TSTP Solution File: LCL676+1.010 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL676+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 04:57:47 EDT 2022
% Result : Theorem 0.64s 0.65s
% Output : Proof 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL676+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Sep 2 00:01:01 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.32 Usage: tptp [options] [-file:]file
% 0.11/0.32 -h, -? prints this message.
% 0.11/0.32 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.32 -m, -model generate model.
% 0.11/0.32 -p, -proof generate proof.
% 0.11/0.32 -c, -core generate unsat core of named formulas.
% 0.11/0.32 -st, -statistics display statistics.
% 0.11/0.32 -t:timeout set timeout (in second).
% 0.11/0.32 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.32 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.32 -<param>:<value> configuration parameter and value.
% 0.11/0.32 -o:<output-file> file to place output in.
% 0.64/0.65 % SZS status Theorem
% 0.64/0.65 % SZS output start Proof
% 0.64/0.65 tff(r1_type, type, (
% 0.64/0.65 r1: ( $i * $i ) > $o)).
% 0.64/0.65 tff(tptp_fun_X_5_type, type, (
% 0.64/0.65 tptp_fun_X_5: $i > $i)).
% 0.64/0.65 tff(tptp_fun_X_21_type, type, (
% 0.64/0.65 tptp_fun_X_21: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_4_type, type, (
% 0.64/0.65 tptp_fun_Y_4: $i)).
% 0.64/0.65 tff(p2_type, type, (
% 0.64/0.65 p2: $i > $o)).
% 0.64/0.65 tff(tptp_fun_Y_6_type, type, (
% 0.64/0.65 tptp_fun_Y_6: $i > $i)).
% 0.64/0.65 tff(tptp_fun_X_0_type, type, (
% 0.64/0.65 tptp_fun_X_0: $i)).
% 0.64/0.65 tff(tptp_fun_Y_47_type, type, (
% 0.64/0.65 tptp_fun_Y_47: $i > $i)).
% 0.64/0.65 tff(p1_type, type, (
% 0.64/0.65 p1: $i > $o)).
% 0.64/0.65 tff(tptp_fun_Y_52_type, type, (
% 0.64/0.65 tptp_fun_Y_52: $i)).
% 0.64/0.65 tff(tptp_fun_X_53_type, type, (
% 0.64/0.65 tptp_fun_X_53: $i)).
% 0.64/0.65 tff(tptp_fun_Y_50_type, type, (
% 0.64/0.65 tptp_fun_Y_50: $i)).
% 0.64/0.65 tff(tptp_fun_X_51_type, type, (
% 0.64/0.65 tptp_fun_X_51: $i)).
% 0.64/0.65 tff(p3_type, type, (
% 0.64/0.65 p3: $i > $o)).
% 0.64/0.65 tff(tptp_fun_Y_48_type, type, (
% 0.64/0.65 tptp_fun_Y_48: $i)).
% 0.64/0.65 tff(tptp_fun_X_49_type, type, (
% 0.64/0.65 tptp_fun_X_49: $i)).
% 0.64/0.65 tff(p4_type, type, (
% 0.64/0.65 p4: $i > $o)).
% 0.64/0.65 tff(tptp_fun_Y_45_type, type, (
% 0.64/0.65 tptp_fun_Y_45: $i)).
% 0.64/0.65 tff(tptp_fun_X_46_type, type, (
% 0.64/0.65 tptp_fun_X_46: $i)).
% 0.64/0.65 tff(tptp_fun_X_35_type, type, (
% 0.64/0.65 tptp_fun_X_35: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_34_type, type, (
% 0.64/0.65 tptp_fun_Y_34: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_42_type, type, (
% 0.64/0.65 tptp_fun_Y_42: $i)).
% 0.64/0.65 tff(tptp_fun_Y_44_type, type, (
% 0.64/0.65 tptp_fun_Y_44: $i)).
% 0.64/0.65 tff(tptp_fun_X_43_type, type, (
% 0.64/0.65 tptp_fun_X_43: $i)).
% 0.64/0.65 tff(tptp_fun_Y_39_type, type, (
% 0.64/0.65 tptp_fun_Y_39: $i)).
% 0.64/0.65 tff(tptp_fun_Y_41_type, type, (
% 0.64/0.65 tptp_fun_Y_41: $i)).
% 0.64/0.65 tff(tptp_fun_X_40_type, type, (
% 0.64/0.65 tptp_fun_X_40: $i)).
% 0.64/0.65 tff(tptp_fun_Y_36_type, type, (
% 0.64/0.65 tptp_fun_Y_36: $i)).
% 0.64/0.65 tff(tptp_fun_Y_38_type, type, (
% 0.64/0.65 tptp_fun_Y_38: $i)).
% 0.64/0.65 tff(tptp_fun_X_37_type, type, (
% 0.64/0.65 tptp_fun_X_37: $i)).
% 0.64/0.65 tff(tptp_fun_Y_31_type, type, (
% 0.64/0.65 tptp_fun_Y_31: $i)).
% 0.64/0.65 tff(tptp_fun_Y_33_type, type, (
% 0.64/0.65 tptp_fun_Y_33: $i)).
% 0.64/0.65 tff(tptp_fun_X_32_type, type, (
% 0.64/0.65 tptp_fun_X_32: $i)).
% 0.64/0.65 tff(tptp_fun_Y_30_type, type, (
% 0.64/0.65 tptp_fun_Y_30: $i > $i)).
% 0.64/0.65 tff(tptp_fun_X_29_type, type, (
% 0.64/0.65 tptp_fun_X_29: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_28_type, type, (
% 0.64/0.65 tptp_fun_Y_28: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_24_type, type, (
% 0.64/0.65 tptp_fun_Y_24: $i)).
% 0.64/0.65 tff(tptp_fun_X_27_type, type, (
% 0.64/0.65 tptp_fun_X_27: $i)).
% 0.64/0.65 tff(tptp_fun_Y_26_type, type, (
% 0.64/0.65 tptp_fun_Y_26: $i)).
% 0.64/0.65 tff(tptp_fun_X_25_type, type, (
% 0.64/0.65 tptp_fun_X_25: $i)).
% 0.64/0.65 tff(tptp_fun_X_23_type, type, (
% 0.64/0.65 tptp_fun_X_23: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_22_type, type, (
% 0.64/0.65 tptp_fun_Y_22: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_18_type, type, (
% 0.64/0.65 tptp_fun_Y_18: $i)).
% 0.64/0.65 tff(tptp_fun_X_15_type, type, (
% 0.64/0.65 tptp_fun_X_15: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_14_type, type, (
% 0.64/0.65 tptp_fun_Y_14: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_20_type, type, (
% 0.64/0.65 tptp_fun_Y_20: $i)).
