%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP571-1 : TPTP v9.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n019.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 : Wed Apr 9 06:26:32 PM UTC 2025
% Result : Unsatisfiable 25.54s 13.26s
% Output : CNFRefutation 25.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 93 ( 93 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 174 ( 174 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(identity,type,
identity: $i ).
tff(f_27,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(B_2,double_divide(A_1,C_3)),double_divide(C_3,identity))),double_divide(identity,identity)) = B_2 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_236,plain,
! [A_21,B_22,C_23] : ( double_divide(double_divide(A_21,double_divide(double_divide(B_22,double_divide(A_21,C_23)),inverse(C_23))),inverse(identity)) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_427,plain,
! [A_29,B_30] : ( double_divide(double_divide(A_29,double_divide(double_divide(B_30,inverse(A_29)),inverse(identity))),inverse(identity)) = B_30 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_469,plain,
! [A_7] : ( double_divide(double_divide(A_7,double_divide(identity,inverse(identity))),inverse(identity)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_427]) ).
tff(c_474,plain,
! [A_7] : ( double_divide(inverse(A_7),inverse(identity)) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_8,c_469]) ).
tff(c_28,plain,
! [B_10,A_11] : ( double_divide(double_divide(B_10,A_11),identity) = multiply(A_11,B_10) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_65,plain,
! [B_13,A_14] : ( inverse(double_divide(B_13,A_14)) = multiply(A_14,B_13) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_83,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_475,plain,
! [A_31] : ( double_divide(inverse(A_31),inverse(identity)) = A_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_8,c_469]) ).
tff(c_541,plain,
! [A_33] : ( double_divide(multiply(identity,A_33),inverse(identity)) = inverse(A_33) ),
inference(superposition,[status(thm),theory(equality)],[c_83,c_475]) ).
tff(c_278,plain,
! [A_6,B_22] : ( double_divide(double_divide(A_6,double_divide(double_divide(B_22,inverse(A_6)),inverse(identity))),inverse(identity)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_236]) ).
tff(c_547,plain,
! [A_33] : ( double_divide(double_divide(identity,double_divide(inverse(A_33),inverse(identity))),inverse(identity)) = multiply(identity,A_33) ),
inference(superposition,[status(thm),theory(equality)],[c_541,c_278]) ).
tff(c_969,plain,
! [A_46] : ( double_divide(double_divide(identity,A_46),inverse(identity)) = multiply(identity,A_46) ),
inference(demodulation,[status(thm),theory(equality)],[c_474,c_547]) ).
tff(c_1045,plain,
double_divide(inverse(identity),inverse(identity)) = multiply(identity,identity),
inference(superposition,[status(thm),theory(equality)],[c_6,c_969]) ).
tff(c_1061,plain,
multiply(identity,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_474,c_1045]) ).
tff(c_52,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = double_divide(identity,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).
tff(c_57,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).
tff(c_37,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_586,plain,
! [A_34,B_35] : ( double_divide(multiply(A_34,B_35),inverse(identity)) = double_divide(B_35,A_34) ),
inference(superposition,[status(thm),theory(equality)],[c_37,c_475]) ).
tff(c_4,plain,
! [B_5,A_4] : ( double_divide(double_divide(B_5,A_4),identity) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_614,plain,
! [A_34,B_35] : ( multiply(inverse(identity),multiply(A_34,B_35)) = double_divide(double_divide(B_35,A_34),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_586,c_4]) ).
tff(c_644,plain,
! [A_34,B_35] : ( multiply(inverse(identity),multiply(A_34,B_35)) = multiply(A_34,B_35) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_614]) ).
tff(c_1069,plain,
multiply(inverse(identity),identity) = multiply(identity,identity),
inference(superposition,[status(thm),theory(equality)],[c_1061,c_644]) ).
tff(c_1091,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1061,c_57,c_1069]) ).
tff(c_1105,plain,
! [A_7] : ( double_divide(inverse(A_7),identity) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_1091,c_474]) ).
tff(c_46,plain,
! [A_6] : ( double_divide(inverse(A_6),identity) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_1189,plain,
! [A_6] : ( multiply(identity,A_6) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_1105,c_46]) ).
tff(c_837,plain,
! [B_43,A_44,B_45] : ( double_divide(double_divide(double_divide(B_43,A_44),double_divide(double_divide(B_45,multiply(A_44,B_43)),inverse(identity))),inverse(identity)) = B_45 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_236]) ).
