Z3---4.15.1.UNS-Prf.s

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Problem Process solution in
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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : KRS083+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n003.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 05:13:20 AM UTC 2025

% Result   : Unsatisfiable 0.46s 0.64s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : KRS083+1 : TPTP v9.0.0. Released v3.1.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Jun 19 19:11:09 EDT 2025
% 0.14/0.36  % CPUTime    : 
% 0.46/0.64  % SZS status Unsatisfiable
% 0.46/0.64  % SZS output start Proof
% 0.46/0.64  tff(cd_type, type, (
% 0.46/0.64     cd: $i > $o)).
% 0.46/0.64  tff(tptp_fun_Y_1_type, type, (
% 0.46/0.64     tptp_fun_Y_1: $i > $i)).
% 0.46/0.64  tff(i2003_11_14_17_19_32337_type, type, (
% 0.46/0.64     i2003_11_14_17_19_32337: $i)).
% 0.46/0.64  tff(tptp_fun_Y_3_type, type, (
% 0.46/0.64     tptp_fun_Y_3: $i > $i)).
% 0.46/0.64  tff(tptp_fun_Z_0_type, type, (
% 0.46/0.64     tptp_fun_Z_0: $i > $i)).
% 0.46/0.64  tff(rf_type, type, (
% 0.46/0.64     rf: ( $i * $i ) > $o)).
% 0.46/0.64  tff(cowlThing_type, type, (
% 0.46/0.64     cowlThing: $i > $o)).
% 0.46/0.64  tff(cowlNothing_type, type, (
% 0.46/0.64     cowlNothing: $i > $o)).
% 0.46/0.64  tff(cc_type, type, (
% 0.46/0.64     cc: $i > $o)).
% 0.46/0.64  tff(rinvF_type, type, (
% 0.46/0.64     rinvF: ( $i * $i ) > $o)).
% 0.46/0.64  tff(rinvR_type, type, (
% 0.46/0.64     rinvR: ( $i * $i ) > $o)).
% 0.46/0.64  tff(rr_type, type, (
% 0.46/0.64     rr: ( $i * $i ) > $o)).
% 0.46/0.64  tff(cUnsatisfiable_type, type, (
% 0.46/0.64     cUnsatisfiable: $i > $o)).
% 0.46/0.64  tff(tptp_fun_Y_2_type, type, (
% 0.46/0.64     tptp_fun_Y_2: $i > $i)).
% 0.46/0.64  tff(1,assumption,(cowlNothing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))), introduced(assumption)).
% 0.46/0.64  tff(2,plain,
% 0.46/0.64      (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(3,plain,
% 0.46/0.64      (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[2])).
% 0.46/0.64  tff(4,plain,
% 0.46/0.64      (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(5,plain,
% 0.46/0.64      (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[4])).
% 0.46/0.64  tff(6,plain,
% 0.46/0.64      (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.46/0.64      inference(rewrite,[status(thm)],[])).
% 0.46/0.64  tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.46/0.64  tff(8,plain,
% 0.46/0.64      (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[7, 6])).
% 0.46/0.64  tff(9,plain,(
% 0.46/0.64      ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.46/0.64      inference(skolemize,[status(sab)],[8])).
% 0.46/0.64  tff(10,plain,
% 0.46/0.64      (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[9, 5])).
% 0.46/0.64  tff(11,plain,
% 0.46/0.64      (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[10, 3])).
% 0.46/0.64  tff(12,plain,
% 0.46/0.64      ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.46/0.64      inference(quant_inst,[status(thm)],[])).
% 0.46/0.64  tff(13,plain,
% 0.46/0.64      ($false),
% 0.46/0.64      inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.46/0.64  tff(14,plain,(~(cowlNothing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.64  tff(15,plain,
% 0.46/0.64      ((cowlNothing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.46/0.64      inference(tautology,[status(thm)],[])).
% 0.46/0.64  tff(16,plain,
% 0.46/0.64      (cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.46/0.64      inference(unit_resolution,[status(thm)],[15, 14])).
% 0.46/0.64  tff(17,plain,
% 0.46/0.64      (^[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)))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(18,plain,
% 0.46/0.64      (![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))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[17])).
% 0.46/0.64  tff(19,plain,
% 0.46/0.64      (^[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)))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(20,plain,
% 0.46/0.64      (![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))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[19])).
