TSTP Solution File: GRP001+6 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP001+6 : 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/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 : n020.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 10:39:34 EDT 2023
% Result : Theorem 18.54s 8.16s
% Output : CNFRefutation 18.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 43 ( 15 ~; 13 |; 10 &)
% ( 0 <=>; 5 =>; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 54 (; 53 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > #nlpp > inverse > #skF_5 > #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_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_68,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) )
=> ( ! [X] : product(X,X,E)
=> ! [U,V,W] :
( product(U,V,W)
=> product(V,U,W) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
tff(c_2,plain,
~ product('#skF_4','#skF_3','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_6,plain,
! [X_44] : product(X_44,X_44,'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_4,plain,
product('#skF_3','#skF_4','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_14,plain,
! [X_40] : product(X_40,'#skF_1',X_40),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_49,plain,
! [U_62,Z_60,Y_61,V_58,W_59,X_63] :
( product(U_62,Z_60,W_59)
| ~ product(X_63,V_58,W_59)
| ~ product(Y_61,Z_60,V_58)
| ~ product(X_63,Y_61,U_62) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_893,plain,
! [U_113,Z_114,X_115,Y_116] :
( product(U_113,Z_114,X_115)
| ~ product(Y_116,Z_114,'#skF_1')
| ~ product(X_115,Y_116,U_113) ),
inference(resolution,[status(thm)],[c_14,c_49]) ).
tff(c_2276,plain,
! [U_148,X_149,X_150] :
( product(U_148,X_149,X_150)
| ~ product(X_150,X_149,U_148) ),
inference(resolution,[status(thm)],[c_6,c_893]) ).
tff(c_2429,plain,
product('#skF_5','#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_4,c_2276]) ).
tff(c_12,plain,
! [X_41] : product('#skF_1',X_41,X_41),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_27,plain,
! [W_53,Y_57,Z_54,X_56,V_55,U_52] :
( product(X_56,V_55,W_53)
| ~ product(U_52,Z_54,W_53)
| ~ product(Y_57,Z_54,V_55)
| ~ product(X_56,Y_57,U_52) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_47,plain,
! [X_56,V_55,X_41,Y_57] :
( product(X_56,V_55,X_41)
| ~ product(Y_57,X_41,V_55)
| ~ product(X_56,Y_57,'#skF_1') ),
inference(resolution,[status(thm)],[c_12,c_27]) ).
tff(c_30607,plain,
! [X_487] :
( product(X_487,'#skF_3','#skF_4')
| ~ product(X_487,'#skF_5','#skF_1') ),
inference(resolution,[status(thm)],[c_2429,c_47]) ).
tff(c_30717,plain,
product('#skF_5','#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_6,c_30607]) ).
tff(c_955,plain,
! [U_113,X_44,X_115] :
( product(U_113,X_44,X_115)
| ~ product(X_115,X_44,U_113) ),
inference(resolution,[status(thm)],[c_6,c_893]) ).
tff(c_30734,plain,
product('#skF_4','#skF_3','#skF_5'),
inference(resolution,[status(thm)],[c_30717,c_955]) ).
tff(c_30763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_30734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % 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
% 0.14/0.37 % Computer : n020.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Aug 3 22:01:22 EDT 2023
% 0.14/0.37 % CPUTime :
% 18.54/8.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.73/8.17
% 18.73/8.17 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.73/8.19
% 18.73/8.19 Inference rules
% 18.73/8.19 ----------------------
% 18.73/8.19 #Ref : 0
% 18.73/8.19 #Sup : 8327
% 18.73/8.19 #Fact : 0
% 18.73/8.19 #Define : 0
% 18.73/8.19 #Split : 8
% 18.73/8.19 #Chain : 0
% 18.73/8.19 #Close : 0
% 18.73/8.19
% 18.73/8.19 Ordering : KBO
% 18.73/8.19
% 18.73/8.19 Simplification rules
% 18.73/8.19 ----------------------
% 18.73/8.19 #Subsume : 145
% 18.73/8.19 #Demod : 1776
% 18.73/8.19 #Tautology : 1758
% 18.73/8.19 #SimpNegUnit : 8
% 18.73/8.19 #BackRed : 0
% 18.73/8.19
% 18.73/8.19 #Partial instantiations: 0
% 18.73/8.19 #Strategies tried : 1
% 18.73/8.19
% 18.73/8.19 Timing (in seconds)
% 18.73/8.19 ----------------------
% 18.73/8.20 Preprocessing : 0.43
% 18.73/8.20 Parsing : 0.24
% 18.73/8.20 CNF conversion : 0.03
% 18.73/8.20 Main loop : 6.60
% 18.73/8.20 Inferencing : 0.98
% 18.73/8.20 Reduction : 2.84
% 18.73/8.20 Demodulation : 2.45
% 18.73/8.20 BG Simplification : 0.07
% 18.73/8.20 Subsumption : 2.28
% 18.73/8.20 Abstraction : 0.07
% 18.73/8.20 MUC search : 0.00
% 18.73/8.20 Cooper : 0.00
% 18.73/8.20 Total : 7.08
% 18.73/8.20 Index Insertion : 0.00
% 18.73/8.20 Index Deletion : 0.00
% 18.73/8.20 Index Matching : 0.00
% 18.73/8.20 BG Taut test : 0.00
%------------------------------------------------------------------------------