TSTP Solution File: GRP029-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP029-2 : 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/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 : n016.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 10:39:40 EDT 2023
% Result : Unsatisfiable 6.55s 2.58s
% Output : CNFRefutation 6.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 12 unt; 6 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 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 : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 60 (; 60 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > equalish > multiply > #nlpp > not_right_identity > inverse > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(not_right_identity,type,
not_right_identity: $i > $i ).
tff(identity,type,
identity: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(f_34,axiom,
! [X] : equalish(X,X),
file(unknown,unknown) ).
tff(f_124,axiom,
! [A] : product(inverse(A),A,identity),
file(unknown,unknown) ).
tff(f_81,axiom,
! [X,Y,W,Z] :
( ~ equalish(X,Y)
| ~ product(W,Z,X)
| product(W,Z,Y) ),
file(unknown,unknown) ).
tff(f_122,axiom,
! [A] : product(identity,A,A),
file(unknown,unknown) ).
tff(f_109,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_120,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_127,axiom,
! [A] : ~ product(not_right_identity(A),A,not_right_identity(A)),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : equalish(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_30,plain,
! [A_46] : product(inverse(A_46),A_46,identity),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_149,plain,
! [W_89,Z_90,Y_91,X_92] :
( product(W_89,Z_90,Y_91)
| ~ product(W_89,Z_90,X_92)
| ~ equalish(X_92,Y_91) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_160,plain,
! [A_46,Y_91] :
( product(inverse(A_46),A_46,Y_91)
| ~ equalish(identity,Y_91) ),
inference(resolution,[status(thm)],[c_30,c_149]) ).
tff(c_28,plain,
! [A_45] : product(identity,A_45,A_45),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_278,plain,
! [X_111,Z_115,Y_112,W_113,V_110,U_114] :
( product(X_111,V_110,W_113)
| ~ product(U_114,Z_115,W_113)
| ~ product(Y_112,Z_115,V_110)
| ~ product(X_111,Y_112,U_114) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_1291,plain,
! [X_200,V_201,A_202,Y_203] :
( product(X_200,V_201,A_202)
| ~ product(Y_203,A_202,V_201)
| ~ product(X_200,Y_203,identity) ),
inference(resolution,[status(thm)],[c_28,c_278]) ).
tff(c_2146,plain,
! [X_237,A_238] :
( product(X_237,identity,A_238)
| ~ product(X_237,inverse(A_238),identity) ),
inference(resolution,[status(thm)],[c_30,c_1291]) ).
tff(c_2170,plain,
! [A_238] :
( product(inverse(inverse(A_238)),identity,A_238)
| ~ equalish(identity,identity) ),
inference(resolution,[status(thm)],[c_160,c_2146]) ).
tff(c_2190,plain,
! [A_238] : product(inverse(inverse(A_238)),identity,A_238),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2170]) ).
tff(c_399,plain,
! [X_125,U_124,Z_126,Y_128,V_127,W_123] :
( product(U_124,Z_126,W_123)
| ~ product(X_125,V_127,W_123)
| ~ product(Y_128,Z_126,V_127)
| ~ product(X_125,Y_128,U_124) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_1972,plain,
! [U_230,Z_231,Y_232,A_233] :
( product(U_230,Z_231,identity)
| ~ product(Y_232,Z_231,A_233)
| ~ product(inverse(A_233),Y_232,U_230) ),
inference(resolution,[status(thm)],[c_30,c_399]) ).
tff(c_4315,plain,
! [U_290,A_291] :
( product(U_290,A_291,identity)
| ~ product(inverse(A_291),identity,U_290) ),
inference(resolution,[status(thm)],[c_28,c_1972]) ).
tff(c_4414,plain,
! [A_292] : product(A_292,inverse(A_292),identity),
inference(resolution,[status(thm)],[c_2190,c_4315]) ).
tff(c_1344,plain,
! [X_200,A_46] :
( product(X_200,identity,A_46)
| ~ product(X_200,inverse(A_46),identity) ),
inference(resolution,[status(thm)],[c_30,c_1291]) ).
tff(c_4472,plain,
! [A_293] : product(A_293,identity,A_293),
inference(resolution,[status(thm)],[c_4414,c_1344]) ).
tff(c_32,plain,
! [A_47] : ~ product(not_right_identity(A_47),A_47,not_right_identity(A_47)),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_4553,plain,
$false,
inference(resolution,[status(thm)],[c_4472,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 3 22:45:23 EDT 2023
% 0.13/0.36 % CPUTime :
% 6.55/2.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.55/2.59
% 6.55/2.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.55/2.61
% 6.55/2.61 Inference rules
% 6.55/2.61 ----------------------
% 6.55/2.61 #Ref : 0
% 6.55/2.61 #Sup : 1157
% 6.55/2.61 #Fact : 0
% 6.55/2.61 #Define : 0
% 6.55/2.61 #Split : 0
% 6.55/2.61 #Chain : 0
% 6.55/2.61 #Close : 0
% 6.55/2.61
% 6.55/2.61 Ordering : KBO
% 6.55/2.61
% 6.55/2.61 Simplification rules
% 6.55/2.61 ----------------------
% 6.55/2.61 #Subsume : 107
% 6.55/2.61 #Demod : 205
% 6.55/2.61 #Tautology : 167
% 6.55/2.61 #SimpNegUnit : 0
% 6.55/2.61 #BackRed : 0
% 6.55/2.61
% 6.55/2.61 #Partial instantiations: 0
% 6.55/2.61 #Strategies tried : 1
% 6.55/2.61
% 6.55/2.61 Timing (in seconds)
% 6.55/2.61 ----------------------
% 6.55/2.62 Preprocessing : 0.45
% 6.55/2.62 Parsing : 0.25
% 6.55/2.62 CNF conversion : 0.03
% 6.55/2.62 Main loop : 1.08
% 6.55/2.62 Inferencing : 0.37
% 6.55/2.62 Reduction : 0.31
% 6.55/2.62 Demodulation : 0.21
% 6.55/2.62 BG Simplification : 0.04
% 6.55/2.62 Subsumption : 0.29
% 6.55/2.62 Abstraction : 0.04
% 6.55/2.62 MUC search : 0.00
% 6.55/2.62 Cooper : 0.00
% 6.55/2.62 Total : 1.59
% 6.55/2.62 Index Insertion : 0.00
% 6.55/2.62 Index Deletion : 0.00
% 6.55/2.62 Index Matching : 0.00
% 6.55/2.62 BG Taut test : 0.00
%------------------------------------------------------------------------------