TSTP Solution File: GRP012-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP012-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n017.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 10:39:37 EDT 2023
% Result : Unsatisfiable 7.70s 3.07s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 22 unt; 6 typ; 0 def)
% Number of atoms : 58 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 77 (; 77 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > multiply > #nlpp > inverse > identity > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(identity,type,
identity: $i ).
tff(f_57,axiom,
! [X] : product(X,inverse(X),identity),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : product(X,identity,X),
file(unknown,unknown) ).
tff(f_91,axiom,
! [W,U,Z,X,Y,V] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,W) ),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X] : product(identity,X,X),
file(unknown,unknown) ).
tff(f_69,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| ( Z = W ) ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_55,axiom,
! [X] : product(inverse(X),X,identity),
file(unknown,unknown) ).
tff(f_95,axiom,
inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
file(unknown,unknown) ).
tff(c_8,plain,
! [X_4] : product(X_4,inverse(X_4),identity),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4,plain,
! [X_2] : product(X_2,identity,X_2),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_74,plain,
! [W_39,Z_40,X_36,V_38,U_37,Y_35] :
( product(U_37,Z_40,W_39)
| ~ product(X_36,V_38,W_39)
| ~ product(Y_35,Z_40,V_38)
| ~ product(X_36,Y_35,U_37) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_281,plain,
! [U_60,Z_61,X_62,Y_63] :
( product(U_60,Z_61,X_62)
| ~ product(Y_63,Z_61,identity)
| ~ product(X_62,Y_63,U_60) ),
inference(resolution,[status(thm)],[c_4,c_74]) ).
tff(c_316,plain,
! [U_66,X_67,X_68] :
( product(U_66,inverse(X_67),X_68)
| ~ product(X_68,X_67,U_66) ),
inference(resolution,[status(thm)],[c_8,c_281]) ).
tff(c_2,plain,
! [X_1] : product(identity,X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_24,plain,
! [Z_29,W_30,X_31,Y_32] :
( ( Z_29 = W_30 )
| ~ product(X_31,Y_32,W_30)
| ~ product(X_31,Y_32,Z_29) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_38,plain,
! [Z_29,X_1] :
( ( Z_29 = X_1 )
| ~ product(identity,X_1,Z_29) ),
inference(resolution,[status(thm)],[c_2,c_24]) ).
tff(c_375,plain,
! [X_71,X_72] :
( ( inverse(X_71) = X_72 )
| ~ product(X_72,X_71,identity) ),
inference(resolution,[status(thm)],[c_316,c_38]) ).
tff(c_397,plain,
! [X_4] : ( inverse(inverse(X_4)) = X_4 ),
inference(resolution,[status(thm)],[c_8,c_375]) ).
tff(c_10,plain,
! [X_5,Y_6] : product(X_5,Y_6,multiply(X_5,Y_6)),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_40,plain,
! [Z_33,X_34] :
( ( Z_33 = X_34 )
| ~ product(identity,X_34,Z_33) ),
inference(resolution,[status(thm)],[c_2,c_24]) ).
tff(c_56,plain,
! [Y_6] : ( multiply(identity,Y_6) = Y_6 ),
inference(resolution,[status(thm)],[c_10,c_40]) ).
tff(c_6,plain,
! [X_3] : product(inverse(X_3),X_3,identity),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_2239,plain,
! [U_167,Z_168,Y_169,X_170] :
( product(U_167,Z_168,identity)
| ~ product(Y_169,Z_168,X_170)
| ~ product(inverse(X_170),Y_169,U_167) ),
inference(resolution,[status(thm)],[c_6,c_74]) ).
tff(c_5740,plain,
! [U_258,Y_259,X_260] :
( product(U_258,Y_259,identity)
| ~ product(inverse(multiply(X_260,Y_259)),X_260,U_258) ),
inference(resolution,[status(thm)],[c_10,c_2239]) ).
tff(c_5869,plain,
! [Y_261,Y_262] : product(multiply(inverse(multiply(Y_261,Y_262)),Y_261),Y_262,identity),
inference(resolution,[status(thm)],[c_10,c_5740]) ).
tff(c_35,plain,
! [X_5,Y_6,Z_29] :
( ( multiply(X_5,Y_6) = Z_29 )
| ~ product(X_5,Y_6,Z_29) ),
inference(resolution,[status(thm)],[c_10,c_24]) ).
