TSTP Solution File: GRP404-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% 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 10:41:11 EDT 2023
% Result : Unsatisfiable 148.23s 67.56s
% Output : CNFRefutation 148.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 44 unt; 4 typ; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 126 (; 126 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > b2 > a2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(a2,type,
a2: $i ).
tff(f_24,axiom,
! [A,B,C] : ( multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))) = C ),
file(unknown,unknown) ).
tff(f_26,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(A_1,B_2)),C_3)),inverse(multiply(B_2,multiply(inverse(B_2),B_2)))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_5,plain,
! [A_4,B_5,C_6] : ( multiply(A_4,inverse(multiply(inverse(multiply(inverse(multiply(A_4,B_5)),C_6)),inverse(multiply(B_5,multiply(inverse(B_5),B_5)))))) = C_6 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_28,plain,
! [A_7,C_8,B_9,B_10] : ( multiply(A_7,inverse(multiply(inverse(C_8),inverse(multiply(B_9,multiply(inverse(B_9),B_9)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A_7,B_9)),B_10)),C_8)),inverse(multiply(B_10,multiply(inverse(B_10),B_10))))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_150,plain,
! [A_1,B_2,B_10,C_3] : ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A_1,B_2)),B_10)),multiply(inverse(multiply(A_1,B_2)),C_3))),inverse(multiply(B_10,multiply(inverse(B_10),B_10))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_28]) ).
tff(c_228,plain,
! [A_14,B_15,B_16,C_17] : ( inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A_14,B_15)),B_16)),multiply(inverse(multiply(A_14,B_15)),C_17))),inverse(multiply(B_16,multiply(inverse(B_16),B_16))))) = C_17 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_28]) ).
tff(c_231,plain,
! [B_16,C_3,B_10,A_14,C_17,B_15] : ( inverse(multiply(inverse(multiply(inverse(multiply(C_17,B_10)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A_14,B_15)),B_16)),multiply(inverse(multiply(A_14,B_15)),C_17))),inverse(multiply(B_16,multiply(inverse(B_16),B_16))))),C_3))),inverse(multiply(B_10,multiply(inverse(B_10),B_10))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_228,c_150]) ).
tff(c_386,plain,
! [C_18,B_19,C_20] : ( inverse(multiply(inverse(multiply(inverse(multiply(C_18,B_19)),multiply(C_18,C_20))),inverse(multiply(B_19,multiply(inverse(B_19),B_19))))) = C_20 ),
inference(demodulation,[status(thm),theory(equality)],[c_150,c_231]) ).
tff(c_4098,plain,
! [C_56,B_57,C_58] : ( multiply(inverse(multiply(C_56,B_57)),inverse(multiply(C_58,inverse(multiply(multiply(C_56,C_58),multiply(inverse(multiply(C_56,C_58)),multiply(C_56,C_58))))))) = inverse(multiply(B_57,multiply(inverse(B_57),B_57))) ),
inference(superposition,[status(thm),theory(equality)],[c_386,c_2]) ).
tff(c_86,plain,
! [A_7,B_9,C_8] : ( multiply(inverse(multiply(A_7,B_9)),multiply(A_7,inverse(multiply(inverse(C_8),inverse(multiply(B_9,multiply(inverse(B_9),B_9))))))) = C_8 ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_2]) ).
tff(c_4394,plain,
! [C_56,B_57,C_8] : ( multiply(inverse(multiply(inverse(multiply(C_56,B_57)),multiply(C_56,inverse(C_8)))),inverse(multiply(B_57,multiply(inverse(B_57),B_57)))) = C_8 ),
inference(superposition,[status(thm),theory(equality)],[c_4098,c_86]) ).
tff(c_371,plain,
! [C_17,B_10,C_3] : ( inverse(multiply(inverse(multiply(inverse(multiply(C_17,B_10)),multiply(C_17,C_3))),inverse(multiply(B_10,multiply(inverse(B_10),B_10))))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_150,c_231]) ).
