TSTP Solution File: KRS083+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS083+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 17:44:40 EDT 2022
% Result : Unsatisfiable 0.86s 0.81s
% Output : Proof 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS083+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Sep 1 09:23:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.86/0.81 % SZS status Unsatisfiable
% 0.86/0.81 % SZS output start Proof
% 0.86/0.81 tff(rf_type, type, (
% 0.86/0.81 rf: ( $i * $i ) > $o)).
% 0.86/0.81 tff(tptp_fun_Z_0_type, type, (
% 0.86/0.81 tptp_fun_Z_0: $i > $i)).
% 0.86/0.81 tff(tptp_fun_Y_1_type, type, (
% 0.86/0.81 tptp_fun_Y_1: $i > $i)).
% 0.86/0.81 tff(i2003_11_14_17_19_32337_type, type, (
% 0.86/0.81 i2003_11_14_17_19_32337: $i)).
% 0.86/0.81 tff(rinvF_type, type, (
% 0.86/0.81 rinvF: ( $i * $i ) > $o)).
% 0.86/0.81 tff(rr_type, type, (
% 0.86/0.81 rr: ( $i * $i ) > $o)).
% 0.86/0.81 tff(rinvR_type, type, (
% 0.86/0.81 rinvR: ( $i * $i ) > $o)).
% 0.86/0.81 tff(cd_type, type, (
% 0.86/0.81 cd: $i > $o)).
% 0.86/0.81 tff(cowlThing_type, type, (
% 0.86/0.81 cowlThing: $i > $o)).
% 0.86/0.81 tff(cowlNothing_type, type, (
% 0.86/0.81 cowlNothing: $i > $o)).
% 0.86/0.81 tff(tptp_fun_Y_3_type, type, (
% 0.86/0.81 tptp_fun_Y_3: $i > $i)).
% 0.86/0.81 tff(cc_type, type, (
% 0.86/0.81 cc: $i > $o)).
% 0.86/0.81 tff(cUnsatisfiable_type, type, (
% 0.86/0.81 cUnsatisfiable: $i > $o)).
% 0.86/0.81 tff(tptp_fun_Y_2_type, type, (
% 0.86/0.81 tptp_fun_Y_2: $i > $i)).
% 0.86/0.81 tff(1,assumption,(rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), introduced(assumption)).
% 0.86/0.81 tff(2,assumption,(rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), introduced(assumption)).
% 0.86/0.81 tff(3,plain,
% 0.86/0.81 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.86/0.81 inference(bind,[status(th)],[])).
% 0.86/0.81 tff(4,plain,
% 0.86/0.81 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.86/0.81 inference(quant_intro,[status(thm)],[3])).
% 0.86/0.81 tff(5,plain,
% 0.86/0.81 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.86/0.81 inference(bind,[status(th)],[])).
% 0.86/0.81 tff(6,plain,
% 0.86/0.81 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.86/0.81 inference(quant_intro,[status(thm)],[5])).
% 0.86/0.81 tff(7,plain,
% 0.86/0.81 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.86/0.81 inference(rewrite,[status(thm)],[])).
% 0.86/0.81 tff(8,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.86/0.81 tff(9,plain,
% 0.86/0.81 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.86/0.81 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.86/0.81 tff(10,plain,(
% 0.86/0.81 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.86/0.81 inference(skolemize,[status(sab)],[9])).
% 0.86/0.81 tff(11,plain,
% 0.86/0.81 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.86/0.81 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.86/0.81 tff(12,plain,
% 0.86/0.81 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.86/0.81 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.86/0.81 tff(13,plain,
% 0.86/0.81 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.81 inference(quant_inst,[status(thm)],[])).
% 0.86/0.81 tff(14,plain,
% 0.86/0.81 (~(cowlNothing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.81 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.86/0.81 tff(15,plain,
% 0.86/0.81 ((cowlNothing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.81 inference(tautology,[status(thm)],[])).
% 0.86/0.81 tff(16,plain,
% 0.86/0.81 (cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.81 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.86/0.81 tff(17,assumption,(~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))), introduced(assumption)).
% 0.86/0.81 tff(18,plain,
% 0.86/0.81 (^[X: $i] : refl(((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(19,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[18])).
% 0.86/0.82 tff(20,plain,
% 0.86/0.82 (^[X: $i] : rewrite(((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(21,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[20])).
