TSTP Solution File: GRP584-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP584-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n032.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 5.48s 2.45s
% Output : CNFRefutation 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 57 unt; 6 typ; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 84 (; 84 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(identity,type,
identity: $i ).
tff(f_30,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_26,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C ),
file(unknown,unknown) ).
tff(f_32,axiom,
multiply(a,b) != multiply(b,a),
file(unknown,unknown) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_28,plain,
! [B_10,A_11] : ( double_divide(double_divide(B_10,A_11),identity) = multiply(A_11,B_10) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_52,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = double_divide(identity,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).
tff(c_57,plain,
! [A_7] : ( multiply(inverse(A_7),A_7) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).
tff(c_49,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(identity,B_2),double_divide(C_3,double_divide(B_2,A_1)))),double_divide(identity,identity)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_65,plain,
! [A_13,B_14,C_15] : ( double_divide(double_divide(A_13,double_divide(double_divide(identity,B_14),double_divide(C_15,double_divide(B_14,A_13)))),inverse(identity)) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2]) ).
tff(c_551,plain,
! [A_33,C_34] : ( double_divide(double_divide(identity,double_divide(double_divide(identity,A_33),double_divide(C_34,inverse(A_33)))),inverse(identity)) = C_34 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_610,plain,
! [A_7] : ( double_divide(double_divide(identity,double_divide(double_divide(identity,A_7),identity)),inverse(identity)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_551]) ).
tff(c_622,plain,
! [A_35] : ( double_divide(double_divide(identity,multiply(A_35,identity)),inverse(identity)) = A_35 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_610]) ).
tff(c_656,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm),theory(equality)],[c_57,c_622]) ).
tff(c_661,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_8,c_656]) ).
tff(c_621,plain,
! [A_7] : ( double_divide(double_divide(identity,multiply(A_7,identity)),inverse(identity)) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_610]) ).
tff(c_849,plain,
! [A_41] : ( double_divide(double_divide(identity,multiply(A_41,identity)),identity) = A_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_661,c_621]) ).
tff(c_4,plain,
! [B_5,A_4] : ( double_divide(double_divide(B_5,A_4),identity) = multiply(A_4,B_5) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_867,plain,
! [A_41] : ( multiply(multiply(A_41,identity),identity) = A_41 ),
inference(superposition,[status(thm),theory(equality)],[c_849,c_4]) ).
tff(c_102,plain,
! [B_16,A_17] : ( inverse(double_divide(B_16,A_17)) = multiply(A_17,B_16) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_108,plain,
! [A_17,B_16] : ( multiply(multiply(A_17,B_16),double_divide(B_16,A_17)) = inverse(identity) ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_57]) ).
tff(c_1144,plain,
! [A_46,B_47] : ( multiply(multiply(A_46,B_47),double_divide(B_47,A_46)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_661,c_108]) ).
tff(c_1166,plain,
! [A_41] : ( multiply(A_41,double_divide(identity,multiply(A_41,identity))) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_867,c_1144]) ).
tff(c_945,plain,
! [A_43] : ( inverse(double_divide(identity,multiply(A_43,identity))) = A_43 ),
inference(superposition,[status(thm),theory(equality)],[c_849,c_6]) ).
tff(c_975,plain,
! [A_43] : ( double_divide(double_divide(identity,multiply(A_43,identity)),A_43) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_945,c_8]) ).
tff(c_31,plain,
! [B_10,A_11] : ( multiply(identity,double_divide(B_10,A_11)) = double_divide(multiply(A_11,B_10),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_4]) ).
tff(c_53,plain,
! [B_10,A_11] : ( multiply(identity,double_divide(B_10,A_11)) = inverse(multiply(A_11,B_10)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_31]) ).
tff(c_74,plain,
! [A_13,B_14,C_15] : ( multiply(inverse(identity),double_divide(A_13,double_divide(double_divide(identity,B_14),double_divide(C_15,double_divide(B_14,A_13))))) = double_divide(C_15,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_65,c_4]) ).
tff(c_99,plain,
! [A_13,B_14,C_15] : ( multiply(inverse(identity),double_divide(A_13,double_divide(double_divide(identity,B_14),double_divide(C_15,double_divide(B_14,A_13))))) = inverse(C_15) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_74]) ).
tff(c_1228,plain,
! [B_48,C_49,A_50] : ( inverse(multiply(double_divide(double_divide(identity,B_48),double_divide(C_49,double_divide(B_48,A_50))),A_50)) = inverse(C_49) ),
inference(demodulation,[status(thm),theory(equality)],[c_53,c_661,c_99]) ).
tff(c_1265,plain,
! [B_48,A_50] : ( inverse(multiply(double_divide(double_divide(identity,B_48),identity),A_50)) = inverse(double_divide(identity,multiply(double_divide(B_48,A_50),identity))) ),
inference(superposition,[status(thm),theory(equality)],[c_975,c_1228]) ).
tff(c_2820,plain,
! [B_76,A_77] : ( inverse(multiply(multiply(B_76,identity),A_77)) = double_divide(B_76,A_77) ),
inference(demodulation,[status(thm),theory(equality)],[c_867,c_49,c_49,c_6,c_1265]) ).
tff(c_2885,plain,
! [B_76] : ( double_divide(B_76,double_divide(identity,multiply(multiply(B_76,identity),identity))) = inverse(identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1166,c_2820]) ).
tff(c_3094,plain,
! [B_80] : ( double_divide(B_80,double_divide(identity,B_80)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_867,c_661,c_2885]) ).
