TSTP Solution File: GRP080-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 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 : n014.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 10:39:47 EDT 2023
% Result : Unsatisfiable 8.75s 3.28s
% Output : CNFRefutation 9.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 104 ( 90 unt; 9 typ; 0 def)
% Number of atoms : 103 ( 100 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 16 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 141 (; 141 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b3 > a3 > a2 > a1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a1,type,
a1: $i ).
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(a2,type,
a2: $i ).
tff(identity,type,
identity: $i ).
tff(f_32,axiom,
! [X] : ( inverse(X) = double_divide(X,identity) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [X,Y] : ( multiply(X,Y) = double_divide(double_divide(Y,X),identity) ),
file(unknown,unknown) ).
tff(f_35,axiom,
! [X] : ( identity = double_divide(X,inverse(X)) ),
file(unknown,unknown) ).
tff(f_43,axiom,
( ( multiply(inverse(a1),a1) != identity )
| ( multiply(identity,a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X,Y,Z] : ( double_divide(double_divide(identity,double_divide(X,double_divide(Y,identity))),double_divide(double_divide(Y,double_divide(Z,X)),identity)) = Z ),
file(unknown,unknown) ).
tff(c_6,plain,
! [X_6] : ( double_divide(X_6,identity) = inverse(X_6) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_28,plain,
! [Y_10,X_11] : ( double_divide(double_divide(Y_10,X_11),identity) = multiply(X_11,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_156,plain,
! [X_19] : ( double_divide(inverse(X_19),identity) = multiply(identity,X_19) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_4,plain,
! [Y_5,X_4] : ( double_divide(double_divide(Y_5,X_4),identity) = multiply(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_168,plain,
! [X_19] : ( multiply(identity,inverse(X_19)) = double_divide(multiply(identity,X_19),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_156,c_4]) ).
tff(c_185,plain,
! [X_19] : ( multiply(identity,inverse(X_19)) = inverse(multiply(identity,X_19)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_168]) ).
tff(c_8,plain,
! [X_7] : ( double_divide(X_7,inverse(X_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_52,plain,
! [X_7] : ( multiply(inverse(X_7),X_7) = double_divide(identity,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).
tff(c_57,plain,
! [X_7] : ( multiply(inverse(X_7),X_7) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).
tff(c_10,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(identity,a2) != a2 )
| ( multiply(inverse(a1),a1) != identity ) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_191,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(identity,a2) != a2 )
| ( inverse(identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57,c_10]) ).
tff(c_192,plain,
inverse(identity) != identity,
inference(splitLeft,[status(thm)],[c_191]) ).
tff(c_65,plain,
! [Y_13,X_14] : ( inverse(double_divide(Y_13,X_14)) = multiply(X_14,Y_13) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_236,plain,
! [Y_22,X_23] : ( double_divide(double_divide(Y_22,X_23),multiply(X_23,Y_22)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_65,c_8]) ).
tff(c_2,plain,
! [X_1,Y_2,Z_3] : ( double_divide(double_divide(identity,double_divide(X_1,double_divide(Y_2,identity))),double_divide(double_divide(Y_2,double_divide(Z_3,X_1)),identity)) = Z_3 ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_11,plain,
! [X_1,Y_2,Z_3] : ( double_divide(double_divide(identity,double_divide(X_1,inverse(Y_2))),multiply(double_divide(Z_3,X_1),Y_2)) = Z_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2]) ).
tff(c_248,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_236,c_11]) ).
tff(c_290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_192,c_248]) ).
tff(c_292,plain,
inverse(identity) = identity,
inference(splitRight,[status(thm)],[c_191]) ).
tff(c_46,plain,
! [X_6] : ( double_divide(inverse(X_6),identity) = multiply(identity,X_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_297,plain,
multiply(identity,identity) = double_divide(identity,identity),
inference(superposition,[status(thm),theory(equality)],[c_292,c_46]) ).
tff(c_309,plain,
multiply(identity,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_292,c_6,c_297]) ).
