TSTP Solution File: GRP012+5 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% 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 : n012.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 : Theorem 6.90s 2.73s
% Output : CNFRefutation 7.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 23 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 68 (; 67 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > #nlpp > inverse > #skF_5 > #skF_6 > #skF_3 > #skF_1 > #skF_4 > #skF_2
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(inverse,type,
inverse: $i > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(f_67,negated_conjecture,
~ ! [E] :
( ( ! [X,Y] :
? [Z] : product(X,Y,Z)
& ! [X,Y,Z,U,V,W] :
( ( product(X,Y,U)
& product(Y,Z,V)
& product(U,Z,W) )
=> product(X,V,W) )
& ! [X,Y,Z,U,V,W] :
( ( product(X,Y,U)
& product(Y,Z,V)
& product(X,V,W) )
=> product(U,Z,W) )
& ! [X] : product(X,E,X)
& ! [X] : product(E,X,X)
& ! [X] : product(X,inverse(X),E)
& ! [X] : product(inverse(X),X,E) )
=> ! [U,V,W,X] :
( ( product(inverse(U),inverse(V),W)
& product(V,U,X) )
=> product(inverse(W),inverse(X),E) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distribution) ).
tff(c_10,plain,
! [X_42] : product(X_42,inverse(X_42),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_12,plain,
! [X_41] : product('#skF_1',X_41,X_41),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_26,plain,
! [X_54,V_53,U_50,Y_55,W_51,Z_52] :
( product(X_54,V_53,W_51)
| ~ product(U_50,Z_52,W_51)
| ~ product(Y_55,Z_52,V_53)
| ~ product(X_54,Y_55,U_50) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_220,plain,
! [X_82,V_83,X_84,Y_85] :
( product(X_82,V_83,X_84)
| ~ product(Y_85,X_84,V_83)
| ~ product(X_82,Y_85,'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_26]) ).
tff(c_259,plain,
! [X_82,X_42] :
( product(X_82,'#skF_1',inverse(X_42))
| ~ product(X_82,X_42,'#skF_1') ),
inference(resolution,[status(thm)],[c_10,c_220]) ).
tff(c_48,plain,
! [V_56,Z_58,X_61,W_57,U_60,Y_59] :
( product(U_60,Z_58,W_57)
| ~ product(X_61,V_56,W_57)
| ~ product(Y_59,Z_58,V_56)
| ~ product(X_61,Y_59,U_60) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_971,plain,
! [U_115,Z_116,Y_117,X_118] :
( product(U_115,Z_116,'#skF_1')
| ~ product(Y_117,Z_116,inverse(X_118))
| ~ product(X_118,Y_117,U_115) ),
inference(resolution,[status(thm)],[c_10,c_48]) ).
tff(c_1383,plain,
! [U_133,X_134] :
( product(U_133,inverse(X_134),'#skF_1')
| ~ product(X_134,'#skF_1',U_133) ),
inference(resolution,[status(thm)],[c_12,c_971]) ).
tff(c_2,plain,
~ product(inverse('#skF_5'),inverse('#skF_6'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_1425,plain,
~ product('#skF_6','#skF_1',inverse('#skF_5')),
inference(resolution,[status(thm)],[c_1383,c_2]) ).
tff(c_1429,plain,
~ product('#skF_6','#skF_5','#skF_1'),
inference(resolution,[status(thm)],[c_259,c_1425]) ).
tff(c_14,plain,
! [X_40] : product(X_40,'#skF_1',X_40),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_4,plain,
product('#skF_4','#skF_3','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_70,plain,
! [X_62,V_63,Y_64] :
( product(X_62,V_63,'#skF_6')
| ~ product(Y_64,'#skF_3',V_63)
| ~ product(X_62,Y_64,'#skF_4') ),
inference(resolution,[status(thm)],[c_4,c_26]) ).
tff(c_85,plain,
! [X_62] :
( product(X_62,'#skF_3','#skF_6')
| ~ product(X_62,'#skF_1','#skF_4') ),
inference(resolution,[status(thm)],[c_12,c_70]) ).