% 0.86/0.82 tff(22,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[21, 19])).
% 0.86/0.82 tff(23,plain,
% 0.86/0.82 (^[X: $i] : rewrite(((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0)))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(24,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[23])).
% 0.86/0.82 tff(25,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.86/0.82 inference(rewrite,[status(thm)],[])).
% 0.86/0.82 tff(26,plain,
% 0.86/0.82 (^[X: $i] : trans(monotonicity(quant_intro(proof_bind(^[Y0: $i, Y1: $i] : rewrite(((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1)) <=> ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))), (![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1)) <=> ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))), ((cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1))) <=> (cowlThing(X) => ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))))), rewrite((cowlThing(X) => ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))), ((cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(27,plain,
% 0.86/0.82 (![X: $i] : (cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[26])).
% 0.86/0.82 tff(28,axiom,(![X: $i] : (cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.86/0.82 tff(29,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.86/0.82 tff(30,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.86/0.82 tff(31,plain,(
% 0.86/0.82 ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.86/0.82 inference(skolemize,[status(sab)],[30])).
% 0.86/0.82 tff(32,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[31, 24])).
% 0.86/0.82 tff(33,plain,
% 0.86/0.82 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[32, 22])).
% 0.86/0.82 tff(34,plain,
% 0.86/0.82 (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1))))),
% 0.86/0.82 inference(rewrite,[status(thm)],[])).
% 0.86/0.82 tff(35,plain,
% 0.86/0.82 (((~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)))) <=> ((~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1))))),
% 0.86/0.82 inference(rewrite,[status(thm)],[])).
% 0.86/0.82 tff(36,plain,
% 0.86/0.82 (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))))),
% 0.86/0.82 inference(monotonicity,[status(thm)],[35])).
% 0.86/0.82 tff(37,plain,
% 0.86/0.82 (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[36, 34])).
% 0.86/0.82 tff(38,plain,
% 0.86/0.82 ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0))))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(39,plain,
% 0.86/0.82 ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y1)) | (~rf(X, Y0))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.86/0.82 tff(40,plain,
% 0.86/0.82 ($false),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[39, 33, 17, 16])).
% 0.86/0.82 tff(41,plain,(![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))), inference(lemma,lemma(discharge,[]))).
% 0.86/0.82 tff(42,plain,
% 0.86/0.82 (^[X: $i] : refl((~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(43,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[42])).
% 0.86/0.82 tff(44,plain,
% 0.86/0.82 (^[X: $i] : rewrite((~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(45,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[44])).
% 0.86/0.82 tff(46,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[45, 43])).
% 0.86/0.82 tff(47,plain,
% 0.86/0.82 (^[X: $i] : trans(monotonicity(rewrite(((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) <=> ((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))), rewrite((cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y))))) <=> (cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))), ((((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y)))))) <=> (((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X)))))) & (cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))), rewrite((((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X)))))) & (cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))), ((((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y)))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(48,plain,
% 0.86/0.82 (![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y)))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[47])).
% 0.86/0.82 tff(49,plain,
% 0.86/0.82 (^[X: $i] : rewrite((((~cd(X)) | ((rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X)))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & (~cc(Y)))) | (~cc(X))))) <=> (((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y)))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(50,plain,
% 0.86/0.82 (![X: $i] : (((~cd(X)) | ((rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X)))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & (~cc(Y)))) | (~cc(X))))) <=> ![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[49])).
% 0.86/0.82 tff(51,plain,
% 0.86/0.82 (![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & (~cc(Y))) & cc(X))) <=> ![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & (~cc(Y))) & cc(X)))),
% 0.86/0.82 inference(rewrite,[status(thm)],[])).
% 0.86/0.82 tff(52,axiom,(![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & (~cc(Y))) & cc(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.86/0.82 tff(53,plain,
% 0.86/0.82 (![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & (~cc(Y))) & cc(X)))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.86/0.82 tff(54,plain,(
% 0.86/0.82 ![X: $i] : (((~cd(X)) | ((rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X)))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & (~cc(Y)))) | (~cc(X)))))),
% 0.86/0.82 inference(skolemize,[status(sab)],[53])).
% 0.86/0.82 tff(55,plain,
% 0.86/0.82 (![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y))))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.86/0.82 tff(56,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.86/0.82 tff(57,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[56, 46])).
