%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM411+1 : TPTP v7.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n037.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 15:21:15 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 158 ( 68 ~; 62 |; 20 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 71 ( 5 sgn 35 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ( relation(X2)
& function(X2)
& transfinite_sequence(X2) ) ),
file('/export/starexec/sandbox/tmp/tmpFw0SGG/sel_theBenchmark.p_1',dt_m1_ordinal1) ).
fof(4,axiom,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmpFw0SGG/sel_theBenchmark.p_1',t1_xboole_1) ).
fof(11,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/tmp/tmpFw0SGG/sel_theBenchmark.p_1',reflexivity_r1_tarski) ).
fof(25,conjecture,
! [X1,X2] :
( subset(X1,X2)
=> ! [X3] :
( transfinite_sequence_of(X3,X1)
=> transfinite_sequence_of(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmpFw0SGG/sel_theBenchmark.p_1',t47_ordinal1) ).
fof(32,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2)
& transfinite_sequence(X2) )
=> ( transfinite_sequence_of(X2,X1)
<=> subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/tmp/tmpFw0SGG/sel_theBenchmark.p_1',d8_ordinal1) ).
fof(44,negated_conjecture,
~ ! [X1,X2] :
( subset(X1,X2)
=> ! [X3] :
( transfinite_sequence_of(X3,X1)
=> transfinite_sequence_of(X3,X2) ) ),
inference(assume_negation,[status(cth)],[25]) ).
fof(58,plain,
! [X1,X2] :
( ~ transfinite_sequence_of(X2,X1)
| ( relation(X2)
& function(X2)
& transfinite_sequence(X2) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(59,plain,
! [X3,X4] :
( ~ transfinite_sequence_of(X4,X3)
| ( relation(X4)
& function(X4)
& transfinite_sequence(X4) ) ),
inference(variable_rename,[status(thm)],[58]) ).
fof(60,plain,
! [X3,X4] :
( ( relation(X4)
| ~ transfinite_sequence_of(X4,X3) )
& ( function(X4)
| ~ transfinite_sequence_of(X4,X3) )
& ( transfinite_sequence(X4)
| ~ transfinite_sequence_of(X4,X3) ) ),
inference(distribute,[status(thm)],[59]) ).
cnf(61,plain,
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(62,plain,
( function(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(63,plain,
( relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
fof(64,plain,
! [X1,X2,X3] :
( ~ subset(X1,X2)
| ~ subset(X2,X3)
| subset(X1,X3) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(65,plain,
! [X4,X5,X6] :
( ~ subset(X4,X5)
| ~ subset(X5,X6)
| subset(X4,X6) ),
inference(variable_rename,[status(thm)],[64]) ).
cnf(66,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
inference(split_conjunct,[status(thm)],[65]) ).
fof(97,plain,
! [X3,X4] : subset(X3,X3),
inference(variable_rename,[status(thm)],[11]) ).
cnf(98,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[97]) ).
fof(147,negated_conjecture,
? [X1,X2] :
( subset(X1,X2)
& ? [X3] :
( transfinite_sequence_of(X3,X1)
& ~ transfinite_sequence_of(X3,X2) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(148,negated_conjecture,
? [X4,X5] :
( subset(X4,X5)
& ? [X6] :
( transfinite_sequence_of(X6,X4)
& ~ transfinite_sequence_of(X6,X5) ) ),
inference(variable_rename,[status(thm)],[147]) ).
fof(149,negated_conjecture,
( subset(esk9_0,esk10_0)
& transfinite_sequence_of(esk11_0,esk9_0)
& ~ transfinite_sequence_of(esk11_0,esk10_0) ),
inference(skolemize,[status(esa)],[148]) ).
cnf(150,negated_conjecture,
~ transfinite_sequence_of(esk11_0,esk10_0),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(151,negated_conjecture,
transfinite_sequence_of(esk11_0,esk9_0),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(152,negated_conjecture,
subset(esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[149]) ).
