 = cell41) <=> (cell41 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11544,plain,
% 2.55/2.63 ((Y!0 = cell41) <=> (cell88 = cell41)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11545,plain,
% 2.55/2.63 ((Y!0 = cell41) <=> (cell41 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11544, 11543])).
% 2.55/2.63 tff(11546,plain,
% 2.55/2.63 ((cell41 = cell88) <=> (Y!0 = cell41)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11545])).
% 2.55/2.63 tff(11547,plain,
% 2.55/2.63 ((~(cell41 = cell88)) <=> (~(Y!0 = cell41))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11546])).
% 2.55/2.63 tff(11548,plain,
% 2.55/2.63 ((~(cell41 = cell88)) <=> (~(cell41 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11549,axiom,(~(cell41 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48887')).
% 2.55/2.63 tff(11550,plain,
% 2.55/2.63 (~(cell41 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11549, 11548])).
% 2.55/2.63 tff(11551,plain,
% 2.55/2.63 (~(Y!0 = cell41)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11550, 11547])).
% 2.55/2.63 tff(11552,plain,
% 2.55/2.63 ((~(X!1 = cell42)) | (~(Y!0 = cell41))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8527, 11551])).
% 2.55/2.63 tff(11553,plain,
% 2.55/2.63 ((cell88 = cell42) <=> (cell42 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11554,plain,
% 2.55/2.63 ((Y!0 = cell42) <=> (cell88 = cell42)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11555,plain,
% 2.55/2.63 ((Y!0 = cell42) <=> (cell42 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11554, 11553])).
% 2.55/2.63 tff(11556,plain,
% 2.55/2.63 ((cell42 = cell88) <=> (Y!0 = cell42)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11555])).
% 2.55/2.63 tff(11557,plain,
% 2.55/2.63 ((~(cell42 = cell88)) <=> (~(Y!0 = cell42))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11556])).
% 2.55/2.63 tff(11558,plain,
% 2.55/2.63 ((~(cell42 = cell88)) <=> (~(cell42 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11559,axiom,(~(cell42 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48932')).
% 2.55/2.63 tff(11560,plain,
% 2.55/2.63 (~(cell42 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11559, 11558])).
% 2.55/2.63 tff(11561,plain,
% 2.55/2.63 (~(Y!0 = cell42)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11560, 11557])).
% 2.55/2.63 tff(11562,plain,
% 2.55/2.63 ((~(X!1 = cell43)) | (~(Y!0 = cell42))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8538, 11561])).
% 2.55/2.63 tff(11563,plain,
% 2.55/2.63 ((cell88 = cell43) <=> (cell43 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11564,plain,
% 2.55/2.63 ((Y!0 = cell43) <=> (cell88 = cell43)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11565,plain,
% 2.55/2.63 ((Y!0 = cell43) <=> (cell43 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11564, 11563])).
% 2.55/2.63 tff(11566,plain,
% 2.55/2.63 ((cell43 = cell88) <=> (Y!0 = cell43)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11565])).
% 2.55/2.63 tff(11567,plain,
% 2.55/2.63 ((~(cell43 = cell88)) <=> (~(Y!0 = cell43))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11566])).
% 2.55/2.63 tff(11568,plain,
% 2.55/2.63 ((~(cell43 = cell88)) <=> (~(cell43 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11569,axiom,(~(cell43 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48841')).
% 2.55/2.63 tff(11570,plain,
% 2.55/2.63 (~(cell43 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11569, 11568])).
% 2.55/2.63 tff(11571,plain,
% 2.55/2.63 (~(Y!0 = cell43)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11570, 11567])).
% 2.55/2.63 tff(11572,plain,
% 2.55/2.63 ((~(X!1 = cell44)) | (~(Y!0 = cell43))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8549, 11571])).
% 2.55/2.63 tff(11573,plain,
% 2.55/2.63 ((cell88 = cell44) <=> (cell44 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11574,plain,
% 2.55/2.63 ((Y!0 = cell44) <=> (cell88 = cell44)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11575,plain,
% 2.55/2.63 ((Y!0 = cell44) <=> (cell44 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11574, 11573])).
% 2.55/2.63 tff(11576,plain,
% 2.55/2.63 ((cell44 = cell88) <=> (Y!0 = cell44)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11575])).
% 2.55/2.63 tff(11577,plain,
% 2.55/2.63 ((~(cell44 = cell88)) <=> (~(Y!0 = cell44))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11576])).
% 2.55/2.63 tff(11578,plain,
% 2.55/2.63 ((~(cell44 = cell88)) <=> (~(cell44 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11579,axiom,(~(cell44 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48794')).
% 2.55/2.63 tff(11580,plain,
% 2.55/2.63 (~(cell44 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11579, 11578])).
% 2.55/2.63 tff(11581,plain,
% 2.55/2.63 (~(Y!0 = cell44)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11580, 11577])).
% 2.55/2.63 tff(11582,plain,
% 2.55/2.63 ((~(X!1 = cell45)) | (~(Y!0 = cell44))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8560, 11581])).
% 2.55/2.63 tff(11583,plain,
% 2.55/2.63 ((cell88 = cell45) <=> (cell45 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11584,plain,
% 2.55/2.63 ((Y!0 = cell45) <=> (cell88 = cell45)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11585,plain,
% 2.55/2.63 ((Y!0 = cell45) <=> (cell45 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11584, 11583])).
% 2.55/2.63 tff(11586,plain,
% 2.55/2.63 ((cell45 = cell88) <=> (Y!0 = cell45)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11585])).
% 2.55/2.63 tff(11587,plain,
% 2.55/2.63 ((~(cell45 = cell88)) <=> (~(Y!0 = cell45))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11586])).
% 2.55/2.63 tff(11588,plain,
% 2.55/2.63 ((~(cell45 = cell88)) <=> (~(cell45 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11589,axiom,(~(cell45 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48746')).
% 2.55/2.63 tff(11590,plain,
% 2.55/2.63 (~(cell45 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 2.55/2.63 tff(11591,plain,
% 2.55/2.63 (~(Y!0 = cell45)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11590, 11587])).
% 2.55/2.63 tff(11592,plain,
% 2.55/2.63 ((~(X!1 = cell46)) | (~(Y!0 = cell45))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8571, 11591])).
% 2.55/2.63 tff(11593,plain,
% 2.55/2.63 ((cell88 = cell46) <=> (cell46 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11594,plain,
% 2.55/2.63 ((Y!0 = cell46) <=> (cell88 = cell46)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11595,plain,
% 2.55/2.63 ((Y!0 = cell46) <=> (cell46 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11594, 11593])).
% 2.55/2.63 tff(11596,plain,
% 2.55/2.63 ((cell46 = cell88) <=> (Y!0 = cell46)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11595])).
% 2.55/2.63 tff(11597,plain,
% 2.55/2.63 ((~(cell46 = cell88)) <=> (~(Y!0 = cell46))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11596])).
% 2.55/2.63 tff(11598,plain,
% 2.55/2.63 ((~(cell46 = cell88)) <=> (~(cell46 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11599,axiom,(~(cell46 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48697')).
% 2.55/2.63 tff(11600,plain,
% 2.55/2.63 (~(cell46 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11599, 11598])).
% 2.55/2.63 tff(11601,plain,
% 2.55/2.63 (~(Y!0 = cell46)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11600, 11597])).
% 2.55/2.63 tff(11602,plain,
% 2.55/2.63 ((~(X!1 = cell47)) | (~(Y!0 = cell46))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8582, 11601])).
% 2.55/2.63 tff(11603,plain,
% 2.55/2.63 ((cell88 = cell47) <=> (cell47 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11604,plain,
% 2.55/2.63 ((Y!0 = cell47) <=> (cell88 = cell47)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11605,plain,
% 2.55/2.63 ((Y!0 = cell47) <=> (cell47 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11604, 11603])).
% 2.55/2.63 tff(11606,plain,
% 2.55/2.63 ((cell47 = cell88) <=> (Y!0 = cell47)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11605])).
% 2.55/2.63 tff(11607,plain,
% 2.55/2.63 ((~(cell47 = cell88)) <=> (~(Y!0 = cell47))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11606])).
% 2.55/2.63 tff(11608,plain,
% 2.55/2.63 ((~(cell47 = cell88)) <=> (~(cell47 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11609,axiom,(~(cell47 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48647')).
% 2.55/2.63 tff(11610,plain,
% 2.55/2.63 (~(cell47 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11609, 11608])).
% 2.55/2.63 tff(11611,plain,
% 2.55/2.63 (~(Y!0 = cell47)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11610, 11607])).
% 2.55/2.63 tff(11612,plain,
% 2.55/2.63 ((~(X!1 = cell48)) | (~(Y!0 = cell47))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8593, 11611])).
% 2.55/2.63 tff(11613,plain,
% 2.55/2.63 ((cell88 = cell48) <=> (cell48 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11614,plain,
% 2.55/2.63 ((Y!0 = cell48) <=> (cell88 = cell48)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11615,plain,
% 2.55/2.63 ((Y!0 = cell48) <=> (cell48 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11614, 11613])).
% 2.55/2.63 tff(11616,plain,
% 2.55/2.63 ((cell48 = cell88) <=> (Y!0 = cell48)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11615])).
% 2.55/2.63 tff(11617,plain,
% 2.55/2.63 ((~(cell48 = cell88)) <=> (~(Y!0 = cell48))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11616])).
% 2.55/2.63 tff(11618,plain,
% 2.55/2.63 ((~(cell48 = cell88)) <=> (~(cell48 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11619,axiom,(~(cell48 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48596')).
% 2.55/2.63 tff(11620,plain,
% 2.55/2.63 (~(cell48 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 2.55/2.63 tff(11621,plain,
% 2.55/2.63 (~(Y!0 = cell48)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11620, 11617])).
% 2.55/2.63 tff(11622,plain,
% 2.55/2.63 ((~(X!1 = cell49)) | (~(Y!0 = cell48))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8604, 11621])).
% 2.55/2.63 tff(11623,plain,
% 2.55/2.63 ((cell88 = cell49) <=> (cell49 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11624,plain,
% 2.55/2.63 ((Y!0 = cell49) <=> (cell88 = cell49)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11625,plain,
% 2.55/2.63 ((Y!0 = cell49) <=> (cell49 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11624, 11623])).
% 2.55/2.63 tff(11626,plain,
% 2.55/2.63 ((cell49 = cell88) <=> (Y!0 = cell49)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11625])).
% 2.55/2.63 tff(11627,plain,
% 2.55/2.63 ((~(cell49 = cell88)) <=> (~(Y!0 = cell49))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11626])).
% 2.55/2.63 tff(11628,plain,
% 2.55/2.63 ((~(cell49 = cell88)) <=> (~(cell49 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11629,axiom,(~(cell49 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48544')).
% 2.55/2.63 tff(11630,plain,
% 2.55/2.63 (~(cell49 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11629, 11628])).
% 2.55/2.63 tff(11631,plain,
% 2.55/2.63 (~(Y!0 = cell49)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11630, 11627])).
% 2.55/2.63 tff(11632,plain,
% 2.55/2.63 ((~(X!1 = cell50)) | (~(Y!0 = cell49))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8615, 11631])).
% 2.55/2.63 tff(11633,plain,
% 2.55/2.63 ((cell88 = cell51) <=> (cell51 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11634,plain,
% 2.55/2.63 ((Y!0 = cell51) <=> (cell88 = cell51)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11635,plain,
% 2.55/2.63 ((Y!0 = cell51) <=> (cell51 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11634, 11633])).
% 2.55/2.63 tff(11636,plain,
% 2.55/2.63 ((cell51 = cell88) <=> (Y!0 = cell51)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11635])).
% 2.55/2.63 tff(11637,plain,
% 2.55/2.63 ((~(cell51 = cell88)) <=> (~(Y!0 = cell51))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11636])).
% 2.55/2.63 tff(11638,plain,
% 2.55/2.63 ((~(cell51 = cell88)) <=> (~(cell51 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11639,axiom,(~(cell51 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48382')).
% 2.55/2.63 tff(11640,plain,
% 2.55/2.63 (~(cell51 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 2.55/2.63 tff(11641,plain,
% 2.55/2.63 (~(Y!0 = cell51)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11640, 11637])).
% 2.55/2.63 tff(11642,plain,
% 2.55/2.63 ((~(X!1 = cell52)) | (~(Y!0 = cell51))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8626, 11641])).
% 2.55/2.63 tff(11643,plain,
% 2.55/2.63 ((cell88 = cell52) <=> (cell52 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11644,plain,
% 2.55/2.63 ((Y!0 = cell52) <=> (cell88 = cell52)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11645,plain,
% 2.55/2.63 ((Y!0 = cell52) <=> (cell52 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11644, 11643])).
% 2.55/2.63 tff(11646,plain,
% 2.55/2.63 ((cell52 = cell88) <=> (Y!0 = cell52)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11645])).
% 2.55/2.63 tff(11647,plain,
% 2.55/2.63 ((~(cell52 = cell88)) <=> (~(Y!0 = cell52))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11646])).
% 2.55/2.63 tff(11648,plain,
% 2.55/2.63 ((~(cell52 = cell88)) <=> (~(cell52 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11649,axiom,(~(cell52 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48437')).
% 2.55/2.63 tff(11650,plain,
% 2.55/2.63 (~(cell52 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11649, 11648])).
% 2.55/2.63 tff(11651,plain,
% 2.55/2.63 (~(Y!0 = cell52)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11650, 11647])).
% 2.55/2.63 tff(11652,plain,
% 2.55/2.63 ((~(X!1 = cell53)) | (~(Y!0 = cell52))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8637, 11651])).
% 2.55/2.63 tff(11653,plain,
% 2.55/2.63 ((cell88 = cell53) <=> (cell53 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11654,plain,
% 2.55/2.63 ((Y!0 = cell53) <=> (cell88 = cell53)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11655,plain,
% 2.55/2.63 ((Y!0 = cell53) <=> (cell53 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11654, 11653])).
% 2.55/2.63 tff(11656,plain,
% 2.55/2.63 ((cell53 = cell88) <=> (Y!0 = cell53)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11655])).
% 2.55/2.63 tff(11657,plain,
% 2.55/2.63 ((~(cell53 = cell88)) <=> (~(Y!0 = cell53))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11656])).
% 2.55/2.63 tff(11658,plain,
% 2.55/2.63 ((~(cell53 = cell88)) <=> (~(cell53 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11659,axiom,(~(cell53 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48326')).
% 2.55/2.63 tff(11660,plain,
% 2.55/2.63 (~(cell53 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11659, 11658])).
% 2.55/2.63 tff(11661,plain,
% 2.55/2.63 (~(Y!0 = cell53)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11660, 11657])).
% 2.55/2.63 tff(11662,plain,
% 2.55/2.63 ((~(X!1 = cell54)) | (~(Y!0 = cell53))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8648, 11661])).
% 2.55/2.63 tff(11663,plain,
% 2.55/2.63 ((cell88 = cell54) <=> (cell54 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11664,plain,
% 2.55/2.63 ((Y!0 = cell54) <=> (cell88 = cell54)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11665,plain,
% 2.55/2.63 ((Y!0 = cell54) <=> (cell54 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11664, 11663])).
% 2.55/2.63 tff(11666,plain,
% 2.55/2.63 ((cell54 = cell88) <=> (Y!0 = cell54)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11665])).
% 2.55/2.63 tff(11667,plain,
% 2.55/2.63 ((~(cell54 = cell88)) <=> (~(Y!0 = cell54))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11666])).
% 2.55/2.63 tff(11668,plain,
% 2.55/2.63 ((~(cell54 = cell88)) <=> (~(cell54 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11669,axiom,(~(cell54 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48269')).
% 2.55/2.63 tff(11670,plain,
% 2.55/2.63 (~(cell54 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11669, 11668])).
% 2.55/2.63 tff(11671,plain,
% 2.55/2.63 (~(Y!0 = cell54)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11670, 11667])).
% 2.55/2.63 tff(11672,plain,
% 2.55/2.63 ((~(X!1 = cell55)) | (~(Y!0 = cell54))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8659, 11671])).
% 2.55/2.63 tff(11673,plain,
% 2.55/2.63 ((cell88 = cell55) <=> (cell55 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11674,plain,
% 2.55/2.63 ((Y!0 = cell55) <=> (cell88 = cell55)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11675,plain,
% 2.55/2.63 ((Y!0 = cell55) <=> (cell55 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11674, 11673])).
% 2.55/2.63 tff(11676,plain,
% 2.55/2.63 ((cell55 = cell88) <=> (Y!0 = cell55)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11675])).
% 2.55/2.63 tff(11677,plain,
% 2.55/2.63 ((~(cell55 = cell88)) <=> (~(Y!0 = cell55))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11676])).
% 2.55/2.63 tff(11678,plain,
% 2.55/2.63 ((~(cell55 = cell88)) <=> (~(cell55 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11679,axiom,(~(cell55 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48211')).
% 2.55/2.63 tff(11680,plain,
% 2.55/2.63 (~(cell55 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11679, 11678])).
% 2.55/2.63 tff(11681,plain,
% 2.55/2.63 (~(Y!0 = cell55)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11680, 11677])).
% 2.55/2.63 tff(11682,plain,
% 2.55/2.63 ((~(X!1 = cell56)) | (~(Y!0 = cell55))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8670, 11681])).
% 2.55/2.63 tff(11683,plain,
% 2.55/2.63 ((cell88 = cell56) <=> (cell56 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11684,plain,
% 2.55/2.63 ((Y!0 = cell56) <=> (cell88 = cell56)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11685,plain,
% 2.55/2.63 ((Y!0 = cell56) <=> (cell56 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11684, 11683])).
% 2.55/2.63 tff(11686,plain,
% 2.55/2.63 ((cell56 = cell88) <=> (Y!0 = cell56)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11685])).
% 2.55/2.63 tff(11687,plain,
% 2.55/2.63 ((~(cell56 = cell88)) <=> (~(Y!0 = cell56))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11686])).
% 2.55/2.63 tff(11688,plain,
% 2.55/2.63 ((~(cell56 = cell88)) <=> (~(cell56 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11689,axiom,(~(cell56 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48152')).
% 2.55/2.63 tff(11690,plain,
% 2.55/2.63 (~(cell56 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11689, 11688])).
% 2.55/2.63 tff(11691,plain,
% 2.55/2.63 (~(Y!0 = cell56)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11690, 11687])).
% 2.55/2.63 tff(11692,plain,
% 2.55/2.63 ((~(X!1 = cell57)) | (~(Y!0 = cell56))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8681, 11691])).
% 2.55/2.63 tff(11693,plain,
% 2.55/2.63 ((cell88 = cell57) <=> (cell57 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11694,plain,
% 2.55/2.63 ((Y!0 = cell57) <=> (cell88 = cell57)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11695,plain,
% 2.55/2.63 ((Y!0 = cell57) <=> (cell57 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11694, 11693])).
% 2.55/2.63 tff(11696,plain,
% 2.55/2.63 ((cell57 = cell88) <=> (Y!0 = cell57)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11695])).
% 2.55/2.63 tff(11697,plain,
% 2.55/2.63 ((~(cell57 = cell88)) <=> (~(Y!0 = cell57))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11696])).
% 2.55/2.63 tff(11698,plain,
% 2.55/2.63 ((~(cell57 = cell88)) <=> (~(cell57 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11699,axiom,(~(cell57 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48092')).
% 2.55/2.63 tff(11700,plain,
% 2.55/2.63 (~(cell57 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11699, 11698])).
% 2.55/2.63 tff(11701,plain,
% 2.55/2.63 (~(Y!0 = cell57)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11700, 11697])).
% 2.55/2.63 tff(11702,plain,
% 2.55/2.63 ((~(X!1 = cell58)) | (~(Y!0 = cell57))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8692, 11701])).
% 2.55/2.63 tff(11703,plain,
% 2.55/2.63 ((cell88 = cell58) <=> (cell58 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11704,plain,
% 2.55/2.63 ((Y!0 = cell58) <=> (cell88 = cell58)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11705,plain,
% 2.55/2.63 ((Y!0 = cell58) <=> (cell58 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11704, 11703])).
% 2.55/2.63 tff(11706,plain,
% 2.55/2.63 ((cell58 = cell88) <=> (Y!0 = cell58)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11705])).
% 2.55/2.63 tff(11707,plain,
% 2.55/2.63 ((~(cell58 = cell88)) <=> (~(Y!0 = cell58))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11706])).
% 2.55/2.63 tff(11708,plain,
% 2.55/2.63 ((~(cell58 = cell88)) <=> (~(cell58 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11709,axiom,(~(cell58 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48031')).
% 2.55/2.63 tff(11710,plain,
% 2.55/2.63 (~(cell58 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 2.55/2.63 tff(11711,plain,
% 2.55/2.63 (~(Y!0 = cell58)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11710, 11707])).
% 2.55/2.63 tff(11712,plain,
% 2.55/2.63 ((~(X!1 = cell59)) | (~(Y!0 = cell58))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8703, 11711])).
% 2.55/2.63 tff(11713,plain,
% 2.55/2.63 ((cell88 = cell59) <=> (cell59 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11714,plain,
% 2.55/2.63 ((Y!0 = cell59) <=> (cell88 = cell59)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11715,plain,
% 2.55/2.63 ((Y!0 = cell59) <=> (cell59 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11714, 11713])).
% 2.55/2.63 tff(11716,plain,
% 2.55/2.63 ((cell59 = cell88) <=> (Y!0 = cell59)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11715])).
% 2.55/2.63 tff(11717,plain,
% 2.55/2.63 ((~(cell59 = cell88)) <=> (~(Y!0 = cell59))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11716])).
% 2.55/2.63 tff(11718,plain,
% 2.55/2.63 ((~(cell59 = cell88)) <=> (~(cell59 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11719,axiom,(~(cell59 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47969')).
% 2.55/2.63 tff(11720,plain,
% 2.55/2.63 (~(cell59 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11719, 11718])).
% 2.55/2.63 tff(11721,plain,
% 2.55/2.63 (~(Y!0 = cell59)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11720, 11717])).
% 2.55/2.63 tff(11722,plain,
% 2.55/2.63 ((~(X!1 = cell60)) | (~(Y!0 = cell59))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8714, 11721])).
% 2.55/2.63 tff(11723,plain,
% 2.55/2.63 ((cell88 = cell61) <=> (cell61 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11724,plain,
% 2.55/2.63 ((Y!0 = cell61) <=> (cell88 = cell61)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11725,plain,
% 2.55/2.63 ((Y!0 = cell61) <=> (cell61 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11724, 11723])).
% 2.55/2.63 tff(11726,plain,
% 2.55/2.63 ((cell61 = cell88) <=> (Y!0 = cell61)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11725])).
% 2.55/2.63 tff(11727,plain,
% 2.55/2.63 ((~(cell61 = cell88)) <=> (~(Y!0 = cell61))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11726])).
% 2.55/2.63 tff(11728,plain,
% 2.55/2.63 ((~(cell61 = cell88)) <=> (~(cell61 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11729,axiom,(~(cell61 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47777')).
% 2.55/2.63 tff(11730,plain,
% 2.55/2.63 (~(cell61 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 2.55/2.63 tff(11731,plain,
% 2.55/2.63 (~(Y!0 = cell61)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11730, 11727])).
% 2.55/2.63 tff(11732,plain,
% 2.55/2.63 ((~(X!1 = cell62)) | (~(Y!0 = cell61))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8725, 11731])).
% 2.55/2.63 tff(11733,plain,
% 2.55/2.63 ((cell88 = cell62) <=> (cell62 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11734,plain,
% 2.55/2.63 ((Y!0 = cell62) <=> (cell88 = cell62)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11735,plain,
% 2.55/2.63 ((Y!0 = cell62) <=> (cell62 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11734, 11733])).
% 2.55/2.63 tff(11736,plain,
% 2.55/2.63 ((cell62 = cell88) <=> (Y!0 = cell62)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11735])).
% 2.55/2.63 tff(11737,plain,
% 2.55/2.63 ((~(cell62 = cell88)) <=> (~(Y!0 = cell62))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11736])).
% 2.55/2.63 tff(11738,plain,
% 2.55/2.63 ((~(cell62 = cell88)) <=> (~(cell62 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11739,axiom,(~(cell62 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47842')).
% 2.55/2.63 tff(11740,plain,
% 2.55/2.63 (~(cell62 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11739, 11738])).
% 2.55/2.63 tff(11741,plain,
% 2.55/2.63 (~(Y!0 = cell62)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11740, 11737])).
% 2.55/2.63 tff(11742,plain,
% 2.55/2.63 ((~(X!1 = cell63)) | (~(Y!0 = cell62))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8736, 11741])).
% 2.55/2.63 tff(11743,plain,
% 2.55/2.63 ((cell88 = cell63) <=> (cell63 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11744,plain,
% 2.55/2.63 ((Y!0 = cell63) <=> (cell88 = cell63)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11745,plain,
% 2.55/2.63 ((Y!0 = cell63) <=> (cell63 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11744, 11743])).
% 2.55/2.63 tff(11746,plain,
% 2.55/2.63 ((cell63 = cell88) <=> (Y!0 = cell63)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11745])).
% 2.55/2.63 tff(11747,plain,
% 2.55/2.63 ((~(cell63 = cell88)) <=> (~(Y!0 = cell63))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11746])).
% 2.55/2.63 tff(11748,plain,
% 2.55/2.63 ((~(cell63 = cell88)) <=> (~(cell63 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11749,axiom,(~(cell63 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47711')).
% 2.55/2.63 tff(11750,plain,
% 2.55/2.63 (~(cell63 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11749, 11748])).
% 2.55/2.63 tff(11751,plain,
% 2.55/2.63 (~(Y!0 = cell63)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11750, 11747])).
% 2.55/2.63 tff(11752,plain,
% 2.55/2.63 ((~(X!1 = cell64)) | (~(Y!0 = cell63))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8747, 11751])).
% 2.55/2.63 tff(11753,plain,
% 2.55/2.63 ((cell88 = cell64) <=> (cell64 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11754,plain,
% 2.55/2.63 ((Y!0 = cell64) <=> (cell88 = cell64)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11755,plain,
% 2.55/2.63 ((Y!0 = cell64) <=> (cell64 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11754, 11753])).
% 2.55/2.63 tff(11756,plain,
% 2.55/2.63 ((cell64 = cell88) <=> (Y!0 = cell64)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11755])).
% 2.55/2.63 tff(11757,plain,
% 2.55/2.63 ((~(cell64 = cell88)) <=> (~(Y!0 = cell64))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11756])).
% 2.55/2.63 tff(11758,plain,
% 2.55/2.63 ((~(cell64 = cell88)) <=> (~(cell64 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11759,axiom,(~(cell64 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47644')).
% 2.55/2.63 tff(11760,plain,
% 2.55/2.63 (~(cell64 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11759, 11758])).
% 2.55/2.63 tff(11761,plain,
% 2.55/2.63 (~(Y!0 = cell64)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11760, 11757])).
% 2.55/2.63 tff(11762,plain,
% 2.55/2.63 ((~(X!1 = cell65)) | (~(Y!0 = cell64))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8758, 11761])).
% 2.55/2.63 tff(11763,plain,
% 2.55/2.63 ((cell88 = cell65) <=> (cell65 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11764,plain,
% 2.55/2.63 ((Y!0 = cell65) <=> (cell88 = cell65)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11765,plain,
% 2.55/2.63 ((Y!0 = cell65) <=> (cell65 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11764, 11763])).
% 2.55/2.63 tff(11766,plain,
% 2.55/2.63 ((cell65 = cell88) <=> (Y!0 = cell65)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11765])).
% 2.55/2.63 tff(11767,plain,
% 2.55/2.63 ((~(cell65 = cell88)) <=> (~(Y!0 = cell65))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11766])).
% 2.55/2.63 tff(11768,plain,
% 2.55/2.63 ((~(cell65 = cell88)) <=> (~(cell65 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11769,axiom,(~(cell65 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47576')).
% 2.55/2.63 tff(11770,plain,
% 2.55/2.63 (~(cell65 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11769, 11768])).
% 2.55/2.63 tff(11771,plain,
% 2.55/2.63 (~(Y!0 = cell65)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11770, 11767])).
% 2.55/2.63 tff(11772,plain,
% 2.55/2.63 ((~(X!1 = cell66)) | (~(Y!0 = cell65))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8769, 11771])).
% 2.55/2.63 tff(11773,plain,
% 2.55/2.63 ((cell88 = cell66) <=> (cell66 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11774,plain,
% 2.55/2.63 ((Y!0 = cell66) <=> (cell88 = cell66)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11775,plain,
% 2.55/2.63 ((Y!0 = cell66) <=> (cell66 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11774, 11773])).
% 2.55/2.63 tff(11776,plain,
% 2.55/2.63 ((cell66 = cell88) <=> (Y!0 = cell66)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11775])).
% 2.55/2.63 tff(11777,plain,
% 2.55/2.63 ((~(cell66 = cell88)) <=> (~(Y!0 = cell66))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11776])).
% 2.55/2.63 tff(11778,plain,
% 2.55/2.63 ((~(cell66 = cell88)) <=> (~(cell66 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11779,axiom,(~(cell66 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47507')).
% 2.55/2.63 tff(11780,plain,
% 2.55/2.63 (~(cell66 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11779, 11778])).
% 2.55/2.63 tff(11781,plain,
% 2.55/2.63 (~(Y!0 = cell66)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11780, 11777])).
% 2.55/2.63 tff(11782,plain,
% 2.55/2.63 ((~(X!1 = cell67)) | (~(Y!0 = cell66))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8780, 11781])).
% 2.55/2.63 tff(11783,plain,
% 2.55/2.63 ((cell88 = cell67) <=> (cell67 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11784,plain,
% 2.55/2.63 ((Y!0 = cell67) <=> (cell88 = cell67)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11785,plain,
% 2.55/2.63 ((Y!0 = cell67) <=> (cell67 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11784, 11783])).
% 2.55/2.63 tff(11786,plain,
% 2.55/2.63 ((cell67 = cell88) <=> (Y!0 = cell67)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11785])).
% 2.55/2.63 tff(11787,plain,
% 2.55/2.63 ((~(cell67 = cell88)) <=> (~(Y!0 = cell67))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11786])).
% 2.55/2.63 tff(11788,plain,
% 2.55/2.63 ((~(cell67 = cell88)) <=> (~(cell67 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11789,axiom,(~(cell67 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47437')).
% 2.55/2.63 tff(11790,plain,
% 2.55/2.63 (~(cell67 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11789, 11788])).
% 2.55/2.63 tff(11791,plain,
% 2.55/2.63 (~(Y!0 = cell67)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11790, 11787])).
% 2.55/2.63 tff(11792,plain,
% 2.55/2.63 ((~(X!1 = cell68)) | (~(Y!0 = cell67))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8791, 11791])).
% 2.55/2.63 tff(11793,plain,
% 2.55/2.63 ((cell88 = cell69) <=> (cell69 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11794,plain,
% 2.55/2.63 ((Y!0 = cell69) <=> (cell88 = cell69)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11795,plain,
% 2.55/2.63 ((Y!0 = cell69) <=> (cell69 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11794, 11793])).
% 2.55/2.63 tff(11796,plain,
% 2.55/2.63 ((cell69 = cell88) <=> (Y!0 = cell69)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11795])).
% 2.55/2.63 tff(11797,plain,
% 2.55/2.63 ((~(cell69 = cell88)) <=> (~(Y!0 = cell69))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11796])).
% 2.55/2.63 tff(11798,plain,
% 2.55/2.63 ((~(cell69 = cell88)) <=> (~(cell69 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11799,axiom,(~(cell69 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47294')).
% 2.55/2.63 tff(11800,plain,
% 2.55/2.63 (~(cell69 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 2.55/2.63 tff(11801,plain,
% 2.55/2.63 (~(Y!0 = cell69)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11800, 11797])).
% 2.55/2.63 tff(11802,plain,
% 2.55/2.63 ((~(X!1 = cell70)) | (~(Y!0 = cell69))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8804, 11801])).
% 2.55/2.63 tff(11803,plain,
% 2.55/2.63 ((cell88 = cell71) <=> (cell71 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11804,plain,
% 2.55/2.63 ((Y!0 = cell71) <=> (cell88 = cell71)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11805,plain,
% 2.55/2.63 ((Y!0 = cell71) <=> (cell71 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11804, 11803])).
% 2.55/2.63 tff(11806,plain,
% 2.55/2.63 ((cell71 = cell88) <=> (Y!0 = cell71)),
% 2.55/2.63 inference(symmetry,[status(thm)],[11805])).
% 2.55/2.63 tff(11807,plain,
% 2.55/2.63 ((~(cell71 = cell88)) <=> (~(Y!0 = cell71))),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11806])).
% 2.55/2.63 tff(11808,plain,
% 2.55/2.63 ((~(cell71 = cell88)) <=> (~(cell71 = cell88))),
% 2.55/2.63 inference(rewrite,[status(thm)],[])).
% 2.55/2.63 tff(11809,axiom,(~(cell71 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47072')).
% 2.55/2.63 tff(11810,plain,
% 2.55/2.63 (~(cell71 = cell88)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11809, 11808])).
% 2.55/2.63 tff(11811,plain,
% 2.55/2.63 (~(Y!0 = cell71)),
% 2.55/2.63 inference(modus_ponens,[status(thm)],[11810, 11807])).
% 2.55/2.63 tff(11812,plain,
% 2.55/2.63 ((~(X!1 = cell72)) | (~(Y!0 = cell71))),
% 2.55/2.63 inference(unit_resolution,[status(thm)],[8815, 11811])).
% 2.55/2.63 tff(11813,plain,
% 2.55/2.63 ((cell88 = cell72) <=> (cell72 = cell88)),
% 2.55/2.63 inference(commutativity,[status(thm)],[])).
% 2.55/2.63 tff(11814,plain,
% 2.55/2.63 ((Y!0 = cell72) <=> (cell88 = cell72)),
% 2.55/2.63 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.63 tff(11815,plain,
% 2.55/2.63 ((Y!0 = cell72) <=> (cell72 = cell88)),
% 2.55/2.63 inference(transitivity,[status(thm)],[11814, 11813])).
% 2.55/2.63 tff(11816,plain,
% 2.55/2.63 ((cell72 = cell88) <=> (Y!0 = cell72)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11815])).
% 2.55/2.64 tff(11817,plain,
% 2.55/2.64 ((~(cell72 = cell88)) <=> (~(Y!0 = cell72))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11816])).
% 2.55/2.64 tff(11818,plain,
% 2.55/2.64 ((~(cell72 = cell88)) <=> (~(cell72 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11819,axiom,(~(cell72 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47147')).
% 2.55/2.64 tff(11820,plain,
% 2.55/2.64 (~(cell72 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11819, 11818])).
% 2.55/2.64 tff(11821,plain,
% 2.55/2.64 (~(Y!0 = cell72)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11820, 11817])).
% 2.55/2.64 tff(11822,plain,
% 2.55/2.64 ((~(X!1 = cell73)) | (~(Y!0 = cell72))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8826, 11821])).
% 2.55/2.64 tff(11823,plain,
% 2.55/2.64 ((cell88 = cell73) <=> (cell73 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11824,plain,
% 2.55/2.64 ((Y!0 = cell73) <=> (cell88 = cell73)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11825,plain,
% 2.55/2.64 ((Y!0 = cell73) <=> (cell73 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11824, 11823])).
% 2.55/2.64 tff(11826,plain,
% 2.55/2.64 ((cell73 = cell88) <=> (Y!0 = cell73)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11825])).
% 2.55/2.64 tff(11827,plain,
% 2.55/2.64 ((~(cell73 = cell88)) <=> (~(Y!0 = cell73))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11826])).
% 2.55/2.64 tff(11828,plain,
% 2.55/2.64 ((~(cell73 = cell88)) <=> (~(cell73 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11829,axiom,(~(cell73 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46996')).
% 2.55/2.64 tff(11830,plain,
% 2.55/2.64 (~(cell73 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 2.55/2.64 tff(11831,plain,
% 2.55/2.64 (~(Y!0 = cell73)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11830, 11827])).
% 2.55/2.64 tff(11832,plain,
% 2.55/2.64 ((~(X!1 = cell74)) | (~(Y!0 = cell73))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8837, 11831])).
% 2.55/2.64 tff(11833,plain,
% 2.55/2.64 ((cell88 = cell74) <=> (cell74 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11834,plain,
% 2.55/2.64 ((Y!0 = cell74) <=> (cell88 = cell74)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11835,plain,
% 2.55/2.64 ((Y!0 = cell74) <=> (cell74 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11834, 11833])).
% 2.55/2.64 tff(11836,plain,
% 2.55/2.64 ((cell74 = cell88) <=> (Y!0 = cell74)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11835])).
% 2.55/2.64 tff(11837,plain,
% 2.55/2.64 ((~(cell74 = cell88)) <=> (~(Y!0 = cell74))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11836])).
% 2.55/2.64 tff(11838,plain,
% 2.55/2.64 ((~(cell74 = cell88)) <=> (~(cell74 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11839,axiom,(~(cell74 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46919')).
% 2.55/2.64 tff(11840,plain,
% 2.55/2.64 (~(cell74 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11839, 11838])).
% 2.55/2.64 tff(11841,plain,
% 2.55/2.64 (~(Y!0 = cell74)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11840, 11837])).
% 2.55/2.64 tff(11842,plain,
% 2.55/2.64 ((~(X!1 = cell75)) | (~(Y!0 = cell74))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8848, 11841])).
% 2.55/2.64 tff(11843,plain,
% 2.55/2.64 ((cell88 = cell75) <=> (cell75 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11844,plain,
% 2.55/2.64 ((Y!0 = cell75) <=> (cell88 = cell75)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11845,plain,
% 2.55/2.64 ((Y!0 = cell75) <=> (cell75 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11844, 11843])).
% 2.55/2.64 tff(11846,plain,
% 2.55/2.64 ((cell75 = cell88) <=> (Y!0 = cell75)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11845])).
% 2.55/2.64 tff(11847,plain,
% 2.55/2.64 ((~(cell75 = cell88)) <=> (~(Y!0 = cell75))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11846])).
% 2.55/2.64 tff(11848,plain,
% 2.55/2.64 ((~(cell75 = cell88)) <=> (~(cell75 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11849,axiom,(~(cell75 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46841')).
% 2.55/2.64 tff(11850,plain,
% 2.55/2.64 (~(cell75 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11849, 11848])).
% 2.55/2.64 tff(11851,plain,
% 2.55/2.64 (~(Y!0 = cell75)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11850, 11847])).
% 2.55/2.64 tff(11852,plain,
% 2.55/2.64 ((~(X!1 = cell76)) | (~(Y!0 = cell75))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8859, 11851])).
% 2.55/2.64 tff(11853,plain,
% 2.55/2.64 ((cell88 = cell76) <=> (cell76 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11854,plain,
% 2.55/2.64 ((Y!0 = cell76) <=> (cell88 = cell76)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11855,plain,
% 2.55/2.64 ((Y!0 = cell76) <=> (cell76 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11854, 11853])).
% 2.55/2.64 tff(11856,plain,
% 2.55/2.64 ((cell76 = cell88) <=> (Y!0 = cell76)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11855])).
% 2.55/2.64 tff(11857,plain,
% 2.55/2.64 ((~(cell76 = cell88)) <=> (~(Y!0 = cell76))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11856])).
% 2.55/2.64 tff(11858,plain,
% 2.55/2.64 ((~(cell76 = cell88)) <=> (~(cell76 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11859,axiom,(~(cell76 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46762')).
% 2.55/2.64 tff(11860,plain,
% 2.55/2.64 (~(cell76 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11859, 11858])).
% 2.55/2.64 tff(11861,plain,
% 2.55/2.64 (~(Y!0 = cell76)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11860, 11857])).
% 2.55/2.64 tff(11862,plain,
% 2.55/2.64 ((~(X!1 = cell77)) | (~(Y!0 = cell76))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8870, 11861])).
% 2.55/2.64 tff(11863,plain,
% 2.55/2.64 ((cell88 = cell78) <=> (cell78 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11864,plain,
% 2.55/2.64 ((Y!0 = cell78) <=> (cell88 = cell78)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11865,plain,
% 2.55/2.64 ((Y!0 = cell78) <=> (cell78 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11864, 11863])).
% 2.55/2.64 tff(11866,plain,
% 2.55/2.64 ((cell78 = cell88) <=> (Y!0 = cell78)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11865])).
% 2.55/2.64 tff(11867,plain,
% 2.55/2.64 ((~(cell78 = cell88)) <=> (~(Y!0 = cell78))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11866])).
% 2.55/2.64 tff(11868,plain,
% 2.55/2.64 ((~(cell78 = cell88)) <=> (~(cell78 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11869,axiom,(~(cell78 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46601')).
% 2.55/2.64 tff(11870,plain,
% 2.55/2.64 (~(cell78 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11869, 11868])).
% 2.55/2.64 tff(11871,plain,
% 2.55/2.64 (~(Y!0 = cell78)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11870, 11867])).
% 2.55/2.64 tff(11872,plain,
% 2.55/2.64 ((~(X!1 = cell79)) | (~(Y!0 = cell78))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8883, 11871])).
% 2.55/2.64 tff(11873,plain,
% 2.55/2.64 ((Y!0 = cell12) <=> (cell88 = cell12)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11874,plain,
% 2.55/2.64 ((cell88 = cell12) <=> (Y!0 = cell12)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11873])).
% 2.55/2.64 tff(11875,plain,
% 2.55/2.64 ((~(cell88 = cell12)) <=> (~(Y!0 = cell12))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11874])).
% 2.55/2.64 tff(11876,plain,
% 2.55/2.64 (~(Y!0 = cell12)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[3743, 11875])).
% 2.55/2.64 tff(11877,plain,
% 2.55/2.64 ((~(X!1 = cell22)) | (~(Y!0 = cell12))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8889, 11876])).
% 2.55/2.64 tff(11878,plain,
% 2.55/2.64 ((cell88 = cell81) <=> (cell81 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11879,plain,
% 2.55/2.64 ((Y!0 = cell81) <=> (cell88 = cell81)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11880,plain,
% 2.55/2.64 ((Y!0 = cell81) <=> (cell81 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11879, 11878])).
% 2.55/2.64 tff(11881,plain,
% 2.55/2.64 ((cell81 = cell88) <=> (Y!0 = cell81)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11880])).
% 2.55/2.64 tff(11882,plain,
% 2.55/2.64 ((~(cell81 = cell88)) <=> (~(Y!0 = cell81))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11881])).
% 2.55/2.64 tff(11883,plain,
% 2.55/2.64 ((~(cell81 = cell88)) <=> (~(cell81 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11884,axiom,(~(cell81 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46352')).
% 2.55/2.64 tff(11885,plain,
% 2.55/2.64 (~(cell81 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11884, 11883])).
% 2.55/2.64 tff(11886,plain,
% 2.55/2.64 (~(Y!0 = cell81)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11885, 11882])).
% 2.55/2.64 tff(11887,plain,
% 2.55/2.64 ((~(X!1 = cell82)) | (~(Y!0 = cell81))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8900, 11886])).
% 2.55/2.64 tff(11888,plain,
% 2.55/2.64 ((cell88 = cell82) <=> (cell82 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11889,plain,
% 2.55/2.64 ((Y!0 = cell82) <=> (cell88 = cell82)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11890,plain,
% 2.55/2.64 ((Y!0 = cell82) <=> (cell82 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11889, 11888])).
% 2.55/2.64 tff(11891,plain,
% 2.55/2.64 ((cell82 = cell88) <=> (Y!0 = cell82)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11890])).
% 2.55/2.64 tff(11892,plain,
% 2.55/2.64 ((~(cell82 = cell88)) <=> (~(Y!0 = cell82))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11891])).
% 2.55/2.64 tff(11893,plain,
% 2.55/2.64 ((~(cell82 = cell88)) <=> (~(cell82 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11894,axiom,(~(cell82 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46436')).
% 2.55/2.64 tff(11895,plain,
% 2.55/2.64 (~(cell82 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 2.55/2.64 tff(11896,plain,
% 2.55/2.64 (~(Y!0 = cell82)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11895, 11892])).
% 2.55/2.64 tff(11897,plain,
% 2.55/2.64 ((~(X!1 = cell83)) | (~(Y!0 = cell82))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8911, 11896])).
% 2.55/2.64 tff(11898,plain,
% 2.55/2.64 ((cell88 = cell83) <=> (cell83 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11899,plain,
% 2.55/2.64 ((Y!0 = cell83) <=> (cell88 = cell83)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11900,plain,
% 2.55/2.64 ((Y!0 = cell83) <=> (cell83 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11899, 11898])).
% 2.55/2.64 tff(11901,plain,
% 2.55/2.64 ((cell83 = cell88) <=> (Y!0 = cell83)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11900])).
% 2.55/2.64 tff(11902,plain,
% 2.55/2.64 ((~(cell83 = cell88)) <=> (~(Y!0 = cell83))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11901])).
% 2.55/2.64 tff(11903,plain,
% 2.55/2.64 ((~(cell83 = cell88)) <=> (~(cell83 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11904,axiom,(~(cell83 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46267')).
% 2.55/2.64 tff(11905,plain,
% 2.55/2.64 (~(cell83 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11904, 11903])).
% 2.55/2.64 tff(11906,plain,
% 2.55/2.64 (~(Y!0 = cell83)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11905, 11902])).
% 2.55/2.64 tff(11907,plain,
% 2.55/2.64 ((~(X!1 = cell84)) | (~(Y!0 = cell83))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8922, 11906])).
% 2.55/2.64 tff(11908,plain,
% 2.55/2.64 ((cell88 = cell84) <=> (cell84 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11909,plain,
% 2.55/2.64 ((Y!0 = cell84) <=> (cell88 = cell84)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11910,plain,
% 2.55/2.64 ((Y!0 = cell84) <=> (cell84 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11909, 11908])).
% 2.55/2.64 tff(11911,plain,
% 2.55/2.64 ((cell84 = cell88) <=> (Y!0 = cell84)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11910])).
% 2.55/2.64 tff(11912,plain,
% 2.55/2.64 ((~(cell84 = cell88)) <=> (~(Y!0 = cell84))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11911])).
% 2.55/2.64 tff(11913,plain,
% 2.55/2.64 ((~(cell84 = cell88)) <=> (~(cell84 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11914,axiom,(~(cell84 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46181')).
% 2.55/2.64 tff(11915,plain,
% 2.55/2.64 (~(cell84 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 2.55/2.64 tff(11916,plain,
% 2.55/2.64 (~(Y!0 = cell84)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11915, 11912])).
% 2.55/2.64 tff(11917,plain,
% 2.55/2.64 ((~(X!1 = cell85)) | (~(Y!0 = cell84))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8933, 11916])).
% 2.55/2.64 tff(11918,plain,
% 2.55/2.64 ((~(X!1 = cell86)) | (~(Y!0 = cell85))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8935, 11231])).
% 2.55/2.64 tff(11919,plain,
% 2.55/2.64 ((~(X!1 = cell87)) | (~(Y!0 = cell86))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8937, 11311])).
% 2.55/2.64 tff(11920,plain,
% 2.55/2.64 ((cell88 = cell91) <=> (cell91 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11921,plain,
% 2.55/2.64 ((Y!0 = cell91) <=> (cell88 = cell91)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11922,plain,
% 2.55/2.64 ((Y!0 = cell91) <=> (cell91 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11921, 11920])).
% 2.55/2.64 tff(11923,plain,
% 2.55/2.64 ((cell91 = cell88) <=> (Y!0 = cell91)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11922])).
% 2.55/2.64 tff(11924,plain,
% 2.55/2.64 ((~(cell91 = cell88)) <=> (~(Y!0 = cell91))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11923])).
% 2.55/2.64 tff(11925,plain,
% 2.55/2.64 ((~(cell91 = cell88)) <=> (~(cell91 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11926,axiom,(~(cell91 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45736')).
% 2.55/2.64 tff(11927,plain,
% 2.55/2.64 (~(cell91 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 2.55/2.64 tff(11928,plain,
% 2.55/2.64 (~(Y!0 = cell91)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11927, 11924])).
% 2.55/2.64 tff(11929,plain,
% 2.55/2.64 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8948, 11928])).
% 2.55/2.64 tff(11930,plain,
% 2.55/2.64 ((cell88 = cell92) <=> (cell92 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11931,plain,
% 2.55/2.64 ((Y!0 = cell92) <=> (cell88 = cell92)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11932,plain,
% 2.55/2.64 ((Y!0 = cell92) <=> (cell92 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11931, 11930])).
% 2.55/2.64 tff(11933,plain,
% 2.55/2.64 ((cell92 = cell88) <=> (Y!0 = cell92)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11932])).
% 2.55/2.64 tff(11934,plain,
% 2.55/2.64 ((~(cell92 = cell88)) <=> (~(Y!0 = cell92))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11933])).
% 2.55/2.64 tff(11935,plain,
% 2.55/2.64 ((~(cell92 = cell88)) <=> (~(cell92 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11936,axiom,(~(cell92 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45827')).
% 2.55/2.64 tff(11937,plain,
% 2.55/2.64 (~(cell92 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 2.55/2.64 tff(11938,plain,
% 2.55/2.64 (~(Y!0 = cell92)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11937, 11934])).
% 2.55/2.64 tff(11939,plain,
% 2.55/2.64 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8959, 11938])).
% 2.55/2.64 tff(11940,plain,
% 2.55/2.64 ((cell88 = cell93) <=> (cell93 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11941,plain,
% 2.55/2.64 ((Y!0 = cell93) <=> (cell88 = cell93)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11942,plain,
% 2.55/2.64 ((Y!0 = cell93) <=> (cell93 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11941, 11940])).
% 2.55/2.64 tff(11943,plain,
% 2.55/2.64 ((cell93 = cell88) <=> (Y!0 = cell93)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11942])).
% 2.55/2.64 tff(11944,plain,
% 2.55/2.64 ((~(cell93 = cell88)) <=> (~(Y!0 = cell93))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11943])).
% 2.55/2.64 tff(11945,plain,
% 2.55/2.64 ((~(cell93 = cell88)) <=> (~(cell93 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11946,axiom,(~(cell93 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45644')).
% 2.55/2.64 tff(11947,plain,
% 2.55/2.64 (~(cell93 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11946, 11945])).
% 2.55/2.64 tff(11948,plain,
% 2.55/2.64 (~(Y!0 = cell93)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11947, 11944])).
% 2.55/2.64 tff(11949,plain,
% 2.55/2.64 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8970, 11948])).
% 2.55/2.64 tff(11950,plain,
% 2.55/2.64 ((cell88 = cell94) <=> (cell94 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11951,plain,
% 2.55/2.64 ((Y!0 = cell94) <=> (cell88 = cell94)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11952,plain,
% 2.55/2.64 ((Y!0 = cell94) <=> (cell94 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11951, 11950])).
% 2.55/2.64 tff(11953,plain,
% 2.55/2.64 ((cell94 = cell88) <=> (Y!0 = cell94)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11952])).
% 2.55/2.64 tff(11954,plain,
% 2.55/2.64 ((~(cell94 = cell88)) <=> (~(Y!0 = cell94))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11953])).
% 2.55/2.64 tff(11955,plain,
% 2.55/2.64 ((~(cell94 = cell88)) <=> (~(cell94 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11956,axiom,(~(cell94 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45551')).
% 2.55/2.64 tff(11957,plain,
% 2.55/2.64 (~(cell94 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11956, 11955])).
% 2.55/2.64 tff(11958,plain,
% 2.55/2.64 (~(Y!0 = cell94)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11957, 11954])).
% 2.55/2.64 tff(11959,plain,
% 2.55/2.64 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8981, 11958])).
% 2.55/2.64 tff(11960,plain,
% 2.55/2.64 ((cell88 = cell95) <=> (cell95 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11961,plain,
% 2.55/2.64 ((Y!0 = cell95) <=> (cell88 = cell95)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11962,plain,
% 2.55/2.64 ((Y!0 = cell95) <=> (cell95 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11961, 11960])).
% 2.55/2.64 tff(11963,plain,
% 2.55/2.64 ((cell95 = cell88) <=> (Y!0 = cell95)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11962])).
% 2.55/2.64 tff(11964,plain,
% 2.55/2.64 ((~(cell95 = cell88)) <=> (~(Y!0 = cell95))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11963])).
% 2.55/2.64 tff(11965,plain,
% 2.55/2.64 ((~(cell95 = cell88)) <=> (~(cell95 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11966,axiom,(~(cell95 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45457')).
% 2.55/2.64 tff(11967,plain,
% 2.55/2.64 (~(cell95 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11966, 11965])).
% 2.55/2.64 tff(11968,plain,
% 2.55/2.64 (~(Y!0 = cell95)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11967, 11964])).
% 2.55/2.64 tff(11969,plain,
% 2.55/2.64 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[8992, 11968])).
% 2.55/2.64 tff(11970,plain,
% 2.55/2.64 ((cell88 = cell96) <=> (cell96 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11971,plain,
% 2.55/2.64 ((Y!0 = cell96) <=> (cell88 = cell96)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11972,plain,
% 2.55/2.64 ((Y!0 = cell96) <=> (cell96 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11971, 11970])).
% 2.55/2.64 tff(11973,plain,
% 2.55/2.64 ((cell96 = cell88) <=> (Y!0 = cell96)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11972])).
% 2.55/2.64 tff(11974,plain,
% 2.55/2.64 ((~(cell96 = cell88)) <=> (~(Y!0 = cell96))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11973])).
% 2.55/2.64 tff(11975,plain,
% 2.55/2.64 ((~(cell96 = cell88)) <=> (~(cell96 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11976,axiom,(~(cell96 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45362')).
% 2.55/2.64 tff(11977,plain,
% 2.55/2.64 (~(cell96 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11976, 11975])).
% 2.55/2.64 tff(11978,plain,
% 2.55/2.64 (~(Y!0 = cell96)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11977, 11974])).
% 2.55/2.64 tff(11979,plain,
% 2.55/2.64 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9003, 11978])).
% 2.55/2.64 tff(11980,plain,
% 2.55/2.64 ((cell88 = cell97) <=> (cell97 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11981,plain,
% 2.55/2.64 ((Y!0 = cell97) <=> (cell88 = cell97)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11982,plain,
% 2.55/2.64 ((Y!0 = cell97) <=> (cell97 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11981, 11980])).
% 2.55/2.64 tff(11983,plain,
% 2.55/2.64 ((cell97 = cell88) <=> (Y!0 = cell97)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11982])).
% 2.55/2.64 tff(11984,plain,
% 2.55/2.64 ((~(cell97 = cell88)) <=> (~(Y!0 = cell97))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11983])).
% 2.55/2.64 tff(11985,plain,
% 2.55/2.64 ((~(cell97 = cell88)) <=> (~(cell97 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11986,axiom,(~(cell97 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45266')).
% 2.55/2.64 tff(11987,plain,
% 2.55/2.64 (~(cell97 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11986, 11985])).
% 2.55/2.64 tff(11988,plain,
% 2.55/2.64 (~(Y!0 = cell97)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11987, 11984])).
% 2.55/2.64 tff(11989,plain,
% 2.55/2.64 ((~(X!1 = cell98)) | (~(Y!0 = cell97))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9014, 11988])).
% 2.55/2.64 tff(11990,plain,
% 2.55/2.64 ((cell88 = cell98) <=> (cell98 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(11991,plain,
% 2.55/2.64 ((Y!0 = cell98) <=> (cell88 = cell98)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(11992,plain,
% 2.55/2.64 ((Y!0 = cell98) <=> (cell98 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[11991, 11990])).
% 2.55/2.64 tff(11993,plain,
% 2.55/2.64 ((cell98 = cell88) <=> (Y!0 = cell98)),
% 2.55/2.64 inference(symmetry,[status(thm)],[11992])).
% 2.55/2.64 tff(11994,plain,
% 2.55/2.64 ((~(cell98 = cell88)) <=> (~(Y!0 = cell98))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11993])).
% 2.55/2.64 tff(11995,plain,
% 2.55/2.64 ((~(cell98 = cell88)) <=> (~(cell98 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(11996,axiom,(~(cell98 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45169')).
% 2.55/2.64 tff(11997,plain,
% 2.55/2.64 (~(cell98 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 2.55/2.64 tff(11998,plain,
% 2.55/2.64 (~(Y!0 = cell98)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[11997, 11994])).
% 2.55/2.64 tff(11999,plain,
% 2.55/2.64 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9025, 11998])).
% 2.55/2.64 tff(12000,plain,
% 2.55/2.64 ((cell88 = cell87) <=> (cell87 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(12001,plain,
% 2.55/2.64 ((Y!0 = cell87) <=> (cell88 = cell87)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12002,plain,
% 2.55/2.64 ((Y!0 = cell87) <=> (cell87 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[12001, 12000])).
% 2.55/2.64 tff(12003,plain,
% 2.55/2.64 ((cell87 = cell88) <=> (Y!0 = cell87)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12002])).
% 2.55/2.64 tff(12004,plain,
% 2.55/2.64 ((~(cell87 = cell88)) <=> (~(Y!0 = cell87))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12003])).
% 2.55/2.64 tff(12005,plain,
% 2.55/2.64 ((~(cell87 = cell88)) <=> (~(cell87 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(12006,axiom,(~(cell87 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45917')).
% 2.55/2.64 tff(12007,plain,
% 2.55/2.64 (~(cell87 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12006, 12005])).
% 2.55/2.64 tff(12008,plain,
% 2.55/2.64 (~(Y!0 = cell87)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12007, 12004])).
% 2.55/2.64 tff(12009,plain,
% 2.55/2.64 ((~(X!1 = cell97)) | (~(Y!0 = cell87))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9036, 12008])).
% 2.55/2.64 tff(12010,plain,
% 2.55/2.64 ((~(X!1 = cell14)) | (~(Y!0 = cell4))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9040, 11251])).
% 2.55/2.64 tff(12011,plain,
% 2.55/2.64 ((~(X!1 = cell15)) | (~(Y!0 = cell5))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9042, 11261])).
% 2.55/2.64 tff(12012,plain,
% 2.55/2.64 ((~(X!1 = cell16)) | (~(Y!0 = cell6))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9044, 11271])).
% 2.55/2.64 tff(12013,plain,
% 2.55/2.64 ((~(X!1 = cell17)) | (~(Y!0 = cell7))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9046, 11281])).
% 2.55/2.64 tff(12014,plain,
% 2.55/2.64 ((~(X!1 = cell18)) | (~(Y!0 = cell8))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9048, 11291])).
% 2.55/2.64 tff(12015,plain,
% 2.55/2.64 ((~(X!1 = cell19)) | (~(Y!0 = cell9))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9050, 11301])).
% 2.55/2.64 tff(12016,plain,
% 2.55/2.64 ((cell88 = cell10) <=> (cell10 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(12017,plain,
% 2.55/2.64 ((Y!0 = cell10) <=> (cell88 = cell10)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12018,plain,
% 2.55/2.64 ((Y!0 = cell10) <=> (cell10 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[12017, 12016])).
% 2.55/2.64 tff(12019,plain,
% 2.55/2.64 ((cell10 = cell88) <=> (Y!0 = cell10)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12018])).
% 2.55/2.64 tff(12020,plain,
% 2.55/2.64 ((~(cell10 = cell88)) <=> (~(Y!0 = cell10))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12019])).
% 2.55/2.64 tff(12021,plain,
% 2.55/2.64 ((~(cell10 = cell88)) <=> (~(cell10 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(12022,axiom,(~(cell10 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49769')).
% 2.55/2.64 tff(12023,plain,
% 2.55/2.64 (~(cell10 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12022, 12021])).
% 2.55/2.64 tff(12024,plain,
% 2.55/2.64 (~(Y!0 = cell10)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12023, 12020])).
% 2.55/2.64 tff(12025,plain,
% 2.55/2.64 ((~(X!1 = cell20)) | (~(Y!0 = cell10))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9061, 12024])).
% 2.55/2.64 tff(12026,plain,
% 2.55/2.64 ((Y!0 = cell11) <=> (cell88 = cell11)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12027,plain,
% 2.55/2.64 ((cell88 = cell11) <=> (Y!0 = cell11)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12026])).
% 2.55/2.64 tff(12028,plain,
% 2.55/2.64 ((~(cell88 = cell11)) <=> (~(Y!0 = cell11))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12027])).
% 2.55/2.64 tff(12029,plain,
% 2.55/2.64 (~(Y!0 = cell11)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[3801, 12028])).
% 2.55/2.64 tff(12030,plain,
% 2.55/2.64 ((~(X!1 = cell21)) | (~(Y!0 = cell11))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9083, 12029])).
% 2.55/2.64 tff(12031,plain,
% 2.55/2.64 ((~(X!1 = cell91)) | (~(Y!0 = cell81))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9085, 11886])).
% 2.55/2.64 tff(12032,plain,
% 2.55/2.64 ((~(X!1 = cell24)) | (~(Y!0 = cell14))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9087, 11321])).
% 2.55/2.64 tff(12033,plain,
% 2.55/2.64 ((~(X!1 = cell25)) | (~(Y!0 = cell15))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9089, 11331])).
% 2.55/2.64 tff(12034,plain,
% 2.55/2.64 ((~(X!1 = cell26)) | (~(Y!0 = cell16))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9091, 11341])).
% 2.55/2.64 tff(12035,plain,
% 2.55/2.64 ((~(X!1 = cell27)) | (~(Y!0 = cell17))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9093, 11351])).
% 2.55/2.64 tff(12036,plain,
% 2.55/2.64 ((~(X!1 = cell28)) | (~(Y!0 = cell18))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9095, 11361])).
% 2.55/2.64 tff(12037,plain,
% 2.55/2.64 ((~(X!1 = cell29)) | (~(Y!0 = cell19))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9097, 11371])).
% 2.55/2.64 tff(12038,plain,
% 2.55/2.64 ((cell88 = cell20) <=> (cell20 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(12039,plain,
% 2.55/2.64 ((Y!0 = cell20) <=> (cell88 = cell20)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12040,plain,
% 2.55/2.64 ((Y!0 = cell20) <=> (cell20 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[12039, 12038])).
