TMTP Model File: GRP394+3.003-Sat
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%------------------------------------------------------------------------------
% File : E---1.9
% Problem : GRP394+3 : TPTP v6.2.0. Released v2.5.0.
% Transform : none
% Format : tptp:raw
% Command : eprover --auto-schedule --tstp-format -s --proof-object --memory-limit=2048 --cpu-limit=%d %s
% Computer : n159.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-504.16.2.el6.x86_64
% CPULimit : 300s
% DateTime : Mon May 18 09:27:36 EDT 2015
% Result : Satisfiable 0.02s
% Output : Saturation 0.02s
% Verified :
% Statistics : Number of formulae : 24 ( 427 expanded)
% Number of clauses : 18 ( 191 expanded)
% Number of leaves : 3 ( 118 expanded)
% Depth : 10
% Number of atoms : 24 ( 427 expanded)
% Number of equality atoms : 24 ( 427 expanded)
% Maximal formula depth : 4 ( 1 average)
% Maximal clause size : 1 ( 1 average)
% Maximal term depth : 4 ( 2 average)
% Comments :
%------------------------------------------------------------------------------
fof(c_0_0,axiom,(
! [X1,X2,X3] : multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004+0.ax',associativity)).
fof(c_0_1,axiom,(
! [X1] : multiply(inverse(X1),X1) = identity ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004+0.ax',left_inverse)).
fof(c_0_2,axiom,(
! [X1] : multiply(identity,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004+0.ax',left_identity)).
fof(c_0_3,plain,(
! [X4,X5,X6] : multiply(multiply(X4,X5),X6) = multiply(X4,multiply(X5,X6)) ),
inference(variable_rename,[status(thm)],[c_0_0])).
fof(c_0_4,plain,(
! [X2] : multiply(inverse(X2),X2) = identity ),
inference(variable_rename,[status(thm)],[c_0_1])).
fof(c_0_5,plain,(
! [X2] : multiply(identity,X2) = X2 ),
inference(variable_rename,[status(thm)],[c_0_2])).
cnf(c_0_6,plain,
( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_7,plain,
( multiply(inverse(X1),X1) = identity ),
inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_8,plain,
( multiply(identity,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_9,plain,
( multiply(inverse(X1),multiply(X1,X2)) = X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[final]).
cnf(c_0_10,plain,
( multiply(inverse(inverse(X1)),X2) = multiply(X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_9])).
cnf(c_0_11,plain,
( multiply(X1,inverse(X1)) = identity ),
inference(spm,[status(thm)],[c_0_7,c_0_10]),
[final]).
cnf(c_0_12,plain,
( multiply(inverse(X1),identity) = inverse(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_11])).
cnf(c_0_13,plain,
( multiply(X1,identity) = inverse(inverse(X1)) ),
inference(spm,[status(thm)],[c_0_10,c_0_12])).
cnf(c_0_14,plain,
( multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3 ),
inference(spm,[status(thm)],[c_0_9,c_0_6])).
cnf(c_0_15,plain,
( inverse(inverse(X1)) = X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_7]),c_0_10]),c_0_13]),
[final]).
cnf(c_0_16,plain,
( multiply(inverse(multiply(X1,X2)),X1) = inverse(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_13]),c_0_15])).
cnf(c_0_17,plain,
( inverse(multiply(X1,X2)) = multiply(inverse(X2),inverse(X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_9]),
[final]).
cnf(c_0_18,plain,
( multiply(X1,multiply(inverse(X1),X2)) = X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_8]),
[final]).
cnf(c_0_19,plain,
( multiply(X1,identity) = X1 ),
inference(rw,[status(thm)],[c_0_13,c_0_15]),
[final]).
cnf(c_0_20,plain,
( inverse(identity) = identity ),
inference(spm,[status(thm)],[c_0_8,c_0_11]),
[final]).
cnf(c_0_21,plain,
( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
c_0_6,
[final]).
cnf(c_0_22,plain,
( multiply(inverse(X1),X1) = identity ),
c_0_7,
[final]).
cnf(c_0_23,plain,
( multiply(identity,X1) = X1 ),
c_0_8,
[final]).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP394+3 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.04 % Command : eprover --auto-schedule --tstp-format -s --proof-object --memory-limit=2048 --cpu-limit=%d %s
% 0.02/1.07 % Computer : n159.star.cs.uiowa.edu
% 0.02/1.07 % Model : x86_64 x86_64
% 0.02/1.07 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/1.07 % Memory : 32286.75MB
% 0.02/1.07 % OS : Linux 2.6.32-504.16.2.el6.x86_64
% 0.02/1.07 % CPULimit : 300
% 0.02/1.07 % DateTime : Sun May 17 09:42:58 CDT 2015
% 0.02/1.07 % CPUTime :
% 0.02/1.07 # No SInE strategy applied
% 0.02/1.07 # Trying AutoSched0 for 151 seconds
% 0.02/1.08 # AutoSched0-Mode selected heuristic G_E___092_C01_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.02/1.08 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.02/1.08 #
% 0.02/1.08 # Presaturation interreduction done
% 0.02/1.08
% 0.02/1.08 # No proof found!