% 0.86/0.82 tff(58,plain,
% 0.86/0.82 ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y)))))))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(59,plain,
% 0.86/0.82 (~((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y))))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.86/0.82 tff(60,plain,
% 0.86/0.82 (((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y)))))) | ((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))),
% 0.86/0.82 inference(tautology,[status(thm)],[])).
% 0.86/0.82 tff(61,plain,
% 0.86/0.82 ((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.86/0.82 tff(62,assumption,(~((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))), introduced(assumption)).
% 0.86/0.82 tff(63,plain,
% 0.86/0.82 (((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.82 inference(tautology,[status(thm)],[])).
% 0.86/0.82 tff(64,plain,
% 0.86/0.82 (cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.86/0.82 tff(65,plain,
% 0.86/0.82 ((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))),
% 0.86/0.82 inference(tautology,[status(thm)],[])).
% 0.86/0.82 tff(66,plain,
% 0.86/0.82 ((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[65, 64])).
% 0.86/0.82 tff(67,plain,
% 0.86/0.82 (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[66, 61])).
% 0.86/0.82 tff(68,plain,
% 0.86/0.82 (((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.82 inference(tautology,[status(thm)],[])).
% 0.86/0.82 tff(69,plain,
% 0.86/0.82 (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[68, 67])).
% 0.86/0.82 tff(70,assumption,(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))), introduced(assumption)).
% 0.86/0.82 tff(71,assumption,(~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))), introduced(assumption)).
% 0.86/0.82 tff(72,plain,
% 0.86/0.82 ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | cc(tptp_fun_Y_3(X)) | (~rf(X, tptp_fun_Y_3(X))))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y)))))))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(73,plain,
% 0.86/0.82 (~((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[72, 57])).
% 0.86/0.82 tff(74,plain,
% 0.86/0.82 (((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y)))))) | ((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))),
% 0.86/0.82 inference(tautology,[status(thm)],[])).
% 0.86/0.82 tff(75,plain,
% 0.86/0.82 ((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[74, 73])).
% 0.86/0.82 tff(76,plain,
% 0.86/0.82 (^[X: $i, Y: $i] : refl((rinvR(X, Y) <=> rr(Y, X)) <=> (rinvR(X, Y) <=> rr(Y, X)))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(77,plain,
% 0.86/0.82 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X)) <=> ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[76])).
% 0.86/0.82 tff(78,plain,
% 0.86/0.82 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X)) <=> ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.86/0.82 inference(rewrite,[status(thm)],[])).
% 0.86/0.82 tff(79,axiom,(![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_6')).
% 0.86/0.82 tff(80,plain,
% 0.86/0.82 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.86/0.82 tff(81,plain,(
% 0.86/0.82 ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.86/0.82 inference(skolemize,[status(sab)],[80])).
% 0.86/0.82 tff(82,plain,
% 0.86/0.82 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.86/0.82 tff(83,plain,
% 0.86/0.82 ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(84,plain,
% 0.86/0.82 (rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[83, 82])).
% 0.86/0.82 tff(85,plain,
% 0.86/0.82 (^[X: $i, Y: $i] : refl((rinvF(X, Y) <=> rf(Y, X)) <=> (rinvF(X, Y) <=> rf(Y, X)))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(86,plain,
% 0.86/0.82 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X)) <=> ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[85])).
% 0.86/0.82 tff(87,plain,
% 0.86/0.82 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X)) <=> ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.86/0.82 inference(rewrite,[status(thm)],[])).
% 0.86/0.82 tff(88,axiom,(![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.86/0.82 tff(89,plain,
% 0.86/0.82 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.86/0.82 tff(90,plain,(
% 0.86/0.82 ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.86/0.82 inference(skolemize,[status(sab)],[89])).
% 0.86/0.82 tff(91,plain,
% 0.86/0.82 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[90, 86])).
% 0.86/0.82 tff(92,plain,
% 0.86/0.82 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(93,plain,
% 0.86/0.82 (rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[92, 91])).
% 0.86/0.82 tff(94,plain,
% 0.86/0.82 ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(95,plain,
% 0.86/0.82 (rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[94, 82])).
% 0.86/0.82 tff(96,plain,
% 0.86/0.82 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(97,plain,
% 0.86/0.82 (rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[96, 91])).
% 0.86/0.82 tff(98,plain,
% 0.86/0.82 (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))) <=> (~((~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(99,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[98])).
