TSTP Solution File: KRS117+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 : Sat Sep 17 17:44:50 EDT 2022
% Result : Unsatisfiable 1.36s 1.12s
% Output : Proof 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS117+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Sep 1 08:59:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 1.36/1.12 % SZS status Unsatisfiable
% 1.36/1.12 % SZS output start Proof
% 1.36/1.12 tff(cc_type, type, (
% 1.36/1.12 cc: $i > $o)).
% 1.36/1.12 tff(tptp_fun_Y_0_type, type, (
% 1.36/1.12 tptp_fun_Y_0: $i > $i)).
% 1.36/1.12 tff(i2003_11_14_17_21_37349_type, type, (
% 1.36/1.12 i2003_11_14_17_21_37349: $i)).
% 1.36/1.12 tff(tptp_fun_Y_4_type, type, (
% 1.36/1.12 tptp_fun_Y_4: $i > $i)).
% 1.36/1.12 tff(rf_type, type, (
% 1.36/1.12 rf: ( $i * $i ) > $o)).
% 1.36/1.12 tff(cowlThing_type, type, (
% 1.36/1.12 cowlThing: $i > $o)).
% 1.36/1.12 tff(cowlNothing_type, type, (
% 1.36/1.12 cowlNothing: $i > $o)).
% 1.36/1.12 tff(rinvF_type, type, (
% 1.36/1.12 rinvF: ( $i * $i ) > $o)).
% 1.36/1.12 tff(cd_type, type, (
% 1.36/1.12 cd: $i > $o)).
% 1.36/1.12 tff(ca_Vx3_type, type, (
% 1.36/1.12 ca_Vx3: $i > $o)).
% 1.36/1.12 tff(rinvR_type, type, (
% 1.36/1.12 rinvR: ( $i * $i ) > $o)).
% 1.36/1.12 tff(rr_type, type, (
% 1.36/1.12 rr: ( $i * $i ) > $o)).
% 1.36/1.12 tff(ccxcomp_type, type, (
% 1.36/1.12 ccxcomp: $i > $o)).
% 1.36/1.12 tff(cUnsatisfiable_type, type, (
% 1.36/1.12 cUnsatisfiable: $i > $o)).
% 1.36/1.12 tff(tptp_fun_Y_1_type, type, (
% 1.36/1.12 tptp_fun_Y_1: $i > $i)).
% 1.36/1.12 tff(ra_Px1_type, type, (
% 1.36/1.12 ra_Px1: ( $i * $i ) > $o)).
% 1.36/1.12 tff(tptp_fun_Y_2_type, type, (
% 1.36/1.12 tptp_fun_Y_2: $i > $i)).
% 1.36/1.12 tff(tptp_fun_Y0_3_type, type, (
% 1.36/1.12 tptp_fun_Y0_3: $i > $i)).
% 1.36/1.12 tff(1,assumption,(~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))), introduced(assumption)).
% 1.36/1.12 tff(2,plain,
% 1.36/1.12 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(3,plain,
% 1.36/1.12 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[2])).
% 1.36/1.12 tff(4,plain,
% 1.36/1.12 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(5,plain,
% 1.36/1.12 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[4])).
% 1.36/1.12 tff(6,plain,
% 1.36/1.12 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 1.36/1.12 tff(8,plain,
% 1.36/1.12 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[7, 6])).
% 1.36/1.12 tff(9,plain,(
% 1.36/1.12 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 1.36/1.12 inference(skolemize,[status(sab)],[8])).
% 1.36/1.12 tff(10,plain,
% 1.36/1.12 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[9, 5])).
% 1.36/1.12 tff(11,plain,
% 1.36/1.12 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[10, 3])).
% 1.36/1.12 tff(12,plain,
% 1.36/1.12 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(13,plain,
% 1.36/1.12 (~(cowlNothing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[12, 11])).
% 1.36/1.12 tff(14,plain,
% 1.36/1.12 ((cowlNothing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(15,plain,
% 1.36/1.12 (cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[14, 13])).
% 1.36/1.12 tff(16,plain,
% 1.36/1.12 (^[X: $i] : refl(((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(17,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[16])).
% 1.36/1.12 tff(18,plain,
% 1.36/1.12 (^[X: $i] : rewrite(((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(19,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[18])).
% 1.36/1.12 tff(20,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 1.36/1.12 inference(transitivity,[status(thm)],[19, 17])).
% 1.36/1.12 tff(21,plain,
% 1.36/1.12 (^[X: $i] : rewrite(((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(22,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[21])).
% 1.36/1.12 tff(23,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(24,plain,
% 1.36/1.12 (^[X: $i] : trans(monotonicity(quant_intro(proof_bind(^[Y0: $i, Y1: $i] : rewrite(((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1)) <=> ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))), (![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1)) <=> ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))), ((cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1))) <=> (cowlThing(X) => ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))))), rewrite((cowlThing(X) => ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))), ((cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(25,plain,
% 1.36/1.12 (![X: $i] : (cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[24])).
% 1.36/1.12 tff(26,axiom,(![X: $i] : (cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_7')).
% 1.36/1.12 tff(27,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[26, 25])).
% 1.36/1.12 tff(28,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[27, 23])).
% 1.36/1.12 tff(29,plain,(
% 1.36/1.12 ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 1.36/1.12 inference(skolemize,[status(sab)],[28])).
% 1.36/1.12 tff(30,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[29, 22])).
% 1.36/1.12 tff(31,plain,
% 1.36/1.12 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[30, 20])).
