TSTP Solution File: LCL026-10 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LCL026-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:47:12 EDT 2023
% Result : Unsatisfiable 189.10s 174.41s
% Output : CNFRefutation 189.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 83 ( 76 unt; 7 typ; 0 def)
% Number of atoms : 76 ( 75 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 3 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 182 (; 182 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ ifeq > implies > #nlpp > is_a_theorem > true > falsehood > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(is_a_theorem,type,
is_a_theorem: $i > $i ).
tff(a,type,
a: $i ).
tff(falsehood,type,
falsehood: $i ).
tff(b,type,
b: $i ).
tff(true,type,
true: $i ).
tff(implies,type,
implies: ( $i * $i ) > $i ).
tff(ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(f_24,axiom,
! [A,B,C] : ( ifeq(A,A,B,C) = B ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [X] : ( is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)) = true ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [X,Y] : ( is_a_theorem(implies(X,implies(Y,X))) = true ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X,Y] : ( ifeq(is_a_theorem(implies(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true ),
file(unknown,unknown) ).
tff(f_32,axiom,
! [X,Y,Z] : ( is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) = true ),
file(unknown,unknown) ).
tff(f_34,axiom,
is_a_theorem(implies(implies(implies(a,b),a),a)) != true,
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( ifeq(A_1,A_1,B_2,C_3) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_8,plain,
! [X_8] : ( is_a_theorem(implies(implies(implies(X_8,falsehood),falsehood),X_8)) = true ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_6,plain,
! [X_6,Y_7] : ( is_a_theorem(implies(X_6,implies(Y_7,X_6))) = true ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_43,plain,
! [X_21,Y_22] : ( ifeq(is_a_theorem(implies(X_21,Y_22)),true,ifeq(is_a_theorem(X_21),true,is_a_theorem(Y_22),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_80,plain,
! [X_23,Y_24] : ( ifeq(true,true,ifeq(is_a_theorem(X_23),true,is_a_theorem(implies(Y_24,X_23)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_43]) ).
tff(c_96,plain,
! [Y_24,X_8] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(Y_24,implies(implies(implies(X_8,falsehood),falsehood),X_8))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_80]) ).
tff(c_112,plain,
! [Y_24,X_8] : ( is_a_theorem(implies(Y_24,implies(implies(implies(X_8,falsehood),falsehood),X_8))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_96]) ).
tff(c_10,plain,
! [X_9,Y_10,Z_11] : ( is_a_theorem(implies(implies(X_9,implies(Y_10,Z_11)),implies(implies(X_9,Y_10),implies(X_9,Z_11)))) = true ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_2805,plain,
! [X_115,Y_116,Z_117] : ( ifeq(true,true,ifeq(is_a_theorem(implies(X_115,implies(Y_116,Z_117))),true,is_a_theorem(implies(implies(X_115,Y_116),implies(X_115,Z_117))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_43]) ).
tff(c_2885,plain,
! [Y_24,X_8] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(Y_24,implies(implies(X_8,falsehood),falsehood)),implies(Y_24,X_8))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_112,c_2805]) ).
tff(c_2944,plain,
! [Y_118,X_119] : ( is_a_theorem(implies(implies(Y_118,implies(implies(X_119,falsehood),falsehood)),implies(Y_118,X_119))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2885]) ).
tff(c_71,plain,
! [X_6,Y_7,Y_22] : ( ifeq(is_a_theorem(implies(implies(X_6,implies(Y_7,X_6)),Y_22)),true,ifeq(true,true,is_a_theorem(Y_22),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_43]) ).
tff(c_79,plain,
! [X_6,Y_7,Y_22] : ( ifeq(is_a_theorem(implies(implies(X_6,implies(Y_7,X_6)),Y_22)),true,is_a_theorem(Y_22),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_71]) ).
tff(c_3085,plain,
! [X_120] : ( ifeq(true,true,is_a_theorem(implies(falsehood,X_120)),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2944,c_79]) ).
