TSTP Solution File: BOO025-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : BOO025-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : n026.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 10:34:28 EDT 2023
% Result : Unsatisfiable 18.85s 7.75s
% Output : CNFRefutation 19.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 15
% Syntax : Number of formulae : 112 ( 105 unt; 7 typ; 0 def)
% Number of atoms : 105 ( 104 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 156 (; 156 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ pixley > multiply > add > #nlpp > inverse > n1 > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(pixley,type,
pixley: ( $i * $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(n1,type,
n1: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_31,axiom,
! [X] : ( add(X,inverse(X)) = n1 ),
file(unknown,unknown) ).
tff(f_27,axiom,
! [X,Y] : ( multiply(add(X,Y),Y) = Y ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X,Y] : ( pixley(X,X,Y) = Y ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X,Y,Z] : ( multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X,Y,Z] : ( pixley(X,Y,Z) = add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) ),
file(unknown,unknown) ).
tff(f_40,axiom,
! [X,Y] : ( pixley(X,Y,X) = X ),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X,Y] : ( pixley(X,Y,Y) = X ),
file(unknown,unknown) ).
tff(f_43,axiom,
multiply(b,inverse(b)) != multiply(a,inverse(a)),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_6] : ( add(X_6,inverse(X_6)) = n1 ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_82,plain,
! [X_23,Y_24] : ( multiply(add(X_23,Y_24),Y_24) = Y_24 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_91,plain,
! [X_6] : ( multiply(n1,inverse(X_6)) = inverse(X_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_82]) ).
tff(c_10,plain,
! [X_10,Y_11] : ( pixley(X_10,X_10,Y_11) = Y_11 ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_2,plain,
! [X_1,Y_2] : ( multiply(add(X_1,Y_2),Y_2) = Y_2 ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_4,plain,
! [Y_4,X_3,Z_5] : ( add(multiply(Y_4,X_3),multiply(Z_5,X_3)) = multiply(X_3,add(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_8,plain,
! [X_7,Y_8,Z_9] : ( add(multiply(X_7,inverse(Y_8)),add(multiply(X_7,Z_9),multiply(inverse(Y_8),Z_9))) = pixley(X_7,Y_8,Z_9) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_341,plain,
! [X_45,Y_46,Z_47] : ( add(multiply(X_45,inverse(Y_46)),multiply(Z_47,add(X_45,inverse(Y_46)))) = pixley(X_45,Y_46,Z_47) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8]) ).
tff(c_1574,plain,
! [Y_83,Z_84,X_85] : ( add(inverse(Y_83),multiply(Z_84,add(add(X_85,inverse(Y_83)),inverse(Y_83)))) = pixley(add(X_85,inverse(Y_83)),Y_83,Z_84) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_341]) ).
tff(c_1609,plain,
! [X_6,Z_84] : ( pixley(add(X_6,inverse(X_6)),X_6,Z_84) = add(inverse(X_6),multiply(Z_84,add(n1,inverse(X_6)))) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1574]) ).
tff(c_1613,plain,
! [X_6,Z_84] : ( add(inverse(X_6),multiply(Z_84,add(n1,inverse(X_6)))) = pixley(n1,X_6,Z_84) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1609]) ).
tff(c_383,plain,
! [X_6,Z_47] : ( add(multiply(X_6,inverse(X_6)),multiply(Z_47,n1)) = pixley(X_6,X_6,Z_47) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_341]) ).
tff(c_387,plain,
! [X_48,Z_49] : ( add(multiply(X_48,inverse(X_48)),multiply(Z_49,n1)) = Z_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_383]) ).
tff(c_412,plain,
! [Z_49] : ( add(inverse(n1),multiply(Z_49,n1)) = Z_49 ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_387]) ).
tff(c_419,plain,
! [Z_50] : ( add(inverse(n1),multiply(Z_50,n1)) = Z_50 ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_387]) ).
tff(c_447,plain,
! [X_51] : ( add(inverse(n1),n1) = add(X_51,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_419]) ).
