TSTP Solution File: GRP572-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP572-1 : 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/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 10:41:33 EDT 2023
% Result : Unsatisfiable 4.79s 2.24s
% Output : CNFRefutation 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 61 unt; 6 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 : 4 ( 3 avg)
% Maximal term depth : 6 ( 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 : 98 (; 98 !; 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_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_30,axiom,
! [A] : ( identity = double_divide(A,inverse(A)) ),
file(unknown,unknown) ).
tff(f_24,axiom,
! [A,B,C] : ( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ),
file(unknown,unknown) ).
tff(f_32,axiom,
multiply(a,b) != multiply(b,a),
file(unknown,unknown) ).
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_94,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_125,plain,
! [A_18] : ( inverse(inverse(A_18)) = multiply(identity,A_18) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_94]) ).
tff(c_8,plain,
! [A_7] : ( double_divide(A_7,inverse(A_7)) = identity ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_140,plain,
! [A_18] : ( double_divide(inverse(A_18),multiply(identity,A_18)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_125,c_8]) ).
tff(c_118,plain,
! [A_6] : ( inverse(inverse(A_6)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_94]) ).
tff(c_2,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(B_2,double_divide(A_1,C_3)),double_divide(C_3,identity))),double_divide(identity,identity)) = B_2 ),
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(B_14,double_divide(A_13,C_15)),inverse(C_15))),inverse(identity)) = B_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_89,plain,
! [A_7,B_14] : ( double_divide(double_divide(A_7,double_divide(double_divide(B_14,identity),inverse(inverse(A_7)))),inverse(identity)) = B_14 ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_65]) ).
tff(c_93,plain,
! [A_7,B_14] : ( double_divide(double_divide(A_7,double_divide(inverse(B_14),inverse(inverse(A_7)))),inverse(identity)) = B_14 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_89]) ).
tff(c_425,plain,
! [A_29,B_30] : ( double_divide(double_divide(A_29,double_divide(inverse(B_30),multiply(identity,A_29))),inverse(identity)) = B_30 ),
inference(demodulation,[status(thm),theory(equality)],[c_118,c_93]) ).
tff(c_458,plain,
! [A_18] : ( double_divide(double_divide(A_18,identity),inverse(identity)) = A_18 ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_425]) ).
tff(c_469,plain,
! [A_18] : ( double_divide(inverse(A_18),inverse(identity)) = A_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_458]) ).
tff(c_470,plain,
! [A_31] : ( double_divide(inverse(A_31),inverse(identity)) = A_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_458]) ).
tff(c_497,plain,
! [A_6] : ( double_divide(multiply(identity,A_6),inverse(identity)) = inverse(A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_470]) ).
tff(c_575,plain,
! [A_34,B_35] : ( double_divide(double_divide(A_34,double_divide(double_divide(B_35,inverse(A_34)),inverse(identity))),inverse(identity)) = B_35 ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_65]) ).
tff(c_608,plain,
! [A_6] : ( double_divide(double_divide(identity,double_divide(inverse(A_6),inverse(identity))),inverse(identity)) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_497,c_575]) ).
tff(c_1025,plain,
! [A_48] : ( double_divide(double_divide(identity,A_48),inverse(identity)) = multiply(identity,A_48) ),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_608]) ).
tff(c_1109,plain,
double_divide(inverse(identity),inverse(identity)) = multiply(identity,identity),
inference(superposition,[status(thm),theory(equality)],[c_6,c_1025]) ).
tff(c_1125,plain,
multiply(identity,identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_1109]) ).
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_106,plain,
! [B_16,A_17] : ( double_divide(double_divide(B_16,A_17),multiply(A_17,B_16)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_94,c_8]) ).