% 0.64/0.65 tff(tptp_fun_X_19_type, type, (
% 0.64/0.65 tptp_fun_X_19: $i)).
% 0.64/0.65 tff(tptp_fun_X_17_type, type, (
% 0.64/0.65 tptp_fun_X_17: $i)).
% 0.64/0.65 tff(tptp_fun_Y_16_type, type, (
% 0.64/0.65 tptp_fun_Y_16: $i)).
% 0.64/0.65 tff(tptp_fun_Y_13_type, type, (
% 0.64/0.65 tptp_fun_Y_13: $i)).
% 0.64/0.65 tff(tptp_fun_Y_12_type, type, (
% 0.64/0.65 tptp_fun_Y_12: $i > $i)).
% 0.64/0.65 tff(tptp_fun_X_11_type, type, (
% 0.64/0.65 tptp_fun_X_11: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_9_type, type, (
% 0.64/0.65 tptp_fun_Y_9: $i)).
% 0.64/0.65 tff(tptp_fun_X_10_type, type, (
% 0.64/0.65 tptp_fun_X_10: $i)).
% 0.64/0.65 tff(p5_type, type, (
% 0.64/0.65 p5: $i > $o)).
% 0.64/0.65 tff(tptp_fun_Y_8_type, type, (
% 0.64/0.65 tptp_fun_Y_8: $i > $i)).
% 0.64/0.65 tff(tptp_fun_X_7_type, type, (
% 0.64/0.65 tptp_fun_X_7: $i > $i)).
% 0.64/0.65 tff(tptp_fun_X_3_type, type, (
% 0.64/0.65 tptp_fun_X_3: $i > $i)).
% 0.64/0.65 tff(tptp_fun_Y_2_type, type, (
% 0.64/0.65 tptp_fun_Y_2: $i)).
% 0.64/0.65 tff(tptp_fun_Y_1_type, type, (
% 0.64/0.65 tptp_fun_Y_1: $i)).
% 0.64/0.65 tff(1,plain,
% 0.64/0.65 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))),
% 0.64/0.65 inference(bind,[status(th)],[])).
% 0.64/0.65 tff(2,plain,
% 0.64/0.65 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 0.64/0.65 inference(quant_intro,[status(thm)],[1])).
% 0.64/0.65 tff(3,plain,
% 0.64/0.65 (^[Y: $i] : refl((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))))),
% 0.64/0.65 inference(bind,[status(th)],[])).
% 0.64/0.65 tff(4,plain,
% 0.64/0.65 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))))),
% 0.64/0.65 inference(quant_intro,[status(thm)],[3])).
% 0.64/0.65 tff(5,plain,
% 0.64/0.65 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))))),
% 0.64/0.65 inference(bind,[status(th)],[])).
% 0.64/0.65 tff(6,plain,
% 0.64/0.65 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))))),
% 0.64/0.65 inference(quant_intro,[status(thm)],[5])).
% 0.64/0.65 tff(7,plain,
% 0.64/0.65 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))))),
% 0.64/0.65 inference(transitivity,[status(thm)],[6, 4])).
% 0.64/0.65 tff(8,plain,
% 0.64/0.65 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))))),
% 0.64/0.65 inference(bind,[status(th)],[])).
% 0.64/0.65 tff(9,plain,
% 0.64/0.65 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))))),
% 0.64/0.65 inference(quant_intro,[status(thm)],[8])).
% 0.64/0.65 tff(10,plain,
% 0.64/0.65 (((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_22(X)) & r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(X), Y))))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!24, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_28(X)) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & r1(Y!31, X!32) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & r1(X!32, Y!33) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!36) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & r1(Y!36, X!37) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & r1(X!37, Y!38) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!36, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & r1(Y!39, X!40) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & r1(X!40, Y!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!42) & (~p1(Y!42)) & r1(Y!42, X!43) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & r1(X!43, Y!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!42, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!48) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & r1(Y!48, X!49) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!48, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!50) & (~p1(Y!50)) & (~p2(Y!50)) & r1(Y!50, X!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!50, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!52) & (~p1(Y!52)) & r1(Y!52, X!53) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!52, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_47(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_22(X)) & r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(X), Y))))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!24, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_28(X)) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & r1(Y!31, X!32) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & r1(X!32, Y!33) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!36) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & r1(Y!36, X!37) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & r1(X!37, Y!38) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!36, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & r1(Y!39, X!40) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & r1(X!40, Y!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!42) & (~p1(Y!42)) & r1(Y!42, X!43) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & r1(X!43, Y!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!42, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!48) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & r1(Y!48, X!49) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!48, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!50) & (~p1(Y!50)) & (~p2(Y!50)) & r1(Y!50, X!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!50, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!52) & (~p1(Y!52)) & r1(Y!52, X!53) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!52, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_47(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))),
% 0.64/0.66 inference(rewrite,[status(thm)],[])).
% 0.64/0.66 tff(11,plain,
% 0.64/0.66 (((((((~(~r1(X!0, Y!13))) & (~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!16))) & (~(~p2(Y!16))) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | ((~(~r1(X!0, Y!18))) & ((((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | ((~(~r1(Y, tptp_fun_X_21(Y)))) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_21(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & ((~(~r1(X, tptp_fun_Y_22(X)))) & ((~(~r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)))) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~r1(tptp_fun_X_23(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!24))) & (~p1(Y!24)) & ((~(~r1(Y!24, X!25))) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & ((~(~r1(X!25, Y!26))) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (~(~r1(Y!26, X!27))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_28(X)))) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!31))) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & ((~(~r1(Y!31, X!32))) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & (~(~r1(X!32, Y!33)))) & ![X: $i] : ((~r1(Y!31, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!36))) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & ((~(~r1(Y!36, X!37))) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & (~(~r1(X!37, Y!38)))) & ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!39))) & (~p1(Y!39)) & (~p2(Y!39)) & ((~(~r1(Y!39, X!40))) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & (~(~r1(X!40, Y!41)))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!42))) & (~p1(Y!42)) & ((~(~r1(Y!42, X!43))) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & (~(~r1(X!43, Y!44)))) & ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!45))) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & (~(~r1(Y!45, X!46))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!48))) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & (~(~r1(Y!48, X!49))) & ![X: $i] : ((~r1(Y!48, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!50))) & (~p1(Y!50)) & (~p2(Y!50)) & (~(~r1(Y!50, X!51))) & ![X: $i] : ((~r1(Y!50, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!52))) & (~p1(Y!52)) & (~(~r1(Y!52, X!53))) & ![X: $i] : ((~r1(Y!52, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_21(Y)))) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_21(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) <=> (((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_22(X)) & r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(X), Y))))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!24, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_28(X)) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & r1(Y!31, X!32) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & r1(X!32, Y!33) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!36) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & r1(Y!36, X!37) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & r1(X!37, Y!38) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!36, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & r1(Y!39, X!40) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & r1(X!40, Y!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!42) & (~p1(Y!42)) & r1(Y!42, X!43) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & r1(X!43, Y!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!42, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!48) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & r1(Y!48, X!49) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!48, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!50) & (~p1(Y!50)) & (~p2(Y!50)) & r1(Y!50, X!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!50, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!52) & (~p1(Y!52)) & r1(Y!52, X!53) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!52, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_47(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(12,plain,
% 0.64/0.67 (^[Y: $i] : trans(monotonicity(rewrite(((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))) <=> (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> ((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))))), rewrite(((~r1(X!0, Y)) | p1(Y) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))), (((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))))),
% 0.64/0.67 inference(bind,[status(th)],[])).