tff(c_444,plain,
! [X_1] : ( add(inverse(n1),n1) = add(X_1,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_419]) ).
tff(c_528,plain,
! [X_54,X_53] : ( add(X_54,n1) = add(X_53,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_447,c_444]) ).
tff(c_103,plain,
! [Y_26,X_27,Z_28] : ( add(multiply(Y_26,X_27),multiply(Z_28,X_27)) = multiply(X_27,add(Y_26,Z_28)) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_121,plain,
! [Y_2,X_1,Z_28] : ( multiply(Y_2,add(add(X_1,Y_2),Z_28)) = add(Y_2,multiply(Z_28,Y_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_103]) ).
tff(c_566,plain,
! [Y_2,X_53] : ( multiply(Y_2,add(X_53,n1)) = add(Y_2,multiply(n1,Y_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_528,c_121]) ).
tff(c_118,plain,
! [Y_26,X_6] : ( add(multiply(Y_26,inverse(X_6)),inverse(X_6)) = multiply(inverse(X_6),add(Y_26,n1)) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_103]) ).
tff(c_405,plain,
! [Z_49] : ( multiply(Z_49,multiply(Z_49,n1)) = multiply(Z_49,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_387,c_2]) ).
tff(c_14,plain,
! [X_14,Y_15] : ( pixley(X_14,Y_15,X_14) = X_14 ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_127,plain,
! [X_29,Y_30,Z_31] : ( multiply(multiply(X_29,add(Y_30,Z_31)),multiply(Z_31,X_29)) = multiply(Z_31,X_29) ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_2]) ).
tff(c_867,plain,
! [X_63,X_64] : ( multiply(multiply(X_63,n1),multiply(inverse(X_64),X_63)) = multiply(inverse(X_64),X_63) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_127]) ).
tff(c_894,plain,
! [X_53,X_64] : ( multiply(multiply(add(X_53,n1),n1),add(inverse(X_64),multiply(n1,inverse(X_64)))) = multiply(inverse(X_64),add(X_53,n1)) ),
inference(superposition,[status(thm),theory(equality)],[c_566,c_867]) ).
tff(c_2119,plain,
! [X_105,X_106] : ( multiply(n1,add(inverse(X_105),inverse(X_105))) = multiply(inverse(X_105),add(X_106,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_2,c_894]) ).
tff(c_600,plain,
! [Y_55,X_56] : ( multiply(Y_55,add(X_56,n1)) = add(Y_55,multiply(n1,Y_55)) ),
inference(superposition,[status(thm),theory(equality)],[c_528,c_121]) ).
tff(c_682,plain,
! [X_6,X_56] : ( multiply(inverse(X_6),add(X_56,n1)) = add(inverse(X_6),inverse(X_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_600]) ).
tff(c_2132,plain,
! [X_105] : ( multiply(n1,add(inverse(X_105),inverse(X_105))) = add(inverse(X_105),inverse(X_105)) ),
inference(superposition,[status(thm),theory(equality)],[c_2119,c_682]) ).
tff(c_2677,plain,
! [Z_114,Z_115] : ( add(multiply(Z_114,n1),multiply(Z_115,multiply(Z_114,n1))) = multiply(multiply(Z_114,n1),add(Z_114,Z_115)) ),
inference(superposition,[status(thm),theory(equality)],[c_387,c_121]) ).
tff(c_2727,plain,
! [Z_49] : ( multiply(multiply(Z_49,n1),add(Z_49,Z_49)) = add(multiply(Z_49,n1),multiply(Z_49,n1)) ),
inference(superposition,[status(thm),theory(equality)],[c_405,c_2677]) ).
tff(c_2755,plain,
! [Z_49] : ( multiply(multiply(Z_49,n1),add(Z_49,Z_49)) = multiply(n1,add(Z_49,Z_49)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2727]) ).
tff(c_2760,plain,
! [Z_116] : ( multiply(multiply(Z_116,n1),add(Z_116,Z_116)) = multiply(n1,add(Z_116,Z_116)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2727]) ).
