TSTP Solution File: GRP046-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP046-2 : 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 : 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 10:39:44 EDT 2023
% Result : Unsatisfiable 5.45s 2.47s
% Output : CNFRefutation 5.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 19 unt; 8 typ; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 45 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 94 (; 94 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > equalish > multiply > #nlpp > inverse > identity > c > 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(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_98,axiom,
equalish(a,b),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X] : product(identity,X,X),
file(unknown,unknown) ).
tff(f_95,axiom,
! [X,Y,W,Z] :
( ~ equalish(X,Y)
| ~ product(W,Z,X)
| product(W,Z,Y) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| equalish(Z,W) ),
file(unknown,unknown) ).
tff(f_53,axiom,
! [X] : product(inverse(X),X,identity),
file(unknown,unknown) ).
tff(f_76,axiom,
! [W,U,Z,X,Y,V] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) ),
file(unknown,unknown) ).
tff(f_87,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_56,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file(unknown,unknown) ).
tff(f_100,axiom,
~ equalish(multiply(a,c),multiply(b,c)),
file(unknown,unknown) ).
tff(c_16,plain,
equalish(a,b),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_2,plain,
! [X_1] : product(identity,X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_44,plain,
! [W_37,Z_38,Y_39,X_40] :
( product(W_37,Z_38,Y_39)
| ~ product(W_37,Z_38,X_40)
| ~ equalish(X_40,Y_39) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_54,plain,
! [X_41,Y_42] :
( product(identity,X_41,Y_42)
| ~ equalish(X_41,Y_42) ),
inference(resolution,[status(thm)],[c_2,c_44]) ).
tff(c_22,plain,
! [Z_29,W_30,X_31,Y_32] :
( equalish(Z_29,W_30)
| ~ product(X_31,Y_32,W_30)
| ~ product(X_31,Y_32,Z_29) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_31,plain,
! [Z_29,X_1] :
( equalish(Z_29,X_1)
| ~ product(identity,X_1,Z_29) ),
inference(resolution,[status(thm)],[c_2,c_22]) ).
tff(c_65,plain,
! [Y_43,X_44] :
( equalish(Y_43,X_44)
| ~ equalish(X_44,Y_43) ),
inference(resolution,[status(thm)],[c_54,c_31]) ).
tff(c_75,plain,
equalish(b,a),
inference(resolution,[status(thm)],[c_16,c_65]) ).
tff(c_32,plain,
! [Z_33,X_34] :
( equalish(Z_33,X_34)
| ~ product(identity,X_34,Z_33) ),
inference(resolution,[status(thm)],[c_2,c_22]) ).
tff(c_41,plain,
! [X_1] : equalish(X_1,X_1),
inference(resolution,[status(thm)],[c_2,c_32]) ).
tff(c_4,plain,
! [X_2] : product(inverse(X_2),X_2,identity),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_52,plain,
! [X_2,Y_39] :
( product(inverse(X_2),X_2,Y_39)
| ~ equalish(identity,Y_39) ),
inference(resolution,[status(thm)],[c_4,c_44]) ).
tff(c_132,plain,
! [W_58,X_59,Y_60,U_62,V_61,Z_63] :
( product(X_59,V_61,W_58)
| ~ product(U_62,Z_63,W_58)
| ~ product(Y_60,Z_63,V_61)
| ~ product(X_59,Y_60,U_62) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_214,plain,
! [X_73,V_74,X_75,Y_76] :
( product(X_73,V_74,X_75)
| ~ product(Y_76,X_75,V_74)
| ~ product(X_73,Y_76,identity) ),
inference(resolution,[status(thm)],[c_2,c_132]) ).
tff(c_508,plain,
! [X_97,X_98] :
( product(X_97,identity,X_98)
| ~ product(X_97,inverse(X_98),identity) ),
inference(resolution,[status(thm)],[c_4,c_214]) ).
tff(c_516,plain,
! [X_98] :
( product(inverse(inverse(X_98)),identity,X_98)
| ~ equalish(identity,identity) ),
inference(resolution,[status(thm)],[c_52,c_508]) ).
tff(c_528,plain,
! [X_98] : product(inverse(inverse(X_98)),identity,X_98),
inference(demodulation,[status(thm),theory(equality)],[c_41,c_516]) ).
tff(c_92,plain,
! [U_51,Y_53,V_52,W_48,X_50,Z_49] :
( product(U_51,Z_49,W_48)
| ~ product(X_50,V_52,W_48)
| ~ product(Y_53,Z_49,V_52)
| ~ product(X_50,Y_53,U_51) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_786,plain,
! [U_112,Z_113,Y_114,X_115] :
( product(U_112,Z_113,identity)
| ~ product(Y_114,Z_113,X_115)
| ~ product(inverse(X_115),Y_114,U_112) ),
inference(resolution,[status(thm)],[c_4,c_92]) ).