tff(c_495,plain,
! [C_21,B_22,C_23,A_24] : ( multiply(inverse(multiply(C_21,B_22)),multiply(C_21,C_23)) = multiply(inverse(multiply(A_24,B_22)),multiply(A_24,C_23)) ),
inference(superposition,[status(thm),theory(equality)],[c_386,c_86]) ).
tff(c_7603,plain,
! [C_81,C_78,C_79,B_80,C_77] : ( multiply(inverse(multiply(C_77,inverse(multiply(B_80,multiply(inverse(B_80),B_80))))),multiply(C_77,C_79)) = multiply(C_81,multiply(inverse(multiply(inverse(multiply(C_78,B_80)),multiply(C_78,C_81))),C_79)) ),
inference(superposition,[status(thm),theory(equality)],[c_371,c_495]) ).
tff(c_8611,plain,
! [C_82,B_83,C_84] : ( multiply(inverse(multiply(C_82,inverse(multiply(B_83,multiply(inverse(B_83),B_83))))),multiply(C_82,inverse(multiply(B_83,multiply(inverse(B_83),B_83))))) = multiply(inverse(C_84),C_84) ),
inference(superposition,[status(thm),theory(equality)],[c_4394,c_7603]) ).
tff(c_8280,plain,
! [C_77,B_57,C_8] : ( multiply(inverse(multiply(C_77,inverse(multiply(B_57,multiply(inverse(B_57),B_57))))),multiply(C_77,inverse(multiply(B_57,multiply(inverse(B_57),B_57))))) = multiply(inverse(C_8),C_8) ),
inference(superposition,[status(thm),theory(equality)],[c_4394,c_7603]) ).
tff(c_8637,plain,
! [C_84,C_8] : ( multiply(inverse(C_84),C_84) = multiply(inverse(C_8),C_8) ),
inference(superposition,[status(thm),theory(equality)],[c_8611,c_8280]) ).
tff(c_9635,plain,
! [C_86,C_85] : ( multiply(inverse(C_86),C_86) = multiply(inverse(C_85),C_85) ),
inference(superposition,[status(thm),theory(equality)],[c_8611,c_8280]) ).
tff(c_9882,plain,
! [C_85,C_8] : ( multiply(inverse(multiply(inverse(C_85),C_85)),inverse(multiply(inverse(C_8),multiply(inverse(inverse(C_8)),inverse(C_8))))) = C_8 ),
inference(superposition,[status(thm),theory(equality)],[c_9635,c_4394]) ).
tff(c_11157,plain,
! [C_90,C_91] : ( multiply(inverse(multiply(inverse(C_90),C_90)),inverse(multiply(inverse(C_91),multiply(inverse(C_91),C_91)))) = C_91 ),
inference(demodulation,[status(thm),theory(equality)],[c_8637,c_9882]) ).
tff(c_11388,plain,
! [C_90,C_84,C_8] : ( multiply(inverse(multiply(inverse(C_90),C_90)),inverse(multiply(inverse(C_84),multiply(inverse(C_8),C_8)))) = C_84 ),
inference(superposition,[status(thm),theory(equality)],[c_8637,c_11157]) ).
tff(c_12,plain,
! [A_1,C_6,B_2,B_5] : ( multiply(A_1,inverse(multiply(inverse(C_6),inverse(multiply(B_2,multiply(inverse(B_2),B_2)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A_1,B_2)),B_5)),C_6)),inverse(multiply(B_5,multiply(inverse(B_5),B_5))))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_10434,plain,
! [A_1,B_2,B_5,C_85] : ( multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(A_1,B_2)),B_5)),inverse(multiply(B_2,multiply(inverse(B_2),B_2)))))) = inverse(multiply(inverse(multiply(inverse(C_85),C_85)),inverse(multiply(B_5,multiply(inverse(B_5),B_5))))) ),
inference(superposition,[status(thm),theory(equality)],[c_9635,c_12]) ).