% 0.02/1.08 # SZS status Satisfiable
% 0.02/1.08 # SZS output start Saturation.
% 0.02/1.08 fof(c_0_0, axiom, (![X1]:![X2]:![X3]:multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004+0.ax', associativity)).
% 0.02/1.08 fof(c_0_1, axiom, (![X1]:multiply(inverse(X1),X1)=identity), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004+0.ax', left_inverse)).
% 0.02/1.08 fof(c_0_2, axiom, (![X1]:multiply(identity,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004+0.ax', left_identity)).
% 0.02/1.08 fof(c_0_3, plain, (![X4]:![X5]:![X6]:multiply(multiply(X4,X5),X6)=multiply(X4,multiply(X5,X6))), inference(variable_rename,[status(thm)],[c_0_0])).
% 0.02/1.08 fof(c_0_4, plain, (![X2]:multiply(inverse(X2),X2)=identity), inference(variable_rename,[status(thm)],[c_0_1])).
% 0.02/1.08 fof(c_0_5, plain, (![X2]:multiply(identity,X2)=X2), inference(variable_rename,[status(thm)],[c_0_2])).
% 0.02/1.08 cnf(c_0_6,plain,(multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.02/1.08 cnf(c_0_7,plain,(multiply(inverse(X1),X1)=identity), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.02/1.08 cnf(c_0_8,plain,(multiply(identity,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.02/1.08 cnf(c_0_9,plain,(multiply(inverse(X1),multiply(X1,X2))=X2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_7]), c_0_8]), ['final']).
% 0.02/1.08 cnf(c_0_10,plain,(multiply(inverse(inverse(X1)),X2)=multiply(X1,X2)), inference(spm,[status(thm)],[c_0_9, c_0_9])).
% 0.02/1.08 cnf(c_0_11,plain,(multiply(X1,inverse(X1))=identity), inference(spm,[status(thm)],[c_0_7, c_0_10]), ['final']).
% 0.02/1.08 cnf(c_0_12,plain,(multiply(inverse(X1),identity)=inverse(X1)), inference(spm,[status(thm)],[c_0_9, c_0_11])).
% 0.02/1.08 cnf(c_0_13,plain,(multiply(X1,identity)=inverse(inverse(X1))), inference(spm,[status(thm)],[c_0_10, c_0_12])).
% 0.02/1.08 cnf(c_0_14,plain,(multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3)))=X3), inference(spm,[status(thm)],[c_0_9, c_0_6])).
% 0.02/1.08 cnf(c_0_15,plain,(inverse(inverse(X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_7]), c_0_10]), c_0_13]), ['final']).
% 0.02/1.08 cnf(c_0_16,plain,(multiply(inverse(multiply(X1,X2)),X1)=inverse(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_11]), c_0_13]), c_0_15])).
% 0.02/1.08 cnf(c_0_17,plain,(inverse(multiply(X1,X2))=multiply(inverse(X2),inverse(X1))), inference(spm,[status(thm)],[c_0_16, c_0_9]), ['final']).
% 0.02/1.08 cnf(c_0_18,plain,(multiply(X1,multiply(inverse(X1),X2))=X2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_11]), c_0_8]), ['final']).
% 0.02/1.08 cnf(c_0_19,plain,(multiply(X1,identity)=X1), inference(rw,[status(thm)],[c_0_13, c_0_15]), ['final']).
% 0.02/1.08 cnf(c_0_20,plain,(inverse(identity)=identity), inference(spm,[status(thm)],[c_0_8, c_0_11]), ['final']).
% 0.02/1.08 cnf(c_0_21,plain,(multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3))), c_0_6, ['final']).
% 0.02/1.08 cnf(c_0_22,plain,(multiply(inverse(X1),X1)=identity), c_0_7, ['final']).
% 0.02/1.08 cnf(c_0_23,plain,(multiply(identity,X1)=X1), c_0_8, ['final']).
% 0.02/1.08 # SZS output end Saturation.
%------------------------------------------------------------------------------