tff(c_3144,plain,
! [X_121] : ( is_a_theorem(implies(falsehood,X_121)) = true ),
inference(superposition,[status(thm),theory(equality)],[c_3085,c_2]) ).
tff(c_108,plain,
! [X_23,Y_24] : ( ifeq(is_a_theorem(X_23),true,is_a_theorem(implies(Y_24,X_23)),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_80]) ).
tff(c_3496,plain,
! [Y_124,X_125] : ( ifeq(true,true,is_a_theorem(implies(Y_124,implies(falsehood,X_125))),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_3144,c_108]) ).
tff(c_3575,plain,
! [Y_126,X_127] : ( is_a_theorem(implies(Y_126,implies(falsehood,X_127))) = true ),
inference(superposition,[status(thm),theory(equality)],[c_3496,c_2]) ).
tff(c_50,plain,
! [X_9,Y_10,Z_11] : ( ifeq(true,true,ifeq(is_a_theorem(implies(X_9,implies(Y_10,Z_11))),true,is_a_theorem(implies(implies(X_9,Y_10),implies(X_9,Z_11))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_43]) ).
tff(c_3586,plain,
! [Y_126,X_127] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(Y_126,falsehood),implies(Y_126,X_127))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_3575,c_50]) ).
tff(c_3800,plain,
! [Y_128,X_129] : ( is_a_theorem(implies(implies(Y_128,falsehood),implies(Y_128,X_129))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_3586]) ).
tff(c_15549,plain,
! [Y_263,Y_264,X_265] : ( ifeq(true,true,is_a_theorem(implies(Y_263,implies(implies(Y_264,falsehood),implies(Y_264,X_265)))),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_3800,c_108]) ).
tff(c_15554,plain,
! [Y_263,Y_264,X_265] : ( is_a_theorem(implies(Y_263,implies(implies(Y_264,falsehood),implies(Y_264,X_265)))) = true ),
inference(superposition,[status(thm),theory(equality)],[c_15549,c_2]) ).
tff(c_2899,plain,
! [X_9,Y_10,Z_11] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(implies(X_9,implies(Y_10,Z_11)),implies(X_9,Y_10)),implies(implies(X_9,implies(Y_10,Z_11)),implies(X_9,Z_11)))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_2805]) ).
tff(c_16181,plain,
! [X_269,Y_270,Z_271] : ( is_a_theorem(implies(implies(implies(X_269,implies(Y_270,Z_271)),implies(X_269,Y_270)),implies(implies(X_269,implies(Y_270,Z_271)),implies(X_269,Z_271)))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2899]) ).
tff(c_4,plain,
! [X_4,Y_5] : ( ifeq(is_a_theorem(implies(X_4,Y_5)),true,ifeq(is_a_theorem(X_4),true,is_a_theorem(Y_5),true),true) = true ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_70920,plain,
! [X_618,Y_619,Z_620] : ( ifeq(true,true,ifeq(is_a_theorem(implies(implies(X_618,implies(Y_619,Z_620)),implies(X_618,Y_619))),true,is_a_theorem(implies(implies(X_618,implies(Y_619,Z_620)),implies(X_618,Z_620))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_16181,c_4]) ).
tff(c_71138,plain,
! [Y_264,X_265,Z_620] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(implies(Y_264,falsehood),implies(implies(Y_264,X_265),Z_620)),implies(implies(Y_264,falsehood),Z_620))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_15554,c_70920]) ).
tff(c_71432,plain,
! [Y_264,X_265,Z_620] : ( is_a_theorem(implies(implies(implies(Y_264,falsehood),implies(implies(Y_264,X_265),Z_620)),implies(implies(Y_264,falsehood),Z_620))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_71138]) ).
tff(c_90,plain,
! [Y_24,X_9,Y_10,Z_11] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(Y_24,implies(implies(X_9,implies(Y_10,Z_11)),implies(implies(X_9,Y_10),implies(X_9,Z_11))))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_80]) ).
