%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS117+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 Jun 21 05:13:25 AM UTC 2025
% Result : Unsatisfiable 0.21s 0.52s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS117+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 19:10:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.52 % SZS status Unsatisfiable
% 0.21/0.52 % SZS output start Proof
% 0.21/0.52 tff(ra_Px1_type, type, (
% 0.21/0.52 ra_Px1: ( $i * $i ) > $o)).
% 0.21/0.52 tff(tptp_fun_Y_4_type, type, (
% 0.21/0.52 tptp_fun_Y_4: $i > $i)).
% 0.21/0.52 tff(tptp_fun_Y_0_type, type, (
% 0.21/0.52 tptp_fun_Y_0: $i > $i)).
% 0.21/0.52 tff(i2003_11_14_17_21_37349_type, type, (
% 0.21/0.52 i2003_11_14_17_21_37349: $i)).
% 0.21/0.52 tff(ccxcomp_type, type, (
% 0.21/0.52 ccxcomp: $i > $o)).
% 0.21/0.52 tff(tptp_fun_Y0_3_type, type, (
% 0.21/0.52 tptp_fun_Y0_3: $i > $i)).
% 0.21/0.52 tff(rf_type, type, (
% 0.21/0.52 rf: ( $i * $i ) > $o)).
% 0.21/0.52 tff(cowlThing_type, type, (
% 0.21/0.52 cowlThing: $i > $o)).
% 0.21/0.52 tff(cowlNothing_type, type, (
% 0.21/0.52 cowlNothing: $i > $o)).
% 0.21/0.52 tff(cc_type, type, (
% 0.21/0.52 cc: $i > $o)).
% 0.21/0.52 tff(cd_type, type, (
% 0.21/0.52 cd: $i > $o)).
% 0.21/0.52 tff(rinvF_type, type, (
% 0.21/0.52 rinvF: ( $i * $i ) > $o)).
% 0.21/0.52 tff(ca_Vx3_type, type, (
% 0.21/0.52 ca_Vx3: $i > $o)).
% 0.21/0.52 tff(rinvR_type, type, (
% 0.21/0.52 rinvR: ( $i * $i ) > $o)).
% 0.21/0.52 tff(rr_type, type, (
% 0.21/0.52 rr: ( $i * $i ) > $o)).
% 0.21/0.52 tff(cUnsatisfiable_type, type, (
% 0.21/0.52 cUnsatisfiable: $i > $o)).
% 0.21/0.52 tff(tptp_fun_Y_1_type, type, (
% 0.21/0.52 tptp_fun_Y_1: $i > $i)).
% 0.21/0.52 tff(tptp_fun_Y_2_type, type, (
% 0.21/0.52 tptp_fun_Y_2: $i > $i)).
% 0.21/0.52 tff(1,assumption,((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0))))), introduced(assumption)).
% 0.21/0.52 tff(2,plain,
% 0.21/0.52 (^[X: $i] : refl((~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(3,plain,
% 0.21/0.52 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> ![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[2])).
% 0.21/0.52 tff(4,plain,
% 0.21/0.52 (^[X: $i] : rewrite((~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(5,plain,
% 0.21/0.52 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> ![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[4])).
% 0.21/0.52 tff(6,plain,
% 0.21/0.52 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))) <=> ![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[5, 3])).
% 0.21/0.52 tff(7,plain,
% 0.21/0.52 (^[X: $i] : trans(monotonicity(rewrite((ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))) <=> (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))), ((((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))) <=> (((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))))), rewrite((((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))) <=> (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))), ((((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))) <=> (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(8,plain,
% 0.21/0.52 (![X: $i] : (((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0)))) <=> ![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[7])).
% 0.21/0.52 tff(9,plain,
% 0.21/0.52 (![X: $i] : (ccxcomp(X) <=> ?[Y0: $i] : ra_Px1(X, Y0)) <=> ![X: $i] : (ccxcomp(X) <=> ?[Y0: $i] : ra_Px1(X, Y0))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(10,axiom,(![X: $i] : (ccxcomp(X) <=> ?[Y0: $i] : ra_Px1(X, Y0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_4')).
% 0.21/0.52 tff(11,plain,
% 0.21/0.52 (![X: $i] : (ccxcomp(X) <=> ?[Y0: $i] : ra_Px1(X, Y0))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.21/0.52 tff(12,plain,(
% 0.21/0.52 ![X: $i] : (((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X))) & (ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))),
% 0.21/0.52 inference(skolemize,[status(sab)],[11])).
% 0.21/0.52 tff(13,plain,
% 0.21/0.52 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.21/0.52 tff(14,plain,
% 0.21/0.52 (![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[13, 6])).
% 0.21/0.52 tff(15,plain,
% 0.21/0.52 ((~![X: $i] : (~((~((~ccxcomp(X)) | ra_Px1(X, tptp_fun_Y0_3(X)))) | (~(ccxcomp(X) | ![Y0: $i] : (~ra_Px1(X, Y0))))))) | (~((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0))))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(16,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[15, 14, 1])).
% 0.21/0.52 tff(17,plain,(~((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0)))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(18,assumption,(~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))), introduced(assumption)).
% 0.21/0.52 tff(19,assumption,(cowlNothing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))), introduced(assumption)).