tff(c_109,plain,
! [X_27,Y_26,Z_28] : ( multiply(multiply(X_27,add(Y_26,Z_28)),multiply(Z_28,X_27)) = multiply(Z_28,X_27) ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_2]) ).
tff(c_402,plain,
! [X_27,Z_49] : ( multiply(multiply(X_27,Z_49),multiply(multiply(Z_49,n1),X_27)) = multiply(multiply(Z_49,n1),X_27) ),
inference(superposition,[status(thm),theory(equality)],[c_387,c_109]) ).
tff(c_2769,plain,
! [Z_116] : ( multiply(multiply(add(Z_116,Z_116),Z_116),multiply(n1,add(Z_116,Z_116))) = multiply(multiply(Z_116,n1),add(Z_116,Z_116)) ),
inference(superposition,[status(thm),theory(equality)],[c_2760,c_402]) ).
tff(c_2864,plain,
! [Z_117] : ( multiply(Z_117,multiply(n1,add(Z_117,Z_117))) = multiply(n1,add(Z_117,Z_117)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2755,c_2,c_2769]) ).
tff(c_2904,plain,
! [X_105] : ( multiply(inverse(X_105),add(inverse(X_105),inverse(X_105))) = multiply(n1,add(inverse(X_105),inverse(X_105))) ),
inference(superposition,[status(thm),theory(equality)],[c_2132,c_2864]) ).
tff(c_3379,plain,
! [X_129] : ( multiply(inverse(X_129),add(inverse(X_129),inverse(X_129))) = add(inverse(X_129),inverse(X_129)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2132,c_2904]) ).
tff(c_17,plain,
! [X_7,Y_8,Z_9] : ( add(multiply(X_7,inverse(Y_8)),multiply(Z_9,add(X_7,inverse(Y_8)))) = pixley(X_7,Y_8,Z_9) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8]) ).
tff(c_3397,plain,
! [X_129] : ( add(multiply(inverse(X_129),inverse(X_129)),add(inverse(X_129),inverse(X_129))) = pixley(inverse(X_129),X_129,inverse(X_129)) ),
inference(superposition,[status(thm),theory(equality)],[c_3379,c_17]) ).
tff(c_3423,plain,
! [X_129] : ( add(multiply(inverse(X_129),inverse(X_129)),add(inverse(X_129),inverse(X_129))) = inverse(X_129) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_3397]) ).
tff(c_1182,plain,
! [X_72,Y_73,X_74] : ( pixley(X_72,Y_73,add(X_74,add(X_72,inverse(Y_73)))) = add(multiply(X_72,inverse(Y_73)),add(X_72,inverse(Y_73))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_341]) ).
tff(c_124,plain,
! [Y_2,Y_26,X_1] : ( multiply(Y_2,add(Y_26,add(X_1,Y_2))) = add(multiply(Y_26,Y_2),Y_2) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_103]) ).
tff(c_1200,plain,
! [Y_73,X_72,X_74] : ( multiply(inverse(Y_73),pixley(X_72,Y_73,add(X_74,add(X_72,inverse(Y_73))))) = add(multiply(multiply(X_72,inverse(Y_73)),inverse(Y_73)),inverse(Y_73)) ),
inference(superposition,[status(thm),theory(equality)],[c_1182,c_124]) ).
tff(c_19417,plain,
! [Y_292,X_293,X_294] : ( multiply(inverse(Y_292),pixley(X_293,Y_292,add(X_294,add(X_293,inverse(Y_292))))) = add(inverse(Y_292),inverse(Y_292)) ),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_566,c_118,c_1200]) ).
tff(c_19474,plain,
! [X_129] : ( multiply(inverse(X_129),pixley(inverse(X_129),X_129,inverse(X_129))) = add(inverse(X_129),inverse(X_129)) ),
inference(superposition,[status(thm),theory(equality)],[c_3423,c_19417]) ).
