TSTP Solution File: GRP468-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP468-1 : 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 : n003.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 10:41:19 EDT 2023
% Result : Unsatisfiable 15.44s 5.75s
% Output : CNFRefutation 15.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 40 unt; 6 typ; 0 def)
% Number of atoms : 40 ( 39 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 : 7 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 115 (; 115 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(divide,type,
divide: ( $i * $i ) > $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = divide(A,inverse(B)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C,D] : ( divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_4,plain,
! [A_5,B_6] : ( divide(A_5,inverse(B_6)) = multiply(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( divide(divide(A_1,A_1),divide(B_2,divide(divide(C_3,divide(D_4,B_2)),inverse(D_4)))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [A_9,B_10,C_11,D_12] : ( divide(divide(A_9,A_9),divide(B_10,multiply(divide(C_11,divide(D_12,B_10)),D_12))) = C_11 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_7,plain,
! [A_1,B_2,C_3,D_4] : ( divide(divide(A_1,A_1),divide(B_2,multiply(divide(C_3,divide(D_4,B_2)),D_4))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2]) ).
tff(c_106,plain,
! [A_24,A_25,C_22,D_23,B_21] : ( divide(divide(A_24,A_24),divide(multiply(divide(C_22,divide(D_23,B_21)),D_23),multiply(C_22,B_21))) = divide(A_25,A_25) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_23,plain,
! [C_11,A_1,B_10,D_12,A_9] : ( divide(divide(A_1,A_1),divide(multiply(divide(C_11,divide(D_12,B_10)),D_12),multiply(C_11,B_10))) = divide(A_9,A_9) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_212,plain,
! [A_27,A_26] : ( divide(A_27,A_27) = divide(A_26,A_26) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_23]) ).
tff(c_432,plain,
! [A_32,B_33,A_34,D_35] : ( divide(divide(A_32,A_32),divide(B_33,multiply(divide(A_34,A_34),D_35))) = divide(D_35,B_33) ),
inference(superposition,[status(thm),theory(equality)],[c_212,c_7]) ).
tff(c_576,plain,
! [B_6,B_33,A_34,D_35] : ( divide(multiply(inverse(B_6),B_6),divide(B_33,multiply(divide(A_34,A_34),D_35))) = divide(D_35,B_33) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_432]) ).
tff(c_5233,plain,
! [D_109,A_110,D_111,A_112] : ( divide(D_109,multiply(divide(divide(A_110,A_110),divide(D_111,D_109)),D_111)) = divide(A_112,A_112) ),
inference(superposition,[status(thm),theory(equality)],[c_432,c_23]) ).
tff(c_8586,plain,
! [C_133,D_134,B_135,A_136] : ( divide(multiply(divide(C_133,divide(D_134,B_135)),D_134),multiply(C_133,B_135)) = divide(A_136,A_136) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_5233]) ).
tff(c_81,plain,
! [A_17,B_18,C_19,A_20] : ( divide(divide(A_17,A_17),divide(inverse(B_18),multiply(divide(C_19,multiply(A_20,B_18)),A_20))) = C_19 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_103,plain,
! [B_6,B_18,C_19,A_20] : ( divide(multiply(inverse(B_6),B_6),divide(inverse(B_18),multiply(divide(C_19,multiply(A_20,B_18)),A_20))) = C_19 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_81]) ).
tff(c_8750,plain,
! [B_6,C_133,D_134,B_135,A_136] : ( multiply(divide(C_133,divide(D_134,B_135)),D_134) = divide(multiply(inverse(B_6),B_6),divide(inverse(B_135),multiply(divide(A_136,A_136),C_133))) ),
inference(superposition,[status(thm),theory(equality)],[c_8586,c_103]) ).
tff(c_9264,plain,
! [C_133,D_134,B_135] : ( multiply(divide(C_133,divide(D_134,B_135)),D_134) = multiply(C_133,B_135) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_576,c_8750]) ).
tff(c_9567,plain,
! [A_140,B_141,C_142] : ( divide(divide(A_140,A_140),divide(B_141,multiply(C_142,B_141))) = C_142 ),
inference(demodulation,[status(thm),theory(equality)],[c_9264,c_7]) ).
tff(c_4058,plain,
! [A_96,A_97,C_98,A_99] : ( divide(divide(A_96,A_96),divide(A_97,multiply(divide(C_98,divide(A_99,A_99)),A_97))) = C_98 ),
inference(superposition,[status(thm),theory(equality)],[c_212,c_7]) ).
tff(c_4269,plain,
! [A_96,A_97,C_98,B_6] : ( divide(divide(A_96,A_96),divide(A_97,multiply(divide(C_98,multiply(inverse(B_6),B_6)),A_97))) = C_98 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4058]) ).
tff(c_10249,plain,
! [C_148,B_149] : ( divide(C_148,multiply(inverse(B_149),B_149)) = C_148 ),
inference(superposition,[status(thm),theory(equality)],[c_9567,c_4269]) ).
tff(c_9279,plain,
! [A_1,B_2,C_3] : ( divide(divide(A_1,A_1),divide(B_2,multiply(C_3,B_2))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_9264,c_7]) ).
tff(c_10504,plain,
! [A_150,B_151] : ( divide(divide(A_150,A_150),B_151) = inverse(B_151) ),
inference(superposition,[status(thm),theory(equality)],[c_10249,c_9279]) ).