tff(c_94,plain,
! [A_13,C_15] : ( double_divide(double_divide(A_13,double_divide(identity,double_divide(C_15,double_divide(inverse(identity),A_13)))),inverse(identity)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_791,plain,
! [C_15,A_13] : ( multiply(double_divide(identity,double_divide(C_15,double_divide(identity,A_13))),A_13) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_661,c_661,c_94]) ).
tff(c_3181,plain,
! [B_80] : ( multiply(double_divide(identity,identity),B_80) = B_80 ),
inference(superposition,[status(thm),theory(equality)],[c_3094,c_791]) ).
tff(c_3240,plain,
! [B_80] : ( multiply(identity,B_80) = B_80 ),
inference(demodulation,[status(thm),theory(equality)],[c_661,c_6,c_3181]) ).
tff(c_123,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_102]) ).
tff(c_97,plain,
! [A_7,C_15] : ( double_divide(double_divide(inverse(A_7),double_divide(double_divide(identity,A_7),double_divide(C_15,identity))),inverse(identity)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_426,plain,
! [A_29,C_30] : ( double_divide(double_divide(inverse(A_29),double_divide(double_divide(identity,A_29),inverse(C_30))),inverse(identity)) = C_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_97]) ).
tff(c_478,plain,
! [A_29] : ( double_divide(double_divide(inverse(A_29),identity),inverse(identity)) = double_divide(identity,A_29) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_426]) ).
tff(c_485,plain,
! [A_31] : ( double_divide(multiply(identity,A_31),inverse(identity)) = double_divide(identity,A_31) ),
inference(demodulation,[status(thm),theory(equality)],[c_123,c_6,c_478]) ).
tff(c_500,plain,
! [A_31] : ( multiply(inverse(identity),multiply(identity,A_31)) = inverse(double_divide(identity,A_31)) ),
inference(superposition,[status(thm),theory(equality)],[c_485,c_49]) ).
tff(c_518,plain,
! [A_31] : ( multiply(inverse(identity),multiply(identity,A_31)) = multiply(A_31,identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_500]) ).
tff(c_664,plain,
! [A_31] : ( multiply(identity,multiply(identity,A_31)) = multiply(A_31,identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_661,c_518]) ).
tff(c_3255,plain,
! [A_31] : ( multiply(A_31,identity) = A_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_3240,c_3240,c_664]) ).
tff(c_1314,plain,
! [B_48,A_50] : ( inverse(multiply(multiply(B_48,identity),A_50)) = double_divide(B_48,A_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_867,c_49,c_49,c_6,c_1265]) ).
tff(c_4703,plain,
! [B_113,A_114] : ( inverse(multiply(B_113,A_114)) = double_divide(B_113,A_114) ),
inference(demodulation,[status(thm),theory(equality)],[c_3255,c_1314]) ).
tff(c_3261,plain,
! [A_6] : ( inverse(inverse(A_6)) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_3240,c_123]) ).
tff(c_5986,plain,
! [B_132,A_133] : ( inverse(double_divide(B_132,A_133)) = multiply(B_132,A_133) ),
inference(superposition,[status(thm),theory(equality)],[c_4703,c_3261]) ).
tff(c_6028,plain,
! [B_132,A_133] : ( multiply(B_132,A_133) = multiply(A_133,B_132) ),
inference(superposition,[status(thm),theory(equality)],[c_5986,c_49]) ).
tff(c_10,plain,
multiply(b,a) != multiply(a,b),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_6121,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6028,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP584-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.12 % 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
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 3 22:08:51 EDT 2023
% 0.12/0.32 % CPUTime :
% 5.48/2.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.48/2.46
% 5.48/2.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.73/2.49
% 5.73/2.49 Inference rules
% 5.73/2.49 ----------------------
% 5.73/2.49 #Ref : 0
% 5.73/2.49 #Sup : 1528
% 5.73/2.49 #Fact : 0
% 5.73/2.49 #Define : 0
% 5.73/2.49 #Split : 0
% 5.73/2.49 #Chain : 0
% 5.73/2.49 #Close : 0
% 5.73/2.49
% 5.73/2.49 Ordering : KBO
% 5.73/2.49
% 5.73/2.49 Simplification rules
% 5.73/2.49 ----------------------
% 5.73/2.49 #Subsume : 6
% 5.73/2.49 #Demod : 2190
% 5.73/2.49 #Tautology : 929
% 5.73/2.49 #SimpNegUnit : 0
% 5.73/2.49 #BackRed : 42
% 5.73/2.49
% 5.73/2.49 #Partial instantiations: 0
% 5.73/2.49 #Strategies tried : 1
% 5.73/2.49
% 5.73/2.49 Timing (in seconds)
% 5.73/2.49 ----------------------
% 5.73/2.49 Preprocessing : 0.42
% 5.73/2.49 Parsing : 0.22
% 5.73/2.49 CNF conversion : 0.02
% 5.73/2.49 Main loop : 0.98
% 5.73/2.49 Inferencing : 0.33
% 5.73/2.49 Reduction : 0.40
% 5.73/2.49 Demodulation : 0.32
% 5.73/2.49 BG Simplification : 0.04
% 5.73/2.49 Subsumption : 0.14
% 5.73/2.49 Abstraction : 0.06
% 5.73/2.49 MUC search : 0.00
% 5.73/2.49 Cooper : 0.00
% 5.73/2.49 Total : 1.46
% 5.73/2.49 Index Insertion : 0.00
% 5.73/2.49 Index Deletion : 0.00
% 5.73/2.49 Index Matching : 0.00
% 5.73/2.49 BG Taut test : 0.00
%------------------------------------------------------------------------------