tff(c_939,plain,
! [A_6,B_45] : ( double_divide(double_divide(inverse(A_6),double_divide(double_divide(B_45,multiply(identity,A_6)),inverse(identity))),inverse(identity)) = B_45 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_837]) ).
tff(c_1466,plain,
! [A_57,B_58] : ( multiply(multiply(A_57,B_58),inverse(A_57)) = B_58 ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_37,c_6,c_1091,c_37,c_6,c_1091,c_939]) ).
tff(c_1490,plain,
! [A_6] : ( multiply(A_6,inverse(identity)) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_1189,c_1466]) ).
tff(c_1503,plain,
! [A_6] : ( multiply(A_6,identity) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_1091,c_1490]) ).
tff(c_1270,plain,
! [A_6] : ( inverse(inverse(A_6)) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_83]) ).
tff(c_1465,plain,
! [A_6,B_45] : ( multiply(multiply(A_6,B_45),inverse(A_6)) = B_45 ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_37,c_6,c_1091,c_37,c_6,c_1091,c_939]) ).
tff(c_251,plain,
! [A_21,B_22,C_23] : ( multiply(inverse(identity),double_divide(A_21,double_divide(double_divide(B_22,double_divide(A_21,C_23)),inverse(C_23)))) = double_divide(B_22,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_4]) ).
tff(c_653,plain,
! [A_36,B_37,C_38] : ( multiply(inverse(identity),double_divide(A_36,double_divide(double_divide(B_37,double_divide(A_36,C_38)),inverse(C_38)))) = inverse(B_37) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_251]) ).
tff(c_701,plain,
! [B_5,A_4,B_37] : ( multiply(inverse(identity),double_divide(double_divide(B_5,A_4),double_divide(double_divide(B_37,multiply(A_4,B_5)),inverse(identity)))) = inverse(B_37) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_653]) ).
tff(c_1668,plain,
! [B_63,A_64,B_65] : ( double_divide(double_divide(B_63,A_64),multiply(multiply(A_64,B_63),B_65)) = inverse(B_65) ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_37,c_6,c_1091,c_1091,c_701]) ).
tff(c_1708,plain,
! [B_45,A_6] : ( double_divide(double_divide(B_45,A_6),B_45) = inverse(inverse(A_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_1465,c_1668]) ).
tff(c_1753,plain,
! [B_45,A_6] : ( double_divide(double_divide(B_45,A_6),B_45) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_1270,c_1708]) ).
tff(c_248,plain,
! [A_21,B_22,C_23] : ( multiply(inverse(identity),double_divide(A_21,double_divide(double_divide(B_22,double_divide(A_21,C_23)),inverse(C_23)))) = inverse(B_22) ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_37]) ).
tff(c_2207,plain,
! [A_77,B_78,C_79] : ( double_divide(A_77,double_divide(double_divide(B_78,double_divide(A_77,C_79)),inverse(C_79))) = inverse(B_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_1091,c_248]) ).
tff(c_2269,plain,
! [A_77,C_79] : ( double_divide(A_77,double_divide(A_77,C_79)) = inverse(inverse(C_79)) ),
inference(superposition,[status(thm),theory(equality)],[c_1753,c_2207]) ).
tff(c_2360,plain,
! [A_80,C_81] : ( double_divide(A_80,double_divide(A_80,C_81)) = C_81 ),
inference(demodulation,[status(thm),theory(equality)],[c_1270,c_2269]) ).
tff(c_2483,plain,
! [C_82,A_83] : ( double_divide(C_82,A_83) = double_divide(A_83,C_82) ),
inference(superposition,[status(thm),theory(equality)],[c_2360,c_1753]) ).
tff(c_3272,plain,
! [C_94,A_95] : ( double_divide(double_divide(C_94,A_95),identity) = multiply(C_94,A_95) ),
inference(superposition,[status(thm),theory(equality)],[c_2483,c_4]) ).
tff(c_281,plain,
! [A_7,B_22] : ( double_divide(double_divide(A_7,double_divide(double_divide(B_22,identity),inverse(inverse(A_7)))),inverse(identity)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_289,plain,
! [A_7,B_22] : ( double_divide(double_divide(A_7,double_divide(inverse(B_22),multiply(identity,A_7))),inverse(identity)) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_281]) ).
tff(c_1230,plain,
! [B_22,A_7] : ( multiply(double_divide(inverse(B_22),multiply(identity,A_7)),A_7) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_1091,c_289]) ).
