TSTP Solution File: NUM291+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM291+1 : TPTP v7.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n104.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 15:02:04 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 69 ( 32 ~; 24 |; 10 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(56,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/tmp/tmp_7pkM6/sel_theBenchmark.p_1',rdn2) ).
fof(57,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox/tmp/tmp_7pkM6/sel_theBenchmark.p_1',rdn3) ).
fof(100,axiom,
! [X1,X2,X3,X4] :
( ( rdn_translate(X1,rdn_pos(X3))
& rdn_translate(X2,rdn_pos(X4))
& rdn_positive_less(X3,X4) )
=> less(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp_7pkM6/sel_theBenchmark.p_1',less_entry_point_pos_pos) ).
fof(109,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/tmp/tmp_7pkM6/sel_theBenchmark.p_1',rdn_positive_less23) ).
fof(112,axiom,
! [X1,X2] :
( less(X1,X2)
<=> ( ~ less(X2,X1)
& ~ equal(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp_7pkM6/sel_theBenchmark.p_1',less_property) ).
fof(126,conjecture,
~ less(n3,n2),
file('/export/starexec/sandbox/tmp/tmp_7pkM6/sel_theBenchmark.p_1',n3_not_less_n2) ).
fof(127,negated_conjecture,
~ ~ less(n3,n2),
inference(assume_negation,[status(cth)],[126]) ).
fof(128,plain,
! [X1,X2] :
( less(X1,X2)
<=> ( ~ less(X2,X1)
& ~ equal(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[112,theory(equality)]) ).
fof(129,negated_conjecture,
less(n3,n2),
inference(fof_simplification,[status(thm)],[127,theory(equality)]) ).
cnf(191,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(192,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[57]) ).
fof(235,plain,
! [X1,X2,X3,X4] :
( ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_positive_less(X3,X4)
| less(X1,X2) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(236,plain,
! [X5,X6,X7,X8] :
( ~ rdn_translate(X5,rdn_pos(X7))
| ~ rdn_translate(X6,rdn_pos(X8))
| ~ rdn_positive_less(X7,X8)
| less(X5,X6) ),
inference(variable_rename,[status(thm)],[235]) ).
cnf(237,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(split_conjunct,[status(thm)],[236]) ).
cnf(246,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[109]) ).
fof(249,plain,
! [X1,X2] :
( ( ~ less(X1,X2)
| ( ~ less(X2,X1)
& ~ equal(X2,X1) ) )
& ( less(X2,X1)
| equal(X2,X1)
| less(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[128]) ).
fof(250,plain,
! [X3,X4] :
( ( ~ less(X3,X4)
| ( ~ less(X4,X3)
& ~ equal(X4,X3) ) )
& ( less(X4,X3)
| equal(X4,X3)
| less(X3,X4) ) ),
inference(variable_rename,[status(thm)],[249]) ).
fof(251,plain,
! [X3,X4] :
( ( ~ less(X4,X3)
| ~ less(X3,X4) )
& ( ~ equal(X4,X3)
| ~ less(X3,X4) )
& ( less(X4,X3)
| equal(X4,X3)
| less(X3,X4) ) ),
inference(distribute,[status(thm)],[250]) ).
cnf(254,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[251]) ).
cnf(270,negated_conjecture,
less(n3,n2),
inference(split_conjunct,[status(thm)],[129]) ).
cnf(272,negated_conjecture,
~ less(n2,n3),
inference(spm,[status(thm)],[254,270,theory(equality)]) ).
cnf(287,plain,
( less(X1,n3)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_positive_less(X2,rdnn(n3)) ),
inference(spm,[status(thm)],[237,192,theory(equality)]) ).
cnf(316,plain,
( less(n2,n3)
| ~ rdn_positive_less(rdnn(n2),rdnn(n3)) ),
inference(spm,[status(thm)],[287,191,theory(equality)]) ).
cnf(326,plain,
( less(n2,n3)
| $false ),
inference(rw,[status(thm)],[316,246,theory(equality)]) ).
cnf(327,plain,
less(n2,n3),
inference(cn,[status(thm)],[326,theory(equality)]) ).
cnf(328,plain,
$false,
inference(sr,[status(thm)],[327,272,theory(equality)]) ).
cnf(329,plain,
$false,
328,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM291+1 : TPTP v7.0.0. Released v3.1.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n104.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 00:36:30 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 --creating new selector for [NUM005+1.ax, NUM005+0.ax, NUM005+2.ax]
% 0.07/0.37 -running prover on /export/starexec/sandbox/tmp/tmp_7pkM6/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.37 -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/tmp_7pkM6/sel_theBenchmark.p_1']
% 0.07/0.37 -prover status Theorem
% 0.07/0.37 Problem theBenchmark.p solved in phase 0.
% 0.07/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.37 % 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
% 0.07/0.38 # SZS output end CNFRefutation
%------------------------------------------------------------------------------