% 0.86/0.82 tff(100,plain,
% 0.86/0.82 (^[X: $i] : refl((~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))) <=> (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(101,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[100])).
% 0.86/0.82 tff(102,plain,
% 0.86/0.82 (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))) <=> (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(103,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[102])).
% 0.86/0.82 tff(104,plain,
% 0.86/0.82 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[103, 101])).
% 0.86/0.82 tff(105,plain,
% 0.86/0.82 (^[X: $i] : trans(monotonicity(rewrite(((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) <=> ((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))), trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rinvF(X, Y) & cd(Y)) <=> (~((~cd(Y)) | (~rinvF(X, Y))))), ((~(rinvF(X, Y) & cd(Y))) <=> (~(~((~cd(Y)) | (~rinvF(X, Y))))))), rewrite((~(~((~cd(Y)) | (~rinvF(X, Y))))) <=> ((~cd(Y)) | (~rinvF(X, Y)))), ((~(rinvF(X, Y) & cd(Y))) <=> ((~cd(Y)) | (~rinvF(X, Y)))))), (![Y: $i] : (~(rinvF(X, Y) & cd(Y))) <=> ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))))), trans(monotonicity(quant_intro(proof_bind(^[Z: $i] : trans(monotonicity(rewrite((rinvF(tptp_fun_Y_2(X), Z) & cd(Z)) <=> (~((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))), ((~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z))) <=> (~(~((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))), rewrite((~(~((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))) <=> ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))), ((~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z))) <=> ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))), (![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z))) <=> ![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))), ((rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) <=> (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))), rewrite((rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))) <=> (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))), ((rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) <=> (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))), ((cUnsatisfiable(X) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z))))) <=> (cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))), rewrite((cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))) <=> (cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))), ((cUnsatisfiable(X) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z))))) <=> (cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))), ((((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))))) <=> (((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X)))))) & (cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))))), rewrite((((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X)))))) & (cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))) <=> (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))))), ((((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))))) <=> (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(106,plain,
% 0.86/0.82 (![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[105])).
% 0.86/0.83 tff(107,plain,
% 0.86/0.83 (^[X: $i] : rewrite((((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & (rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X))))) & (cUnsatisfiable(X) | (((~(~rinvR(X, tptp_fun_Y_2(X)))) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | (~(~cc(X))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))) <=> (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(108,plain,
% 0.86/0.83 (![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & (rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X))))) & (cUnsatisfiable(X) | (((~(~rinvR(X, tptp_fun_Y_2(X)))) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | (~(~cc(X))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))) <=> ![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z))))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[107])).
% 0.86/0.83 tff(109,plain,
% 0.86/0.83 (![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(110,plain,
% 0.86/0.83 (^[X: $i] : rewrite((cUnsatisfiable(X) <=> ((![Y: $i] : (rinvR(X, Y) => ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(111,plain,
% 0.86/0.83 (![X: $i] : (cUnsatisfiable(X) <=> ((![Y: $i] : (rinvR(X, Y) => ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[110])).
% 0.86/0.83 tff(112,axiom,(![X: $i] : (cUnsatisfiable(X) <=> ((![Y: $i] : (rinvR(X, Y) => ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.86/0.83 tff(113,plain,
% 0.86/0.83 (![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.86/0.83 tff(114,plain,
% 0.86/0.83 (![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[113, 109])).
% 0.86/0.83 tff(115,plain,(
% 0.86/0.83 ![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & (rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X))))) & (cUnsatisfiable(X) | (((~(~rinvR(X, tptp_fun_Y_2(X)))) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | (~(~cc(X))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))))),
% 0.86/0.83 inference(skolemize,[status(sab)],[114])).
% 0.86/0.83 tff(116,plain,
% 0.86/0.83 (![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[115, 108])).
% 0.86/0.83 tff(117,plain,
% 0.86/0.83 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[116, 106])).
% 0.86/0.83 tff(118,plain,
% 0.86/0.83 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z))))))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[117, 104])).
% 0.86/0.83 tff(119,plain,
% 0.86/0.83 (![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[118, 99])).
