TSTP Solution File: GRP483-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP483-1 : 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 : n023.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 10:41:20 EDT 2023
% Result : Unsatisfiable 9.06s 3.51s
% Output : CNFRefutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 68 ( 61 unt; 7 typ; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 108 (; 108 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > identity > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(identity,type,
identity: $i ).
tff(f_26,axiom,
! [A,B] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
file(unknown,unknown) ).
tff(f_28,axiom,
! [A] : ( inverse(A) = double_divide(A,identity) ),
file(unknown,unknown) ).
tff(f_30,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C,D] : ( double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = C ),
file(unknown,unknown) ).
tff(f_32,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_28,plain,
! [B_11,A_12] : ( double_divide(double_divide(B_11,A_12),identity) = multiply(A_12,B_11) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_6,plain,
! [A_7] : ( double_divide(A_7,identity) = inverse(A_7) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_37,plain,
! [B_11,A_12] : ( inverse(double_divide(B_11,A_12)) = multiply(A_12,B_11) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_8,plain,
! [A_8] : ( double_divide(A_8,inverse(A_8)) = identity ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_52,plain,
! [A_8] : ( multiply(inverse(A_8),A_8) = double_divide(identity,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_28]) ).
tff(c_57,plain,
! [A_8] : ( multiply(inverse(A_8),A_8) = inverse(identity) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_52]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( double_divide(double_divide(double_divide(A_1,double_divide(B_2,identity)),double_divide(double_divide(C_3,double_divide(D_4,double_divide(D_4,identity))),double_divide(A_1,identity))),B_2) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_236,plain,
! [A_22,B_23,C_24] : ( double_divide(double_divide(double_divide(A_22,inverse(B_23)),double_divide(inverse(C_24),inverse(A_22))),B_23) = C_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_8,c_6,c_6,c_2]) ).
tff(c_300,plain,
! [C_24,B_23] : ( double_divide(double_divide(double_divide(inverse(C_24),inverse(B_23)),identity),B_23) = C_24 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_236]) ).
tff(c_307,plain,
! [B_25,C_26] : ( double_divide(multiply(inverse(B_25),inverse(C_26)),B_25) = C_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_300]) ).
tff(c_355,plain,
! [C_27] : ( double_divide(inverse(identity),inverse(C_27)) = C_27 ),
inference(superposition,[status(thm),theory(equality)],[c_57,c_307]) ).
tff(c_377,plain,
inverse(identity) = identity,
inference(superposition,[status(thm),theory(equality)],[c_355,c_8]) ).
tff(c_346,plain,
! [C_26] : ( double_divide(inverse(identity),inverse(C_26)) = C_26 ),
inference(superposition,[status(thm),theory(equality)],[c_57,c_307]) ).
tff(c_474,plain,
! [C_28] : ( double_divide(identity,inverse(C_28)) = C_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_377,c_346]) ).
tff(c_486,plain,
! [C_28] : ( multiply(inverse(C_28),identity) = inverse(C_28) ),
inference(superposition,[status(thm),theory(equality)],[c_474,c_37]) ).
tff(c_306,plain,
! [B_23,C_24] : ( double_divide(multiply(inverse(B_23),inverse(C_24)),B_23) = C_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_6,c_300]) ).
tff(c_403,plain,
! [B_23] : ( double_divide(multiply(inverse(B_23),identity),B_23) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_377,c_306]) ).
tff(c_754,plain,
! [B_36] : ( double_divide(inverse(B_36),B_36) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_403]) ).
tff(c_777,plain,
! [B_36] : ( multiply(B_36,inverse(B_36)) = inverse(identity) ),
inference(superposition,[status(thm),theory(equality)],[c_754,c_37]) ).
tff(c_816,plain,
! [B_37] : ( multiply(B_37,inverse(B_37)) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_377,c_777]) ).
tff(c_872,plain,
! [B_38] : ( double_divide(identity,B_38) = inverse(B_38) ),
inference(superposition,[status(thm),theory(equality)],[c_816,c_306]) ).
tff(c_395,plain,
! [C_26] : ( double_divide(identity,inverse(C_26)) = C_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_377,c_346]) ).
tff(c_884,plain,
! [C_26] : ( inverse(inverse(C_26)) = C_26 ),
inference(superposition,[status(thm),theory(equality)],[c_872,c_395]) ).