% 0.21/0.52 tff(20,plain,
% 0.21/0.52 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(21,plain,
% 0.21/0.52 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[20])).
% 0.21/0.52 tff(22,plain,
% 0.21/0.52 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(23,plain,
% 0.21/0.52 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[22])).
% 0.21/0.52 tff(24,plain,
% 0.21/0.52 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(25,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.21/0.52 tff(26,plain,
% 0.21/0.52 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.21/0.52 tff(27,plain,(
% 0.21/0.52 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.52 inference(skolemize,[status(sab)],[26])).
% 0.21/0.52 tff(28,plain,
% 0.21/0.52 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.21/0.52 tff(29,plain,
% 0.21/0.52 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.21/0.52 tff(30,plain,
% 0.21/0.52 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(31,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[30, 29, 19])).
% 0.21/0.52 tff(32,plain,(~(cowlNothing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(33,plain,
% 0.21/0.52 ((cowlNothing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(34,plain,
% 0.21/0.52 (cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.21/0.52 tff(35,plain,
% 0.21/0.52 (^[X: $i] : refl(((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1)))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(36,plain,
% 0.21/0.52 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[35])).
% 0.21/0.52 tff(37,plain,
% 0.21/0.52 (^[X: $i] : rewrite(((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1)))) <=> ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(38,plain,
% 0.21/0.52 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[37])).
% 0.21/0.52 tff(39,plain,
% 0.21/0.52 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1)))) <=> ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[38, 36])).
% 0.21/0.52 tff(40,plain,
% 0.21/0.52 (^[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, Y0)) | (~rf(X, Y1)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(41,plain,
% 0.21/0.52 (![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, Y0)) | (~rf(X, Y1))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[40])).
% 0.21/0.52 tff(42,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(43,plain,
% 0.21/0.52 (^[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)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(44,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[43])).
% 0.21/0.52 tff(45,axiom,(![X: $i] : (cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_7')).
% 0.21/0.52 tff(46,plain,
% 0.21/0.52 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.21/0.52 tff(47,plain,
% 0.21/0.52 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.21/0.52 tff(48,plain,(
% 0.21/0.52 ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.21/0.52 inference(skolemize,[status(sab)],[47])).
% 0.21/0.52 tff(49,plain,
% 0.21/0.52 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.21/0.52 tff(50,plain,
% 0.21/0.52 (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[49, 39])).
% 0.21/0.52 tff(51,plain,
% 0.21/0.52 (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(52,plain,
% 0.21/0.52 (((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)))) <=> ((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(53,plain,
% 0.21/0.52 (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))))),
% 0.21/0.52 inference(monotonicity,[status(thm)],[52])).
% 0.21/0.52 tff(54,plain,
% 0.21/0.52 (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[53, 51])).
% 0.21/0.52 tff(55,plain,
% 0.21/0.52 ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(56,plain,
% 0.21/0.52 ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | (~cowlThing(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.21/0.52 tff(57,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[56, 50, 34, 18])).
% 0.21/0.52 tff(58,plain,(![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(59,assumption,(![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))), introduced(assumption)).
% 0.21/0.52 tff(60,assumption,(~(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))), introduced(assumption)).
% 0.21/0.52 tff(61,assumption,((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))), introduced(assumption)).
% 0.21/0.52 tff(62,plain,
% 0.21/0.52 (^[X: $i] : refl((~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(63,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[62])).
% 0.21/0.52 tff(64,plain,
% 0.21/0.52 (^[X: $i] : rewrite((~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(65,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[64])).
% 0.21/0.52 tff(66,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[65, 63])).
% 0.21/0.52 tff(67,plain,
% 0.21/0.52 (^[X: $i] : trans(monotonicity(rewrite(((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) <=> ((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))), rewrite((cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y)))) <=> (cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))), ((((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))))) <=> (((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X))))) & (cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))))), rewrite((((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X))))) & (cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y))))) <=> (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))), ((((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))))) <=> (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(68,plain,
% 0.21/0.53 (![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[67])).
% 0.21/0.53 tff(69,plain,
% 0.21/0.53 (^[X: $i] : rewrite((((~cd(X)) | ((rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))) | (~cc(X))))) <=> (((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(70,plain,
% 0.21/0.53 (![X: $i] : (((~cd(X)) | ((rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))) | (~cc(X))))) <=> ![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[69])).
% 0.21/0.53 tff(71,plain,
% 0.21/0.53 (![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & ccxcomp(Y)) & cc(X))) <=> ![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & ccxcomp(Y)) & cc(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(72,axiom,(![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & ccxcomp(Y)) & cc(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_5')).
% 0.21/0.53 tff(73,plain,
% 0.21/0.53 (![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & ccxcomp(Y)) & cc(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.21/0.53 tff(74,plain,(
% 0.21/0.53 ![X: $i] : (((~cd(X)) | ((rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & ccxcomp(Y))) | (~cc(X)))))),
% 0.21/0.53 inference(skolemize,[status(sab)],[73])).
% 0.21/0.53 tff(75,plain,
% 0.21/0.53 (![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_4(X)) & ccxcomp(tptp_fun_Y_4(X)) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & ccxcomp(Y)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.21/0.53 tff(76,plain,
% 0.21/0.53 (![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[75, 68])).
% 0.21/0.53 tff(77,plain,
% 0.21/0.53 (![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[76, 66])).