tff(c_19518,plain,
! [X_295] : ( multiply(inverse(X_295),inverse(X_295)) = add(inverse(X_295),inverse(X_295)) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_19474]) ).
tff(c_168,plain,
! [Y_32,X_33,Z_34] : ( multiply(Y_32,add(add(X_33,Y_32),Z_34)) = add(Y_32,multiply(Z_34,Y_32)) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_103]) ).
tff(c_235,plain,
! [Y_38,X_39] : ( add(Y_38,multiply(inverse(add(X_39,Y_38)),Y_38)) = multiply(Y_38,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_168]) ).
tff(c_269,plain,
! [X_6] : ( add(inverse(X_6),multiply(inverse(n1),inverse(X_6))) = multiply(inverse(X_6),n1) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_235]) ).
tff(c_19567,plain,
add(inverse(n1),add(inverse(n1),inverse(n1))) = multiply(inverse(n1),n1),
inference(superposition,[status(thm),theory(equality)],[c_19518,c_269]) ).
tff(c_19683,plain,
add(multiply(inverse(n1),inverse(n1)),inverse(n1)) = multiply(inverse(n1),multiply(inverse(n1),n1)),
inference(superposition,[status(thm),theory(equality)],[c_19567,c_124]) ).
tff(c_19710,plain,
add(inverse(n1),inverse(n1)) = multiply(inverse(n1),n1),
inference(demodulation,[status(thm),theory(equality)],[c_91,c_566,c_118,c_405,c_19683]) ).
tff(c_19713,plain,
add(inverse(n1),multiply(inverse(n1),n1)) = multiply(inverse(n1),n1),
inference(demodulation,[status(thm),theory(equality)],[c_19710,c_19567]) ).
tff(c_19714,plain,
multiply(inverse(n1),n1) = inverse(n1),
inference(demodulation,[status(thm),theory(equality)],[c_412,c_19713]) ).
tff(c_20004,plain,
! [Z_5] : ( multiply(n1,add(inverse(n1),Z_5)) = add(inverse(n1),multiply(Z_5,n1)) ),
inference(superposition,[status(thm),theory(equality)],[c_19714,c_4]) ).
tff(c_21000,plain,
! [Z_300] : ( multiply(n1,add(inverse(n1),Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_412,c_20004]) ).
tff(c_21147,plain,
! [Z_84] : ( multiply(Z_84,add(n1,inverse(n1))) = multiply(n1,pixley(n1,n1,Z_84)) ),
inference(superposition,[status(thm),theory(equality)],[c_1613,c_21000]) ).
tff(c_23632,plain,
! [Z_311] : ( multiply(n1,Z_311) = multiply(Z_311,n1) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_10,c_21147]) ).
tff(c_26018,plain,
! [Z_335] : ( add(inverse(n1),multiply(n1,Z_335)) = Z_335 ),
inference(superposition,[status(thm),theory(equality)],[c_23632,c_412]) ).
tff(c_26207,plain,
! [X_6] : ( add(inverse(n1),inverse(X_6)) = inverse(X_6) ),
inference(superposition,[status(thm),theory(equality)],[c_91,c_26018]) ).
tff(c_12,plain,
! [X_12,Y_13] : ( pixley(X_12,Y_13,Y_13) = X_12 ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_691,plain,
! [X_57,Y_58,Z_59] : ( multiply(pixley(X_57,Y_58,Z_59),multiply(Z_59,add(X_57,inverse(Y_58)))) = multiply(Z_59,add(X_57,inverse(Y_58))) ),
inference(superposition,[status(thm),theory(equality)],[c_341,c_2]) ).
tff(c_717,plain,
! [X_12,Y_13] : ( multiply(X_12,multiply(Y_13,add(X_12,inverse(Y_13)))) = multiply(Y_13,add(X_12,inverse(Y_13))) ),
inference(superposition,[status(thm),theory(equality)],[c_12,c_691]) ).
tff(c_19916,plain,
add(inverse(n1),inverse(n1)) = inverse(n1),
inference(demodulation,[status(thm),theory(equality)],[c_19714,c_19710]) ).
