TSTP Solution File: GRP434-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP434-1 : 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 : n017.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 10:41:14 EDT 2023
% Result : Unsatisfiable 7.52s 2.92s
% Output : CNFRefutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 45 ( 41 unt; 4 typ; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 10 ( 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 : 107 (; 107 !; 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_23,axiom,
! [A,B,C,D] : ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C ),
file(unknown,unknown) ).
tff(f_25,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file(unknown,unknown) ).
tff(c_5,plain,
! [A_5,B_6,C_7,D_8] : ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(A_5,B_6),C_7)),A_5),B_6),multiply(D_8,inverse(D_8)))) = C_7 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(A_1,B_2),C_3)),A_1),B_2),multiply(D_4,inverse(D_4)))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_26,plain,
! [D_9,D_11,C_12,A_13,B_10] : ( multiply(D_9,inverse(D_9)) = inverse(multiply(multiply(multiply(C_12,multiply(inverse(multiply(multiply(A_13,B_10),C_12)),A_13)),B_10),multiply(D_11,inverse(D_11)))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_8,plain,
! [B_6,C_7,D_8,D_4,A_5] : ( multiply(D_8,inverse(D_8)) = inverse(multiply(multiply(multiply(C_7,multiply(inverse(multiply(multiply(A_5,B_6),C_7)),A_5)),B_6),multiply(D_4,inverse(D_4)))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_95,plain,
! [D_15,D_14] : ( multiply(D_15,inverse(D_15)) = multiply(D_14,inverse(D_14)) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_8]) ).
tff(c_286,plain,
! [D_20,A_21,B_22,D_23] : ( inverse(multiply(multiply(multiply(inverse(multiply(D_20,inverse(D_20))),A_21),B_22),multiply(D_23,inverse(D_23)))) = inverse(multiply(A_21,B_22)) ),
inference(superposition,[status(thm),theory(equality)],[c_95,c_2]) ).
tff(c_128,plain,
! [D_15,C_3,D_14,D_4] : ( inverse(multiply(multiply(multiply(inverse(multiply(multiply(D_15,inverse(D_15)),C_3)),D_14),inverse(D_14)),multiply(D_4,inverse(D_4)))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_95,c_2]) ).
tff(c_425,plain,
! [D_24,A_25] : ( inverse(multiply(D_24,inverse(D_24))) = inverse(multiply(A_25,inverse(A_25))) ),
inference(superposition,[status(thm),theory(equality)],[c_286,c_128]) ).
tff(c_37,plain,
! [D_9,D_8] : ( multiply(D_9,inverse(D_9)) = multiply(D_8,inverse(D_8)) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_8]) ).
tff(c_499,plain,
! [D_24,A_25,D_9] : ( multiply(multiply(D_24,inverse(D_24)),inverse(multiply(A_25,inverse(A_25)))) = multiply(D_9,inverse(D_9)) ),
inference(superposition,[status(thm),theory(equality)],[c_425,c_37]) ).
tff(c_312,plain,
! [D_15,A_21] : ( inverse(multiply(D_15,inverse(D_15))) = inverse(multiply(A_21,inverse(A_21))) ),
inference(superposition,[status(thm),theory(equality)],[c_286,c_128]) ).
tff(c_1399,plain,
! [D_39,A_40,B_41,D_42] : ( multiply(D_39,inverse(D_39)) = inverse(multiply(multiply(inverse(multiply(multiply(A_40,B_41),inverse(multiply(D_42,inverse(D_42))))),A_40),B_41)) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_286]) ).
tff(c_2075,plain,
! [D_48,D_49,A_50] : ( multiply(D_48,inverse(D_48)) = inverse(multiply(multiply(inverse(multiply(D_49,inverse(D_49))),A_50),inverse(A_50))) ),
inference(superposition,[status(thm),theory(equality)],[c_312,c_1399]) ).
tff(c_3449,plain,
! [D_60,D_61,A_62,D_63] : ( inverse(multiply(multiply(multiply(multiply(D_60,inverse(D_60)),inverse(multiply(D_61,inverse(D_61)))),A_62),multiply(D_63,inverse(D_63)))) = inverse(A_62) ),
inference(superposition,[status(thm),theory(equality)],[c_2075,c_2]) ).