% 1.36/1.12 tff(32,plain,
% 1.36/1.12 (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | ((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0))))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(33,plain,
% 1.36/1.12 ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | ((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0))))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(34,plain,
% 1.36/1.12 ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[33, 32])).
% 1.36/1.12 tff(35,plain,
% 1.36/1.12 ($false),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[34, 31, 15, 1])).
% 1.36/1.12 tff(36,plain,(![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12 tff(37,assumption,(![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))), introduced(assumption)).
% 1.36/1.12 tff(38,assumption,(~(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))), introduced(assumption)).
% 1.36/1.12 tff(39,assumption,(~(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))), introduced(assumption)).
% 1.36/1.12 tff(40,plain,
% 1.36/1.12 (^[X: $i, Y: $i] : refl((rinvF(X, Y) <=> rf(Y, X)) <=> (rinvF(X, Y) <=> rf(Y, X)))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(41,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X)) <=> ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[40])).
% 1.36/1.12 tff(42,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X)) <=> ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(43,axiom,(![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_8')).
% 1.36/1.12 tff(44,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[43, 42])).
% 1.36/1.12 tff(45,plain,(
% 1.36/1.12 ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 1.36/1.12 inference(skolemize,[status(sab)],[44])).
% 1.36/1.12 tff(46,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[45, 41])).
% 1.36/1.12 tff(47,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(48,plain,
% 1.36/1.12 ($false),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[47, 46, 39])).
% 1.36/1.12 tff(49,plain,(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12 tff(50,assumption,(~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))), introduced(assumption)).
% 1.36/1.12 tff(51,plain,
% 1.36/1.12 (^[X: $i, Y: $i] : refl((rinvR(X, Y) <=> rr(Y, X)) <=> (rinvR(X, Y) <=> rr(Y, X)))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(52,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X)) <=> ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[51])).
% 1.36/1.12 tff(53,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X)) <=> ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(54,axiom,(![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_9')).
% 1.36/1.12 tff(55,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[54, 53])).
% 1.36/1.12 tff(56,plain,(
% 1.36/1.12 ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 1.36/1.12 inference(skolemize,[status(sab)],[55])).
% 1.36/1.12 tff(57,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[56, 52])).
% 1.36/1.12 tff(58,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(59,plain,
% 1.36/1.12 ($false),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[58, 57, 50])).
% 1.36/1.12 tff(60,plain,(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349)), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12 tff(61,assumption,(~(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), introduced(assumption)).
% 1.36/1.12 tff(62,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(63,plain,
% 1.36/1.12 ($false),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[62, 46, 61])).
% 1.36/1.12 tff(64,plain,(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.12 tff(65,assumption,(~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), introduced(assumption)).
% 1.36/1.12 tff(66,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(67,plain,
% 1.36/1.12 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[66, 57])).
% 1.36/1.12 tff(68,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(69,plain,
% 1.36/1.12 (rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[68, 46])).
% 1.36/1.12 tff(70,plain,
% 1.36/1.12 (^[X: $i] : refl((~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(71,plain,
% 1.36/1.12 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> ![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[70])).
% 1.36/1.12 tff(72,plain,
% 1.36/1.12 (^[X: $i] : rewrite((~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(73,plain,
% 1.36/1.12 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> ![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[72])).
% 1.36/1.12 tff(74,plain,
% 1.36/1.12 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> ![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(transitivity,[status(thm)],[73, 71])).
% 1.36/1.12 tff(75,plain,
% 1.36/1.12 (^[X: $i] : trans(monotonicity(rewrite(((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) <=> ((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))), rewrite((ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))) <=> (ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))), ((((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X)))))) & (ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))), rewrite((((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X)))))) & (ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))) <=> (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))), ((((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(76,plain,
% 1.36/1.12 (![X: $i] : (((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> ![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[75])).
% 1.36/1.12 tff(77,plain,
% 1.36/1.12 (![X: $i] : (ca_Vx3(X) <=> ?[Y: $i] : (rinvF(X, Y) & cd(Y))) <=> ![X: $i] : (ca_Vx3(X) <=> ?[Y: $i] : (rinvF(X, Y) & cd(Y)))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(78,axiom,(![X: $i] : (ca_Vx3(X) <=> ?[Y: $i] : (rinvF(X, Y) & cd(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_6')).
% 1.36/1.12 tff(79,plain,
% 1.36/1.12 (![X: $i] : (ca_Vx3(X) <=> ?[Y: $i] : (rinvF(X, Y) & cd(Y)))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[78, 77])).
% 1.36/1.12 tff(80,plain,(
% 1.36/1.12 ![X: $i] : (((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))),
% 1.36/1.12 inference(skolemize,[status(sab)],[79])).
% 1.36/1.12 tff(81,plain,
% 1.36/1.12 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[80, 76])).
% 1.36/1.12 tff(82,plain,
% 1.36/1.12 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[81, 74])).
% 1.36/1.12 tff(83,plain,
% 1.36/1.12 ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)))))))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(84,plain,
% 1.36/1.12 (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y))))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[83, 82])).
% 1.36/1.12 tff(85,plain,
% 1.36/1.12 (((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)))))) | ((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(86,plain,
% 1.36/1.12 ((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[85, 84])).
% 1.36/1.12 tff(87,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(88,plain,
% 1.36/1.12 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[87, 57])).
% 1.36/1.12 tff(89,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(90,plain,
% 1.36/1.12 (rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[89, 46])).