% 0.64/0.67 tff(13,plain,
% 0.64/0.67 (![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y))))))),
% 0.64/0.67 inference(quant_intro,[status(thm)],[12])).
% 0.64/0.67 tff(14,plain,
% 0.64/0.67 (((r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))))),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(15,plain,
% 0.64/0.67 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(16,plain,
% 0.64/0.67 ((r1(X!0, Y!9) & (r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) & (~p1(Y!9))) <=> (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(17,plain,
% 0.64/0.67 (((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) <=> (r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(18,plain,
% 0.64/0.67 ((~(~r1(X!0, Y!9))) <=> r1(X!0, Y!9)),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(19,plain,
% 0.64/0.67 (((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) <=> (r1(X!0, Y!9) & (r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) & (~p1(Y!9)))),
% 0.64/0.67 inference(monotonicity,[status(thm)],[18, 17])).
% 0.64/0.67 tff(20,plain,
% 0.64/0.67 (((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) <=> (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))),
% 0.64/0.67 inference(transitivity,[status(thm)],[19, 16])).
% 0.64/0.67 tff(21,plain,
% 0.64/0.67 ((((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> ((r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 0.64/0.67 inference(monotonicity,[status(thm)],[20, 15])).
% 0.64/0.67 tff(22,plain,
% 0.64/0.67 ((((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))))),
% 0.64/0.67 inference(transitivity,[status(thm)],[21, 14])).
% 0.64/0.67 tff(23,plain,
% 0.64/0.67 (^[Y: $i] : trans(monotonicity(rewrite(((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y))))) <=> (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))), (((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> ((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))))), rewrite(((~r1(X!0, Y)) | p3(Y) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) <=> (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y)))))))), (((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y)))))))))),
% 0.64/0.67 inference(bind,[status(th)],[])).
% 0.64/0.67 tff(24,plain,
% 0.64/0.67 (![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) <=> ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y)))))))),
% 0.64/0.67 inference(quant_intro,[status(thm)],[23])).
% 0.64/0.67 tff(25,plain,
% 0.64/0.67 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(26,plain,
% 0.64/0.67 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 0.64/0.67 inference(monotonicity,[status(thm)],[15])).
% 0.64/0.67 tff(27,plain,
% 0.64/0.67 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))))),
% 0.64/0.67 inference(transitivity,[status(thm)],[26, 25])).
% 0.64/0.67 tff(28,plain,
% 0.64/0.67 ((~((~r1(X!0, Y!2)) | p1(Y!2))) <=> (~((~r1(X!0, Y!2)) | p1(Y!2)))),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(29,plain,
% 0.64/0.67 ((~((~r1(X!0, Y!1)) | p3(Y!1))) <=> (~(p3(Y!1) | (~r1(X!0, Y!1))))),
% 0.64/0.67 inference(rewrite,[status(thm)],[])).
% 0.64/0.67 tff(30,plain,
% 0.64/0.67 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & (((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((((~(~r1(X!0, Y!13))) & (~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!16))) & (~(~p2(Y!16))) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | ((~(~r1(X!0, Y!18))) & ((((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | ((~(~r1(Y, tptp_fun_X_21(Y)))) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_21(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & ((~(~r1(X, tptp_fun_Y_22(X)))) & ((~(~r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)))) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~r1(tptp_fun_X_23(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!24))) & (~p1(Y!24)) & ((~(~r1(Y!24, X!25))) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & ((~(~r1(X!25, Y!26))) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (~(~r1(Y!26, X!27))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_28(X)))) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!31))) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & ((~(~r1(Y!31, X!32))) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & (~(~r1(X!32, Y!33)))) & ![X: $i] : ((~r1(Y!31, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!36))) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & ((~(~r1(Y!36, X!37))) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & (~(~r1(X!37, Y!38)))) & ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!39))) & (~p1(Y!39)) & (~p2(Y!39)) & ((~(~r1(Y!39, X!40))) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & (~(~r1(X!40, Y!41)))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!42))) & (~p1(Y!42)) & ((~(~r1(Y!42, X!43))) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & (~(~r1(X!43, Y!44)))) & ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!45))) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & (~(~r1(Y!45, X!46))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!48))) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & (~(~r1(Y!48, X!49))) & ![X: $i] : ((~r1(Y!48, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!50))) & (~p1(Y!50)) & (~p2(Y!50)) & (~(~r1(Y!50, X!51))) & ![X: $i] : ((~r1(Y!50, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!52))) & (~p1(Y!52)) & (~(~r1(Y!52, X!53))) & ![X: $i] : ((~r1(Y!52, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_21(Y)))) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_21(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & (((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_22(X)) & r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(X), Y))))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!24, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_28(X)) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & r1(Y!31, X!32) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & r1(X!32, Y!33) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!36) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & r1(Y!36, X!37) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & r1(X!37, Y!38) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!36, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & r1(Y!39, X!40) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & r1(X!40, Y!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!42) & (~p1(Y!42)) & r1(Y!42, X!43) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & r1(X!43, Y!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!42, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!48) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & r1(Y!48, X!49) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!48, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!50) & (~p1(Y!50)) & (~p2(Y!50)) & r1(Y!50, X!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!50, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!52) & (~p1(Y!52)) & r1(Y!52, X!53) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!52, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_47(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))))),
% 0.64/0.68 inference(monotonicity,[status(thm)],[29, 28, 27, 24, 22, 13, 11])).