% 0.46/0.64  tff(21,plain,
% 0.46/0.64      (![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))))),
% 0.46/0.64      inference(transitivity,[status(thm)],[20, 18])).
% 0.46/0.64  tff(22,plain,
% 0.46/0.64      (^[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)))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(23,plain,
% 0.46/0.64      (![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))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[22])).
% 0.46/0.64  tff(24,plain,
% 0.46/0.64      (![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)))),
% 0.46/0.64      inference(rewrite,[status(thm)],[])).
% 0.46/0.64  tff(25,plain,
% 0.46/0.64      (^[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)))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(26,plain,
% 0.46/0.64      (![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)))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[25])).
% 0.46/0.64  tff(27,axiom,(![X: $i] : (cowlThing(X) => ![Y0: $i, Y1: $i] : ((rf(X, Y0) & rf(X, Y1)) => (Y0 = Y1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.46/0.64  tff(28,plain,
% 0.46/0.64      (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[27, 26])).
% 0.46/0.64  tff(29,plain,
% 0.46/0.64      (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[28, 24])).
% 0.46/0.64  tff(30,plain,(
% 0.46/0.64      ![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((~(rf(X, Y0) & rf(X, Y1))) | (Y0 = Y1)))),
% 0.46/0.64      inference(skolemize,[status(sab)],[29])).
% 0.46/0.64  tff(31,plain,
% 0.46/0.64      (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[30, 23])).
% 0.46/0.64  tff(32,plain,
% 0.46/0.64      (![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[31, 21])).
% 0.46/0.64  tff(33,plain,
% 0.46/0.64      (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0))))),
% 0.46/0.64      inference(rewrite,[status(thm)],[])).
% 0.46/0.64  tff(34,plain,
% 0.46/0.64      (((~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)))) <=> ((~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0))))),
% 0.46/0.64      inference(rewrite,[status(thm)],[])).
% 0.46/0.64  tff(35,plain,
% 0.46/0.64      (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))))),
% 0.46/0.64      inference(monotonicity,[status(thm)],[34])).
% 0.46/0.64  tff(36,plain,
% 0.46/0.64      (((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1))))) <=> ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0))))),
% 0.46/0.64      inference(transitivity,[status(thm)],[35, 33])).
% 0.46/0.64  tff(37,plain,
% 0.46/0.64      ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | ((~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1))))),
% 0.46/0.64      inference(quant_inst,[status(thm)],[])).
% 0.46/0.64  tff(38,plain,
% 0.46/0.64      ((~![X: $i] : ((~cowlThing(X)) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(X, Y0)) | (~rf(X, Y1))))) | (~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[37, 36])).
% 0.46/0.64  tff(39,plain,
% 0.46/0.64      ((~cowlThing(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))),
% 0.46/0.64      inference(unit_resolution,[status(thm)],[38, 32])).
% 0.46/0.64  tff(40,plain,
% 0.46/0.64      (![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))),
% 0.46/0.64      inference(unit_resolution,[status(thm)],[39, 16])).
% 0.46/0.64  tff(41,plain,
% 0.46/0.64      (^[X: $i] : refl((~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(42,plain,
% 0.46/0.64      (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[41])).
% 0.46/0.64  tff(43,plain,
% 0.46/0.64      (^[X: $i] : rewrite((~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(44,plain,
% 0.46/0.64      (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[43])).
% 0.46/0.64  tff(45,plain,
% 0.46/0.64      (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.46/0.64      inference(transitivity,[status(thm)],[44, 42])).
% 0.46/0.64  tff(46,plain,
% 0.46/0.64      (^[X: $i] : trans(monotonicity(rewrite(((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) <=> ((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))), rewrite((cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y))))) <=> (cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))), ((((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y)))))) <=> (((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X))))) & (cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))))), rewrite((((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X))))) & (cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))), ((((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y)))))) <=> (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(47,plain,
% 0.46/0.64      (![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y)))))) <=> ![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[46])).
% 0.46/0.64  tff(48,plain,
% 0.46/0.64      (^[X: $i] : rewrite((((~cd(X)) | ((rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X)))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & (~cc(Y)))) | (~cc(X))))) <=> (((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y)))))))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(49,plain,
% 0.46/0.64      (![X: $i] : (((~cd(X)) | ((rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X)))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & (~cc(Y)))) | (~cc(X))))) <=> ![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y))))))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[48])).