% 1.36/1.12 tff(91,plain,
% 1.36/1.12 (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(92,plain,
% 1.36/1.12 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[91])).
% 1.36/1.12 tff(93,plain,
% 1.36/1.12 (^[X: $i] : refl((~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(94,plain,
% 1.36/1.12 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[93])).
% 1.36/1.12 tff(95,plain,
% 1.36/1.12 (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(96,plain,
% 1.36/1.12 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[95])).
% 1.36/1.12 tff(97,plain,
% 1.36/1.12 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(transitivity,[status(thm)],[96, 94])).
% 1.36/1.12 tff(98,plain,
% 1.36/1.12 (^[X: $i] : trans(monotonicity(rewrite(((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) <=> ((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))), rewrite((cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))) <=> (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))), ((((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X)))))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))))), rewrite((((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X)))))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))), ((((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(99,plain,
% 1.36/1.12 (![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[98])).
% 1.36/1.12 tff(100,plain,
% 1.36/1.12 (^[X: $i] : rewrite((((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X))))) & (cUnsatisfiable(X) | ((~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))) <=> (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(101,plain,
% 1.36/1.12 (![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X))))) & (cUnsatisfiable(X) | ((~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))) <=> ![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[100])).
% 1.36/1.12 tff(102,plain,
% 1.36/1.12 (![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(103,plain,
% 1.36/1.12 (^[X: $i] : rewrite((cUnsatisfiable(X) <=> ((ccxcomp(X) & ![Y: $i] : (rinvR(X, Y) => ca_Vx3(Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(104,plain,
% 1.36/1.12 (![X: $i] : (cUnsatisfiable(X) <=> ((ccxcomp(X) & ![Y: $i] : (rinvR(X, Y) => ca_Vx3(Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[103])).
% 1.36/1.12 tff(105,axiom,(![X: $i] : (cUnsatisfiable(X) <=> ((ccxcomp(X) & ![Y: $i] : (rinvR(X, Y) => ca_Vx3(Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 1.36/1.12 tff(106,plain,
% 1.36/1.12 (![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[105, 104])).
% 1.36/1.12 tff(107,plain,
% 1.36/1.12 (![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[106, 102])).
% 1.36/1.12 tff(108,plain,(
% 1.36/1.12 ![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X))))) & (cUnsatisfiable(X) | ((~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))))),
% 1.36/1.12 inference(skolemize,[status(sab)],[107])).
% 1.36/1.12 tff(109,plain,
% 1.36/1.12 (![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[108, 101])).
% 1.36/1.12 tff(110,plain,
% 1.36/1.12 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[109, 99])).
% 1.36/1.12 tff(111,plain,
% 1.36/1.12 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[110, 97])).
% 1.36/1.12 tff(112,plain,
% 1.36/1.12 (![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[111, 92])).
% 1.36/1.12 tff(113,plain,
% 1.36/1.12 ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~ccxcomp(X)) | (~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))))))))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(114,plain,
% 1.36/1.12 (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))))))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[113, 112])).
% 1.36/1.12 tff(115,plain,
% 1.36/1.12 (((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))))))) | ((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))))))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(116,plain,
% 1.36/1.12 ((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[115, 114])).
% 1.36/1.12 tff(117,plain,
% 1.36/1.12 (cUnsatisfiable(i2003_11_14_17_21_37349) <=> cUnsatisfiable(i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(118,axiom,(cUnsatisfiable(i2003_11_14_17_21_37349)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_11')).
% 1.36/1.12 tff(119,plain,
% 1.36/1.12 (cUnsatisfiable(i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[118, 117])).
% 1.36/1.12 tff(120,plain,
% 1.36/1.12 ((~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))))))) | (~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(121,plain,
% 1.36/1.12 ((~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))))))) | (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[120, 119])).
% 1.36/1.12 tff(122,plain,
% 1.36/1.12 (~((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[121, 116])).
% 1.36/1.12 tff(123,plain,
% 1.36/1.12 (((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))) | rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(124,plain,
% 1.36/1.12 (rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[123, 122])).
% 1.36/1.12 tff(125,plain,
% 1.36/1.12 ((~(rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(126,plain,
% 1.36/1.12 ((~(rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) | rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[125, 124])).
% 1.36/1.12 tff(127,plain,
% 1.36/1.12 (rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[126, 90])).
% 1.36/1.12 tff(128,plain,
% 1.36/1.12 (^[X: $i, Y: $i] : refl(((~rf(X, Y)) | rr(X, Y)) <=> ((~rf(X, Y)) | rr(X, Y)))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(129,plain,
% 1.36/1.12 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[128])).
% 1.36/1.12 tff(130,plain,
% 1.36/1.12 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(131,plain,
% 1.36/1.12 (^[X: $i, Y: $i] : rewrite((rf(X, Y) => rr(X, Y)) <=> ((~rf(X, Y)) | rr(X, Y)))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(132,plain,
% 1.36/1.12 (![X: $i, Y: $i] : (rf(X, Y) => rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[131])).
% 1.36/1.12 tff(133,axiom,(![X: $i, Y: $i] : (rf(X, Y) => rr(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_12')).
% 1.36/1.12 tff(134,plain,
% 1.36/1.12 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[133, 132])).
% 1.36/1.12 tff(135,plain,
% 1.36/1.12 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[134, 130])).
% 1.36/1.12 tff(136,plain,(
% 1.36/1.12 ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 1.36/1.12 inference(skolemize,[status(sab)],[135])).