% 0.21/0.53 tff(78,plain,
% 0.21/0.53 (((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(79,plain,
% 0.21/0.53 ((~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)) | (~ccxcomp(Y))))))) <=> (~((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(80,plain,
% 0.21/0.53 (((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)) | (~ccxcomp(Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))))))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[79])).
% 0.21/0.53 tff(81,plain,
% 0.21/0.53 (((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)) | (~ccxcomp(Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))))))),
% 0.21/0.53 inference(transitivity,[status(thm)],[80, 78])).
% 0.21/0.53 tff(82,plain,
% 0.21/0.53 ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y)) | (~ccxcomp(Y)))))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(83,plain,
% 0.21/0.53 ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.21/0.53 tff(84,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[83, 77, 61])).
% 0.21/0.53 tff(85,plain,(~((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.53 tff(86,plain,
% 0.21/0.53 (((~(cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))) | ((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(87,plain,
% 0.21/0.53 ((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.21/0.53 tff(88,assumption,(~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), introduced(assumption)).
% 0.21/0.53 tff(89,plain,
% 0.21/0.53 (^[X: $i, Y: $i] : refl((rinvR(X, Y) <=> rr(Y, X)) <=> (rinvR(X, Y) <=> rr(Y, X)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(90,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X)) <=> ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[89])).
% 0.21/0.53 tff(91,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X)) <=> ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(92,axiom,(![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_9')).
% 0.21/0.53 tff(93,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.21/0.53 tff(94,plain,(
% 0.21/0.53 ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.21/0.53 inference(skolemize,[status(sab)],[93])).
% 0.21/0.53 tff(95,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[94, 90])).
% 0.21/0.53 tff(96,plain,
% 0.21/0.53 ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(97,plain,
% 0.21/0.53 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[96, 95])).
% 0.21/0.53 tff(98,plain,
% 0.21/0.53 (^[X: $i, Y: $i] : refl((rinvF(X, Y) <=> rf(Y, X)) <=> (rinvF(X, Y) <=> rf(Y, X)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(99,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X)) <=> ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[98])).
% 0.21/0.53 tff(100,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X)) <=> ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(101,axiom,(![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_8')).
% 0.21/0.53 tff(102,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.21/0.53 tff(103,plain,(
% 0.21/0.53 ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.21/0.53 inference(skolemize,[status(sab)],[102])).
% 0.21/0.53 tff(104,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[103, 99])).
% 0.21/0.53 tff(105,plain,
% 0.21/0.53 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(106,plain,
% 0.21/0.53 (rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[105, 104])).
% 0.21/0.53 tff(107,plain,
% 0.21/0.53 (^[X: $i] : refl((~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(108,plain,
% 0.21/0.53 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> ![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[107])).
% 0.21/0.53 tff(109,plain,
% 0.21/0.53 (^[X: $i] : rewrite((~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(110,plain,
% 0.21/0.53 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> ![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[109])).
% 0.21/0.53 tff(111,plain,
% 0.21/0.53 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> ![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.21/0.53 inference(transitivity,[status(thm)],[110, 108])).
% 0.21/0.53 tff(112,plain,
% 0.21/0.53 (^[X: $i] : trans(monotonicity(rewrite(((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) <=> ((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))), rewrite((ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))) <=> (ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))), ((((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X)))))) & (ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))), rewrite((((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X)))))) & (ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) <=> (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))), ((((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(113,plain,
% 0.21/0.53 (![X: $i] : (((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> ![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[112])).
% 0.21/0.53 tff(114,plain,
% 0.21/0.53 (![X: $i] : (ca_Vx3(X) <=> ?[Y: $i] : (rinvF(X, Y) & cd(Y))) <=> ![X: $i] : (ca_Vx3(X) <=> ?[Y: $i] : (rinvF(X, Y) & cd(Y)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(115,axiom,(![X: $i] : (ca_Vx3(X) <=> ?[Y: $i] : (rinvF(X, Y) & cd(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_6')).
% 0.21/0.53 tff(116,plain,
% 0.21/0.53 (![X: $i] : (ca_Vx3(X) <=> ?[Y: $i] : (rinvF(X, Y) & cd(Y)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.21/0.53 tff(117,plain,(
% 0.21/0.53 ![X: $i] : (((~ca_Vx3(X)) | (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (ca_Vx3(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))),
% 0.21/0.53 inference(skolemize,[status(sab)],[116])).
% 0.21/0.53 tff(118,plain,
% 0.21/0.53 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[117, 113])).
% 0.21/0.53 tff(119,plain,
% 0.21/0.53 (![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[118, 111])).
% 0.21/0.53 tff(120,plain,
% 0.21/0.53 (((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)))))))) <=> ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y))))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(121,plain,
% 0.21/0.53 ((~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)) | (~cd(Y))))))) <=> (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(122,plain,
% 0.21/0.53 (((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)) | (~cd(Y)))))))) <=> ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y))))))))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[121])).
% 0.21/0.53 tff(123,plain,
% 0.21/0.53 (((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)) | (~cd(Y)))))))) <=> ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y))))))))),
% 0.21/0.53 inference(transitivity,[status(thm)],[122, 120])).
