TSTP Solution File: GEO231+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO231+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n005.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Apr 1 13:39:15 EDT 2016
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 12 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 148 ( 49 ~; 75 |; 19 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 73 ( 3 sgn 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/tmpubMEew/sel_theBenchmark.p_1',oag5) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
=> ( ( unequally_directed_lines(X1,X3)
& unequally_directed_lines(X1,reverse_line(X3)) )
| ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpubMEew/sel_theBenchmark.p_1',oag7) ).
fof(3,axiom,
! [X1,X2,X3] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpubMEew/sel_theBenchmark.p_1',oag6) ).
fof(4,conjecture,
! [X1,X2,X3] :
( ( ~ unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X1,X3) )
=> ~ unequally_directed_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox2/tmp/tmpubMEew/sel_theBenchmark.p_1',con) ).
fof(5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X1,X3) )
=> ~ unequally_directed_lines(X2,reverse_line(X3)) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(6,plain,
! [X1] : ~ unequally_directed_lines(X1,X1),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(7,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X1,X3) )
=> ~ unequally_directed_lines(X2,reverse_line(X3)) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(8,plain,
! [X2] : ~ unequally_directed_lines(X2,X2),
inference(variable_rename,[status(thm)],[6]) ).
cnf(9,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[8]) ).
fof(10,plain,
! [X1,X2,X3] :
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ( unequally_directed_lines(X1,X3)
& unequally_directed_lines(X1,reverse_line(X3)) )
| ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(11,plain,
! [X4,X5,X6] :
( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5))
| ( unequally_directed_lines(X4,X6)
& unequally_directed_lines(X4,reverse_line(X6)) )
| ( unequally_directed_lines(X5,X6)
& unequally_directed_lines(X5,reverse_line(X6)) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X4,X5,X6] :
( ( unequally_directed_lines(X5,X6)
| unequally_directed_lines(X4,X6)
| ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5)) )
& ( unequally_directed_lines(X5,reverse_line(X6))
| unequally_directed_lines(X4,X6)
| ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5)) )
& ( unequally_directed_lines(X5,X6)
| unequally_directed_lines(X4,reverse_line(X6))
| ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5)) )
& ( unequally_directed_lines(X5,reverse_line(X6))
| unequally_directed_lines(X4,reverse_line(X6))
| ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5)) ) ),
inference(distribute,[status(thm)],[11]) ).
cnf(14,plain,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(15,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[12]) ).
fof(17,plain,
! [X1,X2,X3] :
( ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(18,plain,
! [X4,X5,X6] :
( ~ unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,X6)
| unequally_directed_lines(X5,X6) ),
inference(variable_rename,[status(thm)],[17]) ).
cnf(19,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,negated_conjecture,
? [X1,X2,X3] :
( ~ unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X1,X3)
& unequally_directed_lines(X2,reverse_line(X3)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(21,negated_conjecture,
? [X4,X5,X6] :
( ~ unequally_directed_lines(X4,reverse_line(X5))
& ~ unequally_directed_lines(X4,X6)
& unequally_directed_lines(X5,reverse_line(X6)) ),
inference(variable_rename,[status(thm)],[20]) ).
fof(22,negated_conjecture,
( ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0))
& ~ unequally_directed_lines(esk1_0,esk3_0)
& unequally_directed_lines(esk2_0,reverse_line(esk3_0)) ),
inference(skolemize,[status(esa)],[21]) ).
cnf(23,negated_conjecture,
unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(24,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(25,negated_conjecture,
~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(26,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),X1)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[19,23,theory(equality)]) ).
cnf(28,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(X1))
| unequally_directed_lines(esk3_0,X1)
| ~ unequally_directed_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[14,23,theory(equality)]) ).
cnf(32,negated_conjecture,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(reverse_line(esk3_0),X2)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[19,26,theory(equality)]) ).
cnf(33,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),reverse_line(X1))
| unequally_directed_lines(X2,X1)
| unequally_directed_lines(esk2_0,reverse_line(X2))
| ~ unequally_directed_lines(reverse_line(esk3_0),X2) ),
inference(spm,[status(thm)],[14,26,theory(equality)]) ).
cnf(42,negated_conjecture,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| unequally_directed_lines(reverse_line(esk3_0),X1)
| unequally_directed_lines(esk2_0,X3) ),
inference(spm,[status(thm)],[19,32,theory(equality)]) ).
cnf(56,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk2_0,X2)
| unequally_directed_lines(esk3_0,X1)
| ~ unequally_directed_lines(esk2_0,X1)
| ~ unequally_directed_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[15,28,theory(equality)]) ).
