TSTP Solution File: NUM394+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM394+1 : TPTP v7.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n042.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:14 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 168 ( 5 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 196 ( 78 ~; 74 |; 31 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 59 ( 2 sgn 42 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/tmp/tmp6R21j0/sel_theBenchmark.p_1',reflexivity_r1_tarski) ).
fof(13,axiom,
! [X1] :
( ordinal(X1)
=> ( epsilon_transitive(X1)
& epsilon_connected(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp6R21j0/sel_theBenchmark.p_1',cc1_ordinal1) ).
fof(16,conjecture,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ( ordinal_subset(X1,X2)
| in(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp6R21j0/sel_theBenchmark.p_1',t26_ordinal1) ).
fof(20,axiom,
! [X1,X2] :
( ( ordinal(X1)
& ordinal(X2) )
=> ( ordinal_subset(X1,X2)
<=> subset(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp6R21j0/sel_theBenchmark.p_1',redefinition_r1_ordinal1) ).
fof(21,axiom,
! [X1] :
( epsilon_transitive(X1)
<=> ! [X2] :
( in(X2,X1)
=> subset(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp6R21j0/sel_theBenchmark.p_1',d2_ordinal1) ).
fof(22,axiom,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ in(X1,X2)
& ~ equal(X1,X2)
& ~ in(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp6R21j0/sel_theBenchmark.p_1',t24_ordinal1) ).
fof(37,negated_conjecture,
~ ! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ( ordinal_subset(X1,X2)
| in(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(41,plain,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ in(X1,X2)
& ~ equal(X1,X2)
& ~ in(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(63,plain,
! [X3,X4] : subset(X3,X3),
inference(variable_rename,[status(thm)],[7]) ).
cnf(64,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[63]) ).
fof(84,plain,
! [X1] :
( ~ ordinal(X1)
| ( epsilon_transitive(X1)
& epsilon_connected(X1) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(85,plain,
! [X2] :
( ~ ordinal(X2)
| ( epsilon_transitive(X2)
& epsilon_connected(X2) ) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,plain,
! [X2] :
( ( epsilon_transitive(X2)
| ~ ordinal(X2) )
& ( epsilon_connected(X2)
| ~ ordinal(X2) ) ),
inference(distribute,[status(thm)],[85]) ).
cnf(88,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(94,negated_conjecture,
? [X1] :
( ordinal(X1)
& ? [X2] :
( ordinal(X2)
& ~ ordinal_subset(X1,X2)
& ~ in(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(95,negated_conjecture,
? [X3] :
( ordinal(X3)
& ? [X4] :
( ordinal(X4)
& ~ ordinal_subset(X3,X4)
& ~ in(X4,X3) ) ),
inference(variable_rename,[status(thm)],[94]) ).
fof(96,negated_conjecture,
( ordinal(esk6_0)
& ordinal(esk7_0)
& ~ ordinal_subset(esk6_0,esk7_0)
& ~ in(esk7_0,esk6_0) ),
inference(skolemize,[status(esa)],[95]) ).
cnf(97,negated_conjecture,
~ in(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(98,negated_conjecture,
~ ordinal_subset(esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(99,negated_conjecture,
ordinal(esk7_0),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(100,negated_conjecture,
ordinal(esk6_0),
inference(split_conjunct,[status(thm)],[96]) ).
fof(116,plain,
! [X1,X2] :
( ~ ordinal(X1)
| ~ ordinal(X2)
| ( ( ~ ordinal_subset(X1,X2)
| subset(X1,X2) )
& ( ~ subset(X1,X2)
| ordinal_subset(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(117,plain,
! [X3,X4] :
( ~ ordinal(X3)
| ~ ordinal(X4)
| ( ( ~ ordinal_subset(X3,X4)
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| ordinal_subset(X3,X4) ) ) ),
inference(variable_rename,[status(thm)],[116]) ).
fof(118,plain,
! [X3,X4] :
( ( ~ ordinal_subset(X3,X4)
| subset(X3,X4)
| ~ ordinal(X3)
| ~ ordinal(X4) )
& ( ~ subset(X3,X4)
| ordinal_subset(X3,X4)
| ~ ordinal(X3)
| ~ ordinal(X4) ) ),
inference(distribute,[status(thm)],[117]) ).
cnf(119,plain,
( ordinal_subset(X2,X1)
| ~ ordinal(X1)
| ~ ordinal(X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[118]) ).
fof(121,plain,
! [X1] :
( ( ~ epsilon_transitive(X1)
| ! [X2] :
( ~ in(X2,X1)
| subset(X2,X1) ) )
& ( ? [X2] :
( in(X2,X1)
& ~ subset(X2,X1) )
| epsilon_transitive(X1) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(122,plain,
! [X3] :
( ( ~ epsilon_transitive(X3)
| ! [X4] :
( ~ in(X4,X3)
| subset(X4,X3) ) )
& ( ? [X5] :
( in(X5,X3)
& ~ subset(X5,X3) )
| epsilon_transitive(X3) ) ),
inference(variable_rename,[status(thm)],[121]) ).