% 0.46/0.64  tff(50,plain,
% 0.46/0.64      (![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & (~cc(Y))) & cc(X))) <=> ![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & (~cc(Y))) & cc(X)))),
% 0.46/0.64      inference(rewrite,[status(thm)],[])).
% 0.46/0.64  tff(51,axiom,(![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & (~cc(Y))) & cc(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.46/0.64  tff(52,plain,
% 0.46/0.64      (![X: $i] : (cd(X) <=> (?[Y: $i] : (rf(X, Y) & (~cc(Y))) & cc(X)))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[51, 50])).
% 0.46/0.64  tff(53,plain,(
% 0.46/0.64      ![X: $i] : (((~cd(X)) | ((rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X)))) & cc(X))) & (cd(X) | (![Y: $i] : (~(rf(X, Y) & (~cc(Y)))) | (~cc(X)))))),
% 0.46/0.64      inference(skolemize,[status(sab)],[52])).
% 0.46/0.64  tff(54,plain,
% 0.46/0.64      (![X: $i] : (((~cd(X)) | (rf(X, tptp_fun_Y_3(X)) & (~cc(tptp_fun_Y_3(X))) & cc(X))) & (cd(X) | (~cc(X)) | ![Y: $i] : (~(rf(X, Y) & (~cc(Y))))))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[53, 49])).
% 0.46/0.64  tff(55,plain,
% 0.46/0.64      (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[54, 47])).
% 0.46/0.64  tff(56,plain,
% 0.46/0.64      (![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[55, 45])).
% 0.46/0.64  tff(57,plain,
% 0.46/0.64      (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))))),
% 0.46/0.64      inference(rewrite,[status(thm)],[])).
% 0.46/0.64  tff(58,plain,
% 0.46/0.64      ((~((~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))))) <=> (~((~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))))),
% 0.46/0.64      inference(rewrite,[status(thm)],[])).
% 0.46/0.64  tff(59,plain,
% 0.46/0.64      (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))))),
% 0.46/0.64      inference(monotonicity,[status(thm)],[58])).
% 0.46/0.64  tff(60,plain,
% 0.46/0.64      (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))))),
% 0.46/0.64      inference(transitivity,[status(thm)],[59, 57])).
% 0.46/0.64  tff(61,plain,
% 0.46/0.64      ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) | (~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y)))))))),
% 0.46/0.64      inference(quant_inst,[status(thm)],[])).
% 0.46/0.64  tff(62,plain,
% 0.46/0.64      ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))))),
% 0.46/0.64      inference(modus_ponens,[status(thm)],[61, 60])).
% 0.46/0.64  tff(63,plain,
% 0.46/0.64      (~((~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))),
% 0.46/0.64      inference(unit_resolution,[status(thm)],[62, 56])).
% 0.46/0.64  tff(64,plain,
% 0.46/0.64      (((~(cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y))))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) | ((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.46/0.64      inference(tautology,[status(thm)],[])).
% 0.46/0.64  tff(65,plain,
% 0.46/0.64      ((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.46/0.64      inference(unit_resolution,[status(thm)],[64, 63])).
% 0.46/0.64  tff(66,plain,
% 0.46/0.64      (^[X: $i, Y: $i] : refl((rinvR(X, Y) <=> rr(Y, X)) <=> (rinvR(X, Y) <=> rr(Y, X)))),
% 0.46/0.64      inference(bind,[status(th)],[])).
% 0.46/0.64  tff(67,plain,
% 0.46/0.64      (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X)) <=> ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.46/0.64      inference(quant_intro,[status(thm)],[66])).
% 0.46/0.64  tff(68,plain,
% 0.46/0.64      (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X)) <=> ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.46/0.65      inference(rewrite,[status(thm)],[])).
% 0.46/0.65  tff(69,axiom,(![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_6')).
% 0.46/0.65  tff(70,plain,
% 0.46/0.65      (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.46/0.65      inference(modus_ponens,[status(thm)],[69, 68])).
% 0.46/0.65  tff(71,plain,(
% 0.46/0.65      ![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.46/0.65      inference(skolemize,[status(sab)],[70])).
% 0.46/0.65  tff(72,plain,
% 0.46/0.65      (![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))),
% 0.46/0.65      inference(modus_ponens,[status(thm)],[71, 67])).
% 0.46/0.65  tff(73,plain,
% 0.46/0.65      ((~![X: $i, Y: $i] : (rinvR(X, Y) <=> rr(Y, X))) | (rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.46/0.65      inference(quant_inst,[status(thm)],[])).
