TMTP Model File: GRP396+1.002-Sat
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%------------------------------------------------------------------------------
% File : E---1.9-FNT
% Problem : GRP396+1 : TPTP v6.2.0. Released v2.5.0.
% Transform : none
% Format : tptp:raw
% Command : eprover --satauto-schedule --tstp-format -s --proof-object --memory-limit=2048 --cpu-limit=%d %s
% Computer : n192.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 09:29:10 EDT 2015
% Result : Satisfiable 0.02s
% Output : Saturation 0.02s
% Verified :
% Statistics : Number of formulae : 8 ( 8 expanded)
% Number of clauses : 4 ( 4 expanded)
% Number of leaves : 2 ( 2 expanded)
% Depth : 3
% Number of atoms : 28 ( 28 expanded)
% Number of equality atoms : 4 ( 4 expanded)
% Maximal formula depth : 9 ( 6 average)
% Maximal clause size : 4 ( 4 average)
% Maximal term depth : 3 ( 1 average)
% Comments :
%------------------------------------------------------------------------------
fof(c_0_0,axiom,(
! [X1,X2,X3,X4] :
( ( group_member(X2,X1)
& group_member(X3,X1)
& group_member(X4,X1) )
=> multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP007+0.ax',associativity)).
fof(c_0_1,axiom,(
! [X1,X2,X3] :
( ( group_member(X2,X1)
& group_member(X3,X1) )
=> group_member(multiply(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP007+0.ax',total_function)).
fof(c_0_2,plain,(
! [X5,X6,X7,X8] :
( ~ group_member(X6,X5)
| ~ group_member(X7,X5)
| ~ group_member(X8,X5)
| multiply(X5,multiply(X5,X6,X7),X8) = multiply(X5,X6,multiply(X5,X7,X8)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_0])])).
fof(c_0_3,plain,(
! [X4,X5,X6] :
( ~ group_member(X5,X4)
| ~ group_member(X6,X4)
| group_member(multiply(X4,X5,X6),X4) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])).
cnf(c_0_4,plain,
( multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4))
| ~ group_member(X4,X1)
| ~ group_member(X3,X1)
| ~ group_member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2])).
cnf(c_0_5,plain,
( group_member(multiply(X1,X2,X3),X1)
| ~ group_member(X3,X1)
| ~ group_member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_6,plain,
( multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4))
| ~ group_member(X4,X1)
| ~ group_member(X3,X1)
| ~ group_member(X2,X1) ),
c_0_4,
[final]).
cnf(c_0_7,plain,
( group_member(multiply(X1,X2,X3),X1)
| ~ group_member(X3,X1)
| ~ group_member(X2,X1) ),
c_0_5,
[final]).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP396+1 : TPTP v6.2.0. Released v2.5.0.
% 0.01/0.03 % Command : eprover --satauto-schedule --tstp-format -s --proof-object --memory-limit=2048 --cpu-limit=%d %s
% 0.02/1.06 % Computer : n192.star.cs.uiowa.edu
% 0.02/1.06 % Model : x86_64 x86_64
% 0.02/1.06 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/1.06 % Memory : 32286.75MB
% 0.02/1.06 % OS : Linux 2.6.32-504.16.2.el6.x86_64
% 0.02/1.06 % CPULimit : 300
% 0.02/1.06 % DateTime : Sun May 17 09:42:58 CDT 2015
% 0.02/1.07 % CPUTime :
% 0.02/1.07 # Trying AutoSched0 for 151 seconds
% 0.02/1.08 # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 0.02/1.08 # and selection function SelectComplexAHP.
% 0.02/1.08 #
% 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]:![X4]:(((group_member(X2,X1)&group_member(X3,X1))&group_member(X4,X1))=>multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP007+0.ax', associativity)).
% 0.02/1.08 fof(c_0_1, axiom, (![X1]:![X2]:![X3]:((group_member(X2,X1)&group_member(X3,X1))=>group_member(multiply(X1,X2,X3),X1))), file('/export/starexec/sandbox/benchmark/Axioms/GRP007+0.ax', total_function)).
% 0.02/1.08 fof(c_0_2, plain, (![X5]:![X6]:![X7]:![X8]:(((~group_member(X6,X5)|~group_member(X7,X5))|~group_member(X8,X5))|multiply(X5,multiply(X5,X6,X7),X8)=multiply(X5,X6,multiply(X5,X7,X8)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_0])])).
% 0.02/1.08 fof(c_0_3, plain, (![X4]:![X5]:![X6]:((~group_member(X5,X4)|~group_member(X6,X4))|group_member(multiply(X4,X5,X6),X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])).
% 0.02/1.08 cnf(c_0_4,plain,(multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4))|~group_member(X4,X1)|~group_member(X3,X1)|~group_member(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.02/1.08 cnf(c_0_5,plain,(group_member(multiply(X1,X2,X3),X1)|~group_member(X3,X1)|~group_member(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.02/1.08 cnf(c_0_6,plain,(multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4))|~group_member(X4,X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_4, ['final']).
% 0.02/1.08 cnf(c_0_7,plain,(group_member(multiply(X1,X2,X3),X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_5, ['final']).
% 0.02/1.08 # SZS output end Saturation.
%------------------------------------------------------------------------------