fof(123,plain,
! [X3] :
( ( ~ epsilon_transitive(X3)
| ! [X4] :
( ~ in(X4,X3)
| subset(X4,X3) ) )
& ( ( in(esk10_1(X3),X3)
& ~ subset(esk10_1(X3),X3) )
| epsilon_transitive(X3) ) ),
inference(skolemize,[status(esa)],[122]) ).
fof(124,plain,
! [X3,X4] :
( ( ~ in(X4,X3)
| subset(X4,X3)
| ~ epsilon_transitive(X3) )
& ( ( in(esk10_1(X3),X3)
& ~ subset(esk10_1(X3),X3) )
| epsilon_transitive(X3) ) ),
inference(shift_quantors,[status(thm)],[123]) ).
fof(125,plain,
! [X3,X4] :
( ( ~ in(X4,X3)
| subset(X4,X3)
| ~ epsilon_transitive(X3) )
& ( in(esk10_1(X3),X3)
| epsilon_transitive(X3) )
& ( ~ subset(esk10_1(X3),X3)
| epsilon_transitive(X3) ) ),
inference(distribute,[status(thm)],[124]) ).
cnf(128,plain,
( subset(X2,X1)
| ~ epsilon_transitive(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[125]) ).
fof(129,plain,
! [X1] :
( ~ ordinal(X1)
| ! [X2] :
( ~ ordinal(X2)
| in(X1,X2)
| equal(X1,X2)
| in(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(130,plain,
! [X3] :
( ~ ordinal(X3)
| ! [X4] :
( ~ ordinal(X4)
| in(X3,X4)
| equal(X3,X4)
| in(X4,X3) ) ),
inference(variable_rename,[status(thm)],[129]) ).
fof(131,plain,
! [X3,X4] :
( ~ ordinal(X4)
| in(X3,X4)
| equal(X3,X4)
| in(X4,X3)
| ~ ordinal(X3) ),
inference(shift_quantors,[status(thm)],[130]) ).
cnf(132,plain,
( in(X2,X1)
| X1 = X2
| in(X1,X2)
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(split_conjunct,[status(thm)],[131]) ).
cnf(201,negated_conjecture,
( ~ subset(esk6_0,esk7_0)
| ~ ordinal(esk6_0)
| ~ ordinal(esk7_0) ),
inference(spm,[status(thm)],[98,119,theory(equality)]) ).
cnf(202,negated_conjecture,
( ~ subset(esk6_0,esk7_0)
| $false
| ~ ordinal(esk7_0) ),
inference(rw,[status(thm)],[201,100,theory(equality)]) ).
cnf(203,negated_conjecture,
( ~ subset(esk6_0,esk7_0)
| $false
| $false ),
inference(rw,[status(thm)],[202,99,theory(equality)]) ).
cnf(204,negated_conjecture,
~ subset(esk6_0,esk7_0),
inference(cn,[status(thm)],[203,theory(equality)]) ).
cnf(208,negated_conjecture,
( X1 = esk6_0
| in(X1,esk6_0)
| in(esk6_0,X1)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[132,100,theory(equality)]) ).
cnf(214,plain,
( subset(X1,X2)
| ~ in(X1,X2)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[128,88,theory(equality)]) ).
cnf(299,negated_conjecture,
( esk7_0 = esk6_0
| in(esk6_0,esk7_0)
| in(esk7_0,esk6_0) ),
inference(spm,[status(thm)],[208,99,theory(equality)]) ).
cnf(301,negated_conjecture,
( esk7_0 = esk6_0
| in(esk6_0,esk7_0) ),
inference(sr,[status(thm)],[299,97,theory(equality)]) ).
cnf(330,negated_conjecture,
( ~ in(esk6_0,esk7_0)
| ~ ordinal(esk7_0) ),
inference(spm,[status(thm)],[204,214,theory(equality)]) ).
cnf(333,negated_conjecture,
( ~ in(esk6_0,esk7_0)
| $false ),
inference(rw,[status(thm)],[330,99,theory(equality)]) ).
cnf(334,negated_conjecture,
~ in(esk6_0,esk7_0),
inference(cn,[status(thm)],[333,theory(equality)]) ).
cnf(335,negated_conjecture,
esk7_0 = esk6_0,
inference(sr,[status(thm)],[301,334,theory(equality)]) ).
cnf(345,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[204,335,theory(equality)]),64,theory(equality)]) ).
cnf(346,negated_conjecture,
$false,
inference(cn,[status(thm)],[345,theory(equality)]) ).
cnf(347,negated_conjecture,
$false,
346,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM394+1 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n042.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 03:50:30 CST 2018
% 0.03/0.23 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.35 -running prover on /export/starexec/sandbox/tmp/tmp6R21j0/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.35 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmp6R21j0/sel_theBenchmark.p_1']
% 0.07/0.35 -prover status Theorem
% 0.07/0.35 Problem theBenchmark.p solved in phase 0.
% 0.07/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 Solved 1 out of 1.
% 0.07/0.35 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.35 # SZS status Theorem
% 0.07/0.35 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.35 # SZS output end CNFRefutation
%------------------------------------------------------------------------------