tff(c_603,plain,
! [Y_55,X_56,X_53] : ( multiply(Y_55,add(X_56,n1)) = multiply(Y_55,add(X_53,n1)) ),
inference(superposition,[status(thm),theory(equality)],[c_600,c_566]) ).
tff(c_21082,plain,
! [X_53] : ( multiply(n1,add(X_53,n1)) = n1 ),
inference(superposition,[status(thm),theory(equality)],[c_21000,c_603]) ).
tff(c_21540,plain,
! [X_301] : ( multiply(n1,add(X_301,n1)) = n1 ),
inference(superposition,[status(thm),theory(equality)],[c_21000,c_603]) ).
tff(c_2843,plain,
! [Z_116] : ( multiply(Z_116,multiply(n1,add(Z_116,Z_116))) = multiply(n1,add(Z_116,Z_116)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2755,c_2,c_2769]) ).
tff(c_21599,plain,
multiply(n1,add(n1,n1)) = multiply(n1,n1),
inference(superposition,[status(thm),theory(equality)],[c_21540,c_2843]) ).
tff(c_21702,plain,
multiply(n1,n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_21082,c_21599]) ).
tff(c_21198,plain,
inverse(inverse(n1)) = multiply(n1,n1),
inference(superposition,[status(thm),theory(equality)],[c_6,c_21000]) ).
tff(c_21721,plain,
inverse(inverse(n1)) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_21702,c_21198]) ).
tff(c_22015,plain,
! [X_12] : ( multiply(inverse(n1),add(X_12,inverse(inverse(n1)))) = multiply(X_12,multiply(inverse(n1),add(X_12,n1))) ),
inference(superposition,[status(thm),theory(equality)],[c_21721,c_717]) ).
tff(c_22146,plain,
! [X_12] : ( multiply(X_12,inverse(n1)) = inverse(n1) ),
inference(demodulation,[status(thm),theory(equality)],[c_19916,c_682,c_21721,c_19916,c_682,c_22015]) ).
tff(c_20034,plain,
! [Z_5] : ( multiply(n1,add(inverse(n1),Z_5)) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_412,c_20004]) ).
tff(c_21224,plain,
! [Z_84] : ( multiply(n1,Z_84) = multiply(Z_84,n1) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_10,c_21147]) ).
tff(c_450,plain,
! [X_51,X_1] : ( add(X_51,n1) = add(X_1,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_447,c_444]) ).
tff(c_667,plain,
! [X_56] : ( multiply(multiply(n1,n1),add(X_56,n1)) = add(multiply(n1,n1),multiply(n1,n1)) ),
inference(superposition,[status(thm),theory(equality)],[c_405,c_600]) ).
tff(c_689,plain,
! [X_56] : ( multiply(multiply(n1,n1),add(X_56,n1)) = add(n1,multiply(n1,n1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_566,c_4,c_667]) ).
tff(c_21749,plain,
! [X_56] : ( multiply(n1,add(X_56,n1)) = add(n1,n1) ),
inference(demodulation,[status(thm),theory(equality)],[c_21702,c_21702,c_689]) ).
tff(c_21758,plain,
add(n1,n1) = n1,
inference(demodulation,[status(thm),theory(equality)],[c_21082,c_21749]) ).
tff(c_22337,plain,
! [X_1] : ( add(X_1,n1) = n1 ),
inference(superposition,[status(thm),theory(equality)],[c_450,c_21758]) ).
tff(c_27476,plain,
! [Z_348,Z_349] : ( add(multiply(Z_348,n1),multiply(Z_349,Z_348)) = multiply(Z_348,add(n1,Z_349)) ),
inference(superposition,[status(thm),theory(equality)],[c_23632,c_4]) ).
tff(c_27665,plain,
! [Z_5] : ( multiply(add(inverse(n1),Z_5),add(n1,n1)) = add(multiply(add(inverse(n1),Z_5),n1),Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_20034,c_27476]) ).