% 0.21/0.53 tff(124,plain,
% 0.21/0.53 ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)) | (~cd(Y)))))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(125,plain,
% 0.21/0.53 ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.21/0.53 tff(126,plain,
% 0.21/0.53 (~((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y))))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[125, 119])).
% 0.21/0.53 tff(127,plain,
% 0.21/0.53 (((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), Y)))))) | ((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(128,plain,
% 0.21/0.53 ((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.21/0.53 tff(129,plain,
% 0.21/0.53 ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(130,plain,
% 0.21/0.53 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[129, 95])).
% 0.21/0.53 tff(131,plain,
% 0.21/0.53 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(132,plain,
% 0.21/0.53 (rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[131, 104])).
% 0.21/0.53 tff(133,plain,
% 0.21/0.53 (^[X: $i] : refl((~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))))) <=> (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(134,plain,
% 0.21/0.53 (![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[133])).
% 0.21/0.53 tff(135,plain,
% 0.21/0.53 (^[X: $i] : rewrite((~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))))) <=> (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(136,plain,
% 0.21/0.53 (![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[135])).
% 0.21/0.53 tff(137,plain,
% 0.21/0.53 (![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))),
% 0.21/0.53 inference(transitivity,[status(thm)],[136, 134])).
% 0.21/0.53 tff(138,plain,
% 0.21/0.53 (^[X: $i] : trans(monotonicity(rewrite(((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) <=> ((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y)))))))), rewrite((cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))) <=> (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))), ((((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))), rewrite((((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) <=> (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))), ((((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(139,plain,
% 0.21/0.53 (![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[138])).
% 0.21/0.53 tff(140,plain,
% 0.21/0.53 (^[X: $i] : rewrite((((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X))))) & (cUnsatisfiable(X) | ((~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))) <=> (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(141,plain,
% 0.21/0.53 (![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X))))) & (cUnsatisfiable(X) | ((~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))) <=> ![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[140])).
% 0.21/0.53 tff(142,plain,
% 0.21/0.53 (![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(143,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cUnsatisfiable(X) <=> ((ccxcomp(X) & ![Y: $i] : (rinvR(X, Y) => ca_Vx3(Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(144,plain,
% 0.21/0.53 (![X: $i] : (cUnsatisfiable(X) <=> ((ccxcomp(X) & ![Y: $i] : (rinvR(X, Y) => ca_Vx3(Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[143])).
% 0.21/0.53 tff(145,axiom,(![X: $i] : (cUnsatisfiable(X) <=> ((ccxcomp(X) & ![Y: $i] : (rinvR(X, Y) => ca_Vx3(Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 0.21/0.53 tff(146,plain,
% 0.21/0.53 (![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.21/0.53 tff(147,plain,
% 0.21/0.53 (![X: $i] : (cUnsatisfiable(X) <=> (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[146, 142])).
% 0.21/0.53 tff(148,plain,(
% 0.21/0.53 ![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & (rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X))))) & (cUnsatisfiable(X) | ((~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))))),
% 0.21/0.53 inference(skolemize,[status(sab)],[147])).
% 0.21/0.53 tff(149,plain,
% 0.21/0.53 (![X: $i] : (((~cUnsatisfiable(X)) | (ccxcomp(X) & ![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))) & rinvF(X, tptp_fun_Y_0(X)) & cd(tptp_fun_Y_0(X)))) & (cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[148, 141])).
% 0.21/0.53 tff(150,plain,
% 0.21/0.53 (![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[149, 139])).
% 0.21/0.54 tff(151,plain,
% 0.21/0.54 (![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[150, 137])).
% 0.21/0.54 tff(152,plain,
% 0.21/0.54 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(153,plain,
% 0.21/0.54 ((~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rinvF(i2003_11_14_17_21_37349, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))))))))) <=> (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(154,plain,
% 0.21/0.54 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rinvF(i2003_11_14_17_21_37349, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))),
% 0.21/0.54 inference(monotonicity,[status(thm)],[153])).
% 0.21/0.54 tff(155,plain,
% 0.21/0.54 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rinvF(i2003_11_14_17_21_37349, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))),
% 0.21/0.54 inference(transitivity,[status(thm)],[154, 152])).
% 0.21/0.54 tff(156,plain,
% 0.21/0.54 ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~rinvF(i2003_11_14_17_21_37349, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y))))))))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(157,plain,
% 0.21/0.54 ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~ccxcomp(X)) | (~(ca_Vx3(tptp_fun_Y_1(X)) | (~rinvR(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))) | (~ccxcomp(X)) | (~![Y: $i] : (ca_Vx3(Y) | (~rinvR(X, Y))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.21/0.54 tff(158,plain,
% 0.21/0.54 (~((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[157, 151])).
% 0.21/0.54 tff(159,plain,
% 0.21/0.54 (((~(cUnsatisfiable(i2003_11_14_17_21_37349) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~(ca_Vx3(tptp_fun_Y_1(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_1(i2003_11_14_17_21_37349))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_21_37349, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | ((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(160,plain,
% 0.21/0.54 ((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[159, 158])).
% 0.21/0.54 tff(161,plain,
% 0.21/0.54 (cUnsatisfiable(i2003_11_14_17_21_37349) <=> cUnsatisfiable(i2003_11_14_17_21_37349)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(162,axiom,(cUnsatisfiable(i2003_11_14_17_21_37349)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_11')).