% 2.55/2.64 tff(12041,plain,
% 2.55/2.64 ((cell20 = cell88) <=> (Y!0 = cell20)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12040])).
% 2.55/2.64 tff(12042,plain,
% 2.55/2.64 ((~(cell20 = cell88)) <=> (~(Y!0 = cell20))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12041])).
% 2.55/2.64 tff(12043,plain,
% 2.55/2.64 ((~(cell20 = cell88)) <=> (~(cell20 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(12044,axiom,(~(cell20 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49622')).
% 2.55/2.64 tff(12045,plain,
% 2.55/2.64 (~(cell20 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12044, 12043])).
% 2.55/2.64 tff(12046,plain,
% 2.55/2.64 (~(Y!0 = cell20)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12045, 12042])).
% 2.55/2.64 tff(12047,plain,
% 2.55/2.64 ((~(X!1 = cell30)) | (~(Y!0 = cell20))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9108, 12046])).
% 2.55/2.64 tff(12048,plain,
% 2.55/2.64 ((cell88 = cell21) <=> (cell21 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(12049,plain,
% 2.55/2.64 ((Y!0 = cell21) <=> (cell88 = cell21)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12050,plain,
% 2.55/2.64 ((Y!0 = cell21) <=> (cell21 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[12049, 12048])).
% 2.55/2.64 tff(12051,plain,
% 2.55/2.64 ((cell21 = cell88) <=> (Y!0 = cell21)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12050])).
% 2.55/2.64 tff(12052,plain,
% 2.55/2.64 ((~(cell21 = cell88)) <=> (~(Y!0 = cell21))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12051])).
% 2.55/2.64 tff(12053,plain,
% 2.55/2.64 ((~(cell21 = cell88)) <=> (~(cell21 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(12054,axiom,(~(cell21 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49597')).
% 2.55/2.64 tff(12055,plain,
% 2.55/2.64 (~(cell21 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12054, 12053])).
% 2.55/2.64 tff(12056,plain,
% 2.55/2.64 (~(Y!0 = cell21)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12055, 12052])).
% 2.55/2.64 tff(12057,plain,
% 2.55/2.64 ((~(X!1 = cell31)) | (~(Y!0 = cell21))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9119, 12056])).
% 2.55/2.64 tff(12058,plain,
% 2.55/2.64 ((~(X!1 = cell33)) | (~(Y!0 = cell23))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9121, 11391])).
% 2.55/2.64 tff(12059,plain,
% 2.55/2.64 ((~(X!1 = cell34)) | (~(Y!0 = cell24))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9123, 11401])).
% 2.55/2.64 tff(12060,plain,
% 2.55/2.64 ((~(X!1 = cell35)) | (~(Y!0 = cell25))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9125, 11411])).
% 2.55/2.64 tff(12061,plain,
% 2.55/2.64 ((~(X!1 = cell36)) | (~(Y!0 = cell26))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9127, 11421])).
% 2.55/2.64 tff(12062,plain,
% 2.55/2.64 ((~(X!1 = cell37)) | (~(Y!0 = cell27))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9129, 11431])).
% 2.55/2.64 tff(12063,plain,
% 2.55/2.64 ((~(X!1 = cell38)) | (~(Y!0 = cell28))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9131, 11441])).
% 2.55/2.64 tff(12064,plain,
% 2.55/2.64 ((~(X!1 = cell39)) | (~(Y!0 = cell29))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9133, 11451])).
% 2.55/2.64 tff(12065,plain,
% 2.55/2.64 ((cell88 = cell30) <=> (cell30 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(12066,plain,
% 2.55/2.64 ((Y!0 = cell30) <=> (cell88 = cell30)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12067,plain,
% 2.55/2.64 ((Y!0 = cell30) <=> (cell30 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[12066, 12065])).
% 2.55/2.64 tff(12068,plain,
% 2.55/2.64 ((cell30 = cell88) <=> (Y!0 = cell30)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12067])).
% 2.55/2.64 tff(12069,plain,
% 2.55/2.64 ((~(cell30 = cell88)) <=> (~(Y!0 = cell30))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12068])).
% 2.55/2.64 tff(12070,plain,
% 2.55/2.64 ((~(cell30 = cell88)) <=> (~(cell30 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(12071,axiom,(~(cell30 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49361')).
% 2.55/2.64 tff(12072,plain,
% 2.55/2.64 (~(cell30 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12071, 12070])).
% 2.55/2.64 tff(12073,plain,
% 2.55/2.64 (~(Y!0 = cell30)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12072, 12069])).
% 2.55/2.64 tff(12074,plain,
% 2.55/2.64 ((~(X!1 = cell40)) | (~(Y!0 = cell30))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9144, 12073])).
% 2.55/2.64 tff(12075,plain,
% 2.55/2.64 ((~(X!1 = cell41)) | (~(Y!0 = cell31))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9146, 11461])).
% 2.55/2.64 tff(12076,plain,
% 2.55/2.64 ((~(X!1 = cell42)) | (~(Y!0 = cell32))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9148, 11471])).
% 2.55/2.64 tff(12077,plain,
% 2.55/2.64 ((~(X!1 = cell43)) | (~(Y!0 = cell33))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9150, 11481])).
% 2.55/2.64 tff(12078,plain,
% 2.55/2.64 ((~(X!1 = cell44)) | (~(Y!0 = cell34))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9152, 11491])).
% 2.55/2.64 tff(12079,plain,
% 2.55/2.64 ((~(X!1 = cell45)) | (~(Y!0 = cell35))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9154, 11501])).
% 2.55/2.64 tff(12080,plain,
% 2.55/2.64 ((~(X!1 = cell46)) | (~(Y!0 = cell36))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9156, 11511])).
% 2.55/2.64 tff(12081,plain,
% 2.55/2.64 ((~(X!1 = cell47)) | (~(Y!0 = cell37))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9158, 11521])).
% 2.55/2.64 tff(12082,plain,
% 2.55/2.64 ((~(X!1 = cell48)) | (~(Y!0 = cell38))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9160, 11531])).
% 2.55/2.64 tff(12083,plain,
% 2.55/2.64 ((~(X!1 = cell49)) | (~(Y!0 = cell39))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9162, 11541])).
% 2.55/2.64 tff(12084,plain,
% 2.55/2.64 ((cell88 = cell40) <=> (cell40 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(12085,plain,
% 2.55/2.64 ((Y!0 = cell40) <=> (cell88 = cell40)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12086,plain,
% 2.55/2.64 ((Y!0 = cell40) <=> (cell40 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[12085, 12084])).
% 2.55/2.64 tff(12087,plain,
% 2.55/2.64 ((cell40 = cell88) <=> (Y!0 = cell40)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12086])).
% 2.55/2.64 tff(12088,plain,
% 2.55/2.64 ((~(cell40 = cell88)) <=> (~(Y!0 = cell40))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12087])).
% 2.55/2.64 tff(12089,plain,
% 2.55/2.64 ((~(cell40 = cell88)) <=> (~(cell40 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(12090,axiom,(~(cell40 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48976')).
% 2.55/2.64 tff(12091,plain,
% 2.55/2.64 (~(cell40 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12090, 12089])).
% 2.55/2.64 tff(12092,plain,
% 2.55/2.64 (~(Y!0 = cell40)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12091, 12088])).
% 2.55/2.64 tff(12093,plain,
% 2.55/2.64 ((~(X!1 = cell50)) | (~(Y!0 = cell40))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9173, 12092])).
% 2.55/2.64 tff(12094,plain,
% 2.55/2.64 ((~(X!1 = cell51)) | (~(Y!0 = cell41))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9175, 11551])).
% 2.55/2.64 tff(12095,plain,
% 2.55/2.64 ((~(X!1 = cell52)) | (~(Y!0 = cell42))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9177, 11561])).
% 2.55/2.64 tff(12096,plain,
% 2.55/2.64 ((~(X!1 = cell53)) | (~(Y!0 = cell43))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9179, 11571])).
% 2.55/2.64 tff(12097,plain,
% 2.55/2.64 ((~(X!1 = cell54)) | (~(Y!0 = cell44))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9181, 11581])).
% 2.55/2.64 tff(12098,plain,
% 2.55/2.64 ((~(X!1 = cell55)) | (~(Y!0 = cell45))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9183, 11591])).
% 2.55/2.64 tff(12099,plain,
% 2.55/2.64 ((~(X!1 = cell56)) | (~(Y!0 = cell46))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9185, 11601])).
% 2.55/2.64 tff(12100,plain,
% 2.55/2.64 ((~(X!1 = cell57)) | (~(Y!0 = cell47))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9187, 11611])).
% 2.55/2.64 tff(12101,plain,
% 2.55/2.64 ((~(X!1 = cell58)) | (~(Y!0 = cell48))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9189, 11621])).
% 2.55/2.64 tff(12102,plain,
% 2.55/2.64 ((~(X!1 = cell59)) | (~(Y!0 = cell49))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9191, 11631])).
% 2.55/2.64 tff(12103,plain,
% 2.55/2.64 ((cell88 = cell50) <=> (cell50 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(12104,plain,
% 2.55/2.64 ((Y!0 = cell50) <=> (cell88 = cell50)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12105,plain,
% 2.55/2.64 ((Y!0 = cell50) <=> (cell50 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[12104, 12103])).
% 2.55/2.64 tff(12106,plain,
% 2.55/2.64 ((cell50 = cell88) <=> (Y!0 = cell50)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12105])).
% 2.55/2.64 tff(12107,plain,
% 2.55/2.64 ((~(cell50 = cell88)) <=> (~(Y!0 = cell50))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12106])).
% 2.55/2.64 tff(12108,plain,
% 2.55/2.64 ((~(cell50 = cell88)) <=> (~(cell50 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(12109,axiom,(~(cell50 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48491')).
% 2.55/2.64 tff(12110,plain,
% 2.55/2.64 (~(cell50 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12109, 12108])).
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% 2.55/2.64 (~(Y!0 = cell50)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12110, 12107])).
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% 2.55/2.64 ((~(X!1 = cell60)) | (~(Y!0 = cell50))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9202, 12111])).
% 2.55/2.64 tff(12113,plain,
% 2.55/2.64 ((~(X!1 = cell61)) | (~(Y!0 = cell51))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9204, 11641])).
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% 2.55/2.64 ((~(X!1 = cell62)) | (~(Y!0 = cell52))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9206, 11651])).
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% 2.55/2.64 ((~(X!1 = cell63)) | (~(Y!0 = cell53))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9208, 11661])).
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% 2.55/2.64 ((~(X!1 = cell64)) | (~(Y!0 = cell54))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9210, 11671])).
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% 2.55/2.64 ((~(X!1 = cell65)) | (~(Y!0 = cell55))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9212, 11681])).
% 2.55/2.64 tff(12118,plain,
% 2.55/2.64 ((~(X!1 = cell66)) | (~(Y!0 = cell56))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9214, 11691])).
% 2.55/2.64 tff(12119,plain,
% 2.55/2.64 ((~(X!1 = cell67)) | (~(Y!0 = cell57))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9216, 11701])).
% 2.55/2.64 tff(12120,plain,
% 2.55/2.64 ((~(X!1 = cell68)) | (~(Y!0 = cell58))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9218, 11711])).
% 2.55/2.64 tff(12121,plain,
% 2.55/2.64 ((cell88 = cell60) <=> (cell60 = cell88)),
% 2.55/2.64 inference(commutativity,[status(thm)],[])).
% 2.55/2.64 tff(12122,plain,
% 2.55/2.64 ((Y!0 = cell60) <=> (cell88 = cell60)),
% 2.55/2.64 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.64 tff(12123,plain,
% 2.55/2.64 ((Y!0 = cell60) <=> (cell60 = cell88)),
% 2.55/2.64 inference(transitivity,[status(thm)],[12122, 12121])).
% 2.55/2.64 tff(12124,plain,
% 2.55/2.64 ((cell60 = cell88) <=> (Y!0 = cell60)),
% 2.55/2.64 inference(symmetry,[status(thm)],[12123])).
% 2.55/2.64 tff(12125,plain,
% 2.55/2.64 ((~(cell60 = cell88)) <=> (~(Y!0 = cell60))),
% 2.55/2.64 inference(monotonicity,[status(thm)],[12124])).
% 2.55/2.64 tff(12126,plain,
% 2.55/2.64 ((~(cell60 = cell88)) <=> (~(cell60 = cell88))),
% 2.55/2.64 inference(rewrite,[status(thm)],[])).
% 2.55/2.64 tff(12127,axiom,(~(cell60 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47906')).
% 2.55/2.64 tff(12128,plain,
% 2.55/2.64 (~(cell60 = cell88)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12127, 12126])).
% 2.55/2.64 tff(12129,plain,
% 2.55/2.64 (~(Y!0 = cell60)),
% 2.55/2.64 inference(modus_ponens,[status(thm)],[12128, 12125])).
% 2.55/2.64 tff(12130,plain,
% 2.55/2.64 ((~(X!1 = cell70)) | (~(Y!0 = cell60))),
% 2.55/2.64 inference(unit_resolution,[status(thm)],[9231, 12129])).
% 2.55/2.64 tff(12131,plain,
% 2.55/2.64 ((~(X!1 = cell71)) | (~(Y!0 = cell61))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9233, 11731])).
% 2.55/2.65 tff(12132,plain,
% 2.55/2.65 ((~(X!1 = cell72)) | (~(Y!0 = cell62))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9235, 11741])).
% 2.55/2.65 tff(12133,plain,
% 2.55/2.65 ((~(X!1 = cell73)) | (~(Y!0 = cell63))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9237, 11751])).
% 2.55/2.65 tff(12134,plain,
% 2.55/2.65 ((~(X!1 = cell74)) | (~(Y!0 = cell64))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9239, 11761])).
% 2.55/2.65 tff(12135,plain,
% 2.55/2.65 ((~(X!1 = cell75)) | (~(Y!0 = cell65))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9241, 11771])).
% 2.55/2.65 tff(12136,plain,
% 2.55/2.65 ((~(X!1 = cell76)) | (~(Y!0 = cell66))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9243, 11781])).
% 2.55/2.65 tff(12137,plain,
% 2.55/2.65 ((~(X!1 = cell77)) | (~(Y!0 = cell67))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9245, 11791])).
% 2.55/2.65 tff(12138,plain,
% 2.55/2.65 ((~(X!1 = cell79)) | (~(Y!0 = cell69))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9249, 11801])).
% 2.55/2.65 tff(12139,plain,
% 2.55/2.65 ((~(X!1 = cell81)) | (~(Y!0 = cell71))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9251, 11811])).
% 2.55/2.65 tff(12140,plain,
% 2.55/2.65 ((~(X!1 = cell82)) | (~(Y!0 = cell72))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9253, 11821])).
% 2.55/2.65 tff(12141,plain,
% 2.55/2.65 ((~(X!1 = cell83)) | (~(Y!0 = cell73))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9255, 11831])).
% 2.55/2.65 tff(12142,plain,
% 2.55/2.65 ((~(X!1 = cell84)) | (~(Y!0 = cell74))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9257, 11841])).
% 2.55/2.65 tff(12143,plain,
% 2.55/2.65 ((~(X!1 = cell85)) | (~(Y!0 = cell75))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9259, 11851])).
% 2.55/2.65 tff(12144,plain,
% 2.55/2.65 ((~(X!1 = cell86)) | (~(Y!0 = cell76))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9261, 11861])).
% 2.55/2.65 tff(12145,plain,
% 2.55/2.65 ((~(X!1 = cell94)) | (~(Y!0 = cell84))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[9263, 11916])).
% 2.55/2.65 tff(12146,plain,
% 2.55/2.65 ((Y!0 = cell90) <=> (cell88 = cell90)),
% 2.55/2.65 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.65 tff(12147,plain,
% 2.55/2.65 ((cell88 = cell90) <=> (Y!0 = cell90)),
% 2.55/2.65 inference(symmetry,[status(thm)],[12146])).
% 2.55/2.65 tff(12148,plain,
% 2.55/2.65 ((~(cell88 = cell90)) <=> (~(Y!0 = cell90))),
% 2.55/2.65 inference(monotonicity,[status(thm)],[12147])).
% 2.55/2.65 tff(12149,plain,
% 2.55/2.65 (~(Y!0 = cell90)),
% 2.55/2.65 inference(modus_ponens,[status(thm)],[10933, 12148])).
% 2.55/2.65 tff(12150,plain,
% 2.55/2.65 (((~(X!1 = cell100)) | (~(Y!0 = cell90))) | (Y!0 = cell90)),
% 2.55/2.65 inference(tautology,[status(thm)],[])).
% 2.55/2.65 tff(12151,plain,
% 2.55/2.65 ((~(X!1 = cell100)) | (~(Y!0 = cell90))),
% 2.55/2.65 inference(unit_resolution,[status(thm)],[12150, 12149])).
% 2.55/2.65 tff(12152,plain,
% 2.55/2.65 ((cell88 = cell80) <=> (cell80 = cell88)),
% 2.55/2.65 inference(commutativity,[status(thm)],[])).
% 2.55/2.65 tff(12153,plain,
% 2.55/2.65 ((Y!0 = cell80) <=> (cell88 = cell80)),
% 2.55/2.65 inference(monotonicity,[status(thm)],[11219])).
% 2.55/2.65 tff(12154,plain,
% 2.55/2.65 ((Y!0 = cell80) <=> (cell80 = cell88)),
% 2.55/2.65 inference(transitivity,[status(thm)],[12153, 12152])).
% 2.55/2.65 tff(12155,plain,
% 2.55/2.65 ((cell80 = cell88) <=> (Y!0 = cell80)),
% 2.55/2.65 inference(symmetry,[status(thm)],[12154])).
% 2.55/2.65 tff(12156,plain,
% 2.55/2.65 ((~(cell80 = cell88)) <=> (~(Y!0 = cell80))),
% 2.55/2.65 inference(monotonicity,[status(thm)],[12155])).
% 2.55/2.65 tff(12157,plain,
% 2.55/2.65 ((~(cell80 = cell88)) <=> (~(cell80 = cell88))),
% 2.55/2.65 inference(rewrite,[status(thm)],[])).
% 2.55/2.65 tff(12158,axiom,(~(cell80 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46519')).
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(~((~(X!1 = cell5)) | (~(cell88 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell88 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell88 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell88 = cell3)))) | (~((~(X!1 = cell1)) | (~(cell88 = cell2)))))),
% 2.64/2.67 inference(tautology,[status(thm)],[])).
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% 2.64/2.68 inference(unit_resolution,[status(thm)],[12237, 12236])).
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% 2.64/2.68 ((cell19 = cell88) <=> (cell88 = cell19)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11363])).
% 2.64/2.68 tff(12240,plain,
% 2.64/2.68 ((~(cell19 = cell88)) <=> (~(cell88 = cell19))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12239])).
% 2.64/2.68 tff(12241,plain,
% 2.64/2.68 (~(cell88 = cell19)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11370, 12240])).
% 2.64/2.68 tff(12242,plain,
% 2.64/2.68 (((~(X!1 = cell18)) | (~(cell88 = cell19))) | (cell88 = cell19)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12243,plain,
% 2.64/2.68 ((~(X!1 = cell18)) | (~(cell88 = cell19))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12242, 12241])).
% 2.64/2.68 tff(12244,plain,
% 2.64/2.68 ((cell20 = cell88) <=> (cell88 = cell20)),
% 2.64/2.68 inference(symmetry,[status(thm)],[12038])).
% 2.64/2.68 tff(12245,plain,
% 2.64/2.68 ((~(cell20 = cell88)) <=> (~(cell88 = cell20))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12244])).
% 2.64/2.68 tff(12246,plain,
% 2.64/2.68 (~(cell88 = cell20)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[12045, 12245])).
% 2.64/2.68 tff(12247,plain,
% 2.64/2.68 (((~(X!1 = cell19)) | (~(cell88 = cell20))) | (cell88 = cell20)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12248,plain,
% 2.64/2.68 ((~(X!1 = cell19)) | (~(cell88 = cell20))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12247, 12246])).
% 2.64/2.68 tff(12249,plain,
% 2.64/2.68 ((cell23 = cell88) <=> (cell88 = cell23)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11383])).
% 2.64/2.68 tff(12250,plain,
% 2.64/2.68 ((~(cell23 = cell88)) <=> (~(cell88 = cell23))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12249])).
% 2.64/2.68 tff(12251,plain,
% 2.64/2.68 (~(cell88 = cell23)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11390, 12250])).
% 2.64/2.68 tff(12252,plain,
% 2.64/2.68 (((~(X!1 = cell22)) | (~(cell88 = cell23))) | (cell88 = cell23)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12253,plain,
% 2.64/2.68 ((~(X!1 = cell22)) | (~(cell88 = cell23))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12252, 12251])).
% 2.64/2.68 tff(12254,plain,
% 2.64/2.68 ((cell24 = cell88) <=> (cell88 = cell24)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11393])).
% 2.64/2.68 tff(12255,plain,
% 2.64/2.68 ((~(cell24 = cell88)) <=> (~(cell88 = cell24))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12254])).
% 2.64/2.68 tff(12256,plain,
% 2.64/2.68 (~(cell88 = cell24)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11400, 12255])).
% 2.64/2.68 tff(12257,plain,
% 2.64/2.68 (((~(X!1 = cell23)) | (~(cell88 = cell24))) | (cell88 = cell24)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12258,plain,
% 2.64/2.68 ((~(X!1 = cell23)) | (~(cell88 = cell24))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12257, 12256])).
% 2.64/2.68 tff(12259,plain,
% 2.64/2.68 ((cell25 = cell88) <=> (cell88 = cell25)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11403])).
% 2.64/2.68 tff(12260,plain,
% 2.64/2.68 ((~(cell25 = cell88)) <=> (~(cell88 = cell25))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12259])).
% 2.64/2.68 tff(12261,plain,
% 2.64/2.68 (~(cell88 = cell25)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11410, 12260])).
% 2.64/2.68 tff(12262,plain,
% 2.64/2.68 (((~(X!1 = cell24)) | (~(cell88 = cell25))) | (cell88 = cell25)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12263,plain,
% 2.64/2.68 ((~(X!1 = cell24)) | (~(cell88 = cell25))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12262, 12261])).
% 2.64/2.68 tff(12264,plain,
% 2.64/2.68 ((cell26 = cell88) <=> (cell88 = cell26)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11413])).
% 2.64/2.68 tff(12265,plain,
% 2.64/2.68 ((~(cell26 = cell88)) <=> (~(cell88 = cell26))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12264])).
% 2.64/2.68 tff(12266,plain,
% 2.64/2.68 (~(cell88 = cell26)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11420, 12265])).
% 2.64/2.68 tff(12267,plain,
% 2.64/2.68 (((~(X!1 = cell25)) | (~(cell88 = cell26))) | (cell88 = cell26)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12268,plain,
% 2.64/2.68 ((~(X!1 = cell25)) | (~(cell88 = cell26))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12267, 12266])).
% 2.64/2.68 tff(12269,plain,
% 2.64/2.68 ((cell27 = cell88) <=> (cell88 = cell27)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11423])).
% 2.64/2.68 tff(12270,plain,
% 2.64/2.68 ((~(cell27 = cell88)) <=> (~(cell88 = cell27))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12269])).
% 2.64/2.68 tff(12271,plain,
% 2.64/2.68 (~(cell88 = cell27)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11430, 12270])).
% 2.64/2.68 tff(12272,plain,
% 2.64/2.68 (((~(X!1 = cell26)) | (~(cell88 = cell27))) | (cell88 = cell27)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12273,plain,
% 2.64/2.68 ((~(X!1 = cell26)) | (~(cell88 = cell27))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12272, 12271])).
% 2.64/2.68 tff(12274,plain,
% 2.64/2.68 ((cell28 = cell88) <=> (cell88 = cell28)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11433])).
% 2.64/2.68 tff(12275,plain,
% 2.64/2.68 ((~(cell28 = cell88)) <=> (~(cell88 = cell28))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12274])).
% 2.64/2.68 tff(12276,plain,
% 2.64/2.68 (~(cell88 = cell28)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11440, 12275])).
% 2.64/2.68 tff(12277,plain,
% 2.64/2.68 (((~(X!1 = cell27)) | (~(cell88 = cell28))) | (cell88 = cell28)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12278,plain,
% 2.64/2.68 ((~(X!1 = cell27)) | (~(cell88 = cell28))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12277, 12276])).
% 2.64/2.68 tff(12279,plain,
% 2.64/2.68 ((cell29 = cell88) <=> (cell88 = cell29)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11443])).
% 2.64/2.68 tff(12280,plain,
% 2.64/2.68 ((~(cell29 = cell88)) <=> (~(cell88 = cell29))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12279])).
% 2.64/2.68 tff(12281,plain,
% 2.64/2.68 (~(cell88 = cell29)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11450, 12280])).
% 2.64/2.68 tff(12282,plain,
% 2.64/2.68 (((~(X!1 = cell28)) | (~(cell88 = cell29))) | (cell88 = cell29)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12283,plain,
% 2.64/2.68 ((~(X!1 = cell28)) | (~(cell88 = cell29))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12282, 12281])).
% 2.64/2.68 tff(12284,plain,
% 2.64/2.68 ((cell30 = cell88) <=> (cell88 = cell30)),
% 2.64/2.68 inference(symmetry,[status(thm)],[12065])).
% 2.64/2.68 tff(12285,plain,
% 2.64/2.68 ((~(cell30 = cell88)) <=> (~(cell88 = cell30))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12284])).
% 2.64/2.68 tff(12286,plain,
% 2.64/2.68 (~(cell88 = cell30)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[12072, 12285])).
% 2.64/2.68 tff(12287,plain,
% 2.64/2.68 (((~(X!1 = cell29)) | (~(cell88 = cell30))) | (cell88 = cell30)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12288,plain,
% 2.64/2.68 ((~(X!1 = cell29)) | (~(cell88 = cell30))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12287, 12286])).
% 2.64/2.68 tff(12289,plain,
% 2.64/2.68 ((cell32 = cell88) <=> (cell88 = cell32)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11463])).
% 2.64/2.68 tff(12290,plain,
% 2.64/2.68 ((~(cell32 = cell88)) <=> (~(cell88 = cell32))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12289])).
% 2.64/2.68 tff(12291,plain,
% 2.64/2.68 (~(cell88 = cell32)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11470, 12290])).
% 2.64/2.68 tff(12292,plain,
% 2.64/2.68 (((~(X!1 = cell31)) | (~(cell88 = cell32))) | (cell88 = cell32)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12293,plain,
% 2.64/2.68 ((~(X!1 = cell31)) | (~(cell88 = cell32))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12292, 12291])).
% 2.64/2.68 tff(12294,plain,
% 2.64/2.68 ((cell33 = cell88) <=> (cell88 = cell33)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11473])).
% 2.64/2.68 tff(12295,plain,
% 2.64/2.68 ((~(cell33 = cell88)) <=> (~(cell88 = cell33))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12294])).
% 2.64/2.68 tff(12296,plain,
% 2.64/2.68 (~(cell88 = cell33)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11480, 12295])).
% 2.64/2.68 tff(12297,plain,
% 2.64/2.68 (((~(X!1 = cell32)) | (~(cell88 = cell33))) | (cell88 = cell33)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12298,plain,
% 2.64/2.68 ((~(X!1 = cell32)) | (~(cell88 = cell33))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12297, 12296])).
% 2.64/2.68 tff(12299,plain,
% 2.64/2.68 ((cell34 = cell88) <=> (cell88 = cell34)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11483])).
% 2.64/2.68 tff(12300,plain,
% 2.64/2.68 ((~(cell34 = cell88)) <=> (~(cell88 = cell34))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12299])).
% 2.64/2.68 tff(12301,plain,
% 2.64/2.68 (~(cell88 = cell34)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11490, 12300])).
% 2.64/2.68 tff(12302,plain,
% 2.64/2.68 (((~(X!1 = cell33)) | (~(cell88 = cell34))) | (cell88 = cell34)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12303,plain,
% 2.64/2.68 ((~(X!1 = cell33)) | (~(cell88 = cell34))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12302, 12301])).
% 2.64/2.68 tff(12304,plain,
% 2.64/2.68 ((cell35 = cell88) <=> (cell88 = cell35)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11493])).
% 2.64/2.68 tff(12305,plain,
% 2.64/2.68 ((~(cell35 = cell88)) <=> (~(cell88 = cell35))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12304])).
% 2.64/2.68 tff(12306,plain,
% 2.64/2.68 (~(cell88 = cell35)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11500, 12305])).
% 2.64/2.68 tff(12307,plain,
% 2.64/2.68 (((~(X!1 = cell34)) | (~(cell88 = cell35))) | (cell88 = cell35)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12308,plain,
% 2.64/2.68 ((~(X!1 = cell34)) | (~(cell88 = cell35))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12307, 12306])).
% 2.64/2.68 tff(12309,plain,
% 2.64/2.68 ((cell36 = cell88) <=> (cell88 = cell36)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11503])).
% 2.64/2.68 tff(12310,plain,
% 2.64/2.68 ((~(cell36 = cell88)) <=> (~(cell88 = cell36))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12309])).
% 2.64/2.68 tff(12311,plain,
% 2.64/2.68 (~(cell88 = cell36)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11510, 12310])).
% 2.64/2.68 tff(12312,plain,
% 2.64/2.68 (((~(X!1 = cell35)) | (~(cell88 = cell36))) | (cell88 = cell36)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12313,plain,
% 2.64/2.68 ((~(X!1 = cell35)) | (~(cell88 = cell36))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12312, 12311])).
% 2.64/2.68 tff(12314,plain,
% 2.64/2.68 ((cell37 = cell88) <=> (cell88 = cell37)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11513])).
% 2.64/2.68 tff(12315,plain,
% 2.64/2.68 ((~(cell37 = cell88)) <=> (~(cell88 = cell37))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12314])).
% 2.64/2.68 tff(12316,plain,
% 2.64/2.68 (~(cell88 = cell37)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11520, 12315])).
% 2.64/2.68 tff(12317,plain,
% 2.64/2.68 (((~(X!1 = cell36)) | (~(cell88 = cell37))) | (cell88 = cell37)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12318,plain,
% 2.64/2.68 ((~(X!1 = cell36)) | (~(cell88 = cell37))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12317, 12316])).
% 2.64/2.68 tff(12319,plain,
% 2.64/2.68 ((cell38 = cell88) <=> (cell88 = cell38)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11523])).
% 2.64/2.68 tff(12320,plain,
% 2.64/2.68 ((~(cell38 = cell88)) <=> (~(cell88 = cell38))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12319])).
% 2.64/2.68 tff(12321,plain,
% 2.64/2.68 (~(cell88 = cell38)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11530, 12320])).
% 2.64/2.68 tff(12322,plain,
% 2.64/2.68 (((~(X!1 = cell37)) | (~(cell88 = cell38))) | (cell88 = cell38)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12323,plain,
% 2.64/2.68 ((~(X!1 = cell37)) | (~(cell88 = cell38))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12322, 12321])).
% 2.64/2.68 tff(12324,plain,
% 2.64/2.68 ((cell39 = cell88) <=> (cell88 = cell39)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11533])).
% 2.64/2.68 tff(12325,plain,
% 2.64/2.68 ((~(cell39 = cell88)) <=> (~(cell88 = cell39))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12324])).
% 2.64/2.68 tff(12326,plain,
% 2.64/2.68 (~(cell88 = cell39)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11540, 12325])).
% 2.64/2.68 tff(12327,plain,
% 2.64/2.68 (((~(X!1 = cell38)) | (~(cell88 = cell39))) | (cell88 = cell39)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12328,plain,
% 2.64/2.68 ((~(X!1 = cell38)) | (~(cell88 = cell39))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12327, 12326])).
% 2.64/2.68 tff(12329,plain,
% 2.64/2.68 ((cell40 = cell88) <=> (cell88 = cell40)),
% 2.64/2.68 inference(symmetry,[status(thm)],[12084])).
% 2.64/2.68 tff(12330,plain,
% 2.64/2.68 ((~(cell40 = cell88)) <=> (~(cell88 = cell40))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12329])).
% 2.64/2.68 tff(12331,plain,
% 2.64/2.68 (~(cell88 = cell40)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[12091, 12330])).
% 2.64/2.68 tff(12332,plain,
% 2.64/2.68 (((~(X!1 = cell39)) | (~(cell88 = cell40))) | (cell88 = cell40)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12333,plain,
% 2.64/2.68 ((~(X!1 = cell39)) | (~(cell88 = cell40))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12332, 12331])).
% 2.64/2.68 tff(12334,plain,
% 2.64/2.68 ((cell42 = cell88) <=> (cell88 = cell42)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11553])).
% 2.64/2.68 tff(12335,plain,
% 2.64/2.68 ((~(cell42 = cell88)) <=> (~(cell88 = cell42))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12334])).
% 2.64/2.68 tff(12336,plain,
% 2.64/2.68 (~(cell88 = cell42)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11560, 12335])).
% 2.64/2.68 tff(12337,plain,
% 2.64/2.68 (((~(X!1 = cell41)) | (~(cell88 = cell42))) | (cell88 = cell42)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12338,plain,
% 2.64/2.68 ((~(X!1 = cell41)) | (~(cell88 = cell42))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12337, 12336])).
% 2.64/2.68 tff(12339,plain,
% 2.64/2.68 ((cell43 = cell88) <=> (cell88 = cell43)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11563])).
% 2.64/2.68 tff(12340,plain,
% 2.64/2.68 ((~(cell43 = cell88)) <=> (~(cell88 = cell43))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12339])).
% 2.64/2.68 tff(12341,plain,
% 2.64/2.68 (~(cell88 = cell43)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11570, 12340])).
% 2.64/2.68 tff(12342,plain,
% 2.64/2.68 (((~(X!1 = cell42)) | (~(cell88 = cell43))) | (cell88 = cell43)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12343,plain,
% 2.64/2.68 ((~(X!1 = cell42)) | (~(cell88 = cell43))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12342, 12341])).
% 2.64/2.68 tff(12344,plain,
% 2.64/2.68 ((cell44 = cell88) <=> (cell88 = cell44)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11573])).
% 2.64/2.68 tff(12345,plain,
% 2.64/2.68 ((~(cell44 = cell88)) <=> (~(cell88 = cell44))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12344])).
% 2.64/2.68 tff(12346,plain,
% 2.64/2.68 (~(cell88 = cell44)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11580, 12345])).
% 2.64/2.68 tff(12347,plain,
% 2.64/2.68 (((~(X!1 = cell43)) | (~(cell88 = cell44))) | (cell88 = cell44)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12348,plain,
% 2.64/2.68 ((~(X!1 = cell43)) | (~(cell88 = cell44))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12347, 12346])).
% 2.64/2.68 tff(12349,plain,
% 2.64/2.68 ((cell45 = cell88) <=> (cell88 = cell45)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11583])).
% 2.64/2.68 tff(12350,plain,
% 2.64/2.68 ((~(cell45 = cell88)) <=> (~(cell88 = cell45))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12349])).
% 2.64/2.68 tff(12351,plain,
% 2.64/2.68 (~(cell88 = cell45)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11590, 12350])).
% 2.64/2.68 tff(12352,plain,
% 2.64/2.68 (((~(X!1 = cell44)) | (~(cell88 = cell45))) | (cell88 = cell45)),
% 2.64/2.68 inference(tautology,[status(thm)],[])).
% 2.64/2.68 tff(12353,plain,
% 2.64/2.68 ((~(X!1 = cell44)) | (~(cell88 = cell45))),
% 2.64/2.68 inference(unit_resolution,[status(thm)],[12352, 12351])).
% 2.64/2.68 tff(12354,plain,
% 2.64/2.68 ((cell46 = cell88) <=> (cell88 = cell46)),
% 2.64/2.68 inference(symmetry,[status(thm)],[11593])).
% 2.64/2.68 tff(12355,plain,
% 2.64/2.68 ((~(cell46 = cell88)) <=> (~(cell88 = cell46))),
% 2.64/2.68 inference(monotonicity,[status(thm)],[12354])).
% 2.64/2.68 tff(12356,plain,
% 2.64/2.68 (~(cell88 = cell46)),
% 2.64/2.68 inference(modus_ponens,[status(thm)],[11600, 12355])).
% 2.64/2.69 tff(12357,plain,
% 2.64/2.69 (((~(X!1 = cell45)) | (~(cell88 = cell46))) | (cell88 = cell46)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12358,plain,
% 2.64/2.69 ((~(X!1 = cell45)) | (~(cell88 = cell46))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12357, 12356])).
% 2.64/2.69 tff(12359,plain,
% 2.64/2.69 ((cell47 = cell88) <=> (cell88 = cell47)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11603])).
% 2.64/2.69 tff(12360,plain,
% 2.64/2.69 ((~(cell47 = cell88)) <=> (~(cell88 = cell47))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12359])).
% 2.64/2.69 tff(12361,plain,
% 2.64/2.69 (~(cell88 = cell47)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11610, 12360])).
% 2.64/2.69 tff(12362,plain,
% 2.64/2.69 (((~(X!1 = cell46)) | (~(cell88 = cell47))) | (cell88 = cell47)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12363,plain,
% 2.64/2.69 ((~(X!1 = cell46)) | (~(cell88 = cell47))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12362, 12361])).
% 2.64/2.69 tff(12364,plain,
% 2.64/2.69 ((cell48 = cell88) <=> (cell88 = cell48)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11613])).
% 2.64/2.69 tff(12365,plain,
% 2.64/2.69 ((~(cell48 = cell88)) <=> (~(cell88 = cell48))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12364])).
% 2.64/2.69 tff(12366,plain,
% 2.64/2.69 (~(cell88 = cell48)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11620, 12365])).
% 2.64/2.69 tff(12367,plain,
% 2.64/2.69 (((~(X!1 = cell47)) | (~(cell88 = cell48))) | (cell88 = cell48)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12368,plain,
% 2.64/2.69 ((~(X!1 = cell47)) | (~(cell88 = cell48))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12367, 12366])).
% 2.64/2.69 tff(12369,plain,
% 2.64/2.69 ((cell49 = cell88) <=> (cell88 = cell49)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11623])).
% 2.64/2.69 tff(12370,plain,
% 2.64/2.69 ((~(cell49 = cell88)) <=> (~(cell88 = cell49))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12369])).
% 2.64/2.69 tff(12371,plain,
% 2.64/2.69 (~(cell88 = cell49)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11630, 12370])).
% 2.64/2.69 tff(12372,plain,
% 2.64/2.69 (((~(X!1 = cell48)) | (~(cell88 = cell49))) | (cell88 = cell49)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12373,plain,
% 2.64/2.69 ((~(X!1 = cell48)) | (~(cell88 = cell49))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12372, 12371])).
% 2.64/2.69 tff(12374,plain,
% 2.64/2.69 ((cell50 = cell88) <=> (cell88 = cell50)),
% 2.64/2.69 inference(symmetry,[status(thm)],[12103])).
% 2.64/2.69 tff(12375,plain,
% 2.64/2.69 ((~(cell50 = cell88)) <=> (~(cell88 = cell50))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12374])).
% 2.64/2.69 tff(12376,plain,
% 2.64/2.69 (~(cell88 = cell50)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12110, 12375])).
% 2.64/2.69 tff(12377,plain,
% 2.64/2.69 (((~(X!1 = cell49)) | (~(cell88 = cell50))) | (cell88 = cell50)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12378,plain,
% 2.64/2.69 ((~(X!1 = cell49)) | (~(cell88 = cell50))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12377, 12376])).
% 2.64/2.69 tff(12379,plain,
% 2.64/2.69 ((cell52 = cell88) <=> (cell88 = cell52)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11643])).
% 2.64/2.69 tff(12380,plain,
% 2.64/2.69 ((~(cell52 = cell88)) <=> (~(cell88 = cell52))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12379])).
% 2.64/2.69 tff(12381,plain,
% 2.64/2.69 (~(cell88 = cell52)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11650, 12380])).
% 2.64/2.69 tff(12382,plain,
% 2.64/2.69 (((~(X!1 = cell51)) | (~(cell88 = cell52))) | (cell88 = cell52)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12383,plain,
% 2.64/2.69 ((~(X!1 = cell51)) | (~(cell88 = cell52))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12382, 12381])).
% 2.64/2.69 tff(12384,plain,
% 2.64/2.69 ((cell53 = cell88) <=> (cell88 = cell53)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11653])).
% 2.64/2.69 tff(12385,plain,
% 2.64/2.69 ((~(cell53 = cell88)) <=> (~(cell88 = cell53))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12384])).
% 2.64/2.69 tff(12386,plain,
% 2.64/2.69 (~(cell88 = cell53)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11660, 12385])).
% 2.64/2.69 tff(12387,plain,
% 2.64/2.69 (((~(X!1 = cell52)) | (~(cell88 = cell53))) | (cell88 = cell53)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12388,plain,
% 2.64/2.69 ((~(X!1 = cell52)) | (~(cell88 = cell53))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12387, 12386])).
% 2.64/2.69 tff(12389,plain,
% 2.64/2.69 ((cell54 = cell88) <=> (cell88 = cell54)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11663])).
% 2.64/2.69 tff(12390,plain,
% 2.64/2.69 ((~(cell54 = cell88)) <=> (~(cell88 = cell54))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12389])).
% 2.64/2.69 tff(12391,plain,
% 2.64/2.69 (~(cell88 = cell54)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11670, 12390])).
% 2.64/2.69 tff(12392,plain,
% 2.64/2.69 (((~(X!1 = cell53)) | (~(cell88 = cell54))) | (cell88 = cell54)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12393,plain,
% 2.64/2.69 ((~(X!1 = cell53)) | (~(cell88 = cell54))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12392, 12391])).
% 2.64/2.69 tff(12394,plain,
% 2.64/2.69 ((cell55 = cell88) <=> (cell88 = cell55)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11673])).
% 2.64/2.69 tff(12395,plain,
% 2.64/2.69 ((~(cell55 = cell88)) <=> (~(cell88 = cell55))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12394])).
% 2.64/2.69 tff(12396,plain,
% 2.64/2.69 (~(cell88 = cell55)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11680, 12395])).
% 2.64/2.69 tff(12397,plain,
% 2.64/2.69 (((~(X!1 = cell54)) | (~(cell88 = cell55))) | (cell88 = cell55)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12398,plain,
% 2.64/2.69 ((~(X!1 = cell54)) | (~(cell88 = cell55))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12397, 12396])).
% 2.64/2.69 tff(12399,plain,
% 2.64/2.69 ((cell56 = cell88) <=> (cell88 = cell56)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11683])).
% 2.64/2.69 tff(12400,plain,
% 2.64/2.69 ((~(cell56 = cell88)) <=> (~(cell88 = cell56))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12399])).
% 2.64/2.69 tff(12401,plain,
% 2.64/2.69 (~(cell88 = cell56)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11690, 12400])).
% 2.64/2.69 tff(12402,plain,
% 2.64/2.69 (((~(X!1 = cell55)) | (~(cell88 = cell56))) | (cell88 = cell56)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12403,plain,
% 2.64/2.69 ((~(X!1 = cell55)) | (~(cell88 = cell56))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12402, 12401])).
% 2.64/2.69 tff(12404,plain,
% 2.64/2.69 ((cell57 = cell88) <=> (cell88 = cell57)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11693])).
% 2.64/2.69 tff(12405,plain,
% 2.64/2.69 ((~(cell57 = cell88)) <=> (~(cell88 = cell57))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12404])).
% 2.64/2.69 tff(12406,plain,
% 2.64/2.69 (~(cell88 = cell57)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11700, 12405])).
% 2.64/2.69 tff(12407,plain,
% 2.64/2.69 (((~(X!1 = cell56)) | (~(cell88 = cell57))) | (cell88 = cell57)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12408,plain,
% 2.64/2.69 ((~(X!1 = cell56)) | (~(cell88 = cell57))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12407, 12406])).
% 2.64/2.69 tff(12409,plain,
% 2.64/2.69 ((cell58 = cell88) <=> (cell88 = cell58)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11703])).
% 2.64/2.69 tff(12410,plain,
% 2.64/2.69 ((~(cell58 = cell88)) <=> (~(cell88 = cell58))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12409])).
% 2.64/2.69 tff(12411,plain,
% 2.64/2.69 (~(cell88 = cell58)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11710, 12410])).
% 2.64/2.69 tff(12412,plain,
% 2.64/2.69 (((~(X!1 = cell57)) | (~(cell88 = cell58))) | (cell88 = cell58)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12413,plain,
% 2.64/2.69 ((~(X!1 = cell57)) | (~(cell88 = cell58))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12412, 12411])).
% 2.64/2.69 tff(12414,plain,
% 2.64/2.69 ((cell59 = cell88) <=> (cell88 = cell59)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11713])).
% 2.64/2.69 tff(12415,plain,
% 2.64/2.69 ((~(cell59 = cell88)) <=> (~(cell88 = cell59))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12414])).
% 2.64/2.69 tff(12416,plain,
% 2.64/2.69 (~(cell88 = cell59)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11720, 12415])).
% 2.64/2.69 tff(12417,plain,
% 2.64/2.69 (((~(X!1 = cell58)) | (~(cell88 = cell59))) | (cell88 = cell59)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12418,plain,
% 2.64/2.69 ((~(X!1 = cell58)) | (~(cell88 = cell59))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12417, 12416])).
% 2.64/2.69 tff(12419,plain,
% 2.64/2.69 ((cell60 = cell88) <=> (cell88 = cell60)),
% 2.64/2.69 inference(symmetry,[status(thm)],[12121])).
% 2.64/2.69 tff(12420,plain,
% 2.64/2.69 ((~(cell60 = cell88)) <=> (~(cell88 = cell60))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12419])).
% 2.64/2.69 tff(12421,plain,
% 2.64/2.69 (~(cell88 = cell60)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12128, 12420])).
% 2.64/2.69 tff(12422,plain,
% 2.64/2.69 (((~(X!1 = cell59)) | (~(cell88 = cell60))) | (cell88 = cell60)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12423,plain,
% 2.64/2.69 ((~(X!1 = cell59)) | (~(cell88 = cell60))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12422, 12421])).
% 2.64/2.69 tff(12424,plain,
% 2.64/2.69 ((cell62 = cell88) <=> (cell88 = cell62)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11733])).
% 2.64/2.69 tff(12425,plain,
% 2.64/2.69 ((~(cell62 = cell88)) <=> (~(cell88 = cell62))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12424])).
% 2.64/2.69 tff(12426,plain,
% 2.64/2.69 (~(cell88 = cell62)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11740, 12425])).
% 2.64/2.69 tff(12427,plain,
% 2.64/2.69 (((~(X!1 = cell61)) | (~(cell88 = cell62))) | (cell88 = cell62)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12428,plain,
% 2.64/2.69 ((~(X!1 = cell61)) | (~(cell88 = cell62))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12427, 12426])).
% 2.64/2.69 tff(12429,plain,
% 2.64/2.69 ((cell63 = cell88) <=> (cell88 = cell63)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11743])).
% 2.64/2.69 tff(12430,plain,
% 2.64/2.69 ((~(cell63 = cell88)) <=> (~(cell88 = cell63))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12429])).
% 2.64/2.69 tff(12431,plain,
% 2.64/2.69 (~(cell88 = cell63)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11750, 12430])).
% 2.64/2.69 tff(12432,plain,
% 2.64/2.69 (((~(X!1 = cell62)) | (~(cell88 = cell63))) | (cell88 = cell63)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12433,plain,
% 2.64/2.69 ((~(X!1 = cell62)) | (~(cell88 = cell63))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12432, 12431])).
% 2.64/2.69 tff(12434,plain,
% 2.64/2.69 ((cell64 = cell88) <=> (cell88 = cell64)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11753])).
% 2.64/2.69 tff(12435,plain,
% 2.64/2.69 ((~(cell64 = cell88)) <=> (~(cell88 = cell64))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12434])).
% 2.64/2.69 tff(12436,plain,
% 2.64/2.69 (~(cell88 = cell64)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11760, 12435])).
% 2.64/2.69 tff(12437,plain,
% 2.64/2.69 (((~(X!1 = cell63)) | (~(cell88 = cell64))) | (cell88 = cell64)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12438,plain,
% 2.64/2.69 ((~(X!1 = cell63)) | (~(cell88 = cell64))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12437, 12436])).
% 2.64/2.69 tff(12439,plain,
% 2.64/2.69 ((cell65 = cell88) <=> (cell88 = cell65)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11763])).
% 2.64/2.69 tff(12440,plain,
% 2.64/2.69 ((~(cell65 = cell88)) <=> (~(cell88 = cell65))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12439])).
% 2.64/2.69 tff(12441,plain,
% 2.64/2.69 (~(cell88 = cell65)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11770, 12440])).
% 2.64/2.69 tff(12442,plain,
% 2.64/2.69 (((~(X!1 = cell64)) | (~(cell88 = cell65))) | (cell88 = cell65)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12443,plain,
% 2.64/2.69 ((~(X!1 = cell64)) | (~(cell88 = cell65))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12442, 12441])).
% 2.64/2.69 tff(12444,plain,
% 2.64/2.69 ((cell66 = cell88) <=> (cell88 = cell66)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11773])).
% 2.64/2.69 tff(12445,plain,
% 2.64/2.69 ((~(cell66 = cell88)) <=> (~(cell88 = cell66))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12444])).
% 2.64/2.69 tff(12446,plain,
% 2.64/2.69 (~(cell88 = cell66)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11780, 12445])).
% 2.64/2.69 tff(12447,plain,
% 2.64/2.69 (((~(X!1 = cell65)) | (~(cell88 = cell66))) | (cell88 = cell66)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12448,plain,
% 2.64/2.69 ((~(X!1 = cell65)) | (~(cell88 = cell66))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12447, 12446])).
% 2.64/2.69 tff(12449,plain,
% 2.64/2.69 ((cell67 = cell88) <=> (cell88 = cell67)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11783])).
% 2.64/2.69 tff(12450,plain,
% 2.64/2.69 ((~(cell67 = cell88)) <=> (~(cell88 = cell67))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12449])).
% 2.64/2.69 tff(12451,plain,
% 2.64/2.69 (~(cell88 = cell67)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11790, 12450])).
% 2.64/2.69 tff(12452,plain,
% 2.64/2.69 (((~(X!1 = cell66)) | (~(cell88 = cell67))) | (cell88 = cell67)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12453,plain,
% 2.64/2.69 ((~(X!1 = cell66)) | (~(cell88 = cell67))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12452, 12451])).
% 2.64/2.69 tff(12454,plain,
% 2.64/2.69 ((cell88 = cell68) <=> (cell68 = cell88)),
% 2.64/2.69 inference(commutativity,[status(thm)],[])).
% 2.64/2.69 tff(12455,plain,
% 2.64/2.69 ((cell68 = cell88) <=> (cell88 = cell68)),
% 2.64/2.69 inference(symmetry,[status(thm)],[12454])).
% 2.64/2.69 tff(12456,plain,
% 2.64/2.69 ((~(cell68 = cell88)) <=> (~(cell88 = cell68))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12455])).
% 2.64/2.69 tff(12457,plain,
% 2.64/2.69 ((~(cell68 = cell88)) <=> (~(cell68 = cell88))),
% 2.64/2.69 inference(rewrite,[status(thm)],[])).
% 2.64/2.69 tff(12458,axiom,(~(cell68 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47366')).
% 2.64/2.69 tff(12459,plain,
% 2.64/2.69 (~(cell68 = cell88)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 2.64/2.69 tff(12460,plain,
% 2.64/2.69 (~(cell88 = cell68)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12459, 12456])).
% 2.64/2.69 tff(12461,plain,
% 2.64/2.69 (((~(X!1 = cell67)) | (~(cell88 = cell68))) | (cell88 = cell68)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12462,plain,
% 2.64/2.69 ((~(X!1 = cell67)) | (~(cell88 = cell68))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12461, 12460])).
% 2.64/2.69 tff(12463,plain,
% 2.64/2.69 ((cell69 = cell88) <=> (cell88 = cell69)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11793])).
% 2.64/2.69 tff(12464,plain,
% 2.64/2.69 ((~(cell69 = cell88)) <=> (~(cell88 = cell69))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12463])).
% 2.64/2.69 tff(12465,plain,
% 2.64/2.69 (~(cell88 = cell69)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11800, 12464])).
% 2.64/2.69 tff(12466,plain,
% 2.64/2.69 (((~(X!1 = cell68)) | (~(cell88 = cell69))) | (cell88 = cell69)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12467,plain,
% 2.64/2.69 ((~(X!1 = cell68)) | (~(cell88 = cell69))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12466, 12465])).
% 2.64/2.69 tff(12468,plain,
% 2.64/2.69 ((cell72 = cell88) <=> (cell88 = cell72)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11813])).
% 2.64/2.69 tff(12469,plain,
% 2.64/2.69 ((~(cell72 = cell88)) <=> (~(cell88 = cell72))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12468])).
% 2.64/2.69 tff(12470,plain,
% 2.64/2.69 (~(cell88 = cell72)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11820, 12469])).
% 2.64/2.69 tff(12471,plain,
% 2.64/2.69 (((~(X!1 = cell71)) | (~(cell88 = cell72))) | (cell88 = cell72)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12472,plain,
% 2.64/2.69 ((~(X!1 = cell71)) | (~(cell88 = cell72))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12471, 12470])).
% 2.64/2.69 tff(12473,plain,
% 2.64/2.69 ((cell73 = cell88) <=> (cell88 = cell73)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11823])).
% 2.64/2.69 tff(12474,plain,
% 2.64/2.69 ((~(cell73 = cell88)) <=> (~(cell88 = cell73))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12473])).
% 2.64/2.69 tff(12475,plain,
% 2.64/2.69 (~(cell88 = cell73)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11830, 12474])).
% 2.64/2.69 tff(12476,plain,
% 2.64/2.69 (((~(X!1 = cell72)) | (~(cell88 = cell73))) | (cell88 = cell73)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12477,plain,
% 2.64/2.69 ((~(X!1 = cell72)) | (~(cell88 = cell73))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12476, 12475])).
% 2.64/2.69 tff(12478,plain,
% 2.64/2.69 ((cell74 = cell88) <=> (cell88 = cell74)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11833])).
% 2.64/2.69 tff(12479,plain,
% 2.64/2.69 ((~(cell74 = cell88)) <=> (~(cell88 = cell74))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12478])).
% 2.64/2.69 tff(12480,plain,
% 2.64/2.69 (~(cell88 = cell74)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11840, 12479])).
% 2.64/2.69 tff(12481,plain,
% 2.64/2.69 (((~(X!1 = cell73)) | (~(cell88 = cell74))) | (cell88 = cell74)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12482,plain,
% 2.64/2.69 ((~(X!1 = cell73)) | (~(cell88 = cell74))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12481, 12480])).
% 2.64/2.69 tff(12483,plain,
% 2.64/2.69 ((cell75 = cell88) <=> (cell88 = cell75)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11843])).
% 2.64/2.69 tff(12484,plain,
% 2.64/2.69 ((~(cell75 = cell88)) <=> (~(cell88 = cell75))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12483])).
% 2.64/2.69 tff(12485,plain,
% 2.64/2.69 (~(cell88 = cell75)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11850, 12484])).
% 2.64/2.69 tff(12486,plain,
% 2.64/2.69 (((~(X!1 = cell74)) | (~(cell88 = cell75))) | (cell88 = cell75)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12487,plain,
% 2.64/2.69 ((~(X!1 = cell74)) | (~(cell88 = cell75))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12486, 12485])).
% 2.64/2.69 tff(12488,plain,
% 2.64/2.69 ((cell76 = cell88) <=> (cell88 = cell76)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11853])).
% 2.64/2.69 tff(12489,plain,
% 2.64/2.69 ((~(cell76 = cell88)) <=> (~(cell88 = cell76))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12488])).
% 2.64/2.69 tff(12490,plain,
% 2.64/2.69 (~(cell88 = cell76)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11860, 12489])).
% 2.64/2.69 tff(12491,plain,
% 2.64/2.69 (((~(X!1 = cell75)) | (~(cell88 = cell76))) | (cell88 = cell76)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12492,plain,
% 2.64/2.69 ((~(X!1 = cell75)) | (~(cell88 = cell76))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12491, 12490])).
% 2.64/2.69 tff(12493,plain,
% 2.64/2.69 ((cell77 = cell88) <=> (cell88 = cell77)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11373])).
% 2.64/2.69 tff(12494,plain,
% 2.64/2.69 ((~(cell77 = cell88)) <=> (~(cell88 = cell77))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12493])).
% 2.64/2.69 tff(12495,plain,
% 2.64/2.69 (~(cell88 = cell77)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11380, 12494])).
% 2.64/2.69 tff(12496,plain,
% 2.64/2.69 (((~(X!1 = cell76)) | (~(cell88 = cell77))) | (cell88 = cell77)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12497,plain,
% 2.64/2.69 ((~(X!1 = cell76)) | (~(cell88 = cell77))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12496, 12495])).
% 2.64/2.69 tff(12498,plain,
% 2.64/2.69 ((cell78 = cell88) <=> (cell88 = cell78)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11863])).
% 2.64/2.69 tff(12499,plain,
% 2.64/2.69 ((~(cell78 = cell88)) <=> (~(cell88 = cell78))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12498])).
% 2.64/2.69 tff(12500,plain,
% 2.64/2.69 (~(cell88 = cell78)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11870, 12499])).
% 2.64/2.69 tff(12501,plain,
% 2.64/2.69 (((~(X!1 = cell77)) | (~(cell88 = cell78))) | (cell88 = cell78)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12502,plain,
% 2.64/2.69 ((~(X!1 = cell77)) | (~(cell88 = cell78))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12501, 12500])).
% 2.64/2.69 tff(12503,plain,
% 2.64/2.69 ((cell80 = cell88) <=> (cell88 = cell80)),
% 2.64/2.69 inference(symmetry,[status(thm)],[12152])).
% 2.64/2.69 tff(12504,plain,
% 2.64/2.69 ((~(cell80 = cell88)) <=> (~(cell88 = cell80))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12503])).
% 2.64/2.69 tff(12505,plain,
% 2.64/2.69 (~(cell88 = cell80)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12159, 12504])).
% 2.64/2.69 tff(12506,plain,
% 2.64/2.69 (((~(X!1 = cell79)) | (~(cell88 = cell80))) | (cell88 = cell80)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12507,plain,
% 2.64/2.69 ((~(X!1 = cell79)) | (~(cell88 = cell80))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12506, 12505])).
% 2.64/2.69 tff(12508,plain,
% 2.64/2.69 ((cell82 = cell88) <=> (cell88 = cell82)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11888])).
% 2.64/2.69 tff(12509,plain,
% 2.64/2.69 ((~(cell82 = cell88)) <=> (~(cell88 = cell82))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12508])).
% 2.64/2.69 tff(12510,plain,
% 2.64/2.69 (~(cell88 = cell82)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11895, 12509])).
% 2.64/2.69 tff(12511,plain,
% 2.64/2.69 (((~(X!1 = cell81)) | (~(cell88 = cell82))) | (cell88 = cell82)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12512,plain,
% 2.64/2.69 ((~(X!1 = cell81)) | (~(cell88 = cell82))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12511, 12510])).
% 2.64/2.69 tff(12513,plain,
% 2.64/2.69 ((cell83 = cell88) <=> (cell88 = cell83)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11898])).
% 2.64/2.69 tff(12514,plain,
% 2.64/2.69 ((~(cell83 = cell88)) <=> (~(cell88 = cell83))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12513])).
% 2.64/2.69 tff(12515,plain,
% 2.64/2.69 (~(cell88 = cell83)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11905, 12514])).
% 2.64/2.69 tff(12516,plain,
% 2.64/2.69 (((~(X!1 = cell82)) | (~(cell88 = cell83))) | (cell88 = cell83)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12517,plain,
% 2.64/2.69 ((~(X!1 = cell82)) | (~(cell88 = cell83))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12516, 12515])).
% 2.64/2.69 tff(12518,plain,
% 2.64/2.69 ((cell84 = cell88) <=> (cell88 = cell84)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11908])).
% 2.64/2.69 tff(12519,plain,
% 2.64/2.69 ((~(cell84 = cell88)) <=> (~(cell88 = cell84))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12518])).
% 2.64/2.69 tff(12520,plain,
% 2.64/2.69 (~(cell88 = cell84)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11915, 12519])).
% 2.64/2.69 tff(12521,plain,
% 2.64/2.69 (((~(X!1 = cell83)) | (~(cell88 = cell84))) | (cell88 = cell84)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12522,plain,
% 2.64/2.69 ((~(X!1 = cell83)) | (~(cell88 = cell84))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12521, 12520])).
% 2.64/2.69 tff(12523,plain,
% 2.64/2.69 ((cell85 = cell88) <=> (cell88 = cell85)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11223])).
% 2.64/2.69 tff(12524,plain,
% 2.64/2.69 ((~(cell85 = cell88)) <=> (~(cell88 = cell85))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12523])).
% 2.64/2.69 tff(12525,plain,
% 2.64/2.69 (~(cell88 = cell85)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11230, 12524])).
% 2.64/2.69 tff(12526,plain,
% 2.64/2.69 (((~(X!1 = cell84)) | (~(cell88 = cell85))) | (cell88 = cell85)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12527,plain,
% 2.64/2.69 ((~(X!1 = cell84)) | (~(cell88 = cell85))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12526, 12525])).
% 2.64/2.69 tff(12528,plain,
% 2.64/2.69 ((cell86 = cell88) <=> (cell88 = cell86)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11303])).
% 2.64/2.69 tff(12529,plain,
% 2.64/2.69 ((~(cell86 = cell88)) <=> (~(cell88 = cell86))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12528])).
% 2.64/2.69 tff(12530,plain,
% 2.64/2.69 (~(cell88 = cell86)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11310, 12529])).