tff(c_90,plain,
! [X_15,Y_16,Z_17] : ( double_divide(double_divide(identity,double_divide(X_15,inverse(Y_16))),multiply(double_divide(Z_17,X_15),Y_16)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_4,c_2]) ).
tff(c_1221,plain,
! [X_46,Y_47] : ( double_divide(double_divide(identity,double_divide(inverse(X_46),inverse(Y_47))),multiply(identity,Y_47)) = X_46 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_90]) ).
tff(c_1274,plain,
! [X_46] : ( double_divide(double_divide(identity,double_divide(inverse(X_46),identity)),multiply(identity,identity)) = X_46 ),
inference(superposition,[status(thm),theory(equality)],[c_292,c_1221]) ).
tff(c_1304,plain,
! [X_48] : ( multiply(multiply(identity,X_48),identity) = X_48 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_309,c_46,c_1274]) ).
tff(c_120,plain,
! [Z_17,X_7] : ( double_divide(double_divide(identity,identity),multiply(double_divide(Z_17,X_7),X_7)) = Z_17 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_90]) ).
tff(c_127,plain,
! [Z_17,X_7] : ( double_divide(inverse(identity),multiply(double_divide(Z_17,X_7),X_7)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_120]) ).
tff(c_648,plain,
! [Z_34,X_35] : ( double_divide(identity,multiply(double_divide(Z_34,X_35),X_35)) = Z_34 ),
inference(demodulation,[status(thm),theory(equality)],[c_292,c_127]) ).
tff(c_696,plain,
! [X_4,Y_5] : ( double_divide(identity,multiply(multiply(X_4,Y_5),identity)) = double_divide(Y_5,X_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_648]) ).
tff(c_1313,plain,
! [X_48] : ( double_divide(identity,X_48) = double_divide(X_48,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1304,c_696]) ).
tff(c_1349,plain,
! [X_49] : ( double_divide(identity,X_49) = inverse(X_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1313]) ).
tff(c_37,plain,
! [Y_10,X_11] : ( inverse(double_divide(Y_10,X_11)) = multiply(X_11,Y_10) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_1664,plain,
! [X_54] : ( inverse(inverse(X_54)) = multiply(X_54,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1349,c_37]) ).
tff(c_83,plain,
! [X_6] : ( inverse(inverse(X_6)) = multiply(identity,X_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_1709,plain,
! [X_54] : ( multiply(identity,X_54) = multiply(X_54,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1664,c_83]) ).
tff(c_702,plain,
! [X_7] : ( double_divide(identity,multiply(identity,inverse(X_7))) = X_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_648]) ).
tff(c_754,plain,
! [X_37] : ( double_divide(identity,inverse(multiply(identity,X_37))) = X_37 ),
inference(demodulation,[status(thm),theory(equality)],[c_185,c_702]) ).
tff(c_781,plain,
! [X_37] : ( multiply(inverse(multiply(identity,X_37)),identity) = double_divide(X_37,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_754,c_4]) ).
tff(c_901,plain,
! [X_41] : ( multiply(inverse(multiply(identity,X_41)),identity) = inverse(X_41) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_781]) ).
tff(c_699,plain,
! [X_6] : ( double_divide(identity,multiply(inverse(X_6),identity)) = X_6 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_648]) ).
tff(c_940,plain,
! [X_42] : ( double_divide(identity,inverse(X_42)) = multiply(identity,X_42) ),
inference(superposition,[status(thm),theory(equality)],[c_901,c_699]) ).
tff(c_707,plain,
! [X_7] : ( double_divide(identity,inverse(multiply(identity,X_7))) = X_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_185,c_702]) ).
tff(c_946,plain,
! [X_7] : ( multiply(identity,multiply(identity,X_7)) = X_7 ),
inference(superposition,[status(thm),theory(equality)],[c_940,c_707]) ).
tff(c_1340,plain,
! [X_48] : ( double_divide(identity,X_48) = inverse(X_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1313]) ).
tff(c_93,plain,
! [Z_17,X_15,Y_16,Y_2] : ( double_divide(double_divide(identity,double_divide(multiply(double_divide(Z_17,X_15),Y_16),inverse(Y_2))),multiply(Z_17,Y_2)) = double_divide(identity,double_divide(X_15,inverse(Y_16))) ),
inference(superposition,[status(thm),theory(equality)],[c_90,c_11]) ).