% 0.21/0.54 tff(163,plain,
% 0.21/0.54 (cUnsatisfiable(i2003_11_14_17_21_37349)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.21/0.54 tff(164,plain,
% 0.21/0.54 ((~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(165,plain,
% 0.21/0.54 ((~((~cUnsatisfiable(i2003_11_14_17_21_37349)) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[164, 163])).
% 0.21/0.54 tff(166,plain,
% 0.21/0.54 (~((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[165, 160])).
% 0.21/0.54 tff(167,plain,
% 0.21/0.54 (((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(168,plain,
% 0.21/0.54 (rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[167, 166])).
% 0.21/0.54 tff(169,plain,
% 0.21/0.54 ((~(rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(170,plain,
% 0.21/0.54 ((~(rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) | rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[169, 168])).
% 0.21/0.54 tff(171,plain,
% 0.21/0.54 (rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[170, 132])).
% 0.21/0.54 tff(172,plain,
% 0.21/0.54 (^[X: $i, Y: $i] : refl(((~rf(X, Y)) | rr(X, Y)) <=> ((~rf(X, Y)) | rr(X, Y)))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(173,plain,
% 0.21/0.54 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[172])).
% 0.21/0.54 tff(174,plain,
% 0.21/0.54 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(175,plain,
% 0.21/0.54 (^[X: $i, Y: $i] : rewrite((rf(X, Y) => rr(X, Y)) <=> ((~rf(X, Y)) | rr(X, Y)))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(176,plain,
% 0.21/0.54 (![X: $i, Y: $i] : (rf(X, Y) => rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[175])).
% 0.21/0.54 tff(177,axiom,(![X: $i, Y: $i] : (rf(X, Y) => rr(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_12')).
% 0.21/0.54 tff(178,plain,
% 0.21/0.54 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.21/0.54 tff(179,plain,
% 0.21/0.54 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[178, 174])).
% 0.21/0.54 tff(180,plain,(
% 0.21/0.54 ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.21/0.54 inference(skolemize,[status(sab)],[179])).
% 0.21/0.54 tff(181,plain,
% 0.21/0.54 (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[180, 173])).
% 0.21/0.54 tff(182,plain,
% 0.21/0.54 (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(183,plain,
% 0.21/0.54 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(184,plain,
% 0.21/0.54 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.21/0.54 tff(185,plain,
% 0.21/0.54 (rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[184, 181, 171])).
% 0.21/0.54 tff(186,plain,
% 0.21/0.54 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(187,plain,
% 0.21/0.54 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)) <=> rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[186, 185])).
% 0.21/0.54 tff(188,plain,
% 0.21/0.54 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[187, 130])).
% 0.21/0.54 tff(189,plain,
% 0.21/0.54 (((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (~ccxcomp(i2003_11_14_17_21_37349)) | (~cd(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvF(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(190,plain,
% 0.21/0.54 (![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[189, 166])).
% 0.21/0.54 tff(191,plain,
% 0.21/0.54 (((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(192,plain,
% 0.21/0.54 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(193,plain,
% 0.21/0.54 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349)) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.21/0.54 tff(194,plain,
% 0.21/0.54 (ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[193, 190, 188])).
% 0.21/0.54 tff(195,plain,
% 0.21/0.54 ((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(196,plain,
% 0.21/0.54 ((~((~ca_Vx3(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[195, 194])).
% 0.21/0.54 tff(197,plain,
% 0.21/0.54 (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[196, 128])).
% 0.21/0.54 tff(198,plain,
% 0.21/0.54 (((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(199,plain,
% 0.21/0.54 (rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[198, 197])).
% 0.21/0.54 tff(200,plain,
% 0.21/0.54 ((~(rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(201,plain,
% 0.21/0.54 ((~(rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[200, 199])).
% 0.21/0.54 tff(202,plain,
% 0.21/0.54 (rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[201, 106])).
% 0.21/0.54 tff(203,plain,
% 0.21/0.54 (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(204,plain,
% 0.21/0.54 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(205,plain,
% 0.21/0.54 ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.21/0.54 tff(206,plain,
% 0.21/0.54 (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[205, 181, 202])).
% 0.21/0.54 tff(207,plain,
% 0.21/0.54 (![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)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(208,plain,
% 0.21/0.54 (^[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)))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(209,plain,
% 0.21/0.54 (![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)))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[208])).
% 0.21/0.54 tff(210,plain,
% 0.21/0.54 (![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))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(211,plain,
% 0.21/0.54 (^[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)))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(212,plain,
% 0.21/0.54 (![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))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[211])).
% 0.21/0.54 tff(213,axiom,(![X: $i, Y: $i, Z: $i] : ((rr(X, Y) & rr(Y, Z)) => rr(X, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_10')).
% 0.21/0.54 tff(214,plain,
% 0.21/0.54 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.21/0.54 tff(215,plain,
% 0.21/0.54 (![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[214, 210])).
% 0.21/0.54 tff(216,plain,(
% 0.21/0.54 ![X: $i, Y: $i, Z: $i] : ((~(rr(X, Y) & rr(Y, Z))) | rr(X, Z))),
% 0.21/0.54 inference(skolemize,[status(sab)],[215])).
% 0.21/0.54 tff(217,plain,
% 0.21/0.54 (![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[216, 209])).