% 2.64/2.69 tff(12531,plain,
% 2.64/2.69 (((~(X!1 = cell85)) | (~(cell88 = cell86))) | (cell88 = cell86)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12532,plain,
% 2.64/2.69 ((~(X!1 = cell85)) | (~(cell88 = cell86))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12531, 12530])).
% 2.64/2.69 tff(12533,plain,
% 2.64/2.69 ((cell87 = cell88) <=> (cell88 = cell87)),
% 2.64/2.69 inference(symmetry,[status(thm)],[12000])).
% 2.64/2.69 tff(12534,plain,
% 2.64/2.69 ((~(cell87 = cell88)) <=> (~(cell88 = cell87))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12533])).
% 2.64/2.69 tff(12535,plain,
% 2.64/2.69 (~(cell88 = cell87)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12007, 12534])).
% 2.64/2.69 tff(12536,plain,
% 2.64/2.69 (((~(X!1 = cell86)) | (~(cell88 = cell87))) | (cell88 = cell87)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12537,plain,
% 2.64/2.69 ((~(X!1 = cell86)) | (~(cell88 = cell87))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12536, 12535])).
% 2.64/2.69 tff(12538,plain,
% 2.64/2.69 ((cell92 = cell88) <=> (cell88 = cell92)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11930])).
% 2.64/2.69 tff(12539,plain,
% 2.64/2.69 ((~(cell92 = cell88)) <=> (~(cell88 = cell92))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12538])).
% 2.64/2.69 tff(12540,plain,
% 2.64/2.69 (~(cell88 = cell92)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11937, 12539])).
% 2.64/2.69 tff(12541,plain,
% 2.64/2.69 (((~(X!1 = cell91)) | (~(cell88 = cell92))) | (cell88 = cell92)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12542,plain,
% 2.64/2.69 ((~(X!1 = cell91)) | (~(cell88 = cell92))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12541, 12540])).
% 2.64/2.69 tff(12543,plain,
% 2.64/2.69 ((cell93 = cell88) <=> (cell88 = cell93)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11940])).
% 2.64/2.69 tff(12544,plain,
% 2.64/2.69 ((~(cell93 = cell88)) <=> (~(cell88 = cell93))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12543])).
% 2.64/2.69 tff(12545,plain,
% 2.64/2.69 (~(cell88 = cell93)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11947, 12544])).
% 2.64/2.69 tff(12546,plain,
% 2.64/2.69 (((~(X!1 = cell92)) | (~(cell88 = cell93))) | (cell88 = cell93)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12547,plain,
% 2.64/2.69 ((~(X!1 = cell92)) | (~(cell88 = cell93))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12546, 12545])).
% 2.64/2.69 tff(12548,plain,
% 2.64/2.69 ((cell94 = cell88) <=> (cell88 = cell94)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11950])).
% 2.64/2.69 tff(12549,plain,
% 2.64/2.69 ((~(cell94 = cell88)) <=> (~(cell88 = cell94))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12548])).
% 2.64/2.69 tff(12550,plain,
% 2.64/2.69 (~(cell88 = cell94)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11957, 12549])).
% 2.64/2.69 tff(12551,plain,
% 2.64/2.69 (((~(X!1 = cell93)) | (~(cell88 = cell94))) | (cell88 = cell94)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12552,plain,
% 2.64/2.69 ((~(X!1 = cell93)) | (~(cell88 = cell94))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12551, 12550])).
% 2.64/2.69 tff(12553,plain,
% 2.64/2.69 ((cell95 = cell88) <=> (cell88 = cell95)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11960])).
% 2.64/2.69 tff(12554,plain,
% 2.64/2.69 ((~(cell95 = cell88)) <=> (~(cell88 = cell95))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12553])).
% 2.64/2.69 tff(12555,plain,
% 2.64/2.69 (~(cell88 = cell95)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11967, 12554])).
% 2.64/2.69 tff(12556,plain,
% 2.64/2.69 (((~(X!1 = cell94)) | (~(cell88 = cell95))) | (cell88 = cell95)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12557,plain,
% 2.64/2.69 ((~(X!1 = cell94)) | (~(cell88 = cell95))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12556, 12555])).
% 2.64/2.69 tff(12558,plain,
% 2.64/2.69 ((cell96 = cell88) <=> (cell88 = cell96)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11970])).
% 2.64/2.69 tff(12559,plain,
% 2.64/2.69 ((~(cell96 = cell88)) <=> (~(cell88 = cell96))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12558])).
% 2.64/2.69 tff(12560,plain,
% 2.64/2.69 (~(cell88 = cell96)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11977, 12559])).
% 2.64/2.69 tff(12561,plain,
% 2.64/2.69 (((~(X!1 = cell95)) | (~(cell88 = cell96))) | (cell88 = cell96)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12562,plain,
% 2.64/2.69 ((~(X!1 = cell95)) | (~(cell88 = cell96))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12561, 12560])).
% 2.64/2.69 tff(12563,plain,
% 2.64/2.69 ((cell97 = cell88) <=> (cell88 = cell97)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11980])).
% 2.64/2.69 tff(12564,plain,
% 2.64/2.69 ((~(cell97 = cell88)) <=> (~(cell88 = cell97))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12563])).
% 2.64/2.69 tff(12565,plain,
% 2.64/2.69 (~(cell88 = cell97)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11987, 12564])).
% 2.64/2.69 tff(12566,plain,
% 2.64/2.69 (((~(X!1 = cell96)) | (~(cell88 = cell97))) | (cell88 = cell97)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12567,plain,
% 2.64/2.69 ((~(X!1 = cell96)) | (~(cell88 = cell97))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12566, 12565])).
% 2.64/2.69 tff(12568,plain,
% 2.64/2.69 ((cell98 = cell88) <=> (cell88 = cell98)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11990])).
% 2.64/2.69 tff(12569,plain,
% 2.64/2.69 ((~(cell98 = cell88)) <=> (~(cell88 = cell98))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12568])).
% 2.64/2.69 tff(12570,plain,
% 2.64/2.69 (~(cell88 = cell98)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11997, 12569])).
% 2.64/2.69 tff(12571,plain,
% 2.64/2.69 (((~(X!1 = cell97)) | (~(cell88 = cell98))) | (cell88 = cell98)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12572,plain,
% 2.64/2.69 ((~(X!1 = cell97)) | (~(cell88 = cell98))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12571, 12570])).
% 2.64/2.69 tff(12573,plain,
% 2.64/2.69 ((cell88 = cell100) <=> (cell100 = cell88)),
% 2.64/2.69 inference(commutativity,[status(thm)],[])).
% 2.64/2.69 tff(12574,plain,
% 2.64/2.69 ((cell100 = cell88) <=> (cell88 = cell100)),
% 2.64/2.69 inference(symmetry,[status(thm)],[12573])).
% 2.64/2.69 tff(12575,plain,
% 2.64/2.69 ((~(cell100 = cell88)) <=> (~(cell88 = cell100))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12574])).
% 2.64/2.69 tff(12576,plain,
% 2.64/2.69 ((~(cell100 = cell88)) <=> (~(cell100 = cell88))),
% 2.64/2.69 inference(rewrite,[status(thm)],[])).
% 2.64/2.69 tff(12577,axiom,(~(cell100 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45071')).
% 2.64/2.69 tff(12578,plain,
% 2.64/2.69 (~(cell100 = cell88)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 2.64/2.69 tff(12579,plain,
% 2.64/2.69 (~(cell88 = cell100)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12578, 12575])).
% 2.64/2.69 tff(12580,plain,
% 2.64/2.69 (((~(X!1 = cell99)) | (~(cell88 = cell100))) | (cell88 = cell100)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12581,plain,
% 2.64/2.69 ((~(X!1 = cell99)) | (~(cell88 = cell100))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12580, 12579])).
% 2.64/2.69 tff(12582,plain,
% 2.64/2.69 ((cell14 = cell88) <=> (cell88 = cell14)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11313])).
% 2.64/2.69 tff(12583,plain,
% 2.64/2.69 ((~(cell14 = cell88)) <=> (~(cell88 = cell14))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12582])).
% 2.64/2.69 tff(12584,plain,
% 2.64/2.69 (~(cell88 = cell14)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11320, 12583])).
% 2.64/2.69 tff(12585,plain,
% 2.64/2.69 (((~(X!1 = cell4)) | (~(cell88 = cell14))) | (cell88 = cell14)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12586,plain,
% 2.64/2.69 ((~(X!1 = cell4)) | (~(cell88 = cell14))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12585, 12584])).
% 2.64/2.69 tff(12587,plain,
% 2.64/2.69 (((~(X!1 = cell5)) | (~(cell88 = cell15))) | (cell88 = cell15)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12588,plain,
% 2.64/2.69 ((~(X!1 = cell5)) | (~(cell88 = cell15))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12587, 12221])).
% 2.64/2.69 tff(12589,plain,
% 2.64/2.69 (((~(X!1 = cell6)) | (~(cell88 = cell16))) | (cell88 = cell16)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12590,plain,
% 2.64/2.69 ((~(X!1 = cell6)) | (~(cell88 = cell16))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12589, 12226])).
% 2.64/2.69 tff(12591,plain,
% 2.64/2.69 (((~(X!1 = cell7)) | (~(cell88 = cell17))) | (cell88 = cell17)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12592,plain,
% 2.64/2.69 ((~(X!1 = cell7)) | (~(cell88 = cell17))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12591, 12231])).
% 2.64/2.69 tff(12593,plain,
% 2.64/2.69 (((~(X!1 = cell8)) | (~(cell88 = cell18))) | (cell88 = cell18)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12594,plain,
% 2.64/2.69 ((~(X!1 = cell8)) | (~(cell88 = cell18))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12593, 12236])).
% 2.64/2.69 tff(12595,plain,
% 2.64/2.69 (((~(X!1 = cell9)) | (~(cell88 = cell19))) | (cell88 = cell19)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12596,plain,
% 2.64/2.69 ((~(X!1 = cell9)) | (~(cell88 = cell19))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12595, 12241])).
% 2.64/2.69 tff(12597,plain,
% 2.64/2.69 (((~(X!1 = cell10)) | (~(cell88 = cell20))) | (cell88 = cell20)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12598,plain,
% 2.64/2.69 ((~(X!1 = cell10)) | (~(cell88 = cell20))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12597, 12246])).
% 2.64/2.69 tff(12599,plain,
% 2.64/2.69 ((cell21 = cell88) <=> (cell88 = cell21)),
% 2.64/2.69 inference(symmetry,[status(thm)],[12048])).
% 2.64/2.69 tff(12600,plain,
% 2.64/2.69 ((~(cell21 = cell88)) <=> (~(cell88 = cell21))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12599])).
% 2.64/2.69 tff(12601,plain,
% 2.64/2.69 (~(cell88 = cell21)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[12055, 12600])).
% 2.64/2.69 tff(12602,plain,
% 2.64/2.69 (((~(X!1 = cell11)) | (~(cell88 = cell21))) | (cell88 = cell21)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12603,plain,
% 2.64/2.69 ((~(X!1 = cell11)) | (~(cell88 = cell21))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12602, 12601])).
% 2.64/2.69 tff(12604,plain,
% 2.64/2.69 (((~(X!1 = cell14)) | (~(cell88 = cell24))) | (cell88 = cell24)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12605,plain,
% 2.64/2.69 ((~(X!1 = cell14)) | (~(cell88 = cell24))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12604, 12256])).
% 2.64/2.69 tff(12606,plain,
% 2.64/2.69 (((~(X!1 = cell15)) | (~(cell88 = cell25))) | (cell88 = cell25)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12607,plain,
% 2.64/2.69 ((~(X!1 = cell15)) | (~(cell88 = cell25))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12606, 12261])).
% 2.64/2.69 tff(12608,plain,
% 2.64/2.69 (((~(X!1 = cell16)) | (~(cell88 = cell26))) | (cell88 = cell26)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12609,plain,
% 2.64/2.69 ((~(X!1 = cell16)) | (~(cell88 = cell26))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12608, 12266])).
% 2.64/2.69 tff(12610,plain,
% 2.64/2.69 (((~(X!1 = cell17)) | (~(cell88 = cell27))) | (cell88 = cell27)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12611,plain,
% 2.64/2.69 ((~(X!1 = cell17)) | (~(cell88 = cell27))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12610, 12271])).
% 2.64/2.69 tff(12612,plain,
% 2.64/2.69 (((~(X!1 = cell18)) | (~(cell88 = cell28))) | (cell88 = cell28)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12613,plain,
% 2.64/2.69 ((~(X!1 = cell18)) | (~(cell88 = cell28))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12612, 12276])).
% 2.64/2.69 tff(12614,plain,
% 2.64/2.69 (((~(X!1 = cell19)) | (~(cell88 = cell29))) | (cell88 = cell29)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12615,plain,
% 2.64/2.69 ((~(X!1 = cell19)) | (~(cell88 = cell29))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12614, 12281])).
% 2.64/2.69 tff(12616,plain,
% 2.64/2.69 (((~(X!1 = cell20)) | (~(cell88 = cell30))) | (cell88 = cell30)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12617,plain,
% 2.64/2.69 ((~(X!1 = cell20)) | (~(cell88 = cell30))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12616, 12286])).
% 2.64/2.69 tff(12618,plain,
% 2.64/2.69 ((cell31 = cell88) <=> (cell88 = cell31)),
% 2.64/2.69 inference(symmetry,[status(thm)],[11453])).
% 2.64/2.69 tff(12619,plain,
% 2.64/2.69 ((~(cell31 = cell88)) <=> (~(cell88 = cell31))),
% 2.64/2.69 inference(monotonicity,[status(thm)],[12618])).
% 2.64/2.69 tff(12620,plain,
% 2.64/2.69 (~(cell88 = cell31)),
% 2.64/2.69 inference(modus_ponens,[status(thm)],[11460, 12619])).
% 2.64/2.69 tff(12621,plain,
% 2.64/2.69 (((~(X!1 = cell21)) | (~(cell88 = cell31))) | (cell88 = cell31)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12622,plain,
% 2.64/2.69 ((~(X!1 = cell21)) | (~(cell88 = cell31))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12621, 12620])).
% 2.64/2.69 tff(12623,plain,
% 2.64/2.69 (((~(X!1 = cell22)) | (~(cell88 = cell32))) | (cell88 = cell32)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12624,plain,
% 2.64/2.69 ((~(X!1 = cell22)) | (~(cell88 = cell32))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12623, 12291])).
% 2.64/2.69 tff(12625,plain,
% 2.64/2.69 (((~(X!1 = cell23)) | (~(cell88 = cell33))) | (cell88 = cell33)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12626,plain,
% 2.64/2.69 ((~(X!1 = cell23)) | (~(cell88 = cell33))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12625, 12296])).
% 2.64/2.69 tff(12627,plain,
% 2.64/2.69 (((~(X!1 = cell24)) | (~(cell88 = cell34))) | (cell88 = cell34)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12628,plain,
% 2.64/2.69 ((~(X!1 = cell24)) | (~(cell88 = cell34))),
% 2.64/2.69 inference(unit_resolution,[status(thm)],[12627, 12301])).
% 2.64/2.69 tff(12629,plain,
% 2.64/2.69 (((~(X!1 = cell25)) | (~(cell88 = cell35))) | (cell88 = cell35)),
% 2.64/2.69 inference(tautology,[status(thm)],[])).
% 2.64/2.69 tff(12630,plain,
% 2.64/2.70 ((~(X!1 = cell25)) | (~(cell88 = cell35))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12629, 12306])).
% 2.64/2.70 tff(12631,plain,
% 2.64/2.70 (((~(X!1 = cell26)) | (~(cell88 = cell36))) | (cell88 = cell36)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12632,plain,
% 2.64/2.70 ((~(X!1 = cell26)) | (~(cell88 = cell36))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12631, 12311])).
% 2.64/2.70 tff(12633,plain,
% 2.64/2.70 (((~(X!1 = cell27)) | (~(cell88 = cell37))) | (cell88 = cell37)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12634,plain,
% 2.64/2.70 ((~(X!1 = cell27)) | (~(cell88 = cell37))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12633, 12316])).
% 2.64/2.70 tff(12635,plain,
% 2.64/2.70 (((~(X!1 = cell28)) | (~(cell88 = cell38))) | (cell88 = cell38)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12636,plain,
% 2.64/2.70 ((~(X!1 = cell28)) | (~(cell88 = cell38))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12635, 12321])).
% 2.64/2.70 tff(12637,plain,
% 2.64/2.70 (((~(X!1 = cell29)) | (~(cell88 = cell39))) | (cell88 = cell39)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12638,plain,
% 2.64/2.70 ((~(X!1 = cell29)) | (~(cell88 = cell39))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12637, 12326])).
% 2.64/2.70 tff(12639,plain,
% 2.64/2.70 (((~(X!1 = cell30)) | (~(cell88 = cell40))) | (cell88 = cell40)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12640,plain,
% 2.64/2.70 ((~(X!1 = cell30)) | (~(cell88 = cell40))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12639, 12331])).
% 2.64/2.70 tff(12641,plain,
% 2.64/2.70 ((cell41 = cell88) <=> (cell88 = cell41)),
% 2.64/2.70 inference(symmetry,[status(thm)],[11543])).
% 2.64/2.70 tff(12642,plain,
% 2.64/2.70 ((~(cell41 = cell88)) <=> (~(cell88 = cell41))),
% 2.64/2.70 inference(monotonicity,[status(thm)],[12641])).
% 2.64/2.70 tff(12643,plain,
% 2.64/2.70 (~(cell88 = cell41)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[11550, 12642])).
% 2.64/2.70 tff(12644,plain,
% 2.64/2.70 (((~(X!1 = cell31)) | (~(cell88 = cell41))) | (cell88 = cell41)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12645,plain,
% 2.64/2.70 ((~(X!1 = cell31)) | (~(cell88 = cell41))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12644, 12643])).
% 2.64/2.70 tff(12646,plain,
% 2.64/2.70 (((~(X!1 = cell32)) | (~(cell88 = cell42))) | (cell88 = cell42)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12647,plain,
% 2.64/2.70 ((~(X!1 = cell32)) | (~(cell88 = cell42))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12646, 12336])).
% 2.64/2.70 tff(12648,plain,
% 2.64/2.70 (((~(X!1 = cell33)) | (~(cell88 = cell43))) | (cell88 = cell43)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12649,plain,
% 2.64/2.70 ((~(X!1 = cell33)) | (~(cell88 = cell43))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12648, 12341])).
% 2.64/2.70 tff(12650,plain,
% 2.64/2.70 (((~(X!1 = cell34)) | (~(cell88 = cell44))) | (cell88 = cell44)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12651,plain,
% 2.64/2.70 ((~(X!1 = cell34)) | (~(cell88 = cell44))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12650, 12346])).
% 2.64/2.70 tff(12652,plain,
% 2.64/2.70 (((~(X!1 = cell35)) | (~(cell88 = cell45))) | (cell88 = cell45)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12653,plain,
% 2.64/2.70 ((~(X!1 = cell35)) | (~(cell88 = cell45))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12652, 12351])).
% 2.64/2.70 tff(12654,plain,
% 2.64/2.70 (((~(X!1 = cell36)) | (~(cell88 = cell46))) | (cell88 = cell46)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12655,plain,
% 2.64/2.70 ((~(X!1 = cell36)) | (~(cell88 = cell46))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12654, 12356])).
% 2.64/2.70 tff(12656,plain,
% 2.64/2.70 (((~(X!1 = cell37)) | (~(cell88 = cell47))) | (cell88 = cell47)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12657,plain,
% 2.64/2.70 ((~(X!1 = cell37)) | (~(cell88 = cell47))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12656, 12361])).
% 2.64/2.70 tff(12658,plain,
% 2.64/2.70 (((~(X!1 = cell38)) | (~(cell88 = cell48))) | (cell88 = cell48)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12659,plain,
% 2.64/2.70 ((~(X!1 = cell38)) | (~(cell88 = cell48))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12658, 12366])).
% 2.64/2.70 tff(12660,plain,
% 2.64/2.70 (((~(X!1 = cell39)) | (~(cell88 = cell49))) | (cell88 = cell49)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12661,plain,
% 2.64/2.70 ((~(X!1 = cell39)) | (~(cell88 = cell49))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12660, 12371])).
% 2.64/2.70 tff(12662,plain,
% 2.64/2.70 (((~(X!1 = cell40)) | (~(cell88 = cell50))) | (cell88 = cell50)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12663,plain,
% 2.64/2.70 ((~(X!1 = cell40)) | (~(cell88 = cell50))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12662, 12376])).
% 2.64/2.70 tff(12664,plain,
% 2.64/2.70 ((cell51 = cell88) <=> (cell88 = cell51)),
% 2.64/2.70 inference(symmetry,[status(thm)],[11633])).
% 2.64/2.70 tff(12665,plain,
% 2.64/2.70 ((~(cell51 = cell88)) <=> (~(cell88 = cell51))),
% 2.64/2.70 inference(monotonicity,[status(thm)],[12664])).
% 2.64/2.70 tff(12666,plain,
% 2.64/2.70 (~(cell88 = cell51)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[11640, 12665])).
% 2.64/2.70 tff(12667,plain,
% 2.64/2.70 (((~(X!1 = cell41)) | (~(cell88 = cell51))) | (cell88 = cell51)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12668,plain,
% 2.64/2.70 ((~(X!1 = cell41)) | (~(cell88 = cell51))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12667, 12666])).
% 2.64/2.70 tff(12669,plain,
% 2.64/2.70 (((~(X!1 = cell42)) | (~(cell88 = cell52))) | (cell88 = cell52)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12670,plain,
% 2.64/2.70 ((~(X!1 = cell42)) | (~(cell88 = cell52))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12669, 12381])).
% 2.64/2.70 tff(12671,plain,
% 2.64/2.70 (((~(X!1 = cell43)) | (~(cell88 = cell53))) | (cell88 = cell53)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12672,plain,
% 2.64/2.70 ((~(X!1 = cell43)) | (~(cell88 = cell53))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12671, 12386])).
% 2.64/2.70 tff(12673,plain,
% 2.64/2.70 (((~(X!1 = cell44)) | (~(cell88 = cell54))) | (cell88 = cell54)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12674,plain,
% 2.64/2.70 ((~(X!1 = cell44)) | (~(cell88 = cell54))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12673, 12391])).
% 2.64/2.70 tff(12675,plain,
% 2.64/2.70 (((~(X!1 = cell45)) | (~(cell88 = cell55))) | (cell88 = cell55)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12676,plain,
% 2.64/2.70 ((~(X!1 = cell45)) | (~(cell88 = cell55))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12675, 12396])).
% 2.64/2.70 tff(12677,plain,
% 2.64/2.70 (((~(X!1 = cell46)) | (~(cell88 = cell56))) | (cell88 = cell56)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12678,plain,
% 2.64/2.70 ((~(X!1 = cell46)) | (~(cell88 = cell56))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12677, 12401])).
% 2.64/2.70 tff(12679,plain,
% 2.64/2.70 (((~(X!1 = cell47)) | (~(cell88 = cell57))) | (cell88 = cell57)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12680,plain,
% 2.64/2.70 ((~(X!1 = cell47)) | (~(cell88 = cell57))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12679, 12406])).
% 2.64/2.70 tff(12681,plain,
% 2.64/2.70 (((~(X!1 = cell48)) | (~(cell88 = cell58))) | (cell88 = cell58)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12682,plain,
% 2.64/2.70 ((~(X!1 = cell48)) | (~(cell88 = cell58))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12681, 12411])).
% 2.64/2.70 tff(12683,plain,
% 2.64/2.70 (((~(X!1 = cell49)) | (~(cell88 = cell59))) | (cell88 = cell59)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12684,plain,
% 2.64/2.70 ((~(X!1 = cell49)) | (~(cell88 = cell59))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12683, 12416])).
% 2.64/2.70 tff(12685,plain,
% 2.64/2.70 (((~(X!1 = cell50)) | (~(cell88 = cell60))) | (cell88 = cell60)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12686,plain,
% 2.64/2.70 ((~(X!1 = cell50)) | (~(cell88 = cell60))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12685, 12421])).
% 2.64/2.70 tff(12687,plain,
% 2.64/2.70 ((cell61 = cell88) <=> (cell88 = cell61)),
% 2.64/2.70 inference(symmetry,[status(thm)],[11723])).
% 2.64/2.70 tff(12688,plain,
% 2.64/2.70 ((~(cell61 = cell88)) <=> (~(cell88 = cell61))),
% 2.64/2.70 inference(monotonicity,[status(thm)],[12687])).
% 2.64/2.70 tff(12689,plain,
% 2.64/2.70 (~(cell88 = cell61)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[11730, 12688])).
% 2.64/2.70 tff(12690,plain,
% 2.64/2.70 (((~(X!1 = cell51)) | (~(cell88 = cell61))) | (cell88 = cell61)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12691,plain,
% 2.64/2.70 ((~(X!1 = cell51)) | (~(cell88 = cell61))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12690, 12689])).
% 2.64/2.70 tff(12692,plain,
% 2.64/2.70 (((~(X!1 = cell52)) | (~(cell88 = cell62))) | (cell88 = cell62)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12693,plain,
% 2.64/2.70 ((~(X!1 = cell52)) | (~(cell88 = cell62))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12692, 12426])).
% 2.64/2.70 tff(12694,plain,
% 2.64/2.70 (((~(X!1 = cell53)) | (~(cell88 = cell63))) | (cell88 = cell63)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12695,plain,
% 2.64/2.70 ((~(X!1 = cell53)) | (~(cell88 = cell63))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12694, 12431])).
% 2.64/2.70 tff(12696,plain,
% 2.64/2.70 (((~(X!1 = cell54)) | (~(cell88 = cell64))) | (cell88 = cell64)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12697,plain,
% 2.64/2.70 ((~(X!1 = cell54)) | (~(cell88 = cell64))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12696, 12436])).
% 2.64/2.70 tff(12698,plain,
% 2.64/2.70 (((~(X!1 = cell55)) | (~(cell88 = cell65))) | (cell88 = cell65)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12699,plain,
% 2.64/2.70 ((~(X!1 = cell55)) | (~(cell88 = cell65))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12698, 12441])).
% 2.64/2.70 tff(12700,plain,
% 2.64/2.70 (((~(X!1 = cell56)) | (~(cell88 = cell66))) | (cell88 = cell66)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12701,plain,
% 2.64/2.70 ((~(X!1 = cell56)) | (~(cell88 = cell66))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12700, 12446])).
% 2.64/2.70 tff(12702,plain,
% 2.64/2.70 (((~(X!1 = cell57)) | (~(cell88 = cell67))) | (cell88 = cell67)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12703,plain,
% 2.64/2.70 ((~(X!1 = cell57)) | (~(cell88 = cell67))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12702, 12451])).
% 2.64/2.70 tff(12704,plain,
% 2.64/2.70 (((~(X!1 = cell58)) | (~(cell88 = cell68))) | (cell88 = cell68)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12705,plain,
% 2.64/2.70 ((~(X!1 = cell58)) | (~(cell88 = cell68))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12704, 12460])).
% 2.64/2.70 tff(12706,plain,
% 2.64/2.70 (((~(X!1 = cell59)) | (~(cell88 = cell69))) | (cell88 = cell69)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12707,plain,
% 2.64/2.70 ((~(X!1 = cell59)) | (~(cell88 = cell69))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12706, 12465])).
% 2.64/2.70 tff(12708,plain,
% 2.64/2.70 ((cell88 = cell70) <=> (cell70 = cell88)),
% 2.64/2.70 inference(commutativity,[status(thm)],[])).
% 2.64/2.70 tff(12709,plain,
% 2.64/2.70 ((cell70 = cell88) <=> (cell88 = cell70)),
% 2.64/2.70 inference(symmetry,[status(thm)],[12708])).
% 2.64/2.70 tff(12710,plain,
% 2.64/2.70 ((~(cell70 = cell88)) <=> (~(cell88 = cell70))),
% 2.64/2.70 inference(monotonicity,[status(thm)],[12709])).
% 2.64/2.70 tff(12711,plain,
% 2.64/2.70 ((~(cell70 = cell88)) <=> (~(cell70 = cell88))),
% 2.64/2.70 inference(rewrite,[status(thm)],[])).
% 2.64/2.70 tff(12712,axiom,(~(cell70 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47221')).
% 2.64/2.70 tff(12713,plain,
% 2.64/2.70 (~(cell70 = cell88)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[12712, 12711])).
% 2.64/2.70 tff(12714,plain,
% 2.64/2.70 (~(cell88 = cell70)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[12713, 12710])).
% 2.64/2.70 tff(12715,plain,
% 2.64/2.70 (((~(X!1 = cell60)) | (~(cell88 = cell70))) | (cell88 = cell70)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12716,plain,
% 2.64/2.70 ((~(X!1 = cell60)) | (~(cell88 = cell70))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12715, 12714])).
% 2.64/2.70 tff(12717,plain,
% 2.64/2.70 ((cell71 = cell88) <=> (cell88 = cell71)),
% 2.64/2.70 inference(symmetry,[status(thm)],[11803])).
% 2.64/2.70 tff(12718,plain,
% 2.64/2.70 ((~(cell71 = cell88)) <=> (~(cell88 = cell71))),
% 2.64/2.70 inference(monotonicity,[status(thm)],[12717])).
% 2.64/2.70 tff(12719,plain,
% 2.64/2.70 (~(cell88 = cell71)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[11810, 12718])).
% 2.64/2.70 tff(12720,plain,
% 2.64/2.70 (((~(X!1 = cell61)) | (~(cell88 = cell71))) | (cell88 = cell71)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12721,plain,
% 2.64/2.70 ((~(X!1 = cell61)) | (~(cell88 = cell71))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12720, 12719])).
% 2.64/2.70 tff(12722,plain,
% 2.64/2.70 (((~(X!1 = cell62)) | (~(cell88 = cell72))) | (cell88 = cell72)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12723,plain,
% 2.64/2.70 ((~(X!1 = cell62)) | (~(cell88 = cell72))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12722, 12470])).
% 2.64/2.70 tff(12724,plain,
% 2.64/2.70 (((~(X!1 = cell63)) | (~(cell88 = cell73))) | (cell88 = cell73)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12725,plain,
% 2.64/2.70 ((~(X!1 = cell63)) | (~(cell88 = cell73))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12724, 12475])).
% 2.64/2.70 tff(12726,plain,
% 2.64/2.70 (((~(X!1 = cell64)) | (~(cell88 = cell74))) | (cell88 = cell74)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12727,plain,
% 2.64/2.70 ((~(X!1 = cell64)) | (~(cell88 = cell74))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12726, 12480])).
% 2.64/2.70 tff(12728,plain,
% 2.64/2.70 (((~(X!1 = cell65)) | (~(cell88 = cell75))) | (cell88 = cell75)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12729,plain,
% 2.64/2.70 ((~(X!1 = cell65)) | (~(cell88 = cell75))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12728, 12485])).
% 2.64/2.70 tff(12730,plain,
% 2.64/2.70 (((~(X!1 = cell66)) | (~(cell88 = cell76))) | (cell88 = cell76)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12731,plain,
% 2.64/2.70 ((~(X!1 = cell66)) | (~(cell88 = cell76))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12730, 12490])).
% 2.64/2.70 tff(12732,plain,
% 2.64/2.70 (((~(X!1 = cell67)) | (~(cell88 = cell77))) | (cell88 = cell77)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12733,plain,
% 2.64/2.70 ((~(X!1 = cell67)) | (~(cell88 = cell77))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12732, 12495])).
% 2.64/2.70 tff(12734,plain,
% 2.64/2.70 (((~(X!1 = cell68)) | (~(cell88 = cell78))) | (cell88 = cell78)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12735,plain,
% 2.64/2.70 ((~(X!1 = cell68)) | (~(cell88 = cell78))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12734, 12500])).
% 2.64/2.70 tff(12736,plain,
% 2.64/2.70 (((~(X!1 = cell70)) | (~(cell88 = cell80))) | (cell88 = cell80)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12737,plain,
% 2.64/2.70 ((~(X!1 = cell70)) | (~(cell88 = cell80))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12736, 12505])).
% 2.64/2.70 tff(12738,plain,
% 2.64/2.70 ((cell81 = cell88) <=> (cell88 = cell81)),
% 2.64/2.70 inference(symmetry,[status(thm)],[11878])).
% 2.64/2.70 tff(12739,plain,
% 2.64/2.70 ((~(cell81 = cell88)) <=> (~(cell88 = cell81))),
% 2.64/2.70 inference(monotonicity,[status(thm)],[12738])).
% 2.64/2.70 tff(12740,plain,
% 2.64/2.70 (~(cell88 = cell81)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[11885, 12739])).
% 2.64/2.70 tff(12741,plain,
% 2.64/2.70 (((~(X!1 = cell71)) | (~(cell88 = cell81))) | (cell88 = cell81)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12742,plain,
% 2.64/2.70 ((~(X!1 = cell71)) | (~(cell88 = cell81))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12741, 12740])).
% 2.64/2.70 tff(12743,plain,
% 2.64/2.70 (((~(X!1 = cell72)) | (~(cell88 = cell82))) | (cell88 = cell82)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12744,plain,
% 2.64/2.70 ((~(X!1 = cell72)) | (~(cell88 = cell82))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12743, 12510])).
% 2.64/2.70 tff(12745,plain,
% 2.64/2.70 (((~(X!1 = cell73)) | (~(cell88 = cell83))) | (cell88 = cell83)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12746,plain,
% 2.64/2.70 ((~(X!1 = cell73)) | (~(cell88 = cell83))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12745, 12515])).
% 2.64/2.70 tff(12747,plain,
% 2.64/2.70 (((~(X!1 = cell74)) | (~(cell88 = cell84))) | (cell88 = cell84)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12748,plain,
% 2.64/2.70 ((~(X!1 = cell74)) | (~(cell88 = cell84))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12747, 12520])).
% 2.64/2.70 tff(12749,plain,
% 2.64/2.70 (((~(X!1 = cell75)) | (~(cell88 = cell85))) | (cell88 = cell85)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12750,plain,
% 2.64/2.70 ((~(X!1 = cell75)) | (~(cell88 = cell85))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12749, 12525])).
% 2.64/2.70 tff(12751,plain,
% 2.64/2.70 (((~(X!1 = cell76)) | (~(cell88 = cell86))) | (cell88 = cell86)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12752,plain,
% 2.64/2.70 ((~(X!1 = cell76)) | (~(cell88 = cell86))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12751, 12530])).
% 2.64/2.70 tff(12753,plain,
% 2.64/2.70 (((~(X!1 = cell77)) | (~(cell88 = cell87))) | (cell88 = cell87)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12754,plain,
% 2.64/2.70 ((~(X!1 = cell77)) | (~(cell88 = cell87))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12753, 12535])).
% 2.64/2.70 tff(12755,plain,
% 2.64/2.70 ((cell88 = cell89) <=> (cell89 = cell88)),
% 2.64/2.70 inference(commutativity,[status(thm)],[])).
% 2.64/2.70 tff(12756,plain,
% 2.64/2.70 ((cell89 = cell88) <=> (cell88 = cell89)),
% 2.64/2.70 inference(symmetry,[status(thm)],[12755])).
% 2.64/2.70 tff(12757,plain,
% 2.64/2.70 ((~(cell89 = cell88)) <=> (~(cell88 = cell89))),
% 2.64/2.70 inference(monotonicity,[status(thm)],[12756])).
% 2.64/2.70 tff(12758,plain,
% 2.64/2.70 (~(cell88 = cell89)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[2659, 12757])).
% 2.64/2.70 tff(12759,plain,
% 2.64/2.70 (((~(X!1 = cell79)) | (~(cell88 = cell89))) | (cell88 = cell89)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12760,plain,
% 2.64/2.70 ((~(X!1 = cell79)) | (~(cell88 = cell89))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12759, 12758])).
% 2.64/2.70 tff(12761,plain,
% 2.64/2.70 ((cell91 = cell88) <=> (cell88 = cell91)),
% 2.64/2.70 inference(symmetry,[status(thm)],[11920])).
% 2.64/2.70 tff(12762,plain,
% 2.64/2.70 ((~(cell91 = cell88)) <=> (~(cell88 = cell91))),
% 2.64/2.70 inference(monotonicity,[status(thm)],[12761])).
% 2.64/2.70 tff(12763,plain,
% 2.64/2.70 (~(cell88 = cell91)),
% 2.64/2.70 inference(modus_ponens,[status(thm)],[11927, 12762])).
% 2.64/2.70 tff(12764,plain,
% 2.64/2.70 (((~(X!1 = cell81)) | (~(cell88 = cell91))) | (cell88 = cell91)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12765,plain,
% 2.64/2.70 ((~(X!1 = cell81)) | (~(cell88 = cell91))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12764, 12763])).
% 2.64/2.70 tff(12766,plain,
% 2.64/2.70 (((~(X!1 = cell82)) | (~(cell88 = cell92))) | (cell88 = cell92)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12767,plain,
% 2.64/2.70 ((~(X!1 = cell82)) | (~(cell88 = cell92))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12766, 12540])).
% 2.64/2.70 tff(12768,plain,
% 2.64/2.70 (((~(X!1 = cell83)) | (~(cell88 = cell93))) | (cell88 = cell93)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12769,plain,
% 2.64/2.70 ((~(X!1 = cell83)) | (~(cell88 = cell93))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12768, 12545])).
% 2.64/2.70 tff(12770,plain,
% 2.64/2.70 (((~(X!1 = cell84)) | (~(cell88 = cell94))) | (cell88 = cell94)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12771,plain,
% 2.64/2.70 ((~(X!1 = cell84)) | (~(cell88 = cell94))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12770, 12550])).
% 2.64/2.70 tff(12772,plain,
% 2.64/2.70 (((~(X!1 = cell85)) | (~(cell88 = cell95))) | (cell88 = cell95)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12773,plain,
% 2.64/2.70 ((~(X!1 = cell85)) | (~(cell88 = cell95))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12772, 12555])).
% 2.64/2.70 tff(12774,plain,
% 2.64/2.70 (((~(X!1 = cell86)) | (~(cell88 = cell96))) | (cell88 = cell96)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12775,plain,
% 2.64/2.70 ((~(X!1 = cell86)) | (~(cell88 = cell96))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12774, 12560])).
% 2.64/2.70 tff(12776,plain,
% 2.64/2.70 (((~(X!1 = cell87)) | (~(cell88 = cell97))) | (cell88 = cell97)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12777,plain,
% 2.64/2.70 ((~(X!1 = cell87)) | (~(cell88 = cell97))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12776, 12565])).
% 2.64/2.70 tff(12778,plain,
% 2.64/2.70 (((~(X!1 = cell90)) | (~(cell88 = cell100))) | (cell88 = cell100)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12779,plain,
% 2.64/2.70 ((~(X!1 = cell90)) | (~(cell88 = cell100))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12778, 12579])).
% 2.64/2.70 tff(12780,plain,
% 2.64/2.70 (((~(X!1 = cell1)) | (~(cell88 = cell2))) | (cell88 = cell2)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12781,plain,
% 2.64/2.70 ((~(X!1 = cell1)) | (~(cell88 = cell2))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12780, 3804])).
% 2.64/2.70 tff(12782,plain,
% 2.64/2.70 (((~(X!1 = cell11)) | (~(cell88 = cell12))) | (cell88 = cell12)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12783,plain,
% 2.64/2.70 ((~(X!1 = cell11)) | (~(cell88 = cell12))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12782, 3743])).
% 2.64/2.70 tff(12784,plain,
% 2.64/2.70 (((~(X!1 = cell12)) | (~(cell88 = cell13))) | (X!1 = cell12)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12785,plain,
% 2.64/2.70 ((~(X!1 = cell12)) | (~(cell88 = cell13))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12784, 1225])).
% 2.64/2.70 tff(12786,plain,
% 2.64/2.70 (((~(X!1 = cell13)) | (~(cell88 = cell14))) | (X!1 = cell13)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12787,plain,
% 2.64/2.70 ((~(X!1 = cell13)) | (~(cell88 = cell14))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12786, 29])).
% 2.64/2.70 tff(12788,plain,
% 2.64/2.70 (((~(X!1 = cell21)) | (~(cell88 = cell22))) | (cell88 = cell22)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12789,plain,
% 2.64/2.70 ((~(X!1 = cell21)) | (~(cell88 = cell22))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12788, 3814])).
% 2.64/2.70 tff(12790,plain,
% 2.64/2.70 (((~(X!1 = cell69)) | (~(cell88 = cell70))) | (X!1 = cell69)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12791,plain,
% 2.64/2.70 ((~(X!1 = cell69)) | (~(cell88 = cell70))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12790, 1218])).
% 2.64/2.70 tff(12792,plain,
% 2.64/2.70 (((~(X!1 = cell78)) | (~(cell88 = cell79))) | (X!1 = cell78)),
% 2.64/2.70 inference(tautology,[status(thm)],[])).
% 2.64/2.70 tff(12793,plain,
% 2.64/2.70 ((~(X!1 = cell78)) | (~(cell88 = cell79))),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[12792, 1217])).
% 2.64/2.70 tff(12794,plain,
% 2.64/2.70 (~patient(cell88)),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[3837, 1216])).
% 2.64/2.70 tff(12795,plain,
% 2.64/2.70 (~(X!1 = cell88)),
% 2.64/2.70 inference(unit_resolution,[status(thm)],[3846, 12794])).
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| (~((~(X!1 = cell83)) | (~(cell88 = cell84)))) | (~((~(X!1 = cell82)) | (~(cell88 = cell83)))) | (~((~(X!1 = cell81)) | (~(cell88 = cell82)))) | (~((~(X!1 = cell79)) | (~(cell88 = cell80)))) | (~((~(X!1 = cell78)) | (~(cell88 = cell79)))) | (~((~(X!1 = cell77)) | (~(cell88 = cell78)))) | (~((~(X!1 = cell76)) | (~(cell88 = cell77)))) | (~((~(X!1 = cell75)) | (~(cell88 = cell76)))) | (~((~(X!1 = cell74)) | (~(cell88 = cell75)))) | (~((~(X!1 = cell73)) | (~(cell88 = cell74)))) | (~((~(X!1 = cell72)) | (~(cell88 = cell73)))) | (~((~(X!1 = cell71)) | (~(cell88 = cell72)))) | (~((~(X!1 = cell69)) | (~(cell88 = cell70)))) | (~((~(X!1 = cell68)) | (~(cell88 = cell69)))) | (~((~(X!1 = cell67)) | (~(cell88 = cell68)))) | (~((~(X!1 = cell66)) | (~(cell88 = cell67)))) | (~((~(X!1 = cell65)) | (~(cell88 = cell66)))) | (~((~(X!1 = cell64)) | (~(cell88 = cell65)))) | (~((~(X!1 = cell63)) | (~(cell88 = cell64)))) | (~((~(X!1 = cell62)) | (~(cell88 = cell63)))) | (~((~(X!1 = cell61)) | (~(cell88 = cell62)))) | (~((~(X!1 = cell59)) | (~(cell88 = cell60)))) | (~((~(X!1 = cell58)) | (~(cell88 = cell59)))) | (~((~(X!1 = cell57)) | (~(cell88 = cell58)))) | (~((~(X!1 = cell56)) | (~(cell88 = cell57)))) | (~((~(X!1 = cell55)) | (~(cell88 = cell56)))) | (~((~(X!1 = cell54)) | (~(cell88 = cell55)))) | (~((~(X!1 = cell53)) | (~(cell88 = cell54)))) | (~((~(X!1 = cell52)) | (~(cell88 = cell53)))) | (~((~(X!1 = cell51)) | (~(cell88 = cell52)))) | (~((~(X!1 = cell49)) | (~(cell88 = cell50)))) | (~((~(X!1 = cell48)) | (~(cell88 = cell49)))) | (~((~(X!1 = cell47)) | (~(cell88 = cell48)))) | (~((~(X!1 = cell46)) | (~(cell88 = cell47)))) | (~((~(X!1 = cell45)) | (~(cell88 = cell46)))) | (~((~(X!1 = cell44)) | (~(cell88 = cell45)))) | (~((~(X!1 = cell43)) | (~(cell88 = cell44)))) | (~((~(X!1 = cell42)) | (~(cell88 = cell43)))) | (~((~(X!1 = cell41)) | (~(cell88 = cell42)))) | (~((~(X!1 = cell39)) | (~(cell88 = cell40)))) | (~((~(X!1 = cell38)) | (~(cell88 = cell39)))) | (~((~(X!1 = cell37)) | (~(cell88 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell88 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell88 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell88 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell88 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell88 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell88 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell88 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell88 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell88 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell88 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell88 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell88 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell88 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell88 = cell23)))) | (~((~(X!1 = cell21)) | (~(cell88 = cell22)))) | (~((~(X!1 = cell19)) | (~(cell88 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell88 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell88 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell88 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell88 = cell16)))) | (~((~(X!1 = 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(~((~(X!1 = cell79)) | (~(cell88 = cell89)))) | (~((~(X!1 = cell77)) | (~(cell88 = cell87)))) | (~((~(X!1 = cell76)) | (~(cell88 = cell86)))) | (~((~(X!1 = cell75)) | (~(cell88 = cell85)))) | (~((~(X!1 = cell74)) | (~(cell88 = cell84)))) | (~((~(X!1 = cell73)) | (~(cell88 = cell83)))) | (~((~(X!1 = cell72)) | (~(cell88 = cell82)))) | (~((~(X!1 = cell71)) | (~(cell88 = cell81)))) | (~((~(X!1 = cell70)) | (~(cell88 = cell80)))) | (~((~(X!1 = cell68)) | (~(cell88 = cell78)))) | (~((~(X!1 = cell67)) | (~(cell88 = cell77)))) | (~((~(X!1 = cell66)) | (~(cell88 = cell76)))) | (~((~(X!1 = cell65)) | (~(cell88 = cell75)))) | (~((~(X!1 = cell64)) | (~(cell88 = cell74)))) | (~((~(X!1 = cell63)) | (~(cell88 = cell73)))) | (~((~(X!1 = cell62)) | (~(cell88 = cell72)))) | (~((~(X!1 = cell61)) | (~(cell88 = cell71)))) | (~((~(X!1 = cell60)) | (~(cell88 = cell70)))) | (~((~(X!1 = cell59)) | (~(cell88 = cell69)))) | (~((~(X!1 = cell58)) | (~(cell88 = cell68)))) | (~((~(X!1 = cell57)) | (~(cell88 = 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(~(cell88 = cell46)))) | (~((~(X!1 = cell35)) | (~(cell88 = cell45)))) | (~((~(X!1 = cell34)) | (~(cell88 = cell44)))) | (~((~(X!1 = cell33)) | (~(cell88 = cell43)))) | (~((~(X!1 = cell32)) | (~(cell88 = cell42)))) | (~((~(X!1 = cell31)) | (~(cell88 = cell41)))) | (~((~(X!1 = cell30)) | (~(cell88 = cell40)))) | (~((~(X!1 = cell29)) | (~(cell88 = cell39)))) | (~((~(X!1 = cell28)) | (~(cell88 = cell38)))) | (~((~(X!1 = cell27)) | (~(cell88 = cell37)))) | (~((~(X!1 = cell26)) | (~(cell88 = cell36)))) | (~((~(X!1 = cell25)) | (~(cell88 = cell35)))) | (~((~(X!1 = cell24)) | (~(cell88 = cell34)))) | (~((~(X!1 = cell23)) | (~(cell88 = cell33)))) | (~((~(X!1 = cell22)) | (~(cell88 = cell32)))) | (~((~(X!1 = cell21)) | (~(cell88 = cell31)))) | (~((~(X!1 = cell20)) | (~(cell88 = cell30)))) | (~((~(X!1 = cell19)) | (~(cell88 = cell29)))) | (~((~(X!1 = cell18)) | (~(cell88 = cell28)))) | (~((~(X!1 = cell17)) | (~(cell88 = cell27)))) | (~((~(X!1 = cell16)) | (~(cell88 = cell26)))) | (~((~(X!1 = cell15)) | (~(cell88 = cell25)))) | (~((~(X!1 = cell14)) | (~(cell88 = cell24)))) | (~((~(X!1 = cell11)) | (~(cell88 = cell21)))) | (~((~(X!1 = cell10)) | (~(cell88 = cell20)))) | (~((~(X!1 = cell9)) | (~(cell88 = cell19)))) | (~((~(X!1 = cell8)) | (~(cell88 = cell18)))) | (~((~(X!1 = cell7)) | (~(cell88 = cell17)))) | (~((~(X!1 = cell6)) | (~(cell88 = cell16)))) | (~((~(X!1 = cell5)) | (~(cell88 = cell15)))) | (~((~(X!1 = cell4)) | (~(cell88 = cell14)))) | (~((~(X!1 = cell99)) | (~(cell88 = cell100)))) | (~((~(X!1 = cell97)) | (~(cell88 = cell98)))) | (~((~(X!1 = cell96)) | (~(cell88 = cell97)))) | (~((~(X!1 = cell95)) | (~(cell88 = cell96)))) | (~((~(X!1 = cell94)) | (~(cell88 = cell95)))) | (~((~(X!1 = cell93)) | (~(cell88 = cell94)))) | (~((~(X!1 = cell92)) | (~(cell88 = cell93)))) | (~((~(X!1 = cell91)) | (~(cell88 = cell92)))) | (~((~(X!1 = cell86)) | (~(cell88 = cell87)))) | (~((~(X!1 = cell85)) | (~(cell88 = cell86)))) | (~((~(X!1 = cell84)) | (~(cell88 = cell85)))) | (~((~(X!1 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(~((~(X!1 = cell57)) | (~(cell88 = cell58)))) | (~((~(X!1 = cell56)) | (~(cell88 = cell57)))) | (~((~(X!1 = cell55)) | (~(cell88 = cell56)))) | (~((~(X!1 = cell54)) | (~(cell88 = cell55)))) | (~((~(X!1 = cell53)) | (~(cell88 = cell54)))) | (~((~(X!1 = cell52)) | (~(cell88 = cell53)))) | (~((~(X!1 = cell51)) | (~(cell88 = cell52)))) | (~((~(X!1 = cell49)) | (~(cell88 = cell50)))) | (~((~(X!1 = cell48)) | (~(cell88 = cell49)))) | (~((~(X!1 = cell47)) | (~(cell88 = cell48)))) | (~((~(X!1 = cell46)) | (~(cell88 = cell47)))) | (~((~(X!1 = cell45)) | (~(cell88 = cell46)))) | (~((~(X!1 = cell44)) | (~(cell88 = cell45)))) | (~((~(X!1 = cell43)) | (~(cell88 = cell44)))) | (~((~(X!1 = cell42)) | (~(cell88 = cell43)))) | (~((~(X!1 = cell41)) | (~(cell88 = cell42)))) | (~((~(X!1 = cell39)) | (~(cell88 = cell40)))) | (~((~(X!1 = cell38)) | (~(cell88 = cell39)))) | (~((~(X!1 = cell37)) | (~(cell88 = cell38)))) | (~((~(X!1 = cell36)) | (~(cell88 = cell37)))) | (~((~(X!1 = cell35)) | (~(cell88 = cell36)))) | (~((~(X!1 = cell34)) | (~(cell88 = cell35)))) | (~((~(X!1 = cell33)) | (~(cell88 = cell34)))) | (~((~(X!1 = cell32)) | (~(cell88 = cell33)))) | (~((~(X!1 = cell31)) | (~(cell88 = cell32)))) | (~((~(X!1 = cell29)) | (~(cell88 = cell30)))) | (~((~(X!1 = cell28)) | (~(cell88 = cell29)))) | (~((~(X!1 = cell27)) | (~(cell88 = cell28)))) | (~((~(X!1 = cell26)) | (~(cell88 = cell27)))) | (~((~(X!1 = cell25)) | (~(cell88 = cell26)))) | (~((~(X!1 = cell24)) | (~(cell88 = cell25)))) | (~((~(X!1 = cell23)) | (~(cell88 = cell24)))) | (~((~(X!1 = cell22)) | (~(cell88 = cell23)))) | (~((~(X!1 = cell19)) | (~(cell88 = cell20)))) | (~((~(X!1 = cell18)) | (~(cell88 = cell19)))) | (~((~(X!1 = cell17)) | (~(cell88 = cell18)))) | (~((~(X!1 = cell16)) | (~(cell88 = cell17)))) | (~((~(X!1 = cell15)) | (~(cell88 = cell16)))) | (~((~(X!1 = cell14)) | (~(cell88 = cell15)))) | (~((~(X!1 = cell9)) | (~(cell88 = cell10)))) | (~((~(X!1 = cell8)) | (~(cell88 = cell9)))) | (~((~(X!1 = cell7)) | (~(cell88 = cell8)))) | (~((~(X!1 = cell6)) | (~(cell88 = cell7)))) | (~((~(X!1 = cell5)) | (~(cell88 = cell6)))) | (~((~(X!1 = cell4)) | (~(cell88 = cell5)))) | (~((~(X!1 = cell3)) | (~(cell88 = cell4)))) | (~((~(X!1 = cell2)) | (~(cell88 = cell3))))),
% 2.68/2.73 inference(unit_resolution,[status(thm)],[12824, 1217, 12823, 12821, 12819, 12817, 12815, 12813, 12811, 12809, 12807, 12805, 12799, 12797, 12793, 12791, 12789, 12787, 12785, 12783, 12781])).
% 2.68/2.73 tff(12826,plain,
% 2.68/2.73 (X!1 = cell87),
% 2.68/2.73 inference(unit_resolution,[status(thm)],[12825, 12779, 12777, 12775, 12773, 12771, 12769, 12767, 12765, 12760, 12754, 12752, 12750, 12748, 12746, 12744, 12742, 12737, 12735, 12733, 12731, 12729, 12727, 12725, 12723, 12721, 12716, 12707, 12705, 12703, 12701, 12699, 12697, 12695, 12693, 12691, 12686, 12684, 12682, 12680, 12678, 12676, 12674, 12672, 12670, 12668, 12663, 12661, 12659, 12657, 12655, 12653, 12651, 12649, 12647, 12645, 12640, 12638, 12636, 12634, 12632, 12630, 12628, 12626, 12624, 12622, 12617, 12615, 12613, 12611, 12609, 12607, 12605, 12603, 12598, 12596, 12594, 12592, 12590, 12588, 12586, 12581, 12572, 12567, 12562, 12557, 12552, 12547, 12542, 12537, 12532, 12527, 12522, 12517, 12512, 12507, 12502, 12497, 12492, 12487, 12482, 12477, 12472, 12467, 12462, 12453, 12448, 12443, 12438, 12433, 12428, 12423, 12418, 12413, 12408, 12403, 12398, 12393, 12388, 12383, 12378, 12373, 12368, 12363, 12358, 12353, 12348, 12343, 12338, 12333, 12328, 12323, 12318, 12313, 12308, 12303, 12298, 12293, 12288, 12283, 12278, 12273, 12268, 12263, 12258, 12253, 12248, 12243, 12238, 12233, 12228, 12223, 12218, 12213, 12208, 12203, 12198, 12193, 12188, 12183, 12178])).
% 2.68/2.73 tff(12827,plain,
% 2.68/2.73 (cell87 = X!1),
% 2.68/2.73 inference(symmetry,[status(thm)],[12826])).
% 2.68/2.73 tff(12828,plain,
% 2.68/2.73 (patient(cell87) <=> patient(X!1)),
% 2.68/2.73 inference(monotonicity,[status(thm)],[12827])).
% 2.68/2.73 tff(12829,plain,
% 2.68/2.73 (patient(X!1) <=> patient(cell87)),
% 2.68/2.73 inference(symmetry,[status(thm)],[12828])).
% 2.68/2.73 tff(12830,plain,
% 2.68/2.73 (patient(cell87)),
% 2.68/2.73 inference(modus_ponens,[status(thm)],[15, 12829])).
% 2.68/2.73 tff(12831,plain,
% 2.68/2.73 ((cell87 = cell11) <=> (X!1 = cell11)),
% 2.68/2.73 inference(monotonicity,[status(thm)],[12827])).
% 2.68/2.73 tff(12832,plain,
% 2.68/2.73 ((cell87 = cell11) <=> (cell11 = X!1)),
% 2.68/2.73 inference(transitivity,[status(thm)],[12831, 4530])).
% 2.68/2.73 tff(12833,plain,
% 2.68/2.73 ((~(cell87 = cell11)) <=> (~(cell11 = X!1))),
% 2.68/2.73 inference(monotonicity,[status(thm)],[12832])).
% 2.68/2.73 tff(12834,plain,
% 2.68/2.73 (~(cell11 = X!1)),
% 2.68/2.73 inference(modus_ponens,[status(thm)],[9940, 12833])).
% 2.68/2.73 tff(12835,plain,
% 2.68/2.73 (~patient(cell11)),
% 2.68/2.73 inference(unit_resolution,[status(thm)],[1077, 12834])).
% 2.68/2.73 tff(12836,plain,
% 2.68/2.73 (patient(cell22)),
% 2.68/2.73 inference(unit_resolution,[status(thm)],[1153, 12835, 9293, 1216, 30])).
% 2.68/2.73 tff(12837,plain,
% 2.68/2.73 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell22)) | (~patient(cell87)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell22) | (~patient(cell22)) | (~patient(cell87)))),
% 2.68/2.73 inference(rewrite,[status(thm)],[])).
% 2.68/2.73 tff(12838,plain,
% 2.68/2.73 (((cell87 = cell22) | (~patient(cell87)) | (~patient(cell22))) <=> ((cell87 = cell22) | (~patient(cell22)) | (~patient(cell87)))),
% 2.68/2.73 inference(rewrite,[status(thm)],[])).
% 2.68/2.73 tff(12839,plain,
% 2.68/2.73 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell87)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell22)) | (~patient(cell87))))),
% 2.68/2.73 inference(monotonicity,[status(thm)],[12838])).
% 2.68/2.73 tff(12840,plain,
% 2.68/2.73 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell87)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell22) | (~patient(cell22)) | (~patient(cell87)))),
% 2.68/2.73 inference(transitivity,[status(thm)],[12839, 12837])).
% 2.68/2.73 tff(12841,plain,
% 2.68/2.73 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell87)) | (~patient(cell22)))),
% 2.68/2.73 inference(quant_inst,[status(thm)],[])).
% 2.68/2.73 tff(12842,plain,
% 2.68/2.73 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell22) | (~patient(cell22)) | (~patient(cell87))),
% 2.68/2.73 inference(modus_ponens,[status(thm)],[12841, 12840])).
% 2.68/2.73 tff(12843,plain,
% 2.68/2.73 (~patient(cell87)),
% 2.68/2.73 inference(unit_resolution,[status(thm)],[12842, 12836, 28, 6272])).
% 2.68/2.73 tff(12844,plain,
% 2.68/2.73 ($false),
% 2.68/2.73 inference(unit_resolution,[status(thm)],[12843, 12830])).
% 2.68/2.73 tff(12845,plain,((cell12 = X!1) | patient(cell2) | (X!1 = cell78) | (X!1 = cell13) | (X!1 = cell69)), inference(lemma,lemma(discharge,[]))).
% 2.68/2.73 tff(12846,plain,
% 2.68/2.73 (cell12 = X!1),
% 2.68/2.73 inference(unit_resolution,[status(thm)],[12845, 29, 1195, 30, 1193])).
% 2.68/2.73 tff(12847,plain,
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% 2.70/2.74 inference(unit_resolution,[status(thm)],[5605, 12846])).
% 2.70/2.74 tff(12848,plain,
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% 2.70/2.74 inference(unit_resolution,[status(thm)],[9959, 12847])).
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% 2.70/2.74 inference(unit_resolution,[status(thm)],[10165, 12848])).
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% 2.70/2.74 ((cell5 = cell12) <=> (cell5 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
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% 2.70/2.74 ((cell5 = cell12) <=> (X!1 = cell5)),
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% 2.70/2.74 ((~(cell5 = cell12)) <=> (~(X!1 = cell5))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12851])).
% 2.70/2.74 tff(12853,plain,
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% 2.70/2.74 inference(unit_resolution,[status(thm)],[9333, 12853])).
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% 2.70/2.74 ((cell9 = cell12) <=> (cell9 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
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% 2.70/2.74 ((cell9 = cell12) <=> (X!1 = cell9)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12855, 6784])).
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% 2.70/2.74 ((~(cell9 = cell12)) <=> (~(X!1 = cell9))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12856])).
% 2.70/2.74 tff(12858,plain,
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% 2.70/2.74 inference(modus_ponens,[status(thm)],[2792, 12857])).
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% 2.70/2.74 inference(unit_resolution,[status(thm)],[9369, 12858])).
% 2.70/2.74 tff(12860,plain,
% 2.70/2.74 ((cell16 = cell12) <=> (cell16 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12861,plain,
% 2.70/2.74 ((cell16 = cell12) <=> (X!1 = cell16)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12860, 6760])).
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% 2.70/2.74 ((~(cell16 = cell12)) <=> (~(X!1 = cell16))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12861])).
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% 2.70/2.74 inference(modus_ponens,[status(thm)],[2834, 12862])).
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% 2.70/2.74 inference(unit_resolution,[status(thm)],[9405, 12863])).
% 2.70/2.74 tff(12865,plain,
% 2.70/2.74 ((cell32 = cell12) <=> (cell32 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12866,plain,
% 2.70/2.74 ((cell32 = cell12) <=> (X!1 = cell32)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12865, 6664])).
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% 2.70/2.74 ((~(cell32 = cell12)) <=> (~(X!1 = cell32))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12866])).
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% 2.70/2.74 inference(modus_ponens,[status(thm)],[2975, 12867])).
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% 2.70/2.74 inference(unit_resolution,[status(thm)],[9520, 12868])).
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% 2.70/2.74 ((cell33 = cell12) <=> (cell33 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
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% 2.70/2.74 ((cell33 = cell12) <=> (X!1 = cell33)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12870, 6656])).
