TSTP Solution File: GRP497-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP497-1 : 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 : n004.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 10:41:22 EDT 2023
% Result : Unsatisfiable 5.87s 2.61s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 63 ( 58 unt; 5 typ; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 74 (; 74 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > a2
%Foreground sorts:
%Background operators:
%Foreground operators:
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(identity,type,
identity: $i ).
tff(f_27,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C] : ( double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),double_divide(double_divide(B,double_divide(C,A)),identity)) = C ),
file(unknown,unknown) ).
tff(f_31,axiom,
multiply(identity,a2) != a2,
file(unknown,unknown) ).
tff(c_6,plain,
! [A_6] : ( double_divide(A_6,identity) = inverse(A_6) ),
inference(cnfTransformation,[status(thm)],[f_27]) ).
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_25]) ).
tff(c_220,plain,
! [A_20] : ( double_divide(inverse(A_20),identity) = multiply(identity,A_20) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
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_25]) ).
tff(c_229,plain,
! [A_20] : ( multiply(identity,inverse(A_20)) = double_divide(multiply(identity,A_20),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_220,c_4]) ).
tff(c_249,plain,
! [A_20] : ( multiply(identity,inverse(A_20)) = inverse(multiply(identity,A_20)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_229]) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_37,plain,
! [B_10,A_11] : ( inverse(double_divide(B_10,A_11)) = multiply(A_11,B_10) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(identity,double_divide(A_1,double_divide(B_2,identity))),double_divide(double_divide(B_2,double_divide(C_3,A_1)),identity)) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_65,plain,
! [A_13,B_14,C_15] : ( double_divide(double_divide(identity,double_divide(A_13,inverse(B_14))),inverse(double_divide(B_14,double_divide(C_15,A_13)))) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_81,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_65,c_8]) ).
tff(c_99,plain,
! [A_7,C_15] : ( double_divide(double_divide(identity,identity),inverse(double_divide(A_7,double_divide(C_15,A_7)))) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_110,plain,
! [A_7,C_15] : ( double_divide(inverse(identity),inverse(double_divide(A_7,double_divide(C_15,A_7)))) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_99]) ).
tff(c_522,plain,
! [C_30,A_31] : ( double_divide(identity,multiply(double_divide(C_30,A_31),A_31)) = C_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_81,c_110]) ).
tff(c_570,plain,
! [A_7] : ( double_divide(identity,multiply(identity,inverse(A_7))) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_522]) ).
tff(c_619,plain,
! [A_33] : ( double_divide(identity,inverse(multiply(identity,A_33))) = A_33 ),
inference(demodulation,[status(thm),theory(equality)],[c_249,c_570]) ).
tff(c_640,plain,
! [A_33] : ( multiply(inverse(multiply(identity,A_33)),identity) = double_divide(A_33,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_619,c_4]) ).
tff(c_755,plain,
! [A_37] : ( multiply(inverse(multiply(identity,A_37)),identity) = inverse(A_37) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_640]) ).
tff(c_567,plain,
! [A_6] : ( double_divide(identity,multiply(inverse(A_6),identity)) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_522]) ).
tff(c_794,plain,
! [A_38] : ( double_divide(identity,inverse(A_38)) = multiply(identity,A_38) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_567]) ).
tff(c_575,plain,
! [A_7] : ( double_divide(identity,inverse(multiply(identity,A_7))) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_249,c_570]) ).
tff(c_800,plain,
! [A_7] : ( multiply(identity,multiply(identity,A_7)) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_794,c_575]) ).
tff(c_146,plain,
! [B_16,A_17] : ( inverse(double_divide(B_16,A_17)) = multiply(A_17,B_16) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_164,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_146]) ).
tff(c_119,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_81,c_8]) ).
tff(c_131,plain,
multiply(identity,identity) = double_divide(identity,identity),
inference(superposition,[status(thm),theory(equality)],[c_119,c_4]) ).
tff(c_141,plain,
multiply(identity,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_81,c_6,c_131]) ).
tff(c_102,plain,
! [A_7,B_14] : ( double_divide(double_divide(identity,double_divide(inverse(A_7),inverse(B_14))),inverse(double_divide(B_14,identity))) = A_7 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_111,plain,
! [A_7,B_14] : ( double_divide(double_divide(identity,double_divide(inverse(A_7),inverse(B_14))),inverse(inverse(B_14))) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_102]) ).
tff(c_983,plain,
! [A_41,B_42] : ( double_divide(double_divide(identity,double_divide(inverse(A_41),inverse(B_42))),multiply(identity,B_42)) = A_41 ),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_111]) ).
tff(c_1041,plain,
! [A_41] : ( double_divide(double_divide(identity,double_divide(inverse(A_41),identity)),multiply(identity,identity)) = A_41 ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_983]) ).
tff(c_1058,plain,
! [A_43] : ( multiply(multiply(identity,A_43),identity) = A_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_37,c_6,c_141,c_6,c_1041]) ).
tff(c_564,plain,
! [A_4,B_5] : ( double_divide(identity,multiply(multiply(A_4,B_5),identity)) = double_divide(B_5,A_4) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_522]) ).
tff(c_1067,plain,
! [A_43] : ( double_divide(identity,A_43) = double_divide(A_43,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1058,c_564]) ).
tff(c_1094,plain,
! [A_43] : ( double_divide(identity,A_43) = inverse(A_43) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1067]) ).