tff(c_14509,plain,
! [Y_223,Z_224,X_225,Y_226] : ( double_divide(multiply(inverse(Y_223),multiply(double_divide(Z_224,X_225),Y_226)),multiply(Z_224,Y_223)) = multiply(inverse(Y_226),X_225) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_37,c_1340,c_1340,c_93]) ).
tff(c_15528,plain,
! [Y_236,Y_237,X_238] : ( double_divide(multiply(inverse(Y_236),multiply(identity,Y_237)),multiply(X_238,Y_236)) = multiply(inverse(Y_237),inverse(X_238)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_14509]) ).
tff(c_15659,plain,
! [Y_237] : ( double_divide(multiply(inverse(identity),multiply(identity,Y_237)),identity) = multiply(inverse(Y_237),inverse(identity)) ),
inference(superposition,[status(thm),theory(equality)],[c_309,c_15528]) ).
tff(c_15699,plain,
! [Y_237] : ( inverse(multiply(identity,Y_237)) = inverse(Y_237) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_185,c_1709,c_292,c_946,c_292,c_15659]) ).
tff(c_1361,plain,
! [X_7] : ( inverse(inverse(multiply(identity,X_7))) = X_7 ),
inference(superposition,[status(thm),theory(equality)],[c_1349,c_707]) ).
tff(c_15705,plain,
! [X_7] : ( inverse(inverse(X_7)) = X_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_15699,c_1361]) ).
tff(c_1385,plain,
! [X_49] : ( inverse(inverse(X_49)) = multiply(X_49,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1349,c_37]) ).
tff(c_15836,plain,
! [X_49] : ( multiply(X_49,identity) = X_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_15705,c_1385]) ).
tff(c_105,plain,
! [Z_3,X_1,Y_2,Y_16] : ( double_divide(double_divide(identity,double_divide(multiply(double_divide(Z_3,X_1),Y_2),inverse(Y_16))),multiply(Z_3,Y_16)) = double_divide(identity,double_divide(X_1,inverse(Y_2))) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_90]) ).
tff(c_3076,plain,
! [Y_73,Z_74,X_75,Y_76] : ( double_divide(multiply(inverse(Y_73),multiply(double_divide(Z_74,X_75),Y_76)),multiply(Z_74,Y_73)) = multiply(inverse(Y_76),X_75) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_1340,c_37,c_1340,c_105]) ).
tff(c_4133,plain,
! [Y_86,Y_87,X_88] : ( double_divide(multiply(inverse(Y_86),multiply(identity,Y_87)),multiply(X_88,Y_86)) = multiply(inverse(Y_87),inverse(X_88)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_3076]) ).
tff(c_4264,plain,
! [Y_87] : ( double_divide(multiply(inverse(identity),multiply(identity,Y_87)),identity) = multiply(inverse(Y_87),inverse(identity)) ),
inference(superposition,[status(thm),theory(equality)],[c_309,c_4133]) ).
tff(c_4304,plain,
! [Y_87] : ( inverse(multiply(identity,Y_87)) = inverse(Y_87) ),
inference(demodulation,[status(thm),theory(equality)],[c_185,c_1709,c_946,c_292,c_6,c_292,c_4264]) ).
tff(c_4311,plain,
! [X_7] : ( inverse(inverse(X_7)) = X_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_4304,c_1361]) ).
tff(c_796,plain,
! [X_37] : ( multiply(inverse(multiply(identity,X_37)),identity) = inverse(X_37) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_781]) ).
tff(c_4240,plain,
! [Y_87,X_37] : ( multiply(inverse(Y_87),inverse(inverse(multiply(identity,X_37)))) = double_divide(multiply(inverse(identity),multiply(identity,Y_87)),inverse(X_37)) ),
inference(superposition,[status(thm),theory(equality)],[c_796,c_4133]) ).