tff(c_3740,plain,
! [D_9,D_61,A_62,D_63] : ( inverse(multiply(multiply(multiply(multiply(D_9,inverse(D_9)),inverse(multiply(D_61,inverse(D_61)))),A_62),multiply(D_63,inverse(D_63)))) = inverse(A_62) ),
inference(superposition,[status(thm),theory(equality)],[c_499,c_3449]) ).
tff(c_3869,plain,
! [D_64,A_65,D_66] : ( inverse(multiply(multiply(multiply(D_64,inverse(D_64)),A_65),multiply(D_66,inverse(D_66)))) = inverse(A_65) ),
inference(demodulation,[status(thm),theory(equality)],[c_499,c_3740]) ).
tff(c_141,plain,
! [D_14,A_1,B_2,D_4] : ( inverse(multiply(multiply(multiply(inverse(multiply(D_14,inverse(D_14))),A_1),B_2),multiply(D_4,inverse(D_4)))) = inverse(multiply(A_1,B_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_95,c_2]) ).
tff(c_3979,plain,
! [D_14,A_65] : ( inverse(multiply(inverse(inverse(multiply(D_14,inverse(D_14)))),A_65)) = inverse(A_65) ),
inference(superposition,[status(thm),theory(equality)],[c_3869,c_141]) ).
tff(c_3996,plain,
! [D_15,C_3] : ( inverse(inverse(inverse(inverse(multiply(multiply(D_15,inverse(D_15)),C_3))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_3869,c_128]) ).
tff(c_2285,plain,
! [D_48,D_49,A_50,D_4] : ( inverse(multiply(multiply(multiply(multiply(D_48,inverse(D_48)),inverse(multiply(D_49,inverse(D_49)))),A_50),multiply(D_4,inverse(D_4)))) = inverse(A_50) ),
inference(superposition,[status(thm),theory(equality)],[c_2075,c_2]) ).
tff(c_4525,plain,
! [D_69,C_70] : ( inverse(inverse(inverse(inverse(multiply(multiply(D_69,inverse(D_69)),C_70))))) = C_70 ),
inference(superposition,[status(thm),theory(equality)],[c_3869,c_128]) ).
tff(c_4668,plain,
! [D_4,D_48,D_49] : ( multiply(D_4,inverse(D_4)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(D_48,inverse(D_48)),inverse(multiply(D_49,inverse(D_49))))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_2285,c_4525]) ).
tff(c_4801,plain,
! [D_71,D_72] : ( multiply(D_71,inverse(D_71)) = inverse(inverse(multiply(D_72,inverse(D_72)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_3996,c_4668]) ).
tff(c_4822,plain,
! [D_72,C_3] : ( inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(D_72,inverse(D_72)))),C_3))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_4801,c_3996]) ).
tff(c_5291,plain,
! [C_73] : ( inverse(inverse(inverse(inverse(C_73)))) = C_73 ),
inference(demodulation,[status(thm),theory(equality)],[c_3979,c_4822]) ).
tff(c_5315,plain,
! [D_15,C_3] : ( multiply(multiply(D_15,inverse(D_15)),C_3) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_5291,c_3996]) ).
tff(c_5276,plain,
! [C_3] : ( inverse(inverse(inverse(inverse(C_3)))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_3979,c_4822]) ).
tff(c_3856,plain,
! [D_9,A_62,D_63] : ( inverse(multiply(multiply(multiply(D_9,inverse(D_9)),A_62),multiply(D_63,inverse(D_63)))) = inverse(A_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_499,c_3740]) ).
tff(c_6602,plain,
! [A_87,D_88] : ( inverse(multiply(A_87,multiply(D_88,inverse(D_88)))) = inverse(A_87) ),
inference(demodulation,[status(thm),theory(equality)],[c_5315,c_3856]) ).