% 0.64/0.68 tff(31,plain,
% 0.64/0.68 (((~((~r1(X!0, Y!1)) | p3(Y!1))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | ((~(~r1(Y, tptp_fun_X_7(Y)))) & (~(~p3(tptp_fun_X_7(Y)))) & (~((~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | p3(tptp_fun_Y_8(Y)))))) & (((~(~r1(X!0, Y!9))) & ((~(~r1(Y!9, X!10))) & ![Y: $i] : ((~r1(X!10, Y)) | (~p5(Y)))) & (~p1(Y!9))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | ((~(~r1(Y, tptp_fun_X_11(Y)))) & (~(~p1(tptp_fun_X_11(Y)))) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((((~(~r1(X!0, Y!13))) & (~p2(Y!13)) & ![X: $i] : ((~r1(Y!13, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | ((~(~r1(X!0, Y!16))) & (~(~p2(Y!16))) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | ((~(~r1(X!0, Y!18))) & ((((~(~r1(Y!18, X!19))) & ((~(~r1(X!19, Y!20))) & (~p2(Y!20)) & ![X: $i] : ((~r1(Y!20, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | p2(X) | ((~(~r1(X, tptp_fun_Y_14(X)))) & (~(~p2(tptp_fun_Y_14(X)))) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~r1(Y!18, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))) & ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | ((~(~r1(Y, tptp_fun_X_21(Y)))) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_21(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))) & (p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | ((![Y: $i] : ((~r1(X, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p2(tptp_fun_X_5(Y)))) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & ((~(~r1(X, tptp_fun_Y_22(X)))) & ((~(~r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)))) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~r1(tptp_fun_X_23(X), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~(~r1(X!0, Y!24))) & (~p1(Y!24)) & ((~(~r1(Y!24, X!25))) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & ((~(~r1(X!25, Y!26))) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & (~(~r1(Y!26, X!27))))) & ![X: $i] : ((~r1(Y!24, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_28(X)))) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & ((~(~r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)))) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & (~(~r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!31))) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & ((~(~r1(Y!31, X!32))) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & (~(~r1(X!32, Y!33)))) & ![X: $i] : ((~r1(Y!31, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!36))) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & ((~(~r1(Y!36, X!37))) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & (~(~r1(X!37, Y!38)))) & ![X: $i] : ((~r1(Y!36, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!39))) & (~p1(Y!39)) & (~p2(Y!39)) & ((~(~r1(Y!39, X!40))) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & (~(~r1(X!40, Y!41)))) & ![X: $i] : ((~r1(Y!39, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & (~p2(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~(~r1(X!0, Y!42))) & (~p1(Y!42)) & ((~(~r1(Y!42, X!43))) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & (~(~r1(X!43, Y!44)))) & ![X: $i] : ((~r1(Y!42, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | ((~p1(X)) & ((~(~r1(X, tptp_fun_Y_34(X)))) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & (~(~r1(tptp_fun_Y_34(X), tptp_fun_X_35(X))))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | p4(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!45))) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & (~(~r1(Y!45, X!46))) & ![X: $i] : ((~r1(Y!45, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | p2(X!0) | p3(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!48))) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & (~(~r1(Y!48, X!49))) & ![X: $i] : ((~r1(Y!48, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!50))) & (~p1(Y!50)) & (~p2(Y!50)) & (~(~r1(Y!50, X!51))) & ![X: $i] : ((~r1(Y!50, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~p2(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | ((~(~r1(X!0, Y!52))) & (~p1(Y!52)) & (~(~r1(Y!52, X!53))) & ![X: $i] : ((~r1(Y!52, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | ((~p1(X)) & (~(~r1(X, tptp_fun_Y_47(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | ((~(~r1(Y, tptp_fun_X_21(Y)))) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~r1(tptp_fun_X_21(Y), Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_22(X)) & r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(X), Y))))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!24, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_28(X)) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & r1(Y!31, X!32) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & r1(X!32, Y!33) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!36) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & r1(Y!36, X!37) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & r1(X!37, Y!38) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!36, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & r1(Y!39, X!40) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & r1(X!40, Y!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!42) & (~p1(Y!42)) & r1(Y!42, X!43) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & r1(X!43, Y!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!42, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!48) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & r1(Y!48, X!49) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!48, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!50) & (~p1(Y!50)) & (~p2(Y!50)) & r1(Y!50, X!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!50, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!52) & (~p1(Y!52)) & r1(Y!52, X!53) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!52, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_47(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))))),
% 0.64/0.69 inference(transitivity,[status(thm)],[30, 10])).
% 0.64/0.69 tff(32,plain,
% 0.64/0.69 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 0.64/0.69 inference(rewrite,[status(thm)],[])).
% 0.64/0.69 tff(33,plain,
% 0.64/0.69 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(34,plain,
% 0.71/0.70 ((~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))))))))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(35,plain,
% 0.71/0.70 ((~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))))),
% 0.71/0.71 inference(monotonicity,[status(thm)],[34])).
% 0.71/0.71 tff(36,plain,
% 0.71/0.71 ((~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 0.71/0.71 inference(transitivity,[status(thm)],[35, 33])).
% 0.71/0.71 tff(37,axiom,(~(~?[X: $i] : (~(((((((![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y))) | (~p3(X))))))) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) | (~(((((((((((((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))) & (p2(Y) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X)))))))) | (~((![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))) | (~p2(X))))))) & (p2(X) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y)))))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & ((p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((((((~r1(Y, X)) | p4(X)) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)))) | (~(p1(X) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)))))))))) & (((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((((~r1(X, Y)) | p4(Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((((p4(X) | p3(X)) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((((~r1(X, Y)) | p3(Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(((p3(X) | p2(X)) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & (((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : (((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | p2(Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~((p2(X) | p1(X)) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | ![X: $i] : ((~r1(Y, X)) | $false))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | $false))))))))) & ![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~![X: $i] : (((~r1(Y, X)) | p2(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))) | (~p2(Y))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 0.71/0.71 tff(38,plain,
% 0.71/0.71 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 0.71/0.72 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.71/0.72 tff(39,plain,
% 0.71/0.72 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | p3(Y)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)) | ((~![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p5(X)))))) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y)))))) | (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p5(Y))))) | p1(Y)) & (![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) | (~(((((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))) | (~![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y))))))) | (~(((~![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | (~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) & (p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | p2(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)))))))))) & (p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | p3(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | p2(X) | ![Y: $i] : (~r1(X, Y))))))))) & (p1(X) | ![Y: $i] : (~r1(X, Y)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X)) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~(p1(X) | ![Y: $i] : (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~![X: $i] : ((~r1(Y, X)) | p2(X) | (~![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))))))),
% 0.71/0.72 inference(modus_ponens,[status(thm)],[38, 32])).