tff(c_7648,plain,
! [Y_140,X_141] : ( multiply(inverse(Y_140),X_141) = double_divide(Y_140,inverse(X_141)) ),
inference(demodulation,[status(thm),theory(equality)],[c_946,c_946,c_292,c_83,c_4240]) ).
tff(c_7743,plain,
! [X_7,X_141] : ( double_divide(inverse(X_7),inverse(X_141)) = multiply(X_7,X_141) ),
inference(superposition,[status(thm),theory(equality)],[c_4311,c_7648]) ).
tff(c_4437,plain,
! [X_49] : ( multiply(X_49,identity) = X_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_4311,c_1385]) ).
tff(c_293,plain,
! [X_7] : ( multiply(inverse(X_7),X_7) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_292,c_57]) ).
tff(c_913,plain,
! [X_41] : ( double_divide(identity,inverse(X_41)) = multiply(identity,X_41) ),
inference(superposition,[status(thm),theory(equality)],[c_901,c_699]) ).
tff(c_117,plain,
! [Y_16,X_6] : ( double_divide(double_divide(identity,double_divide(identity,inverse(Y_16))),multiply(inverse(X_6),Y_16)) = X_6 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_90]) ).
tff(c_1587,plain,
! [Y_52,X_53] : ( double_divide(inverse(multiply(identity,Y_52)),multiply(inverse(X_53),Y_52)) = X_53 ),
inference(demodulation,[status(thm),theory(equality)],[c_1340,c_913,c_117]) ).
tff(c_1643,plain,
! [X_7] : ( double_divide(inverse(multiply(identity,X_7)),identity) = X_7 ),
inference(superposition,[status(thm),theory(equality)],[c_293,c_1587]) ).
tff(c_4917,plain,
! [X_97] : ( double_divide(inverse(X_97),identity) = X_97 ),
inference(demodulation,[status(thm),theory(equality)],[c_4304,c_1643]) ).
tff(c_102,plain,
! [Z_17,X_15,Y_16] : ( multiply(multiply(double_divide(Z_17,X_15),Y_16),double_divide(identity,double_divide(X_15,inverse(Y_16)))) = double_divide(Z_17,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_90,c_4]) ).
tff(c_125,plain,
! [Z_17,X_15,Y_16] : ( multiply(multiply(double_divide(Z_17,X_15),Y_16),double_divide(identity,double_divide(X_15,inverse(Y_16)))) = inverse(Z_17) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_102]) ).
tff(c_2186,plain,
! [Z_17,X_15,Y_16] : ( multiply(multiply(double_divide(Z_17,X_15),Y_16),multiply(inverse(Y_16),X_15)) = inverse(Z_17) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_1340,c_125]) ).
tff(c_4939,plain,
! [X_97,Y_16] : ( multiply(multiply(X_97,Y_16),multiply(inverse(Y_16),identity)) = inverse(inverse(X_97)) ),
inference(superposition,[status(thm),theory(equality)],[c_4917,c_2186]) ).
tff(c_4989,plain,
! [X_97,Y_16] : ( multiply(multiply(X_97,Y_16),inverse(Y_16)) = X_97 ),
inference(demodulation,[status(thm),theory(equality)],[c_4437,c_4311,c_4939]) ).
tff(c_4296,plain,
! [Y_87,X_37] : ( multiply(inverse(Y_87),X_37) = double_divide(Y_87,inverse(X_37)) ),
inference(demodulation,[status(thm),theory(equality)],[c_946,c_946,c_292,c_83,c_4240]) ).
tff(c_4438,plain,
! [X_6] : ( multiply(identity,X_6) = X_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_4311,c_83]) ).
tff(c_1239,plain,
! [Y_47,Y_2,X_46] : ( double_divide(double_divide(identity,double_divide(multiply(identity,Y_47),inverse(Y_2))),multiply(X_46,Y_2)) = double_divide(identity,double_divide(inverse(X_46),inverse(Y_47))) ),
inference(superposition,[status(thm),theory(equality)],[c_1221,c_11]) ).