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% 2.70/2.74 inference(monotonicity,[status(thm)],[12871])).
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% 2.70/2.74 inference(modus_ponens,[status(thm)],[2986, 12872])).
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% 2.70/2.74 inference(unit_resolution,[status(thm)],[9529, 12873])).
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% 2.70/2.74 ((cell34 = cell12) <=> (cell34 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12876,plain,
% 2.70/2.74 ((cell34 = cell12) <=> (X!1 = cell34)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12875, 6648])).
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% 2.70/2.74 inference(monotonicity,[status(thm)],[12876])).
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% 2.70/2.74 ((cell37 = cell12) <=> (cell37 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
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% 2.70/2.74 inference(monotonicity,[status(thm)],[12881])).
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% 2.70/2.74 ((cell40 = cell12) <=> (cell40 = X!1)),
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% 2.70/2.74 inference(transitivity,[status(thm)],[12885, 6600])).
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% 2.70/2.74 inference(monotonicity,[status(thm)],[12886])).
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% 2.70/2.74 inference(modus_ponens,[status(thm)],[3621, 12887])).
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% 2.70/2.74 ((~(X!1 = cell45)) | (~(Y!0 = cell44))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9628, 12893])).
% 2.70/2.74 tff(12895,plain,
% 2.70/2.74 ((cell47 = cell12) <=> (cell47 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12896,plain,
% 2.70/2.74 ((cell47 = cell12) <=> (X!1 = cell47)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12895, 6552])).
% 2.70/2.74 tff(12897,plain,
% 2.70/2.74 ((~(cell47 = cell12)) <=> (~(X!1 = cell47))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12896])).
% 2.70/2.74 tff(12898,plain,
% 2.70/2.74 (~(X!1 = cell47)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3129, 12897])).
% 2.70/2.74 tff(12899,plain,
% 2.70/2.74 ((~(X!1 = cell47)) | (~(Y!0 = cell46))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9646, 12898])).
% 2.70/2.74 tff(12900,plain,
% 2.70/2.74 ((cell49 = cell12) <=> (cell49 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12901,plain,
% 2.70/2.74 ((cell49 = cell12) <=> (X!1 = cell49)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12900, 6536])).
% 2.70/2.74 tff(12902,plain,
% 2.70/2.74 ((~(cell49 = cell12)) <=> (~(X!1 = cell49))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12901])).
% 2.70/2.74 tff(12903,plain,
% 2.70/2.74 (~(X!1 = cell49)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3151, 12902])).
% 2.70/2.74 tff(12904,plain,
% 2.70/2.74 ((~(X!1 = cell49)) | (~(Y!0 = cell48))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9664, 12903])).
% 2.70/2.74 tff(12905,plain,
% 2.70/2.74 ((cell55 = cell12) <=> (cell55 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12906,plain,
% 2.70/2.74 ((cell55 = cell12) <=> (X!1 = cell55)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12905, 6496])).
% 2.70/2.74 tff(12907,plain,
% 2.70/2.74 ((~(cell55 = cell12)) <=> (~(X!1 = cell55))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12906])).
% 2.70/2.74 tff(12908,plain,
% 2.70/2.74 (~(X!1 = cell55)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3206, 12907])).
% 2.70/2.74 tff(12909,plain,
% 2.70/2.74 ((~(X!1 = cell55)) | (~(Y!0 = cell54))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9709, 12908])).
% 2.70/2.74 tff(12910,plain,
% 2.70/2.74 ((cell58 = cell12) <=> (cell58 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12911,plain,
% 2.70/2.74 ((cell58 = cell12) <=> (X!1 = cell58)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12910, 6472])).
% 2.70/2.74 tff(12912,plain,
% 2.70/2.74 ((~(cell58 = cell12)) <=> (~(X!1 = cell58))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12911])).
% 2.70/2.74 tff(12913,plain,
% 2.70/2.74 (~(X!1 = cell58)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3239, 12912])).
% 2.70/2.74 tff(12914,plain,
% 2.70/2.74 ((~(X!1 = cell58)) | (~(Y!0 = cell57))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9736, 12913])).
% 2.70/2.74 tff(12915,plain,
% 2.70/2.74 ((cell59 = cell12) <=> (cell59 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12916,plain,
% 2.70/2.74 ((cell59 = cell12) <=> (X!1 = cell59)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12915, 6464])).
% 2.70/2.74 tff(12917,plain,
% 2.70/2.74 ((~(cell59 = cell12)) <=> (~(X!1 = cell59))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12916])).
% 2.70/2.74 tff(12918,plain,
% 2.70/2.74 (~(X!1 = cell59)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3250, 12917])).
% 2.70/2.74 tff(12919,plain,
% 2.70/2.74 ((~(X!1 = cell59)) | (~(Y!0 = cell58))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9745, 12918])).
% 2.70/2.74 tff(12920,plain,
% 2.70/2.74 ((cell60 = cell12) <=> (cell60 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12921,plain,
% 2.70/2.74 ((cell60 = cell12) <=> (X!1 = cell60)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12920, 6456])).
% 2.70/2.74 tff(12922,plain,
% 2.70/2.74 ((~(cell60 = cell12)) <=> (~(X!1 = cell60))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12921])).
% 2.70/2.74 tff(12923,plain,
% 2.70/2.74 (~(X!1 = cell60)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3679, 12922])).
% 2.70/2.74 tff(12924,plain,
% 2.70/2.74 ((~(X!1 = cell60)) | (~(Y!0 = cell59))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9754, 12923])).
% 2.70/2.74 tff(12925,plain,
% 2.70/2.74 ((cell68 = cell12) <=> (cell68 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12926,plain,
% 2.70/2.74 ((cell68 = cell12) <=> (X!1 = cell68)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12925, 6400])).
% 2.70/2.74 tff(12927,plain,
% 2.70/2.74 ((~(cell68 = cell12)) <=> (~(X!1 = cell68))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12926])).
% 2.70/2.74 tff(12928,plain,
% 2.70/2.74 (~(X!1 = cell68)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3338, 12927])).
% 2.70/2.74 tff(12929,plain,
% 2.70/2.74 ((~(X!1 = cell68)) | (~(Y!0 = cell67))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9817, 12928])).
% 2.70/2.74 tff(12930,plain,
% 2.70/2.74 ((cell73 = cell12) <=> (cell73 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12931,plain,
% 2.70/2.74 ((cell73 = cell12) <=> (X!1 = cell73)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12930, 6372])).
% 2.70/2.74 tff(12932,plain,
% 2.70/2.74 ((~(cell73 = cell12)) <=> (~(X!1 = cell73))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12931])).
% 2.70/2.74 tff(12933,plain,
% 2.70/2.74 (~(X!1 = cell73)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3379, 12932])).
% 2.70/2.74 tff(12934,plain,
% 2.70/2.74 ((~(X!1 = cell73)) | (~(Y!0 = cell72))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9844, 12933])).
% 2.70/2.74 tff(12935,plain,
% 2.70/2.74 ((cell74 = cell12) <=> (cell74 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12936,plain,
% 2.70/2.74 ((cell74 = cell12) <=> (X!1 = cell74)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12935, 6364])).
% 2.70/2.74 tff(12937,plain,
% 2.70/2.74 ((~(cell74 = cell12)) <=> (~(X!1 = cell74))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12936])).
% 2.70/2.74 tff(12938,plain,
% 2.70/2.74 (~(X!1 = cell74)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3390, 12937])).
% 2.70/2.74 tff(12939,plain,
% 2.70/2.74 ((~(X!1 = cell74)) | (~(Y!0 = cell73))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9853, 12938])).
% 2.70/2.74 tff(12940,plain,
% 2.70/2.74 ((cell76 = cell12) <=> (cell76 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12941,plain,
% 2.70/2.74 ((cell76 = cell12) <=> (X!1 = cell76)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12940, 6348])).
% 2.70/2.74 tff(12942,plain,
% 2.70/2.74 ((~(cell76 = cell12)) <=> (~(X!1 = cell76))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12941])).
% 2.70/2.74 tff(12943,plain,
% 2.70/2.74 (~(X!1 = cell76)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3412, 12942])).
% 2.70/2.74 tff(12944,plain,
% 2.70/2.74 ((~(X!1 = cell76)) | (~(Y!0 = cell75))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9871, 12943])).
% 2.70/2.74 tff(12945,plain,
% 2.70/2.74 ((~(X!1 = cell78)) | (~(Y!0 = cell77))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[8872, 1195])).
% 2.70/2.74 tff(12946,plain,
% 2.70/2.74 ((cell79 = cell12) <=> (cell79 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12947,plain,
% 2.70/2.74 ((cell79 = cell12) <=> (X!1 = cell79)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12946, 3849])).
% 2.70/2.74 tff(12948,plain,
% 2.70/2.74 ((~(cell79 = cell12)) <=> (~(X!1 = cell79))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12947])).
% 2.70/2.74 tff(12949,plain,
% 2.70/2.74 (~(X!1 = cell79)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[139, 12948])).
% 2.70/2.74 tff(12950,plain,
% 2.70/2.74 ((~(X!1 = cell79)) | (~(Y!0 = cell78))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9882, 12949])).
% 2.70/2.74 tff(12951,plain,
% 2.70/2.74 ((cell83 = cell12) <=> (cell83 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12952,plain,
% 2.70/2.74 ((cell83 = cell12) <=> (X!1 = cell83)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12951, 6298])).
% 2.70/2.74 tff(12953,plain,
% 2.70/2.74 ((~(cell83 = cell12)) <=> (~(X!1 = cell83))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12952])).
% 2.70/2.74 tff(12954,plain,
% 2.70/2.74 (~(X!1 = cell83)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3464, 12953])).
% 2.70/2.74 tff(12955,plain,
% 2.70/2.74 ((~(X!1 = cell83)) | (~(Y!0 = cell82))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9906, 12954])).
% 2.70/2.74 tff(12956,plain,
% 2.70/2.74 ((cell87 = cell12) <=> (cell87 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12957,plain,
% 2.70/2.74 ((cell87 = cell12) <=> (X!1 = cell87)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12956, 6266])).
% 2.70/2.74 tff(12958,plain,
% 2.70/2.74 ((~(cell87 = cell12)) <=> (~(X!1 = cell87))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12957])).
% 2.70/2.74 tff(12959,plain,
% 2.70/2.74 (~(X!1 = cell87)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3756, 12958])).
% 2.70/2.74 tff(12960,plain,
% 2.70/2.74 ((~(X!1 = cell87)) | (~(Y!0 = cell86))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9942, 12959])).
% 2.70/2.74 tff(12961,plain,
% 2.70/2.74 ((~(X!1 = cell98)) | (~(Y!0 = cell97))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9961, 12848])).
% 2.70/2.74 tff(12962,plain,
% 2.70/2.74 ((~(X!1 = cell16)) | (~(Y!0 = cell6))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9979, 12863])).
% 2.70/2.74 tff(12963,plain,
% 2.70/2.74 ((~(X!1 = cell33)) | (~(Y!0 = cell23))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10024, 12873])).
% 2.70/2.74 tff(12964,plain,
% 2.70/2.74 ((~(X!1 = cell34)) | (~(Y!0 = cell24))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10026, 12878])).
% 2.70/2.74 tff(12965,plain,
% 2.70/2.74 ((~(X!1 = cell37)) | (~(Y!0 = cell27))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10032, 12883])).
% 2.70/2.74 tff(12966,plain,
% 2.70/2.74 ((~(X!1 = cell40)) | (~(Y!0 = cell30))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10038, 12888])).
% 2.70/2.74 tff(12967,plain,
% 2.70/2.74 ((~(X!1 = cell45)) | (~(Y!0 = cell35))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10055, 12893])).
% 2.70/2.74 tff(12968,plain,
% 2.70/2.74 ((~(X!1 = cell47)) | (~(Y!0 = cell37))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10059, 12898])).
% 2.70/2.74 tff(12969,plain,
% 2.70/2.74 ((~(X!1 = cell49)) | (~(Y!0 = cell39))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10063, 12903])).
% 2.70/2.74 tff(12970,plain,
% 2.70/2.74 ((~(X!1 = cell55)) | (~(Y!0 = cell45))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10082, 12908])).
% 2.70/2.74 tff(12971,plain,
% 2.70/2.74 ((~(X!1 = cell58)) | (~(Y!0 = cell48))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10088, 12913])).
% 2.70/2.74 tff(12972,plain,
% 2.70/2.74 ((~(X!1 = cell59)) | (~(Y!0 = cell49))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10090, 12918])).
% 2.70/2.74 tff(12973,plain,
% 2.70/2.74 ((~(X!1 = cell60)) | (~(Y!0 = cell50))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10092, 12923])).
% 2.70/2.74 tff(12974,plain,
% 2.70/2.74 ((cell61 = cell12) <=> (cell61 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12975,plain,
% 2.70/2.74 ((cell61 = cell12) <=> (X!1 = cell61)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12974, 6153])).
% 2.70/2.74 tff(12976,plain,
% 2.70/2.74 ((~(cell61 = cell12)) <=> (~(X!1 = cell61))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12975])).
% 2.70/2.74 tff(12977,plain,
% 2.70/2.74 (~(X!1 = cell61)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3261, 12976])).
% 2.70/2.74 tff(12978,plain,
% 2.70/2.74 ((~(X!1 = cell61)) | (~(Y!0 = cell51))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10101, 12977])).
% 2.70/2.74 tff(12979,plain,
% 2.70/2.74 ((~(X!1 = cell68)) | (~(Y!0 = cell58))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10115, 12928])).
% 2.70/2.74 tff(12980,plain,
% 2.70/2.74 ((~(X!1 = cell73)) | (~(Y!0 = cell63))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10130, 12933])).
% 2.70/2.74 tff(12981,plain,
% 2.70/2.74 ((~(X!1 = cell74)) | (~(Y!0 = cell64))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10132, 12938])).
% 2.70/2.74 tff(12982,plain,
% 2.70/2.74 ((~(X!1 = cell76)) | (~(Y!0 = cell66))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10136, 12943])).
% 2.70/2.74 tff(12983,plain,
% 2.70/2.74 ((~(X!1 = cell78)) | (~(Y!0 = cell68))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9247, 1195])).
% 2.70/2.74 tff(12984,plain,
% 2.70/2.74 ((~(X!1 = cell79)) | (~(Y!0 = cell69))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10140, 12949])).
% 2.70/2.74 tff(12985,plain,
% 2.70/2.74 ((~(X!1 = cell83)) | (~(Y!0 = cell73))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10154, 12954])).
% 2.70/2.74 tff(12986,plain,
% 2.70/2.74 ((~(X!1 = cell87)) | (~(Y!0 = cell77))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10162, 12959])).
% 2.70/2.74 tff(12987,plain,
% 2.70/2.74 ((cell90 = cell12) <=> (cell90 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12988,plain,
% 2.70/2.74 ((cell90 = cell12) <=> (X!1 = cell90)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12987, 3947])).
% 2.70/2.74 tff(12989,plain,
% 2.70/2.74 ((~(cell90 = cell12)) <=> (~(X!1 = cell90))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12988])).
% 2.70/2.74 tff(12990,plain,
% 2.70/2.74 (~(X!1 = cell90)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2612, 12989])).
% 2.70/2.74 tff(12991,plain,
% 2.70/2.74 ((~(X!1 = cell90)) | (~(Y!0 = cell80))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10167, 12990])).
% 2.70/2.74 tff(12992,plain,
% 2.70/2.74 ((cell91 = cell12) <=> (cell91 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(12993,plain,
% 2.70/2.74 ((cell91 = cell12) <=> (X!1 = cell91)),
% 2.70/2.74 inference(transitivity,[status(thm)],[12992, 5699])).
% 2.70/2.74 tff(12994,plain,
% 2.70/2.74 ((~(cell91 = cell12)) <=> (~(X!1 = cell91))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12993])).
% 2.70/2.74 tff(12995,plain,
% 2.70/2.74 ((~(cell91 = cell12)) <=> (~(cell91 = cell12))),
% 2.70/2.74 inference(rewrite,[status(thm)],[])).
% 2.70/2.74 tff(12996,axiom,(~(cell91 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45740')).
% 2.70/2.74 tff(12997,plain,
% 2.70/2.74 (~(cell91 = cell12)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[12996, 12995])).
% 2.70/2.74 tff(12998,plain,
% 2.70/2.74 (~(X!1 = cell91)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[12997, 12994])).
% 2.70/2.74 tff(12999,plain,
% 2.70/2.74 ((~(X!1 = cell91)) | (~(Y!0 = cell81))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[10176, 12998])).
% 2.70/2.74 tff(13000,plain,
% 2.70/2.74 ((cell100 = cell12) <=> (cell100 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.74 tff(13001,plain,
% 2.70/2.74 ((cell100 = cell12) <=> (X!1 = cell100)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13000, 6840])).
% 2.70/2.74 tff(13002,plain,
% 2.70/2.74 ((~(cell100 = cell12)) <=> (~(X!1 = cell100))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13001])).
% 2.70/2.74 tff(13003,plain,
% 2.70/2.74 (~(X!1 = cell100)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[6101, 13002])).
% 2.70/2.74 tff(13004,plain,
% 2.70/2.74 ((~(X!1 = cell100)) | (~(Y!0 = cell90))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9888, 13003])).
% 2.70/2.74 tff(13005,plain,
% 2.70/2.74 ((cell12 = cell2) <=> (X!1 = cell2)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13006,plain,
% 2.70/2.74 ((~(cell12 = cell2)) <=> (~(X!1 = cell2))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13005])).
% 2.70/2.74 tff(13007,plain,
% 2.70/2.74 (~(X!1 = cell2)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2715, 13006])).
% 2.70/2.74 tff(13008,plain,
% 2.70/2.74 (((~(X!1 = cell2)) | (~(Y!0 = cell1))) | (X!1 = cell2)),
% 2.70/2.74 inference(tautology,[status(thm)],[])).
% 2.70/2.74 tff(13009,plain,
% 2.70/2.74 ((~(X!1 = cell2)) | (~(Y!0 = cell1))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[13008, 13007])).
% 2.70/2.74 tff(13010,plain,
% 2.70/2.74 ((cell3 = X!1) <=> (X!1 = cell3)),
% 2.70/2.74 inference(commutativity,[status(thm)],[])).
% 2.70/2.74 tff(13011,plain,
% 2.70/2.74 ((cell3 = cell12) <=> (cell3 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13012,plain,
% 2.70/2.74 ((cell3 = cell12) <=> (X!1 = cell3)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13011, 13010])).
% 2.70/2.74 tff(13013,plain,
% 2.70/2.74 ((~(cell3 = cell12)) <=> (~(X!1 = cell3))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13012])).
% 2.70/2.74 tff(13014,plain,
% 2.70/2.74 (~(X!1 = cell3)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2726, 13013])).
% 2.70/2.74 tff(13015,plain,
% 2.70/2.74 (((~(X!1 = cell3)) | (~(Y!0 = cell2))) | (X!1 = cell3)),
% 2.70/2.74 inference(tautology,[status(thm)],[])).
% 2.70/2.74 tff(13016,plain,
% 2.70/2.74 ((~(X!1 = cell3)) | (~(Y!0 = cell2))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[13015, 13014])).
% 2.70/2.74 tff(13017,plain,
% 2.70/2.74 ((cell4 = cell12) <=> (cell4 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13018,plain,
% 2.70/2.74 ((cell4 = cell12) <=> (X!1 = cell4)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13017, 6824])).
% 2.70/2.74 tff(13019,plain,
% 2.70/2.74 ((~(cell4 = cell12)) <=> (~(X!1 = cell4))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13018])).
% 2.70/2.74 tff(13020,plain,
% 2.70/2.74 (~(X!1 = cell4)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2737, 13019])).
% 2.70/2.74 tff(13021,plain,
% 2.70/2.74 ((~(X!1 = cell4)) | (~(Y!0 = cell3))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9324, 13020])).
% 2.70/2.74 tff(13022,plain,
% 2.70/2.74 ((cell6 = cell12) <=> (cell6 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13023,plain,
% 2.70/2.74 ((cell6 = cell12) <=> (X!1 = cell6)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13022, 6808])).
% 2.70/2.74 tff(13024,plain,
% 2.70/2.74 ((~(cell6 = cell12)) <=> (~(X!1 = cell6))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13023])).
% 2.70/2.74 tff(13025,plain,
% 2.70/2.74 (~(X!1 = cell6)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2759, 13024])).
% 2.70/2.74 tff(13026,plain,
% 2.70/2.74 ((~(X!1 = cell6)) | (~(Y!0 = cell5))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9342, 13025])).
% 2.70/2.74 tff(13027,plain,
% 2.70/2.74 ((cell7 = cell12) <=> (cell7 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13028,plain,
% 2.70/2.74 ((cell7 = cell12) <=> (X!1 = cell7)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13027, 6800])).
% 2.70/2.74 tff(13029,plain,
% 2.70/2.74 ((~(cell7 = cell12)) <=> (~(X!1 = cell7))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13028])).
% 2.70/2.74 tff(13030,plain,
% 2.70/2.74 (~(X!1 = cell7)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2770, 13029])).
% 2.70/2.74 tff(13031,plain,
% 2.70/2.74 ((~(X!1 = cell7)) | (~(Y!0 = cell6))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9351, 13030])).
% 2.70/2.74 tff(13032,plain,
% 2.70/2.74 ((cell8 = cell12) <=> (cell8 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13033,plain,
% 2.70/2.74 ((cell8 = cell12) <=> (X!1 = cell8)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13032, 6792])).
% 2.70/2.74 tff(13034,plain,
% 2.70/2.74 ((~(cell8 = cell12)) <=> (~(X!1 = cell8))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13033])).
% 2.70/2.74 tff(13035,plain,
% 2.70/2.74 (~(X!1 = cell8)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2781, 13034])).
% 2.70/2.74 tff(13036,plain,
% 2.70/2.74 ((~(X!1 = cell8)) | (~(Y!0 = cell7))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9360, 13035])).
% 2.70/2.74 tff(13037,plain,
% 2.70/2.74 ((cell10 = cell12) <=> (cell10 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13038,plain,
% 2.70/2.74 ((cell10 = cell12) <=> (X!1 = cell10)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13037, 6776])).
% 2.70/2.74 tff(13039,plain,
% 2.70/2.74 ((~(cell10 = cell12)) <=> (~(X!1 = cell10))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13038])).
% 2.70/2.74 tff(13040,plain,
% 2.70/2.74 (~(X!1 = cell10)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3520, 13039])).
% 2.70/2.74 tff(13041,plain,
% 2.70/2.74 ((~(X!1 = cell10)) | (~(Y!0 = cell9))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9378, 13040])).
% 2.70/2.74 tff(13042,plain,
% 2.70/2.74 ((cell96 = cell12) <=> (cell96 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13043,plain,
% 2.70/2.74 ((cell96 = cell12) <=> (X!1 = cell96)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13042, 3901])).
% 2.70/2.74 tff(13044,plain,
% 2.70/2.74 ((~(cell96 = cell12)) <=> (~(X!1 = cell96))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13043])).
% 2.70/2.74 tff(13045,plain,
% 2.70/2.74 (~(X!1 = cell96)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2269, 13044])).
% 2.70/2.74 tff(13046,plain,
% 2.70/2.74 ((~(X!1 = cell96)) | (~(Y!0 = cell86))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9380, 13045])).
% 2.70/2.74 tff(13047,plain,
% 2.70/2.74 ((cell12 = cell13) <=> (X!1 = cell13)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13048,plain,
% 2.70/2.74 ((~(cell12 = cell13)) <=> (~(X!1 = cell13))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13047])).
% 2.70/2.74 tff(13049,plain,
% 2.70/2.74 (~(X!1 = cell13)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2801, 13048])).
% 2.70/2.74 tff(13050,plain,
% 2.70/2.74 ((~(X!1 = cell13)) | (~(Y!0 = cell12))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[8263, 13049])).
% 2.70/2.74 tff(13051,plain,
% 2.70/2.74 ((cell15 = cell12) <=> (cell15 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13052,plain,
% 2.70/2.74 ((cell15 = cell12) <=> (X!1 = cell15)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13051, 6768])).
% 2.70/2.74 tff(13053,plain,
% 2.70/2.74 ((~(cell15 = cell12)) <=> (~(X!1 = cell15))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13052])).
% 2.70/2.74 tff(13054,plain,
% 2.70/2.74 (~(X!1 = cell15)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2823, 13053])).
% 2.70/2.74 tff(13055,plain,
% 2.70/2.74 ((~(X!1 = cell15)) | (~(Y!0 = cell14))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9396, 13054])).
% 2.70/2.74 tff(13056,plain,
% 2.70/2.74 ((cell17 = cell12) <=> (cell17 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13057,plain,
% 2.70/2.74 ((cell17 = cell12) <=> (X!1 = cell17)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13056, 6752])).
% 2.70/2.74 tff(13058,plain,
% 2.70/2.74 ((~(cell17 = cell12)) <=> (~(X!1 = cell17))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13057])).
% 2.70/2.74 tff(13059,plain,
% 2.70/2.74 (~(X!1 = cell17)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2845, 13058])).
% 2.70/2.74 tff(13060,plain,
% 2.70/2.74 ((~(X!1 = cell17)) | (~(Y!0 = cell16))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9414, 13059])).
% 2.70/2.74 tff(13061,plain,
% 2.70/2.74 ((cell18 = cell12) <=> (cell18 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13062,plain,
% 2.70/2.74 ((cell18 = cell12) <=> (X!1 = cell18)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13061, 6744])).
% 2.70/2.74 tff(13063,plain,
% 2.70/2.74 ((~(cell18 = cell12)) <=> (~(X!1 = cell18))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13062])).
% 2.70/2.74 tff(13064,plain,
% 2.70/2.74 (~(X!1 = cell18)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2856, 13063])).
% 2.70/2.74 tff(13065,plain,
% 2.70/2.74 ((~(X!1 = cell18)) | (~(Y!0 = cell17))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9423, 13064])).
% 2.70/2.74 tff(13066,plain,
% 2.70/2.74 ((cell19 = cell12) <=> (cell19 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13067,plain,
% 2.70/2.74 ((cell19 = cell12) <=> (X!1 = cell19)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13066, 6736])).
% 2.70/2.74 tff(13068,plain,
% 2.70/2.74 ((~(cell19 = cell12)) <=> (~(X!1 = cell19))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13067])).
% 2.70/2.74 tff(13069,plain,
% 2.70/2.74 (~(X!1 = cell19)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2867, 13068])).
% 2.70/2.74 tff(13070,plain,
% 2.70/2.74 ((~(X!1 = cell19)) | (~(Y!0 = cell18))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9432, 13069])).
% 2.70/2.74 tff(13071,plain,
% 2.70/2.74 ((cell20 = cell12) <=> (cell20 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13072,plain,
% 2.70/2.74 ((cell20 = cell12) <=> (X!1 = cell20)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13071, 6728])).
% 2.70/2.74 tff(13073,plain,
% 2.70/2.74 ((~(cell20 = cell12)) <=> (~(X!1 = cell20))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13072])).
% 2.70/2.74 tff(13074,plain,
% 2.70/2.74 (~(X!1 = cell20)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[3554, 13073])).
% 2.70/2.74 tff(13075,plain,
% 2.70/2.74 ((~(X!1 = cell20)) | (~(Y!0 = cell19))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9441, 13074])).
% 2.70/2.74 tff(13076,plain,
% 2.70/2.74 ((cell12 = cell22) <=> (X!1 = cell22)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13077,plain,
% 2.70/2.74 ((cell12 = cell22) <=> (cell22 = X!1)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13076, 7436])).
% 2.70/2.74 tff(13078,plain,
% 2.70/2.74 ((cell12 = cell22) <=> (X!1 = cell22)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13077, 7437])).
% 2.70/2.74 tff(13079,plain,
% 2.70/2.74 ((~(cell12 = cell22)) <=> (~(X!1 = cell22))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13078])).
% 2.70/2.74 tff(13080,plain,
% 2.70/2.74 (~(X!1 = cell22)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2876, 13079])).
% 2.70/2.74 tff(13081,plain,
% 2.70/2.74 ((~(X!1 = cell22)) | (~(Y!0 = cell21))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9448, 13080])).
% 2.70/2.74 tff(13082,plain,
% 2.70/2.74 ((cell24 = cell12) <=> (cell24 = X!1)),
% 2.70/2.74 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.74 tff(13083,plain,
% 2.70/2.74 ((cell24 = cell12) <=> (X!1 = cell24)),
% 2.70/2.74 inference(transitivity,[status(thm)],[13082, 6720])).
% 2.70/2.74 tff(13084,plain,
% 2.70/2.74 ((~(cell24 = cell12)) <=> (~(X!1 = cell24))),
% 2.70/2.74 inference(monotonicity,[status(thm)],[13083])).
% 2.70/2.74 tff(13085,plain,
% 2.70/2.74 (~(X!1 = cell24)),
% 2.70/2.74 inference(modus_ponens,[status(thm)],[2898, 13084])).
% 2.70/2.74 tff(13086,plain,
% 2.70/2.74 ((~(X!1 = cell24)) | (~(Y!0 = cell23))),
% 2.70/2.74 inference(unit_resolution,[status(thm)],[9457, 13085])).
% 2.70/2.74 tff(13087,plain,
% 2.70/2.74 ((cell25 = cell12) <=> (cell25 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13088,plain,
% 2.70/2.75 ((cell25 = cell12) <=> (X!1 = cell25)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13087, 6712])).
% 2.70/2.75 tff(13089,plain,
% 2.70/2.75 ((~(cell25 = cell12)) <=> (~(X!1 = cell25))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13088])).
% 2.70/2.75 tff(13090,plain,
% 2.70/2.75 (~(X!1 = cell25)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2909, 13089])).
% 2.70/2.75 tff(13091,plain,
% 2.70/2.75 ((~(X!1 = cell25)) | (~(Y!0 = cell24))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9466, 13090])).
% 2.70/2.75 tff(13092,plain,
% 2.70/2.75 ((cell26 = cell12) <=> (cell26 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13093,plain,
% 2.70/2.75 ((cell26 = cell12) <=> (X!1 = cell26)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13092, 6704])).
% 2.70/2.75 tff(13094,plain,
% 2.70/2.75 ((~(cell26 = cell12)) <=> (~(X!1 = cell26))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13093])).
% 2.70/2.75 tff(13095,plain,
% 2.70/2.75 (~(X!1 = cell26)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2920, 13094])).
% 2.70/2.75 tff(13096,plain,
% 2.70/2.75 ((~(X!1 = cell26)) | (~(Y!0 = cell25))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9475, 13095])).
% 2.70/2.75 tff(13097,plain,
% 2.70/2.75 ((cell27 = cell12) <=> (cell27 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13098,plain,
% 2.70/2.75 ((cell27 = cell12) <=> (X!1 = cell27)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13097, 6696])).
% 2.70/2.75 tff(13099,plain,
% 2.70/2.75 ((~(cell27 = cell12)) <=> (~(X!1 = cell27))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13098])).
% 2.70/2.75 tff(13100,plain,
% 2.70/2.75 (~(X!1 = cell27)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2931, 13099])).
% 2.70/2.75 tff(13101,plain,
% 2.70/2.75 ((~(X!1 = cell27)) | (~(Y!0 = cell26))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9484, 13100])).
% 2.70/2.75 tff(13102,plain,
% 2.70/2.75 ((cell28 = cell12) <=> (cell28 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13103,plain,
% 2.70/2.75 ((cell28 = cell12) <=> (X!1 = cell28)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13102, 6688])).
% 2.70/2.75 tff(13104,plain,
% 2.70/2.75 ((~(cell28 = cell12)) <=> (~(X!1 = cell28))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13103])).
% 2.70/2.75 tff(13105,plain,
% 2.70/2.75 (~(X!1 = cell28)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2942, 13104])).
% 2.70/2.75 tff(13106,plain,
% 2.70/2.75 ((~(X!1 = cell28)) | (~(Y!0 = cell27))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9493, 13105])).
% 2.70/2.75 tff(13107,plain,
% 2.70/2.75 ((cell29 = cell12) <=> (cell29 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13108,plain,
% 2.70/2.75 ((cell29 = cell12) <=> (X!1 = cell29)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13107, 6680])).
% 2.70/2.75 tff(13109,plain,
% 2.70/2.75 ((~(cell29 = cell12)) <=> (~(X!1 = cell29))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13108])).
% 2.70/2.75 tff(13110,plain,
% 2.70/2.75 (~(X!1 = cell29)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2953, 13109])).
% 2.70/2.75 tff(13111,plain,
% 2.70/2.75 ((~(X!1 = cell29)) | (~(Y!0 = cell28))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9502, 13110])).
% 2.70/2.75 tff(13112,plain,
% 2.70/2.75 ((cell30 = cell12) <=> (cell30 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13113,plain,
% 2.70/2.75 ((cell30 = cell12) <=> (X!1 = cell30)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13112, 6672])).
% 2.70/2.75 tff(13114,plain,
% 2.70/2.75 ((~(cell30 = cell12)) <=> (~(X!1 = cell30))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13113])).
% 2.70/2.75 tff(13115,plain,
% 2.70/2.75 (~(X!1 = cell30)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3592, 13114])).
% 2.70/2.75 tff(13116,plain,
% 2.70/2.75 ((~(X!1 = cell30)) | (~(Y!0 = cell29))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9511, 13115])).
% 2.70/2.75 tff(13117,plain,
% 2.70/2.75 ((cell35 = cell12) <=> (cell35 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13118,plain,
% 2.70/2.75 ((cell35 = cell12) <=> (X!1 = cell35)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13117, 6640])).
% 2.70/2.75 tff(13119,plain,
% 2.70/2.75 ((~(cell35 = cell12)) <=> (~(X!1 = cell35))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13118])).
% 2.70/2.75 tff(13120,plain,
% 2.70/2.75 (~(X!1 = cell35)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3008, 13119])).
% 2.70/2.75 tff(13121,plain,
% 2.70/2.75 ((~(X!1 = cell35)) | (~(Y!0 = cell34))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9547, 13120])).
% 2.70/2.75 tff(13122,plain,
% 2.70/2.75 ((cell36 = cell12) <=> (cell36 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13123,plain,
% 2.70/2.75 ((cell36 = cell12) <=> (X!1 = cell36)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13122, 6632])).
% 2.70/2.75 tff(13124,plain,
% 2.70/2.75 ((~(cell36 = cell12)) <=> (~(X!1 = cell36))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13123])).
% 2.70/2.75 tff(13125,plain,
% 2.70/2.75 (~(X!1 = cell36)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3019, 13124])).
% 2.70/2.75 tff(13126,plain,
% 2.70/2.75 ((~(X!1 = cell36)) | (~(Y!0 = cell35))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9556, 13125])).
% 2.70/2.75 tff(13127,plain,
% 2.70/2.75 ((cell38 = cell12) <=> (cell38 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13128,plain,
% 2.70/2.75 ((cell38 = cell12) <=> (X!1 = cell38)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13127, 6616])).
% 2.70/2.75 tff(13129,plain,
% 2.70/2.75 ((~(cell38 = cell12)) <=> (~(X!1 = cell38))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13128])).
% 2.70/2.75 tff(13130,plain,
% 2.70/2.75 (~(X!1 = cell38)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3041, 13129])).
% 2.70/2.75 tff(13131,plain,
% 2.70/2.75 ((~(X!1 = cell38)) | (~(Y!0 = cell37))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9574, 13130])).
% 2.70/2.75 tff(13132,plain,
% 2.70/2.75 ((cell39 = cell12) <=> (cell39 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13133,plain,
% 2.70/2.75 ((cell39 = cell12) <=> (X!1 = cell39)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13132, 6608])).
% 2.70/2.75 tff(13134,plain,
% 2.70/2.75 ((~(cell39 = cell12)) <=> (~(X!1 = cell39))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13133])).
% 2.70/2.75 tff(13135,plain,
% 2.70/2.75 (~(X!1 = cell39)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3052, 13134])).
% 2.70/2.75 tff(13136,plain,
% 2.70/2.75 ((~(X!1 = cell39)) | (~(Y!0 = cell38))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9583, 13135])).
% 2.70/2.75 tff(13137,plain,
% 2.70/2.75 ((cell42 = cell12) <=> (cell42 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13138,plain,
% 2.70/2.75 ((cell42 = cell12) <=> (X!1 = cell42)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13137, 6592])).
% 2.70/2.75 tff(13139,plain,
% 2.70/2.75 ((~(cell42 = cell12)) <=> (~(X!1 = cell42))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13138])).
% 2.70/2.75 tff(13140,plain,
% 2.70/2.75 (~(X!1 = cell42)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3074, 13139])).
% 2.70/2.75 tff(13141,plain,
% 2.70/2.75 ((~(X!1 = cell42)) | (~(Y!0 = cell41))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9601, 13140])).
% 2.70/2.75 tff(13142,plain,
% 2.70/2.75 ((cell43 = cell12) <=> (cell43 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13143,plain,
% 2.70/2.75 ((cell43 = cell12) <=> (X!1 = cell43)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13142, 6584])).
% 2.70/2.75 tff(13144,plain,
% 2.70/2.75 ((~(cell43 = cell12)) <=> (~(X!1 = cell43))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13143])).
% 2.70/2.75 tff(13145,plain,
% 2.70/2.75 (~(X!1 = cell43)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3085, 13144])).
% 2.70/2.75 tff(13146,plain,
% 2.70/2.75 ((~(X!1 = cell43)) | (~(Y!0 = cell42))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9610, 13145])).
% 2.70/2.75 tff(13147,plain,
% 2.70/2.75 ((cell44 = cell12) <=> (cell44 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13148,plain,
% 2.70/2.75 ((cell44 = cell12) <=> (X!1 = cell44)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13147, 6576])).
% 2.70/2.75 tff(13149,plain,
% 2.70/2.75 ((~(cell44 = cell12)) <=> (~(X!1 = cell44))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13148])).
% 2.70/2.75 tff(13150,plain,
% 2.70/2.75 (~(X!1 = cell44)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3096, 13149])).
% 2.70/2.75 tff(13151,plain,
% 2.70/2.75 ((~(X!1 = cell44)) | (~(Y!0 = cell43))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9619, 13150])).
% 2.70/2.75 tff(13152,plain,
% 2.70/2.75 ((cell46 = cell12) <=> (cell46 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13153,plain,
% 2.70/2.75 ((cell46 = cell12) <=> (X!1 = cell46)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13152, 6560])).
% 2.70/2.75 tff(13154,plain,
% 2.70/2.75 ((~(cell46 = cell12)) <=> (~(X!1 = cell46))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13153])).
% 2.70/2.75 tff(13155,plain,
% 2.70/2.75 (~(X!1 = cell46)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3118, 13154])).
% 2.70/2.75 tff(13156,plain,
% 2.70/2.75 ((~(X!1 = cell46)) | (~(Y!0 = cell45))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9637, 13155])).
% 2.70/2.75 tff(13157,plain,
% 2.70/2.75 ((cell48 = cell12) <=> (cell48 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13158,plain,
% 2.70/2.75 ((cell48 = cell12) <=> (X!1 = cell48)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13157, 6544])).
% 2.70/2.75 tff(13159,plain,
% 2.70/2.75 ((~(cell48 = cell12)) <=> (~(X!1 = cell48))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13158])).
% 2.70/2.75 tff(13160,plain,
% 2.70/2.75 (~(X!1 = cell48)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3140, 13159])).
% 2.70/2.75 tff(13161,plain,
% 2.70/2.75 ((~(X!1 = cell48)) | (~(Y!0 = cell47))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9655, 13160])).
% 2.70/2.75 tff(13162,plain,
% 2.70/2.75 ((cell50 = cell12) <=> (cell50 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13163,plain,
% 2.70/2.75 ((cell50 = cell12) <=> (X!1 = cell50)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13162, 6528])).
% 2.70/2.75 tff(13164,plain,
% 2.70/2.75 ((~(cell50 = cell12)) <=> (~(X!1 = cell50))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13163])).
% 2.70/2.75 tff(13165,plain,
% 2.70/2.75 (~(X!1 = cell50)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3650, 13164])).
% 2.70/2.75 tff(13166,plain,
% 2.70/2.75 ((~(X!1 = cell50)) | (~(Y!0 = cell49))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9673, 13165])).
% 2.70/2.75 tff(13167,plain,
% 2.70/2.75 ((cell52 = cell12) <=> (cell52 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13168,plain,
% 2.70/2.75 ((cell52 = cell12) <=> (X!1 = cell52)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13167, 6520])).
% 2.70/2.75 tff(13169,plain,
% 2.70/2.75 ((~(cell52 = cell12)) <=> (~(X!1 = cell52))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13168])).
% 2.70/2.75 tff(13170,plain,
% 2.70/2.75 (~(X!1 = cell52)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3173, 13169])).
% 2.70/2.75 tff(13171,plain,
% 2.70/2.75 ((~(X!1 = cell52)) | (~(Y!0 = cell51))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9682, 13170])).
% 2.70/2.75 tff(13172,plain,
% 2.70/2.75 ((cell53 = cell12) <=> (cell53 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13173,plain,
% 2.70/2.75 ((cell53 = cell12) <=> (X!1 = cell53)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13172, 6512])).
% 2.70/2.75 tff(13174,plain,
% 2.70/2.75 ((~(cell53 = cell12)) <=> (~(X!1 = cell53))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13173])).
% 2.70/2.75 tff(13175,plain,
% 2.70/2.75 (~(X!1 = cell53)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3184, 13174])).
% 2.70/2.75 tff(13176,plain,
% 2.70/2.75 ((~(X!1 = cell53)) | (~(Y!0 = cell52))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9691, 13175])).
% 2.70/2.75 tff(13177,plain,
% 2.70/2.75 ((cell54 = cell12) <=> (cell54 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13178,plain,
% 2.70/2.75 ((cell54 = cell12) <=> (X!1 = cell54)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13177, 6504])).
% 2.70/2.75 tff(13179,plain,
% 2.70/2.75 ((~(cell54 = cell12)) <=> (~(X!1 = cell54))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13178])).
% 2.70/2.75 tff(13180,plain,
% 2.70/2.75 (~(X!1 = cell54)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3195, 13179])).
% 2.70/2.75 tff(13181,plain,
% 2.70/2.75 ((~(X!1 = cell54)) | (~(Y!0 = cell53))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9700, 13180])).
% 2.70/2.75 tff(13182,plain,
% 2.70/2.75 ((cell56 = cell12) <=> (cell56 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13183,plain,
% 2.70/2.75 ((cell56 = cell12) <=> (X!1 = cell56)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13182, 6488])).
% 2.70/2.75 tff(13184,plain,
% 2.70/2.75 ((~(cell56 = cell12)) <=> (~(X!1 = cell56))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13183])).
% 2.70/2.75 tff(13185,plain,
% 2.70/2.75 (~(X!1 = cell56)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3217, 13184])).
% 2.70/2.75 tff(13186,plain,
% 2.70/2.75 ((~(X!1 = cell56)) | (~(Y!0 = cell55))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9718, 13185])).
% 2.70/2.75 tff(13187,plain,
% 2.70/2.75 ((cell57 = cell12) <=> (cell57 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13188,plain,
% 2.70/2.75 ((cell57 = cell12) <=> (X!1 = cell57)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13187, 6480])).
% 2.70/2.75 tff(13189,plain,
% 2.70/2.75 ((~(cell57 = cell12)) <=> (~(X!1 = cell57))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13188])).
% 2.70/2.75 tff(13190,plain,
% 2.70/2.75 (~(X!1 = cell57)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3228, 13189])).
% 2.70/2.75 tff(13191,plain,
% 2.70/2.75 ((~(X!1 = cell57)) | (~(Y!0 = cell56))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9727, 13190])).
% 2.70/2.75 tff(13192,plain,
% 2.70/2.75 ((cell62 = cell12) <=> (cell62 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13193,plain,
% 2.70/2.75 ((cell62 = cell12) <=> (X!1 = cell62)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13192, 6448])).
% 2.70/2.75 tff(13194,plain,
% 2.70/2.75 ((~(cell62 = cell12)) <=> (~(X!1 = cell62))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13193])).
% 2.70/2.75 tff(13195,plain,
% 2.70/2.75 (~(X!1 = cell62)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3272, 13194])).
% 2.70/2.75 tff(13196,plain,
% 2.70/2.75 ((~(X!1 = cell62)) | (~(Y!0 = cell61))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9763, 13195])).
% 2.70/2.75 tff(13197,plain,
% 2.70/2.75 ((cell63 = cell12) <=> (cell63 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13198,plain,
% 2.70/2.75 ((cell63 = cell12) <=> (X!1 = cell63)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13197, 6440])).
% 2.70/2.75 tff(13199,plain,
% 2.70/2.75 ((~(cell63 = cell12)) <=> (~(X!1 = cell63))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13198])).
% 2.70/2.75 tff(13200,plain,
% 2.70/2.75 (~(X!1 = cell63)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3283, 13199])).
% 2.70/2.75 tff(13201,plain,
% 2.70/2.75 ((~(X!1 = cell63)) | (~(Y!0 = cell62))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9772, 13200])).
% 2.70/2.75 tff(13202,plain,
% 2.70/2.75 ((cell64 = cell12) <=> (cell64 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13203,plain,
% 2.70/2.75 ((cell64 = cell12) <=> (X!1 = cell64)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13202, 6432])).
% 2.70/2.75 tff(13204,plain,
% 2.70/2.75 ((~(cell64 = cell12)) <=> (~(X!1 = cell64))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13203])).
% 2.70/2.75 tff(13205,plain,
% 2.70/2.75 (~(X!1 = cell64)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3294, 13204])).
% 2.70/2.75 tff(13206,plain,
% 2.70/2.75 ((~(X!1 = cell64)) | (~(Y!0 = cell63))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9781, 13205])).
% 2.70/2.75 tff(13207,plain,
% 2.70/2.75 ((cell65 = cell12) <=> (cell65 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13208,plain,
% 2.70/2.75 ((cell65 = cell12) <=> (X!1 = cell65)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13207, 6424])).
% 2.70/2.75 tff(13209,plain,
% 2.70/2.75 ((~(cell65 = cell12)) <=> (~(X!1 = cell65))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13208])).
% 2.70/2.75 tff(13210,plain,
% 2.70/2.75 (~(X!1 = cell65)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3305, 13209])).
% 2.70/2.75 tff(13211,plain,
% 2.70/2.75 ((~(X!1 = cell65)) | (~(Y!0 = cell64))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9790, 13210])).
% 2.70/2.75 tff(13212,plain,
% 2.70/2.75 ((cell66 = cell12) <=> (cell66 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13213,plain,
% 2.70/2.75 ((cell66 = cell12) <=> (X!1 = cell66)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13212, 6416])).
% 2.70/2.75 tff(13214,plain,
% 2.70/2.75 ((~(cell66 = cell12)) <=> (~(X!1 = cell66))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13213])).
% 2.70/2.75 tff(13215,plain,
% 2.70/2.75 (~(X!1 = cell66)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3316, 13214])).
% 2.70/2.75 tff(13216,plain,
% 2.70/2.75 ((~(X!1 = cell66)) | (~(Y!0 = cell65))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9799, 13215])).
% 2.70/2.75 tff(13217,plain,
% 2.70/2.75 ((cell67 = cell12) <=> (cell67 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13218,plain,
% 2.70/2.75 ((cell67 = cell12) <=> (X!1 = cell67)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13217, 6408])).
% 2.70/2.75 tff(13219,plain,
% 2.70/2.75 ((~(cell67 = cell12)) <=> (~(X!1 = cell67))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13218])).
% 2.70/2.75 tff(13220,plain,
% 2.70/2.75 (~(X!1 = cell67)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3327, 13219])).
% 2.70/2.75 tff(13221,plain,
% 2.70/2.75 ((~(X!1 = cell67)) | (~(Y!0 = cell66))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9808, 13220])).
% 2.70/2.75 tff(13222,plain,
% 2.70/2.75 ((cell69 = cell12) <=> (cell69 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13223,plain,
% 2.70/2.75 ((cell69 = cell12) <=> (X!1 = cell69)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13222, 52])).
% 2.70/2.75 tff(13224,plain,
% 2.70/2.75 ((~(cell69 = cell12)) <=> (~(X!1 = cell69))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13223])).
% 2.70/2.75 tff(13225,plain,
% 2.70/2.75 (~(X!1 = cell69)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[1178, 13224])).
% 2.70/2.75 tff(13226,plain,
% 2.70/2.75 ((~(X!1 = cell69)) | (~(Y!0 = cell68))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[8793, 13225])).
% 2.70/2.75 tff(13227,plain,
% 2.70/2.75 ((cell70 = cell12) <=> (cell70 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13228,plain,
% 2.70/2.75 ((cell70 = cell12) <=> (X!1 = cell70)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13227, 6388])).
% 2.70/2.75 tff(13229,plain,
% 2.70/2.75 ((~(cell70 = cell12)) <=> (~(X!1 = cell70))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13228])).
% 2.70/2.75 tff(13230,plain,
% 2.70/2.75 (~(X!1 = cell70)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3706, 13229])).
% 2.70/2.75 tff(13231,plain,
% 2.70/2.75 ((~(X!1 = cell70)) | (~(Y!0 = cell69))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9826, 13230])).
% 2.70/2.75 tff(13232,plain,
% 2.70/2.75 ((cell72 = cell12) <=> (cell72 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13233,plain,
% 2.70/2.75 ((cell72 = cell12) <=> (X!1 = cell72)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13232, 6380])).
% 2.70/2.75 tff(13234,plain,
% 2.70/2.75 ((~(cell72 = cell12)) <=> (~(X!1 = cell72))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13233])).
% 2.70/2.75 tff(13235,plain,
% 2.70/2.75 (~(X!1 = cell72)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3368, 13234])).
% 2.70/2.75 tff(13236,plain,
% 2.70/2.75 ((~(X!1 = cell72)) | (~(Y!0 = cell71))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9835, 13235])).
% 2.70/2.75 tff(13237,plain,
% 2.70/2.75 ((cell75 = cell12) <=> (cell75 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13238,plain,
% 2.70/2.75 ((cell75 = cell12) <=> (X!1 = cell75)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13237, 6356])).
% 2.70/2.75 tff(13239,plain,
% 2.70/2.75 ((~(cell75 = cell12)) <=> (~(X!1 = cell75))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13238])).
% 2.70/2.75 tff(13240,plain,
% 2.70/2.75 (~(X!1 = cell75)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3401, 13239])).
% 2.70/2.75 tff(13241,plain,
% 2.70/2.75 ((~(X!1 = cell75)) | (~(Y!0 = cell74))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9862, 13240])).
% 2.70/2.75 tff(13242,plain,
% 2.70/2.75 ((cell77 = cell12) <=> (cell77 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13243,plain,
% 2.70/2.75 ((cell77 = cell12) <=> (X!1 = cell77)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13242, 6340])).
% 2.70/2.75 tff(13244,plain,
% 2.70/2.75 ((~(cell77 = cell12)) <=> (~(X!1 = cell77))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13243])).
% 2.70/2.75 tff(13245,plain,
% 2.70/2.75 (~(X!1 = cell77)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3423, 13244])).
% 2.70/2.75 tff(13246,plain,
% 2.70/2.75 ((~(X!1 = cell77)) | (~(Y!0 = cell76))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9880, 13245])).
% 2.70/2.75 tff(13247,assumption,((~(X!1 = cell80)) | (~(Y!0 = cell79))), introduced(assumption)).
% 2.70/2.75 tff(13248,plain,
% 2.70/2.75 ((cell82 = cell12) <=> (cell82 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13249,plain,
% 2.70/2.75 ((cell82 = cell12) <=> (X!1 = cell82)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13248, 6306])).
% 2.70/2.75 tff(13250,plain,
% 2.70/2.75 ((~(cell82 = cell12)) <=> (~(X!1 = cell82))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13249])).
% 2.70/2.75 tff(13251,plain,
% 2.70/2.75 (~(X!1 = cell82)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3453, 13250])).
% 2.70/2.75 tff(13252,plain,
% 2.70/2.75 ((~(X!1 = cell82)) | (~(Y!0 = cell81))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9897, 13251])).
% 2.70/2.75 tff(13253,plain,
% 2.70/2.75 ((cell84 = cell12) <=> (cell84 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13254,plain,
% 2.70/2.75 ((cell84 = cell12) <=> (X!1 = cell84)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13253, 6290])).
% 2.70/2.75 tff(13255,plain,
% 2.70/2.75 ((~(cell84 = cell12)) <=> (~(X!1 = cell84))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13254])).
% 2.70/2.75 tff(13256,plain,
% 2.70/2.75 (~(X!1 = cell84)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3475, 13255])).
% 2.70/2.75 tff(13257,plain,
% 2.70/2.75 ((~(X!1 = cell84)) | (~(Y!0 = cell83))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9915, 13256])).
% 2.70/2.75 tff(13258,plain,
% 2.70/2.75 ((cell85 = cell12) <=> (cell85 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13259,plain,
% 2.70/2.75 ((cell85 = cell12) <=> (X!1 = cell85)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13258, 6282])).
% 2.70/2.75 tff(13260,plain,
% 2.70/2.75 ((~(cell85 = cell12)) <=> (~(X!1 = cell85))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13259])).
% 2.70/2.75 tff(13261,plain,
% 2.70/2.75 (~(X!1 = cell85)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3486, 13260])).
% 2.70/2.75 tff(13262,plain,
% 2.70/2.75 ((~(X!1 = cell85)) | (~(Y!0 = cell84))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9924, 13261])).
% 2.70/2.75 tff(13263,plain,
% 2.70/2.75 ((cell86 = cell12) <=> (cell86 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13264,plain,
% 2.70/2.75 ((cell86 = cell12) <=> (X!1 = cell86)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13263, 6274])).
% 2.70/2.75 tff(13265,plain,
% 2.70/2.75 ((~(cell86 = cell12)) <=> (~(X!1 = cell86))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13264])).
% 2.70/2.75 tff(13266,plain,
% 2.70/2.75 (~(X!1 = cell86)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3497, 13265])).
% 2.70/2.75 tff(13267,plain,
% 2.70/2.75 ((~(X!1 = cell86)) | (~(Y!0 = cell85))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9933, 13266])).
% 2.70/2.75 tff(13268,plain,
% 2.70/2.75 ((cell88 = cell12) <=> (cell88 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13269,plain,
% 2.70/2.75 ((cell88 = cell12) <=> (X!1 = cell88)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13268, 6321])).
% 2.70/2.75 tff(13270,plain,
% 2.70/2.75 ((~(cell88 = cell12)) <=> (~(X!1 = cell88))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13269])).
% 2.70/2.75 tff(13271,plain,
% 2.70/2.75 (~(X!1 = cell88)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3743, 13270])).
% 2.70/2.75 tff(13272,plain,
% 2.70/2.75 ((~(X!1 = cell88)) | (~(Y!0 = cell87))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9300, 13271])).
% 2.70/2.75 tff(13273,plain,
% 2.70/2.75 ((cell92 = cell12) <=> (cell92 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13274,plain,
% 2.70/2.75 ((cell92 = cell12) <=> (X!1 = cell92)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13273, 3866])).
% 2.70/2.75 tff(13275,plain,
% 2.70/2.75 ((~(cell92 = cell12)) <=> (~(X!1 = cell92))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13274])).
% 2.70/2.75 tff(13276,plain,
% 2.70/2.75 (~(X!1 = cell92)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2225, 13275])).
% 2.70/2.75 tff(13277,plain,
% 2.70/2.75 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9946, 13276])).
% 2.70/2.75 tff(13278,plain,
% 2.70/2.75 ((cell93 = cell12) <=> (cell93 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13279,plain,
% 2.70/2.75 ((cell93 = cell12) <=> (X!1 = cell93)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13278, 3875])).
% 2.70/2.75 tff(13280,plain,
% 2.70/2.75 ((~(cell93 = cell12)) <=> (~(X!1 = cell93))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13279])).
% 2.70/2.75 tff(13281,plain,
% 2.70/2.75 (~(X!1 = cell93)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2236, 13280])).
% 2.70/2.75 tff(13282,plain,
% 2.70/2.75 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9948, 13281])).
% 2.70/2.75 tff(13283,plain,
% 2.70/2.75 ((cell94 = cell12) <=> (cell94 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13284,plain,
% 2.70/2.75 ((cell94 = cell12) <=> (X!1 = cell94)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13283, 3884])).
% 2.70/2.75 tff(13285,plain,
% 2.70/2.75 ((~(cell94 = cell12)) <=> (~(X!1 = cell94))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13284])).
% 2.70/2.75 tff(13286,plain,
% 2.70/2.75 (~(X!1 = cell94)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2247, 13285])).
% 2.70/2.75 tff(13287,plain,
% 2.70/2.75 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9950, 13286])).
% 2.70/2.75 tff(13288,plain,
% 2.70/2.75 ((cell95 = cell12) <=> (cell95 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13289,plain,
% 2.70/2.75 ((cell95 = cell12) <=> (X!1 = cell95)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13288, 2])).
% 2.70/2.75 tff(13290,plain,
% 2.70/2.75 ((~(cell95 = cell12)) <=> (~(X!1 = cell95))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13289])).
% 2.70/2.75 tff(13291,plain,
% 2.70/2.75 (~(X!1 = cell95)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2258, 13290])).
% 2.70/2.75 tff(13292,plain,
% 2.70/2.75 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9952, 13291])).
% 2.70/2.75 tff(13293,plain,
% 2.70/2.75 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9954, 13045])).
% 2.70/2.75 tff(13294,plain,
% 2.70/2.75 ((cell97 = cell12) <=> (cell97 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13295,plain,
% 2.70/2.75 ((cell97 = cell12) <=> (X!1 = cell97)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13294, 3910])).
% 2.70/2.75 tff(13296,plain,
% 2.70/2.75 ((~(cell97 = cell12)) <=> (~(X!1 = cell97))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13295])).
% 2.70/2.75 tff(13297,plain,
% 2.70/2.75 (~(X!1 = cell97)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2280, 13296])).
% 2.70/2.75 tff(13298,plain,
% 2.70/2.75 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9956, 13297])).
% 2.70/2.75 tff(13299,plain,
% 2.70/2.75 ((cell99 = cell12) <=> (cell99 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13300,plain,
% 2.70/2.75 ((cell99 = cell12) <=> (X!1 = cell99)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13299, 3928])).
% 2.70/2.75 tff(13301,plain,
% 2.70/2.75 ((~(cell99 = cell12)) <=> (~(X!1 = cell99))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13300])).
% 2.70/2.75 tff(13302,plain,
% 2.70/2.75 (~(X!1 = cell99)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2302, 13301])).
% 2.70/2.75 tff(13303,plain,
% 2.70/2.75 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9963, 13302])).
% 2.70/2.75 tff(13304,plain,
% 2.70/2.75 ((cell12 = cell11) <=> (X!1 = cell11)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13305,plain,
% 2.70/2.75 ((~(cell12 = cell11)) <=> (~(X!1 = cell11))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13304])).
% 2.70/2.75 tff(13306,plain,
% 2.70/2.75 (~(X!1 = cell11)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3529, 13305])).
% 2.70/2.75 tff(13307,plain,
% 2.70/2.75 (((~(X!1 = cell11)) | (~(Y!0 = cell1))) | (X!1 = cell11)),
% 2.70/2.75 inference(tautology,[status(thm)],[])).
% 2.70/2.75 tff(13308,plain,
% 2.70/2.75 ((~(X!1 = cell11)) | (~(Y!0 = cell1))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[13307, 13306])).
% 2.70/2.75 tff(13309,plain,
% 2.70/2.75 ((~(X!1 = cell97)) | (~(Y!0 = cell87))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9965, 13297])).
% 2.70/2.75 tff(13310,plain,
% 2.70/2.75 ((~(X!1 = cell13)) | (~(Y!0 = cell3))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9038, 13049])).
% 2.70/2.75 tff(13311,plain,
% 2.70/2.75 ((cell14 = cell12) <=> (cell14 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13312,plain,
% 2.70/2.75 ((cell14 = cell12) <=> (X!1 = cell14)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13311, 6185])).
% 2.70/2.75 tff(13313,plain,
% 2.70/2.75 ((~(cell14 = cell12)) <=> (~(X!1 = cell14))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13312])).
% 2.70/2.75 tff(13314,plain,
% 2.70/2.75 (~(X!1 = cell14)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2812, 13313])).
% 2.70/2.75 tff(13315,plain,
% 2.70/2.75 ((~(X!1 = cell14)) | (~(Y!0 = cell4))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9975, 13314])).
% 2.70/2.75 tff(13316,plain,
% 2.70/2.75 ((~(X!1 = cell15)) | (~(Y!0 = cell5))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9977, 13054])).
% 2.70/2.75 tff(13317,plain,
% 2.70/2.75 ((~(X!1 = cell17)) | (~(Y!0 = cell7))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9981, 13059])).
% 2.70/2.75 tff(13318,plain,
% 2.70/2.75 ((~(X!1 = cell18)) | (~(Y!0 = cell8))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9983, 13064])).
% 2.70/2.75 tff(13319,plain,
% 2.70/2.75 ((~(X!1 = cell19)) | (~(Y!0 = cell9))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9985, 13069])).
% 2.70/2.75 tff(13320,plain,
% 2.70/2.75 ((~(X!1 = cell20)) | (~(Y!0 = cell10))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9987, 13074])).
% 2.70/2.75 tff(13321,plain,
% 2.70/2.75 ((cell21 = cell12) <=> (cell21 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13322,plain,
% 2.70/2.75 ((cell21 = cell12) <=> (X!1 = cell21)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13321, 9989])).
% 2.70/2.75 tff(13323,plain,
% 2.70/2.75 ((~(cell21 = cell12)) <=> (~(X!1 = cell21))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13322])).
% 2.70/2.75 tff(13324,plain,
% 2.70/2.75 (~(X!1 = cell21)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[3565, 13323])).