% 0.86/0.83 tff(120,plain,
% 0.86/0.83 ((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | ![Y: $i] : ((~cd(Y)) | (~rinvF(X, Y))) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(X), Z)))))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))))))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(121,plain,
% 0.86/0.83 (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.86/0.83 tff(122,plain,
% 0.86/0.83 (((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))))))) | ((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(123,plain,
% 0.86/0.83 ((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.86/0.83 tff(124,plain,
% 0.86/0.83 (cUnsatisfiable(i2003_11_14_17_19_32337) <=> cUnsatisfiable(i2003_11_14_17_19_32337)),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(125,axiom,(cUnsatisfiable(i2003_11_14_17_19_32337)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_8')).
% 0.86/0.83 tff(126,plain,
% 0.86/0.83 (cUnsatisfiable(i2003_11_14_17_19_32337)),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.86/0.83 tff(127,plain,
% 0.86/0.83 ((~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))))))) | (~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(128,plain,
% 0.86/0.83 ((~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))))))) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.86/0.83 tff(129,plain,
% 0.86/0.83 (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[128, 123])).
% 0.86/0.83 tff(130,plain,
% 0.86/0.83 ((cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))) | rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(131,plain,
% 0.86/0.83 (rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[130, 129])).
% 0.86/0.83 tff(132,plain,
% 0.86/0.83 ((~(rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(133,plain,
% 0.86/0.83 ((~(rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) | rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.86/0.83 tff(134,plain,
% 0.86/0.83 (rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[133, 97])).
% 0.86/0.83 tff(135,plain,
% 0.86/0.83 (^[X: $i, Y: $i] : refl(((~rf(X, Y)) | rr(X, Y)) <=> ((~rf(X, Y)) | rr(X, Y)))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(136,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[135])).
% 0.86/0.83 tff(137,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(138,plain,
% 0.86/0.83 (^[X: $i, Y: $i] : rewrite((rf(X, Y) => rr(X, Y)) <=> ((~rf(X, Y)) | rr(X, Y)))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(139,plain,
% 0.86/0.83 (![X: $i, Y: $i] : (rf(X, Y) => rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[138])).
% 0.86/0.83 tff(140,axiom,(![X: $i, Y: $i] : (rf(X, Y) => rr(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_9')).
% 0.86/0.83 tff(141,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.86/0.83 tff(142,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.86/0.83 tff(143,plain,(
% 0.86/0.83 ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.86/0.83 inference(skolemize,[status(sab)],[142])).
% 0.86/0.83 tff(144,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[143, 136])).
% 0.86/0.83 tff(145,plain,
% 0.86/0.83 (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(146,plain,
% 0.86/0.83 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(147,plain,
% 0.86/0.83 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.86/0.83 tff(148,plain,
% 0.86/0.83 (rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[147, 144, 134])).
% 0.86/0.83 tff(149,plain,
% 0.86/0.83 ((~(rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) | rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(150,plain,
% 0.86/0.83 ((~(rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) | rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[149, 148])).
% 0.86/0.83 tff(151,plain,
% 0.86/0.83 (rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[150, 95])).
% 0.86/0.83 tff(152,plain,
% 0.86/0.83 ((cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y)))))))) | ![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(153,plain,
% 0.86/0.83 (![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[152, 129])).
% 0.86/0.83 tff(154,plain,
% 0.86/0.83 (((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | ((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~((~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) <=> ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~((~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(155,plain,
% 0.86/0.83 ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | ((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~((~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(156,plain,
% 0.86/0.83 ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~((~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.86/0.83 tff(157,plain,
% 0.86/0.83 (~((~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[156, 153, 151])).
% 0.86/0.83 tff(158,plain,
% 0.86/0.83 (((~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(159,plain,
% 0.86/0.83 (rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.86/0.83 tff(160,plain,
% 0.86/0.83 ((~(rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(161,plain,
% 0.86/0.83 ((~(rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[160, 159])).
% 0.86/0.83 tff(162,plain,
% 0.86/0.83 (rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[161, 93])).
% 0.86/0.83 tff(163,plain,
% 0.86/0.83 (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(164,plain,
% 0.86/0.83 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(165,plain,
% 0.86/0.83 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.86/0.83 tff(166,plain,
% 0.86/0.83 (rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[165, 144, 162])).