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_636,plain,
! [B_36,A_37,B_38] : ( double_divide(double_divide(double_divide(B_36,A_37),double_divide(double_divide(B_38,multiply(A_37,B_36)),inverse(identity))),inverse(identity)) = B_38 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_65]) ).
tff(c_702,plain,
! [B_16,A_17] : ( double_divide(double_divide(double_divide(B_16,A_17),double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(B_16,A_17) ),
inference(superposition,[status(thm),theory(equality)],[c_106,c_636]) ).
tff(c_745,plain,
! [A_39,B_40] : ( double_divide(multiply(A_39,B_40),inverse(identity)) = double_divide(B_40,A_39) ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_6,c_8,c_702]) ).
tff(c_770,plain,
! [A_39,B_40] : ( multiply(inverse(identity),multiply(A_39,B_40)) = inverse(double_divide(B_40,A_39)) ),
inference(superposition,[status(thm),theory(equality)],[c_745,c_49]) ).
tff(c_804,plain,
! [A_39,B_40] : ( multiply(inverse(identity),multiply(A_39,B_40)) = multiply(A_39,B_40) ),
inference(demodulation,[status(thm),theory(equality)],[c_49,c_770]) ).
tff(c_1130,plain,
multiply(inverse(identity),identity) = multiply(identity,identity),
inference(superposition,[status(thm),theory(equality)],[c_1125,c_804]) ).
tff(c_1157,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_1125,c_57,c_1130]) ).
tff(c_1174,plain,
! [A_18] : ( double_divide(inverse(A_18),identity) = A_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_1157,c_469]) ).
tff(c_46,plain,
! [A_6] : ( double_divide(inverse(A_6),identity) = multiply(identity,A_6) ),
inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).
tff(c_1347,plain,
! [A_6] : ( multiply(identity,A_6) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_1174,c_46]) ).
tff(c_1397,plain,
! [A_6] : ( inverse(inverse(A_6)) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_1347,c_118]) ).
tff(c_74,plain,
! [A_13,B_14,C_15] : ( multiply(inverse(identity),double_divide(A_13,double_divide(double_divide(B_14,double_divide(A_13,C_15)),inverse(C_15)))) = double_divide(B_14,identity) ),
inference(superposition,[status(thm),theory(equality)],[c_65,c_4]) ).
tff(c_875,plain,
! [A_43,B_44,C_45] : ( multiply(inverse(identity),double_divide(A_43,double_divide(double_divide(B_44,double_divide(A_43,C_45)),inverse(C_45)))) = inverse(B_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_74]) ).
tff(c_941,plain,
! [A_7,B_44] : ( multiply(inverse(identity),double_divide(A_7,double_divide(double_divide(B_44,identity),inverse(inverse(A_7))))) = inverse(B_44) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_875]) ).
tff(c_958,plain,
! [A_7,B_44] : ( multiply(inverse(identity),double_divide(A_7,double_divide(inverse(B_44),multiply(identity,A_7)))) = inverse(B_44) ),
inference(demodulation,[status(thm),theory(equality)],[c_118,c_6,c_941]) ).
tff(c_1575,plain,
! [A_61,B_62] : ( double_divide(A_61,double_divide(inverse(B_62),A_61)) = inverse(B_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_1347,c_1347,c_1157,c_958]) ).
tff(c_1610,plain,
! [A_61,A_6] : ( double_divide(A_61,double_divide(A_6,A_61)) = inverse(inverse(A_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_1397,c_1575]) ).
tff(c_1849,plain,
! [A_68,A_69] : ( double_divide(A_68,double_divide(A_69,A_68)) = A_69 ),
inference(demodulation,[status(thm),theory(equality)],[c_1397,c_1610]) ).
tff(c_1634,plain,
! [A_61,A_6] : ( double_divide(A_61,double_divide(A_6,A_61)) = A_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_1397,c_1610]) ).
tff(c_1852,plain,
! [A_69,A_68] : ( double_divide(double_divide(A_69,A_68),A_69) = A_68 ),
inference(superposition,[status(thm),theory(equality)],[c_1849,c_1634]) ).
tff(c_11,plain,
! [A_1,B_2,C_3] : ( double_divide(double_divide(A_1,double_divide(double_divide(B_2,double_divide(A_1,C_3)),inverse(C_3))),inverse(identity)) = B_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).