% 2.70/2.75 tff(13325,plain,
% 2.70/2.75 ((~(X!1 = cell21)) | (~(Y!0 = cell11))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9997, 13324])).
% 2.70/2.75 tff(13326,plain,
% 2.70/2.75 ((~(X!1 = cell22)) | (~(Y!0 = cell12))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[9999, 13080])).
% 2.70/2.75 tff(13327,plain,
% 2.70/2.75 ((~(X!1 = cell24)) | (~(Y!0 = cell14))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10001, 13085])).
% 2.70/2.75 tff(13328,plain,
% 2.70/2.75 ((~(X!1 = cell25)) | (~(Y!0 = cell15))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10003, 13090])).
% 2.70/2.75 tff(13329,plain,
% 2.70/2.75 ((~(X!1 = cell26)) | (~(Y!0 = cell16))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10005, 13095])).
% 2.70/2.75 tff(13330,plain,
% 2.70/2.75 ((~(X!1 = cell27)) | (~(Y!0 = cell17))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10007, 13100])).
% 2.70/2.75 tff(13331,plain,
% 2.70/2.75 ((~(X!1 = cell28)) | (~(Y!0 = cell18))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10009, 13105])).
% 2.70/2.75 tff(13332,plain,
% 2.70/2.75 ((~(X!1 = cell29)) | (~(Y!0 = cell19))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10011, 13110])).
% 2.70/2.75 tff(13333,plain,
% 2.70/2.75 ((~(X!1 = cell30)) | (~(Y!0 = cell20))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10013, 13115])).
% 2.70/2.75 tff(13334,plain,
% 2.70/2.75 ((cell31 = cell12) <=> (cell31 = X!1)),
% 2.70/2.75 inference(monotonicity,[status(thm)],[2203])).
% 2.70/2.75 tff(13335,plain,
% 2.70/2.75 ((cell31 = cell12) <=> (X!1 = cell31)),
% 2.70/2.75 inference(transitivity,[status(thm)],[13334, 6177])).
% 2.70/2.75 tff(13336,plain,
% 2.70/2.75 ((~(cell31 = cell12)) <=> (~(X!1 = cell31))),
% 2.70/2.75 inference(monotonicity,[status(thm)],[13335])).
% 2.70/2.75 tff(13337,plain,
% 2.70/2.75 (~(X!1 = cell31)),
% 2.70/2.75 inference(modus_ponens,[status(thm)],[2964, 13336])).
% 2.70/2.75 tff(13338,plain,
% 2.70/2.75 ((~(X!1 = cell31)) | (~(Y!0 = cell21))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10022, 13337])).
% 2.70/2.75 tff(13339,plain,
% 2.70/2.75 ((~(X!1 = cell35)) | (~(Y!0 = cell25))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10028, 13120])).
% 2.70/2.75 tff(13340,plain,
% 2.70/2.75 ((~(X!1 = cell36)) | (~(Y!0 = cell26))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10030, 13125])).
% 2.70/2.75 tff(13341,plain,
% 2.70/2.75 ((~(X!1 = cell38)) | (~(Y!0 = cell28))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10034, 13130])).
% 2.70/2.75 tff(13342,plain,
% 2.70/2.75 ((~(X!1 = cell39)) | (~(Y!0 = cell29))),
% 2.70/2.75 inference(unit_resolution,[status(thm)],[10036, 13135])).
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% 2.70/2.77 ($false),
% 2.70/2.77 inference(unit_resolution,[status(thm)],[13425, 4130, 1246, 3801, 9063])).
% 2.70/2.77 tff(13427,plain,((~oxygen(cell88)) | (~oxygen(cell11))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.77 tff(13428,plain,
% 2.70/2.77 (~oxygen(cell88)),
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% 2.70/2.77 (((cell89 = cell11) | (~oxygen(cell11)) | (~oxygen(cell89))) <=> ((cell89 = cell11) | (~oxygen(cell89)) | (~oxygen(cell11)))),
% 2.70/2.77 inference(rewrite,[status(thm)],[])).
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% 2.70/2.77 inference(monotonicity,[status(thm)],[13431])).
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% 2.70/2.77 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell11) | (~oxygen(cell11)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell11) | (~oxygen(cell89)) | (~oxygen(cell11)))),
% 2.70/2.77 inference(transitivity,[status(thm)],[13432, 13430])).
% 2.70/2.77 tff(13434,plain,
% 2.70/2.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | ((cell89 = cell11) | (~oxygen(cell11)) | (~oxygen(cell89)))),
% 2.70/2.77 inference(quant_inst,[status(thm)],[])).
% 2.70/2.77 tff(13435,plain,
% 2.70/2.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(Y)) | (~oxygen(X)))) | (cell89 = cell11) | (~oxygen(cell89)) | (~oxygen(cell11))),
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% 2.70/2.77 ($false),
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% 2.70/2.79 inference(unit_resolution,[status(thm)],[13465, 12853])).
% 2.70/2.79 tff(13467,plain,
% 2.70/2.79 ((cell6 = cell12) <=> (cell6 = X!1)),
% 2.70/2.79 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.79 tff(13468,plain,
% 2.70/2.79 ((cell6 = cell12) <=> (X!1 = cell6)),
% 2.70/2.79 inference(transitivity,[status(thm)],[13467, 6808])).
% 2.70/2.79 tff(13469,plain,
% 2.70/2.79 ((~(cell6 = cell12)) <=> (~(X!1 = cell6))),
% 2.70/2.79 inference(monotonicity,[status(thm)],[13468])).
% 2.70/2.79 tff(13470,plain,
% 2.70/2.79 (~(X!1 = cell6)),
% 2.70/2.79 inference(modus_ponens,[status(thm)],[2759, 13469])).
% 2.70/2.79 tff(13471,plain,
% 2.70/2.79 (((~(X!1 = cell6)) | (~(Y!0 = cell7))) | (X!1 = cell6)),
% 2.70/2.79 inference(tautology,[status(thm)],[])).
% 2.70/2.79 tff(13472,plain,
% 2.70/2.79 ((~(X!1 = cell6)) | (~(Y!0 = cell7))),
% 2.70/2.79 inference(unit_resolution,[status(thm)],[13471, 13470])).
% 2.70/2.79 tff(13473,plain,
% 2.70/2.79 ((cell7 = cell12) <=> (cell7 = X!1)),
% 2.70/2.79 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.79 tff(13474,plain,
% 2.70/2.79 ((cell7 = cell12) <=> (X!1 = cell7)),
% 2.70/2.79 inference(transitivity,[status(thm)],[13473, 6800])).
% 2.70/2.79 tff(13475,plain,
% 2.70/2.79 ((~(cell7 = cell12)) <=> (~(X!1 = cell7))),
% 2.70/2.79 inference(monotonicity,[status(thm)],[13474])).
% 2.70/2.79 tff(13476,plain,
% 2.70/2.79 (~(X!1 = cell7)),
% 2.70/2.79 inference(modus_ponens,[status(thm)],[2770, 13475])).
% 2.70/2.79 tff(13477,plain,
% 2.70/2.79 (((~(X!1 = cell7)) | (~(Y!0 = cell8))) | (X!1 = cell7)),
% 2.70/2.79 inference(tautology,[status(thm)],[])).
% 2.70/2.79 tff(13478,plain,
% 2.70/2.79 ((~(X!1 = cell7)) | (~(Y!0 = cell8))),
% 2.70/2.79 inference(unit_resolution,[status(thm)],[13477, 13476])).
% 2.70/2.79 tff(13479,plain,
% 2.70/2.79 ((cell8 = cell12) <=> (cell8 = X!1)),
% 2.70/2.79 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.79 tff(13480,plain,
% 2.70/2.79 ((cell8 = cell12) <=> (X!1 = cell8)),
% 2.70/2.79 inference(transitivity,[status(thm)],[13479, 6792])).
% 2.70/2.79 tff(13481,plain,
% 2.70/2.79 ((~(cell8 = cell12)) <=> (~(X!1 = cell8))),
% 2.70/2.79 inference(monotonicity,[status(thm)],[13480])).
% 2.70/2.79 tff(13482,plain,
% 2.70/2.79 (~(X!1 = cell8)),
% 2.70/2.79 inference(modus_ponens,[status(thm)],[2781, 13481])).
% 2.70/2.79 tff(13483,plain,
% 2.70/2.79 (((~(X!1 = cell8)) | (~(Y!0 = cell9))) | (X!1 = cell8)),
% 2.70/2.79 inference(tautology,[status(thm)],[])).
% 2.70/2.79 tff(13484,plain,
% 2.70/2.79 ((~(X!1 = cell8)) | (~(Y!0 = cell9))),
% 2.70/2.79 inference(unit_resolution,[status(thm)],[13483, 13482])).
% 2.70/2.79 tff(13485,plain,
% 2.70/2.79 (((~(X!1 = cell9)) | (~(Y!0 = cell10))) | (X!1 = cell9)),
% 2.70/2.79 inference(tautology,[status(thm)],[])).
% 2.70/2.79 tff(13486,plain,
% 2.70/2.79 ((~(X!1 = cell9)) | (~(Y!0 = cell10))),
% 2.70/2.79 inference(unit_resolution,[status(thm)],[13485, 12858])).
% 2.70/2.79 tff(13487,plain,
% 2.70/2.79 ((cell12 = cell11) <=> (cell12 = X!1)),
% 2.70/2.79 inference(monotonicity,[status(thm)],[44])).
% 2.70/2.79 tff(13488,plain,
% 2.70/2.79 ((~(cell12 = cell11)) <=> (~(cell12 = X!1))),
% 2.70/2.79 inference(monotonicity,[status(thm)],[13487])).
% 2.70/2.80 tff(13489,plain,
% 2.70/2.80 (~(cell12 = X!1)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3529, 13488])).
% 2.70/2.80 tff(13490,plain,
% 2.70/2.80 ($false),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[12845, 9387, 13489, 1195, 30, 1193])).
% 2.70/2.80 tff(13491,plain,((~(cell11 = X!1)) | patient(cell2)), inference(lemma,lemma(discharge,[]))).
% 2.70/2.80 tff(13492,plain,
% 2.70/2.80 (~(cell11 = X!1)),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13491, 30])).
% 2.70/2.80 tff(13493,plain,
% 2.70/2.80 (~(X!1 = cell11)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[13492, 4039])).
% 2.70/2.80 tff(13494,plain,
% 2.70/2.80 (((~(X!1 = cell11)) | (~(Y!0 = cell12))) | (X!1 = cell11)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13495,plain,
% 2.70/2.80 ((~(X!1 = cell11)) | (~(Y!0 = cell12))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13494, 13493])).
% 2.70/2.80 tff(13496,plain,
% 2.70/2.80 (((~(X!1 = cell90)) | (~(Y!0 = cell100))) | (X!1 = cell90)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13497,plain,
% 2.70/2.80 ((~(X!1 = cell90)) | (~(Y!0 = cell100))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13496, 12990])).
% 2.70/2.80 tff(13498,plain,
% 2.70/2.80 (((~(X!1 = cell13)) | (~(Y!0 = cell14))) | (X!1 = cell13)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13499,plain,
% 2.70/2.80 ((~(X!1 = cell13)) | (~(Y!0 = cell14))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13498, 29])).
% 2.70/2.80 tff(13500,plain,
% 2.70/2.80 ((cell14 = cell12) <=> (cell14 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13501,plain,
% 2.70/2.80 ((cell14 = cell12) <=> (X!1 = cell14)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13500, 6185])).
% 2.70/2.80 tff(13502,plain,
% 2.70/2.80 ((~(cell14 = cell12)) <=> (~(X!1 = cell14))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13501])).
% 2.70/2.80 tff(13503,plain,
% 2.70/2.80 (~(X!1 = cell14)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2812, 13502])).
% 2.70/2.80 tff(13504,plain,
% 2.70/2.80 (((~(X!1 = cell14)) | (~(Y!0 = cell15))) | (X!1 = cell14)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13505,plain,
% 2.70/2.80 ((~(X!1 = cell14)) | (~(Y!0 = cell15))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13504, 13503])).
% 2.70/2.80 tff(13506,plain,
% 2.70/2.80 ((cell15 = cell12) <=> (cell15 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13507,plain,
% 2.70/2.80 ((cell15 = cell12) <=> (X!1 = cell15)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13506, 6768])).
% 2.70/2.80 tff(13508,plain,
% 2.70/2.80 ((~(cell15 = cell12)) <=> (~(X!1 = cell15))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13507])).
% 2.70/2.80 tff(13509,plain,
% 2.70/2.80 (~(X!1 = cell15)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2823, 13508])).
% 2.70/2.80 tff(13510,plain,
% 2.70/2.80 (((~(X!1 = cell15)) | (~(Y!0 = cell16))) | (X!1 = cell15)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13511,plain,
% 2.70/2.80 ((~(X!1 = cell15)) | (~(Y!0 = cell16))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13510, 13509])).
% 2.70/2.80 tff(13512,plain,
% 2.70/2.80 (((~(X!1 = cell16)) | (~(Y!0 = cell17))) | (X!1 = cell16)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13513,plain,
% 2.70/2.80 ((~(X!1 = cell16)) | (~(Y!0 = cell17))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13512, 12863])).
% 2.70/2.80 tff(13514,plain,
% 2.70/2.80 ((cell17 = cell12) <=> (cell17 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13515,plain,
% 2.70/2.80 ((cell17 = cell12) <=> (X!1 = cell17)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13514, 6752])).
% 2.70/2.80 tff(13516,plain,
% 2.70/2.80 ((~(cell17 = cell12)) <=> (~(X!1 = cell17))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13515])).
% 2.70/2.80 tff(13517,plain,
% 2.70/2.80 (~(X!1 = cell17)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2845, 13516])).
% 2.70/2.80 tff(13518,plain,
% 2.70/2.80 (((~(X!1 = cell17)) | (~(Y!0 = cell18))) | (X!1 = cell17)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13519,plain,
% 2.70/2.80 ((~(X!1 = cell17)) | (~(Y!0 = cell18))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13518, 13517])).
% 2.70/2.80 tff(13520,plain,
% 2.70/2.80 ((cell18 = cell12) <=> (cell18 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13521,plain,
% 2.70/2.80 ((cell18 = cell12) <=> (X!1 = cell18)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13520, 6744])).
% 2.70/2.80 tff(13522,plain,
% 2.70/2.80 ((~(cell18 = cell12)) <=> (~(X!1 = cell18))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13521])).
% 2.70/2.80 tff(13523,plain,
% 2.70/2.80 (~(X!1 = cell18)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2856, 13522])).
% 2.70/2.80 tff(13524,plain,
% 2.70/2.80 (((~(X!1 = cell18)) | (~(Y!0 = cell19))) | (X!1 = cell18)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13525,plain,
% 2.70/2.80 ((~(X!1 = cell18)) | (~(Y!0 = cell19))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13524, 13523])).
% 2.70/2.80 tff(13526,plain,
% 2.70/2.80 ((cell19 = cell12) <=> (cell19 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13527,plain,
% 2.70/2.80 ((cell19 = cell12) <=> (X!1 = cell19)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13526, 6736])).
% 2.70/2.80 tff(13528,plain,
% 2.70/2.80 ((~(cell19 = cell12)) <=> (~(X!1 = cell19))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13527])).
% 2.70/2.80 tff(13529,plain,
% 2.70/2.80 (~(X!1 = cell19)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2867, 13528])).
% 2.70/2.80 tff(13530,plain,
% 2.70/2.80 (((~(X!1 = cell19)) | (~(Y!0 = cell20))) | (X!1 = cell19)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13531,plain,
% 2.70/2.80 ((~(X!1 = cell19)) | (~(Y!0 = cell20))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13530, 13529])).
% 2.70/2.80 tff(13532,plain,
% 2.70/2.80 ((~(cell22 = X!1)) <=> (~(X!1 = cell22))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[7437])).
% 2.70/2.80 tff(13533,plain,
% 2.70/2.80 ((cell12 = cell22) <=> (cell12 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[6322])).
% 2.70/2.80 tff(13534,plain,
% 2.70/2.80 ((cell12 = X!1) <=> (cell12 = cell22)),
% 2.70/2.80 inference(symmetry,[status(thm)],[13533])).
% 2.70/2.80 tff(13535,plain,
% 2.70/2.80 (cell12 = cell22),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2203, 13534])).
% 2.70/2.80 tff(13536,plain,
% 2.70/2.80 ($false),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[2876, 13535])).
% 2.70/2.80 tff(13537,plain,((~(cell22 = X!1)) | (~(cell12 = X!1))), inference(lemma,lemma(discharge,[]))).
% 2.70/2.80 tff(13538,plain,
% 2.70/2.80 (~(cell22 = X!1)),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13537, 12846])).
% 2.70/2.80 tff(13539,plain,
% 2.70/2.80 (~(X!1 = cell22)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[13538, 13532])).
% 2.70/2.80 tff(13540,plain,
% 2.70/2.80 (((~(X!1 = cell22)) | (~(Y!0 = cell23))) | (X!1 = cell22)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13541,plain,
% 2.70/2.80 ((~(X!1 = cell22)) | (~(Y!0 = cell23))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13540, 13539])).
% 2.70/2.80 tff(13542,plain,
% 2.70/2.80 ((cell23 = X!1) <=> (X!1 = cell23)),
% 2.70/2.80 inference(commutativity,[status(thm)],[])).
% 2.70/2.80 tff(13543,plain,
% 2.70/2.80 ((cell23 = cell12) <=> (cell23 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13544,plain,
% 2.70/2.80 ((cell23 = cell12) <=> (X!1 = cell23)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13543, 13542])).
% 2.70/2.80 tff(13545,plain,
% 2.70/2.80 ((~(cell23 = cell12)) <=> (~(X!1 = cell23))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13544])).
% 2.70/2.80 tff(13546,plain,
% 2.70/2.80 (~(X!1 = cell23)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2887, 13545])).
% 2.70/2.80 tff(13547,plain,
% 2.70/2.80 (((~(X!1 = cell23)) | (~(Y!0 = cell24))) | (X!1 = cell23)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13548,plain,
% 2.70/2.80 ((~(X!1 = cell23)) | (~(Y!0 = cell24))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13547, 13546])).
% 2.70/2.80 tff(13549,plain,
% 2.70/2.80 ((cell24 = cell12) <=> (cell24 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13550,plain,
% 2.70/2.80 ((cell24 = cell12) <=> (X!1 = cell24)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13549, 6720])).
% 2.70/2.80 tff(13551,plain,
% 2.70/2.80 ((~(cell24 = cell12)) <=> (~(X!1 = cell24))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13550])).
% 2.70/2.80 tff(13552,plain,
% 2.70/2.80 (~(X!1 = cell24)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2898, 13551])).
% 2.70/2.80 tff(13553,plain,
% 2.70/2.80 (((~(X!1 = cell24)) | (~(Y!0 = cell25))) | (X!1 = cell24)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13554,plain,
% 2.70/2.80 ((~(X!1 = cell24)) | (~(Y!0 = cell25))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13553, 13552])).
% 2.70/2.80 tff(13555,plain,
% 2.70/2.80 ((cell25 = cell12) <=> (cell25 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13556,plain,
% 2.70/2.80 ((cell25 = cell12) <=> (X!1 = cell25)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13555, 6712])).
% 2.70/2.80 tff(13557,plain,
% 2.70/2.80 ((~(cell25 = cell12)) <=> (~(X!1 = cell25))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13556])).
% 2.70/2.80 tff(13558,plain,
% 2.70/2.80 (~(X!1 = cell25)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2909, 13557])).
% 2.70/2.80 tff(13559,plain,
% 2.70/2.80 (((~(X!1 = cell25)) | (~(Y!0 = cell26))) | (X!1 = cell25)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13560,plain,
% 2.70/2.80 ((~(X!1 = cell25)) | (~(Y!0 = cell26))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13559, 13558])).
% 2.70/2.80 tff(13561,plain,
% 2.70/2.80 ((cell26 = cell12) <=> (cell26 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13562,plain,
% 2.70/2.80 ((cell26 = cell12) <=> (X!1 = cell26)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13561, 6704])).
% 2.70/2.80 tff(13563,plain,
% 2.70/2.80 ((~(cell26 = cell12)) <=> (~(X!1 = cell26))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13562])).
% 2.70/2.80 tff(13564,plain,
% 2.70/2.80 (~(X!1 = cell26)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2920, 13563])).
% 2.70/2.80 tff(13565,plain,
% 2.70/2.80 (((~(X!1 = cell26)) | (~(Y!0 = cell27))) | (X!1 = cell26)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13566,plain,
% 2.70/2.80 ((~(X!1 = cell26)) | (~(Y!0 = cell27))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13565, 13564])).
% 2.70/2.80 tff(13567,plain,
% 2.70/2.80 ((cell27 = cell12) <=> (cell27 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13568,plain,
% 2.70/2.80 ((cell27 = cell12) <=> (X!1 = cell27)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13567, 6696])).
% 2.70/2.80 tff(13569,plain,
% 2.70/2.80 ((~(cell27 = cell12)) <=> (~(X!1 = cell27))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13568])).
% 2.70/2.80 tff(13570,plain,
% 2.70/2.80 (~(X!1 = cell27)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2931, 13569])).
% 2.70/2.80 tff(13571,plain,
% 2.70/2.80 (((~(X!1 = cell27)) | (~(Y!0 = cell28))) | (X!1 = cell27)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13572,plain,
% 2.70/2.80 ((~(X!1 = cell27)) | (~(Y!0 = cell28))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13571, 13570])).
% 2.70/2.80 tff(13573,plain,
% 2.70/2.80 ((cell28 = cell12) <=> (cell28 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13574,plain,
% 2.70/2.80 ((cell28 = cell12) <=> (X!1 = cell28)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13573, 6688])).
% 2.70/2.80 tff(13575,plain,
% 2.70/2.80 ((~(cell28 = cell12)) <=> (~(X!1 = cell28))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13574])).
% 2.70/2.80 tff(13576,plain,
% 2.70/2.80 (~(X!1 = cell28)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2942, 13575])).
% 2.70/2.80 tff(13577,plain,
% 2.70/2.80 (((~(X!1 = cell28)) | (~(Y!0 = cell29))) | (X!1 = cell28)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13578,plain,
% 2.70/2.80 ((~(X!1 = cell28)) | (~(Y!0 = cell29))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13577, 13576])).
% 2.70/2.80 tff(13579,plain,
% 2.70/2.80 ((cell29 = cell12) <=> (cell29 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13580,plain,
% 2.70/2.80 ((cell29 = cell12) <=> (X!1 = cell29)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13579, 6680])).
% 2.70/2.80 tff(13581,plain,
% 2.70/2.80 ((~(cell29 = cell12)) <=> (~(X!1 = cell29))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13580])).
% 2.70/2.80 tff(13582,plain,
% 2.70/2.80 (~(X!1 = cell29)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2953, 13581])).
% 2.70/2.80 tff(13583,plain,
% 2.70/2.80 (((~(X!1 = cell29)) | (~(Y!0 = cell30))) | (X!1 = cell29)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13584,plain,
% 2.70/2.80 ((~(X!1 = cell29)) | (~(Y!0 = cell30))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13583, 13582])).
% 2.70/2.80 tff(13585,plain,
% 2.70/2.80 ((cell31 = cell12) <=> (cell31 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13586,plain,
% 2.70/2.80 ((cell31 = cell12) <=> (X!1 = cell31)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13585, 6177])).
% 2.70/2.80 tff(13587,plain,
% 2.70/2.80 ((~(cell31 = cell12)) <=> (~(X!1 = cell31))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13586])).
% 2.70/2.80 tff(13588,plain,
% 2.70/2.80 (~(X!1 = cell31)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[2964, 13587])).
% 2.70/2.80 tff(13589,plain,
% 2.70/2.80 (((~(X!1 = cell31)) | (~(Y!0 = cell32))) | (X!1 = cell31)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13590,plain,
% 2.70/2.80 ((~(X!1 = cell31)) | (~(Y!0 = cell32))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13589, 13588])).
% 2.70/2.80 tff(13591,plain,
% 2.70/2.80 (((~(X!1 = cell32)) | (~(Y!0 = cell33))) | (X!1 = cell32)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13592,plain,
% 2.70/2.80 ((~(X!1 = cell32)) | (~(Y!0 = cell33))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13591, 12868])).
% 2.70/2.80 tff(13593,plain,
% 2.70/2.80 (((~(X!1 = cell33)) | (~(Y!0 = cell34))) | (X!1 = cell33)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13594,plain,
% 2.70/2.80 ((~(X!1 = cell33)) | (~(Y!0 = cell34))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13593, 12873])).
% 2.70/2.80 tff(13595,plain,
% 2.70/2.80 (((~(X!1 = cell34)) | (~(Y!0 = cell35))) | (X!1 = cell34)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13596,plain,
% 2.70/2.80 ((~(X!1 = cell34)) | (~(Y!0 = cell35))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13595, 12878])).
% 2.70/2.80 tff(13597,plain,
% 2.70/2.80 ((cell35 = cell12) <=> (cell35 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13598,plain,
% 2.70/2.80 ((cell35 = cell12) <=> (X!1 = cell35)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13597, 6640])).
% 2.70/2.80 tff(13599,plain,
% 2.70/2.80 ((~(cell35 = cell12)) <=> (~(X!1 = cell35))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13598])).
% 2.70/2.80 tff(13600,plain,
% 2.70/2.80 (~(X!1 = cell35)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3008, 13599])).
% 2.70/2.80 tff(13601,plain,
% 2.70/2.80 (((~(X!1 = cell35)) | (~(Y!0 = cell36))) | (X!1 = cell35)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13602,plain,
% 2.70/2.80 ((~(X!1 = cell35)) | (~(Y!0 = cell36))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13601, 13600])).
% 2.70/2.80 tff(13603,plain,
% 2.70/2.80 ((cell36 = cell12) <=> (cell36 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13604,plain,
% 2.70/2.80 ((cell36 = cell12) <=> (X!1 = cell36)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13603, 6632])).
% 2.70/2.80 tff(13605,plain,
% 2.70/2.80 ((~(cell36 = cell12)) <=> (~(X!1 = cell36))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13604])).
% 2.70/2.80 tff(13606,plain,
% 2.70/2.80 (~(X!1 = cell36)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3019, 13605])).
% 2.70/2.80 tff(13607,plain,
% 2.70/2.80 (((~(X!1 = cell36)) | (~(Y!0 = cell37))) | (X!1 = cell36)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13608,plain,
% 2.70/2.80 ((~(X!1 = cell36)) | (~(Y!0 = cell37))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13607, 13606])).
% 2.70/2.80 tff(13609,plain,
% 2.70/2.80 (((~(X!1 = cell37)) | (~(Y!0 = cell38))) | (X!1 = cell37)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13610,plain,
% 2.70/2.80 ((~(X!1 = cell37)) | (~(Y!0 = cell38))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13609, 12883])).
% 2.70/2.80 tff(13611,plain,
% 2.70/2.80 ((cell38 = cell12) <=> (cell38 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13612,plain,
% 2.70/2.80 ((cell38 = cell12) <=> (X!1 = cell38)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13611, 6616])).
% 2.70/2.80 tff(13613,plain,
% 2.70/2.80 ((~(cell38 = cell12)) <=> (~(X!1 = cell38))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13612])).
% 2.70/2.80 tff(13614,plain,
% 2.70/2.80 (~(X!1 = cell38)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3041, 13613])).
% 2.70/2.80 tff(13615,plain,
% 2.70/2.80 (((~(X!1 = cell38)) | (~(Y!0 = cell39))) | (X!1 = cell38)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13616,plain,
% 2.70/2.80 ((~(X!1 = cell38)) | (~(Y!0 = cell39))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13615, 13614])).
% 2.70/2.80 tff(13617,plain,
% 2.70/2.80 ((cell39 = cell12) <=> (cell39 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13618,plain,
% 2.70/2.80 ((cell39 = cell12) <=> (X!1 = cell39)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13617, 6608])).
% 2.70/2.80 tff(13619,plain,
% 2.70/2.80 ((~(cell39 = cell12)) <=> (~(X!1 = cell39))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13618])).
% 2.70/2.80 tff(13620,plain,
% 2.70/2.80 (~(X!1 = cell39)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3052, 13619])).
% 2.70/2.80 tff(13621,plain,
% 2.70/2.80 (((~(X!1 = cell39)) | (~(Y!0 = cell40))) | (X!1 = cell39)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13622,plain,
% 2.70/2.80 ((~(X!1 = cell39)) | (~(Y!0 = cell40))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13621, 13620])).
% 2.70/2.80 tff(13623,plain,
% 2.70/2.80 ((cell41 = cell12) <=> (cell41 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13624,plain,
% 2.70/2.80 ((cell41 = cell12) <=> (X!1 = cell41)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13623, 6169])).
% 2.70/2.80 tff(13625,plain,
% 2.70/2.80 ((~(cell41 = cell12)) <=> (~(X!1 = cell41))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13624])).
% 2.70/2.80 tff(13626,plain,
% 2.70/2.80 (~(X!1 = cell41)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3063, 13625])).
% 2.70/2.80 tff(13627,plain,
% 2.70/2.80 (((~(X!1 = cell41)) | (~(Y!0 = cell42))) | (X!1 = cell41)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13628,plain,
% 2.70/2.80 ((~(X!1 = cell41)) | (~(Y!0 = cell42))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13627, 13626])).
% 2.70/2.80 tff(13629,plain,
% 2.70/2.80 ((cell42 = cell12) <=> (cell42 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13630,plain,
% 2.70/2.80 ((cell42 = cell12) <=> (X!1 = cell42)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13629, 6592])).
% 2.70/2.80 tff(13631,plain,
% 2.70/2.80 ((~(cell42 = cell12)) <=> (~(X!1 = cell42))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13630])).
% 2.70/2.80 tff(13632,plain,
% 2.70/2.80 (~(X!1 = cell42)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3074, 13631])).
% 2.70/2.80 tff(13633,plain,
% 2.70/2.80 (((~(X!1 = cell42)) | (~(Y!0 = cell43))) | (X!1 = cell42)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13634,plain,
% 2.70/2.80 ((~(X!1 = cell42)) | (~(Y!0 = cell43))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13633, 13632])).
% 2.70/2.80 tff(13635,plain,
% 2.70/2.80 ((cell43 = cell12) <=> (cell43 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13636,plain,
% 2.70/2.80 ((cell43 = cell12) <=> (X!1 = cell43)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13635, 6584])).
% 2.70/2.80 tff(13637,plain,
% 2.70/2.80 ((~(cell43 = cell12)) <=> (~(X!1 = cell43))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13636])).
% 2.70/2.80 tff(13638,plain,
% 2.70/2.80 (~(X!1 = cell43)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3085, 13637])).
% 2.70/2.80 tff(13639,plain,
% 2.70/2.80 (((~(X!1 = cell43)) | (~(Y!0 = cell44))) | (X!1 = cell43)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13640,plain,
% 2.70/2.80 ((~(X!1 = cell43)) | (~(Y!0 = cell44))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13639, 13638])).
% 2.70/2.80 tff(13641,plain,
% 2.70/2.80 ((cell44 = cell12) <=> (cell44 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13642,plain,
% 2.70/2.80 ((cell44 = cell12) <=> (X!1 = cell44)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13641, 6576])).
% 2.70/2.80 tff(13643,plain,
% 2.70/2.80 ((~(cell44 = cell12)) <=> (~(X!1 = cell44))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13642])).
% 2.70/2.80 tff(13644,plain,
% 2.70/2.80 (~(X!1 = cell44)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3096, 13643])).
% 2.70/2.80 tff(13645,plain,
% 2.70/2.80 (((~(X!1 = cell44)) | (~(Y!0 = cell45))) | (X!1 = cell44)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13646,plain,
% 2.70/2.80 ((~(X!1 = cell44)) | (~(Y!0 = cell45))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13645, 13644])).
% 2.70/2.80 tff(13647,plain,
% 2.70/2.80 (((~(X!1 = cell45)) | (~(Y!0 = cell46))) | (X!1 = cell45)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13648,plain,
% 2.70/2.80 ((~(X!1 = cell45)) | (~(Y!0 = cell46))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13647, 12893])).
% 2.70/2.80 tff(13649,plain,
% 2.70/2.80 ((cell46 = cell12) <=> (cell46 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13650,plain,
% 2.70/2.80 ((cell46 = cell12) <=> (X!1 = cell46)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13649, 6560])).
% 2.70/2.80 tff(13651,plain,
% 2.70/2.80 ((~(cell46 = cell12)) <=> (~(X!1 = cell46))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13650])).
% 2.70/2.80 tff(13652,plain,
% 2.70/2.80 (~(X!1 = cell46)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3118, 13651])).
% 2.70/2.80 tff(13653,plain,
% 2.70/2.80 (((~(X!1 = cell46)) | (~(Y!0 = cell47))) | (X!1 = cell46)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13654,plain,
% 2.70/2.80 ((~(X!1 = cell46)) | (~(Y!0 = cell47))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13653, 13652])).
% 2.70/2.80 tff(13655,plain,
% 2.70/2.80 (((~(X!1 = cell47)) | (~(Y!0 = cell48))) | (X!1 = cell47)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13656,plain,
% 2.70/2.80 ((~(X!1 = cell47)) | (~(Y!0 = cell48))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13655, 12898])).
% 2.70/2.80 tff(13657,plain,
% 2.70/2.80 ((cell48 = cell12) <=> (cell48 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13658,plain,
% 2.70/2.80 ((cell48 = cell12) <=> (X!1 = cell48)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13657, 6544])).
% 2.70/2.80 tff(13659,plain,
% 2.70/2.80 ((~(cell48 = cell12)) <=> (~(X!1 = cell48))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13658])).
% 2.70/2.80 tff(13660,plain,
% 2.70/2.80 (~(X!1 = cell48)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3140, 13659])).
% 2.70/2.80 tff(13661,plain,
% 2.70/2.80 (((~(X!1 = cell48)) | (~(Y!0 = cell49))) | (X!1 = cell48)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13662,plain,
% 2.70/2.80 ((~(X!1 = cell48)) | (~(Y!0 = cell49))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13661, 13660])).
% 2.70/2.80 tff(13663,plain,
% 2.70/2.80 (((~(X!1 = cell49)) | (~(Y!0 = cell50))) | (X!1 = cell49)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13664,plain,
% 2.70/2.80 ((~(X!1 = cell49)) | (~(Y!0 = cell50))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13663, 12903])).
% 2.70/2.80 tff(13665,plain,
% 2.70/2.80 ((cell51 = cell12) <=> (cell51 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13666,plain,
% 2.70/2.80 ((cell51 = cell12) <=> (X!1 = cell51)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13665, 6161])).
% 2.70/2.80 tff(13667,plain,
% 2.70/2.80 ((~(cell51 = cell12)) <=> (~(X!1 = cell51))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13666])).
% 2.70/2.80 tff(13668,plain,
% 2.70/2.80 (~(X!1 = cell51)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3162, 13667])).
% 2.70/2.80 tff(13669,plain,
% 2.70/2.80 (((~(X!1 = cell51)) | (~(Y!0 = cell52))) | (X!1 = cell51)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13670,plain,
% 2.70/2.80 ((~(X!1 = cell51)) | (~(Y!0 = cell52))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13669, 13668])).
% 2.70/2.80 tff(13671,plain,
% 2.70/2.80 ((cell52 = cell12) <=> (cell52 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13672,plain,
% 2.70/2.80 ((cell52 = cell12) <=> (X!1 = cell52)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13671, 6520])).
% 2.70/2.80 tff(13673,plain,
% 2.70/2.80 ((~(cell52 = cell12)) <=> (~(X!1 = cell52))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13672])).
% 2.70/2.80 tff(13674,plain,
% 2.70/2.80 (~(X!1 = cell52)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3173, 13673])).
% 2.70/2.80 tff(13675,plain,
% 2.70/2.80 (((~(X!1 = cell52)) | (~(Y!0 = cell53))) | (X!1 = cell52)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13676,plain,
% 2.70/2.80 ((~(X!1 = cell52)) | (~(Y!0 = cell53))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13675, 13674])).
% 2.70/2.80 tff(13677,plain,
% 2.70/2.80 ((cell53 = cell12) <=> (cell53 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13678,plain,
% 2.70/2.80 ((cell53 = cell12) <=> (X!1 = cell53)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13677, 6512])).
% 2.70/2.80 tff(13679,plain,
% 2.70/2.80 ((~(cell53 = cell12)) <=> (~(X!1 = cell53))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13678])).
% 2.70/2.80 tff(13680,plain,
% 2.70/2.80 (~(X!1 = cell53)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3184, 13679])).
% 2.70/2.80 tff(13681,plain,
% 2.70/2.80 (((~(X!1 = cell53)) | (~(Y!0 = cell54))) | (X!1 = cell53)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13682,plain,
% 2.70/2.80 ((~(X!1 = cell53)) | (~(Y!0 = cell54))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13681, 13680])).
% 2.70/2.80 tff(13683,plain,
% 2.70/2.80 ((cell54 = cell12) <=> (cell54 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13684,plain,
% 2.70/2.80 ((cell54 = cell12) <=> (X!1 = cell54)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13683, 6504])).
% 2.70/2.80 tff(13685,plain,
% 2.70/2.80 ((~(cell54 = cell12)) <=> (~(X!1 = cell54))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13684])).
% 2.70/2.80 tff(13686,plain,
% 2.70/2.80 (~(X!1 = cell54)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3195, 13685])).
% 2.70/2.80 tff(13687,plain,
% 2.70/2.80 (((~(X!1 = cell54)) | (~(Y!0 = cell55))) | (X!1 = cell54)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13688,plain,
% 2.70/2.80 ((~(X!1 = cell54)) | (~(Y!0 = cell55))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13687, 13686])).
% 2.70/2.80 tff(13689,plain,
% 2.70/2.80 (((~(X!1 = cell55)) | (~(Y!0 = cell56))) | (X!1 = cell55)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13690,plain,
% 2.70/2.80 ((~(X!1 = cell55)) | (~(Y!0 = cell56))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13689, 12908])).
% 2.70/2.80 tff(13691,plain,
% 2.70/2.80 ((cell56 = cell12) <=> (cell56 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13692,plain,
% 2.70/2.80 ((cell56 = cell12) <=> (X!1 = cell56)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13691, 6488])).
% 2.70/2.80 tff(13693,plain,
% 2.70/2.80 ((~(cell56 = cell12)) <=> (~(X!1 = cell56))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13692])).
% 2.70/2.80 tff(13694,plain,
% 2.70/2.80 (~(X!1 = cell56)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3217, 13693])).
% 2.70/2.80 tff(13695,plain,
% 2.70/2.80 (((~(X!1 = cell56)) | (~(Y!0 = cell57))) | (X!1 = cell56)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13696,plain,
% 2.70/2.80 ((~(X!1 = cell56)) | (~(Y!0 = cell57))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13695, 13694])).
% 2.70/2.80 tff(13697,plain,
% 2.70/2.80 ((cell57 = cell12) <=> (cell57 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13698,plain,
% 2.70/2.80 ((cell57 = cell12) <=> (X!1 = cell57)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13697, 6480])).
% 2.70/2.80 tff(13699,plain,
% 2.70/2.80 ((~(cell57 = cell12)) <=> (~(X!1 = cell57))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13698])).
% 2.70/2.80 tff(13700,plain,
% 2.70/2.80 (~(X!1 = cell57)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3228, 13699])).
% 2.70/2.80 tff(13701,plain,
% 2.70/2.80 (((~(X!1 = cell57)) | (~(Y!0 = cell58))) | (X!1 = cell57)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13702,plain,
% 2.70/2.80 ((~(X!1 = cell57)) | (~(Y!0 = cell58))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13701, 13700])).
% 2.70/2.80 tff(13703,plain,
% 2.70/2.80 (((~(X!1 = cell58)) | (~(Y!0 = cell59))) | (X!1 = cell58)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13704,plain,
% 2.70/2.80 ((~(X!1 = cell58)) | (~(Y!0 = cell59))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13703, 12913])).
% 2.70/2.80 tff(13705,plain,
% 2.70/2.80 (((~(X!1 = cell59)) | (~(Y!0 = cell60))) | (X!1 = cell59)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13706,plain,
% 2.70/2.80 ((~(X!1 = cell59)) | (~(Y!0 = cell60))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13705, 12918])).
% 2.70/2.80 tff(13707,plain,
% 2.70/2.80 (((~(X!1 = cell61)) | (~(Y!0 = cell62))) | (X!1 = cell61)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13708,plain,
% 2.70/2.80 ((~(X!1 = cell61)) | (~(Y!0 = cell62))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13707, 12977])).
% 2.70/2.80 tff(13709,plain,
% 2.70/2.80 ((cell62 = cell12) <=> (cell62 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13710,plain,
% 2.70/2.80 ((cell62 = cell12) <=> (X!1 = cell62)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13709, 6448])).
% 2.70/2.80 tff(13711,plain,
% 2.70/2.80 ((~(cell62 = cell12)) <=> (~(X!1 = cell62))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13710])).
% 2.70/2.80 tff(13712,plain,
% 2.70/2.80 (~(X!1 = cell62)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3272, 13711])).
% 2.70/2.80 tff(13713,plain,
% 2.70/2.80 (((~(X!1 = cell62)) | (~(Y!0 = cell63))) | (X!1 = cell62)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13714,plain,
% 2.70/2.80 ((~(X!1 = cell62)) | (~(Y!0 = cell63))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13713, 13712])).
% 2.70/2.80 tff(13715,plain,
% 2.70/2.80 ((cell63 = cell12) <=> (cell63 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13716,plain,
% 2.70/2.80 ((cell63 = cell12) <=> (X!1 = cell63)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13715, 6440])).
% 2.70/2.80 tff(13717,plain,
% 2.70/2.80 ((~(cell63 = cell12)) <=> (~(X!1 = cell63))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13716])).
% 2.70/2.80 tff(13718,plain,
% 2.70/2.80 (~(X!1 = cell63)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3283, 13717])).
% 2.70/2.80 tff(13719,plain,
% 2.70/2.80 (((~(X!1 = cell63)) | (~(Y!0 = cell64))) | (X!1 = cell63)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13720,plain,
% 2.70/2.80 ((~(X!1 = cell63)) | (~(Y!0 = cell64))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13719, 13718])).
% 2.70/2.80 tff(13721,plain,
% 2.70/2.80 ((cell64 = cell12) <=> (cell64 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13722,plain,
% 2.70/2.80 ((cell64 = cell12) <=> (X!1 = cell64)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13721, 6432])).
% 2.70/2.80 tff(13723,plain,
% 2.70/2.80 ((~(cell64 = cell12)) <=> (~(X!1 = cell64))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13722])).
% 2.70/2.80 tff(13724,plain,
% 2.70/2.80 (~(X!1 = cell64)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3294, 13723])).
% 2.70/2.80 tff(13725,plain,
% 2.70/2.80 (((~(X!1 = cell64)) | (~(Y!0 = cell65))) | (X!1 = cell64)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13726,plain,
% 2.70/2.80 ((~(X!1 = cell64)) | (~(Y!0 = cell65))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13725, 13724])).
% 2.70/2.80 tff(13727,plain,
% 2.70/2.80 ((cell65 = cell12) <=> (cell65 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13728,plain,
% 2.70/2.80 ((cell65 = cell12) <=> (X!1 = cell65)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13727, 6424])).
% 2.70/2.80 tff(13729,plain,
% 2.70/2.80 ((~(cell65 = cell12)) <=> (~(X!1 = cell65))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13728])).
% 2.70/2.80 tff(13730,plain,
% 2.70/2.80 (~(X!1 = cell65)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3305, 13729])).
% 2.70/2.80 tff(13731,plain,
% 2.70/2.80 (((~(X!1 = cell65)) | (~(Y!0 = cell66))) | (X!1 = cell65)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13732,plain,
% 2.70/2.80 ((~(X!1 = cell65)) | (~(Y!0 = cell66))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13731, 13730])).
% 2.70/2.80 tff(13733,plain,
% 2.70/2.80 ((cell66 = cell12) <=> (cell66 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13734,plain,
% 2.70/2.80 ((cell66 = cell12) <=> (X!1 = cell66)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13733, 6416])).
% 2.70/2.80 tff(13735,plain,
% 2.70/2.80 ((~(cell66 = cell12)) <=> (~(X!1 = cell66))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13734])).
% 2.70/2.80 tff(13736,plain,
% 2.70/2.80 (~(X!1 = cell66)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3316, 13735])).
% 2.70/2.80 tff(13737,plain,
% 2.70/2.80 (((~(X!1 = cell66)) | (~(Y!0 = cell67))) | (X!1 = cell66)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13738,plain,
% 2.70/2.80 ((~(X!1 = cell66)) | (~(Y!0 = cell67))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13737, 13736])).
% 2.70/2.80 tff(13739,plain,
% 2.70/2.80 ((cell67 = cell12) <=> (cell67 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13740,plain,
% 2.70/2.80 ((cell67 = cell12) <=> (X!1 = cell67)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13739, 6408])).
% 2.70/2.80 tff(13741,plain,
% 2.70/2.80 ((~(cell67 = cell12)) <=> (~(X!1 = cell67))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13740])).
% 2.70/2.80 tff(13742,plain,
% 2.70/2.80 (~(X!1 = cell67)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3327, 13741])).
% 2.70/2.80 tff(13743,plain,
% 2.70/2.80 (((~(X!1 = cell67)) | (~(Y!0 = cell68))) | (X!1 = cell67)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13744,plain,
% 2.70/2.80 ((~(X!1 = cell67)) | (~(Y!0 = cell68))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13743, 13742])).
% 2.70/2.80 tff(13745,plain,
% 2.70/2.80 (((~(X!1 = cell68)) | (~(Y!0 = cell69))) | (X!1 = cell68)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13746,plain,
% 2.70/2.80 ((~(X!1 = cell68)) | (~(Y!0 = cell69))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13745, 12928])).
% 2.70/2.80 tff(13747,plain,
% 2.70/2.80 (((~(X!1 = cell69)) | (~(Y!0 = cell70))) | (X!1 = cell69)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13748,plain,
% 2.70/2.80 ((~(X!1 = cell69)) | (~(Y!0 = cell70))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13747, 1193])).
% 2.70/2.80 tff(13749,plain,
% 2.70/2.80 ((cell71 = cell12) <=> (cell71 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13750,plain,
% 2.70/2.80 ((cell71 = cell12) <=> (X!1 = cell71)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13749, 6145])).
% 2.70/2.80 tff(13751,plain,
% 2.70/2.80 ((~(cell71 = cell12)) <=> (~(X!1 = cell71))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13750])).
% 2.70/2.80 tff(13752,plain,
% 2.70/2.80 (~(X!1 = cell71)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3357, 13751])).
% 2.70/2.80 tff(13753,plain,
% 2.70/2.80 (((~(X!1 = cell71)) | (~(Y!0 = cell72))) | (X!1 = cell71)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13754,plain,
% 2.70/2.80 ((~(X!1 = cell71)) | (~(Y!0 = cell72))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13753, 13752])).
% 2.70/2.80 tff(13755,plain,
% 2.70/2.80 ((cell72 = cell12) <=> (cell72 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13756,plain,
% 2.70/2.80 ((cell72 = cell12) <=> (X!1 = cell72)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13755, 6380])).
% 2.70/2.80 tff(13757,plain,
% 2.70/2.80 ((~(cell72 = cell12)) <=> (~(X!1 = cell72))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13756])).
% 2.70/2.80 tff(13758,plain,
% 2.70/2.80 (~(X!1 = cell72)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3368, 13757])).
% 2.70/2.80 tff(13759,plain,
% 2.70/2.80 (((~(X!1 = cell72)) | (~(Y!0 = cell73))) | (X!1 = cell72)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13760,plain,
% 2.70/2.80 ((~(X!1 = cell72)) | (~(Y!0 = cell73))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13759, 13758])).
% 2.70/2.80 tff(13761,plain,
% 2.70/2.80 (((~(X!1 = cell73)) | (~(Y!0 = cell74))) | (X!1 = cell73)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13762,plain,
% 2.70/2.80 ((~(X!1 = cell73)) | (~(Y!0 = cell74))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13761, 12933])).
% 2.70/2.80 tff(13763,plain,
% 2.70/2.80 (((~(X!1 = cell74)) | (~(Y!0 = cell75))) | (X!1 = cell74)),
% 2.70/2.80 inference(tautology,[status(thm)],[])).
% 2.70/2.80 tff(13764,plain,
% 2.70/2.80 ((~(X!1 = cell74)) | (~(Y!0 = cell75))),
% 2.70/2.80 inference(unit_resolution,[status(thm)],[13763, 12938])).
% 2.70/2.80 tff(13765,plain,
% 2.70/2.80 ((cell75 = cell12) <=> (cell75 = X!1)),
% 2.70/2.80 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.80 tff(13766,plain,
% 2.70/2.80 ((cell75 = cell12) <=> (X!1 = cell75)),
% 2.70/2.80 inference(transitivity,[status(thm)],[13765, 6356])).
% 2.70/2.80 tff(13767,plain,
% 2.70/2.80 ((~(cell75 = cell12)) <=> (~(X!1 = cell75))),
% 2.70/2.80 inference(monotonicity,[status(thm)],[13766])).
% 2.70/2.80 tff(13768,plain,
% 2.70/2.80 (~(X!1 = cell75)),
% 2.70/2.80 inference(modus_ponens,[status(thm)],[3401, 13767])).
% 2.70/2.80 tff(13769,plain,
% 2.70/2.80 (((~(X!1 = cell75)) | (~(Y!0 = cell76))) | (X!1 = cell75)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13770,plain,
% 2.70/2.81 ((~(X!1 = cell75)) | (~(Y!0 = cell76))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13769, 13768])).
% 2.70/2.81 tff(13771,plain,
% 2.70/2.81 (((~(X!1 = cell76)) | (~(Y!0 = cell77))) | (X!1 = cell76)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13772,plain,
% 2.70/2.81 ((~(X!1 = cell76)) | (~(Y!0 = cell77))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13771, 12943])).
% 2.70/2.81 tff(13773,plain,
% 2.70/2.81 ((cell77 = cell12) <=> (cell77 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13774,plain,
% 2.70/2.81 ((cell77 = cell12) <=> (X!1 = cell77)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13773, 6340])).
% 2.70/2.81 tff(13775,plain,
% 2.70/2.81 ((~(cell77 = cell12)) <=> (~(X!1 = cell77))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13774])).
% 2.70/2.81 tff(13776,plain,
% 2.70/2.81 (~(X!1 = cell77)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3423, 13775])).
% 2.70/2.81 tff(13777,plain,
% 2.70/2.81 (((~(X!1 = cell77)) | (~(Y!0 = cell78))) | (X!1 = cell77)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13778,plain,
% 2.70/2.81 ((~(X!1 = cell77)) | (~(Y!0 = cell78))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13777, 13776])).
% 2.70/2.81 tff(13779,plain,
% 2.70/2.81 (((~(X!1 = cell79)) | (~(Y!0 = cell80))) | (X!1 = cell79)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13780,plain,
% 2.70/2.81 ((~(X!1 = cell79)) | (~(Y!0 = cell80))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13779, 12949])).
% 2.70/2.81 tff(13781,plain,
% 2.70/2.81 ((cell81 = cell12) <=> (cell81 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13782,plain,
% 2.70/2.81 ((cell81 = cell12) <=> (X!1 = cell81)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13781, 6137])).
% 2.70/2.81 tff(13783,plain,
% 2.70/2.81 ((~(cell81 = cell12)) <=> (~(X!1 = cell81))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13782])).
% 2.70/2.81 tff(13784,plain,
% 2.70/2.81 (~(X!1 = cell81)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3442, 13783])).
% 2.70/2.81 tff(13785,plain,
% 2.70/2.81 (((~(X!1 = cell81)) | (~(Y!0 = cell82))) | (X!1 = cell81)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13786,plain,
% 2.70/2.81 ((~(X!1 = cell81)) | (~(Y!0 = cell82))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13785, 13784])).
% 2.70/2.81 tff(13787,plain,
% 2.70/2.81 ((cell82 = cell12) <=> (cell82 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13788,plain,
% 2.70/2.81 ((cell82 = cell12) <=> (X!1 = cell82)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13787, 6306])).
% 2.70/2.81 tff(13789,plain,
% 2.70/2.81 ((~(cell82 = cell12)) <=> (~(X!1 = cell82))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13788])).
% 2.70/2.81 tff(13790,plain,
% 2.70/2.81 (~(X!1 = cell82)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3453, 13789])).
% 2.70/2.81 tff(13791,plain,
% 2.70/2.81 (((~(X!1 = cell82)) | (~(Y!0 = cell83))) | (X!1 = cell82)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13792,plain,
% 2.70/2.81 ((~(X!1 = cell82)) | (~(Y!0 = cell83))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13791, 13790])).
% 2.70/2.81 tff(13793,plain,
% 2.70/2.81 (((~(X!1 = cell83)) | (~(Y!0 = cell84))) | (X!1 = cell83)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13794,plain,
% 2.70/2.81 ((~(X!1 = cell83)) | (~(Y!0 = cell84))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13793, 12954])).
% 2.70/2.81 tff(13795,plain,
% 2.70/2.81 ((cell84 = cell12) <=> (cell84 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13796,plain,
% 2.70/2.81 ((cell84 = cell12) <=> (X!1 = cell84)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13795, 6290])).
% 2.70/2.81 tff(13797,plain,
% 2.70/2.81 ((~(cell84 = cell12)) <=> (~(X!1 = cell84))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13796])).
% 2.70/2.81 tff(13798,plain,
% 2.70/2.81 (~(X!1 = cell84)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3475, 13797])).
% 2.70/2.81 tff(13799,plain,
% 2.70/2.81 (((~(X!1 = cell84)) | (~(Y!0 = cell85))) | (X!1 = cell84)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13800,plain,
% 2.70/2.81 ((~(X!1 = cell84)) | (~(Y!0 = cell85))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13799, 13798])).
% 2.70/2.81 tff(13801,plain,
% 2.70/2.81 ((cell85 = cell12) <=> (cell85 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13802,plain,
% 2.70/2.81 ((cell85 = cell12) <=> (X!1 = cell85)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13801, 6282])).
% 2.70/2.81 tff(13803,plain,
% 2.70/2.81 ((~(cell85 = cell12)) <=> (~(X!1 = cell85))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13802])).
% 2.70/2.81 tff(13804,plain,
% 2.70/2.81 (~(X!1 = cell85)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3486, 13803])).
% 2.70/2.81 tff(13805,plain,
% 2.70/2.81 (((~(X!1 = cell85)) | (~(Y!0 = cell86))) | (X!1 = cell85)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13806,plain,
% 2.70/2.81 ((~(X!1 = cell85)) | (~(Y!0 = cell86))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13805, 13804])).
% 2.70/2.81 tff(13807,plain,
% 2.70/2.81 (((~(X!1 = cell86)) | (~(Y!0 = cell87))) | (X!1 = cell86)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13808,plain,
% 2.70/2.81 ((~(X!1 = cell86)) | (~(Y!0 = cell87))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13807, 13445])).
% 2.70/2.81 tff(13809,plain,
% 2.70/2.81 (((~(X!1 = cell22)) | (~(Y!0 = cell32))) | (X!1 = cell22)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13810,plain,
% 2.70/2.81 ((~(X!1 = cell22)) | (~(Y!0 = cell32))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13809, 13539])).
% 2.70/2.81 tff(13811,plain,
% 2.70/2.81 (((~(X!1 = cell89)) | (~(Y!0 = cell90))) | (X!1 = cell89)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13812,plain,
% 2.70/2.81 ((~(X!1 = cell89)) | (~(Y!0 = cell90))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13811, 9304])).
% 2.70/2.81 tff(13813,plain,
% 2.70/2.81 (((~(X!1 = cell91)) | (~(Y!0 = cell92))) | (X!1 = cell91)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13814,plain,
% 2.70/2.81 ((~(X!1 = cell91)) | (~(Y!0 = cell92))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13813, 12998])).
% 2.70/2.81 tff(13815,plain,
% 2.70/2.81 ((cell92 = cell12) <=> (cell92 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13816,plain,
% 2.70/2.81 ((cell92 = cell12) <=> (X!1 = cell92)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13815, 3866])).
% 2.70/2.81 tff(13817,plain,
% 2.70/2.81 ((~(cell92 = cell12)) <=> (~(X!1 = cell92))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13816])).
% 2.70/2.81 tff(13818,plain,
% 2.70/2.81 (~(X!1 = cell92)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[2225, 13817])).
% 2.70/2.81 tff(13819,plain,
% 2.70/2.81 (((~(X!1 = cell92)) | (~(Y!0 = cell93))) | (X!1 = cell92)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13820,plain,
% 2.70/2.81 ((~(X!1 = cell92)) | (~(Y!0 = cell93))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13819, 13818])).
% 2.70/2.81 tff(13821,plain,
% 2.70/2.81 ((cell93 = cell12) <=> (cell93 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13822,plain,
% 2.70/2.81 ((cell93 = cell12) <=> (X!1 = cell93)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13821, 3875])).
% 2.70/2.81 tff(13823,plain,
% 2.70/2.81 ((~(cell93 = cell12)) <=> (~(X!1 = cell93))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13822])).
% 2.70/2.81 tff(13824,plain,
% 2.70/2.81 (~(X!1 = cell93)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[2236, 13823])).
% 2.70/2.81 tff(13825,plain,
% 2.70/2.81 (((~(X!1 = cell93)) | (~(Y!0 = cell94))) | (X!1 = cell93)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13826,plain,
% 2.70/2.81 ((~(X!1 = cell93)) | (~(Y!0 = cell94))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13825, 13824])).
% 2.70/2.81 tff(13827,plain,
% 2.70/2.81 ((cell94 = cell12) <=> (cell94 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13828,plain,
% 2.70/2.81 ((cell94 = cell12) <=> (X!1 = cell94)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13827, 3884])).
% 2.70/2.81 tff(13829,plain,
% 2.70/2.81 ((~(cell94 = cell12)) <=> (~(X!1 = cell94))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13828])).
% 2.70/2.81 tff(13830,plain,
% 2.70/2.81 (~(X!1 = cell94)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[2247, 13829])).
% 2.70/2.81 tff(13831,plain,
% 2.70/2.81 (((~(X!1 = cell94)) | (~(Y!0 = cell95))) | (X!1 = cell94)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13832,plain,
% 2.70/2.81 ((~(X!1 = cell94)) | (~(Y!0 = cell95))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13831, 13830])).
% 2.70/2.81 tff(13833,plain,
% 2.70/2.81 ((cell95 = cell12) <=> (cell95 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13834,plain,
% 2.70/2.81 ((cell95 = cell12) <=> (X!1 = cell95)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13833, 2])).
% 2.70/2.81 tff(13835,plain,
% 2.70/2.81 ((~(cell95 = cell12)) <=> (~(X!1 = cell95))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13834])).
% 2.70/2.81 tff(13836,plain,
% 2.70/2.81 (~(X!1 = cell95)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[2258, 13835])).
% 2.70/2.81 tff(13837,plain,
% 2.70/2.81 (((~(X!1 = cell95)) | (~(Y!0 = cell96))) | (X!1 = cell95)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13838,plain,
% 2.70/2.81 ((~(X!1 = cell95)) | (~(Y!0 = cell96))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13837, 13836])).
% 2.70/2.81 tff(13839,plain,
% 2.70/2.81 ((cell96 = cell12) <=> (cell96 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13840,plain,
% 2.70/2.81 ((cell96 = cell12) <=> (X!1 = cell96)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13839, 3901])).
% 2.70/2.81 tff(13841,plain,
% 2.70/2.81 ((~(cell96 = cell12)) <=> (~(X!1 = cell96))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13840])).
% 2.70/2.81 tff(13842,plain,
% 2.70/2.81 (~(X!1 = cell96)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[2269, 13841])).
% 2.70/2.81 tff(13843,plain,
% 2.70/2.81 (((~(X!1 = cell96)) | (~(Y!0 = cell97))) | (X!1 = cell96)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13844,plain,
% 2.70/2.81 ((~(X!1 = cell96)) | (~(Y!0 = cell97))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13843, 13842])).
% 2.70/2.81 tff(13845,plain,
% 2.70/2.81 ((cell97 = cell12) <=> (cell97 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13846,plain,
% 2.70/2.81 ((cell97 = cell12) <=> (X!1 = cell97)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13845, 3910])).
% 2.70/2.81 tff(13847,plain,
% 2.70/2.81 ((~(cell97 = cell12)) <=> (~(X!1 = cell97))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13846])).
% 2.70/2.81 tff(13848,plain,
% 2.70/2.81 (~(X!1 = cell97)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[2280, 13847])).
% 2.70/2.81 tff(13849,plain,
% 2.70/2.81 (((~(X!1 = cell97)) | (~(Y!0 = cell98))) | (X!1 = cell97)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13850,plain,
% 2.70/2.81 ((~(X!1 = cell97)) | (~(Y!0 = cell98))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13849, 13848])).
% 2.70/2.81 tff(13851,plain,
% 2.70/2.81 ((cell88 = cell12) <=> (cell88 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13852,plain,
% 2.70/2.81 ((cell88 = cell12) <=> (X!1 = cell88)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13851, 6321])).
% 2.70/2.81 tff(13853,plain,
% 2.70/2.81 ((~(cell88 = cell12)) <=> (~(X!1 = cell88))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13852])).
% 2.70/2.81 tff(13854,plain,
% 2.70/2.81 (~(X!1 = cell88)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3743, 13853])).
% 2.70/2.81 tff(13855,plain,
% 2.70/2.81 (((~(X!1 = cell88)) | (~(Y!0 = cell98))) | (X!1 = cell88)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13856,plain,
% 2.70/2.81 ((~(X!1 = cell88)) | (~(Y!0 = cell98))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13855, 13854])).
% 2.70/2.81 tff(13857,plain,
% 2.70/2.81 ((cell99 = cell12) <=> (cell99 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13858,plain,
% 2.70/2.81 ((cell99 = cell12) <=> (X!1 = cell99)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13857, 3928])).