tff(c_767,plain,
! [A_37] : ( double_divide(identity,inverse(A_37)) = multiply(identity,A_37) ),
inference(superposition,[status(thm),theory(equality)],[c_755,c_567]) ).
tff(c_96,plain,
! [B_14,A_6] : ( double_divide(double_divide(identity,double_divide(identity,inverse(B_14))),inverse(double_divide(B_14,inverse(A_6)))) = A_6 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_1493,plain,
! [B_49,A_50] : ( double_divide(inverse(multiply(identity,B_49)),multiply(inverse(A_50),B_49)) = A_50 ),
inference(demodulation,[status(thm),theory(equality)],[c_1094,c_767,c_37,c_96]) ).
tff(c_1546,plain,
! [A_20,A_50] : ( double_divide(inverse(inverse(multiply(identity,A_20))),multiply(inverse(A_50),inverse(A_20))) = A_50 ),
inference(superposition,[status(thm),theory(equality)],[c_249,c_1493]) ).
tff(c_4257,plain,
! [A_86,A_87] : ( double_divide(A_86,multiply(inverse(A_87),inverse(A_86))) = A_87 ),
inference(demodulation,[status(thm),theory(equality)],[c_800,c_164,c_1546]) ).
tff(c_4361,plain,
! [A_86] : ( double_divide(A_86,multiply(identity,inverse(A_86))) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_81,c_4257]) ).
tff(c_4518,plain,
! [A_90] : ( double_divide(A_90,inverse(multiply(identity,A_90))) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_249,c_4361]) ).
tff(c_521,plain,
! [C_15,A_7] : ( double_divide(identity,multiply(double_divide(C_15,A_7),A_7)) = C_15 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_81,c_110]) ).
tff(c_1101,plain,
! [A_44] : ( double_divide(identity,A_44) = inverse(A_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1067]) ).
tff(c_1166,plain,
! [C_15,A_7] : ( inverse(multiply(double_divide(C_15,A_7),A_7)) = C_15 ),
inference(superposition,[status(thm),theory(equality)],[c_521,c_1101]) ).
tff(c_4540,plain,
! [A_90] : ( inverse(multiply(identity,inverse(multiply(identity,A_90)))) = A_90 ),
inference(superposition,[status(thm),theory(equality)],[c_4518,c_1166]) ).
tff(c_4630,plain,
! [A_90] : ( multiply(identity,A_90) = A_90 ),
inference(demodulation,[status(thm),theory(equality)],[c_800,c_164,c_249,c_4540]) ).
tff(c_1401,plain,
! [A_48] : ( inverse(inverse(A_48)) = multiply(A_48,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1101,c_37]) ).
tff(c_1443,plain,
! [A_48] : ( multiply(identity,A_48) = multiply(A_48,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_1401,c_164]) ).
tff(c_4655,plain,
! [A_48] : ( multiply(A_48,identity) = A_48 ),
inference(demodulation,[status(thm),theory(equality)],[c_4630,c_1443]) ).
tff(c_10,plain,
multiply(identity,a2) != a2,
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_1716,plain,
multiply(a2,identity) != a2,
inference(demodulation,[status(thm),theory(equality)],[c_1443,c_10]) ).
tff(c_4769,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4655,c_1716]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP497-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:15:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.87/2.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.87/2.62
% 5.87/2.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.23/2.65
% 6.23/2.65 Inference rules
% 6.23/2.65 ----------------------
% 6.23/2.65 #Ref : 0
% 6.23/2.65 #Sup : 1207
% 6.23/2.65 #Fact : 0
% 6.23/2.65 #Define : 0
% 6.23/2.65 #Split : 0
% 6.23/2.65 #Chain : 0
% 6.23/2.65 #Close : 0
% 6.23/2.65
% 6.23/2.65 Ordering : KBO
% 6.23/2.65
% 6.23/2.65 Simplification rules
% 6.23/2.65 ----------------------
% 6.23/2.65 #Subsume : 13
% 6.23/2.65 #Demod : 1556
% 6.23/2.65 #Tautology : 626
% 6.23/2.65 #SimpNegUnit : 0
% 6.23/2.65 #BackRed : 38
% 6.23/2.65
% 6.23/2.65 #Partial instantiations: 0
% 6.23/2.65 #Strategies tried : 1
% 6.23/2.65
% 6.23/2.65 Timing (in seconds)
% 6.23/2.65 ----------------------
% 6.23/2.66 Preprocessing : 0.43
% 6.23/2.66 Parsing : 0.22
% 6.23/2.66 CNF conversion : 0.02
% 6.23/2.66 Main loop : 1.09
% 6.23/2.66 Inferencing : 0.33
% 6.23/2.66 Reduction : 0.45
% 6.23/2.66 Demodulation : 0.37
% 6.23/2.66 BG Simplification : 0.04
% 6.23/2.66 Subsumption : 0.19
% 6.23/2.66 Abstraction : 0.06
% 6.23/2.66 MUC search : 0.00
% 6.23/2.66 Cooper : 0.00
% 6.23/2.66 Total : 1.57
% 6.23/2.66 Index Insertion : 0.00
% 6.23/2.66 Index Deletion : 0.00
% 6.23/2.66 Index Matching : 0.00
% 6.23/2.66 BG Taut test : 0.00
%------------------------------------------------------------------------------