% 1.36/1.12 tff(137,plain,
% 1.36/1.12 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[136, 129])).
% 1.36/1.12 tff(138,plain,
% 1.36/1.12 (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(139,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(140,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[139, 138])).
% 1.36/1.12 tff(141,plain,
% 1.36/1.12 (rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[140, 137, 127])).
% 1.36/1.12 tff(142,plain,
% 1.36/1.12 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(143,plain,
% 1.36/1.12 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[142, 141])).
% 1.36/1.12 tff(144,plain,
% 1.36/1.12 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[143, 88])).
% 1.36/1.12 tff(145,plain,
% 1.36/1.12 (((~ccxcomp(i2003_11_14_17_21_37349)) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))) | ![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(146,plain,
% 1.36/1.12 (![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[145, 122])).
% 1.36/1.12 tff(147,plain,
% 1.36/1.12 (((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(148,plain,
% 1.36/1.12 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(149,plain,
% 1.36/1.12 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[148, 147])).
% 1.36/1.12 tff(150,plain,
% 1.36/1.12 (ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[149, 146, 144])).
% 1.36/1.12 tff(151,plain,
% 1.36/1.12 ((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(152,plain,
% 1.36/1.12 ((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[151, 150])).
% 1.36/1.12 tff(153,plain,
% 1.36/1.12 (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[152, 86])).
% 1.36/1.12 tff(154,plain,
% 1.36/1.12 (((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(155,plain,
% 1.36/1.12 (rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[154, 153])).
% 1.36/1.12 tff(156,plain,
% 1.36/1.12 ((~(rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(tautology,[status(thm)],[])).
% 1.36/1.12 tff(157,plain,
% 1.36/1.12 ((~(rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[156, 155])).
% 1.36/1.12 tff(158,plain,
% 1.36/1.12 (rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[157, 69])).
% 1.36/1.12 tff(159,plain,
% 1.36/1.12 (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(160,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.12 inference(quant_inst,[status(thm)],[])).
% 1.36/1.12 tff(161,plain,
% 1.36/1.12 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(modus_ponens,[status(thm)],[160, 159])).
% 1.36/1.12 tff(162,plain,
% 1.36/1.12 (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 1.36/1.12 inference(unit_resolution,[status(thm)],[161, 137, 158])).
% 1.36/1.12 tff(163,plain,
% 1.36/1.12 (![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z))) <=> ![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.12 tff(164,plain,
% 1.36/1.12 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((rr(X, Y) & rr(Y, Z)) <=> (~((~rr(X, Y)) | (~rr(Y, Z))))), ((~(rr(X, Y) & rr(Y, Z))) <=> (~(~((~rr(X, Y)) | (~rr(Y, Z))))))), rewrite((~(~((~rr(X, Y)) | (~rr(Y, Z))))) <=> ((~rr(X, Y)) | (~rr(Y, Z)))), ((~(rr(X, Y) & rr(Y, Z))) <=> ((~rr(X, Y)) | (~rr(Y, Z))))), (((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)) <=> (((~rr(X, Y)) | (~rr(Y, Z))) | rr(X, Z)))), rewrite((((~rr(X, Y)) | (~rr(Y, Z))) | rr(X, Z)) <=> (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))), (((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)) <=> (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))))),
% 1.36/1.12 inference(bind,[status(th)],[])).
% 1.36/1.12 tff(165,plain,
% 1.36/1.12 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 1.36/1.12 inference(quant_intro,[status(thm)],[164])).
% 1.36/1.12 tff(166,plain,
% 1.36/1.12 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 1.36/1.12 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(167,plain,
% 1.36/1.13 (^[X: $i, Y: $i, Z: $i] : rewrite(((rr(X, Y) & rr(Y, Z)) => rr(X, Z)) <=> ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)))),
% 1.36/1.13 inference(bind,[status(th)],[])).
% 1.36/1.13 tff(168,plain,
% 1.36/1.13 (![X: $i, Y: $i, Z: $i] : ((rr(X, Y) & rr(Y, Z)) => rr(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 1.36/1.13 inference(quant_intro,[status(thm)],[167])).
% 1.36/1.13 tff(169,axiom,(![X: $i, Y: $i, Z: $i] : ((rr(X, Y) & rr(Y, Z)) => rr(X, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_10')).
% 1.36/1.13 tff(170,plain,
% 1.36/1.13 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[169, 168])).
% 1.36/1.13 tff(171,plain,
% 1.36/1.13 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[170, 166])).
% 1.36/1.13 tff(172,plain,(
% 1.36/1.13 ![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 1.36/1.13 inference(skolemize,[status(sab)],[171])).
% 1.36/1.13 tff(173,plain,
% 1.36/1.13 (![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[172, 165])).
% 1.36/1.13 tff(174,plain,
% 1.36/1.13 (![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[173, 163])).
% 1.36/1.13 tff(175,plain,
% 1.36/1.13 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(176,plain,
% 1.36/1.13 ((rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) <=> ((~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(177,plain,
% 1.36/1.13 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(monotonicity,[status(thm)],[176])).
% 1.36/1.13 tff(178,plain,
% 1.36/1.13 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(transitivity,[status(thm)],[177, 175])).
% 1.36/1.13 tff(179,plain,
% 1.36/1.13 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(180,plain,
% 1.36/1.13 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[179, 178])).
% 1.36/1.13 tff(181,plain,
% 1.36/1.13 (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[180, 174, 141, 162])).
