TSTP Solution File: GRP586-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP586-1 : 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/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 : 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 10:41:34 EDT 2023
% Result : Unsatisfiable 4.33s 2.10s
% Output : CNFRefutation 4.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 25 unt; 5 typ; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 54 (; 54 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > b2 > a2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(b2,type,
b2: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(a2,type,
a2: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = inverse(double_divide(B,A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file(unknown,unknown) ).
tff(c_4,plain,
! [B_5,A_4] : ( inverse(double_divide(B_5,A_4)) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(A_1,inverse(double_divide(inverse(double_divide(double_divide(A_1,B_2),inverse(C_3))),B_2))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [A_8,B_9,C_10] : ( double_divide(A_8,multiply(B_9,multiply(inverse(C_10),double_divide(A_8,B_9)))) = C_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_26,plain,
! [B_9,C_10,A_8] : ( multiply(multiply(B_9,multiply(inverse(C_10),double_divide(A_8,B_9))),A_8) = inverse(C_10) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_7,plain,
! [A_1,B_2,C_3] : ( double_divide(A_1,multiply(B_2,multiply(inverse(C_3),double_divide(A_1,B_2)))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_90,plain,
! [A_18,B_19,C_20,C_21] : ( double_divide(A_18,multiply(multiply(B_19,multiply(inverse(C_20),double_divide(A_18,B_19))),multiply(inverse(C_21),C_20))) = C_21 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_133,plain,
! [C_22,C_23] : ( double_divide(multiply(inverse(C_22),C_23),inverse(C_23)) = C_22 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_90]) ).
tff(c_306,plain,
! [A_32,B_33,C_34] : ( double_divide(multiply(multiply(A_32,B_33),C_34),inverse(C_34)) = double_divide(B_33,A_32) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_133]) ).
tff(c_324,plain,
! [C_34,A_32,B_33] : ( multiply(inverse(C_34),multiply(multiply(A_32,B_33),C_34)) = inverse(double_divide(B_33,A_32)) ),
inference(superposition,[status(thm),theory(equality)],[c_306,c_4]) ).
tff(c_419,plain,
! [C_38,A_39,B_40] : ( multiply(inverse(C_38),multiply(multiply(A_39,B_40),C_38)) = multiply(A_39,B_40) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_324]) ).
tff(c_163,plain,
! [C_24,C_25] : ( multiply(inverse(C_24),multiply(inverse(C_25),C_24)) = inverse(C_25) ),
inference(superposition,[status(thm),theory(equality)],[c_133,c_4]) ).
tff(c_121,plain,
! [C_21,C_10] : ( double_divide(multiply(inverse(C_21),C_10),inverse(C_10)) = C_21 ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_90]) ).
tff(c_172,plain,
! [C_25,C_24] : ( double_divide(inverse(C_25),inverse(multiply(inverse(C_25),C_24))) = C_24 ),
inference(superposition,[status(thm),theory(equality)],[c_163,c_121]) ).
tff(c_1038,plain,
! [C_58,A_59,B_60] : ( double_divide(inverse(C_58),inverse(multiply(A_59,B_60))) = multiply(multiply(A_59,B_60),C_58) ),
inference(superposition,[status(thm),theory(equality)],[c_419,c_172]) ).
tff(c_1113,plain,
! [C_61,B_62] : ( multiply(multiply(inverse(C_61),B_62),C_61) = B_62 ),
inference(superposition,[status(thm),theory(equality)],[c_1038,c_172]) ).
tff(c_1732,plain,
! [C_77,A_78] : ( multiply(inverse(C_77),double_divide(A_78,inverse(A_78))) = inverse(C_77) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_1113]) ).
tff(c_1054,plain,
! [C_58,B_60] : ( multiply(multiply(inverse(C_58),B_60),C_58) = B_60 ),
inference(superposition,[status(thm),theory(equality)],[c_1038,c_172]) ).
tff(c_1826,plain,
! [C_79,A_80] : ( multiply(inverse(C_79),C_79) = double_divide(A_80,inverse(A_80)) ),
inference(superposition,[status(thm),theory(equality)],[c_1732,c_1054]) ).
tff(c_1867,plain,
! [A_80,C_79] : ( multiply(double_divide(A_80,inverse(A_80)),C_79) = C_79 ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_1054]) ).
tff(c_6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_1937,plain,
! [A_80] : ( multiply(double_divide(A_80,inverse(A_80)),a2) != a2 ),
inference(superposition,[status(thm),theory(equality)],[c_1826,c_6]) ).
tff(c_2036,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1867,c_1937]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.16 % 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
% 0.16/0.38 % Computer : n003.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Thu Aug 3 22:15:08 EDT 2023
% 0.16/0.38 % CPUTime :
% 4.33/2.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.33/2.11
% 4.33/2.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.47/2.13
% 4.47/2.13 Inference rules
% 4.47/2.13 ----------------------
% 4.47/2.13 #Ref : 0
% 4.47/2.13 #Sup : 552
% 4.47/2.13 #Fact : 0
% 4.47/2.13 #Define : 0
% 4.47/2.13 #Split : 0
% 4.47/2.13 #Chain : 0
% 4.47/2.13 #Close : 0
% 4.47/2.13
% 4.47/2.13 Ordering : KBO
% 4.47/2.13
% 4.47/2.13 Simplification rules
% 4.47/2.13 ----------------------
% 4.47/2.13 #Subsume : 1
% 4.47/2.13 #Demod : 356
% 4.47/2.13 #Tautology : 242
% 4.47/2.13 #SimpNegUnit : 0
% 4.47/2.13 #BackRed : 0
% 4.47/2.13
% 4.47/2.13 #Partial instantiations: 0
% 4.47/2.13 #Strategies tried : 1
% 4.47/2.13
% 4.47/2.13 Timing (in seconds)
% 4.47/2.13 ----------------------
% 4.47/2.14 Preprocessing : 0.38
% 4.47/2.14 Parsing : 0.21
% 4.47/2.14 CNF conversion : 0.02
% 4.47/2.14 Main loop : 0.68
% 4.47/2.14 Inferencing : 0.28
% 4.47/2.14 Reduction : 0.21
% 4.47/2.14 Demodulation : 0.17
% 4.47/2.14 BG Simplification : 0.04
% 4.47/2.14 Subsumption : 0.10
% 4.47/2.14 Abstraction : 0.05
% 4.47/2.14 MUC search : 0.00
% 4.47/2.14 Cooper : 0.00
% 4.47/2.14 Total : 1.10
% 4.47/2.14 Index Insertion : 0.00
% 4.47/2.14 Index Deletion : 0.00
% 4.47/2.14 Index Matching : 0.00
% 4.47/2.14 BG Taut test : 0.00
%------------------------------------------------------------------------------