% 0.86/0.83 tff(167,plain,
% 0.86/0.83 (![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z))) <=> ![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(168,plain,
% 0.86/0.83 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((rr(X, Y) & rr(Y, Z)) <=> (~((~rr(X, Y)) | (~rr(Y, Z))))), ((~(rr(X, Y) & rr(Y, Z))) <=> (~(~((~rr(X, Y)) | (~rr(Y, Z))))))), rewrite((~(~((~rr(X, Y)) | (~rr(Y, Z))))) <=> ((~rr(X, Y)) | (~rr(Y, Z)))), ((~(rr(X, Y) & rr(Y, Z))) <=> ((~rr(X, Y)) | (~rr(Y, Z))))), (((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)) <=> (((~rr(X, Y)) | (~rr(Y, Z))) | rr(X, Z)))), rewrite((((~rr(X, Y)) | (~rr(Y, Z))) | rr(X, Z)) <=> (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))), (((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)) <=> (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(169,plain,
% 0.86/0.83 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[168])).
% 0.86/0.83 tff(170,plain,
% 0.86/0.83 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(171,plain,
% 0.86/0.83 (^[X: $i, Y: $i, Z: $i] : rewrite(((rr(X, Y) & rr(Y, Z)) => rr(X, Z)) <=> ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z)))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(172,plain,
% 0.86/0.83 (![X: $i, Y: $i, Z: $i] : ((rr(X, Y) & rr(Y, Z)) => rr(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[171])).
% 0.86/0.83 tff(173,axiom,(![X: $i, Y: $i, Z: $i] : ((rr(X, Y) & rr(Y, Z)) => rr(X, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_7')).
% 0.86/0.83 tff(174,plain,
% 0.86/0.83 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.86/0.83 tff(175,plain,
% 0.86/0.83 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[174, 170])).
% 0.86/0.83 tff(176,plain,(
% 0.86/0.83 ![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 0.86/0.83 inference(skolemize,[status(sab)],[175])).
% 0.86/0.83 tff(177,plain,
% 0.86/0.83 (![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[176, 169])).
% 0.86/0.83 tff(178,plain,
% 0.86/0.83 (![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[177, 167])).
% 0.86/0.83 tff(179,plain,
% 0.86/0.83 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(180,plain,
% 0.86/0.83 ((rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) <=> ((~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(181,plain,
% 0.86/0.83 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[180])).
% 0.86/0.83 tff(182,plain,
% 0.86/0.83 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.83 inference(transitivity,[status(thm)],[181, 179])).
% 0.86/0.83 tff(183,plain,
% 0.86/0.83 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(184,plain,
% 0.86/0.83 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.86/0.83 tff(185,plain,
% 0.86/0.83 (rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[184, 178, 148, 166])).
% 0.86/0.83 tff(186,plain,
% 0.86/0.83 ((~(rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337))) | rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(187,plain,
% 0.86/0.83 ((~(rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337))) | rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[186, 185])).
% 0.86/0.83 tff(188,plain,
% 0.86/0.83 (rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[187, 84])).
% 0.86/0.83 tff(189,plain,
% 0.86/0.83 (((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | ((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) <=> ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(190,plain,
% 0.86/0.83 ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | ((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(191,plain,
% 0.86/0.83 ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.86/0.83 tff(192,plain,
% 0.86/0.83 (~((~rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[191, 153, 188])).
% 0.86/0.83 tff(193,plain,
% 0.86/0.83 (((~rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(194,plain,
% 0.86/0.83 (cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[193, 192])).
% 0.86/0.83 tff(195,plain,
% 0.86/0.83 ((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(196,plain,
% 0.86/0.83 ((~((~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[195, 194])).
% 0.86/0.83 tff(197,plain,
% 0.86/0.83 (~((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[196, 75])).
% 0.86/0.83 tff(198,plain,
% 0.86/0.83 (((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(199,plain,
% 0.86/0.83 (cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[198, 197])).
% 0.86/0.83 tff(200,plain,
% 0.86/0.83 (^[A: $i, B: $i] : refl((cc(B) | (~(A = B)) | (~cc(A))) <=> (cc(B) | (~(A = B)) | (~cc(A))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(201,plain,
% 0.86/0.83 (![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A))) <=> ![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[200])).