tff(c_6163,plain,
! [Y_158,X_159,Y_160,Z_161] : ( is_a_theorem(implies(Y_158,implies(implies(X_159,implies(Y_160,Z_161)),implies(implies(X_159,Y_160),implies(X_159,Z_161))))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_90]) ).
tff(c_6202,plain,
! [Y_158,X_159,Y_160,Z_161] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(Y_158,implies(X_159,implies(Y_160,Z_161))),implies(Y_158,implies(implies(X_159,Y_160),implies(X_159,Z_161))))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_6163,c_50]) ).
tff(c_23771,plain,
! [Y_337,X_338,Y_339,Z_340] : ( is_a_theorem(implies(implies(Y_337,implies(X_338,implies(Y_339,Z_340))),implies(Y_337,implies(implies(X_338,Y_339),implies(X_338,Z_340))))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_6202]) ).
tff(c_65649,plain,
! [Y_592,Z_593,X_594] : ( ifeq(true,true,is_a_theorem(implies(implies(Y_592,Z_593),implies(implies(X_594,Y_592),implies(X_594,Z_593)))),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_23771,c_79]) ).
tff(c_65839,plain,
! [Y_592,Z_593,X_594] : ( is_a_theorem(implies(implies(Y_592,Z_593),implies(implies(X_594,Y_592),implies(X_594,Z_593)))) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_65649]) ).
tff(c_342,plain,
! [X_37,Y_38,Y_39] : ( ifeq(is_a_theorem(implies(implies(X_37,implies(Y_38,X_37)),Y_39)),true,is_a_theorem(Y_39),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_71]) ).
tff(c_401,plain,
! [Z_40,Y_41] : ( ifeq(true,true,is_a_theorem(implies(implies(Z_40,Y_41),implies(Z_40,Z_40))),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_10,c_342]) ).
tff(c_420,plain,
! [Z_42,Y_43] : ( is_a_theorem(implies(implies(Z_42,Y_43),implies(Z_42,Z_42))) = true ),
inference(superposition,[status(thm),theory(equality)],[c_401,c_2]) ).
tff(c_466,plain,
! [Z_44] : ( ifeq(true,true,is_a_theorem(implies(Z_44,Z_44)),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_420,c_79]) ).
tff(c_471,plain,
! [Z_44] : ( is_a_theorem(implies(Z_44,Z_44)) = true ),
inference(superposition,[status(thm),theory(equality)],[c_466,c_2]) ).
tff(c_2871,plain,
! [Y_116,Z_117] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(implies(Y_116,Z_117),Y_116),implies(implies(Y_116,Z_117),Z_117))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_471,c_2805]) ).
tff(c_2932,plain,
! [Y_116,Z_117] : ( is_a_theorem(implies(implies(implies(Y_116,Z_117),Y_116),implies(implies(Y_116,Z_117),Z_117))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2871]) ).
tff(c_102420,plain,
! [Y_783,X_784] : ( ifeq(true,true,ifeq(is_a_theorem(implies(Y_783,implies(implies(X_784,falsehood),falsehood))),true,is_a_theorem(implies(Y_783,X_784)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2944,c_4]) ).
tff(c_102919,plain,
! [Y_116] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(implies(Y_116,falsehood),Y_116),Y_116)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2932,c_102420]) ).
tff(c_103203,plain,
! [Y_785] : ( is_a_theorem(implies(implies(implies(Y_785,falsehood),Y_785),Y_785)) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_102919]) ).
tff(c_103587,plain,
! [Y_785,Y_5] : ( ifeq(is_a_theorem(implies(implies(implies(implies(Y_785,falsehood),Y_785),Y_785),Y_5)),true,ifeq(true,true,is_a_theorem(Y_5),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_103203,c_4]) ).
tff(c_120937,plain,
! [Y_836,Y_837] : ( ifeq(is_a_theorem(implies(implies(implies(implies(Y_836,falsehood),Y_836),Y_836),Y_837)),true,is_a_theorem(Y_837),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_103587]) ).