% 0.71/0.72 tff(40,plain,
% 0.71/0.72 ((~(p3(Y!1) | (~r1(X!0, Y!1)))) & (~((~r1(X!0, Y!2)) | p1(Y!2))) & (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) & ![Y: $i] : (p3(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_7(Y)) & p3(tptp_fun_X_7(Y)) & (~(p3(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))))) & (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) & ![Y: $i] : (p1(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_11(Y)) & p1(tptp_fun_X_11(Y)) & (~((~r1(tptp_fun_X_11(Y), tptp_fun_Y_12(Y))) | p1(tptp_fun_Y_12(Y)))))) & ((((r1(X!0, Y!13) & (~p2(Y!13)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!13, X)))) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X)))))))) & (p2(X!0) | (r1(X!0, Y!16) & p2(Y!16) & (~((~r1(Y!16, X!17)) | p2(X!17)))))) | (r1(X!0, Y!18) & ((r1(Y!18, X!19) & r1(X!19, Y!20) & (~p2(Y!20)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!20, X))) & ![X: $i] : (p2(X) | (~r1(Y!18, X)) | (r1(X, tptp_fun_Y_14(X)) & p2(tptp_fun_Y_14(X)) & (~((~r1(tptp_fun_Y_14(X), tptp_fun_X_15(X))) | p2(tptp_fun_X_15(X))))))) | ((~p2(Y!18)) & ![X: $i] : ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y)) | (~r1(Y!18, X))))) & ![X: $i] : ((~r1(Y!18, X)) | ((~p2(X)) & ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ![Y: $i] : ((~r1(X, Y)) | ((![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y))))) & (p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) | (![Y: $i] : ((~r1(X, Y)) | p2(Y) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) & r1(X, tptp_fun_Y_22(X)) & r1(tptp_fun_Y_22(X), tptp_fun_X_23(X)) & (~p2(tptp_fun_X_23(X))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_23(X), Y))))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y))) | (~r1(X!0, Y))) | (r1(X!0, Y!24) & (~p1(Y!24)) & r1(Y!24, X!25) & (~p1(X!25)) & (~p2(X!25)) & (~p3(X!25)) & (~p4(X!25)) & r1(X!25, Y!26) & (~p1(Y!26)) & (~p2(Y!26)) & (~p3(Y!26)) & (~p4(Y!26)) & r1(Y!26, X!27) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))))) | (~r1(Y!24, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_28(X)) & (~p1(tptp_fun_Y_28(X))) & (~p2(tptp_fun_Y_28(X))) & (~p3(tptp_fun_Y_28(X))) & (~p4(tptp_fun_Y_28(X))) & r1(tptp_fun_Y_28(X), tptp_fun_X_29(X)) & (~p1(tptp_fun_X_29(X))) & (~p2(tptp_fun_X_29(X))) & (~p3(tptp_fun_X_29(X))) & (~p4(tptp_fun_X_29(X))) & r1(tptp_fun_X_29(X), tptp_fun_Y_30(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!31) & (~p1(Y!31)) & (~p2(Y!31)) & (~p3(Y!31)) & (~p4(Y!31)) & r1(Y!31, X!32) & (~p1(X!32)) & (~p2(X!32)) & (~p3(X!32)) & (~p4(X!32)) & r1(X!32, Y!33) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!31, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p3(X!0) | p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!36) & (~p1(Y!36)) & (~p2(Y!36)) & (~p3(Y!36)) & r1(Y!36, X!37) & (~p1(X!37)) & (~p2(X!37)) & (~p3(X!37)) & (~p4(X!37)) & r1(X!37, Y!38) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!36, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | p2(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!39) & (~p1(Y!39)) & (~p2(Y!39)) & r1(Y!39, X!40) & (~p1(X!40)) & (~p2(X!40)) & (~p3(X!40)) & (~p4(X!40)) & r1(X!40, Y!41) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!39, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p1(X!0) | ![Y: $i] : (p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X)) | (~r1(X!0, Y))) | (r1(X!0, Y!42) & (~p1(Y!42)) & r1(Y!42, X!43) & (~p1(X!43)) & (~p2(X!43)) & (~p3(X!43)) & (~p4(X!43)) & r1(X!43, Y!44) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : ((~r1(Y, X)) | p1(X) | p2(X) | p3(X) | p4(X) | ![Y: $i] : (~r1(X, Y)))) | (~r1(Y!42, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_34(X)) & (~p1(tptp_fun_Y_34(X))) & (~p2(tptp_fun_Y_34(X))) & (~p3(tptp_fun_Y_34(X))) & (~p4(tptp_fun_Y_34(X))) & r1(tptp_fun_Y_34(X), tptp_fun_X_35(X)))))) & (p4(X!0) | p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!45) & (~p1(Y!45)) & (~p2(Y!45)) & (~p3(Y!45)) & (~p4(Y!45)) & r1(Y!45, X!46) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | p4(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!45, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & (~p4(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p3(X!0) | p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!48) & (~p1(Y!48)) & (~p2(Y!48)) & (~p3(Y!48)) & r1(Y!48, X!49) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | p3(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!48, X)) | ((~p1(X)) & (~p2(X)) & (~p3(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | p2(X!0) | (r1(X!0, Y!50) & (~p1(Y!50)) & (~p2(Y!50)) & r1(Y!50, X!51) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | p2(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!50, X)) | ((~p1(X)) & (~p2(X)) & r1(X, tptp_fun_Y_47(X)))))) & (p1(X!0) | ![Y: $i] : (~r1(X!0, Y)) | (r1(X!0, Y!52) & (~p1(Y!52)) & r1(Y!52, X!53) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | p1(Y) | ![X: $i] : (~r1(Y, X))) | (~r1(Y!52, X)) | ((~p1(X)) & r1(X, tptp_fun_Y_47(X)))))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))),
% 0.71/0.72 inference(modus_ponens,[status(thm)],[39, 31])).
% 0.71/0.72 tff(41,plain,
% 0.71/0.72 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_21(Y)) & (~p2(tptp_fun_X_21(Y))) & ![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))),
% 0.71/0.72 inference(and_elim,[status(thm)],[40])).
% 0.71/0.72 tff(42,plain,
% 0.71/0.72 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))))),
% 0.71/0.72 inference(modus_ponens,[status(thm)],[41, 9])).
% 0.71/0.72 tff(43,plain,
% 0.71/0.72 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)) | (~r1(tptp_fun_X_21(Y), Y)))))))),
% 0.71/0.72 inference(modus_ponens,[status(thm)],[42, 7])).
% 0.71/0.72 tff(44,plain,
% 0.71/0.72 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[43, 2])).
% 0.71/0.73 tff(45,assumption,((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))), introduced(assumption)).
% 0.71/0.73 tff(46,plain,
% 0.71/0.73 (((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))) | (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))) | (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(47,plain,
% 0.71/0.73 (((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))) | (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))) | (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(48,plain,
% 0.71/0.73 ((r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9))) <=> (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(49,plain,
% 0.71/0.73 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(50,plain,
% 0.71/0.73 (^[Y: $i] : rewrite((p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) <=> (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))),
% 0.71/0.73 inference(bind,[status(th)],[])).