tff(c_10672,plain,
! [C_88,B_89] : ( inverse(multiply(inverse(multiply(inverse(C_88),C_88)),inverse(multiply(B_89,multiply(inverse(B_89),B_89))))) = B_89 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_10434]) ).
tff(c_10957,plain,
! [C_88,C_84,C_8] : ( inverse(multiply(inverse(multiply(inverse(C_88),C_88)),inverse(multiply(C_84,multiply(inverse(C_8),C_8))))) = C_84 ),
inference(superposition,[status(thm),theory(equality)],[c_8637,c_10672]) ).
tff(c_13330,plain,
! [C_98,C_99,C_100] : ( multiply(inverse(multiply(inverse(C_98),C_98)),inverse(multiply(inverse(C_99),multiply(inverse(C_100),C_100)))) = C_99 ),
inference(superposition,[status(thm),theory(equality)],[c_8637,c_11157]) ).
tff(c_15190,plain,
! [C_108,C_109,C_110] : ( multiply(inverse(multiply(inverse(C_108),C_108)),inverse(multiply(inverse(C_109),C_109))) = multiply(inverse(C_110),C_110) ),
inference(superposition,[status(thm),theory(equality)],[c_8637,c_13330]) ).
tff(c_10447,plain,
! [A_1,C_85,C_3,C_86] : ( multiply(A_1,inverse(multiply(inverse(multiply(inverse(multiply(A_1,C_85)),C_3)),inverse(multiply(C_85,multiply(inverse(C_86),C_86)))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_9635,c_2]) ).
tff(c_15229,plain,
! [C_108,C_110,C_86,C_109] : ( multiply(inverse(C_108),inverse(multiply(inverse(multiply(inverse(C_110),C_110)),inverse(multiply(C_108,multiply(inverse(C_86),C_86)))))) = inverse(multiply(inverse(C_109),C_109)) ),
inference(superposition,[status(thm),theory(equality)],[c_15190,c_10447]) ).
tff(c_16147,plain,
! [C_111,C_112] : ( multiply(inverse(C_111),C_111) = inverse(multiply(inverse(C_112),C_112)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10957,c_15229]) ).
tff(c_16128,plain,
! [C_108,C_109] : ( multiply(inverse(C_108),C_108) = inverse(multiply(inverse(C_109),C_109)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10957,c_15229]) ).
tff(c_114596,plain,
! [C_288,C_289,C_290] : ( multiply(inverse(C_288),C_288) = inverse(multiply(multiply(inverse(C_289),C_289),multiply(inverse(C_290),C_290))) ),
inference(superposition,[status(thm),theory(equality)],[c_16147,c_16128]) ).
tff(c_13619,plain,
! [C_98,C_99,C_100] : ( multiply(inverse(C_98),inverse(multiply(inverse(C_99),inverse(multiply(C_98,multiply(inverse(C_98),C_98)))))) = inverse(multiply(inverse(C_99),multiply(inverse(C_100),C_100))) ),
inference(superposition,[status(thm),theory(equality)],[c_13330,c_2]) ).
tff(c_115696,plain,
! [C_289,C_99,C_288,C_100] : ( multiply(inverse(multiply(inverse(C_289),C_289)),inverse(multiply(inverse(C_99),multiply(inverse(C_288),C_288)))) = inverse(multiply(inverse(C_99),multiply(inverse(C_100),C_100))) ),
inference(superposition,[status(thm),theory(equality)],[c_114596,c_13619]) ).
tff(c_117656,plain,
! [C_99,C_100] : ( inverse(multiply(inverse(C_99),multiply(inverse(C_100),C_100))) = C_99 ),
inference(demodulation,[status(thm),theory(equality)],[c_11388,c_115696]) ).
tff(c_37769,plain,
! [C_168,C_169,C_170] : ( multiply(inverse(C_168),inverse(multiply(inverse(C_169),inverse(multiply(C_168,multiply(inverse(C_168),C_168)))))) = inverse(multiply(inverse(C_169),multiply(inverse(C_170),C_170))) ),
inference(superposition,[status(thm),theory(equality)],[c_13330,c_2]) ).