tff(c_128089,plain,
! [X_850,Z_851] : ( ifeq(true,true,is_a_theorem(implies(implies(X_850,implies(implies(Z_851,falsehood),Z_851)),implies(X_850,Z_851))),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_65839,c_120937]) ).
tff(c_128392,plain,
! [X_852,Z_853] : ( is_a_theorem(implies(implies(X_852,implies(implies(Z_853,falsehood),Z_853)),implies(X_852,Z_853))) = true ),
inference(superposition,[status(thm),theory(equality)],[c_128089,c_2]) ).
tff(c_1496024,plain,
! [X_3124,Z_3125] : ( ifeq(true,true,ifeq(is_a_theorem(implies(X_3124,implies(implies(Z_3125,falsehood),Z_3125))),true,is_a_theorem(implies(X_3124,Z_3125)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_128392,c_4]) ).
tff(c_1496636,plain,
! [Z_620,X_265] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(implies(Z_620,falsehood),implies(implies(Z_620,X_265),Z_620)),Z_620)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_71432,c_1496024]) ).
tff(c_1506330,plain,
! [Z_3131,X_3132] : ( is_a_theorem(implies(implies(implies(Z_3131,falsehood),implies(implies(Z_3131,X_3132),Z_3131)),Z_3131)) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_1496636]) ).
tff(c_102,plain,
! [Y_24,X_6,Y_7] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(Y_24,implies(X_6,implies(Y_7,X_6)))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_80]) ).
tff(c_114,plain,
! [Y_25,X_26,Y_27] : ( is_a_theorem(implies(Y_25,implies(X_26,implies(Y_27,X_26)))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_102]) ).
tff(c_128,plain,
! [Y_25,X_26,Y_27,Y_5] : ( ifeq(is_a_theorem(implies(implies(Y_25,implies(X_26,implies(Y_27,X_26))),Y_5)),true,ifeq(true,true,is_a_theorem(Y_5),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_4]) ).
tff(c_156,plain,
! [Y_25,X_26,Y_27,Y_5] : ( ifeq(is_a_theorem(implies(implies(Y_25,implies(X_26,implies(Y_27,X_26))),Y_5)),true,is_a_theorem(Y_5),true) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_128]) ).
tff(c_64852,plain,
! [X_586,Y_587,Z_588] : ( ifeq(true,true,is_a_theorem(implies(implies(X_586,implies(implies(Y_587,X_586),Z_588)),implies(X_586,Z_588))),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_16181,c_156]) ).
tff(c_64866,plain,
! [X_586,Y_587,Z_588] : ( is_a_theorem(implies(implies(X_586,implies(implies(Y_587,X_586),Z_588)),implies(X_586,Z_588))) = true ),
inference(superposition,[status(thm),theory(equality)],[c_64852,c_2]) ).
tff(c_66354,plain,
! [Y_597,Z_598,X_599] : ( is_a_theorem(implies(implies(Y_597,Z_598),implies(implies(X_599,Y_597),implies(X_599,Z_598)))) = true ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_65649]) ).
tff(c_396628,plain,
! [Y_1527,Z_1528,X_1529] : ( ifeq(true,true,ifeq(is_a_theorem(implies(Y_1527,Z_1528)),true,is_a_theorem(implies(implies(X_1529,Y_1527),implies(X_1529,Z_1528))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_66354,c_4]) ).
tff(c_397918,plain,
! [X_1529,X_586,Y_587,Z_588] : ( ifeq(true,true,ifeq(true,true,is_a_theorem(implies(implies(X_1529,implies(X_586,implies(implies(Y_587,X_586),Z_588))),implies(X_1529,implies(X_586,Z_588)))),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_64866,c_396628]) ).
tff(c_685125,plain,
! [X_2020,X_2021,Y_2022,Z_2023] : ( is_a_theorem(implies(implies(X_2020,implies(X_2021,implies(implies(Y_2022,X_2021),Z_2023))),implies(X_2020,implies(X_2021,Z_2023)))) = true ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_397918]) ).