% 0.71/0.73 tff(51,plain,
% 0.71/0.73 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))) <=> ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))),
% 0.71/0.73 inference(quant_intro,[status(thm)],[50])).
% 0.71/0.73 tff(52,plain,
% 0.71/0.73 ((~((~r1(X!0, Y!4)) | p2(Y!4))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4)))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(53,plain,
% 0.71/0.73 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))),
% 0.71/0.73 inference(monotonicity,[status(thm)],[52, 51])).
% 0.71/0.73 tff(54,plain,
% 0.71/0.73 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) <=> (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))))),
% 0.71/0.73 inference(transitivity,[status(thm)],[53, 49])).
% 0.71/0.73 tff(55,plain,
% 0.71/0.73 ((((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))) | (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))))),
% 0.71/0.73 inference(monotonicity,[status(thm)],[54, 48])).
% 0.71/0.73 tff(56,plain,
% 0.71/0.73 ((((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))) <=> ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))) | (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))))),
% 0.71/0.73 inference(transitivity,[status(thm)],[55, 47])).
% 0.71/0.73 tff(57,plain,
% 0.71/0.73 (((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y))))))) | (r1(X!0, Y!9) & r1(Y!9, X!10) & ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))) & (~p1(Y!9)))),
% 0.71/0.73 inference(and_elim,[status(thm)],[40])).
% 0.71/0.73 tff(58,plain,
% 0.71/0.73 ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))) | (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.71/0.73 tff(59,plain,
% 0.71/0.73 ((~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))) | (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[58, 46])).
% 0.71/0.73 tff(60,plain,
% 0.71/0.73 (~((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))))),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[59, 45])).
% 0.71/0.73 tff(61,plain,
% 0.71/0.73 (((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))) | r1(Y!9, X!10)),
% 0.71/0.73 inference(tautology,[status(thm)],[])).
% 0.71/0.73 tff(62,plain,
% 0.71/0.73 (r1(Y!9, X!10)),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[61, 60])).
% 0.71/0.73 tff(63,plain,
% 0.71/0.73 (((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))) | r1(X!0, Y!9)),
% 0.71/0.73 inference(tautology,[status(thm)],[])).
% 0.71/0.73 tff(64,plain,
% 0.71/0.73 (r1(X!0, Y!9)),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[63, 60])).
% 0.71/0.73 tff(65,plain,
% 0.71/0.73 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(66,plain,
% 0.71/0.73 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((r1(X, Y) & r1(Y, Z)) <=> (~((~r1(Y, Z)) | (~r1(X, Y))))), ((~(r1(X, Y) & r1(Y, Z))) <=> (~(~((~r1(Y, Z)) | (~r1(X, Y))))))), rewrite((~(~((~r1(Y, Z)) | (~r1(X, Y))))) <=> ((~r1(Y, Z)) | (~r1(X, Y)))), ((~(r1(X, Y) & r1(Y, Z))) <=> ((~r1(Y, Z)) | (~r1(X, Y))))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)))), rewrite((((~r1(Y, Z)) | (~r1(X, Y))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))), (((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))))),
% 0.71/0.73 inference(bind,[status(th)],[])).
% 0.71/0.73 tff(67,plain,
% 0.71/0.73 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 0.71/0.73 inference(quant_intro,[status(thm)],[66])).
% 0.71/0.73 tff(68,plain,
% 0.71/0.73 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(69,plain,
% 0.71/0.73 (^[X: $i, Y: $i, Z: $i] : rewrite(((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z)))),
% 0.71/0.73 inference(bind,[status(th)],[])).
% 0.71/0.73 tff(70,plain,
% 0.71/0.73 (![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 0.71/0.73 inference(quant_intro,[status(thm)],[69])).
% 0.71/0.73 tff(71,axiom,(![X: $i, Y: $i, Z: $i] : ((r1(X, Y) & r1(Y, Z)) => r1(X, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','transitivity')).
% 0.71/0.73 tff(72,plain,
% 0.71/0.73 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.71/0.73 tff(73,plain,
% 0.71/0.73 (![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[72, 68])).
% 0.71/0.73 tff(74,plain,(
% 0.71/0.73 ![X: $i, Y: $i, Z: $i] : ((~(r1(X, Y) & r1(Y, Z))) | r1(X, Z))),
% 0.71/0.73 inference(skolemize,[status(sab)],[73])).
% 0.71/0.73 tff(75,plain,
% 0.71/0.73 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[74, 67])).
% 0.71/0.73 tff(76,plain,
% 0.71/0.73 (![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[75, 65])).
% 0.71/0.73 tff(77,plain,
% 0.71/0.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | r1(X!0, X!10))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | r1(X!0, X!10))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(78,plain,
% 0.71/0.73 ((r1(X!0, X!10) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9))) <=> ((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | r1(X!0, X!10))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(79,plain,
% 0.71/0.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!10) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | r1(X!0, X!10)))),
% 0.71/0.73 inference(monotonicity,[status(thm)],[78])).
% 0.71/0.73 tff(80,plain,
% 0.71/0.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!10) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | r1(X!0, X!10))),
% 0.71/0.73 inference(transitivity,[status(thm)],[79, 77])).
% 0.71/0.73 tff(81,plain,
% 0.71/0.73 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, X!10) | (~r1(Y!9, X!10)) | (~r1(X!0, Y!9)))),
% 0.71/0.73 inference(quant_inst,[status(thm)],[])).
% 0.71/0.73 tff(82,plain,
% 0.71/0.73 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | r1(X!0, X!10)),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.71/0.73 tff(83,plain,
% 0.71/0.73 (r1(X!0, X!10)),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[82, 76, 64, 62])).
% 0.71/0.73 tff(84,plain,
% 0.71/0.73 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(85,plain,
% 0.71/0.73 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(86,plain,
% 0.71/0.73 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))))),
% 0.71/0.73 inference(monotonicity,[status(thm)],[54])).
% 0.71/0.73 tff(87,plain,
% 0.71/0.73 ((![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))))),
% 0.71/0.73 inference(transitivity,[status(thm)],[86, 85])).
% 0.71/0.73 tff(88,plain,
% 0.71/0.73 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | ((~((~r1(X!0, Y!4)) | p2(Y!4))) & ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p2(tptp_fun_X_5(Y)) & (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)))))))),
% 0.71/0.73 inference(and_elim,[status(thm)],[40])).
% 0.71/0.73 tff(89,plain,
% 0.71/0.73 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.71/0.73 tff(90,plain,
% 0.71/0.73 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y)))))) | (~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[89, 84])).
% 0.71/0.73 tff(91,plain,
% 0.71/0.73 (![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[90, 45])).