tff(c_4,plain,
! [B_6,A_5] : ( double_divide(double_divide(B_6,A_5),identity) = multiply(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_256,plain,
! [C_24,A_22] : ( multiply(double_divide(inverse(C_24),inverse(A_22)),double_divide(A_22,inverse(identity))) = C_24 ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_4]) ).
tff(c_1145,plain,
! [C_43,A_44] : ( multiply(double_divide(inverse(C_43),inverse(A_44)),inverse(A_44)) = C_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_377,c_256]) ).
tff(c_1163,plain,
! [C_43,C_26] : ( multiply(double_divide(inverse(C_43),inverse(inverse(C_26))),C_26) = C_43 ),
inference(superposition,[status(thm),theory(equality)],[c_884,c_1145]) ).
tff(c_1193,plain,
! [C_43,C_26] : ( multiply(double_divide(inverse(C_43),C_26),C_26) = C_43 ),
inference(demodulation,[status(thm),theory(equality)],[c_884,c_1163]) ).
tff(c_753,plain,
! [B_23] : ( double_divide(inverse(B_23),B_23) = identity ),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_403]) ).
tff(c_252,plain,
! [B_23,A_22,C_24] : ( multiply(B_23,double_divide(double_divide(A_22,inverse(B_23)),double_divide(inverse(C_24),inverse(A_22)))) = double_divide(C_24,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_236,c_4]) ).
tff(c_1984,plain,
! [B_63,A_64,C_65] : ( multiply(B_63,double_divide(double_divide(A_64,inverse(B_63)),double_divide(inverse(C_65),inverse(A_64)))) = inverse(C_65) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_252]) ).
tff(c_2044,plain,
! [B_63,A_64] : ( multiply(B_63,double_divide(double_divide(A_64,inverse(B_63)),identity)) = inverse(inverse(A_64)) ),
inference(superposition,[status(thm),theory(equality)],[c_753,c_1984]) ).
tff(c_2104,plain,
! [B_66,A_67] : ( multiply(B_66,multiply(inverse(B_66),A_67)) = A_67 ),
inference(demodulation,[status(thm),theory(equality)],[c_884,c_37,c_6,c_2044]) ).
tff(c_2186,plain,
! [C_68,A_69] : ( multiply(inverse(C_68),multiply(C_68,A_69)) = A_69 ),
inference(superposition,[status(thm),theory(equality)],[c_884,c_2104]) ).
tff(c_2231,plain,
! [C_43,C_26] : ( multiply(inverse(double_divide(inverse(C_43),C_26)),C_43) = C_26 ),
inference(superposition,[status(thm),theory(equality)],[c_1193,c_2186]) ).
tff(c_2271,plain,
! [C_70,C_71] : ( multiply(multiply(C_70,inverse(C_71)),C_71) = C_70 ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_2231]) ).
tff(c_2312,plain,
! [C_43,C_71] : ( double_divide(inverse(C_43),inverse(C_71)) = multiply(C_43,C_71) ),
inference(superposition,[status(thm),theory(equality)],[c_1193,c_2271]) ).
tff(c_2326,plain,
! [C_70,C_26] : ( multiply(multiply(C_70,C_26),inverse(C_26)) = C_70 ),
inference(superposition,[status(thm),theory(equality)],[c_884,c_2271]) ).
tff(c_65,plain,
! [B_14,A_15] : ( inverse(double_divide(B_14,A_15)) = multiply(A_15,B_14) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).
tff(c_83,plain,
! [A_7] : ( inverse(inverse(A_7)) = multiply(identity,A_7) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_938,plain,
! [A_7] : ( multiply(identity,A_7) = A_7 ),
inference(demodulation,[status(thm),theory(equality)],[c_884,c_83]) ).
tff(c_31,plain,
! [B_11,A_12] : ( multiply(identity,double_divide(B_11,A_12)) = double_divide(multiply(A_12,B_11),identity) ),
inference(superposition,[status(thm),theory(equality)],[c_28,c_4]) ).
tff(c_53,plain,
! [B_11,A_12] : ( multiply(identity,double_divide(B_11,A_12)) = inverse(multiply(A_12,B_11)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_31]) ).
tff(c_1023,plain,
! [A_12,B_11] : ( inverse(multiply(A_12,B_11)) = double_divide(B_11,A_12) ),
inference(demodulation,[status(thm),theory(equality)],[c_938,c_53]) ).
tff(c_11,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(double_divide(A_1,inverse(B_2)),double_divide(inverse(C_3),inverse(A_1))),B_2) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_8,c_6,c_6,c_2]) ).