% 1.36/1.13 tff(182,plain,
% 1.36/1.13 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(183,plain,
% 1.36/1.13 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[182, 181])).
% 1.36/1.13 tff(184,plain,
% 1.36/1.13 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[183, 67])).
% 1.36/1.13 tff(185,plain,
% 1.36/1.13 (((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) <=> ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(186,plain,
% 1.36/1.13 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(187,plain,
% 1.36/1.13 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[186, 185])).
% 1.36/1.13 tff(188,plain,
% 1.36/1.13 ($false),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[187, 146, 184, 65])).
% 1.36/1.13 tff(189,plain,(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13 tff(190,assumption,((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))))), introduced(assumption)).
% 1.36/1.13 tff(191,plain,
% 1.36/1.13 ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))))))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(192,plain,
% 1.36/1.13 ($false),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[191, 82, 190])).
% 1.36/1.13 tff(193,plain,(~((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13 tff(194,plain,
% 1.36/1.13 (((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))))) | ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(195,plain,
% 1.36/1.13 ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[194, 193])).
% 1.36/1.13 tff(196,plain,
% 1.36/1.13 ((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(197,plain,
% 1.36/1.13 ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[196, 195])).
% 1.36/1.13 tff(198,plain,
% 1.36/1.13 (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[197, 189])).
% 1.36/1.13 tff(199,plain,
% 1.36/1.13 (((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(200,plain,
% 1.36/1.13 (rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[199, 198])).
% 1.36/1.13 tff(201,plain,
% 1.36/1.13 ((~(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(202,plain,
% 1.36/1.13 ((~(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[201, 200])).
% 1.36/1.13 tff(203,plain,
% 1.36/1.13 (rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[202, 64])).
% 1.36/1.13 tff(204,assumption,(~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), introduced(assumption)).
% 1.36/1.13 tff(205,plain,
% 1.36/1.13 (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(206,plain,
% 1.36/1.13 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(207,plain,
% 1.36/1.13 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[206, 205])).
% 1.36/1.13 tff(208,plain,
% 1.36/1.13 ($false),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[207, 137, 204, 203])).
% 1.36/1.13 tff(209,plain,(rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13 tff(210,assumption,(rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), introduced(assumption)).
% 1.36/1.13 tff(211,assumption,(~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349)), introduced(assumption)).
% 1.36/1.13 tff(212,plain,
% 1.36/1.13 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(213,plain,
% 1.36/1.13 ((rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))) <=> ((~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(214,plain,
% 1.36/1.13 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(monotonicity,[status(thm)],[213])).
% 1.36/1.13 tff(215,plain,
% 1.36/1.13 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))),
% 1.36/1.13 inference(transitivity,[status(thm)],[214, 212])).
% 1.36/1.13 tff(216,plain,
% 1.36/1.13 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(217,plain,
% 1.36/1.13 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349)),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[216, 215])).
% 1.36/1.13 tff(218,plain,
% 1.36/1.13 ($false),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[217, 174, 181, 211, 210])).
% 1.36/1.13 tff(219,plain,((~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349)), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13 tff(220,plain,
% 1.36/1.13 (rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349)),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[219, 209])).
% 1.36/1.13 tff(221,plain,
% 1.36/1.13 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(222,plain,
% 1.36/1.13 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[221, 220])).
% 1.36/1.13 tff(223,plain,
% 1.36/1.13 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[222, 60])).
% 1.36/1.13 tff(224,assumption,(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), introduced(assumption)).
% 1.36/1.13 tff(225,assumption,(~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), introduced(assumption)).
% 1.36/1.13 tff(226,plain,
% 1.36/1.13 (((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) <=> ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(227,plain,
% 1.36/1.13 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(228,plain,
% 1.36/1.13 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[227, 226])).
% 1.36/1.13 tff(229,plain,
% 1.36/1.13 ($false),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[228, 146, 225, 224])).
% 1.36/1.13 tff(230,plain,((~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13 tff(231,plain,
% 1.36/1.13 (ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[230, 223])).
% 1.36/1.13 tff(232,assumption,((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)))))), introduced(assumption)).
% 1.36/1.13 tff(233,plain,
% 1.36/1.13 ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)))))))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(234,plain,
% 1.36/1.13 ($false),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[233, 82, 232])).
% 1.36/1.13 tff(235,plain,(~((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13 tff(236,plain,
% 1.36/1.13 (((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)))))) | ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(237,plain,
% 1.36/1.13 ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[236, 235])).
% 1.36/1.13 tff(238,plain,
% 1.36/1.13 ((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(239,plain,
% 1.36/1.13 ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[238, 237])).
% 1.36/1.13 tff(240,plain,
% 1.36/1.13 (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[239, 231])).
% 1.36/1.13 tff(241,plain,
% 1.36/1.13 (((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(242,plain,
% 1.36/1.13 (rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[241, 240])).
% 1.36/1.13 tff(243,plain,
% 1.36/1.13 ((~(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(244,plain,
% 1.36/1.13 ((~(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[243, 242])).
% 1.36/1.13 tff(245,plain,
% 1.36/1.13 (rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[244, 49])).
% 1.36/1.13 tff(246,assumption,((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)))))), introduced(assumption)).
% 1.36/1.13 tff(247,plain,
% 1.36/1.13 (^[X: $i] : refl((~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))))),
% 1.36/1.13 inference(bind,[status(th)],[])).
% 1.36/1.13 tff(248,plain,
% 1.36/1.13 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 1.36/1.13 inference(quant_intro,[status(thm)],[247])).