tff(c_11988,plain,
! [B_165,C_166] : ( inverse(divide(B_165,multiply(C_166,B_165))) = C_166 ),
inference(superposition,[status(thm),theory(equality)],[c_10504,c_9279]) ).
tff(c_10897,plain,
! [A_150,B_6] : ( multiply(divide(A_150,A_150),B_6) = inverse(inverse(B_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_10504]) ).
tff(c_10267,plain,
! [A_1,B_149] : ( divide(divide(A_1,A_1),B_149) = inverse(B_149) ),
inference(superposition,[status(thm),theory(equality)],[c_10249,c_9279]) ).
tff(c_282,plain,
! [A_1,A_27,C_3,A_26] : ( divide(divide(A_1,A_1),divide(A_27,multiply(divide(C_3,divide(A_26,A_26)),A_27))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_212,c_7]) ).
tff(c_9588,plain,
! [C_3,A_26] : ( divide(C_3,divide(A_26,A_26)) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_9567,c_282]) ).
tff(c_125,plain,
! [A_9,A_25] : ( divide(A_9,A_9) = divide(A_25,A_25) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_23]) ).
tff(c_11017,plain,
! [A_154,A_155] : ( inverse(divide(A_154,A_154)) = divide(A_155,A_155) ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_10504]) ).
tff(c_11162,plain,
! [A_5,A_154,A_155] : ( multiply(A_5,divide(A_154,A_154)) = divide(A_5,divide(A_155,A_155)) ),
inference(superposition,[status(thm),theory(equality)],[c_11017,c_4]) ).
tff(c_11274,plain,
! [A_156,A_157] : ( multiply(A_156,divide(A_157,A_157)) = A_156 ),
inference(demodulation,[status(thm),theory(equality)],[c_9588,c_11162]) ).
tff(c_11295,plain,
! [A_1,A_157,A_156] : ( divide(divide(A_1,A_1),divide(divide(A_157,A_157),A_156)) = A_156 ),
inference(superposition,[status(thm),theory(equality)],[c_11274,c_9279]) ).
tff(c_11475,plain,
! [A_156] : ( inverse(inverse(A_156)) = A_156 ),
inference(demodulation,[status(thm),theory(equality)],[c_10897,c_4,c_10267,c_11295]) ).
tff(c_14448,plain,
! [B_191,C_192] : ( divide(B_191,multiply(C_192,B_191)) = inverse(C_192) ),
inference(superposition,[status(thm),theory(equality)],[c_11988,c_11475]) ).
tff(c_14472,plain,
! [C_133,C_192,B_191] : ( multiply(divide(C_133,inverse(C_192)),B_191) = multiply(C_133,multiply(C_192,B_191)) ),
inference(superposition,[status(thm),theory(equality)],[c_14448,c_9264]) ).
tff(c_14582,plain,
! [C_133,C_192,B_191] : ( multiply(multiply(C_133,C_192),B_191) = multiply(C_133,multiply(C_192,B_191)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_14472]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_35369,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14582,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP468-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:10:38 EDT 2023
% 0.14/0.37 % CPUTime :
% 15.44/5.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.44/5.75
% 15.44/5.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.44/5.78
% 15.44/5.78 Inference rules
% 15.44/5.78 ----------------------
% 15.44/5.78 #Ref : 0
% 15.44/5.78 #Sup : 10193
% 15.44/5.78 #Fact : 0
% 15.44/5.78 #Define : 0
% 15.44/5.78 #Split : 0
% 15.44/5.78 #Chain : 0
% 15.44/5.78 #Close : 0
% 15.44/5.78
% 15.44/5.78 Ordering : KBO
% 15.44/5.78
% 15.44/5.78 Simplification rules
% 15.44/5.78 ----------------------
% 15.44/5.78 #Subsume : 3682
% 15.44/5.78 #Demod : 10259
% 15.44/5.78 #Tautology : 2397
% 15.44/5.78 #SimpNegUnit : 0
% 15.44/5.78 #BackRed : 49
% 15.44/5.78
% 15.44/5.78 #Partial instantiations: 0
% 15.44/5.78 #Strategies tried : 1
% 15.44/5.78
% 15.44/5.78 Timing (in seconds)
% 15.44/5.78 ----------------------
% 15.44/5.79 Preprocessing : 0.39
% 15.44/5.79 Parsing : 0.21
% 15.44/5.79 CNF conversion : 0.02
% 15.44/5.79 Main loop : 4.25
% 15.44/5.79 Inferencing : 1.02
% 15.44/5.79 Reduction : 2.16
% 15.44/5.79 Demodulation : 1.99
% 15.44/5.79 BG Simplification : 0.16
% 15.44/5.79 Subsumption : 0.53
% 15.44/5.79 Abstraction : 0.20
% 15.44/5.79 MUC search : 0.00
% 15.44/5.79 Cooper : 0.00
% 15.44/5.79 Total : 4.69
% 15.44/5.79 Index Insertion : 0.00
% 15.44/5.79 Index Deletion : 0.00
% 15.44/5.79 Index Matching : 0.00
% 15.44/5.79 BG Taut test : 0.00
%------------------------------------------------------------------------------