% 0.21/0.54 tff(218,plain,
% 0.21/0.54 (![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[217, 207])).
% 0.21/0.54 tff(219,plain,
% 0.21/0.54 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(220,plain,
% 0.21/0.54 ((rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349))) <=> ((~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(221,plain,
% 0.21/0.54 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | ((~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.54 inference(monotonicity,[status(thm)],[220])).
% 0.21/0.54 tff(222,plain,
% 0.21/0.54 (((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.54 inference(transitivity,[status(thm)],[221, 219])).
% 0.21/0.54 tff(223,plain,
% 0.21/0.54 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(224,plain,
% 0.21/0.54 ((~![X: $i, Y: $i, Z: $i] : (rr(X, Z) | (~rr(X, Y)) | (~rr(Y, Z)))) | (~rr(tptp_fun_Y_0(i2003_11_14_17_21_37349), i2003_11_14_17_21_37349)) | rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.21/0.54 tff(225,plain,
% 0.21/0.54 (rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[224, 218, 185, 206])).
% 0.21/0.54 tff(226,plain,
% 0.21/0.54 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(227,plain,
% 0.21/0.54 ((~(rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) <=> rr(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), i2003_11_14_17_21_37349))) | rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[226, 225])).
% 0.21/0.54 tff(228,plain,
% 0.21/0.54 (rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[227, 97])).
% 0.21/0.54 tff(229,plain,
% 0.21/0.54 (((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) <=> ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(230,plain,
% 0.21/0.54 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | (ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(231,plain,
% 0.21/0.54 ((~![Y: $i] : (ca_Vx3(Y) | (~rinvR(i2003_11_14_17_21_37349, Y)))) | ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~rinvR(i2003_11_14_17_21_37349, tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.21/0.54 tff(232,plain,
% 0.21/0.54 ($false),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[231, 190, 228, 88])).
% 0.21/0.54 tff(233,plain,(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.54 tff(234,assumption,((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))), introduced(assumption)).
% 0.21/0.54 tff(235,plain,
% 0.21/0.54 (((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))))) <=> ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(236,plain,
% 0.21/0.54 ((~((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)) | (~cd(Y))))))) <=> (~((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(237,plain,
% 0.21/0.54 (((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)) | (~cd(Y)))))))) <=> ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))))),
% 0.21/0.54 inference(monotonicity,[status(thm)],[236])).
% 0.21/0.54 tff(238,plain,
% 0.21/0.54 (((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)) | (~cd(Y)))))))) <=> ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))))),
% 0.21/0.54 inference(transitivity,[status(thm)],[237, 235])).
% 0.21/0.55 tff(239,plain,
% 0.21/0.55 ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)) | (~cd(Y)))))))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(240,plain,
% 0.21/0.55 ((~![X: $i] : (~((~((~ca_Vx3(X)) | (~((~rinvF(X, tptp_fun_Y_0(X))) | (~cd(tptp_fun_Y_0(X))))))) | (~(ca_Vx3(X) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))) | (~((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.21/0.55 tff(241,plain,
% 0.21/0.55 ($false),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[240, 119, 234])).
% 0.21/0.55 tff(242,plain,(~((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.55 tff(243,plain,
% 0.21/0.55 (((~(ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | (~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(244,plain,
% 0.21/0.55 ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[243, 242])).
% 0.21/0.55 tff(245,plain,
% 0.21/0.55 ((~((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(246,plain,
% 0.21/0.55 ((~ca_Vx3(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[245, 244])).
% 0.21/0.55 tff(247,plain,
% 0.21/0.55 (~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[246, 233])).
% 0.21/0.55 tff(248,plain,
% 0.21/0.55 (((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(249,plain,
% 0.21/0.55 (cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[248, 247])).
% 0.21/0.55 tff(250,plain,
% 0.21/0.55 ((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(251,plain,
% 0.21/0.55 ((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[250, 249])).
% 0.21/0.55 tff(252,plain,
% 0.21/0.55 (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[251, 87])).
% 0.21/0.55 tff(253,plain,
% 0.21/0.55 (((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(254,plain,
% 0.21/0.55 (rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[253, 252])).
% 0.21/0.55 tff(255,plain,
% 0.21/0.55 (((~cd(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(256,plain,
% 0.21/0.55 (rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[255, 247])).
% 0.39/0.55 tff(257,assumption,(~(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))), introduced(assumption)).
% 0.39/0.55 tff(258,plain,
% 0.39/0.55 ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.39/0.55 inference(quant_inst,[status(thm)],[])).
% 0.39/0.55 tff(259,plain,
% 0.39/0.55 ($false),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[258, 104, 257])).
% 0.39/0.55 tff(260,plain,(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), inference(lemma,lemma(discharge,[]))).
% 0.39/0.55 tff(261,plain,
% 0.39/0.55 ((~(rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) <=> rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(262,plain,
% 0.39/0.55 ((~rinvF(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[261, 260])).
% 0.39/0.55 tff(263,plain,
% 0.39/0.55 (rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[262, 256])).
% 0.39/0.55 tff(264,plain,
% 0.39/0.55 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(265,plain,
% 0.39/0.55 (((tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) <=> ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(266,plain,
% 0.39/0.55 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | ((tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.39/0.55 inference(monotonicity,[status(thm)],[265])).