tff(c_27815,plain,
! [Z_5] : ( add(Z_5,Z_5) = Z_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_20034,c_21224,c_20034,c_21224,c_22337,c_27665]) ).
tff(c_27859,plain,
! [Z_350] : ( add(Z_350,Z_350) = Z_350 ),
inference(demodulation,[status(thm),theory(equality)],[c_20034,c_21224,c_20034,c_21224,c_22337,c_27665]) ).
tff(c_28130,plain,
! [X_3,Y_4] : ( multiply(X_3,add(Y_4,Y_4)) = multiply(Y_4,X_3) ),
inference(superposition,[status(thm),theory(equality)],[c_27859,c_4]) ).
tff(c_28845,plain,
! [Y_354,X_355] : ( multiply(Y_354,X_355) = multiply(X_355,Y_354) ),
inference(demodulation,[status(thm),theory(equality)],[c_27815,c_28130]) ).
tff(c_29818,plain,
! [X_360] : ( multiply(inverse(n1),X_360) = inverse(n1) ),
inference(superposition,[status(thm),theory(equality)],[c_22146,c_28845]) ).
tff(c_30119,plain,
! [Y_13] : ( multiply(Y_13,add(inverse(n1),inverse(Y_13))) = inverse(n1) ),
inference(superposition,[status(thm),theory(equality)],[c_717,c_29818]) ).
tff(c_30197,plain,
! [Y_13] : ( multiply(Y_13,inverse(Y_13)) = inverse(n1) ),
inference(demodulation,[status(thm),theory(equality)],[c_26207,c_30119]) ).
tff(c_16,plain,
multiply(b,inverse(b)) != multiply(a,inverse(a)),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_30373,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30197,c_30197,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO025-1 : TPTP v8.1.2. Released v2.2.0.
% 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 : n026.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 Aug 3 18:47:46 EDT 2023
% 0.14/0.35 % CPUTime :
% 18.85/7.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.85/7.76
% 18.85/7.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.20/7.80
% 19.20/7.80 Inference rules
% 19.20/7.80 ----------------------
% 19.20/7.80 #Ref : 0
% 19.20/7.80 #Sup : 8284
% 19.20/7.80 #Fact : 0
% 19.20/7.80 #Define : 0
% 19.20/7.80 #Split : 0
% 19.20/7.80 #Chain : 0
% 19.20/7.80 #Close : 0
% 19.20/7.80
% 19.20/7.80 Ordering : KBO
% 19.20/7.80
% 19.20/7.80 Simplification rules
% 19.20/7.80 ----------------------
% 19.20/7.80 #Subsume : 907
% 19.20/7.80 #Demod : 10074
% 19.20/7.80 #Tautology : 2306
% 19.20/7.80 #SimpNegUnit : 0
% 19.20/7.80 #BackRed : 82
% 19.20/7.80
% 19.20/7.80 #Partial instantiations: 0
% 19.20/7.80 #Strategies tried : 1
% 19.20/7.80
% 19.20/7.80 Timing (in seconds)
% 19.20/7.80 ----------------------
% 19.20/7.81 Preprocessing : 0.44
% 19.20/7.81 Parsing : 0.23
% 19.20/7.81 CNF conversion : 0.02
% 19.20/7.81 Main loop : 6.19
% 19.20/7.81 Inferencing : 1.19
% 19.20/7.81 Reduction : 3.85
% 19.20/7.81 Demodulation : 3.57
% 19.20/7.81 BG Simplification : 0.16
% 19.20/7.81 Subsumption : 0.71
% 19.20/7.81 Abstraction : 0.32
% 19.20/7.81 MUC search : 0.00
% 19.20/7.81 Cooper : 0.00
% 19.20/7.81 Total : 6.71
% 19.20/7.81 Index Insertion : 0.00
% 19.20/7.81 Index Deletion : 0.00
% 19.20/7.81 Index Matching : 0.00
% 19.20/7.81 BG Taut test : 0.00
%------------------------------------------------------------------------------