tff(c_1680,plain,
! [U_143,X_144] :
( product(U_143,X_144,identity)
| ~ product(inverse(X_144),identity,U_143) ),
inference(resolution,[status(thm)],[c_2,c_786]) ).
tff(c_1750,plain,
! [X_145] : product(X_145,inverse(X_145),identity),
inference(resolution,[status(thm)],[c_528,c_1680]) ).
tff(c_231,plain,
! [X_73,X_2] :
( product(X_73,identity,X_2)
| ~ product(X_73,inverse(X_2),identity) ),
inference(resolution,[status(thm)],[c_4,c_214]) ).
tff(c_1803,plain,
! [X_146] : product(X_146,identity,X_146),
inference(resolution,[status(thm)],[c_1750,c_231]) ).
tff(c_14,plain,
! [W_23,Z_24,Y_22,X_21] :
( product(W_23,Z_24,Y_22)
| ~ product(W_23,Z_24,X_21)
| ~ equalish(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_1870,plain,
! [X_146,Y_22] :
( product(X_146,identity,Y_22)
| ~ equalish(X_146,Y_22) ),
inference(resolution,[status(thm)],[c_1803,c_14]) ).
tff(c_6,plain,
! [X_3,Y_4] : product(X_3,Y_4,multiply(X_3,Y_4)),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1335,plain,
! [Y_136,X_132,V_135,Y_133,X_134] :
( product(X_132,V_135,multiply(X_134,Y_136))
| ~ product(Y_133,Y_136,V_135)
| ~ product(X_132,Y_133,X_134) ),
inference(resolution,[status(thm)],[c_6,c_132]) ).
tff(c_2594,plain,
! [X_166,X_167,X_168] :
( product(X_166,X_167,multiply(X_168,X_167))
| ~ product(X_166,identity,X_168) ),
inference(resolution,[status(thm)],[c_2,c_1335]) ).
tff(c_148,plain,
! [Z_64,X_65,Y_66] :
( equalish(Z_64,multiply(X_65,Y_66))
| ~ product(X_65,Y_66,Z_64) ),
inference(resolution,[status(thm)],[c_6,c_22]) ).
tff(c_18,plain,
~ equalish(multiply(a,c),multiply(b,c)),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_155,plain,
~ product(b,c,multiply(a,c)),
inference(resolution,[status(thm)],[c_148,c_18]) ).
tff(c_2661,plain,
~ product(b,identity,a),
inference(resolution,[status(thm)],[c_2594,c_155]) ).
tff(c_2670,plain,
~ equalish(b,a),
inference(resolution,[status(thm)],[c_1870,c_2661]) ).
tff(c_2674,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75,c_2670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP046-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % 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
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:41:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.45/2.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.45/2.48
% 5.45/2.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.74/2.52
% 5.74/2.52 Inference rules
% 5.74/2.52 ----------------------
% 5.74/2.52 #Ref : 0
% 5.74/2.52 #Sup : 670
% 5.74/2.52 #Fact : 0
% 5.74/2.52 #Define : 0
% 5.74/2.52 #Split : 0
% 5.74/2.52 #Chain : 0
% 5.74/2.52 #Close : 0
% 5.74/2.52
% 5.74/2.52 Ordering : KBO
% 5.74/2.52
% 5.74/2.52 Simplification rules
% 5.74/2.52 ----------------------
% 5.74/2.52 #Subsume : 27
% 5.74/2.52 #Demod : 169
% 5.74/2.52 #Tautology : 146
% 5.74/2.52 #SimpNegUnit : 0
% 5.74/2.52 #BackRed : 0
% 5.74/2.52
% 5.74/2.52 #Partial instantiations: 0
% 5.74/2.52 #Strategies tried : 1
% 5.74/2.52
% 5.74/2.52 Timing (in seconds)
% 5.74/2.52 ----------------------
% 5.74/2.52 Preprocessing : 0.42
% 5.74/2.52 Parsing : 0.23
% 5.74/2.52 CNF conversion : 0.02
% 5.74/2.52 Main loop : 0.94
% 5.74/2.52 Inferencing : 0.33
% 5.74/2.52 Reduction : 0.28
% 5.74/2.52 Demodulation : 0.21
% 5.74/2.52 BG Simplification : 0.03
% 5.74/2.52 Subsumption : 0.22
% 5.74/2.52 Abstraction : 0.03
% 5.74/2.52 MUC search : 0.00
% 5.74/2.52 Cooper : 0.00
% 5.74/2.52 Total : 1.41
% 5.74/2.52 Index Insertion : 0.00
% 5.74/2.52 Index Deletion : 0.00
% 5.74/2.52 Index Matching : 0.00
% 5.74/2.52 BG Taut test : 0.00
%------------------------------------------------------------------------------