% 0.71/0.73 tff(92,plain,
% 0.71/0.73 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))) | ((~r1(X!0, X!10)) | (~((~r1(X!10, tptp_fun_X_3(X!10))) | (~p5(tptp_fun_X_3(X!10))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))) | (~r1(X!0, X!10)) | (~((~r1(X!10, tptp_fun_X_3(X!10))) | (~p5(tptp_fun_X_3(X!10))))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(93,plain,
% 0.71/0.73 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))) | ((~r1(X!0, X!10)) | (~((~r1(X!10, tptp_fun_X_3(X!10))) | (~p5(tptp_fun_X_3(X!10))))))),
% 0.71/0.73 inference(quant_inst,[status(thm)],[])).
% 0.71/0.73 tff(94,plain,
% 0.71/0.73 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_3(Y))))))) | (~r1(X!0, X!10)) | (~((~r1(X!10, tptp_fun_X_3(X!10))) | (~p5(tptp_fun_X_3(X!10)))))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.71/0.73 tff(95,plain,
% 0.71/0.73 (~((~r1(X!10, tptp_fun_X_3(X!10))) | (~p5(tptp_fun_X_3(X!10))))),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[94, 91, 83])).
% 0.71/0.73 tff(96,plain,
% 0.71/0.73 (((~r1(X!10, tptp_fun_X_3(X!10))) | (~p5(tptp_fun_X_3(X!10)))) | p5(tptp_fun_X_3(X!10))),
% 0.71/0.73 inference(tautology,[status(thm)],[])).
% 0.71/0.73 tff(97,plain,
% 0.71/0.73 (p5(tptp_fun_X_3(X!10))),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[96, 95])).
% 0.71/0.73 tff(98,plain,
% 0.71/0.73 (((~r1(X!10, tptp_fun_X_3(X!10))) | (~p5(tptp_fun_X_3(X!10)))) | r1(X!10, tptp_fun_X_3(X!10))),
% 0.71/0.73 inference(tautology,[status(thm)],[])).
% 0.71/0.73 tff(99,plain,
% 0.71/0.73 (r1(X!10, tptp_fun_X_3(X!10))),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[98, 95])).
% 0.71/0.73 tff(100,plain,
% 0.71/0.73 (((~r1(X!0, Y!9)) | (~r1(Y!9, X!10)) | p1(Y!9) | (~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y))))) | ![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))),
% 0.71/0.73 inference(tautology,[status(thm)],[])).
% 0.71/0.73 tff(101,plain,
% 0.71/0.73 (![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[100, 60])).
% 0.71/0.73 tff(102,plain,
% 0.71/0.73 (((~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) | ((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))) <=> ((~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) | (~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(103,plain,
% 0.71/0.73 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) | ((~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10))))),
% 0.71/0.73 inference(quant_inst,[status(thm)],[])).
% 0.71/0.73 tff(104,plain,
% 0.71/0.73 ((~![Y: $i] : ((~p5(Y)) | (~r1(X!10, Y)))) | (~p5(tptp_fun_X_3(X!10))) | (~r1(X!10, tptp_fun_X_3(X!10)))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.71/0.73 tff(105,plain,
% 0.71/0.73 ($false),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[104, 101, 99, 97])).
% 0.71/0.73 tff(106,plain,(~((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))))), inference(lemma,lemma(discharge,[]))).
% 0.71/0.73 tff(107,plain,
% 0.71/0.73 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))) | (~p2(Y!4))),
% 0.71/0.73 inference(tautology,[status(thm)],[])).
% 0.71/0.73 tff(108,plain,
% 0.71/0.73 (~p2(Y!4)),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.71/0.73 tff(109,plain,
% 0.71/0.73 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))) | r1(X!0, Y!4)),
% 0.71/0.73 inference(tautology,[status(thm)],[])).
% 0.71/0.73 tff(110,plain,
% 0.71/0.73 (r1(X!0, Y!4)),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[109, 106])).
% 0.71/0.73 tff(111,plain,
% 0.71/0.73 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!4) | (~r1(X!0, Y!4)) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(112,plain,
% 0.71/0.73 ((p2(Y!4) | (~r1(X!0, Y!4)) | (~((~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X))))))) <=> (p2(Y!4) | (~r1(X!0, Y!4)) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)))))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(113,plain,
% 0.71/0.73 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~((~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4))))))),
% 0.71/0.73 inference(monotonicity,[status(thm)],[112])).
% 0.71/0.73 tff(114,plain,
% 0.71/0.73 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~((~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!4) | (~r1(X!0, Y!4)) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)))))),
% 0.71/0.73 inference(transitivity,[status(thm)],[113, 111])).
% 0.71/0.73 tff(115,plain,
% 0.71/0.73 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | (p2(Y!4) | (~r1(X!0, Y!4)) | (~((~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))),
% 0.71/0.73 inference(quant_inst,[status(thm)],[])).
% 0.71/0.73 tff(116,plain,
% 0.71/0.73 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(Y, tptp_fun_X_21(Y))) | p2(tptp_fun_X_21(Y)) | (~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))))))) | p2(Y!4) | (~r1(X!0, Y!4)) | (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4))))),
% 0.71/0.73 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.71/0.73 tff(117,plain,
% 0.71/0.73 (~((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4)))),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[116, 110, 108, 44])).
% 0.71/0.73 tff(118,plain,
% 0.71/0.73 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4))) | r1(Y!4, tptp_fun_X_21(Y!4))),
% 0.71/0.73 inference(tautology,[status(thm)],[])).
% 0.71/0.73 tff(119,plain,
% 0.71/0.73 (r1(Y!4, tptp_fun_X_21(Y!4))),
% 0.71/0.73 inference(unit_resolution,[status(thm)],[118, 117])).
% 0.71/0.73 tff(120,plain,
% 0.71/0.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | r1(X!0, tptp_fun_X_21(Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | r1(X!0, tptp_fun_X_21(Y!4)))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(121,plain,
% 0.71/0.73 ((r1(X!0, tptp_fun_X_21(Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | (~r1(X!0, Y!4))) <=> ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | r1(X!0, tptp_fun_X_21(Y!4)))),
% 0.71/0.73 inference(rewrite,[status(thm)],[])).
% 0.71/0.73 tff(122,plain,
% 0.71/0.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_21(Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | (~r1(X!0, Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | ((~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | r1(X!0, tptp_fun_X_21(Y!4))))),
% 0.71/0.73 inference(monotonicity,[status(thm)],[121])).
% 0.71/0.73 tff(123,plain,
% 0.71/0.73 (((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_21(Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | (~r1(X!0, Y!4)))) <=> ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | r1(X!0, tptp_fun_X_21(Y!4)))),
% 0.71/0.73 inference(transitivity,[status(thm)],[122, 120])).
% 0.71/0.73 tff(124,plain,
% 0.71/0.73 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (r1(X!0, tptp_fun_X_21(Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | (~r1(X!0, Y!4)))),
% 0.71/0.73 inference(quant_inst,[status(thm)],[])).