% 0.46/0.65  tff(74,plain,
% 0.46/0.65      (rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.46/0.65      inference(unit_resolution,[status(thm)],[73, 72])).
% 0.46/0.65  tff(75,plain,
% 0.46/0.65      (^[X: $i, Y: $i] : refl((rinvF(X, Y) <=> rf(Y, X)) <=> (rinvF(X, Y) <=> rf(Y, X)))),
% 0.46/0.65      inference(bind,[status(th)],[])).
% 0.46/0.65  tff(76,plain,
% 0.46/0.65      (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X)) <=> ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.46/0.65      inference(quant_intro,[status(thm)],[75])).
% 0.46/0.65  tff(77,plain,
% 0.46/0.65      (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X)) <=> ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.46/0.65      inference(rewrite,[status(thm)],[])).
% 0.46/0.65  tff(78,axiom,(![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.46/0.65  tff(79,plain,
% 0.46/0.65      (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.46/0.65      inference(modus_ponens,[status(thm)],[78, 77])).
% 0.46/0.65  tff(80,plain,(
% 0.46/0.65      ![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.46/0.65      inference(skolemize,[status(sab)],[79])).
% 0.46/0.65  tff(81,plain,
% 0.46/0.65      (![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))),
% 0.46/0.65      inference(modus_ponens,[status(thm)],[80, 76])).
% 0.46/0.65  tff(82,plain,
% 0.46/0.65      ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(quant_inst,[status(thm)],[])).
% 0.48/0.65  tff(83,plain,
% 0.48/0.65      (rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[82, 81])).
% 0.48/0.65  tff(84,plain,
% 0.48/0.65      (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))))))))))),
% 0.48/0.65      inference(bind,[status(th)],[])).
% 0.48/0.65  tff(85,plain,
% 0.48/0.65      (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))),
% 0.48/0.65      inference(quant_intro,[status(thm)],[84])).
% 0.48/0.65  tff(86,plain,
% 0.48/0.65      (^[X: $i] : refl((~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))))),
% 0.48/0.65      inference(bind,[status(th)],[])).
% 0.48/0.65  tff(87,plain,
% 0.48/0.65      (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.48/0.65      inference(quant_intro,[status(thm)],[86])).
% 0.48/0.65  tff(88,plain,
% 0.48/0.65      (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))))),
% 0.48/0.65      inference(bind,[status(th)],[])).
% 0.48/0.65  tff(89,plain,
% 0.48/0.65      (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.48/0.65      inference(quant_intro,[status(thm)],[88])).
% 0.48/0.65  tff(90,plain,
% 0.48/0.65      (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.48/0.65      inference(transitivity,[status(thm)],[89, 87])).
% 0.48/0.65  tff(91,plain,
% 0.48/0.65      (^[X: $i] : trans(monotonicity(rewrite(((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) <=> ((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))), rewrite((cUnsatisfiable(X) | cc(X) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))) <=> (cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))), ((((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X)))))) & (cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))))), rewrite((((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X)))))) & (cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) <=> (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))), ((((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))))),
% 0.48/0.65      inference(bind,[status(th)],[])).
% 0.48/0.65  tff(92,plain,
% 0.48/0.65      (![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.48/0.65      inference(quant_intro,[status(thm)],[91])).
% 0.48/0.65  tff(93,plain,
% 0.48/0.65      (^[X: $i] : rewrite((((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & (rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X))))) & (cUnsatisfiable(X) | ((rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))) <=> (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))))),
% 0.48/0.65      inference(bind,[status(th)],[])).
% 0.48/0.65  tff(94,plain,
% 0.48/0.65      (![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & (rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X))))) & (cUnsatisfiable(X) | ((rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))) <=> ![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))),
% 0.48/0.65      inference(quant_intro,[status(thm)],[93])).
% 0.48/0.65  tff(95,plain,
% 0.48/0.65      (![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.48/0.65      inference(rewrite,[status(thm)],[])).
% 0.48/0.65  tff(96,plain,
% 0.48/0.65      (^[X: $i] : rewrite((cUnsatisfiable(X) <=> ((![Y: $i] : (rinvR(X, Y) => ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))))),
% 0.48/0.65      inference(bind,[status(th)],[])).