% 2.70/2.81 tff(13859,plain,
% 2.70/2.81 ((~(cell99 = cell12)) <=> (~(X!1 = cell99))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13858])).
% 2.70/2.81 tff(13860,plain,
% 2.70/2.81 (~(X!1 = cell99)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[2302, 13859])).
% 2.70/2.81 tff(13861,plain,
% 2.70/2.81 (((~(X!1 = cell99)) | (~(Y!0 = cell100))) | (X!1 = cell99)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13862,plain,
% 2.70/2.81 ((~(X!1 = cell99)) | (~(Y!0 = cell100))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13861, 13860])).
% 2.70/2.81 tff(13863,plain,
% 2.70/2.81 ((cell1 = X!1) <=> (X!1 = cell1)),
% 2.70/2.81 inference(commutativity,[status(thm)],[])).
% 2.70/2.81 tff(13864,plain,
% 2.70/2.81 ((cell1 = cell12) <=> (cell1 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13865,plain,
% 2.70/2.81 ((cell1 = cell12) <=> (X!1 = cell1)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13864, 13863])).
% 2.70/2.81 tff(13866,plain,
% 2.70/2.81 ((~(cell1 = cell12)) <=> (~(X!1 = cell1))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13865])).
% 2.70/2.81 tff(13867,plain,
% 2.70/2.81 ((~(cell1 = cell12)) <=> (~(cell1 = cell12))),
% 2.70/2.81 inference(rewrite,[status(thm)],[])).
% 2.70/2.81 tff(13868,axiom,(~(cell1 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49881')).
% 2.70/2.81 tff(13869,plain,
% 2.70/2.81 (~(cell1 = cell12)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 2.70/2.81 tff(13870,plain,
% 2.70/2.81 (~(X!1 = cell1)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[13869, 13866])).
% 2.70/2.81 tff(13871,plain,
% 2.70/2.81 (((~(X!1 = cell1)) | (~(Y!0 = cell11))) | (X!1 = cell1)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13872,plain,
% 2.70/2.81 ((~(X!1 = cell1)) | (~(Y!0 = cell11))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13871, 13870])).
% 2.70/2.81 tff(13873,plain,
% 2.70/2.81 (((~(X!1 = cell2)) | (~(Y!0 = cell12))) | (X!1 = cell2)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13874,plain,
% 2.70/2.81 ((~(X!1 = cell2)) | (~(Y!0 = cell12))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13873, 13450])).
% 2.70/2.81 tff(13875,plain,
% 2.70/2.81 (((~(X!1 = cell4)) | (~(Y!0 = cell14))) | (X!1 = cell4)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13876,plain,
% 2.70/2.81 ((~(X!1 = cell4)) | (~(Y!0 = cell14))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13875, 13462])).
% 2.70/2.81 tff(13877,plain,
% 2.70/2.81 (((~(X!1 = cell5)) | (~(Y!0 = cell15))) | (X!1 = cell5)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13878,plain,
% 2.70/2.81 ((~(X!1 = cell5)) | (~(Y!0 = cell15))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13877, 12853])).
% 2.70/2.81 tff(13879,plain,
% 2.70/2.81 (((~(X!1 = cell6)) | (~(Y!0 = cell16))) | (X!1 = cell6)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13880,plain,
% 2.70/2.81 ((~(X!1 = cell6)) | (~(Y!0 = cell16))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13879, 13470])).
% 2.70/2.81 tff(13881,plain,
% 2.70/2.81 (((~(X!1 = cell7)) | (~(Y!0 = cell17))) | (X!1 = cell7)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13882,plain,
% 2.70/2.81 ((~(X!1 = cell7)) | (~(Y!0 = cell17))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13881, 13476])).
% 2.70/2.81 tff(13883,plain,
% 2.70/2.81 (((~(X!1 = cell8)) | (~(Y!0 = cell18))) | (X!1 = cell8)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13884,plain,
% 2.70/2.81 ((~(X!1 = cell8)) | (~(Y!0 = cell18))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13883, 13482])).
% 2.70/2.81 tff(13885,plain,
% 2.70/2.81 (((~(X!1 = cell9)) | (~(Y!0 = cell19))) | (X!1 = cell9)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13886,plain,
% 2.70/2.81 ((~(X!1 = cell9)) | (~(Y!0 = cell19))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13885, 12858])).
% 2.70/2.81 tff(13887,plain,
% 2.70/2.81 ((cell10 = cell12) <=> (cell10 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13888,plain,
% 2.70/2.81 ((cell10 = cell12) <=> (X!1 = cell10)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13887, 6776])).
% 2.70/2.81 tff(13889,plain,
% 2.70/2.81 ((~(cell10 = cell12)) <=> (~(X!1 = cell10))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13888])).
% 2.70/2.81 tff(13890,plain,
% 2.70/2.81 (~(X!1 = cell10)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3520, 13889])).
% 2.70/2.81 tff(13891,plain,
% 2.70/2.81 (((~(X!1 = cell10)) | (~(Y!0 = cell20))) | (X!1 = cell10)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13892,plain,
% 2.70/2.81 ((~(X!1 = cell10)) | (~(Y!0 = cell20))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13891, 13890])).
% 2.70/2.81 tff(13893,plain,
% 2.70/2.81 (((~(X!1 = cell85)) | (~(Y!0 = cell95))) | (X!1 = cell85)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13894,plain,
% 2.70/2.81 ((~(X!1 = cell85)) | (~(Y!0 = cell95))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13893, 13804])).
% 2.70/2.81 tff(13895,plain,
% 2.70/2.81 (((~(X!1 = cell84)) | (~(Y!0 = cell94))) | (X!1 = cell84)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13896,plain,
% 2.70/2.81 ((~(X!1 = cell84)) | (~(Y!0 = cell94))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13895, 13798])).
% 2.70/2.81 tff(13897,plain,
% 2.70/2.81 (((~(X!1 = cell13)) | (~(Y!0 = cell23))) | (X!1 = cell13)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13898,plain,
% 2.70/2.81 ((~(X!1 = cell13)) | (~(Y!0 = cell23))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13897, 29])).
% 2.70/2.81 tff(13899,plain,
% 2.70/2.81 (((~(X!1 = cell14)) | (~(Y!0 = cell24))) | (X!1 = cell14)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13900,plain,
% 2.70/2.81 ((~(X!1 = cell14)) | (~(Y!0 = cell24))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13899, 13503])).
% 2.70/2.81 tff(13901,plain,
% 2.70/2.81 (((~(X!1 = cell15)) | (~(Y!0 = cell25))) | (X!1 = cell15)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13902,plain,
% 2.70/2.81 ((~(X!1 = cell15)) | (~(Y!0 = cell25))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13901, 13509])).
% 2.70/2.81 tff(13903,plain,
% 2.70/2.81 (((~(X!1 = cell16)) | (~(Y!0 = cell26))) | (X!1 = cell16)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13904,plain,
% 2.70/2.81 ((~(X!1 = cell16)) | (~(Y!0 = cell26))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13903, 12863])).
% 2.70/2.81 tff(13905,plain,
% 2.70/2.81 (((~(X!1 = cell17)) | (~(Y!0 = cell27))) | (X!1 = cell17)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13906,plain,
% 2.70/2.81 ((~(X!1 = cell17)) | (~(Y!0 = cell27))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13905, 13517])).
% 2.70/2.81 tff(13907,plain,
% 2.70/2.81 (((~(X!1 = cell18)) | (~(Y!0 = cell28))) | (X!1 = cell18)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13908,plain,
% 2.70/2.81 ((~(X!1 = cell18)) | (~(Y!0 = cell28))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13907, 13523])).
% 2.70/2.81 tff(13909,plain,
% 2.70/2.81 (((~(X!1 = cell19)) | (~(Y!0 = cell29))) | (X!1 = cell19)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13910,plain,
% 2.70/2.81 ((~(X!1 = cell19)) | (~(Y!0 = cell29))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13909, 13529])).
% 2.70/2.81 tff(13911,plain,
% 2.70/2.81 ((cell20 = cell12) <=> (cell20 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13912,plain,
% 2.70/2.81 ((cell20 = cell12) <=> (X!1 = cell20)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13911, 6728])).
% 2.70/2.81 tff(13913,plain,
% 2.70/2.81 ((~(cell20 = cell12)) <=> (~(X!1 = cell20))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13912])).
% 2.70/2.81 tff(13914,plain,
% 2.70/2.81 (~(X!1 = cell20)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3554, 13913])).
% 2.70/2.81 tff(13915,plain,
% 2.70/2.81 (((~(X!1 = cell20)) | (~(Y!0 = cell30))) | (X!1 = cell20)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13916,plain,
% 2.70/2.81 ((~(X!1 = cell20)) | (~(Y!0 = cell30))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13915, 13914])).
% 2.70/2.81 tff(13917,plain,
% 2.70/2.81 ((cell21 = cell12) <=> (cell21 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13918,plain,
% 2.70/2.81 ((cell21 = cell12) <=> (X!1 = cell21)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13917, 9989])).
% 2.70/2.81 tff(13919,plain,
% 2.70/2.81 ((~(cell21 = cell12)) <=> (~(X!1 = cell21))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13918])).
% 2.70/2.81 tff(13920,plain,
% 2.70/2.81 (~(X!1 = cell21)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3565, 13919])).
% 2.70/2.81 tff(13921,plain,
% 2.70/2.81 (((~(X!1 = cell21)) | (~(Y!0 = cell31))) | (X!1 = cell21)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13922,plain,
% 2.70/2.81 ((~(X!1 = cell21)) | (~(Y!0 = cell31))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13921, 13920])).
% 2.70/2.81 tff(13923,plain,
% 2.70/2.81 (((~(X!1 = cell83)) | (~(Y!0 = cell93))) | (X!1 = cell83)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13924,plain,
% 2.70/2.81 ((~(X!1 = cell83)) | (~(Y!0 = cell93))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13923, 12954])).
% 2.70/2.81 tff(13925,plain,
% 2.70/2.81 (((~(X!1 = cell23)) | (~(Y!0 = cell33))) | (X!1 = cell23)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13926,plain,
% 2.70/2.81 ((~(X!1 = cell23)) | (~(Y!0 = cell33))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13925, 13546])).
% 2.70/2.81 tff(13927,plain,
% 2.70/2.81 (((~(X!1 = cell24)) | (~(Y!0 = cell34))) | (X!1 = cell24)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13928,plain,
% 2.70/2.81 ((~(X!1 = cell24)) | (~(Y!0 = cell34))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13927, 13552])).
% 2.70/2.81 tff(13929,plain,
% 2.70/2.81 (((~(X!1 = cell25)) | (~(Y!0 = cell35))) | (X!1 = cell25)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13930,plain,
% 2.70/2.81 ((~(X!1 = cell25)) | (~(Y!0 = cell35))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13929, 13558])).
% 2.70/2.81 tff(13931,plain,
% 2.70/2.81 (((~(X!1 = cell26)) | (~(Y!0 = cell36))) | (X!1 = cell26)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13932,plain,
% 2.70/2.81 ((~(X!1 = cell26)) | (~(Y!0 = cell36))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13931, 13564])).
% 2.70/2.81 tff(13933,plain,
% 2.70/2.81 (((~(X!1 = cell27)) | (~(Y!0 = cell37))) | (X!1 = cell27)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13934,plain,
% 2.70/2.81 ((~(X!1 = cell27)) | (~(Y!0 = cell37))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13933, 13570])).
% 2.70/2.81 tff(13935,plain,
% 2.70/2.81 (((~(X!1 = cell28)) | (~(Y!0 = cell38))) | (X!1 = cell28)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13936,plain,
% 2.70/2.81 ((~(X!1 = cell28)) | (~(Y!0 = cell38))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13935, 13576])).
% 2.70/2.81 tff(13937,plain,
% 2.70/2.81 (((~(X!1 = cell29)) | (~(Y!0 = cell39))) | (X!1 = cell29)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13938,plain,
% 2.70/2.81 ((~(X!1 = cell29)) | (~(Y!0 = cell39))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13937, 13582])).
% 2.70/2.81 tff(13939,plain,
% 2.70/2.81 ((cell30 = cell12) <=> (cell30 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13940,plain,
% 2.70/2.81 ((cell30 = cell12) <=> (X!1 = cell30)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13939, 6672])).
% 2.70/2.81 tff(13941,plain,
% 2.70/2.81 ((~(cell30 = cell12)) <=> (~(X!1 = cell30))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13940])).
% 2.70/2.81 tff(13942,plain,
% 2.70/2.81 (~(X!1 = cell30)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3592, 13941])).
% 2.70/2.81 tff(13943,plain,
% 2.70/2.81 (((~(X!1 = cell30)) | (~(Y!0 = cell40))) | (X!1 = cell30)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13944,plain,
% 2.70/2.81 ((~(X!1 = cell30)) | (~(Y!0 = cell40))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13943, 13942])).
% 2.70/2.81 tff(13945,plain,
% 2.70/2.81 (((~(X!1 = cell31)) | (~(Y!0 = cell41))) | (X!1 = cell31)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13946,plain,
% 2.70/2.81 ((~(X!1 = cell31)) | (~(Y!0 = cell41))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13945, 13588])).
% 2.70/2.81 tff(13947,plain,
% 2.70/2.81 (((~(X!1 = cell32)) | (~(Y!0 = cell42))) | (X!1 = cell32)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13948,plain,
% 2.70/2.81 ((~(X!1 = cell32)) | (~(Y!0 = cell42))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13947, 12868])).
% 2.70/2.81 tff(13949,plain,
% 2.70/2.81 (((~(X!1 = cell33)) | (~(Y!0 = cell43))) | (X!1 = cell33)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13950,plain,
% 2.70/2.81 ((~(X!1 = cell33)) | (~(Y!0 = cell43))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13949, 12873])).
% 2.70/2.81 tff(13951,plain,
% 2.70/2.81 (((~(X!1 = cell34)) | (~(Y!0 = cell44))) | (X!1 = cell34)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13952,plain,
% 2.70/2.81 ((~(X!1 = cell34)) | (~(Y!0 = cell44))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13951, 12878])).
% 2.70/2.81 tff(13953,plain,
% 2.70/2.81 (((~(X!1 = cell35)) | (~(Y!0 = cell45))) | (X!1 = cell35)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13954,plain,
% 2.70/2.81 ((~(X!1 = cell35)) | (~(Y!0 = cell45))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13953, 13600])).
% 2.70/2.81 tff(13955,plain,
% 2.70/2.81 (((~(X!1 = cell36)) | (~(Y!0 = cell46))) | (X!1 = cell36)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13956,plain,
% 2.70/2.81 ((~(X!1 = cell36)) | (~(Y!0 = cell46))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13955, 13606])).
% 2.70/2.81 tff(13957,plain,
% 2.70/2.81 (((~(X!1 = cell37)) | (~(Y!0 = cell47))) | (X!1 = cell37)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13958,plain,
% 2.70/2.81 ((~(X!1 = cell37)) | (~(Y!0 = cell47))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13957, 12883])).
% 2.70/2.81 tff(13959,plain,
% 2.70/2.81 (((~(X!1 = cell38)) | (~(Y!0 = cell48))) | (X!1 = cell38)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13960,plain,
% 2.70/2.81 ((~(X!1 = cell38)) | (~(Y!0 = cell48))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13959, 13614])).
% 2.70/2.81 tff(13961,plain,
% 2.70/2.81 (((~(X!1 = cell39)) | (~(Y!0 = cell49))) | (X!1 = cell39)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13962,plain,
% 2.70/2.81 ((~(X!1 = cell39)) | (~(Y!0 = cell49))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13961, 13620])).
% 2.70/2.81 tff(13963,plain,
% 2.70/2.81 (((~(X!1 = cell40)) | (~(Y!0 = cell50))) | (X!1 = cell40)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13964,plain,
% 2.70/2.81 ((~(X!1 = cell40)) | (~(Y!0 = cell50))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13963, 12888])).
% 2.70/2.81 tff(13965,plain,
% 2.70/2.81 (((~(X!1 = cell41)) | (~(Y!0 = cell51))) | (X!1 = cell41)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13966,plain,
% 2.70/2.81 ((~(X!1 = cell41)) | (~(Y!0 = cell51))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13965, 13626])).
% 2.70/2.81 tff(13967,plain,
% 2.70/2.81 (((~(X!1 = cell42)) | (~(Y!0 = cell52))) | (X!1 = cell42)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13968,plain,
% 2.70/2.81 ((~(X!1 = cell42)) | (~(Y!0 = cell52))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13967, 13632])).
% 2.70/2.81 tff(13969,plain,
% 2.70/2.81 (((~(X!1 = cell43)) | (~(Y!0 = cell53))) | (X!1 = cell43)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13970,plain,
% 2.70/2.81 ((~(X!1 = cell43)) | (~(Y!0 = cell53))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13969, 13638])).
% 2.70/2.81 tff(13971,plain,
% 2.70/2.81 (((~(X!1 = cell44)) | (~(Y!0 = cell54))) | (X!1 = cell44)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13972,plain,
% 2.70/2.81 ((~(X!1 = cell44)) | (~(Y!0 = cell54))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13971, 13644])).
% 2.70/2.81 tff(13973,plain,
% 2.70/2.81 (((~(X!1 = cell45)) | (~(Y!0 = cell55))) | (X!1 = cell45)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13974,plain,
% 2.70/2.81 ((~(X!1 = cell45)) | (~(Y!0 = cell55))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13973, 12893])).
% 2.70/2.81 tff(13975,plain,
% 2.70/2.81 (((~(X!1 = cell46)) | (~(Y!0 = cell56))) | (X!1 = cell46)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13976,plain,
% 2.70/2.81 ((~(X!1 = cell46)) | (~(Y!0 = cell56))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13975, 13652])).
% 2.70/2.81 tff(13977,plain,
% 2.70/2.81 (((~(X!1 = cell47)) | (~(Y!0 = cell57))) | (X!1 = cell47)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13978,plain,
% 2.70/2.81 ((~(X!1 = cell47)) | (~(Y!0 = cell57))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13977, 12898])).
% 2.70/2.81 tff(13979,plain,
% 2.70/2.81 (((~(X!1 = cell48)) | (~(Y!0 = cell58))) | (X!1 = cell48)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13980,plain,
% 2.70/2.81 ((~(X!1 = cell48)) | (~(Y!0 = cell58))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13979, 13660])).
% 2.70/2.81 tff(13981,plain,
% 2.70/2.81 (((~(X!1 = cell49)) | (~(Y!0 = cell59))) | (X!1 = cell49)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13982,plain,
% 2.70/2.81 ((~(X!1 = cell49)) | (~(Y!0 = cell59))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13981, 12903])).
% 2.70/2.81 tff(13983,plain,
% 2.70/2.81 ((cell50 = cell12) <=> (cell50 = X!1)),
% 2.70/2.81 inference(monotonicity,[status(thm)],[12846])).
% 2.70/2.81 tff(13984,plain,
% 2.70/2.81 ((cell50 = cell12) <=> (X!1 = cell50)),
% 2.70/2.81 inference(transitivity,[status(thm)],[13983, 6528])).
% 2.70/2.81 tff(13985,plain,
% 2.70/2.81 ((~(cell50 = cell12)) <=> (~(X!1 = cell50))),
% 2.70/2.81 inference(monotonicity,[status(thm)],[13984])).
% 2.70/2.81 tff(13986,plain,
% 2.70/2.81 (~(X!1 = cell50)),
% 2.70/2.81 inference(modus_ponens,[status(thm)],[3650, 13985])).
% 2.70/2.81 tff(13987,plain,
% 2.70/2.81 (((~(X!1 = cell50)) | (~(Y!0 = cell60))) | (X!1 = cell50)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13988,plain,
% 2.70/2.81 ((~(X!1 = cell50)) | (~(Y!0 = cell60))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13987, 13986])).
% 2.70/2.81 tff(13989,plain,
% 2.70/2.81 (((~(X!1 = cell51)) | (~(Y!0 = cell61))) | (X!1 = cell51)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13990,plain,
% 2.70/2.81 ((~(X!1 = cell51)) | (~(Y!0 = cell61))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13989, 13668])).
% 2.70/2.81 tff(13991,plain,
% 2.70/2.81 (((~(X!1 = cell52)) | (~(Y!0 = cell62))) | (X!1 = cell52)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13992,plain,
% 2.70/2.81 ((~(X!1 = cell52)) | (~(Y!0 = cell62))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13991, 13674])).
% 2.70/2.81 tff(13993,plain,
% 2.70/2.81 (((~(X!1 = cell53)) | (~(Y!0 = cell63))) | (X!1 = cell53)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13994,plain,
% 2.70/2.81 ((~(X!1 = cell53)) | (~(Y!0 = cell63))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13993, 13680])).
% 2.70/2.81 tff(13995,plain,
% 2.70/2.81 (((~(X!1 = cell54)) | (~(Y!0 = cell64))) | (X!1 = cell54)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13996,plain,
% 2.70/2.81 ((~(X!1 = cell54)) | (~(Y!0 = cell64))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13995, 13686])).
% 2.70/2.81 tff(13997,plain,
% 2.70/2.81 (((~(X!1 = cell55)) | (~(Y!0 = cell65))) | (X!1 = cell55)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(13998,plain,
% 2.70/2.81 ((~(X!1 = cell55)) | (~(Y!0 = cell65))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13997, 12908])).
% 2.70/2.81 tff(13999,plain,
% 2.70/2.81 (((~(X!1 = cell56)) | (~(Y!0 = cell66))) | (X!1 = cell56)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(14000,plain,
% 2.70/2.81 ((~(X!1 = cell56)) | (~(Y!0 = cell66))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[13999, 13694])).
% 2.70/2.81 tff(14001,plain,
% 2.70/2.81 (((~(X!1 = cell57)) | (~(Y!0 = cell67))) | (X!1 = cell57)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(14002,plain,
% 2.70/2.81 ((~(X!1 = cell57)) | (~(Y!0 = cell67))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[14001, 13700])).
% 2.70/2.81 tff(14003,plain,
% 2.70/2.81 (((~(X!1 = cell58)) | (~(Y!0 = cell68))) | (X!1 = cell58)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(14004,plain,
% 2.70/2.81 ((~(X!1 = cell58)) | (~(Y!0 = cell68))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[14003, 12913])).
% 2.70/2.81 tff(14005,plain,
% 2.70/2.81 (((~(X!1 = cell59)) | (~(Y!0 = cell69))) | (X!1 = cell59)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(14006,plain,
% 2.70/2.81 ((~(X!1 = cell59)) | (~(Y!0 = cell69))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[14005, 12918])).
% 2.70/2.81 tff(14007,plain,
% 2.70/2.81 (((~(X!1 = cell60)) | (~(Y!0 = cell70))) | (X!1 = cell60)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(14008,plain,
% 2.70/2.81 ((~(X!1 = cell60)) | (~(Y!0 = cell70))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[14007, 12923])).
% 2.70/2.81 tff(14009,plain,
% 2.70/2.81 (((~(X!1 = cell61)) | (~(Y!0 = cell71))) | (X!1 = cell61)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(14010,plain,
% 2.70/2.81 ((~(X!1 = cell61)) | (~(Y!0 = cell71))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[14009, 12977])).
% 2.70/2.81 tff(14011,plain,
% 2.70/2.81 (((~(X!1 = cell62)) | (~(Y!0 = cell72))) | (X!1 = cell62)),
% 2.70/2.81 inference(tautology,[status(thm)],[])).
% 2.70/2.81 tff(14012,plain,
% 2.70/2.81 ((~(X!1 = cell62)) | (~(Y!0 = cell72))),
% 2.70/2.81 inference(unit_resolution,[status(thm)],[14011, 13712])).
% 2.70/2.81 tff(14013,plain,
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% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14412,plain,
% 2.93/3.00 ((cell70 = cell2) <=> (X!1 = cell70)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14411, 6388])).
% 2.93/3.00 tff(14413,plain,
% 2.93/3.00 ((~(cell70 = cell2)) <=> (~(X!1 = cell70))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14412])).
% 2.93/3.00 tff(14414,plain,
% 2.93/3.00 (~(X!1 = cell70)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7783, 14413])).
% 2.93/3.00 tff(14415,plain,
% 2.93/3.00 ((~(X!1 = cell70)) | (~(Y!0 = cell69))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9826, 14414])).
% 2.93/3.00 tff(14416,plain,
% 2.93/3.00 ((cell72 = cell2) <=> (cell72 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14417,plain,
% 2.93/3.00 ((cell72 = cell2) <=> (X!1 = cell72)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14416, 6380])).
% 2.93/3.00 tff(14418,plain,
% 2.93/3.00 ((~(cell72 = cell2)) <=> (~(X!1 = cell72))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14417])).
% 2.93/3.00 tff(14419,plain,
% 2.93/3.00 (~(X!1 = cell72)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7791, 14418])).
% 2.93/3.00 tff(14420,plain,
% 2.93/3.00 ((~(X!1 = cell72)) | (~(Y!0 = cell71))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9835, 14419])).
% 2.93/3.00 tff(14421,plain,
% 2.93/3.00 ((cell73 = cell2) <=> (cell73 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14422,plain,
% 2.93/3.00 ((cell73 = cell2) <=> (X!1 = cell73)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14421, 6372])).
% 2.93/3.00 tff(14423,plain,
% 2.93/3.00 ((~(cell73 = cell2)) <=> (~(X!1 = cell73))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14422])).
% 2.93/3.00 tff(14424,plain,
% 2.93/3.00 (~(X!1 = cell73)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7799, 14423])).
% 2.93/3.00 tff(14425,plain,
% 2.93/3.00 ((~(X!1 = cell73)) | (~(Y!0 = cell72))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9844, 14424])).
% 2.93/3.00 tff(14426,plain,
% 2.93/3.00 ((cell74 = cell2) <=> (cell74 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14427,plain,
% 2.93/3.00 ((cell74 = cell2) <=> (X!1 = cell74)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14426, 6364])).
% 2.93/3.00 tff(14428,plain,
% 2.93/3.00 ((~(cell74 = cell2)) <=> (~(X!1 = cell74))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14427])).
% 2.93/3.00 tff(14429,plain,
% 2.93/3.00 (~(X!1 = cell74)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7807, 14428])).
% 2.93/3.00 tff(14430,plain,
% 2.93/3.00 ((~(X!1 = cell74)) | (~(Y!0 = cell73))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9853, 14429])).
% 2.93/3.00 tff(14431,plain,
% 2.93/3.00 ((cell75 = cell2) <=> (cell75 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14432,plain,
% 2.93/3.00 ((cell75 = cell2) <=> (X!1 = cell75)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14431, 6356])).
% 2.93/3.00 tff(14433,plain,
% 2.93/3.00 ((~(cell75 = cell2)) <=> (~(X!1 = cell75))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14432])).
% 2.93/3.00 tff(14434,plain,
% 2.93/3.00 (~(X!1 = cell75)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7815, 14433])).
% 2.93/3.00 tff(14435,plain,
% 2.93/3.00 ((~(X!1 = cell75)) | (~(Y!0 = cell74))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9862, 14434])).
% 2.93/3.00 tff(14436,plain,
% 2.93/3.00 ((cell76 = cell2) <=> (cell76 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14437,plain,
% 2.93/3.00 ((cell76 = cell2) <=> (X!1 = cell76)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14436, 6348])).
% 2.93/3.00 tff(14438,plain,
% 2.93/3.00 ((~(cell76 = cell2)) <=> (~(X!1 = cell76))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14437])).
% 2.93/3.00 tff(14439,plain,
% 2.93/3.00 (~(X!1 = cell76)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7823, 14438])).
% 2.93/3.00 tff(14440,plain,
% 2.93/3.00 ((~(X!1 = cell76)) | (~(Y!0 = cell75))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9871, 14439])).
% 2.93/3.00 tff(14441,plain,
% 2.93/3.00 ((cell77 = cell2) <=> (cell77 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14442,plain,
% 2.93/3.00 ((cell77 = cell2) <=> (X!1 = cell77)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14441, 6340])).
% 2.93/3.00 tff(14443,plain,
% 2.93/3.00 ((~(cell77 = cell2)) <=> (~(X!1 = cell77))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14442])).
% 2.93/3.00 tff(14444,plain,
% 2.93/3.00 (~(X!1 = cell77)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7831, 14443])).
% 2.93/3.00 tff(14445,plain,
% 2.93/3.00 ((~(X!1 = cell77)) | (~(Y!0 = cell76))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9880, 14444])).
% 2.93/3.00 tff(14446,plain,
% 2.93/3.00 ((cell78 = cell2) <=> (cell78 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14447,plain,
% 2.93/3.00 ((cell78 = cell2) <=> (X!1 = cell78)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14446, 43])).
% 2.93/3.00 tff(14448,plain,
% 2.93/3.00 ((~(cell78 = cell2)) <=> (~(X!1 = cell78))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14447])).
% 2.93/3.00 tff(14449,plain,
% 2.93/3.00 (~(X!1 = cell78)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[5656, 14448])).
% 2.93/3.00 tff(14450,plain,
% 2.93/3.00 ((~(X!1 = cell78)) | (~(Y!0 = cell77))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[8872, 14449])).
% 2.93/3.00 tff(14451,plain,
% 2.93/3.00 (~patient(cell79)),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[4112, 14101])).
% 2.93/3.00 tff(14452,plain,
% 2.93/3.00 (~(X!1 = cell79)),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[4102, 14451])).
% 2.93/3.00 tff(14453,plain,
% 2.93/3.00 ((~(X!1 = cell79)) | (~(Y!0 = cell78))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9882, 14452])).
% 2.93/3.00 tff(14454,assumption,(Y!0 = cell12), introduced(assumption)).
% 2.93/3.00 tff(14455,plain,
% 2.93/3.00 ((Y!0 = cell88) <=> (cell12 = cell88)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14454])).
% 2.93/3.00 tff(14456,plain,
% 2.93/3.00 ((Y!0 = cell88) <=> (cell88 = cell12)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14455, 3736])).
% 2.93/3.00 tff(14457,plain,
% 2.93/3.00 ((cell88 = cell12) <=> (Y!0 = cell88)),
% 2.93/3.00 inference(symmetry,[status(thm)],[14456])).
% 2.93/3.00 tff(14458,plain,
% 2.93/3.00 ((~(cell88 = cell12)) <=> (~(Y!0 = cell88))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14457])).
% 2.93/3.00 tff(14459,plain,
% 2.93/3.00 (~(Y!0 = cell88)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[3743, 14458])).
% 2.93/3.00 tff(14460,plain,
% 2.93/3.00 (~oxygen(cell88)),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[4138, 14459])).
% 2.93/3.00 tff(14461,plain,
% 2.93/3.00 ((Y!0 = cell90) <=> (cell12 = cell90)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14454])).
% 2.93/3.00 tff(14462,plain,
% 2.93/3.00 ((Y!0 = cell90) <=> (cell90 = cell12)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14461, 2605])).
% 2.93/3.00 tff(14463,plain,
% 2.93/3.00 ((cell90 = cell12) <=> (Y!0 = cell90)),
% 2.93/3.00 inference(symmetry,[status(thm)],[14462])).
% 2.93/3.00 tff(14464,plain,
% 2.93/3.00 ((~(cell90 = cell12)) <=> (~(Y!0 = cell90))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14463])).
% 2.93/3.00 tff(14465,plain,
% 2.93/3.00 (~(Y!0 = cell90)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[2612, 14464])).
% 2.93/3.00 tff(14466,plain,
% 2.93/3.00 (~oxygen(cell90)),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[14120, 14465])).
% 2.93/3.00 tff(14467,plain,
% 2.93/3.00 ($false),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[14122, 14466, 14460])).
% 2.93/3.00 tff(14468,plain,(~(Y!0 = cell12)), inference(lemma,lemma(discharge,[]))).
% 2.93/3.00 tff(14469,plain,
% 2.93/3.00 ((~(X!1 = cell22)) | (~(Y!0 = cell12))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[8889, 14468])).
% 2.93/3.00 tff(14470,plain,
% 2.93/3.00 ((cell82 = cell2) <=> (cell82 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14471,plain,
% 2.93/3.00 ((cell82 = cell2) <=> (X!1 = cell82)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14470, 6306])).
% 2.93/3.00 tff(14472,plain,
% 2.93/3.00 ((~(cell82 = cell2)) <=> (~(X!1 = cell82))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14471])).
% 2.93/3.00 tff(14473,plain,
% 2.93/3.00 (~(X!1 = cell82)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7850, 14472])).
% 2.93/3.00 tff(14474,plain,
% 2.93/3.00 ((~(X!1 = cell82)) | (~(Y!0 = cell81))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9897, 14473])).
% 2.93/3.00 tff(14475,plain,
% 2.93/3.00 ((cell83 = cell2) <=> (cell83 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14476,plain,
% 2.93/3.00 ((cell83 = cell2) <=> (X!1 = cell83)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14475, 6298])).
% 2.93/3.00 tff(14477,plain,
% 2.93/3.00 ((~(cell83 = cell2)) <=> (~(X!1 = cell83))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14476])).
% 2.93/3.00 tff(14478,plain,
% 2.93/3.00 (~(X!1 = cell83)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7858, 14477])).
% 2.93/3.00 tff(14479,plain,
% 2.93/3.00 ((~(X!1 = cell83)) | (~(Y!0 = cell82))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9906, 14478])).
% 2.93/3.00 tff(14480,plain,
% 2.93/3.00 ((cell84 = cell2) <=> (cell84 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14481,plain,
% 2.93/3.00 ((cell84 = cell2) <=> (X!1 = cell84)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14480, 6290])).
% 2.93/3.00 tff(14482,plain,
% 2.93/3.00 ((~(cell84 = cell2)) <=> (~(X!1 = cell84))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14481])).
% 2.93/3.00 tff(14483,plain,
% 2.93/3.00 (~(X!1 = cell84)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7866, 14482])).
% 2.93/3.00 tff(14484,plain,
% 2.93/3.00 ((~(X!1 = cell84)) | (~(Y!0 = cell83))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9915, 14483])).
% 2.93/3.00 tff(14485,plain,
% 2.93/3.00 ((cell85 = cell2) <=> (cell85 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14486,plain,
% 2.93/3.00 ((cell85 = cell2) <=> (X!1 = cell85)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14485, 6282])).
% 2.93/3.00 tff(14487,plain,
% 2.93/3.00 ((~(cell85 = cell2)) <=> (~(X!1 = cell85))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14486])).
% 2.93/3.00 tff(14488,plain,
% 2.93/3.00 (~(X!1 = cell85)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7874, 14487])).
% 2.93/3.00 tff(14489,plain,
% 2.93/3.00 ((~(X!1 = cell85)) | (~(Y!0 = cell84))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9924, 14488])).
% 2.93/3.00 tff(14490,plain,
% 2.93/3.00 ((cell86 = cell2) <=> (cell86 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14491,plain,
% 2.93/3.00 ((cell86 = cell2) <=> (X!1 = cell86)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14490, 6274])).
% 2.93/3.00 tff(14492,plain,
% 2.93/3.00 ((~(cell86 = cell2)) <=> (~(X!1 = cell86))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14491])).
% 2.93/3.00 tff(14493,plain,
% 2.93/3.00 (~(X!1 = cell86)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7882, 14492])).
% 2.93/3.00 tff(14494,plain,
% 2.93/3.00 ((~(X!1 = cell86)) | (~(Y!0 = cell85))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9933, 14493])).
% 2.93/3.00 tff(14495,plain,
% 2.93/3.00 ((~(X!1 = cell87)) | (~(Y!0 = cell86))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9942, 14199])).
% 2.93/3.00 tff(14496,plain,
% 2.93/3.00 (~patient(cell88)),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[3810, 14101])).
% 2.93/3.00 tff(14497,plain,
% 2.93/3.00 (~(X!1 = cell88)),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[3846, 14496])).
% 2.93/3.00 tff(14498,plain,
% 2.93/3.00 ((~(X!1 = cell88)) | (~(Y!0 = cell87))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9300, 14497])).
% 2.93/3.00 tff(14499,plain,
% 2.93/3.00 ((cell89 = cell2) <=> (cell89 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14500,plain,
% 2.93/3.00 ((cell89 = cell2) <=> (X!1 = cell89)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14499, 5569])).
% 2.93/3.00 tff(14501,plain,
% 2.93/3.00 ((~(cell89 = cell2)) <=> (~(X!1 = cell89))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14500])).
% 2.93/3.00 tff(14502,plain,
% 2.93/3.00 (~(X!1 = cell89)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[2632, 14501])).
% 2.93/3.00 tff(14503,plain,
% 2.93/3.00 ((~(X!1 = cell89)) | (~(Y!0 = cell88))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9305, 14502])).
% 2.93/3.00 tff(14504,plain,
% 2.93/3.00 ((cell92 = cell2) <=> (cell92 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14505,plain,
% 2.93/3.00 ((cell92 = cell2) <=> (X!1 = cell92)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14504, 3866])).
% 2.93/3.00 tff(14506,plain,
% 2.93/3.00 ((~(cell92 = cell2)) <=> (~(X!1 = cell92))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14505])).
% 2.93/3.00 tff(14507,plain,
% 2.93/3.00 (~(X!1 = cell92)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7901, 14506])).
% 2.93/3.00 tff(14508,plain,
% 2.93/3.00 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9946, 14507])).
% 2.93/3.00 tff(14509,plain,
% 2.93/3.00 ((cell93 = cell2) <=> (cell93 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14510,plain,
% 2.93/3.00 ((cell93 = cell2) <=> (X!1 = cell93)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14509, 3875])).
% 2.93/3.00 tff(14511,plain,
% 2.93/3.00 ((~(cell93 = cell2)) <=> (~(X!1 = cell93))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14510])).
% 2.93/3.00 tff(14512,plain,
% 2.93/3.00 (~(X!1 = cell93)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7909, 14511])).
% 2.93/3.00 tff(14513,plain,
% 2.93/3.00 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9948, 14512])).
% 2.93/3.00 tff(14514,plain,
% 2.93/3.00 ((cell94 = cell2) <=> (cell94 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14515,plain,
% 2.93/3.00 ((cell94 = cell2) <=> (X!1 = cell94)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14514, 3884])).
% 2.93/3.00 tff(14516,plain,
% 2.93/3.00 ((~(cell94 = cell2)) <=> (~(X!1 = cell94))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14515])).
% 2.93/3.00 tff(14517,plain,
% 2.93/3.00 (~(X!1 = cell94)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7917, 14516])).
% 2.93/3.00 tff(14518,plain,
% 2.93/3.00 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9950, 14517])).
% 2.93/3.00 tff(14519,plain,
% 2.93/3.00 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9952, 14106])).
% 2.93/3.00 tff(14520,plain,
% 2.93/3.00 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9954, 14159])).
% 2.93/3.00 tff(14521,plain,
% 2.93/3.00 ((cell97 = cell2) <=> (cell97 = X!1)),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14102])).
% 2.93/3.00 tff(14522,plain,
% 2.93/3.00 ((cell97 = cell2) <=> (X!1 = cell97)),
% 2.93/3.00 inference(transitivity,[status(thm)],[14521, 3910])).
% 2.93/3.00 tff(14523,plain,
% 2.93/3.00 ((~(cell97 = cell2)) <=> (~(X!1 = cell97))),
% 2.93/3.00 inference(monotonicity,[status(thm)],[14522])).
% 2.93/3.00 tff(14524,plain,
% 2.93/3.00 (~(X!1 = cell97)),
% 2.93/3.00 inference(modus_ponens,[status(thm)],[7941, 14523])).
% 2.93/3.00 tff(14525,plain,
% 2.93/3.00 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 2.93/3.00 inference(unit_resolution,[status(thm)],[9956, 14524])).
% 2.93/3.00 tff(14526,plain,
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% 2.97/3.01 inference(modus_ponens,[status(thm)],[14684, 14681])).
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% 2.97/3.01 ((~(X!1 = cell3)) | (~(Y!0 = cell4))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13457, 14685])).
% 2.97/3.01 tff(14687,plain,
% 2.97/3.01 ((cell4 = cell2) <=> (cell4 = X!1)),
% 2.97/3.01 inference(monotonicity,[status(thm)],[14102])).
% 2.97/3.01 tff(14688,plain,
% 2.97/3.01 ((cell4 = cell2) <=> (X!1 = cell4)),
% 2.97/3.01 inference(transitivity,[status(thm)],[14687, 6824])).
% 2.97/3.01 tff(14689,plain,
% 2.97/3.01 ((~(cell4 = cell2)) <=> (~(X!1 = cell4))),
% 2.97/3.01 inference(monotonicity,[status(thm)],[14688])).
% 2.97/3.01 tff(14690,plain,
% 2.97/3.01 (~(X!1 = cell4)),
% 2.97/3.01 inference(modus_ponens,[status(thm)],[7337, 14689])).
% 2.97/3.01 tff(14691,plain,
% 2.97/3.01 ((~(X!1 = cell4)) | (~(Y!0 = cell5))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13463, 14690])).
% 2.97/3.01 tff(14692,plain,
% 2.97/3.01 ((~(X!1 = cell5)) | (~(Y!0 = cell6))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13465, 14129])).
% 2.97/3.01 tff(14693,plain,
% 2.97/3.01 ((~(X!1 = cell6)) | (~(Y!0 = cell7))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13471, 14134])).
% 2.97/3.01 tff(14694,plain,
% 2.97/3.01 ((~(X!1 = cell7)) | (~(Y!0 = cell8))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13477, 14139])).
% 2.97/3.01 tff(14695,plain,
% 2.97/3.01 ((~(X!1 = cell8)) | (~(Y!0 = cell9))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13483, 14144])).
% 2.97/3.01 tff(14696,plain,
% 2.97/3.01 ((~(X!1 = cell9)) | (~(Y!0 = cell10))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13485, 14149])).
% 2.97/3.01 tff(14697,plain,
% 2.97/3.01 (((~(X!1 = cell11)) | (~(Y!0 = cell12))) | (Y!0 = cell12)),
% 2.97/3.01 inference(tautology,[status(thm)],[])).
% 2.97/3.01 tff(14698,plain,
% 2.97/3.01 ((~(X!1 = cell11)) | (~(Y!0 = cell12))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[14697, 14468])).
% 2.97/3.01 tff(14699,plain,
% 2.97/3.01 ((~(X!1 = cell90)) | (~(Y!0 = cell100))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13496, 14665])).
% 2.97/3.01 tff(14700,plain,
% 2.97/3.01 ((~(X!1 = cell14)) | (~(Y!0 = cell15))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13504, 14545])).
% 2.97/3.01 tff(14701,plain,
% 2.97/3.01 ((~(X!1 = cell15)) | (~(Y!0 = cell16))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13510, 14169])).
% 2.97/3.01 tff(14702,plain,
% 2.97/3.01 ((~(X!1 = cell16)) | (~(Y!0 = cell17))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13512, 14174])).
% 2.97/3.01 tff(14703,plain,
% 2.97/3.01 ((~(X!1 = cell17)) | (~(Y!0 = cell18))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13518, 14179])).
% 2.97/3.01 tff(14704,plain,
% 2.97/3.01 ((~(X!1 = cell18)) | (~(Y!0 = cell19))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13524, 14184])).
% 2.97/3.01 tff(14705,plain,
% 2.97/3.01 ((~(X!1 = cell19)) | (~(Y!0 = cell20))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13530, 14189])).
% 2.97/3.01 tff(14706,plain,
% 2.97/3.01 ((~(X!1 = cell22)) | (~(Y!0 = cell23))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13540, 14662])).
% 2.97/3.01 tff(14707,plain,
% 2.97/3.01 ((cell23 = cell2) <=> (cell23 = X!1)),
% 2.97/3.01 inference(monotonicity,[status(thm)],[14102])).
% 2.97/3.01 tff(14708,plain,
% 2.97/3.01 ((cell23 = cell2) <=> (X!1 = cell23)),
% 2.97/3.01 inference(transitivity,[status(thm)],[14707, 13542])).
% 2.97/3.01 tff(14709,plain,
% 2.97/3.01 ((~(cell23 = cell2)) <=> (~(X!1 = cell23))),
% 2.97/3.01 inference(monotonicity,[status(thm)],[14708])).
% 2.97/3.01 tff(14710,plain,
% 2.97/3.01 ((~(cell23 = cell2)) <=> (~(cell23 = cell2))),
% 2.97/3.01 inference(rewrite,[status(thm)],[])).
% 2.97/3.01 tff(14711,axiom,(~(cell23 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49577')).
% 2.97/3.01 tff(14712,plain,
% 2.97/3.01 (~(cell23 = cell2)),
% 2.97/3.01 inference(modus_ponens,[status(thm)],[14711, 14710])).
% 2.97/3.01 tff(14713,plain,
% 2.97/3.01 (~(X!1 = cell23)),
% 2.97/3.01 inference(modus_ponens,[status(thm)],[14712, 14709])).
% 2.97/3.01 tff(14714,plain,
% 2.97/3.01 ((~(X!1 = cell23)) | (~(Y!0 = cell24))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13547, 14713])).
% 2.97/3.01 tff(14715,plain,
% 2.97/3.01 ((~(X!1 = cell24)) | (~(Y!0 = cell25))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13553, 14204])).
% 2.97/3.01 tff(14716,plain,
% 2.97/3.01 ((~(X!1 = cell25)) | (~(Y!0 = cell26))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13559, 14209])).
% 2.97/3.01 tff(14717,plain,
% 2.97/3.01 ((~(X!1 = cell26)) | (~(Y!0 = cell27))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13565, 14214])).
% 2.97/3.01 tff(14718,plain,
% 2.97/3.01 ((~(X!1 = cell27)) | (~(Y!0 = cell28))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13571, 14219])).
% 2.97/3.01 tff(14719,plain,
% 2.97/3.01 ((~(X!1 = cell28)) | (~(Y!0 = cell29))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13577, 14224])).
% 2.97/3.01 tff(14720,plain,
% 2.97/3.01 ((~(X!1 = cell29)) | (~(Y!0 = cell30))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13583, 14229])).
% 2.97/3.01 tff(14721,plain,
% 2.97/3.01 ((~(X!1 = cell31)) | (~(Y!0 = cell32))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13589, 14576])).
% 2.97/3.01 tff(14722,plain,
% 2.97/3.01 ((~(X!1 = cell32)) | (~(Y!0 = cell33))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13591, 14239])).
% 2.97/3.01 tff(14723,plain,
% 2.97/3.01 ((~(X!1 = cell33)) | (~(Y!0 = cell34))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13593, 14244])).
% 2.97/3.01 tff(14724,plain,
% 2.97/3.01 ((~(X!1 = cell34)) | (~(Y!0 = cell35))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13595, 14249])).
% 2.97/3.01 tff(14725,plain,
% 2.97/3.01 ((~(X!1 = cell35)) | (~(Y!0 = cell36))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13601, 14254])).
% 2.97/3.01 tff(14726,plain,
% 2.97/3.01 ((~(X!1 = cell36)) | (~(Y!0 = cell37))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13607, 14259])).
% 2.97/3.01 tff(14727,plain,
% 2.97/3.01 ((~(X!1 = cell37)) | (~(Y!0 = cell38))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13609, 14264])).
% 2.97/3.01 tff(14728,plain,
% 2.97/3.01 ((~(X!1 = cell38)) | (~(Y!0 = cell39))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13615, 14269])).
% 2.97/3.01 tff(14729,plain,
% 2.97/3.01 ((~(X!1 = cell39)) | (~(Y!0 = cell40))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13621, 14274])).
% 2.97/3.01 tff(14730,plain,
% 2.97/3.01 ((~(X!1 = cell41)) | (~(Y!0 = cell42))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13627, 14589])).
% 2.97/3.01 tff(14731,plain,
% 2.97/3.01 ((~(X!1 = cell42)) | (~(Y!0 = cell43))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13633, 14284])).
% 2.97/3.01 tff(14732,plain,
% 2.97/3.01 ((~(X!1 = cell43)) | (~(Y!0 = cell44))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13639, 14289])).
% 2.97/3.01 tff(14733,plain,
% 2.97/3.01 ((~(X!1 = cell44)) | (~(Y!0 = cell45))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13645, 14294])).
% 2.97/3.01 tff(14734,plain,
% 2.97/3.01 ((~(X!1 = cell45)) | (~(Y!0 = cell46))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13647, 14299])).
% 2.97/3.01 tff(14735,plain,
% 2.97/3.01 ((~(X!1 = cell46)) | (~(Y!0 = cell47))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13653, 14304])).
% 2.97/3.01 tff(14736,plain,
% 2.97/3.01 ((~(X!1 = cell47)) | (~(Y!0 = cell48))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13655, 14309])).
% 2.97/3.01 tff(14737,plain,
% 2.97/3.01 ((~(X!1 = cell48)) | (~(Y!0 = cell49))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13661, 14314])).
% 2.97/3.01 tff(14738,plain,
% 2.97/3.01 ((~(X!1 = cell49)) | (~(Y!0 = cell50))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13663, 14319])).
% 2.97/3.01 tff(14739,plain,
% 2.97/3.01 ((~(X!1 = cell51)) | (~(Y!0 = cell52))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13669, 14603])).
% 2.97/3.01 tff(14740,plain,
% 2.97/3.01 ((~(X!1 = cell52)) | (~(Y!0 = cell53))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13675, 14329])).
% 2.97/3.01 tff(14741,plain,
% 2.97/3.01 ((~(X!1 = cell53)) | (~(Y!0 = cell54))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13681, 14334])).
% 2.97/3.01 tff(14742,plain,
% 2.97/3.01 ((~(X!1 = cell54)) | (~(Y!0 = cell55))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13687, 14339])).
% 2.97/3.01 tff(14743,plain,
% 2.97/3.01 ((~(X!1 = cell55)) | (~(Y!0 = cell56))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13689, 14344])).
% 2.97/3.01 tff(14744,plain,
% 2.97/3.01 ((~(X!1 = cell56)) | (~(Y!0 = cell57))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13695, 14349])).
% 2.97/3.01 tff(14745,plain,
% 2.97/3.01 ((~(X!1 = cell57)) | (~(Y!0 = cell58))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13701, 14354])).
% 2.97/3.01 tff(14746,plain,
% 2.97/3.01 ((~(X!1 = cell58)) | (~(Y!0 = cell59))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13703, 14359])).
% 2.97/3.01 tff(14747,plain,
% 2.97/3.01 ((~(X!1 = cell59)) | (~(Y!0 = cell60))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13705, 14364])).
% 2.97/3.01 tff(14748,plain,
% 2.97/3.01 ((~(X!1 = cell61)) | (~(Y!0 = cell62))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13707, 14617])).
% 2.97/3.01 tff(14749,plain,
% 2.97/3.01 ((~(X!1 = cell62)) | (~(Y!0 = cell63))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13713, 14374])).
% 2.97/3.01 tff(14750,plain,
% 2.97/3.01 ((~(X!1 = cell63)) | (~(Y!0 = cell64))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13719, 14379])).
% 2.97/3.01 tff(14751,plain,
% 2.97/3.01 ((~(X!1 = cell64)) | (~(Y!0 = cell65))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13725, 14384])).
% 2.97/3.01 tff(14752,plain,
% 2.97/3.01 ((~(X!1 = cell65)) | (~(Y!0 = cell66))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13731, 14389])).
% 2.97/3.01 tff(14753,plain,
% 2.97/3.01 ((~(X!1 = cell66)) | (~(Y!0 = cell67))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13737, 14394])).
% 2.97/3.01 tff(14754,plain,
% 2.97/3.01 ((~(X!1 = cell67)) | (~(Y!0 = cell68))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13743, 14399])).
% 2.97/3.01 tff(14755,plain,
% 2.97/3.01 ((~(X!1 = cell68)) | (~(Y!0 = cell69))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13745, 14404])).
% 2.97/3.01 tff(14756,plain,
% 2.97/3.01 ((~(X!1 = cell69)) | (~(Y!0 = cell70))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13747, 14409])).
% 2.97/3.01 tff(14757,plain,
% 2.97/3.01 ((~(X!1 = cell71)) | (~(Y!0 = cell72))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13753, 14631])).
% 2.97/3.01 tff(14758,plain,
% 2.97/3.01 ((~(X!1 = cell72)) | (~(Y!0 = cell73))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13759, 14419])).
% 2.97/3.01 tff(14759,plain,
% 2.97/3.01 ((~(X!1 = cell73)) | (~(Y!0 = cell74))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13761, 14424])).
% 2.97/3.01 tff(14760,plain,
% 2.97/3.01 ((~(X!1 = cell74)) | (~(Y!0 = cell75))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13763, 14429])).
% 2.97/3.01 tff(14761,plain,
% 2.97/3.01 ((~(X!1 = cell75)) | (~(Y!0 = cell76))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13769, 14434])).
% 2.97/3.01 tff(14762,plain,
% 2.97/3.01 ((~(X!1 = cell76)) | (~(Y!0 = cell77))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13771, 14439])).
% 2.97/3.01 tff(14763,plain,
% 2.97/3.01 ((~(X!1 = cell77)) | (~(Y!0 = cell78))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13777, 14444])).
% 2.97/3.01 tff(14764,plain,
% 2.97/3.01 ((~(X!1 = cell79)) | (~(Y!0 = cell80))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13779, 14452])).
% 2.97/3.01 tff(14765,plain,
% 2.97/3.01 ((~(X!1 = cell81)) | (~(Y!0 = cell82))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13785, 14649])).
% 2.97/3.01 tff(14766,plain,
% 2.97/3.01 ((~(X!1 = cell82)) | (~(Y!0 = cell83))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13791, 14473])).
% 2.97/3.01 tff(14767,plain,
% 2.97/3.01 ((~(X!1 = cell83)) | (~(Y!0 = cell84))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13793, 14478])).
% 2.97/3.01 tff(14768,plain,
% 2.97/3.01 ((~(X!1 = cell84)) | (~(Y!0 = cell85))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13799, 14483])).
% 2.97/3.01 tff(14769,plain,
% 2.97/3.01 ((~(X!1 = cell85)) | (~(Y!0 = cell86))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13805, 14488])).
% 2.97/3.01 tff(14770,plain,
% 2.97/3.01 ((~(X!1 = cell86)) | (~(Y!0 = cell87))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13807, 14493])).
% 2.97/3.01 tff(14771,plain,
% 2.97/3.01 ((~(X!1 = cell22)) | (~(Y!0 = cell32))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13809, 14662])).
% 2.97/3.01 tff(14772,plain,
% 2.97/3.01 ((~(X!1 = cell89)) | (~(Y!0 = cell90))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13811, 14502])).
% 2.97/3.01 tff(14773,plain,
% 2.97/3.01 ((~(X!1 = cell91)) | (~(Y!0 = cell92))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13813, 14564])).
% 2.97/3.01 tff(14774,plain,
% 2.97/3.01 ((~(X!1 = cell92)) | (~(Y!0 = cell93))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13819, 14507])).
% 2.97/3.01 tff(14775,plain,
% 2.97/3.01 ((~(X!1 = cell93)) | (~(Y!0 = cell94))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13825, 14512])).
% 2.97/3.01 tff(14776,plain,
% 2.97/3.01 ((~(X!1 = cell94)) | (~(Y!0 = cell95))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13831, 14517])).
% 2.97/3.01 tff(14777,plain,
% 2.97/3.01 ((~(X!1 = cell95)) | (~(Y!0 = cell96))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13837, 14106])).
% 2.97/3.01 tff(14778,plain,
% 2.97/3.01 ((~(X!1 = cell96)) | (~(Y!0 = cell97))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13843, 14159])).
% 2.97/3.01 tff(14779,plain,
% 2.97/3.01 ((~(X!1 = cell97)) | (~(Y!0 = cell98))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13849, 14524])).
% 2.97/3.01 tff(14780,plain,
% 2.97/3.01 ((~(X!1 = cell88)) | (~(Y!0 = cell98))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13855, 14497])).
% 2.97/3.01 tff(14781,plain,
% 2.97/3.01 ((~(X!1 = cell99)) | (~(Y!0 = cell100))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13861, 14534])).
% 2.97/3.01 tff(14782,plain,
% 2.97/3.01 ((cell1 = cell2) <=> (cell1 = X!1)),
% 2.97/3.01 inference(monotonicity,[status(thm)],[14102])).
% 2.97/3.01 tff(14783,plain,
% 2.97/3.01 ((cell1 = cell2) <=> (X!1 = cell1)),
% 2.97/3.01 inference(transitivity,[status(thm)],[14782, 13863])).
% 2.97/3.01 tff(14784,plain,
% 2.97/3.01 ((~(cell1 = cell2)) <=> (~(X!1 = cell1))),
% 2.97/3.01 inference(monotonicity,[status(thm)],[14783])).
% 2.97/3.01 tff(14785,plain,
% 2.97/3.01 ((~(cell1 = cell2)) <=> (~(cell1 = cell2))),
% 2.97/3.01 inference(rewrite,[status(thm)],[])).
% 2.97/3.01 tff(14786,axiom,(~(cell1 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49883')).
% 2.97/3.01 tff(14787,plain,
% 2.97/3.01 (~(cell1 = cell2)),
% 2.97/3.01 inference(modus_ponens,[status(thm)],[14786, 14785])).
% 2.97/3.01 tff(14788,plain,
% 2.97/3.01 (~(X!1 = cell1)),
% 2.97/3.01 inference(modus_ponens,[status(thm)],[14787, 14784])).
% 2.97/3.01 tff(14789,plain,
% 2.97/3.01 ((~(X!1 = cell1)) | (~(Y!0 = cell11))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13871, 14788])).
% 2.97/3.01 tff(14790,plain,
% 2.97/3.01 (((~(X!1 = cell2)) | (~(Y!0 = cell12))) | (Y!0 = cell12)),
% 2.97/3.01 inference(tautology,[status(thm)],[])).
% 2.97/3.01 tff(14791,plain,
% 2.97/3.01 ((~(X!1 = cell2)) | (~(Y!0 = cell12))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[14790, 14468])).
% 2.97/3.01 tff(14792,plain,
% 2.97/3.01 ((~(X!1 = cell4)) | (~(Y!0 = cell14))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13875, 14690])).
% 2.97/3.01 tff(14793,plain,
% 2.97/3.01 ((~(X!1 = cell5)) | (~(Y!0 = cell15))),
% 2.97/3.01 inference(unit_resolution,[status(thm)],[13877, 14129])).
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% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(14944,axiom,(~(cell10 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49776')).
% 2.97/3.03 tff(14945,plain,
% 2.97/3.03 (~(cell10 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14944, 14943])).
% 2.97/3.03 tff(14946,plain,
% 2.97/3.03 (~(X!1 = cell10)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14945, 14942])).
% 2.97/3.03 tff(14947,plain,
% 2.97/3.03 ((~(X!1 = cell10)) | (~(Y!0 = cell9))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9378, 14946])).
% 2.97/3.03 tff(14948,plain,
% 2.97/3.03 ((cell13 = cell96) <=> (cell96 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(14949,plain,
% 2.97/3.03 ((X!1 = cell96) <=> (cell13 = cell96)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(14950,plain,
% 2.97/3.03 ((X!1 = cell96) <=> (cell96 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[14949, 14948])).
% 2.97/3.03 tff(14951,plain,
% 2.97/3.03 ((cell96 = cell13) <=> (X!1 = cell96)),
% 2.97/3.03 inference(symmetry,[status(thm)],[14950])).
% 2.97/3.03 tff(14952,plain,
% 2.97/3.03 ((~(cell96 = cell13)) <=> (~(X!1 = cell96))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14951])).
% 2.97/3.03 tff(14953,plain,
% 2.97/3.03 ((~(cell96 = cell13)) <=> (~(cell96 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(14954,axiom,(~(cell96 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45369')).
% 2.97/3.03 tff(14955,plain,
% 2.97/3.03 (~(cell96 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14954, 14953])).
% 2.97/3.03 tff(14956,plain,
% 2.97/3.03 (~(X!1 = cell96)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14955, 14952])).
% 2.97/3.03 tff(14957,plain,
% 2.97/3.03 ((~(X!1 = cell96)) | (~(Y!0 = cell86))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9380, 14956])).
% 2.97/3.03 tff(14958,assumption,(X!1 = cell100), introduced(assumption)).
% 2.97/3.03 tff(14959,plain,
% 2.97/3.03 (cell100 = X!1),
% 2.97/3.03 inference(symmetry,[status(thm)],[14958])).
% 2.97/3.03 tff(14960,plain,
% 2.97/3.03 ((cell100 = cell13) <=> (X!1 = cell13)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14959])).
% 2.97/3.03 tff(14961,plain,
% 2.97/3.03 ((X!1 = cell13) <=> (cell100 = cell13)),
% 2.97/3.03 inference(symmetry,[status(thm)],[14960])).
% 2.97/3.03 tff(14962,assumption,(X!1 = cell13), introduced(assumption)).
% 2.97/3.03 tff(14963,plain,
% 2.97/3.03 (cell100 = cell13),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14962, 14961])).
% 2.97/3.03 tff(14964,plain,
% 2.97/3.03 ($false),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[6109, 14963])).
% 2.97/3.03 tff(14965,plain,((~(X!1 = cell100)) | (~(X!1 = cell13))), inference(lemma,lemma(discharge,[]))).
% 2.97/3.03 tff(14966,plain,
% 2.97/3.03 (~(X!1 = cell100)),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[14965, 14878])).
% 2.97/3.03 tff(14967,plain,
% 2.97/3.03 ((~(X!1 = cell100)) | (~(Y!0 = cell90))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9888, 14966])).
% 2.97/3.03 tff(14968,plain,
% 2.97/3.03 ((cell13 = cell15) <=> (cell15 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(14969,plain,
% 2.97/3.03 ((X!1 = cell15) <=> (cell13 = cell15)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(14970,plain,
% 2.97/3.03 ((X!1 = cell15) <=> (cell15 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[14969, 14968])).