fof(177,plain,
! [X1,X2] :
( ~ relation(X2)
| ~ function(X2)
| ~ transfinite_sequence(X2)
| ( ( ~ transfinite_sequence_of(X2,X1)
| subset(relation_rng(X2),X1) )
& ( ~ subset(relation_rng(X2),X1)
| transfinite_sequence_of(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(178,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ function(X4)
| ~ transfinite_sequence(X4)
| ( ( ~ transfinite_sequence_of(X4,X3)
| subset(relation_rng(X4),X3) )
& ( ~ subset(relation_rng(X4),X3)
| transfinite_sequence_of(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[177]) ).
fof(179,plain,
! [X3,X4] :
( ( ~ transfinite_sequence_of(X4,X3)
| subset(relation_rng(X4),X3)
| ~ relation(X4)
| ~ function(X4)
| ~ transfinite_sequence(X4) )
& ( ~ subset(relation_rng(X4),X3)
| transfinite_sequence_of(X4,X3)
| ~ relation(X4)
| ~ function(X4)
| ~ transfinite_sequence(X4) ) ),
inference(distribute,[status(thm)],[178]) ).
cnf(180,plain,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ subset(relation_rng(X1),X2) ),
inference(split_conjunct,[status(thm)],[179]) ).
cnf(181,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[179]) ).
cnf(247,negated_conjecture,
( subset(X1,esk10_0)
| ~ subset(X1,esk9_0) ),
inference(spm,[status(thm)],[66,152,theory(equality)]) ).
cnf(279,plain,
( subset(relation_rng(X1),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(csr,[status(thm)],[181,61]) ).
cnf(280,plain,
( subset(relation_rng(X1),X2)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(csr,[status(thm)],[279,62]) ).
cnf(281,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence_of(X1,X2) ),
inference(csr,[status(thm)],[280,63]) ).
cnf(319,negated_conjecture,
( subset(X1,esk10_0)
| ~ subset(X1,X2)
| ~ subset(X2,esk9_0) ),
inference(spm,[status(thm)],[66,247,theory(equality)]) ).
cnf(343,negated_conjecture,
( subset(X1,esk10_0)
| ~ subset(X1,relation_rng(X2))
| ~ transfinite_sequence_of(X2,esk9_0) ),
inference(spm,[status(thm)],[319,281,theory(equality)]) ).
cnf(437,negated_conjecture,
( subset(relation_rng(X1),esk10_0)
| ~ transfinite_sequence_of(X1,esk9_0) ),
inference(spm,[status(thm)],[343,98,theory(equality)]) ).
cnf(461,negated_conjecture,
( transfinite_sequence_of(X1,esk10_0)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,esk9_0) ),
inference(spm,[status(thm)],[180,437,theory(equality)]) ).
cnf(2127,negated_conjecture,
( transfinite_sequence_of(X1,esk10_0)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ transfinite_sequence_of(X1,esk9_0) ),
inference(csr,[status(thm)],[461,63]) ).
cnf(2128,negated_conjecture,
( transfinite_sequence_of(X1,esk10_0)
| ~ transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,esk9_0) ),
inference(csr,[status(thm)],[2127,62]) ).
cnf(2129,negated_conjecture,
( transfinite_sequence_of(X1,esk10_0)
| ~ transfinite_sequence_of(X1,esk9_0) ),
inference(csr,[status(thm)],[2128,61]) ).
cnf(2130,negated_conjecture,
~ transfinite_sequence_of(esk11_0,esk9_0),
inference(spm,[status(thm)],[150,2129,theory(equality)]) ).
cnf(2141,negated_conjecture,
$false,
inference(rw,[status(thm)],[2130,151,theory(equality)]) ).
cnf(2142,negated_conjecture,
$false,
inference(cn,[status(thm)],[2141,theory(equality)]) ).
cnf(2143,negated_conjecture,
$false,
2142,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM411+1 : TPTP v7.0.0. Released v3.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n037.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 03:45:14 CST 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.38 -running prover on /export/starexec/sandbox/tmp/tmpFw0SGG/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.38 -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/tmpFw0SGG/sel_theBenchmark.p_1']
% 0.07/0.38 -prover status Theorem
% 0.07/0.38 Problem theBenchmark.p solved in phase 0.
% 0.07/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.38 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.38 Solved 1 out of 1.
% 0.07/0.38 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.38 # SZS status Theorem
% 0.07/0.38 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.39 # SZS output end CNFRefutation
%------------------------------------------------------------------------------