% 0.48/0.65  tff(97,plain,
% 0.48/0.65      (![X: $i] : (cUnsatisfiable(X) <=> ((![Y: $i] : (rinvR(X, Y) => ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.48/0.65      inference(quant_intro,[status(thm)],[96])).
% 0.48/0.65  tff(98,axiom,(![X: $i] : (cUnsatisfiable(X) <=> ((![Y: $i] : (rinvR(X, Y) => ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X))) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.48/0.65  tff(99,plain,
% 0.48/0.65      (![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[98, 97])).
% 0.48/0.65  tff(100,plain,
% 0.48/0.65      (![X: $i] : (cUnsatisfiable(X) <=> (![Y: $i] : ((~rinvR(X, Y)) | ?[Z: $i] : (rinvF(Y, Z) & cd(Z))) & (~cc(X)) & ?[Y: $i] : (rinvF(X, Y) & cd(Y))))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[99, 95])).
% 0.48/0.65  tff(101,plain,(
% 0.48/0.65      ![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & (rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X))))) & (cUnsatisfiable(X) | ((rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | cc(X) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y))))))),
% 0.48/0.65      inference(skolemize,[status(sab)],[100])).
% 0.48/0.65  tff(102,plain,
% 0.48/0.65      (![X: $i] : (((~cUnsatisfiable(X)) | (![Y: $i] : ((~rinvR(X, Y)) | (rinvF(Y, tptp_fun_Z_0(Y)) & cd(tptp_fun_Z_0(Y)))) & (~cc(X)) & rinvF(X, tptp_fun_Y_1(X)) & cd(tptp_fun_Y_1(X)))) & (cUnsatisfiable(X) | cc(X) | (rinvR(X, tptp_fun_Y_2(X)) & ![Z: $i] : (~(rinvF(tptp_fun_Y_2(X), Z) & cd(Z)))) | ![Y: $i] : (~(rinvF(X, Y) & cd(Y)))))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[101, 94])).
% 0.48/0.65  tff(103,plain,
% 0.48/0.65      (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[102, 92])).
% 0.48/0.65  tff(104,plain,
% 0.48/0.65      (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~(cc(X) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))))))) | (~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y)))))))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[103, 90])).
% 0.48/0.65  tff(105,plain,
% 0.48/0.65      (![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[104, 85])).
% 0.48/0.65  tff(106,plain,
% 0.48/0.65      (((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337))))))))),
% 0.48/0.65      inference(rewrite,[status(thm)],[])).
% 0.48/0.65  tff(107,plain,
% 0.48/0.65      ((~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(i2003_11_14_17_19_32337, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))))))))) <=> (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)))))))),
% 0.48/0.65      inference(rewrite,[status(thm)],[])).
% 0.48/0.65  tff(108,plain,
% 0.48/0.65      (((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(i2003_11_14_17_19_32337, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337))))))))),
% 0.48/0.65      inference(monotonicity,[status(thm)],[107])).
% 0.48/0.65  tff(109,plain,
% 0.48/0.65      (((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(i2003_11_14_17_19_32337, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337))))))))),
% 0.48/0.65      inference(transitivity,[status(thm)],[108, 106])).
% 0.48/0.65  tff(110,plain,
% 0.48/0.65      ((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(i2003_11_14_17_19_32337, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~(cc(i2003_11_14_17_19_32337) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))),
% 0.48/0.65      inference(quant_inst,[status(thm)],[])).
% 0.48/0.65  tff(111,plain,
% 0.48/0.65      ((~![X: $i] : (~((~(cUnsatisfiable(X) | cc(X) | (~((~rinvR(X, tptp_fun_Y_2(X))) | (~![Z: $i] : ((~rinvF(tptp_fun_Y_2(X), Z)) | (~cd(Z)))))) | ![Y: $i] : ((~rinvF(X, Y)) | (~cd(Y))))) | (~((~cUnsatisfiable(X)) | (~(cc(X) | (~rinvF(X, tptp_fun_Y_1(X))) | (~cd(tptp_fun_Y_1(X))) | (~![Y: $i] : ((~rinvR(X, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y)))))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)))))))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[110, 109])).
% 0.48/0.65  tff(112,plain,
% 0.48/0.65      (~((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337))))))),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[111, 105])).