tff(c_10168,plain,
! [Y_173,Y_174,X_175] : ( double_divide(double_divide(Y_173,inverse(Y_174)),multiply(X_175,Y_173)) = double_divide(Y_174,X_175) ),
inference(demodulation,[status(thm),theory(equality)],[c_4311,c_4296,c_4296,c_4438,c_37,c_1340,c_37,c_1340,c_1239]) ).
tff(c_10269,plain,
! [Y_16,Y_174,X_97] : ( double_divide(double_divide(inverse(Y_16),inverse(Y_174)),X_97) = double_divide(Y_174,multiply(X_97,Y_16)) ),
inference(superposition,[status(thm),theory(equality)],[c_4989,c_10168]) ).
tff(c_12356,plain,
! [Y_197,Y_198,X_199] : ( double_divide(multiply(Y_197,Y_198),X_199) = double_divide(Y_198,multiply(X_199,Y_197)) ),
inference(demodulation,[status(thm),theory(equality)],[c_7743,c_10269]) ).
tff(c_13216,plain,
! [Y_206,X_207,Y_208] : ( double_divide(double_divide(Y_206,multiply(X_207,Y_208)),identity) = multiply(X_207,multiply(Y_208,Y_206)) ),
inference(superposition,[status(thm),theory(equality)],[c_12356,c_4]) ).
tff(c_13397,plain,
! [X_207,Y_208,Y_5] : ( multiply(multiply(X_207,Y_208),Y_5) = multiply(X_207,multiply(Y_208,Y_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_13216]) ).
tff(c_291,plain,
( ( multiply(identity,a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(splitRight,[status(thm)],[c_191]) ).
tff(c_2080,plain,
( ( multiply(a2,identity) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1709,c_291]) ).
tff(c_2081,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(splitLeft,[status(thm)],[c_2080]) ).
tff(c_13467,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13397,c_2081]) ).
tff(c_13468,plain,
multiply(a2,identity) != a2,
inference(splitRight,[status(thm)],[c_2080]) ).
tff(c_15947,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15836,c_13468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 21:56:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 8.75/3.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.08/3.29
% 9.08/3.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.08/3.33
% 9.08/3.33 Inference rules
% 9.08/3.33 ----------------------
% 9.08/3.33 #Ref : 0
% 9.08/3.33 #Sup : 3917
% 9.08/3.33 #Fact : 0
% 9.08/3.33 #Define : 0
% 9.08/3.33 #Split : 2
% 9.08/3.33 #Chain : 0
% 9.08/3.33 #Close : 0
% 9.08/3.33
% 9.08/3.33 Ordering : KBO
% 9.08/3.33
% 9.08/3.33 Simplification rules
% 9.08/3.33 ----------------------
% 9.08/3.33 #Subsume : 26
% 9.08/3.33 #Demod : 6797
% 9.08/3.33 #Tautology : 2620
% 9.08/3.33 #SimpNegUnit : 1
% 9.08/3.33 #BackRed : 79
% 9.08/3.33
% 9.08/3.33 #Partial instantiations: 0
% 9.08/3.33 #Strategies tried : 1
% 9.08/3.33
% 9.08/3.33 Timing (in seconds)
% 9.08/3.33 ----------------------
% 9.08/3.33 Preprocessing : 0.43
% 9.08/3.33 Parsing : 0.23
% 9.08/3.33 CNF conversion : 0.02
% 9.08/3.33 Main loop : 1.82
% 9.08/3.33 Inferencing : 0.56
% 9.08/3.33 Reduction : 0.77
% 9.08/3.33 Demodulation : 0.66
% 9.08/3.33 BG Simplification : 0.06
% 9.08/3.33 Subsumption : 0.27
% 9.08/3.33 Abstraction : 0.09
% 9.08/3.33 MUC search : 0.00
% 9.08/3.33 Cooper : 0.00
% 9.08/3.33 Total : 2.31
% 9.08/3.33 Index Insertion : 0.00
% 9.08/3.33 Index Deletion : 0.00
% 9.08/3.33 Index Matching : 0.00
% 9.08/3.33 BG Taut test : 0.00
%------------------------------------------------------------------------------