% 2.97/3.03 tff(14971,plain,
% 2.97/3.03 ((cell15 = cell13) <=> (X!1 = cell15)),
% 2.97/3.03 inference(symmetry,[status(thm)],[14970])).
% 2.97/3.03 tff(14972,plain,
% 2.97/3.03 ((~(cell15 = cell13)) <=> (~(X!1 = cell15))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14971])).
% 2.97/3.03 tff(14973,plain,
% 2.97/3.03 ((~(cell15 = cell13)) <=> (~(cell15 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(14974,axiom,(~(cell15 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49739')).
% 2.97/3.03 tff(14975,plain,
% 2.97/3.03 (~(cell15 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 2.97/3.03 tff(14976,plain,
% 2.97/3.03 (~(X!1 = cell15)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14975, 14972])).
% 2.97/3.03 tff(14977,plain,
% 2.97/3.03 ((~(X!1 = cell15)) | (~(Y!0 = cell14))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9396, 14976])).
% 2.97/3.03 tff(14978,plain,
% 2.97/3.03 ((cell13 = cell16) <=> (cell16 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(14979,plain,
% 2.97/3.03 ((X!1 = cell16) <=> (cell13 = cell16)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(14980,plain,
% 2.97/3.03 ((X!1 = cell16) <=> (cell16 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[14979, 14978])).
% 2.97/3.03 tff(14981,plain,
% 2.97/3.03 ((cell16 = cell13) <=> (X!1 = cell16)),
% 2.97/3.03 inference(symmetry,[status(thm)],[14980])).
% 2.97/3.03 tff(14982,plain,
% 2.97/3.03 ((~(cell16 = cell13)) <=> (~(X!1 = cell16))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14981])).
% 2.97/3.03 tff(14983,plain,
% 2.97/3.03 ((~(cell16 = cell13)) <=> (~(cell16 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(14984,axiom,(~(cell16 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49719')).
% 2.97/3.03 tff(14985,plain,
% 2.97/3.03 (~(cell16 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14984, 14983])).
% 2.97/3.03 tff(14986,plain,
% 2.97/3.03 (~(X!1 = cell16)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14985, 14982])).
% 2.97/3.03 tff(14987,plain,
% 2.97/3.03 ((~(X!1 = cell16)) | (~(Y!0 = cell15))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9405, 14986])).
% 2.97/3.03 tff(14988,plain,
% 2.97/3.03 ((cell13 = cell17) <=> (cell17 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(14989,plain,
% 2.97/3.03 ((X!1 = cell17) <=> (cell13 = cell17)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(14990,plain,
% 2.97/3.03 ((X!1 = cell17) <=> (cell17 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[14989, 14988])).
% 2.97/3.03 tff(14991,plain,
% 2.97/3.03 ((cell17 = cell13) <=> (X!1 = cell17)),
% 2.97/3.03 inference(symmetry,[status(thm)],[14990])).
% 2.97/3.03 tff(14992,plain,
% 2.97/3.03 ((~(cell17 = cell13)) <=> (~(X!1 = cell17))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14991])).
% 2.97/3.03 tff(14993,plain,
% 2.97/3.03 ((~(cell17 = cell13)) <=> (~(cell17 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(14994,axiom,(~(cell17 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49698')).
% 2.97/3.03 tff(14995,plain,
% 2.97/3.03 (~(cell17 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 2.97/3.03 tff(14996,plain,
% 2.97/3.03 (~(X!1 = cell17)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[14995, 14992])).
% 2.97/3.03 tff(14997,plain,
% 2.97/3.03 ((~(X!1 = cell17)) | (~(Y!0 = cell16))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9414, 14996])).
% 2.97/3.03 tff(14998,plain,
% 2.97/3.03 ((cell13 = cell18) <=> (cell18 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(14999,plain,
% 2.97/3.03 ((X!1 = cell18) <=> (cell13 = cell18)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(15000,plain,
% 2.97/3.03 ((X!1 = cell18) <=> (cell18 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[14999, 14998])).
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% 2.97/3.03 ((cell18 = cell13) <=> (X!1 = cell18)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15000])).
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% 2.97/3.03 ((~(cell18 = cell13)) <=> (~(X!1 = cell18))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15001])).
% 2.97/3.03 tff(15003,plain,
% 2.97/3.03 ((~(cell18 = cell13)) <=> (~(cell18 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15004,axiom,(~(cell18 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49676')).
% 2.97/3.03 tff(15005,plain,
% 2.97/3.03 (~(cell18 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15004, 15003])).
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% 2.97/3.03 (~(X!1 = cell18)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15005, 15002])).
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% 2.97/3.03 ((~(X!1 = cell18)) | (~(Y!0 = cell17))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9423, 15006])).
% 2.97/3.03 tff(15008,plain,
% 2.97/3.03 ((cell13 = cell19) <=> (cell19 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(15009,plain,
% 2.97/3.03 ((X!1 = cell19) <=> (cell13 = cell19)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(15010,plain,
% 2.97/3.03 ((X!1 = cell19) <=> (cell19 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15009, 15008])).
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% 2.97/3.03 ((cell19 = cell13) <=> (X!1 = cell19)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15010])).
% 2.97/3.03 tff(15012,plain,
% 2.97/3.03 ((~(cell19 = cell13)) <=> (~(X!1 = cell19))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15011])).
% 2.97/3.03 tff(15013,plain,
% 2.97/3.03 ((~(cell19 = cell13)) <=> (~(cell19 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15014,axiom,(~(cell19 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49653')).
% 2.97/3.03 tff(15015,plain,
% 2.97/3.03 (~(cell19 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15014, 15013])).
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% 2.97/3.03 (~(X!1 = cell19)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15015, 15012])).
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% 2.97/3.03 ((~(X!1 = cell19)) | (~(Y!0 = cell18))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9432, 15016])).
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% 2.97/3.03 ((cell13 = cell20) <=> (cell20 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
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% 2.97/3.03 ((X!1 = cell20) <=> (cell13 = cell20)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
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% 2.97/3.03 ((X!1 = cell20) <=> (cell20 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15019, 15018])).
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% 2.97/3.03 ((cell20 = cell13) <=> (X!1 = cell20)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15020])).
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% 2.97/3.03 ((~(cell20 = cell13)) <=> (~(X!1 = cell20))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15021])).
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% 2.97/3.03 ((~(cell20 = cell13)) <=> (~(cell20 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15024,axiom,(~(cell20 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49629')).
% 2.97/3.03 tff(15025,plain,
% 2.97/3.03 (~(cell20 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15024, 15023])).
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% 2.97/3.03 (~(X!1 = cell20)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15025, 15022])).
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% 2.97/3.03 ((~(X!1 = cell20)) | (~(Y!0 = cell19))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9441, 15026])).
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% 2.97/3.03 ((cell13 = cell87) <=> (cell87 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
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% 2.97/3.03 ((X!1 = cell87) <=> (cell13 = cell87)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(15030,plain,
% 2.97/3.03 ((X!1 = cell87) <=> (cell87 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15029, 15028])).
% 2.97/3.03 tff(15031,plain,
% 2.97/3.03 ((cell87 = cell13) <=> (X!1 = cell87)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15030])).
% 2.97/3.03 tff(15032,plain,
% 2.97/3.03 ((~(cell87 = cell13)) <=> (~(X!1 = cell87))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15031])).
% 2.97/3.03 tff(15033,plain,
% 2.97/3.03 ((~(cell87 = cell13)) <=> (~(cell87 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15034,axiom,(~(cell87 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45924')).
% 2.97/3.03 tff(15035,plain,
% 2.97/3.03 (~(cell87 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15034, 15033])).
% 2.97/3.03 tff(15036,plain,
% 2.97/3.03 (~(X!1 = cell87)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15035, 15032])).
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% 2.97/3.03 ((~(X!1 = cell87)) | (~(Y!0 = cell77))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[10162, 15036])).
% 2.97/3.03 tff(15038,plain,
% 2.97/3.03 ((cell13 = cell24) <=> (cell24 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(15039,plain,
% 2.97/3.03 ((X!1 = cell24) <=> (cell13 = cell24)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(15040,plain,
% 2.97/3.03 ((X!1 = cell24) <=> (cell24 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15039, 15038])).
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% 2.97/3.03 ((cell24 = cell13) <=> (X!1 = cell24)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15040])).
% 2.97/3.03 tff(15042,plain,
% 2.97/3.03 ((~(cell24 = cell13)) <=> (~(X!1 = cell24))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15041])).
% 2.97/3.03 tff(15043,plain,
% 2.97/3.03 ((~(cell24 = cell13)) <=> (~(cell24 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15044,axiom,(~(cell24 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49551')).
% 2.97/3.03 tff(15045,plain,
% 2.97/3.03 (~(cell24 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15044, 15043])).
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% 2.97/3.03 (~(X!1 = cell24)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15045, 15042])).
% 2.97/3.03 tff(15047,plain,
% 2.97/3.03 ((~(X!1 = cell24)) | (~(Y!0 = cell23))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9457, 15046])).
% 2.97/3.03 tff(15048,plain,
% 2.97/3.03 ((cell13 = cell25) <=> (cell25 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(15049,plain,
% 2.97/3.03 ((X!1 = cell25) <=> (cell13 = cell25)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(15050,plain,
% 2.97/3.03 ((X!1 = cell25) <=> (cell25 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15049, 15048])).
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% 2.97/3.03 ((cell25 = cell13) <=> (X!1 = cell25)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15050])).
% 2.97/3.03 tff(15052,plain,
% 2.97/3.03 ((~(cell25 = cell13)) <=> (~(X!1 = cell25))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15051])).
% 2.97/3.03 tff(15053,plain,
% 2.97/3.03 ((~(cell25 = cell13)) <=> (~(cell25 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15054,axiom,(~(cell25 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49523')).
% 2.97/3.03 tff(15055,plain,
% 2.97/3.03 (~(cell25 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15054, 15053])).
% 2.97/3.03 tff(15056,plain,
% 2.97/3.03 (~(X!1 = cell25)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15055, 15052])).
% 2.97/3.03 tff(15057,plain,
% 2.97/3.03 ((~(X!1 = cell25)) | (~(Y!0 = cell24))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9466, 15056])).
% 2.97/3.03 tff(15058,plain,
% 2.97/3.03 ((cell13 = cell26) <=> (cell26 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(15059,plain,
% 2.97/3.03 ((X!1 = cell26) <=> (cell13 = cell26)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(15060,plain,
% 2.97/3.03 ((X!1 = cell26) <=> (cell26 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15059, 15058])).
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% 2.97/3.03 ((cell26 = cell13) <=> (X!1 = cell26)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15060])).
% 2.97/3.03 tff(15062,plain,
% 2.97/3.03 ((~(cell26 = cell13)) <=> (~(X!1 = cell26))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15061])).
% 2.97/3.03 tff(15063,plain,
% 2.97/3.03 ((~(cell26 = cell13)) <=> (~(cell26 = cell13))),
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% 2.97/3.03 tff(15064,axiom,(~(cell26 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49494')).
% 2.97/3.03 tff(15065,plain,
% 2.97/3.03 (~(cell26 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15064, 15063])).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15065, 15062])).
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% 2.97/3.03 ((~(X!1 = cell26)) | (~(Y!0 = cell25))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9475, 15066])).
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% 2.97/3.03 ((cell13 = cell27) <=> (cell27 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
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% 2.97/3.03 ((X!1 = cell27) <=> (cell13 = cell27)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
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% 2.97/3.03 ((X!1 = cell27) <=> (cell27 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15069, 15068])).
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% 2.97/3.03 ((cell27 = cell13) <=> (X!1 = cell27)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15070])).
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% 2.97/3.03 ((~(cell27 = cell13)) <=> (~(X!1 = cell27))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15071])).
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% 2.97/3.03 ((~(cell27 = cell13)) <=> (~(cell27 = cell13))),
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% 2.97/3.03 tff(15074,axiom,(~(cell27 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49464')).
% 2.97/3.03 tff(15075,plain,
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15074, 15073])).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15075, 15072])).
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% 2.97/3.03 inference(unit_resolution,[status(thm)],[9484, 15076])).
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% 2.97/3.03 inference(commutativity,[status(thm)],[])).
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% 2.97/3.03 ((X!1 = cell28) <=> (cell13 = cell28)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
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% 2.97/3.03 inference(transitivity,[status(thm)],[15079, 15078])).
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% 2.97/3.03 ((~(cell28 = cell13)) <=> (~(X!1 = cell28))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15081])).
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% 2.97/3.03 ((~(cell28 = cell13)) <=> (~(cell28 = cell13))),
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% 2.97/3.03 tff(15084,axiom,(~(cell28 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49433')).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15084, 15083])).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15085, 15082])).
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% 2.97/3.03 inference(unit_resolution,[status(thm)],[9493, 15086])).
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% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
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% 2.97/3.03 inference(transitivity,[status(thm)],[15089, 15088])).
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% 2.97/3.03 tff(15094,axiom,(~(cell29 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49401')).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15094, 15093])).
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% 2.97/3.03 tff(15104,axiom,(~(cell30 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49368')).
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% 2.97/3.03 inference(transitivity,[status(thm)],[15179, 15178])).
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% 2.97/3.03 ((cell39 = cell13) <=> (X!1 = cell39)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15180])).
% 2.97/3.03 tff(15182,plain,
% 2.97/3.03 ((~(cell39 = cell13)) <=> (~(X!1 = cell39))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15181])).
% 2.97/3.03 tff(15183,plain,
% 2.97/3.03 ((~(cell39 = cell13)) <=> (~(cell39 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15184,axiom,(~(cell39 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49026')).
% 2.97/3.03 tff(15185,plain,
% 2.97/3.03 (~(cell39 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15184, 15183])).
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% 2.97/3.03 (~(X!1 = cell39)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15185, 15182])).
% 2.97/3.03 tff(15187,plain,
% 2.97/3.03 ((~(X!1 = cell39)) | (~(Y!0 = cell38))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9583, 15186])).
% 2.97/3.03 tff(15188,plain,
% 2.97/3.03 ((cell13 = cell40) <=> (cell40 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
% 2.97/3.03 tff(15189,plain,
% 2.97/3.03 ((X!1 = cell40) <=> (cell13 = cell40)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.03 tff(15190,plain,
% 2.97/3.03 ((X!1 = cell40) <=> (cell40 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15189, 15188])).
% 2.97/3.03 tff(15191,plain,
% 2.97/3.03 ((cell40 = cell13) <=> (X!1 = cell40)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15190])).
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% 2.97/3.03 ((~(cell40 = cell13)) <=> (~(X!1 = cell40))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15191])).
% 2.97/3.03 tff(15193,plain,
% 2.97/3.03 ((~(cell40 = cell13)) <=> (~(cell40 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15194,axiom,(~(cell40 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48983')).
% 2.97/3.03 tff(15195,plain,
% 2.97/3.03 (~(cell40 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15194, 15193])).
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% 2.97/3.03 (~(X!1 = cell40)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15195, 15192])).
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% 2.97/3.03 ((~(X!1 = cell40)) | (~(Y!0 = cell39))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9592, 15196])).
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% 2.97/3.03 ((cell13 = cell42) <=> (cell42 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
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% 2.97/3.03 ((X!1 = cell42) <=> (cell13 = cell42)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
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% 2.97/3.03 ((X!1 = cell42) <=> (cell42 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15199, 15198])).
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% 2.97/3.03 ((cell42 = cell13) <=> (X!1 = cell42)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15200])).
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% 2.97/3.03 ((~(cell42 = cell13)) <=> (~(X!1 = cell42))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15201])).
% 2.97/3.03 tff(15203,plain,
% 2.97/3.03 ((~(cell42 = cell13)) <=> (~(cell42 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15204,axiom,(~(cell42 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48939')).
% 2.97/3.03 tff(15205,plain,
% 2.97/3.03 (~(cell42 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15204, 15203])).
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% 2.97/3.03 (~(X!1 = cell42)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15205, 15202])).
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% 2.97/3.03 ((~(X!1 = cell42)) | (~(Y!0 = cell41))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9601, 15206])).
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% 2.97/3.03 ((cell13 = cell43) <=> (cell43 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
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% 2.97/3.03 ((X!1 = cell43) <=> (cell13 = cell43)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
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% 2.97/3.03 ((X!1 = cell43) <=> (cell43 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15209, 15208])).
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% 2.97/3.03 ((cell43 = cell13) <=> (X!1 = cell43)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15210])).
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% 2.97/3.03 ((~(cell43 = cell13)) <=> (~(X!1 = cell43))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15211])).
% 2.97/3.03 tff(15213,plain,
% 2.97/3.03 ((~(cell43 = cell13)) <=> (~(cell43 = cell13))),
% 2.97/3.03 inference(rewrite,[status(thm)],[])).
% 2.97/3.03 tff(15214,axiom,(~(cell43 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48848')).
% 2.97/3.03 tff(15215,plain,
% 2.97/3.03 (~(cell43 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15214, 15213])).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15215, 15212])).
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% 2.97/3.03 ((~(X!1 = cell43)) | (~(Y!0 = cell42))),
% 2.97/3.03 inference(unit_resolution,[status(thm)],[9610, 15216])).
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% 2.97/3.03 ((cell13 = cell44) <=> (cell44 = cell13)),
% 2.97/3.03 inference(commutativity,[status(thm)],[])).
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% 2.97/3.03 ((X!1 = cell44) <=> (cell13 = cell44)),
% 2.97/3.03 inference(monotonicity,[status(thm)],[14878])).
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% 2.97/3.03 ((X!1 = cell44) <=> (cell44 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15219, 15218])).
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% 2.97/3.03 ((cell44 = cell13) <=> (X!1 = cell44)),
% 2.97/3.03 inference(symmetry,[status(thm)],[15220])).
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% 2.97/3.03 ((~(cell44 = cell13)) <=> (~(X!1 = cell44))),
% 2.97/3.03 inference(monotonicity,[status(thm)],[15221])).
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% 2.97/3.03 ((~(cell44 = cell13)) <=> (~(cell44 = cell13))),
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% 2.97/3.03 tff(15224,axiom,(~(cell44 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48801')).
% 2.97/3.03 tff(15225,plain,
% 2.97/3.03 (~(cell44 = cell13)),
% 2.97/3.03 inference(modus_ponens,[status(thm)],[15224, 15223])).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15225, 15222])).
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% 2.97/3.03 inference(unit_resolution,[status(thm)],[9619, 15226])).
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% 2.97/3.03 ((X!1 = cell45) <=> (cell45 = cell13)),
% 2.97/3.03 inference(transitivity,[status(thm)],[15229, 15228])).
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% 2.97/3.03 ((~(cell45 = cell13)) <=> (~(X!1 = cell45))),
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% 2.97/3.03 ((~(cell45 = cell13)) <=> (~(cell45 = cell13))),
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% 2.97/3.03 tff(15234,axiom,(~(cell45 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48753')).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15234, 15233])).
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% 2.97/3.03 inference(modus_ponens,[status(thm)],[15235, 15232])).
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% 2.97/3.03 inference(unit_resolution,[status(thm)],[9628, 15236])).
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% 2.97/3.03 ((~(cell46 = cell13)) <=> (~(cell46 = cell13))),
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% 2.97/3.03 tff(15244,axiom,(~(cell46 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48704')).
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% 2.97/3.03 tff(15264,axiom,(~(cell48 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48603')).
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% 2.97/3.04 tff(15274,axiom,(~(cell49 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48551')).
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% 2.97/3.04 tff(15284,axiom,(~(cell50 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48498')).
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% 2.97/3.04 tff(15294,axiom,(~(cell52 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48444')).
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% 2.97/3.04 inference(commutativity,[status(thm)],[])).
% 2.97/3.04 tff(15299,plain,
% 2.97/3.04 ((X!1 = cell53) <=> (cell13 = cell53)),
% 2.97/3.04 inference(monotonicity,[status(thm)],[14878])).
% 2.97/3.04 tff(15300,plain,
% 2.97/3.04 ((X!1 = cell53) <=> (cell53 = cell13)),
% 2.97/3.04 inference(transitivity,[status(thm)],[15299, 15298])).
% 2.97/3.04 tff(15301,plain,
% 2.97/3.04 ((cell53 = cell13) <=> (X!1 = cell53)),
% 2.97/3.04 inference(symmetry,[status(thm)],[15300])).
% 2.97/3.04 tff(15302,plain,
% 2.97/3.04 ((~(cell53 = cell13)) <=> (~(X!1 = cell53))),
% 2.97/3.04 inference(monotonicity,[status(thm)],[15301])).
% 2.97/3.04 tff(15303,plain,
% 2.97/3.04 ((~(cell53 = cell13)) <=> (~(cell53 = cell13))),
% 2.97/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15304,axiom,(~(cell53 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48333')).
% 3.00/3.04 tff(15305,plain,
% 3.00/3.04 (~(cell53 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15304, 15303])).
% 3.00/3.04 tff(15306,plain,
% 3.00/3.04 (~(X!1 = cell53)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15305, 15302])).
% 3.00/3.04 tff(15307,plain,
% 3.00/3.04 ((~(X!1 = cell53)) | (~(Y!0 = cell52))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9691, 15306])).
% 3.00/3.04 tff(15308,plain,
% 3.00/3.04 ((cell13 = cell54) <=> (cell54 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15309,plain,
% 3.00/3.04 ((X!1 = cell54) <=> (cell13 = cell54)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15310,plain,
% 3.00/3.04 ((X!1 = cell54) <=> (cell54 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15309, 15308])).
% 3.00/3.04 tff(15311,plain,
% 3.00/3.04 ((cell54 = cell13) <=> (X!1 = cell54)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15310])).
% 3.00/3.04 tff(15312,plain,
% 3.00/3.04 ((~(cell54 = cell13)) <=> (~(X!1 = cell54))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15311])).
% 3.00/3.04 tff(15313,plain,
% 3.00/3.04 ((~(cell54 = cell13)) <=> (~(cell54 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15314,axiom,(~(cell54 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48276')).
% 3.00/3.04 tff(15315,plain,
% 3.00/3.04 (~(cell54 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15314, 15313])).
% 3.00/3.04 tff(15316,plain,
% 3.00/3.04 (~(X!1 = cell54)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15315, 15312])).
% 3.00/3.04 tff(15317,plain,
% 3.00/3.04 ((~(X!1 = cell54)) | (~(Y!0 = cell53))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9700, 15316])).
% 3.00/3.04 tff(15318,plain,
% 3.00/3.04 ((cell13 = cell55) <=> (cell55 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15319,plain,
% 3.00/3.04 ((X!1 = cell55) <=> (cell13 = cell55)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15320,plain,
% 3.00/3.04 ((X!1 = cell55) <=> (cell55 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15319, 15318])).
% 3.00/3.04 tff(15321,plain,
% 3.00/3.04 ((cell55 = cell13) <=> (X!1 = cell55)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15320])).
% 3.00/3.04 tff(15322,plain,
% 3.00/3.04 ((~(cell55 = cell13)) <=> (~(X!1 = cell55))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15321])).
% 3.00/3.04 tff(15323,plain,
% 3.00/3.04 ((~(cell55 = cell13)) <=> (~(cell55 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15324,axiom,(~(cell55 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48218')).
% 3.00/3.04 tff(15325,plain,
% 3.00/3.04 (~(cell55 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 3.00/3.04 tff(15326,plain,
% 3.00/3.04 (~(X!1 = cell55)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15325, 15322])).
% 3.00/3.04 tff(15327,plain,
% 3.00/3.04 ((~(X!1 = cell55)) | (~(Y!0 = cell54))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9709, 15326])).
% 3.00/3.04 tff(15328,plain,
% 3.00/3.04 ((cell13 = cell56) <=> (cell56 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15329,plain,
% 3.00/3.04 ((X!1 = cell56) <=> (cell13 = cell56)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15330,plain,
% 3.00/3.04 ((X!1 = cell56) <=> (cell56 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15329, 15328])).
% 3.00/3.04 tff(15331,plain,
% 3.00/3.04 ((cell56 = cell13) <=> (X!1 = cell56)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15330])).
% 3.00/3.04 tff(15332,plain,
% 3.00/3.04 ((~(cell56 = cell13)) <=> (~(X!1 = cell56))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15331])).
% 3.00/3.04 tff(15333,plain,
% 3.00/3.04 ((~(cell56 = cell13)) <=> (~(cell56 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15334,axiom,(~(cell56 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48159')).
% 3.00/3.04 tff(15335,plain,
% 3.00/3.04 (~(cell56 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 3.00/3.04 tff(15336,plain,
% 3.00/3.04 (~(X!1 = cell56)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15335, 15332])).
% 3.00/3.04 tff(15337,plain,
% 3.00/3.04 ((~(X!1 = cell56)) | (~(Y!0 = cell55))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9718, 15336])).
% 3.00/3.04 tff(15338,plain,
% 3.00/3.04 ((cell13 = cell57) <=> (cell57 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15339,plain,
% 3.00/3.04 ((X!1 = cell57) <=> (cell13 = cell57)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15340,plain,
% 3.00/3.04 ((X!1 = cell57) <=> (cell57 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15339, 15338])).
% 3.00/3.04 tff(15341,plain,
% 3.00/3.04 ((cell57 = cell13) <=> (X!1 = cell57)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15340])).
% 3.00/3.04 tff(15342,plain,
% 3.00/3.04 ((~(cell57 = cell13)) <=> (~(X!1 = cell57))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15341])).
% 3.00/3.04 tff(15343,plain,
% 3.00/3.04 ((~(cell57 = cell13)) <=> (~(cell57 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15344,axiom,(~(cell57 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48099')).
% 3.00/3.04 tff(15345,plain,
% 3.00/3.04 (~(cell57 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15344, 15343])).
% 3.00/3.04 tff(15346,plain,
% 3.00/3.04 (~(X!1 = cell57)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15345, 15342])).
% 3.00/3.04 tff(15347,plain,
% 3.00/3.04 ((~(X!1 = cell57)) | (~(Y!0 = cell56))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9727, 15346])).
% 3.00/3.04 tff(15348,plain,
% 3.00/3.04 ((cell13 = cell58) <=> (cell58 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15349,plain,
% 3.00/3.04 ((X!1 = cell58) <=> (cell13 = cell58)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15350,plain,
% 3.00/3.04 ((X!1 = cell58) <=> (cell58 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15349, 15348])).
% 3.00/3.04 tff(15351,plain,
% 3.00/3.04 ((cell58 = cell13) <=> (X!1 = cell58)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15350])).
% 3.00/3.04 tff(15352,plain,
% 3.00/3.04 ((~(cell58 = cell13)) <=> (~(X!1 = cell58))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15351])).
% 3.00/3.04 tff(15353,plain,
% 3.00/3.04 ((~(cell58 = cell13)) <=> (~(cell58 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15354,axiom,(~(cell58 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48038')).
% 3.00/3.04 tff(15355,plain,
% 3.00/3.04 (~(cell58 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 3.00/3.04 tff(15356,plain,
% 3.00/3.04 (~(X!1 = cell58)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15355, 15352])).
% 3.00/3.04 tff(15357,plain,
% 3.00/3.04 ((~(X!1 = cell58)) | (~(Y!0 = cell57))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9736, 15356])).
% 3.00/3.04 tff(15358,plain,
% 3.00/3.04 ((cell13 = cell59) <=> (cell59 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15359,plain,
% 3.00/3.04 ((X!1 = cell59) <=> (cell13 = cell59)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15360,plain,
% 3.00/3.04 ((X!1 = cell59) <=> (cell59 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15359, 15358])).
% 3.00/3.04 tff(15361,plain,
% 3.00/3.04 ((cell59 = cell13) <=> (X!1 = cell59)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15360])).
% 3.00/3.04 tff(15362,plain,
% 3.00/3.04 ((~(cell59 = cell13)) <=> (~(X!1 = cell59))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15361])).
% 3.00/3.04 tff(15363,plain,
% 3.00/3.04 ((~(cell59 = cell13)) <=> (~(cell59 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15364,axiom,(~(cell59 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47976')).
% 3.00/3.04 tff(15365,plain,
% 3.00/3.04 (~(cell59 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 3.00/3.04 tff(15366,plain,
% 3.00/3.04 (~(X!1 = cell59)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15365, 15362])).
% 3.00/3.04 tff(15367,plain,
% 3.00/3.04 ((~(X!1 = cell59)) | (~(Y!0 = cell58))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9745, 15366])).
% 3.00/3.04 tff(15368,plain,
% 3.00/3.04 ((cell13 = cell60) <=> (cell60 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15369,plain,
% 3.00/3.04 ((X!1 = cell60) <=> (cell13 = cell60)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15370,plain,
% 3.00/3.04 ((X!1 = cell60) <=> (cell60 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15369, 15368])).
% 3.00/3.04 tff(15371,plain,
% 3.00/3.04 ((cell60 = cell13) <=> (X!1 = cell60)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15370])).
% 3.00/3.04 tff(15372,plain,
% 3.00/3.04 ((~(cell60 = cell13)) <=> (~(X!1 = cell60))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15371])).
% 3.00/3.04 tff(15373,plain,
% 3.00/3.04 ((~(cell60 = cell13)) <=> (~(cell60 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15374,axiom,(~(cell60 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47913')).
% 3.00/3.04 tff(15375,plain,
% 3.00/3.04 (~(cell60 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15374, 15373])).
% 3.00/3.04 tff(15376,plain,
% 3.00/3.04 (~(X!1 = cell60)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15375, 15372])).
% 3.00/3.04 tff(15377,plain,
% 3.00/3.04 ((~(X!1 = cell60)) | (~(Y!0 = cell59))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9754, 15376])).
% 3.00/3.04 tff(15378,plain,
% 3.00/3.04 ((cell13 = cell62) <=> (cell62 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15379,plain,
% 3.00/3.04 ((X!1 = cell62) <=> (cell13 = cell62)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15380,plain,
% 3.00/3.04 ((X!1 = cell62) <=> (cell62 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15379, 15378])).
% 3.00/3.04 tff(15381,plain,
% 3.00/3.04 ((cell62 = cell13) <=> (X!1 = cell62)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15380])).
% 3.00/3.04 tff(15382,plain,
% 3.00/3.04 ((~(cell62 = cell13)) <=> (~(X!1 = cell62))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15381])).
% 3.00/3.04 tff(15383,plain,
% 3.00/3.04 ((~(cell62 = cell13)) <=> (~(cell62 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15384,axiom,(~(cell62 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47849')).
% 3.00/3.04 tff(15385,plain,
% 3.00/3.04 (~(cell62 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15384, 15383])).
% 3.00/3.04 tff(15386,plain,
% 3.00/3.04 (~(X!1 = cell62)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15385, 15382])).
% 3.00/3.04 tff(15387,plain,
% 3.00/3.04 ((~(X!1 = cell62)) | (~(Y!0 = cell61))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9763, 15386])).
% 3.00/3.04 tff(15388,plain,
% 3.00/3.04 ((cell13 = cell63) <=> (cell63 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15389,plain,
% 3.00/3.04 ((X!1 = cell63) <=> (cell13 = cell63)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15390,plain,
% 3.00/3.04 ((X!1 = cell63) <=> (cell63 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15389, 15388])).
% 3.00/3.04 tff(15391,plain,
% 3.00/3.04 ((cell63 = cell13) <=> (X!1 = cell63)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15390])).
% 3.00/3.04 tff(15392,plain,
% 3.00/3.04 ((~(cell63 = cell13)) <=> (~(X!1 = cell63))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15391])).
% 3.00/3.04 tff(15393,plain,
% 3.00/3.04 ((~(cell63 = cell13)) <=> (~(cell63 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15394,axiom,(~(cell63 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47718')).
% 3.00/3.04 tff(15395,plain,
% 3.00/3.04 (~(cell63 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 3.00/3.04 tff(15396,plain,
% 3.00/3.04 (~(X!1 = cell63)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15395, 15392])).
% 3.00/3.04 tff(15397,plain,
% 3.00/3.04 ((~(X!1 = cell63)) | (~(Y!0 = cell62))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9772, 15396])).
% 3.00/3.04 tff(15398,plain,
% 3.00/3.04 ((cell13 = cell64) <=> (cell64 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15399,plain,
% 3.00/3.04 ((X!1 = cell64) <=> (cell13 = cell64)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15400,plain,
% 3.00/3.04 ((X!1 = cell64) <=> (cell64 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15399, 15398])).
% 3.00/3.04 tff(15401,plain,
% 3.00/3.04 ((cell64 = cell13) <=> (X!1 = cell64)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15400])).
% 3.00/3.04 tff(15402,plain,
% 3.00/3.04 ((~(cell64 = cell13)) <=> (~(X!1 = cell64))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15401])).
% 3.00/3.04 tff(15403,plain,
% 3.00/3.04 ((~(cell64 = cell13)) <=> (~(cell64 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15404,axiom,(~(cell64 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47651')).
% 3.00/3.04 tff(15405,plain,
% 3.00/3.04 (~(cell64 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15404, 15403])).
% 3.00/3.04 tff(15406,plain,
% 3.00/3.04 (~(X!1 = cell64)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15405, 15402])).
% 3.00/3.04 tff(15407,plain,
% 3.00/3.04 ((~(X!1 = cell64)) | (~(Y!0 = cell63))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9781, 15406])).
% 3.00/3.04 tff(15408,plain,
% 3.00/3.04 ((cell13 = cell65) <=> (cell65 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15409,plain,
% 3.00/3.04 ((X!1 = cell65) <=> (cell13 = cell65)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15410,plain,
% 3.00/3.04 ((X!1 = cell65) <=> (cell65 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15409, 15408])).
% 3.00/3.04 tff(15411,plain,
% 3.00/3.04 ((cell65 = cell13) <=> (X!1 = cell65)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15410])).
% 3.00/3.04 tff(15412,plain,
% 3.00/3.04 ((~(cell65 = cell13)) <=> (~(X!1 = cell65))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15411])).
% 3.00/3.04 tff(15413,plain,
% 3.00/3.04 ((~(cell65 = cell13)) <=> (~(cell65 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15414,axiom,(~(cell65 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47583')).
% 3.00/3.04 tff(15415,plain,
% 3.00/3.04 (~(cell65 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15414, 15413])).
% 3.00/3.04 tff(15416,plain,
% 3.00/3.04 (~(X!1 = cell65)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15415, 15412])).
% 3.00/3.04 tff(15417,plain,
% 3.00/3.04 ((~(X!1 = cell65)) | (~(Y!0 = cell64))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9790, 15416])).
% 3.00/3.04 tff(15418,plain,
% 3.00/3.04 ((cell13 = cell66) <=> (cell66 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15419,plain,
% 3.00/3.04 ((X!1 = cell66) <=> (cell13 = cell66)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15420,plain,
% 3.00/3.04 ((X!1 = cell66) <=> (cell66 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15419, 15418])).
% 3.00/3.04 tff(15421,plain,
% 3.00/3.04 ((cell66 = cell13) <=> (X!1 = cell66)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15420])).
% 3.00/3.04 tff(15422,plain,
% 3.00/3.04 ((~(cell66 = cell13)) <=> (~(X!1 = cell66))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15421])).
% 3.00/3.04 tff(15423,plain,
% 3.00/3.04 ((~(cell66 = cell13)) <=> (~(cell66 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15424,axiom,(~(cell66 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47514')).
% 3.00/3.04 tff(15425,plain,
% 3.00/3.04 (~(cell66 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15424, 15423])).
% 3.00/3.04 tff(15426,plain,
% 3.00/3.04 (~(X!1 = cell66)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15425, 15422])).
% 3.00/3.04 tff(15427,plain,
% 3.00/3.04 ((~(X!1 = cell66)) | (~(Y!0 = cell65))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9799, 15426])).
% 3.00/3.04 tff(15428,plain,
% 3.00/3.04 ((cell13 = cell67) <=> (cell67 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15429,plain,
% 3.00/3.04 ((X!1 = cell67) <=> (cell13 = cell67)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15430,plain,
% 3.00/3.04 ((X!1 = cell67) <=> (cell67 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15429, 15428])).
% 3.00/3.04 tff(15431,plain,
% 3.00/3.04 ((cell67 = cell13) <=> (X!1 = cell67)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15430])).
% 3.00/3.04 tff(15432,plain,
% 3.00/3.04 ((~(cell67 = cell13)) <=> (~(X!1 = cell67))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15431])).
% 3.00/3.04 tff(15433,plain,
% 3.00/3.04 ((~(cell67 = cell13)) <=> (~(cell67 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15434,axiom,(~(cell67 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47444')).
% 3.00/3.04 tff(15435,plain,
% 3.00/3.04 (~(cell67 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 3.00/3.04 tff(15436,plain,
% 3.00/3.04 (~(X!1 = cell67)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15435, 15432])).
% 3.00/3.04 tff(15437,plain,
% 3.00/3.04 ((~(X!1 = cell67)) | (~(Y!0 = cell66))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9808, 15436])).
% 3.00/3.04 tff(15438,plain,
% 3.00/3.04 ((cell13 = cell68) <=> (cell68 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15439,plain,
% 3.00/3.04 ((X!1 = cell68) <=> (cell13 = cell68)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15440,plain,
% 3.00/3.04 ((X!1 = cell68) <=> (cell68 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15439, 15438])).
% 3.00/3.04 tff(15441,plain,
% 3.00/3.04 ((cell68 = cell13) <=> (X!1 = cell68)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15440])).
% 3.00/3.04 tff(15442,plain,
% 3.00/3.04 ((~(cell68 = cell13)) <=> (~(X!1 = cell68))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15441])).
% 3.00/3.04 tff(15443,plain,
% 3.00/3.04 ((~(cell68 = cell13)) <=> (~(cell68 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15444,axiom,(~(cell68 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47373')).
% 3.00/3.04 tff(15445,plain,
% 3.00/3.04 (~(cell68 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15444, 15443])).
% 3.00/3.04 tff(15446,plain,
% 3.00/3.04 (~(X!1 = cell68)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15445, 15442])).
% 3.00/3.04 tff(15447,plain,
% 3.00/3.04 ((~(X!1 = cell68)) | (~(Y!0 = cell67))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9817, 15446])).
% 3.00/3.04 tff(15448,plain,
% 3.00/3.04 ((cell13 = cell69) <=> (cell69 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15449,plain,
% 3.00/3.04 ((X!1 = cell69) <=> (cell13 = cell69)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15450,plain,
% 3.00/3.04 ((X!1 = cell69) <=> (cell69 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15449, 15448])).
% 3.00/3.04 tff(15451,plain,
% 3.00/3.04 ((cell69 = cell13) <=> (X!1 = cell69)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15450])).
% 3.00/3.04 tff(15452,plain,
% 3.00/3.04 ((~(cell69 = cell13)) <=> (~(X!1 = cell69))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15451])).
% 3.00/3.04 tff(15453,plain,
% 3.00/3.04 (~(X!1 = cell69)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[1092, 15452])).
% 3.00/3.04 tff(15454,plain,
% 3.00/3.04 ((~(X!1 = cell69)) | (~(Y!0 = cell68))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[8793, 15453])).
% 3.00/3.04 tff(15455,plain,
% 3.00/3.04 ((cell13 = cell70) <=> (cell70 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15456,plain,
% 3.00/3.04 ((X!1 = cell70) <=> (cell13 = cell70)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15457,plain,
% 3.00/3.04 ((X!1 = cell70) <=> (cell70 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15456, 15455])).
% 3.00/3.04 tff(15458,plain,
% 3.00/3.04 ((cell70 = cell13) <=> (X!1 = cell70)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15457])).
% 3.00/3.04 tff(15459,plain,
% 3.00/3.04 ((~(cell70 = cell13)) <=> (~(X!1 = cell70))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15458])).
% 3.00/3.04 tff(15460,plain,
% 3.00/3.04 ((~(cell70 = cell13)) <=> (~(cell70 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15461,axiom,(~(cell70 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47228')).
% 3.00/3.04 tff(15462,plain,
% 3.00/3.04 (~(cell70 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15461, 15460])).
% 3.00/3.04 tff(15463,plain,
% 3.00/3.04 (~(X!1 = cell70)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15462, 15459])).
% 3.00/3.04 tff(15464,plain,
% 3.00/3.04 ((~(X!1 = cell70)) | (~(Y!0 = cell69))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9826, 15463])).
% 3.00/3.04 tff(15465,plain,
% 3.00/3.04 ((cell13 = cell72) <=> (cell72 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15466,plain,
% 3.00/3.04 ((X!1 = cell72) <=> (cell13 = cell72)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15467,plain,
% 3.00/3.04 ((X!1 = cell72) <=> (cell72 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15466, 15465])).
% 3.00/3.04 tff(15468,plain,
% 3.00/3.04 ((cell72 = cell13) <=> (X!1 = cell72)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15467])).
% 3.00/3.04 tff(15469,plain,
% 3.00/3.04 ((~(cell72 = cell13)) <=> (~(X!1 = cell72))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15468])).
% 3.00/3.04 tff(15470,plain,
% 3.00/3.04 ((~(cell72 = cell13)) <=> (~(cell72 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15471,axiom,(~(cell72 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47154')).
% 3.00/3.04 tff(15472,plain,
% 3.00/3.04 (~(cell72 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15471, 15470])).
% 3.00/3.04 tff(15473,plain,
% 3.00/3.04 (~(X!1 = cell72)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15472, 15469])).
% 3.00/3.04 tff(15474,plain,
% 3.00/3.04 ((~(X!1 = cell72)) | (~(Y!0 = cell71))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9835, 15473])).
% 3.00/3.04 tff(15475,plain,
% 3.00/3.04 ((cell13 = cell73) <=> (cell73 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15476,plain,
% 3.00/3.04 ((X!1 = cell73) <=> (cell13 = cell73)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15477,plain,
% 3.00/3.04 ((X!1 = cell73) <=> (cell73 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15476, 15475])).
% 3.00/3.04 tff(15478,plain,
% 3.00/3.04 ((cell73 = cell13) <=> (X!1 = cell73)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15477])).
% 3.00/3.04 tff(15479,plain,
% 3.00/3.04 ((~(cell73 = cell13)) <=> (~(X!1 = cell73))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15478])).
% 3.00/3.04 tff(15480,plain,
% 3.00/3.04 ((~(cell73 = cell13)) <=> (~(cell73 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15481,axiom,(~(cell73 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47003')).
% 3.00/3.04 tff(15482,plain,
% 3.00/3.04 (~(cell73 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15481, 15480])).
% 3.00/3.04 tff(15483,plain,
% 3.00/3.04 (~(X!1 = cell73)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15482, 15479])).
% 3.00/3.04 tff(15484,plain,
% 3.00/3.04 ((~(X!1 = cell73)) | (~(Y!0 = cell72))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9844, 15483])).
% 3.00/3.04 tff(15485,plain,
% 3.00/3.04 ((cell13 = cell74) <=> (cell74 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15486,plain,
% 3.00/3.04 ((X!1 = cell74) <=> (cell13 = cell74)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15487,plain,
% 3.00/3.04 ((X!1 = cell74) <=> (cell74 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15486, 15485])).
% 3.00/3.04 tff(15488,plain,
% 3.00/3.04 ((cell74 = cell13) <=> (X!1 = cell74)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15487])).
% 3.00/3.04 tff(15489,plain,
% 3.00/3.04 ((~(cell74 = cell13)) <=> (~(X!1 = cell74))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15488])).
% 3.00/3.04 tff(15490,plain,
% 3.00/3.04 ((~(cell74 = cell13)) <=> (~(cell74 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15491,axiom,(~(cell74 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46926')).
% 3.00/3.04 tff(15492,plain,
% 3.00/3.04 (~(cell74 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 3.00/3.04 tff(15493,plain,
% 3.00/3.04 (~(X!1 = cell74)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15492, 15489])).
% 3.00/3.04 tff(15494,plain,
% 3.00/3.04 ((~(X!1 = cell74)) | (~(Y!0 = cell73))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9853, 15493])).
% 3.00/3.04 tff(15495,plain,
% 3.00/3.04 ((cell13 = cell75) <=> (cell75 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15496,plain,
% 3.00/3.04 ((X!1 = cell75) <=> (cell13 = cell75)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15497,plain,
% 3.00/3.04 ((X!1 = cell75) <=> (cell75 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15496, 15495])).
% 3.00/3.04 tff(15498,plain,
% 3.00/3.04 ((cell75 = cell13) <=> (X!1 = cell75)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15497])).
% 3.00/3.04 tff(15499,plain,
% 3.00/3.04 ((~(cell75 = cell13)) <=> (~(X!1 = cell75))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15498])).
% 3.00/3.04 tff(15500,plain,
% 3.00/3.04 ((~(cell75 = cell13)) <=> (~(cell75 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15501,axiom,(~(cell75 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46848')).
% 3.00/3.04 tff(15502,plain,
% 3.00/3.04 (~(cell75 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15501, 15500])).
% 3.00/3.04 tff(15503,plain,
% 3.00/3.04 (~(X!1 = cell75)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15502, 15499])).
% 3.00/3.04 tff(15504,plain,
% 3.00/3.04 ((~(X!1 = cell75)) | (~(Y!0 = cell74))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9862, 15503])).
% 3.00/3.04 tff(15505,plain,
% 3.00/3.04 ((cell13 = cell76) <=> (cell76 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15506,plain,
% 3.00/3.04 ((X!1 = cell76) <=> (cell13 = cell76)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15507,plain,
% 3.00/3.04 ((X!1 = cell76) <=> (cell76 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15506, 15505])).
% 3.00/3.04 tff(15508,plain,
% 3.00/3.04 ((cell76 = cell13) <=> (X!1 = cell76)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15507])).
% 3.00/3.04 tff(15509,plain,
% 3.00/3.04 ((~(cell76 = cell13)) <=> (~(X!1 = cell76))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15508])).
% 3.00/3.04 tff(15510,plain,
% 3.00/3.04 ((~(cell76 = cell13)) <=> (~(cell76 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15511,axiom,(~(cell76 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46769')).
% 3.00/3.04 tff(15512,plain,
% 3.00/3.04 (~(cell76 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15511, 15510])).
% 3.00/3.04 tff(15513,plain,
% 3.00/3.04 (~(X!1 = cell76)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15512, 15509])).
% 3.00/3.04 tff(15514,plain,
% 3.00/3.04 ((~(X!1 = cell76)) | (~(Y!0 = cell75))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9871, 15513])).
% 3.00/3.04 tff(15515,plain,
% 3.00/3.04 ((cell13 = cell77) <=> (cell77 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15516,plain,
% 3.00/3.04 ((X!1 = cell77) <=> (cell13 = cell77)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15517,plain,
% 3.00/3.04 ((X!1 = cell77) <=> (cell77 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15516, 15515])).
% 3.00/3.04 tff(15518,plain,
% 3.00/3.04 ((cell77 = cell13) <=> (X!1 = cell77)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15517])).
% 3.00/3.04 tff(15519,plain,
% 3.00/3.04 ((~(cell77 = cell13)) <=> (~(X!1 = cell77))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15518])).
% 3.00/3.04 tff(15520,plain,
% 3.00/3.04 ((~(cell77 = cell13)) <=> (~(cell77 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15521,axiom,(~(cell77 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46689')).
% 3.00/3.04 tff(15522,plain,
% 3.00/3.04 (~(cell77 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15521, 15520])).
% 3.00/3.04 tff(15523,plain,
% 3.00/3.04 (~(X!1 = cell77)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15522, 15519])).
% 3.00/3.04 tff(15524,plain,
% 3.00/3.04 ((~(X!1 = cell77)) | (~(Y!0 = cell76))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9880, 15523])).
% 3.00/3.04 tff(15525,plain,
% 3.00/3.04 ((cell13 = cell78) <=> (cell78 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15526,plain,
% 3.00/3.04 ((X!1 = cell78) <=> (cell13 = cell78)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15527,plain,
% 3.00/3.04 ((X!1 = cell78) <=> (cell78 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15526, 15525])).
% 3.00/3.04 tff(15528,plain,
% 3.00/3.04 ((cell78 = cell13) <=> (X!1 = cell78)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15527])).
% 3.00/3.04 tff(15529,plain,
% 3.00/3.04 ((~(cell78 = cell13)) <=> (~(X!1 = cell78))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15528])).
% 3.00/3.04 tff(15530,plain,
% 3.00/3.04 (~(X!1 = cell78)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[1085, 15529])).
% 3.00/3.04 tff(15531,plain,
% 3.00/3.04 ((~(X!1 = cell78)) | (~(Y!0 = cell77))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[8872, 15530])).
% 3.00/3.04 tff(15532,plain,
% 3.00/3.04 ((cell13 = cell79) <=> (cell79 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15533,plain,
% 3.00/3.04 ((X!1 = cell79) <=> (cell13 = cell79)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15534,plain,
% 3.00/3.04 ((X!1 = cell79) <=> (cell79 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15533, 15532])).
% 3.00/3.04 tff(15535,plain,
% 3.00/3.04 ((cell79 = cell13) <=> (X!1 = cell79)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15534])).
% 3.00/3.04 tff(15536,plain,
% 3.00/3.04 ((~(cell79 = cell13)) <=> (~(X!1 = cell79))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15535])).
% 3.00/3.04 tff(15537,plain,
% 3.00/3.04 (~(X!1 = cell79)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[144, 15536])).
% 3.00/3.04 tff(15538,plain,
% 3.00/3.04 ((~(X!1 = cell79)) | (~(Y!0 = cell78))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9882, 15537])).
% 3.00/3.04 tff(15539,plain,
% 3.00/3.04 ((cell13 = cell82) <=> (cell82 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15540,plain,
% 3.00/3.04 ((X!1 = cell82) <=> (cell13 = cell82)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15541,plain,
% 3.00/3.04 ((X!1 = cell82) <=> (cell82 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15540, 15539])).
% 3.00/3.04 tff(15542,plain,
% 3.00/3.04 ((cell82 = cell13) <=> (X!1 = cell82)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15541])).
% 3.00/3.04 tff(15543,plain,
% 3.00/3.04 ((~(cell82 = cell13)) <=> (~(X!1 = cell82))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15542])).
% 3.00/3.04 tff(15544,plain,
% 3.00/3.04 ((~(cell82 = cell13)) <=> (~(cell82 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15545,axiom,(~(cell82 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46443')).
% 3.00/3.04 tff(15546,plain,
% 3.00/3.04 (~(cell82 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15545, 15544])).
% 3.00/3.04 tff(15547,plain,
% 3.00/3.04 (~(X!1 = cell82)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15546, 15543])).
% 3.00/3.04 tff(15548,plain,
% 3.00/3.04 ((~(X!1 = cell82)) | (~(Y!0 = cell81))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9897, 15547])).
% 3.00/3.04 tff(15549,plain,
% 3.00/3.04 ((cell13 = cell83) <=> (cell83 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15550,plain,
% 3.00/3.04 ((X!1 = cell83) <=> (cell13 = cell83)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15551,plain,
% 3.00/3.04 ((X!1 = cell83) <=> (cell83 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15550, 15549])).
% 3.00/3.04 tff(15552,plain,
% 3.00/3.04 ((cell83 = cell13) <=> (X!1 = cell83)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15551])).
% 3.00/3.04 tff(15553,plain,
% 3.00/3.04 ((~(cell83 = cell13)) <=> (~(X!1 = cell83))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15552])).
% 3.00/3.04 tff(15554,plain,
% 3.00/3.04 ((~(cell83 = cell13)) <=> (~(cell83 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15555,axiom,(~(cell83 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46274')).
% 3.00/3.04 tff(15556,plain,
% 3.00/3.04 (~(cell83 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 3.00/3.04 tff(15557,plain,
% 3.00/3.04 (~(X!1 = cell83)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15556, 15553])).
% 3.00/3.04 tff(15558,plain,
% 3.00/3.04 ((~(X!1 = cell83)) | (~(Y!0 = cell82))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9906, 15557])).
% 3.00/3.04 tff(15559,plain,
% 3.00/3.04 ((cell13 = cell84) <=> (cell84 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15560,plain,
% 3.00/3.04 ((X!1 = cell84) <=> (cell13 = cell84)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15561,plain,
% 3.00/3.04 ((X!1 = cell84) <=> (cell84 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15560, 15559])).
% 3.00/3.04 tff(15562,plain,
% 3.00/3.04 ((cell84 = cell13) <=> (X!1 = cell84)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15561])).
% 3.00/3.04 tff(15563,plain,
% 3.00/3.04 ((~(cell84 = cell13)) <=> (~(X!1 = cell84))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15562])).
% 3.00/3.04 tff(15564,plain,
% 3.00/3.04 ((~(cell84 = cell13)) <=> (~(cell84 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15565,axiom,(~(cell84 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46188')).
% 3.00/3.04 tff(15566,plain,
% 3.00/3.04 (~(cell84 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 3.00/3.04 tff(15567,plain,
% 3.00/3.04 (~(X!1 = cell84)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15566, 15563])).
% 3.00/3.04 tff(15568,plain,
% 3.00/3.04 ((~(X!1 = cell84)) | (~(Y!0 = cell83))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9915, 15567])).
% 3.00/3.04 tff(15569,plain,
% 3.00/3.04 ((cell13 = cell85) <=> (cell85 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15570,plain,
% 3.00/3.04 ((X!1 = cell85) <=> (cell13 = cell85)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15571,plain,
% 3.00/3.04 ((X!1 = cell85) <=> (cell85 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15570, 15569])).
% 3.00/3.04 tff(15572,plain,
% 3.00/3.04 ((cell85 = cell13) <=> (X!1 = cell85)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15571])).
% 3.00/3.04 tff(15573,plain,
% 3.00/3.04 ((~(cell85 = cell13)) <=> (~(X!1 = cell85))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15572])).
% 3.00/3.04 tff(15574,plain,
% 3.00/3.04 ((~(cell85 = cell13)) <=> (~(cell85 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15575,axiom,(~(cell85 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46101')).
% 3.00/3.04 tff(15576,plain,
% 3.00/3.04 (~(cell85 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15575, 15574])).
% 3.00/3.04 tff(15577,plain,
% 3.00/3.04 (~(X!1 = cell85)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15576, 15573])).
% 3.00/3.04 tff(15578,plain,
% 3.00/3.04 ((~(X!1 = cell85)) | (~(Y!0 = cell84))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9924, 15577])).
% 3.00/3.04 tff(15579,plain,
% 3.00/3.04 ((cell13 = cell86) <=> (cell86 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15580,plain,
% 3.00/3.04 ((X!1 = cell86) <=> (cell13 = cell86)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15581,plain,
% 3.00/3.04 ((X!1 = cell86) <=> (cell86 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15580, 15579])).
% 3.00/3.04 tff(15582,plain,
% 3.00/3.04 ((cell86 = cell13) <=> (X!1 = cell86)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15581])).
% 3.00/3.04 tff(15583,plain,
% 3.00/3.04 ((~(cell86 = cell13)) <=> (~(X!1 = cell86))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15582])).
% 3.00/3.04 tff(15584,plain,
% 3.00/3.04 ((~(cell86 = cell13)) <=> (~(cell86 = cell13))),
% 3.00/3.04 inference(rewrite,[status(thm)],[])).
% 3.00/3.04 tff(15585,axiom,(~(cell86 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46013')).
% 3.00/3.04 tff(15586,plain,
% 3.00/3.04 (~(cell86 = cell13)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 3.00/3.04 tff(15587,plain,
% 3.00/3.04 (~(X!1 = cell86)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[15586, 15583])).
% 3.00/3.04 tff(15588,plain,
% 3.00/3.04 ((~(X!1 = cell86)) | (~(Y!0 = cell85))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9933, 15587])).
% 3.00/3.04 tff(15589,plain,
% 3.00/3.04 ((~(X!1 = cell87)) | (~(Y!0 = cell86))),
% 3.00/3.04 inference(unit_resolution,[status(thm)],[9942, 15036])).
% 3.00/3.04 tff(15590,plain,
% 3.00/3.04 ((cell13 = cell88) <=> (cell88 = cell13)),
% 3.00/3.04 inference(commutativity,[status(thm)],[])).
% 3.00/3.04 tff(15591,plain,
% 3.00/3.04 ((X!1 = cell88) <=> (cell13 = cell88)),
% 3.00/3.04 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.04 tff(15592,plain,
% 3.00/3.04 ((X!1 = cell88) <=> (cell88 = cell13)),
% 3.00/3.04 inference(transitivity,[status(thm)],[15591, 15590])).
% 3.00/3.04 tff(15593,plain,
% 3.00/3.04 ((cell88 = cell13) <=> (X!1 = cell88)),
% 3.00/3.04 inference(symmetry,[status(thm)],[15592])).
% 3.00/3.04 tff(15594,plain,
% 3.00/3.04 ((~(cell88 = cell13)) <=> (~(X!1 = cell88))),
% 3.00/3.04 inference(monotonicity,[status(thm)],[15593])).
% 3.00/3.04 tff(15595,plain,
% 3.00/3.04 (~(X!1 = cell88)),
% 3.00/3.04 inference(modus_ponens,[status(thm)],[3825, 15594])).
% 3.00/3.05 tff(15596,plain,
% 3.00/3.05 ((~(X!1 = cell88)) | (~(Y!0 = cell87))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9300, 15595])).
% 3.00/3.05 tff(15597,plain,
% 3.00/3.05 ((cell13 = cell89) <=> (cell89 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15598,plain,
% 3.00/3.05 ((X!1 = cell89) <=> (cell13 = cell89)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15599,plain,
% 3.00/3.05 ((X!1 = cell89) <=> (cell89 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15598, 15597])).
% 3.00/3.05 tff(15600,plain,
% 3.00/3.05 ((cell89 = cell13) <=> (X!1 = cell89)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15599])).
% 3.00/3.05 tff(15601,plain,
% 3.00/3.05 ((~(cell89 = cell13)) <=> (~(X!1 = cell89))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15600])).
% 3.00/3.05 tff(15602,plain,
% 3.00/3.05 (~(X!1 = cell89)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[2647, 15601])).
% 3.00/3.05 tff(15603,plain,
% 3.00/3.05 ((~(X!1 = cell89)) | (~(Y!0 = cell88))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9305, 15602])).
% 3.00/3.05 tff(15604,plain,
% 3.00/3.05 ((cell13 = cell92) <=> (cell92 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15605,plain,
% 3.00/3.05 ((X!1 = cell92) <=> (cell13 = cell92)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15606,plain,
% 3.00/3.05 ((X!1 = cell92) <=> (cell92 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15605, 15604])).
% 3.00/3.05 tff(15607,plain,
% 3.00/3.05 ((cell92 = cell13) <=> (X!1 = cell92)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15606])).
% 3.00/3.05 tff(15608,plain,
% 3.00/3.05 ((~(cell92 = cell13)) <=> (~(X!1 = cell92))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15607])).
% 3.00/3.05 tff(15609,plain,
% 3.00/3.05 ((~(cell92 = cell13)) <=> (~(cell92 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15610,axiom,(~(cell92 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45834')).
% 3.00/3.05 tff(15611,plain,
% 3.00/3.05 (~(cell92 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 3.00/3.05 tff(15612,plain,
% 3.00/3.05 (~(X!1 = cell92)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15611, 15608])).
% 3.00/3.05 tff(15613,plain,
% 3.00/3.05 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9946, 15612])).
% 3.00/3.05 tff(15614,plain,
% 3.00/3.05 ((cell13 = cell93) <=> (cell93 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15615,plain,
% 3.00/3.05 ((X!1 = cell93) <=> (cell13 = cell93)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15616,plain,
% 3.00/3.05 ((X!1 = cell93) <=> (cell93 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15615, 15614])).
% 3.00/3.05 tff(15617,plain,
% 3.00/3.05 ((cell93 = cell13) <=> (X!1 = cell93)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15616])).
% 3.00/3.05 tff(15618,plain,
% 3.00/3.05 ((~(cell93 = cell13)) <=> (~(X!1 = cell93))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15617])).
% 3.00/3.05 tff(15619,plain,
% 3.00/3.05 ((~(cell93 = cell13)) <=> (~(cell93 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15620,axiom,(~(cell93 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45651')).
% 3.00/3.05 tff(15621,plain,
% 3.00/3.05 (~(cell93 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15620, 15619])).
% 3.00/3.05 tff(15622,plain,
% 3.00/3.05 (~(X!1 = cell93)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15621, 15618])).
% 3.00/3.05 tff(15623,plain,
% 3.00/3.05 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9948, 15622])).
% 3.00/3.05 tff(15624,plain,
% 3.00/3.05 ((cell13 = cell94) <=> (cell94 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15625,plain,
% 3.00/3.05 ((X!1 = cell94) <=> (cell13 = cell94)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15626,plain,
% 3.00/3.05 ((X!1 = cell94) <=> (cell94 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15625, 15624])).
% 3.00/3.05 tff(15627,plain,
% 3.00/3.05 ((cell94 = cell13) <=> (X!1 = cell94)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15626])).
% 3.00/3.05 tff(15628,plain,
% 3.00/3.05 ((~(cell94 = cell13)) <=> (~(X!1 = cell94))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15627])).
% 3.00/3.05 tff(15629,plain,
% 3.00/3.05 ((~(cell94 = cell13)) <=> (~(cell94 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15630,axiom,(~(cell94 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45558')).
% 3.00/3.05 tff(15631,plain,
% 3.00/3.05 (~(cell94 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15630, 15629])).
% 3.00/3.05 tff(15632,plain,
% 3.00/3.05 (~(X!1 = cell94)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15631, 15628])).
% 3.00/3.05 tff(15633,plain,
% 3.00/3.05 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9950, 15632])).
% 3.00/3.05 tff(15634,plain,
% 3.00/3.05 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9952, 14886])).
% 3.00/3.05 tff(15635,plain,
% 3.00/3.05 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9954, 14956])).
% 3.00/3.05 tff(15636,plain,
% 3.00/3.05 ((cell13 = cell97) <=> (cell97 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15637,plain,
% 3.00/3.05 ((X!1 = cell97) <=> (cell13 = cell97)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15638,plain,
% 3.00/3.05 ((X!1 = cell97) <=> (cell97 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15637, 15636])).