tff(c_6629,plain,
! [A_87,D_88] : ( multiply(A_87,multiply(D_88,inverse(D_88))) = inverse(inverse(inverse(inverse(A_87)))) ),
inference(superposition,[status(thm),theory(equality)],[c_6602,c_5276]) ).
tff(c_6826,plain,
! [A_89,D_90] : ( multiply(A_89,multiply(D_90,inverse(D_90))) = A_89 ),
inference(demodulation,[status(thm),theory(equality)],[c_5276,c_6629]) ).
tff(c_6900,plain,
! [A_89,D_15] : ( multiply(A_89,inverse(multiply(D_15,inverse(D_15)))) = A_89 ),
inference(superposition,[status(thm),theory(equality)],[c_5315,c_6826]) ).
tff(c_6809,plain,
! [A_87,D_88] : ( multiply(A_87,multiply(D_88,inverse(D_88))) = A_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_5276,c_6629]) ).
tff(c_7167,plain,
! [A_93,B_94,C_95] : ( inverse(multiply(multiply(inverse(multiply(multiply(A_93,B_94),C_95)),A_93),B_94)) = C_95 ),
inference(superposition,[status(thm),theory(equality)],[c_6602,c_2]) ).
tff(c_7293,plain,
! [D_9,C_95,D_24,A_25] : ( inverse(multiply(multiply(inverse(multiply(multiply(D_9,inverse(D_9)),C_95)),multiply(D_24,inverse(D_24))),inverse(multiply(A_25,inverse(A_25))))) = C_95 ),
inference(superposition,[status(thm),theory(equality)],[c_499,c_7167]) ).
tff(c_7344,plain,
! [C_96] : ( inverse(inverse(C_96)) = C_96 ),
inference(demodulation,[status(thm),theory(equality)],[c_6900,c_6809,c_5315,c_7293]) ).
tff(c_7362,plain,
! [C_96,C_3] : ( multiply(multiply(inverse(C_96),C_96),C_3) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_7344,c_5315]) ).
tff(c_4,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_7544,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7362,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP434-1 : 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 : n017.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 21:38:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.52/2.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.52/2.93
% 7.52/2.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.52/2.98
% 7.52/2.98 Inference rules
% 7.52/2.98 ----------------------
% 7.52/2.98 #Ref : 0
% 7.52/2.98 #Sup : 2409
% 7.52/2.98 #Fact : 0
% 7.52/2.98 #Define : 0
% 7.52/2.98 #Split : 0
% 7.52/2.98 #Chain : 0
% 7.52/2.98 #Close : 0
% 7.52/2.98
% 7.52/2.98 Ordering : KBO
% 7.52/2.98
% 7.52/2.98 Simplification rules
% 7.52/2.98 ----------------------
% 7.52/2.98 #Subsume : 258
% 7.52/2.98 #Demod : 349
% 7.52/2.98 #Tautology : 179
% 7.52/2.98 #SimpNegUnit : 0
% 7.52/2.98 #BackRed : 16
% 7.52/2.98
% 7.52/2.98 #Partial instantiations: 0
% 7.52/2.98 #Strategies tried : 1
% 7.52/2.98
% 7.52/2.98 Timing (in seconds)
% 7.52/2.98 ----------------------
% 7.52/2.99 Preprocessing : 0.38
% 7.52/2.99 Parsing : 0.20
% 7.52/2.99 CNF conversion : 0.02
% 7.52/2.99 Main loop : 1.51
% 7.52/2.99 Inferencing : 0.62
% 7.52/2.99 Reduction : 0.52
% 7.52/2.99 Demodulation : 0.44
% 7.52/2.99 BG Simplification : 0.10
% 7.52/2.99 Subsumption : 0.19
% 7.52/2.99 Abstraction : 0.15
% 7.52/2.99 MUC search : 0.00
% 7.52/2.99 Cooper : 0.00
% 7.52/2.99 Total : 1.97
% 7.52/2.99 Index Insertion : 0.00
% 7.52/2.99 Index Deletion : 0.00
% 7.52/2.99 Index Matching : 0.00
% 7.52/2.99 BG Taut test : 0.00
%------------------------------------------------------------------------------