TSTP Solution File: NUM412+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM412+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 15:21:16 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 5 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 187 ( 80 ~; 75 |; 22 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 3 sgn 40 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ( relation(X2)
& function(X2)
& transfinite_sequence(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpA6ZwVl/sel_theBenchmark.p_1',dt_m1_ordinal1) ).
fof(20,axiom,
! [X1,X2] :
( subset(X1,X2)
=> ! [X3] :
( transfinite_sequence_of(X3,X1)
=> transfinite_sequence_of(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpA6ZwVl/sel_theBenchmark.p_1',t47_ordinal1) ).
fof(27,conjecture,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ! [X3] :
( ordinal(X3)
=> transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpA6ZwVl/sel_theBenchmark.p_1',t48_ordinal1) ).
fof(35,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2)
& transfinite_sequence(X2) )
=> ( transfinite_sequence_of(X2,X1)
<=> subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpA6ZwVl/sel_theBenchmark.p_1',d8_ordinal1) ).
fof(48,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& transfinite_sequence(X1)
& ordinal(X2) )
=> transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpA6ZwVl/sel_theBenchmark.p_1',dt_k2_ordinal1) ).
fof(49,negated_conjecture,
~ ! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ! [X3] :
( ordinal(X3)
=> transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
inference(assume_negation,[status(cth)],[27]) ).
fof(86,plain,
! [X1,X2] :
( ~ transfinite_sequence_of(X2,X1)
| ( relation(X2)
& function(X2)
& transfinite_sequence(X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(87,plain,
! [X3,X4] :
( ~ transfinite_sequence_of(X4,X3)
| ( relation(X4)
& function(X4)
& transfinite_sequence(X4) ) ),
inference(variable_rename,[status(thm)],[86]) ).
fof(88,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)],[87]) ).
cnf(89,plain,
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(90,plain,
( function(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[88]) ).
cnf(91,plain,
( relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[88]) ).
fof(136,plain,
! [X1,X2] :
( ~ subset(X1,X2)
| ! [X3] :
( ~ transfinite_sequence_of(X3,X1)
| transfinite_sequence_of(X3,X2) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(137,plain,
! [X4,X5] :
( ~ subset(X4,X5)
| ! [X6] :
( ~ transfinite_sequence_of(X6,X4)
| transfinite_sequence_of(X6,X5) ) ),
inference(variable_rename,[status(thm)],[136]) ).
fof(138,plain,
! [X4,X5,X6] :
( ~ transfinite_sequence_of(X6,X4)
| transfinite_sequence_of(X6,X5)
| ~ subset(X4,X5) ),
inference(shift_quantors,[status(thm)],[137]) ).
cnf(139,plain,
( transfinite_sequence_of(X3,X2)
| ~ subset(X1,X2)
| ~ transfinite_sequence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[138]) ).
fof(160,negated_conjecture,
? [X1,X2] :
( transfinite_sequence_of(X2,X1)
& ? [X3] :
( ordinal(X3)
& ~ transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(161,negated_conjecture,
? [X4,X5] :
( transfinite_sequence_of(X5,X4)
& ? [X6] :
( ordinal(X6)
& ~ transfinite_sequence_of(tseq_dom_restriction(X5,X6),X4) ) ),
inference(variable_rename,[status(thm)],[160]) ).
fof(162,negated_conjecture,
( transfinite_sequence_of(esk9_0,esk8_0)
& ordinal(esk10_0)
& ~ transfinite_sequence_of(tseq_dom_restriction(esk9_0,esk10_0),esk8_0) ),
inference(skolemize,[status(esa)],[161]) ).
cnf(163,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(esk9_0,esk10_0),esk8_0),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(164,negated_conjecture,
ordinal(esk10_0),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(165,negated_conjecture,
transfinite_sequence_of(esk9_0,esk8_0),
inference(split_conjunct,[status(thm)],[162]) ).
fof(195,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)],[35]) ).
fof(196,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)],[195]) ).
fof(197,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)],[196]) ).
cnf(199,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[197]) ).
fof(246,plain,
! [X1,X2] :
( ~ relation(X1)
| ~ function(X1)
| ~ transfinite_sequence(X1)
| ~ ordinal(X2)
| transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1)) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(247,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ transfinite_sequence(X3)
| ~ ordinal(X4)
| transfinite_sequence_of(tseq_dom_restriction(X3,X4),relation_rng(X3)) ),
inference(variable_rename,[status(thm)],[246]) ).
cnf(248,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ ordinal(X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[247]) ).
cnf(322,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence_of(X1,X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[199,89]) ).
cnf(323,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence_of(X1,X2)
| ~ relation(X1) ),
inference(csr,[status(thm)],[322,90]) ).
cnf(324,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence_of(X1,X2) ),
inference(csr,[status(thm)],[323,91]) ).
cnf(325,plain,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence_of(X1,relation_rng(X3))
| ~ transfinite_sequence_of(X3,X2) ),
inference(spm,[status(thm)],[139,324,theory(equality)]) ).
cnf(595,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),X3)
| ~ transfinite_sequence_of(X1,X3)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[325,248,theory(equality)]) ).
cnf(3016,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),X3)
| ~ transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X3)
| ~ function(X1)
| ~ ordinal(X2) ),
inference(csr,[status(thm)],[595,91]) ).
cnf(3017,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),X3)
| ~ transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X3)
| ~ ordinal(X2) ),
inference(csr,[status(thm)],[3016,90]) ).
cnf(3018,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),X3)
| ~ transfinite_sequence_of(X1,X3)
| ~ ordinal(X2) ),
inference(csr,[status(thm)],[3017,89]) ).
cnf(3019,negated_conjecture,
( ~ transfinite_sequence_of(esk9_0,esk8_0)
| ~ ordinal(esk10_0) ),
inference(spm,[status(thm)],[163,3018,theory(equality)]) ).
cnf(3041,negated_conjecture,
( $false
| ~ ordinal(esk10_0) ),
inference(rw,[status(thm)],[3019,165,theory(equality)]) ).
cnf(3042,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[3041,164,theory(equality)]) ).
cnf(3043,negated_conjecture,
$false,
inference(cn,[status(thm)],[3042,theory(equality)]) ).
cnf(3044,negated_conjecture,
$false,
3043,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM412+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 : n037.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 03:43:30 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.06/0.39 -running prover on /export/starexec/sandbox2/tmp/tmpA6ZwVl/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.39 -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/tmpA6ZwVl/sel_theBenchmark.p_1']
% 0.06/0.39 -prover status Theorem
% 0.06/0.39 Problem theBenchmark.p solved in phase 0.
% 0.06/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.39 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.39 Solved 1 out of 1.
% 0.06/0.39 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.39 # SZS status Theorem
% 0.06/0.39 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.40 # SZS output end CNFRefutation
%------------------------------------------------------------------------------