tff(c_38308,plain,
! [C_168,C_170,C_84,C_8] : ( multiply(multiply(inverse(C_168),inverse(multiply(inverse(multiply(inverse(C_170),C_170)),inverse(multiply(C_168,multiply(inverse(C_168),C_168)))))),inverse(multiply(inverse(C_84),multiply(inverse(C_8),C_8)))) = C_84 ),
inference(superposition,[status(thm),theory(equality)],[c_37769,c_11388]) ).
tff(c_39692,plain,
! [C_168,C_84,C_8] : ( multiply(multiply(inverse(C_168),C_168),inverse(multiply(inverse(C_84),multiply(inverse(C_8),C_8)))) = C_84 ),
inference(demodulation,[status(thm),theory(equality)],[c_10957,c_38308]) ).
tff(c_117709,plain,
! [C_168,C_84] : ( multiply(multiply(inverse(C_168),C_168),C_84) = C_84 ),
inference(demodulation,[status(thm),theory(equality)],[c_117656,c_39692]) ).
tff(c_4,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_10459,plain,
! [C_86] : ( multiply(multiply(inverse(C_86),C_86),a2) != a2 ),
inference(superposition,[status(thm),theory(equality)],[c_9635,c_4]) ).
tff(c_16322,plain,
! [C_111,C_112] : ( multiply(multiply(multiply(inverse(C_111),C_111),multiply(inverse(C_112),C_112)),a2) != a2 ),
inference(superposition,[status(thm),theory(equality)],[c_16147,c_10459]) ).
tff(c_119387,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_117709,c_117709,c_16322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% 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
% 0.13/0.35 % Computer : n010.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 22:03:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 148.23/67.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 148.33/67.58
% 148.33/67.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 148.33/67.63
% 148.33/67.63 Inference rules
% 148.33/67.63 ----------------------
% 148.33/67.63 #Ref : 0
% 148.33/67.63 #Sup : 34137
% 148.33/67.63 #Fact : 0
% 148.33/67.63 #Define : 0
% 148.33/67.63 #Split : 0
% 148.33/67.63 #Chain : 0
% 148.33/67.63 #Close : 0
% 148.33/67.63
% 148.33/67.63 Ordering : KBO
% 148.33/67.63
% 148.33/67.63 Simplification rules
% 148.33/67.63 ----------------------
% 148.33/67.63 #Subsume : 2184
% 148.33/67.63 #Demod : 8909
% 148.33/67.63 #Tautology : 910
% 148.33/67.63 #SimpNegUnit : 0
% 148.33/67.63 #BackRed : 17
% 148.33/67.63
% 148.33/67.63 #Partial instantiations: 0
% 148.33/67.63 #Strategies tried : 1
% 148.33/67.63
% 148.33/67.63 Timing (in seconds)
% 148.33/67.63 ----------------------
% 148.33/67.63 Preprocessing : 0.39
% 148.33/67.63 Parsing : 0.21
% 148.33/67.63 CNF conversion : 0.02
% 148.33/67.63 Main loop : 66.16
% 148.33/67.63 Inferencing : 9.69
% 148.33/67.63 Reduction : 51.44
% 148.33/67.63 Demodulation : 50.28
% 148.33/67.63 BG Simplification : 2.02
% 148.33/67.63 Subsumption : 2.32
% 148.33/67.63 Abstraction : 3.70
% 148.33/67.63 MUC search : 0.00
% 148.33/67.63 Cooper : 0.00
% 148.33/67.63 Total : 66.62
% 148.33/67.63 Index Insertion : 0.00
% 148.33/67.63 Index Deletion : 0.00
% 148.33/67.63 Index Matching : 0.00
% 148.33/67.63 BG Taut test : 0.00
%------------------------------------------------------------------------------