tff(c_2069,plain,
! [B_73,A_74] : ( multiply(double_divide(inverse(B_73),A_74),A_74) = B_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_1230]) ).
tff(c_2109,plain,
! [A_6,A_74] : ( multiply(double_divide(A_6,A_74),A_74) = inverse(A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_1270,c_2069]) ).
tff(c_3281,plain,
! [C_94,A_95] : ( multiply(multiply(C_94,A_95),identity) = inverse(double_divide(C_94,A_95)) ),
inference(superposition,[status(thm),theory(equality)],[c_3272,c_2109]) ).
tff(c_3414,plain,
! [C_94,A_95] : ( multiply(C_94,A_95) = multiply(A_95,C_94) ),
inference(demodulation,[status(thm),theory(equality)],[c_1503,c_37,c_3281]) ).
tff(c_2572,plain,
! [C_82,A_83] : ( double_divide(double_divide(C_82,A_83),identity) = multiply(C_82,A_83) ),
inference(superposition,[status(thm),theory(equality)],[c_2483,c_4]) ).
tff(c_2379,plain,
! [C_81,A_80] : ( double_divide(C_81,A_80) = double_divide(A_80,C_81) ),
inference(superposition,[status(thm),theory(equality)],[c_2360,c_1753]) ).
tff(c_448,plain,
! [A_29,B_30] : ( multiply(inverse(identity),double_divide(A_29,double_divide(double_divide(B_30,inverse(A_29)),inverse(identity)))) = inverse(B_30) ),
inference(superposition,[status(thm),theory(equality)],[c_427,c_37]) ).
tff(c_1605,plain,
! [A_61,B_62] : ( double_divide(A_61,multiply(inverse(A_61),B_62)) = inverse(B_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_37,c_6,c_1091,c_1091,c_448]) ).
tff(c_707,plain,
! [A_7,B_37] : ( multiply(inverse(identity),double_divide(A_7,double_divide(double_divide(B_37,identity),inverse(inverse(A_7))))) = inverse(B_37) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_653]) ).
tff(c_720,plain,
! [A_7,B_37] : ( multiply(inverse(identity),double_divide(A_7,double_divide(inverse(B_37),multiply(identity,A_7)))) = inverse(B_37) ),
inference(demodulation,[status(thm),theory(equality)],[c_83,c_6,c_707]) ).
tff(c_1404,plain,
! [A_7,B_37] : ( double_divide(A_7,double_divide(inverse(B_37),A_7)) = inverse(B_37) ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_1189,c_1091,c_720]) ).
tff(c_1616,plain,
! [B_37,B_62] : ( double_divide(multiply(inverse(inverse(B_37)),B_62),inverse(B_62)) = inverse(B_37) ),
inference(superposition,[status(thm),theory(equality)],[c_1605,c_1404]) ).
tff(c_8902,plain,
! [B_152,B_153] : ( double_divide(multiply(B_152,B_153),inverse(B_153)) = inverse(B_152) ),
inference(demodulation,[status(thm),theory(equality)],[c_1270,c_1616]) ).
tff(c_9055,plain,
! [A_6,A_74] : ( double_divide(inverse(A_6),inverse(A_74)) = inverse(double_divide(A_6,A_74)) ),
inference(superposition,[status(thm),theory(equality)],[c_2109,c_8902]) ).
tff(c_9135,plain,
! [A_6,A_74] : ( double_divide(inverse(A_6),inverse(A_74)) = multiply(A_74,A_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_9055]) ).
tff(c_2206,plain,
! [A_21,B_22,C_23] : ( double_divide(A_21,double_divide(double_divide(B_22,double_divide(A_21,C_23)),inverse(C_23))) = inverse(B_22) ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_1091,c_248]) ).
tff(c_2213,plain,
! [B_78,A_77,C_79] : ( double_divide(double_divide(B_78,double_divide(A_77,C_79)),double_divide(inverse(B_78),inverse(inverse(C_79)))) = inverse(A_77) ),
inference(superposition,[status(thm),theory(equality)],[c_2207,c_2206]) ).
tff(c_68164,plain,
! [B_407,A_408,C_409] : ( double_divide(double_divide(B_407,double_divide(A_408,C_409)),double_divide(inverse(B_407),C_409)) = inverse(A_408) ),
inference(demodulation,[status(thm),theory(equality)],[c_1270,c_2213]) ).