tff(c_434,plain,
! [U_95,Z_96,X_97,Y_98] :
( product(U_95,Z_96,X_97)
| ~ product(Y_98,Z_96,'#skF_1')
| ~ product(X_97,Y_98,U_95) ),
inference(resolution,[status(thm)],[c_14,c_48]) ).
tff(c_458,plain,
! [U_95,X_42,X_97] :
( product(U_95,inverse(X_42),X_97)
| ~ product(X_97,X_42,U_95) ),
inference(resolution,[status(thm)],[c_10,c_434]) ).
tff(c_6,plain,
product(inverse('#skF_3'),inverse('#skF_4'),'#skF_5'),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_1490,plain,
! [X_135,V_136,Y_137,X_138] :
( product(X_135,V_136,'#skF_1')
| ~ product(Y_137,inverse(X_138),V_136)
| ~ product(X_135,Y_137,X_138) ),
inference(resolution,[status(thm)],[c_10,c_26]) ).
tff(c_5269,plain,
! [X_213] :
( product(X_213,'#skF_5','#skF_1')
| ~ product(X_213,inverse('#skF_3'),'#skF_4') ),
inference(resolution,[status(thm)],[c_6,c_1490]) ).
tff(c_5275,plain,
! [U_214] :
( product(U_214,'#skF_5','#skF_1')
| ~ product('#skF_4','#skF_3',U_214) ),
inference(resolution,[status(thm)],[c_458,c_5269]) ).
tff(c_5278,plain,
( product('#skF_6','#skF_5','#skF_1')
| ~ product('#skF_4','#skF_1','#skF_4') ),
inference(resolution,[status(thm)],[c_85,c_5275]) ).
tff(c_5286,plain,
product('#skF_6','#skF_5','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_5278]) ).
tff(c_5288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1429,c_5286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n012.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 22:20:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.90/2.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.18/2.73
% 7.18/2.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.18/2.76
% 7.18/2.76 Inference rules
% 7.18/2.76 ----------------------
% 7.18/2.76 #Ref : 0
% 7.18/2.76 #Sup : 1435
% 7.18/2.76 #Fact : 0
% 7.18/2.76 #Define : 0
% 7.18/2.76 #Split : 2
% 7.18/2.76 #Chain : 0
% 7.18/2.76 #Close : 0
% 7.18/2.76
% 7.18/2.76 Ordering : KBO
% 7.18/2.76
% 7.18/2.76 Simplification rules
% 7.18/2.76 ----------------------
% 7.18/2.76 #Subsume : 17
% 7.18/2.76 #Demod : 277
% 7.18/2.76 #Tautology : 276
% 7.18/2.76 #SimpNegUnit : 1
% 7.18/2.76 #BackRed : 0
% 7.18/2.76
% 7.18/2.76 #Partial instantiations: 0
% 7.18/2.76 #Strategies tried : 1
% 7.18/2.76
% 7.18/2.76 Timing (in seconds)
% 7.18/2.76 ----------------------
% 7.28/2.77 Preprocessing : 0.43
% 7.28/2.77 Parsing : 0.24
% 7.28/2.77 CNF conversion : 0.03
% 7.28/2.77 Main loop : 1.26
% 7.28/2.77 Inferencing : 0.38
% 7.28/2.77 Reduction : 0.41
% 7.28/2.77 Demodulation : 0.30
% 7.28/2.77 BG Simplification : 0.04
% 7.28/2.77 Subsumption : 0.33
% 7.28/2.77 Abstraction : 0.04
% 7.28/2.77 MUC search : 0.00
% 7.28/2.77 Cooper : 0.00
% 7.28/2.77 Total : 1.73
% 7.28/2.77 Index Insertion : 0.00
% 7.28/2.77 Index Deletion : 0.00
% 7.28/2.77 Index Matching : 0.00
% 7.28/2.77 BG Taut test : 0.00
%------------------------------------------------------------------------------