% 1.36/1.13 tff(249,plain,
% 1.36/1.13 (^[X: $i] : rewrite((~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))))),
% 1.36/1.13 inference(bind,[status(th)],[])).
% 1.36/1.13 tff(250,plain,
% 1.36/1.13 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 1.36/1.13 inference(quant_intro,[status(thm)],[249])).
% 1.36/1.13 tff(251,plain,
% 1.36/1.13 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 1.36/1.13 inference(transitivity,[status(thm)],[250, 248])).
% 1.36/1.13 tff(252,plain,
% 1.36/1.13 (^[X: $i] : trans(monotonicity(rewrite(((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) <=> ((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))), rewrite((cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y)))) <=> (cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))), ((((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))))) <=> (((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X)))))) & (cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))), rewrite((((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X)))))) & (cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))), ((((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))))),
% 1.36/1.13 inference(bind,[status(th)],[])).
% 1.36/1.13 tff(253,plain,
% 1.36/1.13 (![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 1.36/1.13 inference(quant_intro,[status(thm)],[252])).
% 1.36/1.13 tff(254,plain,
% 1.36/1.13 (^[X: $i] : rewrite((((~cd(X)) | ((rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))) | (~cc(X))))) <=> (((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))))))),
% 1.36/1.13 inference(bind,[status(th)],[])).
% 1.36/1.13 tff(255,plain,
% 1.36/1.13 (![X: $i] : (((~cd(X)) | ((rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))) | (~cc(X))))) <=> ![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y)))))),
% 1.36/1.13 inference(quant_intro,[status(thm)],[254])).
% 1.36/1.13 tff(256,plain,
% 1.36/1.13 (![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & ccxcomp(Y)) & cc(X))) <=> ![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & ccxcomp(Y)) & cc(X)))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(257,axiom,(![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & ccxcomp(Y)) & cc(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_5')).
% 1.36/1.13 tff(258,plain,
% 1.36/1.13 (![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & ccxcomp(Y)) & cc(X)))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[257, 256])).
% 1.36/1.13 tff(259,plain,(
% 1.36/1.13 ![X: $i] : (((~cd(X)) | ((rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))) | (~cc(X)))))),
% 1.36/1.13 inference(skolemize,[status(sab)],[258])).
% 1.36/1.13 tff(260,plain,
% 1.36/1.13 (![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y)))))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[259, 255])).
% 1.36/1.13 tff(261,plain,
% 1.36/1.13 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[260, 253])).
% 1.36/1.13 tff(262,plain,
% 1.36/1.13 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[261, 251])).
% 1.36/1.13 tff(263,plain,
% 1.36/1.13 (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y))))))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(264,plain,
% 1.36/1.13 ((~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)) | (~ccxcomp(Y))))))) <=> (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)))))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(265,plain,
% 1.36/1.13 (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)) | (~ccxcomp(Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y))))))))),
% 1.36/1.13 inference(monotonicity,[status(thm)],[264])).
% 1.36/1.13 tff(266,plain,
% 1.36/1.13 (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)) | (~ccxcomp(Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y))))))))),
% 1.36/1.13 inference(transitivity,[status(thm)],[265, 263])).
% 1.36/1.13 tff(267,plain,
% 1.36/1.13 ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)) | (~ccxcomp(Y)))))))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(268,plain,
% 1.36/1.13 ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)))))))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[267, 266])).
% 1.36/1.13 tff(269,plain,
% 1.36/1.13 ($false),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[268, 262, 246])).
% 1.36/1.13 tff(270,plain,(~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y))))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13 tff(271,plain,
% 1.36/1.13 (((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y)))))) | ((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(272,plain,
% 1.36/1.13 ((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[271, 270])).
% 1.36/1.13 tff(273,plain,
% 1.36/1.13 (((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(274,plain,
% 1.36/1.13 (cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[273, 240])).
% 1.36/1.13 tff(275,plain,
% 1.36/1.13 ((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(276,plain,
% 1.36/1.13 ((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[275, 274])).
% 1.36/1.13 tff(277,plain,
% 1.36/1.13 (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[276, 272])).
% 1.36/1.13 tff(278,plain,
% 1.36/1.13 (((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.13 inference(tautology,[status(thm)],[])).
% 1.36/1.13 tff(279,plain,
% 1.36/1.13 (rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[278, 277])).
% 1.36/1.13 tff(280,plain,
% 1.36/1.13 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(281,plain,
% 1.36/1.13 (((tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) <=> ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.13 inference(rewrite,[status(thm)],[])).
% 1.36/1.13 tff(282,plain,
% 1.36/1.13 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | ((tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.13 inference(monotonicity,[status(thm)],[281])).
% 1.36/1.13 tff(283,plain,
% 1.36/1.13 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | ((tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.13 inference(transitivity,[status(thm)],[282, 280])).
% 1.36/1.13 tff(284,plain,
% 1.36/1.13 ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | ((tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.13 inference(quant_inst,[status(thm)],[])).
% 1.36/1.13 tff(285,plain,
% 1.36/1.13 ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.13 inference(modus_ponens,[status(thm)],[284, 283])).
% 1.36/1.13 tff(286,plain,
% 1.36/1.13 ($false),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[285, 279, 245, 38, 37])).
% 1.36/1.13 tff(287,plain,((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))) | (tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.13 tff(288,plain,
% 1.36/1.13 (tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.13 inference(unit_resolution,[status(thm)],[287, 36])).