% 0.48/0.65  tff(113,plain,
% 0.48/0.65      (((~(cUnsatisfiable(i2003_11_14_17_19_32337) | cc(i2003_11_14_17_19_32337) | (~((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_2(i2003_11_14_17_19_32337))) | (~![Z: $i] : ((~cd(Z)) | (~rinvF(tptp_fun_Y_2(i2003_11_14_17_19_32337), Z)))))) | ![Y: $i] : ((~cd(Y)) | (~rinvF(i2003_11_14_17_19_32337, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)))))) | ((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337))))),
% 0.48/0.65      inference(tautology,[status(thm)],[])).
% 0.48/0.65  tff(114,plain,
% 0.48/0.65      ((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)))),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[113, 112])).
% 0.48/0.65  tff(115,plain,
% 0.48/0.65      (cUnsatisfiable(i2003_11_14_17_19_32337) <=> cUnsatisfiable(i2003_11_14_17_19_32337)),
% 0.48/0.65      inference(rewrite,[status(thm)],[])).
% 0.48/0.65  tff(116,axiom,(cUnsatisfiable(i2003_11_14_17_19_32337)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_8')).
% 0.48/0.65  tff(117,plain,
% 0.48/0.65      (cUnsatisfiable(i2003_11_14_17_19_32337)),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[116, 115])).
% 0.48/0.65  tff(118,plain,
% 0.48/0.65      ((~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337))))) | (~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)))),
% 0.48/0.65      inference(tautology,[status(thm)],[])).
% 0.48/0.65  tff(119,plain,
% 0.48/0.65      ((~((~cUnsatisfiable(i2003_11_14_17_19_32337)) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337))))) | (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)))),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[118, 117])).
% 0.48/0.65  tff(120,plain,
% 0.48/0.65      (~((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[119, 114])).
% 0.48/0.65  tff(121,plain,
% 0.48/0.65      (((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)) | rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(tautology,[status(thm)],[])).
% 0.48/0.65  tff(122,plain,
% 0.48/0.65      (rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[121, 120])).
% 0.48/0.65  tff(123,plain,
% 0.48/0.65      ((~(rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.48/0.65      inference(tautology,[status(thm)],[])).
% 0.48/0.65  tff(124,plain,
% 0.48/0.65      ((~(rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) | rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[123, 122])).
% 0.48/0.65  tff(125,plain,
% 0.48/0.65      (rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[124, 83])).
% 0.48/0.65  tff(126,plain,
% 0.48/0.65      (^[X: $i, Y: $i] : refl(((~rf(X, Y)) | rr(X, Y)) <=> ((~rf(X, Y)) | rr(X, Y)))),
% 0.48/0.65      inference(bind,[status(th)],[])).
% 0.48/0.65  tff(127,plain,
% 0.48/0.65      (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.48/0.65      inference(quant_intro,[status(thm)],[126])).
% 0.48/0.65  tff(128,plain,
% 0.48/0.65      (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.48/0.65      inference(rewrite,[status(thm)],[])).
% 0.48/0.65  tff(129,plain,
% 0.48/0.65      (^[X: $i, Y: $i] : rewrite((rf(X, Y) => rr(X, Y)) <=> ((~rf(X, Y)) | rr(X, Y)))),
% 0.48/0.65      inference(bind,[status(th)],[])).
% 0.48/0.65  tff(130,plain,
% 0.48/0.65      (![X: $i, Y: $i] : (rf(X, Y) => rr(X, Y)) <=> ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.48/0.65      inference(quant_intro,[status(thm)],[129])).
% 0.48/0.65  tff(131,axiom,(![X: $i, Y: $i] : (rf(X, Y) => rr(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_9')).
% 0.48/0.65  tff(132,plain,
% 0.48/0.65      (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[131, 130])).
% 0.48/0.65  tff(133,plain,
% 0.48/0.65      (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[132, 128])).
% 0.48/0.65  tff(134,plain,(
% 0.48/0.65      ![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.48/0.65      inference(skolemize,[status(sab)],[133])).
% 0.48/0.65  tff(135,plain,
% 0.48/0.65      (![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[134, 127])).
% 0.48/0.65  tff(136,plain,
% 0.48/0.65      (((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) <=> ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(rewrite,[status(thm)],[])).
% 0.48/0.65  tff(137,plain,
% 0.48/0.65      ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | ((~rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(quant_inst,[status(thm)],[])).
% 0.48/0.65  tff(138,plain,
% 0.48/0.65      ((~![X: $i, Y: $i] : ((~rf(X, Y)) | rr(X, Y))) | (~rf(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)) | rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.48/0.65      inference(modus_ponens,[status(thm)],[137, 136])).