% 3.00/3.05 tff(15639,plain,
% 3.00/3.05 ((cell97 = cell13) <=> (X!1 = cell97)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15638])).
% 3.00/3.05 tff(15640,plain,
% 3.00/3.05 ((~(cell97 = cell13)) <=> (~(X!1 = cell97))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15639])).
% 3.00/3.05 tff(15641,plain,
% 3.00/3.05 ((~(cell97 = cell13)) <=> (~(cell97 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15642,axiom,(~(cell97 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45273')).
% 3.00/3.05 tff(15643,plain,
% 3.00/3.05 (~(cell97 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 3.00/3.05 tff(15644,plain,
% 3.00/3.05 (~(X!1 = cell97)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15643, 15640])).
% 3.00/3.05 tff(15645,plain,
% 3.00/3.05 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9956, 15644])).
% 3.00/3.05 tff(15646,plain,
% 3.00/3.05 ((cell13 = cell98) <=> (cell98 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15647,plain,
% 3.00/3.05 ((X!1 = cell98) <=> (cell13 = cell98)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15648,plain,
% 3.00/3.05 ((X!1 = cell98) <=> (cell98 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15647, 15646])).
% 3.00/3.05 tff(15649,plain,
% 3.00/3.05 ((cell98 = cell13) <=> (X!1 = cell98)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15648])).
% 3.00/3.05 tff(15650,plain,
% 3.00/3.05 ((~(cell98 = cell13)) <=> (~(X!1 = cell98))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15649])).
% 3.00/3.05 tff(15651,plain,
% 3.00/3.05 (~(X!1 = cell98)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[5714, 15650])).
% 3.00/3.05 tff(15652,plain,
% 3.00/3.05 ((~(X!1 = cell98)) | (~(Y!0 = cell97))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9961, 15651])).
% 3.00/3.05 tff(15653,plain,
% 3.00/3.05 ((cell13 = cell99) <=> (cell99 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15654,plain,
% 3.00/3.05 ((X!1 = cell99) <=> (cell13 = cell99)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15655,plain,
% 3.00/3.05 ((X!1 = cell99) <=> (cell99 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15654, 15653])).
% 3.00/3.05 tff(15656,plain,
% 3.00/3.05 ((cell99 = cell13) <=> (X!1 = cell99)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15655])).
% 3.00/3.05 tff(15657,plain,
% 3.00/3.05 ((~(cell99 = cell13)) <=> (~(X!1 = cell99))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15656])).
% 3.00/3.05 tff(15658,plain,
% 3.00/3.05 (~(X!1 = cell99)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[4020, 15657])).
% 3.00/3.05 tff(15659,plain,
% 3.00/3.05 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9963, 15658])).
% 3.00/3.05 tff(15660,plain,
% 3.00/3.05 ((~(X!1 = cell97)) | (~(Y!0 = cell87))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9965, 15644])).
% 3.00/3.05 tff(15661,plain,
% 3.00/3.05 ((cell12 = X!1) <=> (cell12 = cell13)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15662,plain,
% 3.00/3.05 ((cell12 = cell13) <=> (cell12 = X!1)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15661])).
% 3.00/3.05 tff(15663,plain,
% 3.00/3.05 ((cell12 = cell13) <=> (X!1 = cell12)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15662, 1219])).
% 3.00/3.05 tff(15664,plain,
% 3.00/3.05 ((~(cell12 = cell13)) <=> (~(X!1 = cell12))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15663])).
% 3.00/3.05 tff(15665,plain,
% 3.00/3.05 (~(X!1 = cell12)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[2801, 15664])).
% 3.00/3.05 tff(15666,plain,
% 3.00/3.05 ((~(X!1 = cell12)) | (~(Y!0 = cell11))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9283, 15665])).
% 3.00/3.05 tff(15667,plain,
% 3.00/3.05 ((cell13 = cell14) <=> (cell14 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15668,plain,
% 3.00/3.05 ((X!1 = cell14) <=> (cell13 = cell14)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15669,plain,
% 3.00/3.05 ((X!1 = cell14) <=> (cell14 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15668, 15667])).
% 3.00/3.05 tff(15670,plain,
% 3.00/3.05 ((cell14 = cell13) <=> (X!1 = cell14)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15669])).
% 3.00/3.05 tff(15671,plain,
% 3.00/3.05 ((~(cell14 = cell13)) <=> (~(X!1 = cell14))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15670])).
% 3.00/3.05 tff(15672,plain,
% 3.00/3.05 ((~(cell14 = cell13)) <=> (~(cell14 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15673,axiom,(~(cell14 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49758')).
% 3.00/3.05 tff(15674,plain,
% 3.00/3.05 (~(cell14 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 3.00/3.05 tff(15675,plain,
% 3.00/3.05 (~(X!1 = cell14)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15674, 15671])).
% 3.00/3.05 tff(15676,plain,
% 3.00/3.05 ((~(X!1 = cell14)) | (~(Y!0 = cell4))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9975, 15675])).
% 3.00/3.05 tff(15677,plain,
% 3.00/3.05 ((~(X!1 = cell15)) | (~(Y!0 = cell5))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9977, 14976])).
% 3.00/3.05 tff(15678,plain,
% 3.00/3.05 ((~(X!1 = cell16)) | (~(Y!0 = cell6))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9979, 14986])).
% 3.00/3.05 tff(15679,plain,
% 3.00/3.05 ((~(X!1 = cell17)) | (~(Y!0 = cell7))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9981, 14996])).
% 3.00/3.05 tff(15680,plain,
% 3.00/3.05 ((~(X!1 = cell18)) | (~(Y!0 = cell8))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9983, 15006])).
% 3.00/3.05 tff(15681,plain,
% 3.00/3.05 ((~(X!1 = cell19)) | (~(Y!0 = cell9))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9985, 15016])).
% 3.00/3.05 tff(15682,plain,
% 3.00/3.05 ((~(X!1 = cell20)) | (~(Y!0 = cell10))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9987, 15026])).
% 3.00/3.05 tff(15683,plain,
% 3.00/3.05 ((cell13 = cell21) <=> (cell21 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15684,plain,
% 3.00/3.05 ((X!1 = cell21) <=> (cell13 = cell21)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15685,plain,
% 3.00/3.05 ((X!1 = cell21) <=> (cell21 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15684, 15683])).
% 3.00/3.05 tff(15686,plain,
% 3.00/3.05 ((cell21 = cell13) <=> (X!1 = cell21)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15685])).
% 3.00/3.05 tff(15687,plain,
% 3.00/3.05 ((~(cell21 = cell13)) <=> (~(X!1 = cell21))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15686])).
% 3.00/3.05 tff(15688,plain,
% 3.00/3.05 ((~(cell21 = cell13)) <=> (~(cell21 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15689,axiom,(~(cell21 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49604')).
% 3.00/3.05 tff(15690,plain,
% 3.00/3.05 (~(cell21 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 3.00/3.05 tff(15691,plain,
% 3.00/3.05 (~(X!1 = cell21)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15690, 15687])).
% 3.00/3.05 tff(15692,plain,
% 3.00/3.05 ((~(X!1 = cell21)) | (~(Y!0 = cell11))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[9997, 15691])).
% 3.00/3.05 tff(15693,plain,
% 3.00/3.05 ((cell13 = cell91) <=> (cell91 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15694,plain,
% 3.00/3.05 ((X!1 = cell91) <=> (cell13 = cell91)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15695,plain,
% 3.00/3.05 ((X!1 = cell91) <=> (cell91 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15694, 15693])).
% 3.00/3.05 tff(15696,plain,
% 3.00/3.05 ((cell91 = cell13) <=> (X!1 = cell91)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15695])).
% 3.00/3.05 tff(15697,plain,
% 3.00/3.05 ((~(cell91 = cell13)) <=> (~(X!1 = cell91))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15696])).
% 3.00/3.05 tff(15698,plain,
% 3.00/3.05 ((~(cell91 = cell13)) <=> (~(cell91 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15699,axiom,(~(cell91 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45743')).
% 3.00/3.05 tff(15700,plain,
% 3.00/3.05 (~(cell91 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15699, 15698])).
% 3.00/3.05 tff(15701,plain,
% 3.00/3.05 (~(X!1 = cell91)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15700, 15697])).
% 3.00/3.05 tff(15702,plain,
% 3.00/3.05 ((~(X!1 = cell91)) | (~(Y!0 = cell81))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10176, 15701])).
% 3.00/3.05 tff(15703,plain,
% 3.00/3.05 ((~(X!1 = cell24)) | (~(Y!0 = cell14))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10001, 15046])).
% 3.00/3.05 tff(15704,plain,
% 3.00/3.05 ((~(X!1 = cell25)) | (~(Y!0 = cell15))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10003, 15056])).
% 3.00/3.05 tff(15705,plain,
% 3.00/3.05 ((~(X!1 = cell26)) | (~(Y!0 = cell16))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10005, 15066])).
% 3.00/3.05 tff(15706,plain,
% 3.00/3.05 ((~(X!1 = cell27)) | (~(Y!0 = cell17))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10007, 15076])).
% 3.00/3.05 tff(15707,plain,
% 3.00/3.05 ((~(X!1 = cell28)) | (~(Y!0 = cell18))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10009, 15086])).
% 3.00/3.05 tff(15708,plain,
% 3.00/3.05 ((~(X!1 = cell29)) | (~(Y!0 = cell19))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10011, 15096])).
% 3.00/3.05 tff(15709,plain,
% 3.00/3.05 ((~(X!1 = cell30)) | (~(Y!0 = cell20))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10013, 15106])).
% 3.00/3.05 tff(15710,plain,
% 3.00/3.05 ((cell13 = cell31) <=> (cell31 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15711,plain,
% 3.00/3.05 ((X!1 = cell31) <=> (cell13 = cell31)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15712,plain,
% 3.00/3.05 ((X!1 = cell31) <=> (cell31 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15711, 15710])).
% 3.00/3.05 tff(15713,plain,
% 3.00/3.05 ((cell31 = cell13) <=> (X!1 = cell31)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15712])).
% 3.00/3.05 tff(15714,plain,
% 3.00/3.05 ((~(cell31 = cell13)) <=> (~(X!1 = cell31))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15713])).
% 3.00/3.05 tff(15715,plain,
% 3.00/3.05 ((~(cell31 = cell13)) <=> (~(cell31 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15716,axiom,(~(cell31 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49299')).
% 3.00/3.05 tff(15717,plain,
% 3.00/3.05 (~(cell31 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15716, 15715])).
% 3.00/3.05 tff(15718,plain,
% 3.00/3.05 (~(X!1 = cell31)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15717, 15714])).
% 3.00/3.05 tff(15719,plain,
% 3.00/3.05 ((~(X!1 = cell31)) | (~(Y!0 = cell21))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10022, 15718])).
% 3.00/3.05 tff(15720,plain,
% 3.00/3.05 ((~(X!1 = cell33)) | (~(Y!0 = cell23))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10024, 15126])).
% 3.00/3.05 tff(15721,plain,
% 3.00/3.05 ((~(X!1 = cell34)) | (~(Y!0 = cell24))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10026, 15136])).
% 3.00/3.05 tff(15722,plain,
% 3.00/3.05 ((~(X!1 = cell35)) | (~(Y!0 = cell25))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10028, 15146])).
% 3.00/3.05 tff(15723,plain,
% 3.00/3.05 ((~(X!1 = cell36)) | (~(Y!0 = cell26))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10030, 15156])).
% 3.00/3.05 tff(15724,plain,
% 3.00/3.05 ((~(X!1 = cell37)) | (~(Y!0 = cell27))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10032, 15166])).
% 3.00/3.05 tff(15725,plain,
% 3.00/3.05 ((~(X!1 = cell38)) | (~(Y!0 = cell28))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10034, 15176])).
% 3.00/3.05 tff(15726,plain,
% 3.00/3.05 ((~(X!1 = cell39)) | (~(Y!0 = cell29))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10036, 15186])).
% 3.00/3.05 tff(15727,plain,
% 3.00/3.05 ((~(X!1 = cell40)) | (~(Y!0 = cell30))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10038, 15196])).
% 3.00/3.05 tff(15728,plain,
% 3.00/3.05 ((cell13 = cell41) <=> (cell41 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15729,plain,
% 3.00/3.05 ((X!1 = cell41) <=> (cell13 = cell41)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15730,plain,
% 3.00/3.05 ((X!1 = cell41) <=> (cell41 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15729, 15728])).
% 3.00/3.05 tff(15731,plain,
% 3.00/3.05 ((cell41 = cell13) <=> (X!1 = cell41)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15730])).
% 3.00/3.05 tff(15732,plain,
% 3.00/3.05 ((~(cell41 = cell13)) <=> (~(X!1 = cell41))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15731])).
% 3.00/3.05 tff(15733,plain,
% 3.00/3.05 ((~(cell41 = cell13)) <=> (~(cell41 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15734,axiom,(~(cell41 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48894')).
% 3.00/3.05 tff(15735,plain,
% 3.00/3.05 (~(cell41 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15734, 15733])).
% 3.00/3.05 tff(15736,plain,
% 3.00/3.05 (~(X!1 = cell41)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15735, 15732])).
% 3.00/3.05 tff(15737,plain,
% 3.00/3.05 ((~(X!1 = cell41)) | (~(Y!0 = cell31))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10047, 15736])).
% 3.00/3.05 tff(15738,plain,
% 3.00/3.05 ((~(X!1 = cell42)) | (~(Y!0 = cell32))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10049, 15206])).
% 3.00/3.05 tff(15739,plain,
% 3.00/3.05 ((~(X!1 = cell43)) | (~(Y!0 = cell33))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10051, 15216])).
% 3.00/3.05 tff(15740,plain,
% 3.00/3.05 ((~(X!1 = cell44)) | (~(Y!0 = cell34))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10053, 15226])).
% 3.00/3.05 tff(15741,plain,
% 3.00/3.05 ((~(X!1 = cell45)) | (~(Y!0 = cell35))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10055, 15236])).
% 3.00/3.05 tff(15742,plain,
% 3.00/3.05 ((~(X!1 = cell46)) | (~(Y!0 = cell36))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10057, 15246])).
% 3.00/3.05 tff(15743,plain,
% 3.00/3.05 ((~(X!1 = cell47)) | (~(Y!0 = cell37))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10059, 15256])).
% 3.00/3.05 tff(15744,plain,
% 3.00/3.05 ((~(X!1 = cell48)) | (~(Y!0 = cell38))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10061, 15266])).
% 3.00/3.05 tff(15745,plain,
% 3.00/3.05 ((~(X!1 = cell49)) | (~(Y!0 = cell39))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10063, 15276])).
% 3.00/3.05 tff(15746,plain,
% 3.00/3.05 ((~(X!1 = cell50)) | (~(Y!0 = cell40))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10065, 15286])).
% 3.00/3.05 tff(15747,plain,
% 3.00/3.05 ((cell13 = cell51) <=> (cell51 = cell13)),
% 3.00/3.05 inference(commutativity,[status(thm)],[])).
% 3.00/3.05 tff(15748,plain,
% 3.00/3.05 ((X!1 = cell51) <=> (cell13 = cell51)),
% 3.00/3.05 inference(monotonicity,[status(thm)],[14878])).
% 3.00/3.05 tff(15749,plain,
% 3.00/3.05 ((X!1 = cell51) <=> (cell51 = cell13)),
% 3.00/3.05 inference(transitivity,[status(thm)],[15748, 15747])).
% 3.00/3.05 tff(15750,plain,
% 3.00/3.05 ((cell51 = cell13) <=> (X!1 = cell51)),
% 3.00/3.05 inference(symmetry,[status(thm)],[15749])).
% 3.00/3.05 tff(15751,plain,
% 3.00/3.05 ((~(cell51 = cell13)) <=> (~(X!1 = cell51))),
% 3.00/3.05 inference(monotonicity,[status(thm)],[15750])).
% 3.00/3.05 tff(15752,plain,
% 3.00/3.05 ((~(cell51 = cell13)) <=> (~(cell51 = cell13))),
% 3.00/3.05 inference(rewrite,[status(thm)],[])).
% 3.00/3.05 tff(15753,axiom,(~(cell51 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48389')).
% 3.00/3.05 tff(15754,plain,
% 3.00/3.05 (~(cell51 = cell13)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15753, 15752])).
% 3.00/3.05 tff(15755,plain,
% 3.00/3.05 (~(X!1 = cell51)),
% 3.00/3.05 inference(modus_ponens,[status(thm)],[15754, 15751])).
% 3.00/3.05 tff(15756,plain,
% 3.00/3.05 ((~(X!1 = cell51)) | (~(Y!0 = cell41))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10074, 15755])).
% 3.00/3.05 tff(15757,plain,
% 3.00/3.05 ((~(X!1 = cell52)) | (~(Y!0 = cell42))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10076, 15296])).
% 3.00/3.05 tff(15758,plain,
% 3.00/3.05 ((~(X!1 = cell53)) | (~(Y!0 = cell43))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10078, 15306])).
% 3.00/3.05 tff(15759,plain,
% 3.00/3.05 ((~(X!1 = cell54)) | (~(Y!0 = cell44))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10080, 15316])).
% 3.00/3.05 tff(15760,plain,
% 3.00/3.05 ((~(X!1 = cell55)) | (~(Y!0 = cell45))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10082, 15326])).
% 3.00/3.05 tff(15761,plain,
% 3.00/3.05 ((~(X!1 = cell56)) | (~(Y!0 = cell46))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10084, 15336])).
% 3.00/3.05 tff(15762,plain,
% 3.00/3.05 ((~(X!1 = cell57)) | (~(Y!0 = cell47))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10086, 15346])).
% 3.00/3.05 tff(15763,plain,
% 3.00/3.05 ((~(X!1 = cell58)) | (~(Y!0 = cell48))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10088, 15356])).
% 3.00/3.05 tff(15764,plain,
% 3.00/3.05 ((~(X!1 = cell59)) | (~(Y!0 = cell49))),
% 3.00/3.05 inference(unit_resolution,[status(thm)],[10090, 15366])).
% 3.00/3.05 tff(15765,plain,
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% 3.00/3.07 inference(rewrite,[status(thm)],[])).
% 3.00/3.07 tff(15843,plain,
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% 3.00/3.08 inference(rewrite,[status(thm)],[])).
% 3.00/3.08 tff(15844,plain,
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% 3.00/3.10 inference(monotonicity,[status(thm)],[15843])).
% 3.00/3.10 tff(15845,plain,
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% 3.00/3.12 inference(transitivity,[status(thm)],[15844, 15842])).
% 3.00/3.12 tff(15846,plain,
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% 3.09/3.13 inference(modus_ponens,[status(thm)],[15846, 15845])).
% 3.09/3.13 tff(15848,plain,
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% 3.09/3.14 inference(unit_resolution,[status(thm)],[15847, 1208])).
% 3.09/3.14 tff(15849,plain,
% 3.09/3.14 (cell13 = X!1),
% 3.09/3.14 inference(symmetry,[status(thm)],[14962])).
% 3.09/3.14 tff(15850,plain,
% 3.09/3.14 (edge(cell13, Y!0) <=> edge(X!1, Y!0)),
% 3.09/3.14 inference(monotonicity,[status(thm)],[15849])).
% 3.09/3.14 tff(15851,plain,
% 3.09/3.14 (edge(X!1, Y!0) <=> edge(cell13, Y!0)),
% 3.09/3.14 inference(symmetry,[status(thm)],[15850])).
% 3.09/3.14 tff(15852,assumption,(~((~((~(X!1 = cell100)) | (~(Y!0 = cell90)))) | (~((~(X!1 = cell99)) | (~(Y!0 = cell89)))) | (~((~(X!1 = cell98)) | (~(Y!0 = cell88)))) | (~((~(X!1 = cell97)) | (~(Y!0 = cell87)))) | (~((~(X!1 = cell96)) | (~(Y!0 = cell86)))) | (~((~(X!1 = cell95)) | (~(Y!0 = cell85)))) | (~((~(X!1 = cell94)) | (~(Y!0 = cell84)))) | (~((~(X!1 = cell93)) | (~(Y!0 = cell83)))) | (~((~(X!1 = cell92)) | (~(Y!0 = cell82)))) | (~((~(X!1 = cell91)) | (~(Y!0 = cell81)))) | (~((~(X!1 = cell90)) | (~(Y!0 = cell80)))) | (~((~(X!1 = cell89)) | (~(Y!0 = cell79)))) | (~((~(X!1 = cell88)) | (~(Y!0 = cell78)))) | (~((~(X!1 = cell87)) | (~(Y!0 = cell77)))) | (~((~(X!1 = cell86)) | (~(Y!0 = cell76)))) | (~((~(X!1 = cell85)) | (~(Y!0 = cell75)))) | (~((~(X!1 = cell84)) | (~(Y!0 = cell74)))) | (~((~(X!1 = cell83)) | (~(Y!0 = cell73)))) | (~((~(X!1 = cell82)) | (~(Y!0 = cell72)))) | (~((~(X!1 = cell81)) | (~(Y!0 = cell71)))) | (~((~(X!1 = cell80)) | (~(Y!0 = cell70)))) | (~((~(X!1 = 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% 3.09/3.14 tff(15853,plain,
% 3.09/3.14 (~edge(Y!0, X!1)),
% 3.09/3.14 inference(unit_resolution,[status(thm)],[13440, 15852])).
% 3.09/3.14 tff(15854,plain,
% 3.09/3.14 (edge(X!1, Y!0)),
% 3.09/3.14 inference(unit_resolution,[status(thm)],[2705, 15853])).
% 3.09/3.14 tff(15855,plain,
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% 3.09/3.16 inference(tautology,[status(thm)],[])).
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% 3.09/3.16 ((~(Y!0 = cell18)) | (~(cell13 = cell17))),
% 3.09/3.16 inference(unit_resolution,[status(thm)],[15919, 15918])).
% 3.09/3.16 tff(15921,plain,
% 3.09/3.16 ((cell18 = cell13) <=> (cell13 = cell18)),
% 3.09/3.16 inference(symmetry,[status(thm)],[14998])).
% 3.09/3.16 tff(15922,plain,
% 3.09/3.16 ((~(cell18 = cell13)) <=> (~(cell13 = cell18))),
% 3.09/3.16 inference(monotonicity,[status(thm)],[15921])).
% 3.09/3.16 tff(15923,plain,
% 3.09/3.16 (~(cell13 = cell18)),
% 3.09/3.16 inference(modus_ponens,[status(thm)],[15005, 15922])).
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% 3.09/3.16 (((~(Y!0 = cell19)) | (~(cell13 = cell18))) | (cell13 = cell18)),
% 3.09/3.16 inference(tautology,[status(thm)],[])).
% 3.09/3.16 tff(15925,plain,
% 3.09/3.16 ((~(Y!0 = cell19)) | (~(cell13 = cell18))),
% 3.09/3.16 inference(unit_resolution,[status(thm)],[15924, 15923])).
% 3.09/3.16 tff(15926,plain,
% 3.09/3.16 ((cell19 = cell13) <=> (cell13 = cell19)),
% 3.09/3.16 inference(symmetry,[status(thm)],[15008])).
% 3.09/3.16 tff(15927,plain,
% 3.09/3.16 ((~(cell19 = cell13)) <=> (~(cell13 = cell19))),
% 3.09/3.16 inference(monotonicity,[status(thm)],[15926])).
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% 3.09/3.16 (~(cell13 = cell19)),
% 3.09/3.16 inference(modus_ponens,[status(thm)],[15015, 15927])).
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% 3.09/3.16 (((~(Y!0 = cell20)) | (~(cell13 = cell19))) | (cell13 = cell19)),
% 3.09/3.16 inference(tautology,[status(thm)],[])).
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% 3.09/3.16 ((~(Y!0 = cell20)) | (~(cell13 = cell19))),
% 3.09/3.16 inference(unit_resolution,[status(thm)],[15929, 15928])).
% 3.09/3.16 tff(15931,plain,
% 3.09/3.16 ((cell13 = cell23) <=> (cell23 = cell13)),
% 3.09/3.16 inference(commutativity,[status(thm)],[])).
% 3.09/3.16 tff(15932,plain,
% 3.09/3.16 ((cell23 = cell13) <=> (cell13 = cell23)),
% 3.09/3.16 inference(symmetry,[status(thm)],[15931])).
% 3.09/3.16 tff(15933,plain,
% 3.09/3.16 ((~(cell23 = cell13)) <=> (~(cell13 = cell23))),
% 3.09/3.16 inference(monotonicity,[status(thm)],[15932])).
% 3.09/3.16 tff(15934,plain,
% 3.09/3.16 ((~(cell23 = cell13)) <=> (~(cell23 = cell13))),
% 3.09/3.16 inference(rewrite,[status(thm)],[])).
% 3.09/3.16 tff(15935,axiom,(~(cell23 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49578')).
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% 3.09/3.16 (~(cell23 = cell13)),
% 3.09/3.16 inference(modus_ponens,[status(thm)],[15935, 15934])).
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% 3.09/3.16 (~(cell13 = cell23)),
% 3.09/3.16 inference(modus_ponens,[status(thm)],[15936, 15933])).
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% 3.09/3.16 (((~(Y!0 = cell24)) | (~(cell13 = cell23))) | (cell13 = cell23)),
% 3.09/3.16 inference(tautology,[status(thm)],[])).
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% 3.09/3.16 ((~(Y!0 = cell24)) | (~(cell13 = cell23))),
% 3.09/3.16 inference(unit_resolution,[status(thm)],[15938, 15937])).
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% 3.09/3.16 ((cell24 = cell13) <=> (cell13 = cell24)),
% 3.09/3.16 inference(symmetry,[status(thm)],[15038])).
% 3.09/3.16 tff(15941,plain,
% 3.09/3.16 ((~(cell24 = cell13)) <=> (~(cell13 = cell24))),
% 3.09/3.16 inference(monotonicity,[status(thm)],[15940])).
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% 3.09/3.16 (~(cell13 = cell24)),
% 3.09/3.16 inference(modus_ponens,[status(thm)],[15045, 15941])).
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% 3.09/3.16 (((~(Y!0 = cell25)) | (~(cell13 = cell24))) | (cell13 = cell24)),
% 3.09/3.16 inference(tautology,[status(thm)],[])).
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% 3.09/3.16 inference(unit_resolution,[status(thm)],[15943, 15942])).
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% 3.09/3.16 ((cell25 = cell13) <=> (cell13 = cell25)),
% 3.09/3.16 inference(symmetry,[status(thm)],[15048])).
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% 3.09/3.16 ((~(cell25 = cell13)) <=> (~(cell13 = cell25))),
% 3.09/3.16 inference(monotonicity,[status(thm)],[15945])).
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% 3.09/3.16 (~(cell13 = cell25)),
% 3.09/3.16 inference(modus_ponens,[status(thm)],[15055, 15946])).
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% 3.09/3.16 inference(tautology,[status(thm)],[])).
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% 3.09/3.16 inference(unit_resolution,[status(thm)],[15948, 15947])).
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% 3.09/3.16 ((cell26 = cell13) <=> (cell13 = cell26)),
% 3.09/3.16 inference(symmetry,[status(thm)],[15058])).
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% 3.09/3.16 ((~(cell26 = cell13)) <=> (~(cell13 = cell26))),
% 3.09/3.16 inference(monotonicity,[status(thm)],[15950])).
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% 3.09/3.16 inference(modus_ponens,[status(thm)],[15065, 15951])).
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% 3.09/3.16 inference(tautology,[status(thm)],[])).
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% 3.09/3.16 inference(unit_resolution,[status(thm)],[15953, 15952])).
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% 3.09/3.16 ((cell27 = cell13) <=> (cell13 = cell27)),
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% 3.09/3.16 inference(monotonicity,[status(thm)],[15955])).
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% 3.09/3.16 inference(modus_ponens,[status(thm)],[15075, 15956])).
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% 3.09/3.16 inference(unit_resolution,[status(thm)],[15958, 15957])).
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% 3.09/3.16 ((cell28 = cell13) <=> (cell13 = cell28)),
% 3.09/3.16 inference(symmetry,[status(thm)],[15078])).
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% 3.09/3.17 ((~(cell28 = cell13)) <=> (~(cell13 = cell28))),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15085, 15961])).
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% 3.09/3.17 inference(tautology,[status(thm)],[])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[15963, 15962])).
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% 3.09/3.17 ((cell29 = cell13) <=> (cell13 = cell29)),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15095, 15966])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[15968, 15967])).
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% 3.09/3.17 ((cell31 = cell13) <=> (cell13 = cell31)),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15717, 15971])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[15973, 15972])).
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% 3.09/3.17 ((cell32 = cell13) <=> (cell13 = cell32)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15108])).
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% 3.09/3.17 ((~(cell32 = cell13)) <=> (~(cell13 = cell32))),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15115, 15976])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[15978, 15977])).
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% 3.09/3.17 ((cell33 = cell13) <=> (cell13 = cell33)),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15125, 15981])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[15983, 15982])).
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% 3.09/3.17 ((cell34 = cell13) <=> (cell13 = cell34)),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15225, 16031])).
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% 3.09/3.17 (((~(Y!0 = cell45)) | (~(cell13 = cell44))) | (cell13 = cell44)),
% 3.09/3.17 inference(tautology,[status(thm)],[])).
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% 3.09/3.17 ((~(Y!0 = cell45)) | (~(cell13 = cell44))),
% 3.09/3.17 inference(unit_resolution,[status(thm)],[16033, 16032])).
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% 3.09/3.17 ((cell45 = cell13) <=> (cell13 = cell45)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15228])).
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% 3.09/3.17 ((~(cell45 = cell13)) <=> (~(cell13 = cell45))),
% 3.09/3.17 inference(monotonicity,[status(thm)],[16035])).
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% 3.09/3.17 (~(cell13 = cell45)),
% 3.09/3.17 inference(modus_ponens,[status(thm)],[15235, 16036])).
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% 3.09/3.17 (((~(Y!0 = cell46)) | (~(cell13 = cell45))) | (cell13 = cell45)),
% 3.09/3.17 inference(tautology,[status(thm)],[])).
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% 3.09/3.17 ((~(Y!0 = cell46)) | (~(cell13 = cell45))),
% 3.09/3.17 inference(unit_resolution,[status(thm)],[16038, 16037])).
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% 3.09/3.17 ((cell46 = cell13) <=> (cell13 = cell46)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15238])).
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% 3.09/3.17 ((~(cell46 = cell13)) <=> (~(cell13 = cell46))),
% 3.09/3.17 inference(monotonicity,[status(thm)],[16040])).
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% 3.09/3.17 (~(cell13 = cell46)),
% 3.09/3.17 inference(modus_ponens,[status(thm)],[15245, 16041])).
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% 3.09/3.17 (((~(Y!0 = cell47)) | (~(cell13 = cell46))) | (cell13 = cell46)),
% 3.09/3.17 inference(tautology,[status(thm)],[])).
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% 3.09/3.17 ((~(Y!0 = cell47)) | (~(cell13 = cell46))),
% 3.09/3.17 inference(unit_resolution,[status(thm)],[16043, 16042])).
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% 3.09/3.17 ((cell47 = cell13) <=> (cell13 = cell47)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15248])).
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% 3.09/3.17 ((~(cell47 = cell13)) <=> (~(cell13 = cell47))),
% 3.09/3.17 inference(monotonicity,[status(thm)],[16045])).
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15255, 16046])).
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% 3.09/3.17 (((~(Y!0 = cell48)) | (~(cell13 = cell47))) | (cell13 = cell47)),
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16048, 16047])).
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% 3.09/3.17 ((cell48 = cell13) <=> (cell13 = cell48)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15258])).
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% 3.09/3.17 ((~(cell48 = cell13)) <=> (~(cell13 = cell48))),
% 3.09/3.17 inference(monotonicity,[status(thm)],[16050])).
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% 3.09/3.17 (~(cell13 = cell48)),
% 3.09/3.17 inference(modus_ponens,[status(thm)],[15265, 16051])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16053, 16052])).
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% 3.09/3.17 ((cell49 = cell13) <=> (cell13 = cell49)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15268])).
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% 3.09/3.17 ((~(cell49 = cell13)) <=> (~(cell13 = cell49))),
% 3.09/3.17 inference(monotonicity,[status(thm)],[16055])).
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% 3.09/3.17 (~(cell13 = cell49)),
% 3.09/3.17 inference(modus_ponens,[status(thm)],[15275, 16056])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16058, 16057])).
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% 3.09/3.17 ((cell51 = cell13) <=> (cell13 = cell51)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15747])).
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% 3.09/3.17 ((~(cell51 = cell13)) <=> (~(cell13 = cell51))),
% 3.09/3.17 inference(monotonicity,[status(thm)],[16060])).
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15754, 16061])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16063, 16062])).
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% 3.09/3.17 ((cell52 = cell13) <=> (cell13 = cell52)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15288])).
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% 3.09/3.17 ((~(cell52 = cell13)) <=> (~(cell13 = cell52))),
% 3.09/3.17 inference(monotonicity,[status(thm)],[16065])).
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15295, 16066])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16068, 16067])).
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% 3.09/3.17 ((cell53 = cell13) <=> (cell13 = cell53)),
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% 3.09/3.17 ((~(cell53 = cell13)) <=> (~(cell13 = cell53))),
% 3.09/3.17 inference(monotonicity,[status(thm)],[16070])).
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% 3.09/3.17 (~(cell13 = cell53)),
% 3.09/3.17 inference(modus_ponens,[status(thm)],[15305, 16071])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16073, 16072])).
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% 3.09/3.17 ((cell54 = cell13) <=> (cell13 = cell54)),
% 3.09/3.17 inference(symmetry,[status(thm)],[15308])).
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% 3.09/3.17 ((~(cell54 = cell13)) <=> (~(cell13 = cell54))),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15315, 16076])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16078, 16077])).
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15325, 16081])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16083, 16082])).
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% 3.09/3.17 ((cell56 = cell13) <=> (cell13 = cell56)),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15335, 16086])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16088, 16087])).
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% 3.09/3.17 ((cell57 = cell13) <=> (cell13 = cell57)),
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15345, 16091])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16093, 16092])).
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15355, 16096])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16098, 16097])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16103, 16102])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16108, 16107])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16118, 16117])).
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% 3.09/3.17 inference(modus_ponens,[status(thm)],[15415, 16126])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16128, 16127])).
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% 3.09/3.17 inference(unit_resolution,[status(thm)],[16143, 16142])).
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| (~((~(X!1 = cell28)) | (~(Y!0 = cell27)))) | (~((~(X!1 = cell27)) | (~(Y!0 = cell26)))) | (~((~(X!1 = cell26)) | (~(Y!0 = cell25)))) | (~((~(X!1 = cell25)) | (~(Y!0 = cell24)))) | (~((~(X!1 = cell24)) | (~(Y!0 = cell23)))) | (~((~(X!1 = cell23)) | (~(Y!0 = cell22)))) | (~((~(X!1 = cell22)) | (~(Y!0 = cell21)))) | (~((~(X!1 = cell20)) | (~(Y!0 = cell19)))) | (~((~(X!1 = cell19)) | (~(Y!0 = cell18)))) | (~((~(X!1 = cell18)) | (~(Y!0 = cell17)))) | (~((~(X!1 = cell17)) | (~(Y!0 = cell16)))) | (~((~(X!1 = cell16)) | (~(Y!0 = cell15)))) | (~((~(X!1 = cell15)) | (~(Y!0 = cell14)))) | (~((~(X!1 = cell14)) | (~(Y!0 = cell13)))) | (~((~(X!1 = cell13)) | (~(Y!0 = cell12)))) | (~((~(X!1 = cell12)) | (~(Y!0 = cell11)))) | (~((~(X!1 = cell10)) | (~(Y!0 = cell9)))) | (~((~(X!1 = cell9)) | (~(Y!0 = cell8)))) | (~((~(X!1 = cell8)) | (~(Y!0 = cell7)))) | (~((~(X!1 = cell7)) | (~(Y!0 = cell6)))) | (~((~(X!1 = cell6)) | (~(Y!0 = cell5)))) | (~((~(X!1 = cell5)) | (~(Y!0 = cell4)))) | (~((~(X!1 = cell4)) | (~(Y!0 = cell3)))) | (~((~(X!1 = cell3)) | (~(Y!0 = cell2)))) | (~((~(X!1 = cell2)) | (~(Y!0 = cell1))))) | ((~(X!1 = cell13)) | (~(Y!0 = cell12)))),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16488,plain,
% 3.15/3.20 ((~(X!1 = cell13)) | (~(Y!0 = cell12))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16487, 15852])).
% 3.15/3.20 tff(16489,plain,
% 3.15/3.20 ((~((~(X!1 = cell13)) | (~(Y!0 = cell12)))) | (~(X!1 = cell13)) | (~(Y!0 = cell12))),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16490,plain,
% 3.15/3.20 (~(Y!0 = cell12)),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16489, 16488, 14962])).
% 3.15/3.20 tff(16491,plain,
% 3.15/3.20 (((~(Y!0 = cell12)) | (~(cell13 = cell11))) | (Y!0 = cell12)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16492,plain,
% 3.15/3.20 ((~(Y!0 = cell12)) | (~(cell13 = cell11))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16491, 16490])).
% 3.15/3.20 tff(16493,plain,
% 3.15/3.20 (((~(Y!0 = cell12)) | (~(cell13 = cell2))) | (Y!0 = cell12)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16494,plain,
% 3.15/3.20 ((~(Y!0 = cell12)) | (~(cell13 = cell2))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16493, 16490])).
% 3.15/3.20 tff(16495,assumption,((Y!0 = cell23) | (Y!0 = cell14) | (~((~(cell13 = cell22)) | (~(Y!0 = cell32)))) | (~((~(cell13 = cell22)) | (~(Y!0 = cell23)))) | (~((~(Y!0 = cell100)) | (~(cell13 = cell90)))) | (~((~(Y!0 = cell99)) | (~(cell13 = cell89)))) | (~((~(Y!0 = cell98)) | (~(cell13 = cell88)))) | (~((~(Y!0 = cell97)) | (~(cell13 = cell87)))) | (~((~(Y!0 = cell96)) | (~(cell13 = cell86)))) | (~((~(Y!0 = cell95)) | (~(cell13 = cell85)))) | (~((~(Y!0 = cell94)) | (~(cell13 = cell84)))) | (~((~(Y!0 = cell93)) | (~(cell13 = cell83)))) | (~((~(Y!0 = cell92)) | (~(cell13 = cell82)))) | (~((~(Y!0 = cell91)) | (~(cell13 = cell81)))) | (~((~(Y!0 = cell90)) | (~(cell13 = cell80)))) | (~((~(Y!0 = cell89)) | (~(cell13 = cell79)))) | (~((~(Y!0 = cell88)) | (~(cell13 = cell78)))) | (~((~(Y!0 = cell87)) | (~(cell13 = cell77)))) | (~((~(Y!0 = cell86)) | (~(cell13 = cell76)))) | (~((~(Y!0 = cell85)) | (~(cell13 = cell75)))) | (~((~(Y!0 = cell84)) | (~(cell13 = cell74)))) | (~((~(Y!0 = cell83)) | (~(cell13 = cell73)))) | (~((~(Y!0 = cell82)) | (~(cell13 = cell72)))) | (~((~(Y!0 = cell81)) | (~(cell13 = cell71)))) | (~((~(Y!0 = cell80)) | (~(cell13 = cell70)))) | (~((~(Y!0 = cell79)) | (~(cell13 = cell69)))) | (~((~(Y!0 = cell78)) | (~(cell13 = cell68)))) | (~((~(Y!0 = cell77)) | (~(cell13 = cell67)))) | (~((~(Y!0 = cell76)) | (~(cell13 = cell66)))) | (~((~(Y!0 = cell75)) | (~(cell13 = cell65)))) | (~((~(Y!0 = cell74)) | (~(cell13 = cell64)))) | (~((~(Y!0 = cell73)) | (~(cell13 = cell63)))) | (~((~(Y!0 = cell72)) | (~(cell13 = cell62)))) | (~((~(Y!0 = cell71)) | (~(cell13 = cell61)))) | (~((~(Y!0 = cell70)) | (~(cell13 = cell60)))) | (~((~(Y!0 = cell69)) | (~(cell13 = cell59)))) | (~((~(Y!0 = cell68)) | (~(cell13 = cell58)))) | (~((~(Y!0 = cell67)) | (~(cell13 = cell57)))) | (~((~(Y!0 = cell66)) | (~(cell13 = cell56)))) | (~((~(Y!0 = cell65)) | (~(cell13 = cell55)))) | (~((~(Y!0 = cell64)) | (~(cell13 = cell54)))) | (~((~(Y!0 = cell63)) | (~(cell13 = cell53)))) | (~((~(Y!0 = cell62)) | (~(cell13 = cell52)))) | (~((~(Y!0 = cell61)) | (~(cell13 = cell51)))) | (~((~(Y!0 = cell60)) | (~(cell13 = cell50)))) | (~((~(Y!0 = cell59)) | (~(cell13 = cell49)))) | (~((~(Y!0 = cell58)) | (~(cell13 = cell48)))) | (~((~(Y!0 = cell57)) | (~(cell13 = cell47)))) | (~((~(Y!0 = cell56)) | (~(cell13 = cell46)))) | (~((~(Y!0 = cell55)) | (~(cell13 = cell45)))) | (~((~(Y!0 = cell54)) | (~(cell13 = cell44)))) | (~((~(Y!0 = cell53)) | (~(cell13 = cell43)))) | (~((~(Y!0 = cell52)) | (~(cell13 = cell42)))) | (~((~(Y!0 = cell51)) | (~(cell13 = cell41)))) | (~((~(Y!0 = cell50)) | (~(cell13 = cell40)))) | (~((~(Y!0 = cell49)) | (~(cell13 = cell39)))) | (~((~(Y!0 = cell48)) | (~(cell13 = cell38)))) | (~((~(Y!0 = cell47)) | (~(cell13 = cell37)))) | (~((~(Y!0 = cell46)) | (~(cell13 = cell36)))) | (~((~(Y!0 = cell45)) | (~(cell13 = cell35)))) | (~((~(Y!0 = cell44)) | (~(cell13 = cell34)))) | (~((~(Y!0 = cell43)) | (~(cell13 = cell33)))) | (~((~(Y!0 = cell42)) | (~(cell13 = 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(~(cell13 = cell9)))) | (~((~(Y!0 = cell18)) | (~(cell13 = cell8)))) | (~((~(Y!0 = cell17)) | (~(cell13 = cell7)))) | (~((~(Y!0 = cell16)) | (~(cell13 = cell6)))) | (~((~(Y!0 = cell15)) | (~(cell13 = cell5)))) | (~((~(Y!0 = cell14)) | (~(cell13 = cell4)))) | (~((~(Y!0 = cell13)) | (~(cell13 = cell3)))) | (~((~(Y!0 = cell12)) | (~(cell13 = cell2)))) | (~((~(Y!0 = cell11)) | (~(cell13 = cell1)))) | (~((~(Y!0 = cell100)) | (~(cell13 = cell99)))) | (~((~(Y!0 = cell99)) | (~(cell13 = cell98)))) | (~((~(Y!0 = cell98)) | (~(cell13 = cell97)))) | (~((~(Y!0 = cell97)) | (~(cell13 = cell96)))) | (~((~(Y!0 = cell96)) | (~(cell13 = cell95)))) | (~((~(Y!0 = cell95)) | (~(cell13 = cell94)))) | (~((~(Y!0 = cell94)) | (~(cell13 = cell93)))) | (~((~(Y!0 = cell93)) | (~(cell13 = cell92)))) | (~((~(Y!0 = cell92)) | (~(cell13 = cell91)))) | (~((~(Y!0 = cell90)) | (~(cell13 = cell89)))) | (~((~(Y!0 = cell89)) | (~(cell13 = cell88)))) | (~((~(Y!0 = cell88)) | (~(cell13 = cell87)))) | (~((~(Y!0 = cell87)) | 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(~((~(Y!0 = cell40)) | (~(cell13 = cell39)))) | (~((~(Y!0 = cell39)) | (~(cell13 = cell38)))) | (~((~(Y!0 = cell38)) | (~(cell13 = cell37)))) | (~((~(Y!0 = cell37)) | (~(cell13 = cell36)))) | (~((~(Y!0 = cell36)) | (~(cell13 = cell35)))) | (~((~(Y!0 = cell35)) | (~(cell13 = cell34)))) | (~((~(Y!0 = cell34)) | (~(cell13 = cell33)))) | (~((~(Y!0 = cell33)) | (~(cell13 = cell32)))) | (~((~(Y!0 = cell32)) | (~(cell13 = cell31)))) | (~((~(Y!0 = cell30)) | (~(cell13 = cell29)))) | (~((~(Y!0 = cell29)) | (~(cell13 = cell28)))) | (~((~(Y!0 = cell28)) | (~(cell13 = cell27)))) | (~((~(Y!0 = cell27)) | (~(cell13 = cell26)))) | (~((~(Y!0 = cell26)) | (~(cell13 = cell25)))) | (~((~(Y!0 = cell25)) | (~(cell13 = cell24)))) | (~((~(Y!0 = cell24)) | (~(cell13 = cell23)))) | (~((~(Y!0 = cell22)) | (~(cell13 = cell21)))) | (~((~(Y!0 = cell20)) | (~(cell13 = cell19)))) | (~((~(Y!0 = cell19)) | (~(cell13 = cell18)))) | (~((~(Y!0 = cell18)) | (~(cell13 = cell17)))) | (~((~(Y!0 = cell17)) | (~(cell13 = cell16)))) | (~((~(Y!0 = cell16)) | (~(cell13 = cell15)))) | (~((~(Y!0 = cell15)) | (~(cell13 = cell14)))) | (~((~(Y!0 = cell13)) | (~(cell13 = cell12)))) | (~((~(Y!0 = cell12)) | (~(cell13 = cell11)))) | (~((~(Y!0 = cell10)) | (~(cell13 = cell9)))) | (~((~(Y!0 = cell9)) | (~(cell13 = cell8)))) | (~((~(Y!0 = cell8)) | (~(cell13 = cell7)))) | (~((~(Y!0 = cell7)) | (~(cell13 = cell6)))) | (~((~(Y!0 = cell6)) | (~(cell13 = cell5)))) | (~((~(Y!0 = cell5)) | (~(cell13 = cell4)))) | (~((~(Y!0 = cell4)) | (~(cell13 = cell3)))) | (~((~(Y!0 = cell3)) | (~(cell13 = cell2)))) | (~((~(Y!0 = cell2)) | (~(cell13 = cell1))))), introduced(assumption)).
% 3.15/3.20 tff(16496,assumption,(Y!0 = cell90), introduced(assumption)).
% 3.15/3.20 tff(16497,plain,
% 3.15/3.20 ((Y!0 = cell23) <=> (cell90 = cell23)),
% 3.15/3.20 inference(monotonicity,[status(thm)],[16496])).
% 3.15/3.20 tff(16498,plain,
% 3.15/3.20 ((Y!0 = cell23) <=> (cell23 = cell90)),
% 3.15/3.20 inference(transitivity,[status(thm)],[16497, 8342])).
% 3.15/3.20 tff(16499,plain,
% 3.15/3.20 ((cell23 = cell90) <=> (Y!0 = cell23)),
% 3.15/3.20 inference(symmetry,[status(thm)],[16498])).
% 3.15/3.20 tff(16500,plain,
% 3.15/3.20 ((~(cell23 = cell90)) <=> (~(Y!0 = cell23))),
% 3.15/3.20 inference(monotonicity,[status(thm)],[16499])).
% 3.15/3.20 tff(16501,plain,
% 3.15/3.20 (~(Y!0 = cell23)),
% 3.15/3.20 inference(modus_ponens,[status(thm)],[8349, 16500])).
% 3.15/3.20 tff(16502,plain,
% 3.15/3.20 ((Y!0 = cell14) <=> (cell90 = cell14)),
% 3.15/3.20 inference(monotonicity,[status(thm)],[16496])).
% 3.15/3.20 tff(16503,plain,
% 3.15/3.20 ((Y!0 = cell14) <=> (cell14 = cell90)),
% 3.15/3.20 inference(transitivity,[status(thm)],[16502, 8265])).
% 3.15/3.20 tff(16504,plain,
% 3.15/3.20 ((cell14 = cell90) <=> (Y!0 = cell14)),
% 3.15/3.20 inference(symmetry,[status(thm)],[16503])).
% 3.15/3.20 tff(16505,plain,
% 3.15/3.20 ((~(cell14 = cell90)) <=> (~(Y!0 = cell14))),
% 3.15/3.20 inference(monotonicity,[status(thm)],[16504])).
% 3.15/3.20 tff(16506,plain,
% 3.15/3.20 (~(Y!0 = cell14)),
% 3.15/3.20 inference(modus_ponens,[status(thm)],[8272, 16505])).
% 3.15/3.20 tff(16507,plain,
% 3.15/3.20 (((~(Y!0 = cell2)) | (~(cell13 = cell1))) | (Y!0 = cell2)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16508,plain,
% 3.15/3.20 ((~(Y!0 = cell2)) | (~(cell13 = cell1))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16507, 10224])).
% 3.15/3.20 tff(16509,assumption,((~(Y!0 = cell3)) | (~(cell13 = cell2))), introduced(assumption)).
% 3.15/3.20 tff(16510,assumption,((~(Y!0 = cell12)) | (~(cell13 = cell11))), introduced(assumption)).
% 3.15/3.20 tff(16511,plain,
% 3.15/3.20 (((~(Y!0 = cell13)) | (~(cell13 = cell12))) | (Y!0 = cell13)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16512,plain,
% 3.15/3.20 ((~(Y!0 = cell13)) | (~(cell13 = cell12))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16511, 10319])).
% 3.15/3.20 tff(16513,plain,
% 3.15/3.20 (((~(Y!0 = cell22)) | (~(cell13 = cell21))) | (Y!0 = cell22)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16514,plain,
% 3.15/3.20 ((~(Y!0 = cell22)) | (~(cell13 = cell21))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16513, 10376])).
% 3.15/3.20 tff(16515,plain,
% 3.15/3.20 (((~(Y!0 = cell79)) | (~(cell13 = cell78))) | (Y!0 = cell79)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16516,plain,
% 3.15/3.20 ((~(Y!0 = cell79)) | (~(cell13 = cell78))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16515, 5666])).
% 3.15/3.20 tff(16517,plain,
% 3.15/3.20 (((~(Y!0 = cell89)) | (~(cell13 = cell88))) | (Y!0 = cell89)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16518,plain,
% 3.15/3.20 ((~(Y!0 = cell89)) | (~(cell13 = cell88))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16517, 4122])).
% 3.15/3.20 tff(16519,plain,
% 3.15/3.20 (((~(Y!0 = cell99)) | (~(cell13 = cell98))) | (Y!0 = cell99)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16520,plain,
% 3.15/3.20 ((~(Y!0 = cell99)) | (~(cell13 = cell98))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16519, 8113])).
% 3.15/3.20 tff(16521,assumption,((~(Y!0 = cell12)) | (~(cell13 = cell2))), introduced(assumption)).
% 3.15/3.20 tff(16522,plain,
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% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16523,plain,
% 3.15/3.20 ((~(Y!0 = cell13)) | (~(cell13 = cell3))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16522, 10319])).
% 3.15/3.20 tff(16524,plain,
% 3.15/3.20 (((~(Y!0 = cell22)) | (~(cell13 = cell12))) | (Y!0 = cell22)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16525,plain,
% 3.15/3.20 ((~(Y!0 = cell22)) | (~(cell13 = cell12))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16524, 10376])).
% 3.15/3.20 tff(16526,plain,
% 3.15/3.20 (((~(Y!0 = cell79)) | (~(cell13 = cell69))) | (Y!0 = cell79)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16527,plain,
% 3.15/3.20 ((~(Y!0 = cell79)) | (~(cell13 = cell69))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16526, 5666])).
% 3.15/3.20 tff(16528,plain,
% 3.15/3.20 (((~(Y!0 = cell89)) | (~(cell13 = cell79))) | (Y!0 = cell89)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16529,plain,
% 3.15/3.20 ((~(Y!0 = cell89)) | (~(cell13 = cell79))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16528, 4122])).
% 3.15/3.20 tff(16530,plain,
% 3.15/3.20 (((~(Y!0 = cell99)) | (~(cell13 = cell89))) | (Y!0 = cell99)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16531,plain,
% 3.15/3.20 ((~(Y!0 = cell99)) | (~(cell13 = cell89))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16530, 8113])).
% 3.15/3.20 tff(16532,plain,
% 3.15/3.20 (((~(cell13 = cell22)) | (~(Y!0 = cell23))) | (cell13 = cell22)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16533,plain,
% 3.15/3.20 ((~(cell13 = cell22)) | (~(Y!0 = cell23))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16532, 6198])).
% 3.15/3.20 tff(16534,plain,
% 3.15/3.20 (((~(cell13 = cell22)) | (~(Y!0 = cell32))) | (cell13 = cell22)),
% 3.15/3.20 inference(tautology,[status(thm)],[])).
% 3.15/3.20 tff(16535,plain,
% 3.15/3.20 ((~(cell13 = cell22)) | (~(Y!0 = cell32))),
% 3.15/3.20 inference(unit_resolution,[status(thm)],[16534, 6198])).
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% 3.15/3.22 inference(unit_resolution,[status(thm)],[16536, 16535, 16533, 16531, 16529, 16527, 16525, 16523, 16521, 16520, 16518, 16516, 16514, 16512, 16510, 16509, 16508])).
% 3.15/3.22 tff(16538,plain,
% 3.15/3.22 ($false),
% 3.15/3.22 inference(unit_resolution,[status(thm)],[16537, 16506, 16501, 16480, 16475, 16470, 16468, 16466, 16464, 16462, 16460, 16458, 16456, 16451, 16446, 16444, 16442, 16440, 16438, 16436, 16434, 16432, 16427, 16425, 16423, 16421, 16419, 16417, 16415, 16413, 16411, 16406, 16404, 16402, 16400, 16398, 16396, 16394, 16392, 16390, 16388, 16383, 16381, 16379, 16377, 16375, 16373, 16371, 16369, 16367, 16365, 16360, 16358, 16356, 16354, 16352, 16350, 16348, 16346, 16344, 16342, 16337, 16335, 16333, 16331, 16329, 16327, 16325, 16323, 16318, 16313, 16311, 16309, 16307, 16305, 16303, 16301, 16295, 16290, 16288, 16286, 16284, 16282, 16280, 16278, 16269, 16264, 16259, 16254, 16249, 16244, 16239, 16234, 16229, 16224, 16219, 16214, 16209, 16204, 16199, 16194, 16189, 16184, 16179, 16174, 16169, 16164, 16159, 16154, 16149, 16144, 16139, 16134, 16129, 16124, 16119, 16114, 16109, 16104, 16099, 16094, 16089, 16084, 16079, 16074, 16069, 16064, 16059, 16054, 16049, 16044, 16039, 16034, 16029, 16024, 16019, 16014, 16009, 16004, 15999, 15994, 15989, 15984, 15979, 15974, 15969, 15964, 15959, 15954, 15949, 15944, 15939, 15930, 15925, 15920, 15915, 15910, 15905, 15900, 15895, 15890, 15885, 15880, 15875, 15866, 16495])).
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% 3.15/3.23 tff(16540,plain,
% 3.15/3.23 (~(Y!0 = cell90)),
% 3.15/3.23 inference(unit_resolution,[status(thm)],[16539, 15857, 16494, 16492, 16486])).
% 3.15/3.23 tff(16541,plain,
% 3.15/3.23 (~oxygen(cell90)),
% 3.15/3.23 inference(unit_resolution,[status(thm)],[14120, 16540])).
% 3.15/3.23 tff(16542,plain,
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% 3.15/3.23 inference(unit_resolution,[status(thm)],[14122, 16541])).
% 3.15/3.23 tff(16543,plain,
% 3.15/3.23 (Y!0 = cell88),
% 3.15/3.23 inference(unit_resolution,[status(thm)],[4138, 16542])).
% 3.15/3.23 tff(16544,plain,
% 3.15/3.23 ((Y!0 = cell23) <=> (cell88 = cell23)),
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% 3.15/3.23 ((cell23 = cell88) <=> (Y!0 = cell23)),
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% 3.15/3.23 ((~(cell23 = cell88)) <=> (~(Y!0 = cell23))),
% 3.15/3.23 inference(monotonicity,[status(thm)],[16546])).
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% 3.15/3.23 (~(Y!0 = cell23)),
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% 3.15/3.23 tff(16550,plain,
% 3.15/3.23 ((Y!0 = cell14) <=> (cell14 = cell88)),
% 3.15/3.23 inference(transitivity,[status(thm)],[16549, 11313])).
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% 3.15/3.23 ((cell14 = cell88) <=> (Y!0 = cell14)),
% 3.15/3.23 inference(symmetry,[status(thm)],[16550])).
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% 3.15/3.23 ((~(cell14 = cell88)) <=> (~(Y!0 = cell14))),
% 3.15/3.23 inference(monotonicity,[status(thm)],[16551])).
% 3.15/3.23 tff(16553,plain,
% 3.15/3.23 (~(Y!0 = cell14)),
% 3.15/3.23 inference(modus_ponens,[status(thm)],[11320, 16552])).
% 3.15/3.23 tff(16554,plain,
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% 3.15/3.24 inference(unit_resolution,[status(thm)],[16536, 16535, 16533, 16531, 16529, 16527, 16525, 16523, 16494, 16520, 16518, 16516, 16514, 16512, 16492, 16486, 16508])).
% 3.15/3.24 tff(16555,plain,
% 3.15/3.24 ($false),
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| (~((~(X!1 = cell28)) | (~(Y!0 = cell27)))) | (~((~(X!1 = cell27)) | (~(Y!0 = cell26)))) | (~((~(X!1 = cell26)) | (~(Y!0 = cell25)))) | (~((~(X!1 = cell25)) | (~(Y!0 = cell24)))) | (~((~(X!1 = cell24)) | (~(Y!0 = cell23)))) | (~((~(X!1 = cell23)) | (~(Y!0 = cell22)))) | (~((~(X!1 = cell22)) | (~(Y!0 = cell21)))) | (~((~(X!1 = cell20)) | (~(Y!0 = cell19)))) | (~((~(X!1 = cell19)) | (~(Y!0 = cell18)))) | (~((~(X!1 = cell18)) | (~(Y!0 = cell17)))) | (~((~(X!1 = cell17)) | (~(Y!0 = cell16)))) | (~((~(X!1 = cell16)) | (~(Y!0 = cell15)))) | (~((~(X!1 = cell15)) | (~(Y!0 = cell14)))) | (~((~(X!1 = cell14)) | (~(Y!0 = cell13)))) | (~((~(X!1 = cell13)) | (~(Y!0 = cell12)))) | (~((~(X!1 = cell12)) | (~(Y!0 = cell11)))) | (~((~(X!1 = cell10)) | (~(Y!0 = cell9)))) | (~((~(X!1 = cell9)) | (~(Y!0 = cell8)))) | (~((~(X!1 = cell8)) | (~(Y!0 = cell7)))) | (~((~(X!1 = cell7)) | (~(Y!0 = cell6)))) | (~((~(X!1 = cell6)) | (~(Y!0 = cell5)))) | (~((~(X!1 = cell5)) | (~(Y!0 = cell4)))) | (~((~(X!1 = cell4)) | (~(Y!0 = cell3)))) | (~((~(X!1 = cell3)) | (~(Y!0 = cell2)))) | (~((~(X!1 = cell2)) | (~(Y!0 = cell1))))),
% 3.24/3.32 inference(unit_resolution,[status(thm)],[16556, 14878])).
% 3.24/3.32 tff(16558,plain,
% 3.24/3.32 ((~(X!1 = cell98)) | (~(Y!0 = cell88))),
% 3.24/3.32 inference(unit_resolution,[status(thm)],[10165, 15651])).
% 3.24/3.32 tff(16559,plain,
% 3.24/3.32 ((~(X!1 = cell92)) | (~(Y!0 = cell82))),
% 3.24/3.32 inference(unit_resolution,[status(thm)],[10178, 15612])).
% 3.24/3.32 tff(16560,plain,
% 3.24/3.32 ($false),
% 3.24/3.32 inference(unit_resolution,[status(thm)],[10391, 16559, 16558, 14672, 14670, 16557, 15841, 15840, 15833, 15826, 15825, 15824, 15823, 15822, 15821, 15820, 15819, 15809, 15802, 15801, 15800, 15799, 15798, 15797, 15796, 15795, 15794, 15784, 15783, 15782, 15781, 15780, 15779, 15778, 15777, 15776, 15775, 15765, 15764, 15763, 15762, 15761, 15760, 15759, 15758, 15757, 15756, 15746, 15745, 15744, 15743, 15742, 15741, 15740, 15739, 15738, 15737, 15727, 15726, 15725, 15724, 15723, 15722, 15721, 15720, 15719, 15709, 15708, 15707, 15706, 15705, 15704, 15703, 15702, 15692, 15682, 15681, 15680, 15679, 15678, 15677, 15676, 15666, 15660, 15659, 15652, 15645, 15635, 15634, 15633, 15623, 15613, 15603, 15596, 15589, 15588, 15578, 15568, 15558, 15548, 14469, 15538, 15531, 15524, 15514, 15504, 15494, 15484, 15474, 15464, 15454, 15447, 15437, 15427, 15417, 15407, 15397, 15387, 15377, 15367, 15357, 15347, 15337, 15327, 15317, 15307, 15297, 15287, 15277, 15267, 15257, 15247, 15237, 15227, 15217, 15207, 15197, 15187, 15177, 15167, 15157, 15147, 15137, 15127, 15117, 15107, 15097, 15087, 15077, 15067, 15057, 15047, 15037, 15027, 15017, 15007, 14997, 14987, 14977, 14967, 14957, 14947, 14937, 14927, 14917, 14907, 14897, 14125, 14887])).
% 3.24/3.32 % SZS output end Proof
%------------------------------------------------------------------------------