% 1.36/1.13 tff(289,plain,
% 1.36/1.13 (cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.13 inference(monotonicity,[status(thm)],[288])).
% 1.36/1.13 tff(290,plain,
% 1.36/1.13 (cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) <=> cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.14 inference(symmetry,[status(thm)],[289])).
% 1.36/1.14 tff(291,plain,
% 1.36/1.14 ((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) <=> (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 1.36/1.14 inference(monotonicity,[status(thm)],[290])).
% 1.36/1.14 tff(292,assumption,((~(cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y_2(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y))))), introduced(assumption)).
% 1.36/1.14 tff(293,plain,
% 1.36/1.14 (^[X: $i] : rewrite((~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))) <=> (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))))))),
% 1.36/1.14 inference(bind,[status(th)],[])).
% 1.36/1.14 tff(294,plain,
% 1.36/1.14 (![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))) <=> ![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))))))),
% 1.36/1.14 inference(quant_intro,[status(thm)],[293])).
% 1.36/1.14 tff(295,plain,
% 1.36/1.14 (^[X: $i] : refl((~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))) <=> (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))))),
% 1.36/1.14 inference(bind,[status(th)],[])).
% 1.36/1.14 tff(296,plain,
% 1.36/1.14 (![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))) <=> ![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))))),
% 1.36/1.14 inference(quant_intro,[status(thm)],[295])).
% 1.36/1.14 tff(297,plain,
% 1.36/1.14 (^[X: $i] : rewrite((~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))) <=> (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))))),
% 1.36/1.14 inference(bind,[status(th)],[])).
% 1.36/1.14 tff(298,plain,
% 1.36/1.14 (![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))) <=> ![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))))),
% 1.36/1.14 inference(quant_intro,[status(thm)],[297])).
% 1.36/1.14 tff(299,plain,
% 1.36/1.14 (![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))) <=> ![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))))),
% 1.36/1.14 inference(transitivity,[status(thm)],[298, 296])).
% 1.36/1.14 tff(300,plain,
% 1.36/1.14 (^[X: $i] : trans(monotonicity(rewrite(((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))) <=> ((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))), ((((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))) & (cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) <=> (((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))) & (cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))))), rewrite((((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))) & (cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) <=> (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))))), ((((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))) & (cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) <=> (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))))))),
% 1.36/1.14 inference(bind,[status(th)],[])).
% 1.36/1.14 tff(301,plain,
% 1.36/1.14 (![X: $i] : (((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))) & (cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) <=> ![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))))),
% 1.36/1.14 inference(quant_intro,[status(thm)],[300])).
% 1.36/1.14 tff(302,plain,
% 1.36/1.14 (![X: $i] : (cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y))) <=> ![X: $i] : (cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y)))),
% 1.36/1.14 inference(rewrite,[status(thm)],[])).
% 1.36/1.14 tff(303,axiom,(![X: $i] : (cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 1.36/1.14 tff(304,plain,
% 1.36/1.14 (![X: $i] : (cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y)))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[303, 302])).
% 1.36/1.14 tff(305,plain,(
% 1.36/1.14 ![X: $i] : (((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))) & (cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))),
% 1.36/1.14 inference(skolemize,[status(sab)],[304])).
% 1.36/1.14 tff(306,plain,
% 1.36/1.14 (![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[305, 301])).
% 1.36/1.14 tff(307,plain,
% 1.36/1.14 (![X: $i] : (~((~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))) | (~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X))))))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[306, 299])).
% 1.36/1.14 tff(308,plain,
% 1.36/1.14 (![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))))))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[307, 294])).
% 1.36/1.14 tff(309,plain,
% 1.36/1.14 ((~![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))))))) | (~((~(cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y_2(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y))))))),
% 1.36/1.14 inference(quant_inst,[status(thm)],[])).
% 1.36/1.14 tff(310,plain,
% 1.36/1.14 ($false),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[309, 308, 292])).
% 1.36/1.14 tff(311,plain,(~((~(cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y_2(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y)))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14 tff(312,plain,
% 1.36/1.14 (((~(cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y_2(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y))))) | ((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y)))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(313,plain,
% 1.36/1.14 ((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[312, 311])).
% 1.36/1.14 tff(314,assumption,(![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y))), introduced(assumption)).
% 1.36/1.14 tff(315,plain,
% 1.36/1.14 (^[X: $i] : refl((~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))))),
% 1.36/1.14 inference(bind,[status(th)],[])).
% 1.36/1.14 tff(316,plain,
% 1.36/1.14 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> ![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 1.36/1.14 inference(quant_intro,[status(thm)],[315])).
% 1.36/1.14 tff(317,plain,
% 1.36/1.14 (^[X: $i] : rewrite((~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))))),
% 1.36/1.14 inference(bind,[status(th)],[])).
% 1.36/1.14 tff(318,plain,
% 1.36/1.14 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> ![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 1.36/1.14 inference(quant_intro,[status(thm)],[317])).
% 1.36/1.14 tff(319,plain,
% 1.36/1.14 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> ![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 1.36/1.14 inference(transitivity,[status(thm)],[318, 316])).
% 1.36/1.14 tff(320,plain,
% 1.36/1.14 (^[X: $i] : trans(monotonicity(rewrite((ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))) <=> (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))), ((((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))) <=> (((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))), rewrite((((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))) <=> (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))), ((((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))) <=> (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))))),
% 1.36/1.14 inference(bind,[status(th)],[])).