tff(c_345,plain,
! [U_66,X_67,X_68] :
( ( multiply(U_66,inverse(X_67)) = X_68 )
| ~ product(X_68,X_67,U_66) ),
inference(resolution,[status(thm)],[c_316,c_35]) ).
tff(c_5923,plain,
! [Y_261,Y_262] : ( multiply(inverse(multiply(Y_261,Y_262)),Y_261) = multiply(identity,inverse(Y_262)) ),
inference(resolution,[status(thm)],[c_5869,c_345]) ).
tff(c_6092,plain,
! [Y_263,Y_264] : ( multiply(inverse(multiply(Y_263,Y_264)),Y_263) = inverse(Y_264) ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_5923]) ).
tff(c_539,plain,
! [U_84,X_85,X_86] :
( product(U_84,X_85,X_86)
| ~ product(X_86,inverse(X_85),U_84) ),
inference(resolution,[status(thm)],[c_6,c_281]) ).
tff(c_572,plain,
! [X_87,X_88] : product(multiply(X_87,inverse(X_88)),X_88,X_87),
inference(resolution,[status(thm)],[c_10,c_539]) ).
tff(c_634,plain,
! [X_87,X_88] : ( multiply(multiply(X_87,inverse(X_88)),X_88) = X_87 ),
inference(resolution,[status(thm)],[c_572,c_35]) ).
tff(c_13180,plain,
! [X_374,Y_375] : ( inverse(multiply(inverse(X_374),Y_375)) = multiply(inverse(Y_375),X_374) ),
inference(superposition,[status(thm),theory(equality)],[c_6092,c_634]) ).
tff(c_13507,plain,
! [Y_375,X_4] : ( multiply(inverse(Y_375),inverse(X_4)) = inverse(multiply(X_4,Y_375)) ),
inference(superposition,[status(thm),theory(equality)],[c_397,c_13180]) ).
tff(c_18,plain,
multiply(inverse(b),inverse(a)) != inverse(multiply(a,b)),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_14115,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13507,c_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP012-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n017.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 21:43:06 EDT 2023
% 0.15/0.37 % CPUTime :
% 7.70/3.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.70/3.07
% 7.70/3.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.70/3.11
% 7.70/3.11 Inference rules
% 7.70/3.11 ----------------------
% 7.70/3.11 #Ref : 0
% 7.70/3.11 #Sup : 3373
% 7.70/3.11 #Fact : 0
% 7.70/3.11 #Define : 0
% 7.70/3.11 #Split : 6
% 7.70/3.11 #Chain : 0
% 7.70/3.11 #Close : 0
% 7.70/3.11
% 7.70/3.11 Ordering : KBO
% 7.70/3.11
% 7.70/3.11 Simplification rules
% 7.70/3.11 ----------------------
% 7.70/3.11 #Subsume : 958
% 7.70/3.11 #Demod : 2037
% 7.70/3.11 #Tautology : 881
% 7.70/3.11 #SimpNegUnit : 0
% 7.70/3.11 #BackRed : 5
% 7.70/3.11
% 7.70/3.11 #Partial instantiations: 0
% 7.70/3.11 #Strategies tried : 1
% 7.70/3.11
% 7.70/3.11 Timing (in seconds)
% 7.70/3.11 ----------------------
% 7.70/3.11 Preprocessing : 0.41
% 7.70/3.11 Parsing : 0.22
% 7.70/3.11 CNF conversion : 0.02
% 7.70/3.11 Main loop : 1.62
% 7.70/3.11 Inferencing : 0.53
% 7.70/3.11 Reduction : 0.43
% 7.70/3.11 Demodulation : 0.31
% 7.70/3.11 BG Simplification : 0.04
% 7.70/3.11 Subsumption : 0.50
% 7.70/3.11 Abstraction : 0.05
% 7.70/3.11 MUC search : 0.00
% 7.70/3.11 Cooper : 0.00
% 7.70/3.11 Total : 2.08
% 7.70/3.11 Index Insertion : 0.00
% 7.70/3.11 Index Deletion : 0.00
% 7.70/3.11 Index Matching : 0.00
% 7.70/3.11 BG Taut test : 0.00
%------------------------------------------------------------------------------