cnf(235,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),esk2_0)
| unequally_directed_lines(X6,X6)
| unequally_directed_lines(esk2_0,X6) ),
inference(ef,[status(thm)],[42,theory(equality)]) ).
cnf(265,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),esk2_0)
| unequally_directed_lines(esk2_0,X6) ),
inference(sr,[status(thm)],[235,9,theory(equality)]) ).
cnf(279,negated_conjecture,
( unequally_directed_lines(reverse_line(esk3_0),reverse_line(X1))
| unequally_directed_lines(esk2_0,reverse_line(esk2_0))
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk2_0,X2) ),
inference(spm,[status(thm)],[33,265,theory(equality)]) ).
cnf(866,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk2_0,X2)
| unequally_directed_lines(esk3_0,X1)
| ~ unequally_directed_lines(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[56,19]) ).
cnf(868,negated_conjecture,
( unequally_directed_lines(esk3_0,esk1_0)
| unequally_directed_lines(esk2_0,esk2_0)
| ~ unequally_directed_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[25,866,theory(equality)]) ).
cnf(878,negated_conjecture,
( unequally_directed_lines(esk3_0,esk1_0)
| ~ unequally_directed_lines(esk2_0,esk3_0) ),
inference(sr,[status(thm)],[868,9,theory(equality)]) ).
cnf(981,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(esk2_0))
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[9,279,theory(equality)]) ).
cnf(1000,negated_conjecture,
( unequally_directed_lines(esk2_0,esk3_0)
| unequally_directed_lines(esk2_0,reverse_line(esk2_0)) ),
inference(ef,[status(thm)],[981,theory(equality)]) ).
cnf(1016,negated_conjecture,
( unequally_directed_lines(reverse_line(esk2_0),X1)
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[19,1000,theory(equality)]) ).
cnf(1024,negated_conjecture,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(reverse_line(esk2_0),X2)
| unequally_directed_lines(esk2_0,esk3_0)
| unequally_directed_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[19,1016,theory(equality)]) ).
cnf(1129,negated_conjecture,
( unequally_directed_lines(esk2_0,esk3_0)
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(X1,reverse_line(esk2_0)) ),
inference(spm,[status(thm)],[9,1024,theory(equality)]) ).
cnf(1252,negated_conjecture,
( unequally_directed_lines(esk2_0,esk3_0)
| unequally_directed_lines(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[25,1129,theory(equality)]) ).
cnf(1266,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(esk2_0,X1)
| unequally_directed_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[19,1252,theory(equality)]) ).
cnf(1271,negated_conjecture,
( unequally_directed_lines(esk2_0,esk3_0)
| unequally_directed_lines(esk1_0,esk3_0) ),
inference(ef,[status(thm)],[1266,theory(equality)]) ).
cnf(1287,negated_conjecture,
unequally_directed_lines(esk2_0,esk3_0),
inference(sr,[status(thm)],[1271,24,theory(equality)]) ).
cnf(1314,negated_conjecture,
( unequally_directed_lines(esk3_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[878,1287,theory(equality)]) ).
cnf(1315,negated_conjecture,
unequally_directed_lines(esk3_0,esk1_0),
inference(cn,[status(thm)],[1314,theory(equality)]) ).
cnf(1333,negated_conjecture,
( unequally_directed_lines(esk1_0,X1)
| unequally_directed_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[19,1315,theory(equality)]) ).
cnf(1375,negated_conjecture,
unequally_directed_lines(esk3_0,esk3_0),
inference(spm,[status(thm)],[24,1333,theory(equality)]) ).
cnf(1384,negated_conjecture,
$false,
inference(sr,[status(thm)],[1375,9,theory(equality)]) ).
cnf(1385,negated_conjecture,
$false,
1384,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO231+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n005.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 16091.75MB
% 0.02/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Apr 1 11:10:38 CDT 2016
% 0.02/0.22 % CPUTime :
% 0.02/0.26 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.26 --creating new selector for [GEO007+0.ax]
% 0.06/0.35 -running prover on /export/starexec/sandbox2/tmp/tmpubMEew/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.35 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpubMEew/sel_theBenchmark.p_1']
% 0.06/0.35 -prover status Theorem
% 0.06/0.35 Problem theBenchmark.p solved in phase 0.
% 0.06/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 Solved 1 out of 1.
% 0.06/0.35 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.35 # SZS status Theorem
% 0.06/0.35 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.35 # SZS output end CNFRefutation
%------------------------------------------------------------------------------