TSTP Solution File: NUM480+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM480+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n085.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 15:21:29 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 62 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 19 ~; 23 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(12,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/tmp/tmpysDwMC/sel_theBenchmark.p_1',m__1524) ).
fof(26,conjecture,
( ( aNaturalNumber0(sdtsldt0(xm,xl))
& equal(xm,sdtasdt0(xl,sdtsldt0(xm,xl))) )
=> ( equal(sdtasdt0(xn,xm),sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))))
| equal(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(sdtasdt0(xn,xm),xl)) ) ),
file('/export/starexec/sandbox/tmp/tmpysDwMC/sel_theBenchmark.p_1',m__) ).
fof(27,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> equal(sdtasdt0(sdtasdt0(X1,X2),X3),sdtasdt0(X1,sdtasdt0(X2,X3))) ),
file('/export/starexec/sandbox/tmp/tmpysDwMC/sel_theBenchmark.p_1',mMulAsso) ).
fof(32,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/tmpysDwMC/sel_theBenchmark.p_1',m__1553) ).
fof(38,axiom,
( aNaturalNumber0(sdtsldt0(xm,xl))
& equal(xm,sdtasdt0(xl,sdtsldt0(xm,xl)))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& equal(sdtasdt0(xn,xm),sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)))
& equal(sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))) ),
file('/export/starexec/sandbox/tmp/tmpysDwMC/sel_theBenchmark.p_1',m__1594) ).
fof(41,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xm,xl))
& equal(xm,sdtasdt0(xl,sdtsldt0(xm,xl))) )
=> ( equal(sdtasdt0(xn,xm),sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))))
| equal(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(sdtasdt0(xn,xm),xl)) ) ),
inference(assume_negation,[status(cth)],[26]) ).
cnf(90,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[12]) ).
fof(152,negated_conjecture,
( aNaturalNumber0(sdtsldt0(xm,xl))
& equal(xm,sdtasdt0(xl,sdtsldt0(xm,xl)))
& ~ equal(sdtasdt0(xn,xm),sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))))
& ~ equal(sdtasdt0(xn,sdtsldt0(xm,xl)),sdtsldt0(sdtasdt0(xn,xm),xl)) ),
inference(fof_nnf,[status(thm)],[41]) ).
cnf(154,negated_conjecture,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(split_conjunct,[status(thm)],[152]) ).
cnf(156,negated_conjecture,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(split_conjunct,[status(thm)],[152]) ).
fof(157,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| equal(sdtasdt0(sdtasdt0(X1,X2),X3),sdtasdt0(X1,sdtasdt0(X2,X3))) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(158,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(sdtasdt0(sdtasdt0(X4,X5),X6),sdtasdt0(X4,sdtasdt0(X5,X6))) ),
inference(variable_rename,[status(thm)],[157]) ).
cnf(159,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(178,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(194,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(195,plain,
sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(310,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xn,xm),
inference(rw,[status(thm)],[194,195,theory(equality)]) ).
cnf(424,plain,
( sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xn,xm)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[310,159,theory(equality)]) ).
cnf(451,plain,
( sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xn,xm)
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[424,156,theory(equality)]) ).
cnf(452,plain,
( sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xn,xm)
| $false
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[451,178,theory(equality)]) ).
cnf(453,plain,
( sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xn,xm)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[452,90,theory(equality)]) ).
cnf(454,plain,
sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) = sdtasdt0(xn,xm),
inference(cn,[status(thm)],[453,theory(equality)]) ).
cnf(455,plain,
$false,
inference(sr,[status(thm)],[454,154,theory(equality)]) ).
cnf(456,plain,
$false,
455,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM480+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n085.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 05:16:00 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.07/0.35 -running prover on /export/starexec/sandbox/tmp/tmpysDwMC/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/tmpysDwMC/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
%------------------------------------------------------------------------------