tff(c_686646,plain,
! [Y_2024,X_2025,Z_2026] : ( ifeq(true,true,is_a_theorem(implies(implies(implies(Y_2024,X_2025),Z_2026),implies(X_2025,Z_2026))),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_685125,c_79]) ).
tff(c_687581,plain,
! [Y_2027,X_2028,Z_2029] : ( is_a_theorem(implies(implies(implies(Y_2027,X_2028),Z_2029),implies(X_2028,Z_2029))) = true ),
inference(superposition,[status(thm),theory(equality)],[c_686646,c_2]) ).
tff(c_721805,plain,
! [Y_2087,X_2088,Z_2089] : ( ifeq(true,true,ifeq(is_a_theorem(implies(implies(Y_2087,X_2088),Z_2089)),true,is_a_theorem(implies(X_2088,Z_2089)),true),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_687581,c_4]) ).
tff(c_721810,plain,
! [Y_2087,X_2088,Z_2089] : ( ifeq(is_a_theorem(implies(implies(Y_2087,X_2088),Z_2089)),true,is_a_theorem(implies(X_2088,Z_2089)),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_721805,c_2]) ).
tff(c_1527815,plain,
! [Z_3148,X_3149] : ( ifeq(true,true,is_a_theorem(implies(implies(implies(Z_3148,X_3149),Z_3148),Z_3148)),true) = true ),
inference(superposition,[status(thm),theory(equality)],[c_1506330,c_721810]) ).
tff(c_1527829,plain,
! [Z_3148,X_3149] : ( is_a_theorem(implies(implies(implies(Z_3148,X_3149),Z_3148),Z_3148)) = true ),
inference(superposition,[status(thm),theory(equality)],[c_1527815,c_2]) ).
tff(c_12,plain,
is_a_theorem(implies(implies(implies(a,b),a),a)) != true,
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_1529076,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1527829,c_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL026-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n010.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 14:01:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 189.10/174.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 189.10/174.42
% 189.10/174.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 189.10/174.47
% 189.10/174.47 Inference rules
% 189.10/174.47 ----------------------
% 189.10/174.47 #Ref : 0
% 189.10/174.47 #Sup : 379401
% 189.10/174.47 #Fact : 0
% 189.10/174.47 #Define : 0
% 189.10/174.47 #Split : 0
% 189.10/174.47 #Chain : 0
% 189.10/174.47 #Close : 0
% 189.10/174.47
% 189.10/174.47 Ordering : KBO
% 189.10/174.47
% 189.10/174.47 Simplification rules
% 189.10/174.47 ----------------------
% 189.10/174.47 #Subsume : 0
% 189.10/174.47 #Demod : 164473
% 189.10/174.47 #Tautology : 356673
% 189.10/174.47 #SimpNegUnit : 0
% 189.10/174.47 #BackRed : 155
% 189.10/174.47
% 189.10/174.47 #Partial instantiations: 0
% 189.10/174.47 #Strategies tried : 1
% 189.10/174.47
% 189.10/174.47 Timing (in seconds)
% 189.10/174.47 ----------------------
% 189.10/174.47 Preprocessing : 0.42
% 189.10/174.47 Parsing : 0.22
% 189.10/174.47 CNF conversion : 0.02
% 189.10/174.47 Main loop : 172.91
% 189.10/174.47 Inferencing : 11.75
% 189.10/174.47 Reduction : 110.92
% 189.10/174.47 Demodulation : 98.90
% 189.10/174.47 BG Simplification : 0.34
% 189.10/174.47 Subsumption : 46.50
% 189.10/174.47 Abstraction : 0.60
% 189.10/174.47 MUC search : 0.00
% 189.10/174.47 Cooper : 0.00
% 189.10/174.47 Total : 173.40
% 189.10/174.47 Index Insertion : 0.00
% 189.10/174.47 Index Deletion : 0.00
% 189.10/174.47 Index Matching : 0.00
% 189.10/174.47 BG Taut test : 0.00
%------------------------------------------------------------------------------