TSTP Solution File: NUM457+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM457+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n110.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 15:21:24 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 116 ( 25 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 137 ( 54 ~; 64 |; 12 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmpE0FojV/sel_theBenchmark.p_1',mSortsC) ).
fof(7,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( ~ equal(X1,sz00)
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) )
=> equal(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpE0FojV/sel_theBenchmark.p_1',mMulCanc) ).
fof(10,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmpE0FojV/sel_theBenchmark.p_1',m__624) ).
fof(11,conjecture,
( equal(sdtasdt0(xm,xn),sz00)
=> ( equal(xm,sz00)
| equal(xn,sz00) ) ),
file('/export/starexec/sandbox/tmp/tmpE0FojV/sel_theBenchmark.p_1',m__) ).
fof(18,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpE0FojV/sel_theBenchmark.p_1',m_MulZero) ).
fof(19,negated_conjecture,
~ ( equal(sdtasdt0(xm,xn),sz00)
=> ( equal(xm,sz00)
| equal(xn,sz00) ) ),
inference(assume_negation,[status(cth)],[11]) ).
cnf(20,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[1]) ).
fof(38,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| equal(X1,sz00)
| ! [X2,X3] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) )
| equal(X2,X3) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(39,plain,
! [X4] :
( ~ aNaturalNumber0(X4)
| equal(X4,sz00)
| ! [X5,X6] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) )
| equal(X5,X6) ) ),
inference(variable_rename,[status(thm)],[38]) ).
fof(40,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) )
| equal(X5,X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) ),
inference(shift_quantors,[status(thm)],[39]) ).
fof(41,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) )
& ( ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[40]) ).
cnf(42,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(49,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(50,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[10]) ).
fof(51,negated_conjecture,
( equal(sdtasdt0(xm,xn),sz00)
& ~ equal(xm,sz00)
& ~ equal(xn,sz00) ),
inference(fof_nnf,[status(thm)],[19]) ).
cnf(52,negated_conjecture,
xn != sz00,
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,negated_conjecture,
xm != sz00,
inference(split_conjunct,[status(thm)],[51]) ).
cnf(54,negated_conjecture,
sdtasdt0(xm,xn) = sz00,
inference(split_conjunct,[status(thm)],[51]) ).
fof(81,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(82,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[81]) ).
fof(83,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aNaturalNumber0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[82]) ).
cnf(84,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[83]) ).
cnf(225,negated_conjecture,
( sz00 = xn
| xm = X1
| sz00 != sdtasdt0(X1,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[42,54,theory(equality)]) ).
cnf(239,negated_conjecture,
( sz00 = xn
| xm = X1
| sz00 != sdtasdt0(X1,xn)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[225,50,theory(equality)]) ).
cnf(240,negated_conjecture,
( sz00 = xn
| xm = X1
| sz00 != sdtasdt0(X1,xn)
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[239,49,theory(equality)]) ).
cnf(241,negated_conjecture,
( sz00 = xn
| xm = X1
| sz00 != sdtasdt0(X1,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[240,theory(equality)]) ).
cnf(242,negated_conjecture,
( xm = X1
| sdtasdt0(X1,xn) != sz00
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[241,52,theory(equality)]) ).
cnf(417,negated_conjecture,
( xm = sz00
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[242,84,theory(equality)]) ).
cnf(422,negated_conjecture,
( xm = sz00
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[417,20,theory(equality)]) ).
cnf(423,negated_conjecture,
( xm = sz00
| $false
| $false ),
inference(rw,[status(thm)],[422,49,theory(equality)]) ).
cnf(424,negated_conjecture,
xm = sz00,
inference(cn,[status(thm)],[423,theory(equality)]) ).
cnf(425,negated_conjecture,
$false,
inference(sr,[status(thm)],[424,53,theory(equality)]) ).
cnf(426,negated_conjecture,
$false,
425,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM457+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n110.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 04:30:45 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.27 --creating new selector for []
% 0.06/0.35 -running prover on /export/starexec/sandbox/tmp/tmpE0FojV/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.35 -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/tmpE0FojV/sel_theBenchmark.p_1']
% 0.06/0.35 -prover status Theorem
% 0.06/0.35 Problem theBenchmark.p solved in phase 0.
% 0.06/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.35 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.35 Solved 1 out of 1.
% 0.06/0.35 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.35 # SZS status Theorem
% 0.06/0.35 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.35 # SZS output end CNFRefutation
%------------------------------------------------------------------------------