% 1.36/1.14 tff(321,plain,
% 1.36/1.14 (![X: $i] : (((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))) <=> ![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 1.36/1.14 inference(quant_intro,[status(thm)],[320])).
% 1.36/1.14 tff(322,plain,
% 1.36/1.14 (![X: $i] : (ccxcomp(X) <=> ?[Y0: $i] : ra_Px1(X, Y0)) <=> ![X: $i] : (ccxcomp(X) <=> ?[Y0: $i] : ra_Px1(X, Y0))),
% 1.36/1.14 inference(rewrite,[status(thm)],[])).
% 1.36/1.14 tff(323,axiom,(![X: $i] : (ccxcomp(X) <=> ?[Y0: $i] : ra_Px1(X, Y0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_4')).
% 1.36/1.14 tff(324,plain,
% 1.36/1.14 (![X: $i] : (ccxcomp(X) <=> ?[Y0: $i] : ra_Px1(X, Y0))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[323, 322])).
% 1.36/1.14 tff(325,plain,(
% 1.36/1.14 ![X: $i] : (((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))),
% 1.36/1.14 inference(skolemize,[status(sab)],[324])).
% 1.36/1.14 tff(326,plain,
% 1.36/1.14 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[325, 321])).
% 1.36/1.14 tff(327,plain,
% 1.36/1.14 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[326, 319])).
% 1.36/1.14 tff(328,plain,
% 1.36/1.14 ((~![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))) | (~((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y0: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y0))))))),
% 1.36/1.14 inference(quant_inst,[status(thm)],[])).
% 1.36/1.14 tff(329,plain,
% 1.36/1.14 (~((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y0: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y0)))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[328, 327])).
% 1.36/1.14 tff(330,plain,
% 1.36/1.14 (((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ![Y0: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y0))))) | ((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(331,plain,
% 1.36/1.14 ((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[330, 329])).
% 1.36/1.14 tff(332,plain,
% 1.36/1.14 (((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(333,plain,
% 1.36/1.14 (ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[332, 277])).
% 1.36/1.14 tff(334,plain,
% 1.36/1.14 ((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(335,plain,
% 1.36/1.14 ((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[334, 333])).
% 1.36/1.14 tff(336,plain,
% 1.36/1.14 (ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[335, 331])).
% 1.36/1.14 tff(337,plain,
% 1.36/1.14 ((~![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y))) | (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.14 inference(quant_inst,[status(thm)],[])).
% 1.36/1.14 tff(338,plain,
% 1.36/1.14 ($false),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[337, 336, 314])).
% 1.36/1.14 tff(339,plain,(~![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14 tff(340,plain,
% 1.36/1.14 ((~((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y)))) | (~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(341,plain,
% 1.36/1.14 ((~((~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), Y)))) | (~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[340, 339])).
% 1.36/1.14 tff(342,plain,
% 1.36/1.14 (~cc(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[341, 313])).
% 1.36/1.14 tff(343,plain,
% 1.36/1.14 (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[342, 291])).
% 1.36/1.14 tff(344,assumption,((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)))))), introduced(assumption)).
% 1.36/1.14 tff(345,plain,
% 1.36/1.14 (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))))))),
% 1.36/1.14 inference(rewrite,[status(thm)],[])).
% 1.36/1.14 tff(346,plain,
% 1.36/1.14 ((~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)) | (~ccxcomp(Y))))))) <=> (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)))))))),
% 1.36/1.14 inference(rewrite,[status(thm)],[])).
% 1.36/1.14 tff(347,plain,
% 1.36/1.14 (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)) | (~ccxcomp(Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))))))),
% 1.36/1.14 inference(monotonicity,[status(thm)],[346])).
% 1.36/1.14 tff(348,plain,
% 1.36/1.14 (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)) | (~ccxcomp(Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))))))),
% 1.36/1.14 inference(transitivity,[status(thm)],[347, 345])).
% 1.36/1.14 tff(349,plain,
% 1.36/1.14 ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)) | (~ccxcomp(Y)))))))),
% 1.36/1.14 inference(quant_inst,[status(thm)],[])).
% 1.36/1.14 tff(350,plain,
% 1.36/1.14 ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)))))))),
% 1.36/1.14 inference(modus_ponens,[status(thm)],[349, 348])).
% 1.36/1.14 tff(351,plain,
% 1.36/1.14 ($false),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[350, 262, 344])).
% 1.36/1.14 tff(352,plain,(~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.14 tff(353,plain,
% 1.36/1.14 (((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)))))) | ((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(354,plain,
% 1.36/1.14 ((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[353, 352])).
% 1.36/1.14 tff(355,plain,
% 1.36/1.14 (((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(356,plain,
% 1.36/1.14 (cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[355, 198])).
% 1.36/1.14 tff(357,plain,
% 1.36/1.14 ((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(358,plain,
% 1.36/1.14 ((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[357, 356])).
% 1.36/1.14 tff(359,plain,
% 1.36/1.14 (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[358, 354])).
% 1.36/1.14 tff(360,plain,
% 1.36/1.14 (((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.14 inference(tautology,[status(thm)],[])).
% 1.36/1.14 tff(361,plain,
% 1.36/1.14 (cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[360, 359])).
% 1.36/1.14 tff(362,plain,
% 1.36/1.14 ($false),
% 1.36/1.14 inference(unit_resolution,[status(thm)],[361, 343])).
% 1.36/1.14 % SZS output end Proof
%------------------------------------------------------------------------------