tff(c_112,plain,
! [A_1,B_2,C_3] : ( multiply(inverse(identity),double_divide(A_1,double_divide(double_divide(B_2,double_divide(A_1,C_3)),inverse(C_3)))) = inverse(B_2) ),
inference(superposition,[status(thm),theory(equality)],[c_11,c_94]) ).
tff(c_2795,plain,
! [A_89,B_90,C_91] : ( double_divide(A_89,double_divide(double_divide(B_90,double_divide(A_89,C_91)),inverse(C_91))) = inverse(B_90) ),
inference(demodulation,[status(thm),theory(equality)],[c_1347,c_1157,c_112]) ).
tff(c_2869,plain,
! [A_89,C_91] : ( double_divide(A_89,double_divide(A_89,C_91)) = inverse(inverse(C_91)) ),
inference(superposition,[status(thm),theory(equality)],[c_1852,c_2795]) ).
tff(c_2968,plain,
! [A_92,C_93] : ( double_divide(A_92,double_divide(A_92,C_93)) = C_93 ),
inference(demodulation,[status(thm),theory(equality)],[c_1397,c_2869]) ).
tff(c_3100,plain,
! [C_94,A_95] : ( double_divide(C_94,A_95) = double_divide(A_95,C_94) ),
inference(superposition,[status(thm),theory(equality)],[c_2968,c_1852]) ).
tff(c_3477,plain,
! [C_98,A_99] : ( double_divide(double_divide(C_98,A_99),identity) = multiply(C_98,A_99) ),
inference(superposition,[status(thm),theory(equality)],[c_3100,c_4]) ).
tff(c_3530,plain,
! [C_98,A_99] : ( multiply(C_98,A_99) = multiply(A_99,C_98) ),
inference(superposition,[status(thm),theory(equality)],[c_3477,c_4]) ).
tff(c_10,plain,
multiply(b,a) != multiply(a,b),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_3655,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3530,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP572-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 22:01:53 EDT 2023
% 0.15/0.37 % CPUTime :
% 4.79/2.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.79/2.25
% 4.79/2.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.79/2.29
% 4.79/2.29 Inference rules
% 4.79/2.29 ----------------------
% 4.79/2.29 #Ref : 0
% 4.79/2.29 #Sup : 924
% 4.79/2.29 #Fact : 0
% 4.79/2.29 #Define : 0
% 4.79/2.29 #Split : 0
% 4.79/2.29 #Chain : 0
% 4.79/2.29 #Close : 0
% 4.79/2.29
% 4.79/2.29 Ordering : KBO
% 4.79/2.29
% 4.79/2.29 Simplification rules
% 4.79/2.29 ----------------------
% 4.79/2.29 #Subsume : 7
% 4.79/2.29 #Demod : 1006
% 4.79/2.29 #Tautology : 542
% 4.79/2.29 #SimpNegUnit : 0
% 4.79/2.29 #BackRed : 23
% 4.79/2.29
% 4.79/2.29 #Partial instantiations: 0
% 4.79/2.29 #Strategies tried : 1
% 4.79/2.29
% 4.79/2.29 Timing (in seconds)
% 4.79/2.29 ----------------------
% 4.79/2.29 Preprocessing : 0.40
% 4.79/2.29 Parsing : 0.21
% 4.79/2.29 CNF conversion : 0.02
% 4.79/2.29 Main loop : 0.81
% 4.79/2.29 Inferencing : 0.28
% 4.79/2.29 Reduction : 0.32
% 4.79/2.29 Demodulation : 0.26
% 4.79/2.29 BG Simplification : 0.04
% 4.79/2.29 Subsumption : 0.12
% 4.79/2.29 Abstraction : 0.05
% 4.79/2.29 MUC search : 0.00
% 4.79/2.29 Cooper : 0.00
% 4.79/2.29 Total : 1.28
% 4.79/2.29 Index Insertion : 0.00
% 4.79/2.29 Index Deletion : 0.00
% 4.79/2.29 Index Matching : 0.00
% 4.79/2.29 BG Taut test : 0.00
%------------------------------------------------------------------------------