tff(c_543,plain,
! [B_30,A_31] : ( multiply(identity,double_divide(B_30,A_31)) = inverse(multiply(A_31,B_30)) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_31]) ).
tff(c_567,plain,
! [B_2,A_1,C_3] : ( inverse(multiply(B_2,double_divide(double_divide(A_1,inverse(B_2)),double_divide(inverse(C_3),inverse(A_1))))) = multiply(identity,C_3) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_543]) ).
tff(c_5118,plain,
! [A_114,B_115,C_116] : ( double_divide(double_divide(double_divide(A_114,inverse(B_115)),multiply(C_116,A_114)),B_115) = C_116 ),
inference(demodulation,[status(thm),theory(equality)],[c_1023,c_2312,c_938,c_567]) ).
tff(c_5219,plain,
! [C_26,B_115,C_70] : ( double_divide(double_divide(double_divide(inverse(C_26),inverse(B_115)),C_70),B_115) = multiply(C_70,C_26) ),
inference(superposition,[status(thm),theory(equality)],[c_2326,c_5118]) ).
tff(c_13530,plain,
! [C_199,B_200,C_201] : ( double_divide(double_divide(multiply(C_199,B_200),C_201),B_200) = multiply(C_201,C_199) ),
inference(demodulation,[status(thm),theory(equality)],[c_2312,c_5219]) ).
tff(c_1379,plain,
! [C_49,C_50] : ( multiply(double_divide(inverse(C_49),C_50),C_50) = C_49 ),
inference(demodulation,[status(thm),theory(equality)],[c_884,c_1163]) ).
tff(c_1411,plain,
! [C_26,C_50] : ( multiply(double_divide(C_26,C_50),C_50) = inverse(C_26) ),
inference(superposition,[status(thm),theory(equality)],[c_884,c_1379]) ).
tff(c_13684,plain,
! [C_199,B_200,C_201] : ( inverse(double_divide(multiply(C_199,B_200),C_201)) = multiply(multiply(C_201,C_199),B_200) ),
inference(superposition,[status(thm),theory(equality)],[c_13530,c_1411]) ).
tff(c_13873,plain,
! [C_201,C_199,B_200] : ( multiply(multiply(C_201,C_199),B_200) = multiply(C_201,multiply(C_199,B_200)) ),
inference(demodulation,[status(thm),theory(equality)],[c_37,c_13684]) ).
tff(c_10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_15052,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13873,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP483-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % 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
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 22:39:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 9.06/3.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.06/3.51
% 9.06/3.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.25/3.55
% 9.25/3.55 Inference rules
% 9.25/3.55 ----------------------
% 9.25/3.55 #Ref : 0
% 9.25/3.55 #Sup : 3803
% 9.25/3.55 #Fact : 0
% 9.25/3.55 #Define : 0
% 9.25/3.55 #Split : 0
% 9.25/3.55 #Chain : 0
% 9.25/3.55 #Close : 0
% 9.25/3.55
% 9.25/3.55 Ordering : KBO
% 9.25/3.55
% 9.25/3.55 Simplification rules
% 9.25/3.55 ----------------------
% 9.25/3.55 #Subsume : 0
% 9.25/3.55 #Demod : 5919
% 9.25/3.55 #Tautology : 2197
% 9.25/3.55 #SimpNegUnit : 0
% 9.25/3.55 #BackRed : 22
% 9.25/3.55
% 9.25/3.55 #Partial instantiations: 0
% 9.25/3.55 #Strategies tried : 1
% 9.25/3.55
% 9.25/3.55 Timing (in seconds)
% 9.25/3.55 ----------------------
% 9.25/3.55 Preprocessing : 0.41
% 9.25/3.55 Parsing : 0.22
% 9.25/3.55 CNF conversion : 0.02
% 9.25/3.55 Main loop : 1.97
% 9.25/3.55 Inferencing : 0.62
% 9.25/3.55 Reduction : 0.90
% 9.25/3.55 Demodulation : 0.77
% 9.25/3.55 BG Simplification : 0.08
% 9.25/3.55 Subsumption : 0.25
% 9.25/3.55 Abstraction : 0.13
% 9.25/3.55 MUC search : 0.00
% 9.25/3.55 Cooper : 0.00
% 9.25/3.55 Total : 2.44
% 9.25/3.55 Index Insertion : 0.00
% 9.25/3.55 Index Deletion : 0.00
% 9.25/3.55 Index Matching : 0.00
% 9.25/3.55 BG Taut test : 0.00
%------------------------------------------------------------------------------