% 0.86/0.83 tff(202,plain,
% 0.86/0.83 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((A = B) & cc(A)) <=> (~((~(A = B)) | (~cc(A))))), ((~((A = B) & cc(A))) <=> (~(~((~(A = B)) | (~cc(A))))))), rewrite((~(~((~(A = B)) | (~cc(A))))) <=> ((~(A = B)) | (~cc(A)))), ((~((A = B) & cc(A))) <=> ((~(A = B)) | (~cc(A))))), ((cc(B) | (~((A = B) & cc(A)))) <=> (cc(B) | ((~(A = B)) | (~cc(A)))))), rewrite((cc(B) | ((~(A = B)) | (~cc(A)))) <=> (cc(B) | (~(A = B)) | (~cc(A)))), ((cc(B) | (~((A = B) & cc(A)))) <=> (cc(B) | (~(A = B)) | (~cc(A)))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(203,plain,
% 0.86/0.83 (![A: $i, B: $i] : (cc(B) | (~((A = B) & cc(A)))) <=> ![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[202])).
% 0.86/0.83 tff(204,plain,
% 0.86/0.83 (![A: $i, B: $i] : (cc(B) | (~((A = B) & cc(A)))) <=> ![A: $i, B: $i] : (cc(B) | (~((A = B) & cc(A))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(205,plain,
% 0.86/0.83 (^[A: $i, B: $i] : rewrite((((A = B) & cc(A)) => cc(B)) <=> (cc(B) | (~((A = B) & cc(A)))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(206,plain,
% 0.86/0.83 (![A: $i, B: $i] : (((A = B) & cc(A)) => cc(B)) <=> ![A: $i, B: $i] : (cc(B) | (~((A = B) & cc(A))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[205])).
% 0.86/0.83 tff(207,axiom,(![A: $i, B: $i] : (((A = B) & cc(A)) => cc(B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cc_substitution_1')).
% 0.86/0.83 tff(208,plain,
% 0.86/0.83 (![A: $i, B: $i] : (cc(B) | (~((A = B) & cc(A))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.86/0.83 tff(209,plain,
% 0.86/0.83 (![A: $i, B: $i] : (cc(B) | (~((A = B) & cc(A))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[208, 204])).
% 0.86/0.83 tff(210,plain,(
% 0.86/0.83 ![A: $i, B: $i] : (cc(B) | (~((A = B) & cc(A))))),
% 0.86/0.83 inference(skolemize,[status(sab)],[209])).
% 0.86/0.83 tff(211,plain,
% 0.86/0.83 (![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[210, 203])).
% 0.86/0.83 tff(212,plain,
% 0.86/0.83 (![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[211, 201])).
% 0.86/0.83 tff(213,plain,
% 0.86/0.83 (((~![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))) | ((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) <=> ((~![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(214,plain,
% 0.86/0.83 ((cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) <=> ((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(215,plain,
% 0.86/0.83 (((~![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))) | (cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) <=> ((~![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))) | ((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[214])).
% 0.86/0.83 tff(216,plain,
% 0.86/0.83 (((~![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))) | (cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) <=> ((~![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.83 inference(transitivity,[status(thm)],[215, 213])).
% 0.86/0.83 tff(217,plain,
% 0.86/0.83 ((~![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))) | (cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(218,plain,
% 0.86/0.83 ((~![A: $i, B: $i] : (cc(B) | (~(A = B)) | (~cc(A)))) | (~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.86/0.83 tff(219,plain,
% 0.86/0.83 ($false),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[218, 212, 199, 71, 70])).
% 0.86/0.83 tff(220,plain,((~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))), inference(lemma,lemma(discharge,[]))).
% 0.86/0.83 tff(221,plain,
% 0.86/0.83 (~(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[220, 69])).
% 0.86/0.83 tff(222,plain,
% 0.86/0.83 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(223,plain,
% 0.86/0.84 (rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[222, 91])).
% 0.86/0.84 tff(224,plain,
% 0.86/0.84 (((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(225,plain,
% 0.86/0.84 (rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[224, 62])).
% 0.86/0.84 tff(226,plain,
% 0.86/0.84 ((~(rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(227,plain,
% 0.86/0.84 ((~(rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[226, 225])).
% 0.86/0.84 tff(228,plain,
% 0.86/0.84 (rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[227, 223])).
% 0.86/0.84 tff(229,plain,
% 0.86/0.84 (((~cc(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) | rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(230,plain,
% 0.86/0.84 (rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[229, 67])).
% 0.86/0.84 tff(231,assumption,(![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))), introduced(assumption)).
% 0.86/0.84 tff(232,plain,
% 0.86/0.84 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))) | ((~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(233,plain,
% 0.86/0.84 (((tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) <=> ((~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(234,plain,
% 0.86/0.84 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))) | ((tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))) | ((~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.84 inference(monotonicity,[status(thm)],[233])).