% 0.48/0.65  tff(139,plain,
% 0.48/0.65      (rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337)),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[138, 135, 125])).
% 0.48/0.65  tff(140,plain,
% 0.48/0.65      ((~(rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) | rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) | (~rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(tautology,[status(thm)],[])).
% 0.48/0.65  tff(141,plain,
% 0.48/0.65      ((~(rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> rr(tptp_fun_Y_1(i2003_11_14_17_19_32337), i2003_11_14_17_19_32337))) | rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[140, 139])).
% 0.48/0.65  tff(142,plain,
% 0.48/0.65      (rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.65      inference(unit_resolution,[status(thm)],[141, 74])).
% 0.48/0.65  tff(143,plain,
% 0.48/0.65      (((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)) | ![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(144,plain,
% 0.48/0.66      (![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[143, 120])).
% 0.48/0.66  tff(145,plain,
% 0.48/0.66      (((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | ((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))) <=> ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.48/0.66      inference(rewrite,[status(thm)],[])).
% 0.48/0.66  tff(146,plain,
% 0.48/0.66      ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | ((~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.48/0.66      inference(quant_inst,[status(thm)],[])).
% 0.48/0.66  tff(147,plain,
% 0.48/0.66      ((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~rinvR(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.48/0.66      inference(modus_ponens,[status(thm)],[146, 145])).
% 0.48/0.66  tff(148,plain,
% 0.48/0.66      (~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[147, 144, 142])).
% 0.48/0.66  tff(149,plain,
% 0.48/0.66      (((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(150,plain,
% 0.48/0.66      (cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[149, 148])).
% 0.48/0.66  tff(151,plain,
% 0.48/0.66      ((~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) | (~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(152,plain,
% 0.48/0.66      ((~((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) | (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[151, 150])).
% 0.48/0.66  tff(153,plain,
% 0.48/0.66      (~((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[152, 65])).
% 0.48/0.66  tff(154,plain,
% 0.48/0.66      (((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(155,plain,
% 0.48/0.66      (rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[154, 153])).
% 0.48/0.66  tff(156,plain,
% 0.48/0.66      ((~![X: $i, Y: $i] : (rinvF(X, Y) <=> rf(Y, X))) | (rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.48/0.66      inference(quant_inst,[status(thm)],[])).
% 0.48/0.66  tff(157,plain,
% 0.48/0.66      (rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[156, 81])).
% 0.48/0.66  tff(158,plain,
% 0.48/0.66      (((~cd(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(159,plain,
% 0.48/0.66      (rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[158, 148])).
% 0.48/0.66  tff(160,plain,
% 0.48/0.66      ((~(rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(161,plain,
% 0.48/0.66      ((~(rinvF(tptp_fun_Y_1(i2003_11_14_17_19_32337), tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))) <=> rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[160, 159])).
% 0.48/0.66  tff(162,plain,
% 0.48/0.66      (rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[161, 157])).
% 0.48/0.66  tff(163,plain,
% 0.48/0.66      (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))) | ((~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.48/0.66      inference(rewrite,[status(thm)],[])).
% 0.48/0.66  tff(164,plain,
% 0.48/0.66      (((tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> ((~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.48/0.66      inference(rewrite,[status(thm)],[])).
% 0.48/0.66  tff(165,plain,
% 0.48/0.66      (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))) | ((tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))) | ((~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.48/0.66      inference(monotonicity,[status(thm)],[164])).
% 0.48/0.66  tff(166,plain,
% 0.48/0.66      (((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))) | ((tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.48/0.66      inference(transitivity,[status(thm)],[165, 163])).
% 0.48/0.66  tff(167,plain,
% 0.48/0.66      ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))) | ((tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.48/0.66      inference(quant_inst,[status(thm)],[])).
% 0.48/0.66  tff(168,plain,
% 0.48/0.66      ((~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y1)) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), Y0)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.48/0.66      inference(modus_ponens,[status(thm)],[167, 166])).
% 0.48/0.66  tff(169,plain,
% 0.48/0.66      (tptp_fun_Y_1(i2003_11_14_17_19_32337) = tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[168, 162, 155, 40])).
% 0.48/0.66  tff(170,plain,
% 0.48/0.66      (cd(tptp_fun_Y_1(i2003_11_14_17_19_32337)) <=> cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.48/0.66      inference(monotonicity,[status(thm)],[169])).