% 0.39/0.55 tff(267,plain,
% 0.39/0.55 (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | ((tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.55 inference(transitivity,[status(thm)],[266, 264])).
% 0.39/0.55 tff(268,plain,
% 0.39/0.55 ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | ((tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.39/0.55 inference(quant_inst,[status(thm)],[])).
% 0.39/0.55 tff(269,plain,
% 0.39/0.55 ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.39/0.55 tff(270,plain,
% 0.39/0.55 ($false),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[269, 263, 254, 60, 59])).
% 0.39/0.55 tff(271,plain,((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y1)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), Y0)))) | (tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))), inference(lemma,lemma(discharge,[]))).
% 0.39/0.55 tff(272,plain,
% 0.39/0.55 (tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)) = tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[271, 58])).
% 0.39/0.55 tff(273,plain,
% 0.39/0.55 (ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) <=> ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.55 inference(monotonicity,[status(thm)],[272])).
% 0.39/0.55 tff(274,plain,
% 0.39/0.55 (ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) <=> ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.55 inference(symmetry,[status(thm)],[273])).
% 0.39/0.55 tff(275,assumption,(ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))), introduced(assumption)).
% 0.39/0.55 tff(276,plain,
% 0.39/0.55 (ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.39/0.55 tff(277,plain,
% 0.39/0.55 (^[X: $i] : rewrite((~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))) <=> (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y)))))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(278,plain,
% 0.39/0.55 (![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))) <=> ![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))))))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[277])).
% 0.39/0.55 tff(279,plain,
% 0.39/0.55 (^[X: $i] : refl((~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))) <=> (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(280,plain,
% 0.39/0.55 (![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))) <=> ![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[279])).
% 0.39/0.55 tff(281,plain,
% 0.39/0.55 (^[X: $i] : rewrite((~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))) <=> (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(282,plain,
% 0.39/0.55 (![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))) <=> ![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[281])).
% 0.39/0.55 tff(283,plain,
% 0.39/0.55 (![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))) <=> ![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))))),
% 0.39/0.55 inference(transitivity,[status(thm)],[282, 280])).
% 0.39/0.55 tff(284,plain,
% 0.39/0.55 (^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))) <=> (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))), (((cc(X) | ra_Px1(X, tptp_fun_Y_2(X))) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))) <=> ((cc(X) | ra_Px1(X, tptp_fun_Y_2(X))) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))), rewrite(((cc(X) | ra_Px1(X, tptp_fun_Y_2(X))) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))) <=> (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))))), (((cc(X) | ra_Px1(X, tptp_fun_Y_2(X))) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))) <=> (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(285,plain,
% 0.39/0.55 (![X: $i] : ((cc(X) | ra_Px1(X, tptp_fun_Y_2(X))) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))) <=> ![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[284])).
% 0.39/0.55 tff(286,plain,
% 0.39/0.55 (^[X: $i] : rewrite(((ra_Px1(X, tptp_fun_Y_2(X)) | cc(X)) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))) <=> ((cc(X) | ra_Px1(X, tptp_fun_Y_2(X))) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(287,plain,
% 0.39/0.55 (![X: $i] : ((ra_Px1(X, tptp_fun_Y_2(X)) | cc(X)) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X)))) <=> ![X: $i] : ((cc(X) | ra_Px1(X, tptp_fun_Y_2(X))) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[286])).
% 0.39/0.55 tff(288,plain,
% 0.39/0.55 (![X: $i] : (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X))) <=> ![X: $i] : (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X)))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(289,plain,
% 0.39/0.55 (^[X: $i] : trans(trans(monotonicity(rewrite((~?[Y: $i] : ra_Px1(X, Y)) <=> (~?[Y: $i] : ra_Px1(X, Y))), ((cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y))) <=> (cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y))))), rewrite((cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y))) <=> (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X)))), ((cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y))) <=> (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X))))), rewrite((~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X))) <=> (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X)))), ((cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y))) <=> (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X)))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(290,plain,
% 0.39/0.55 (![X: $i] : (cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y))) <=> ![X: $i] : (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X)))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[289])).
% 0.39/0.55 tff(291,axiom,(![X: $i] : (cc(X) <=> (~?[Y: $i] : ra_Px1(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.39/0.55 tff(292,plain,
% 0.39/0.55 (![X: $i] : (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X)))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[291, 290])).
% 0.39/0.55 tff(293,plain,
% 0.39/0.55 (![X: $i] : (~(?[Y: $i] : ra_Px1(X, Y) <=> cc(X)))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[292, 288])).
% 0.39/0.55 tff(294,plain,(
% 0.39/0.55 ![X: $i] : ((ra_Px1(X, tptp_fun_Y_2(X)) | cc(X)) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))),
% 0.39/0.55 inference(skolemize,[status(sab)],[293])).
% 0.39/0.55 tff(295,plain,
% 0.39/0.55 (![X: $i] : ((cc(X) | ra_Px1(X, tptp_fun_Y_2(X))) & (![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[294, 287])).
% 0.39/0.55 tff(296,plain,
% 0.39/0.55 (![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[295, 285])).
% 0.39/0.55 tff(297,plain,
% 0.39/0.55 (![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~(![Y: $i] : (~ra_Px1(X, Y)) | (~cc(X))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[296, 283])).