% 0.86/0.84 tff(235,plain,
% 0.86/0.84 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))) | ((tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.86/0.84 inference(transitivity,[status(thm)],[234, 232])).
% 0.86/0.84 tff(236,plain,
% 0.86/0.84 ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))) | ((tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(237,plain,
% 0.86/0.84 ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1)))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.86/0.84 tff(238,plain,
% 0.86/0.84 ($false),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[237, 231, 230, 228, 221])).
% 0.86/0.84 tff(239,plain,(((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), Y1))))), inference(lemma,lemma(discharge,[]))).
% 0.86/0.84 tff(240,plain,
% 0.86/0.84 ((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[239, 41])).
% 0.86/0.84 tff(241,assumption,(rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))), introduced(assumption)).
% 0.86/0.84 tff(242,assumption,((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))), introduced(assumption)).
% 0.86/0.84 tff(243,plain,
% 0.86/0.84 (((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | ((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) <=> ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(244,plain,
% 0.86/0.84 ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | ((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(245,plain,
% 0.86/0.84 ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~rinvF(Y, tptp_fun_Z_0(Y))) | (~cd(tptp_fun_Z_0(Y))))))) | (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.86/0.84 tff(246,plain,
% 0.86/0.84 ($false),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[245, 153, 242, 241])).
% 0.86/0.84 tff(247,plain,((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~rinvF(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))), inference(lemma,lemma(discharge,[]))).
% 0.86/0.84 tff(248,plain,
% 0.86/0.84 (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[247, 240])).
% 0.86/0.84 tff(249,assumption,(~(rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))), introduced(assumption)).
% 0.86/0.84 tff(250,plain,
% 0.86/0.84 ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(251,plain,
% 0.86/0.84 ($false),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[250, 82, 249])).
% 0.86/0.84 tff(252,plain,(rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337)), inference(lemma,lemma(discharge,[]))).
% 0.86/0.84 tff(253,plain,
% 0.86/0.84 ((~(rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))) | rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(254,plain,
% 0.86/0.84 (rinvR(i2003_11_14_17_19_32337, tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[253, 252])).
% 0.86/0.84 tff(255,plain,
% 0.86/0.84 (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337)),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[254, 248])).
% 0.86/0.84 tff(256,plain,
% 0.86/0.84 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(257,plain,
% 0.86/0.84 ((rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337))) <=> ((~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(258,plain,
% 0.86/0.84 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337)))),
% 0.86/0.84 inference(monotonicity,[status(thm)],[257])).
% 0.86/0.84 tff(259,plain,
% 0.86/0.84 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337))),
% 0.86/0.84 inference(transitivity,[status(thm)],[258, 256])).
% 0.86/0.84 tff(260,plain,
% 0.86/0.84 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(261,plain,
% 0.86/0.84 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), i2003_11_14_17_19_32337)) | (~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), i2003_11_14_17_19_32337)),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.86/0.84 tff(262,plain,
% 0.86/0.84 ($false),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[261, 178, 185, 255, 2])).
% 0.86/0.84 tff(263,plain,(~rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))), inference(lemma,lemma(discharge,[]))).
% 0.86/0.84 tff(264,plain,
% 0.86/0.84 (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(265,plain,
% 0.86/0.84 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(266,plain,
% 0.86/0.84 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rr(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[265, 264])).
% 0.86/0.84 tff(267,plain,
% 0.86/0.84 (~rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[266, 144, 263])).
% 0.86/0.84 tff(268,plain,
% 0.86/0.84 (((~rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~cd(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(269,plain,
% 0.86/0.84 (rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[268, 192])).
% 0.86/0.84 tff(270,plain,
% 0.86/0.84 ((~(rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(271,plain,
% 0.86/0.84 ((~(rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[270, 269])).
% 0.86/0.84 tff(272,plain,
% 0.86/0.84 ($false),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[271, 267, 1])).
% 0.86/0.84 tff(273,plain,(~(rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))), inference(lemma,lemma(discharge,[]))).
% 0.86/0.84 tff(274,plain,
% 0.86/0.84 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> rf(tptp_fun_Z_0(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(275,plain,
% 0.86/0.84 ($false),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[274, 91, 273])).
% 0.86/0.84 % SZS output end Proof
%------------------------------------------------------------------------------