% 0.71/0.73 tff(125,plain,
% 0.71/0.73 ((~![X: $i, Y: $i, Z: $i] : (r1(X, Z) | (~r1(Y, Z)) | (~r1(X, Y)))) | (~r1(X!0, Y!4)) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | r1(X!0, tptp_fun_X_21(Y!4))),
% 0.71/0.74 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.71/0.74 tff(126,plain,
% 0.71/0.74 (r1(X!0, tptp_fun_X_21(Y!4))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[125, 76, 110, 119])).
% 0.71/0.74 tff(127,plain,
% 0.71/0.74 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4))) | (~p2(tptp_fun_X_21(Y!4)))),
% 0.71/0.74 inference(tautology,[status(thm)],[])).
% 0.71/0.74 tff(128,plain,
% 0.71/0.74 (~p2(tptp_fun_X_21(Y!4))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[127, 117])).
% 0.71/0.74 tff(129,plain,
% 0.71/0.74 (((~r1(X!0, Y!4)) | p2(Y!4) | (~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y)))))))) | ![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))),
% 0.71/0.74 inference(tautology,[status(thm)],[])).
% 0.71/0.74 tff(130,plain,
% 0.71/0.74 (![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[129, 106])).
% 0.71/0.74 tff(131,plain,
% 0.71/0.74 (((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_21(Y!4)) | (~r1(X!0, tptp_fun_X_21(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))))))) <=> ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))) | p2(tptp_fun_X_21(Y!4)) | (~r1(X!0, tptp_fun_X_21(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))))))),
% 0.71/0.74 inference(rewrite,[status(thm)],[])).
% 0.71/0.74 tff(132,plain,
% 0.71/0.74 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))) | (p2(tptp_fun_X_21(Y!4)) | (~r1(X!0, tptp_fun_X_21(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))))))),
% 0.71/0.74 inference(quant_inst,[status(thm)],[])).
% 0.71/0.74 tff(133,plain,
% 0.71/0.74 ((~![Y: $i] : (p2(Y) | (~r1(X!0, Y)) | (~((~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))) | p2(tptp_fun_Y_6(Y)) | (~r1(Y, tptp_fun_X_5(Y))) | (~p2(tptp_fun_X_5(Y))))))) | p2(tptp_fun_X_21(Y!4)) | (~r1(X!0, tptp_fun_X_21(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4))))))),
% 0.71/0.74 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.71/0.74 tff(134,plain,
% 0.71/0.74 ((~r1(X!0, tptp_fun_X_21(Y!4))) | (~((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4))))))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[133, 130, 128])).
% 0.71/0.74 tff(135,plain,
% 0.71/0.74 (~((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[134, 126])).
% 0.71/0.74 tff(136,plain,
% 0.71/0.74 (((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4))))) | p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))),
% 0.71/0.74 inference(tautology,[status(thm)],[])).
% 0.71/0.74 tff(137,plain,
% 0.71/0.74 (p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[136, 135])).
% 0.71/0.74 tff(138,plain,
% 0.71/0.74 (((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4))))) | r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))),
% 0.71/0.74 inference(tautology,[status(thm)],[])).
% 0.71/0.74 tff(139,plain,
% 0.71/0.74 (r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[138, 135])).
% 0.71/0.74 tff(140,plain,
% 0.71/0.74 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~r1(Y!4, tptp_fun_X_21(Y!4))) | p2(tptp_fun_X_21(Y!4))) | ![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 0.71/0.74 inference(tautology,[status(thm)],[])).
% 0.71/0.74 tff(141,plain,
% 0.71/0.74 (![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[140, 117])).
% 0.71/0.74 tff(142,plain,
% 0.71/0.74 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X))))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X))))),
% 0.71/0.74 inference(rewrite,[status(thm)],[])).
% 0.71/0.74 tff(143,plain,
% 0.71/0.74 (((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)) | p2(X))) <=> ((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X))))),
% 0.71/0.74 inference(rewrite,[status(thm)],[])).
% 0.71/0.74 tff(144,plain,
% 0.71/0.74 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)))))),
% 0.71/0.74 inference(monotonicity,[status(thm)],[143])).
% 0.71/0.74 tff(145,plain,
% 0.71/0.74 (((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)) | p2(X)))) <=> ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X))))),
% 0.71/0.74 inference(transitivity,[status(thm)],[144, 142])).
% 0.71/0.74 tff(146,plain,
% 0.71/0.74 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | ((~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : ((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)) | p2(X)))),
% 0.71/0.74 inference(quant_inst,[status(thm)],[])).
% 0.71/0.74 tff(147,plain,
% 0.71/0.74 ((~![Y: $i] : ((~p2(Y)) | (~r1(tptp_fun_X_21(Y!4), Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | ![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)))),
% 0.71/0.74 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.71/0.74 tff(148,plain,
% 0.71/0.74 (![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[147, 141, 139, 137])).
% 0.71/0.74 tff(149,plain,
% 0.71/0.74 (((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4))))) | (~p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))))),
% 0.71/0.74 inference(tautology,[status(thm)],[])).
% 0.71/0.74 tff(150,plain,
% 0.71/0.74 (~p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4)))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[149, 135])).
% 0.71/0.74 tff(151,plain,
% 0.71/0.74 (((~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_21(Y!4), tptp_fun_X_5(tptp_fun_X_21(Y!4)))) | (~p2(tptp_fun_X_5(tptp_fun_X_21(Y!4))))) | r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))),
% 0.71/0.74 inference(tautology,[status(thm)],[])).
% 0.71/0.74 tff(152,plain,
% 0.71/0.74 (r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[151, 135])).
% 0.71/0.74 tff(153,plain,
% 0.71/0.74 (((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))))) <=> ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))))),
% 0.71/0.74 inference(rewrite,[status(thm)],[])).
% 0.71/0.74 tff(154,plain,
% 0.71/0.74 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)))) | (p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4)))))),
% 0.71/0.74 inference(quant_inst,[status(thm)],[])).
% 0.71/0.74 tff(155,plain,
% 0.71/0.74 ((~![X: $i] : (p2(X) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), X)))) | p2(tptp_fun_Y_6(tptp_fun_X_21(Y!4))) | (~r1(tptp_fun_X_5(tptp_fun_X_21(Y!4)), tptp_fun_Y_6(tptp_fun_X_21(Y!4))))),
% 0.71/0.74 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.71/0.74 tff(156,plain,
% 0.71/0.74 ($false),
% 0.71/0.74 inference(unit_resolution,[status(thm)],[155, 152, 150, 148])).
% 0.71/0.74 % SZS output end Proof
%------------------------------------------------------------------------------