tff(c_68742,plain,
! [B_407,A_74,A_6] : ( double_divide(double_divide(B_407,multiply(A_74,A_6)),double_divide(inverse(B_407),inverse(A_74))) = inverse(inverse(A_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_9135,c_68164]) ).
tff(c_69084,plain,
! [A_410,B_411,A_412] : ( double_divide(multiply(A_410,B_411),double_divide(B_411,multiply(A_410,A_412))) = A_412 ),
inference(demodulation,[status(thm),theory(equality)],[c_2379,c_9135,c_1270,c_68742]) ).
tff(c_78304,plain,
! [B_437,A_438,A_439] : ( double_divide(B_437,multiply(A_438,A_439)) = double_divide(A_439,multiply(A_438,B_437)) ),
inference(superposition,[status(thm),theory(equality)],[c_69084,c_1753]) ).
tff(c_79248,plain,
! [A_439,A_438,B_437] : ( double_divide(double_divide(A_439,multiply(A_438,B_437)),identity) = multiply(multiply(A_438,A_439),B_437) ),
inference(superposition,[status(thm),theory(equality)],[c_78304,c_4]) ).
tff(c_80076,plain,
! [A_438,A_439,B_437] : ( multiply(multiply(A_438,A_439),B_437) = multiply(A_439,multiply(A_438,B_437)) ),
inference(demodulation,[status(thm),theory(equality)],[c_2572,c_79248]) ).
tff(c_275,plain,
! [B_5,A_4,B_22] : ( double_divide(double_divide(double_divide(B_5,A_4),double_divide(double_divide(B_22,multiply(A_4,B_5)),inverse(identity))),inverse(identity)) = B_22 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_236]) ).
tff(c_1098,plain,
! [B_5,A_4,B_22] : ( double_divide(double_divide(double_divide(B_5,A_4),double_divide(double_divide(B_22,multiply(A_4,B_5)),identity)),identity) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_1091,c_1091,c_275]) ).
tff(c_17788,plain,
! [A_217,B_218,B_219] : ( multiply(multiply(multiply(A_217,B_218),B_219),double_divide(B_218,A_217)) = B_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_37,c_6,c_6,c_1098]) ).
tff(c_32921,plain,
! [C_300,A_301,B_302] : ( multiply(multiply(multiply(C_300,A_301),B_302),double_divide(C_300,A_301)) = B_302 ),
inference(superposition,[status(thm),theory(equality)],[c_2379,c_17788]) ).
tff(c_1604,plain,
! [A_29,B_30] : ( double_divide(A_29,multiply(inverse(A_29),B_30)) = inverse(B_30) ),
inference(demodulation,[status(thm),theory(equality)],[c_1189,c_37,c_6,c_1091,c_1091,c_448]) ).
tff(c_2099,plain,
! [B_30,B_73] : ( multiply(inverse(B_30),multiply(inverse(inverse(B_73)),B_30)) = B_73 ),
inference(superposition,[status(thm),theory(equality)],[c_1604,c_2069]) ).
tff(c_2134,plain,
! [B_30,B_73] : ( multiply(inverse(B_30),multiply(B_73,B_30)) = B_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_1270,c_2099]) ).
tff(c_33048,plain,
! [C_300,A_301,B_302] : ( multiply(inverse(double_divide(C_300,A_301)),B_302) = multiply(multiply(C_300,A_301),B_302) ),
inference(superposition,[status(thm),theory(equality)],[c_32921,c_2134]) ).
tff(c_33550,plain,
! [C_300,A_301,B_302] : ( multiply(multiply(C_300,A_301),B_302) = multiply(multiply(A_301,C_300),B_302) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_33048]) ).
tff(c_88476,plain,
! [C_300,A_301,B_302] : ( multiply(C_300,multiply(A_301,B_302)) = multiply(A_301,multiply(C_300,B_302)) ),
inference(demodulation,[status(thm),theory(equality)],[c_80076,c_80076,c_33550]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_3445,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_3414,c_10]) ).
tff(c_91570,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm),theory(equality)],[c_88476,c_3445]) ).
tff(c_91573,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3414,c_91570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP571-1 : TPTP v9.0.0. Released v2.6.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 7 21:56:17 EDT 2025
% 0.13/0.34 % CPUTime :
% 25.54/13.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.64/13.28
% 25.64/13.28 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------