% 0.39/0.55 tff(298,plain,
% 0.39/0.55 (![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[297, 278])).
% 0.39/0.55 tff(299,plain,
% 0.39/0.55 ((~![X: $i] : (~((~(cc(X) | ra_Px1(X, tptp_fun_Y_2(X)))) | (~((~cc(X)) | ![Y: $i] : (~ra_Px1(X, Y))))))) | (~((~(cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_2(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))))),
% 0.39/0.55 inference(quant_inst,[status(thm)],[])).
% 0.39/0.55 tff(300,plain,
% 0.39/0.55 (~((~(cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_2(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[299, 298])).
% 0.39/0.55 tff(301,plain,
% 0.39/0.55 (((~(cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_2(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))) | ((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(302,plain,
% 0.39/0.55 ((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[301, 300])).
% 0.39/0.55 tff(303,plain,
% 0.39/0.55 (((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))))))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(304,plain,
% 0.39/0.55 ((~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)) | (~ccxcomp(Y))))))) <=> (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))))))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(305,plain,
% 0.39/0.55 (((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)) | (~ccxcomp(Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))))))),
% 0.39/0.55 inference(monotonicity,[status(thm)],[304])).
% 0.39/0.55 tff(306,plain,
% 0.39/0.55 (((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)) | (~ccxcomp(Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))))))),
% 0.39/0.55 inference(transitivity,[status(thm)],[305, 303])).
% 0.39/0.55 tff(307,plain,
% 0.39/0.55 ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)) | (~ccxcomp(Y)))))))),
% 0.39/0.55 inference(quant_inst,[status(thm)],[])).
% 0.39/0.55 tff(308,plain,
% 0.39/0.55 ((~![X: $i] : (~((~((~cd(X)) | (~((~rf(X, tptp_fun_Y_4(X))) | (~ccxcomp(tptp_fun_Y_4(X))) | (~cc(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : ((~rf(X, Y)) | (~ccxcomp(Y)))))))) | (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.39/0.55 tff(309,plain,
% 0.39/0.55 (~((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[308, 77])).
% 0.39/0.55 tff(310,plain,
% 0.39/0.55 (((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~(cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : ((~ccxcomp(Y)) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))))) | ((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(311,plain,
% 0.39/0.55 ((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[310, 309])).
% 0.39/0.55 tff(312,plain,
% 0.39/0.55 (((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~rinvF(tptp_fun_Y_0(i2003_11_14_17_21_37349), tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(313,plain,
% 0.39/0.55 (cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[312, 197])).
% 0.39/0.55 tff(314,plain,
% 0.39/0.55 ((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(315,plain,
% 0.39/0.55 ((~((~cd(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))))) | (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[314, 313])).
% 0.39/0.55 tff(316,plain,
% 0.39/0.55 (~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[315, 311])).
% 0.39/0.55 tff(317,plain,
% 0.39/0.55 (((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(318,plain,
% 0.39/0.55 (cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[317, 316])).
% 0.39/0.55 tff(319,plain,
% 0.39/0.55 ((~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))) | (~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(320,plain,
% 0.39/0.55 ((~((~cc(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y)))) | ![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[319, 318])).
% 0.39/0.55 tff(321,plain,
% 0.39/0.55 (![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[320, 302])).
% 0.39/0.55 tff(322,plain,
% 0.39/0.55 ((~![Y: $i] : (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), Y))) | (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.39/0.55 inference(quant_inst,[status(thm)],[])).
% 0.39/0.55 tff(323,plain,
% 0.39/0.55 (~ra_Px1(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[322, 321])).
% 0.39/0.55 tff(324,plain,
% 0.39/0.55 ($false),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[323, 276])).
% 0.39/0.55 tff(325,plain,(~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))), inference(lemma,lemma(discharge,[]))).
% 0.39/0.55 tff(326,plain,
% 0.39/0.55 (((~cc(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | (~rf(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))), tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))) | ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(327,plain,
% 0.39/0.55 (ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[326, 252])).
% 0.39/0.55 tff(328,plain,
% 0.39/0.55 ((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))))),
% 0.39/0.56 inference(tautology,[status(thm)],[])).
% 0.39/0.56 tff(329,plain,
% 0.39/0.56 (~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.39/0.56 inference(unit_resolution,[status(thm)],[328, 327, 325])).
% 0.39/0.56 tff(330,plain,
% 0.39/0.56 (((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0))))) | ((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))),
% 0.39/0.56 inference(tautology,[status(thm)],[])).
% 0.39/0.56 tff(331,plain,
% 0.39/0.56 ((~((~ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))) | ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), tptp_fun_Y0_3(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))))))) | (~(ccxcomp(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349))))) | ![Y0: $i] : (~ra_Px1(tptp_fun_Y_4(tptp_fun_Y_0(tptp_fun_Y_0(tptp_fun_Y_0(i2003_11_14_17_21_37349)))), Y0))))),
% 0.39/0.56 inference(unit_resolution,[status(thm)],[330, 329])).
% 0.39/0.56 tff(332,plain,
% 0.39/0.56 ($false),
% 0.39/0.56 inference(unit_resolution,[status(thm)],[331, 17])).
% 0.39/0.56 % SZS output end Proof
% 0.39/0.56 % E exiting
%------------------------------------------------------------------------------