% 0.48/0.66  tff(171,plain,
% 0.48/0.66      (cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) <=> cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.66      inference(symmetry,[status(thm)],[170])).
% 0.48/0.66  tff(172,plain,
% 0.48/0.66      ((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) <=> (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337)))),
% 0.48/0.66      inference(monotonicity,[status(thm)],[171])).
% 0.48/0.66  tff(173,plain,
% 0.48/0.66      (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))) | (~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))) | (~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))))))),
% 0.48/0.66      inference(rewrite,[status(thm)],[])).
% 0.48/0.66  tff(174,plain,
% 0.48/0.66      ((~((~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) | (~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))))) <=> (~((~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))) | (~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))))),
% 0.48/0.66      inference(rewrite,[status(thm)],[])).
% 0.48/0.66  tff(175,plain,
% 0.48/0.66      (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) | (~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))) | (~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))))))),
% 0.48/0.66      inference(monotonicity,[status(thm)],[174])).
% 0.48/0.66  tff(176,plain,
% 0.48/0.66      (((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) | (~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y)))))))) <=> ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))) | (~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))))))),
% 0.48/0.66      inference(transitivity,[status(thm)],[175, 173])).
% 0.48/0.66  tff(177,plain,
% 0.48/0.66      ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))) | (~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y)))))))),
% 0.48/0.66      inference(quant_inst,[status(thm)],[])).
% 0.48/0.66  tff(178,plain,
% 0.48/0.66      ((~![X: $i] : (~((~((~cd(X)) | (~((~cc(X)) | (~rf(X, tptp_fun_Y_3(X))) | cc(tptp_fun_Y_3(X)))))) | (~(cd(X) | (~cc(X)) | ![Y: $i] : (cc(Y) | (~rf(X, Y)))))))) | (~((~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))) | (~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))))),
% 0.48/0.66      inference(modus_ponens,[status(thm)],[177, 176])).
% 0.48/0.66  tff(179,plain,
% 0.48/0.66      (~((~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))) | (~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[178, 56])).
% 0.48/0.66  tff(180,plain,
% 0.48/0.66      (((~(cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | ![Y: $i] : (cc(Y) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), Y))))) | (~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))))) | ((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(181,plain,
% 0.48/0.66      ((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[180, 179])).
% 0.48/0.66  tff(182,plain,
% 0.48/0.66      (((~cc(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))) | (~rf(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)), tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))) | (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(183,plain,
% 0.48/0.66      (~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[182, 153])).
% 0.48/0.66  tff(184,plain,
% 0.48/0.66      (((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))) | cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(185,plain,
% 0.48/0.66      ((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[184, 183])).
% 0.48/0.66  tff(186,plain,
% 0.48/0.66      ((~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) | (~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))))))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(187,plain,
% 0.48/0.66      ((~((~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~((~cc(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | cc(tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))) | (~rf(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))), tptp_fun_Y_3(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))))))) | (~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337)))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[186, 185])).
% 0.48/0.66  tff(188,plain,
% 0.48/0.66      (~cd(tptp_fun_Y_3(tptp_fun_Z_0(tptp_fun_Y_1(i2003_11_14_17_19_32337))))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[187, 181])).
% 0.48/0.66  tff(189,plain,
% 0.48/0.66      (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.66      inference(modus_ponens,[status(thm)],[188, 172])).
% 0.48/0.66  tff(190,plain,
% 0.48/0.66      (((~![Y: $i] : ((~rinvR(i2003_11_14_17_19_32337, Y)) | (~((~cd(tptp_fun_Z_0(Y))) | (~rinvF(Y, tptp_fun_Z_0(Y))))))) | (~cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))) | (~rinvF(i2003_11_14_17_19_32337, tptp_fun_Y_1(i2003_11_14_17_19_32337))) | cc(i2003_11_14_17_19_32337)) | cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.66      inference(tautology,[status(thm)],[])).
% 0.48/0.66  tff(191,plain,
% 0.48/0.66      (cd(tptp_fun_Y_1(i2003_11_14_17_19_32337))),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[190, 120])).
% 0.48/0.66  tff(192,plain,
% 0.48/0.66      ($false),
% 0.48/0.66      inference(unit_resolution,[status(thm)],[191, 189])).
% 0.48/0.66  % SZS output end Proof
% 0.48/0.66  % E exiting
%------------------------------------------------------------------------------