TSTP Solution File: NUM849+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM849+1 : TPTP v7.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n075.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 15:22:30 EST 2018
% Result : Theorem 0.34s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 33 unt; 0 def)
% Number of atoms : 47 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 0 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] : equal(vmul(X1,vplus(X2,X3)),vplus(vmul(X1,X2),vmul(X1,X3))),
file('/export/starexec/sandbox2/tmp/tmpklF6Fl/sel_theBenchmark.p_1','ass(cond(281, 0), 0)') ).
fof(6,axiom,
! [X11,X12] : equal(vplus(X12,X11),vplus(X11,X12)),
file('/export/starexec/sandbox2/tmp/tmpklF6Fl/sel_theBenchmark.p_1','ass(cond(61, 0), 0)') ).
fof(9,axiom,
! [X18,X19] : equal(vmul(X18,X19),vmul(X19,X18)),
file('/export/starexec/sandbox2/tmp/tmpklF6Fl/sel_theBenchmark.p_1','ass(cond(270, 0), 0)') ).
fof(10,conjecture,
! [X20] :
( equal(vmul(vmul(vd448,vd449),X20),vmul(vd448,vmul(vd449,X20)))
=> equal(vmul(vmul(vd448,vd449),vsucc(X20)),vmul(vd448,vmul(vd449,vsucc(X20)))) ),
file('/export/starexec/sandbox2/tmp/tmpklF6Fl/sel_theBenchmark.p_1','qu(ind(296), imp(296))') ).
fof(12,axiom,
! [X24] : equal(vmul(v1,X24),X24),
file('/export/starexec/sandbox2/tmp/tmpklF6Fl/sel_theBenchmark.p_1','ass(cond(253, 0), 0)') ).
fof(14,axiom,
! [X27,X28] :
( equal(vplus(X27,vsucc(X28)),vsucc(vplus(X27,X28)))
& equal(vplus(X27,v1),vsucc(X27)) ),
file('/export/starexec/sandbox2/tmp/tmpklF6Fl/sel_theBenchmark.p_1','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(35,axiom,
! [X75,X76] : equal(vmul(vsucc(X75),X76),vplus(vmul(X75,X76),X76)),
file('/export/starexec/sandbox2/tmp/tmpklF6Fl/sel_theBenchmark.p_1','ass(cond(261, 0), 0)') ).
fof(39,negated_conjecture,
~ ! [X20] :
( equal(vmul(vmul(vd448,vd449),X20),vmul(vd448,vmul(vd449,X20)))
=> equal(vmul(vmul(vd448,vd449),vsucc(X20)),vmul(vd448,vmul(vd449,vsucc(X20)))) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(41,plain,
! [X4,X5,X6] : equal(vmul(X4,vplus(X5,X6)),vplus(vmul(X4,X5),vmul(X4,X6))),
inference(variable_rename,[status(thm)],[1]) ).
cnf(42,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[41]) ).
fof(52,plain,
! [X13,X14] : equal(vplus(X14,X13),vplus(X13,X14)),
inference(variable_rename,[status(thm)],[6]) ).
cnf(53,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[52]) ).
fof(60,plain,
! [X20,X21] : equal(vmul(X20,X21),vmul(X21,X20)),
inference(variable_rename,[status(thm)],[9]) ).
cnf(61,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[60]) ).
fof(62,negated_conjecture,
? [X20] :
( equal(vmul(vmul(vd448,vd449),X20),vmul(vd448,vmul(vd449,X20)))
& ~ equal(vmul(vmul(vd448,vd449),vsucc(X20)),vmul(vd448,vmul(vd449,vsucc(X20)))) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(63,negated_conjecture,
? [X21] :
( equal(vmul(vmul(vd448,vd449),X21),vmul(vd448,vmul(vd449,X21)))
& ~ equal(vmul(vmul(vd448,vd449),vsucc(X21)),vmul(vd448,vmul(vd449,vsucc(X21)))) ),
inference(variable_rename,[status(thm)],[62]) ).
fof(64,negated_conjecture,
( equal(vmul(vmul(vd448,vd449),esk1_0),vmul(vd448,vmul(vd449,esk1_0)))
& ~ equal(vmul(vmul(vd448,vd449),vsucc(esk1_0)),vmul(vd448,vmul(vd449,vsucc(esk1_0)))) ),
inference(skolemize,[status(esa)],[63]) ).
cnf(65,negated_conjecture,
vmul(vmul(vd448,vd449),vsucc(esk1_0)) != vmul(vd448,vmul(vd449,vsucc(esk1_0))),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(66,negated_conjecture,
vmul(vmul(vd448,vd449),esk1_0) = vmul(vd448,vmul(vd449,esk1_0)),
inference(split_conjunct,[status(thm)],[64]) ).
fof(71,plain,
! [X25] : equal(vmul(v1,X25),X25),
inference(variable_rename,[status(thm)],[12]) ).
cnf(72,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[71]) ).
fof(76,plain,
! [X29,X30] :
( equal(vplus(X29,vsucc(X30)),vsucc(vplus(X29,X30)))
& equal(vplus(X29,v1),vsucc(X29)) ),
inference(variable_rename,[status(thm)],[14]) ).
cnf(77,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[76]) ).
fof(140,plain,
! [X77,X78] : equal(vmul(vsucc(X77),X78),vplus(vmul(X77,X78),X78)),
inference(variable_rename,[status(thm)],[35]) ).
cnf(141,plain,
vmul(vsucc(X1),X2) = vplus(vmul(X1,X2),X2),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(153,plain,
vplus(vmul(X1,X2),X2) = vmul(vplus(X1,v1),X2),
inference(rw,[status(thm)],[141,77,theory(equality)]),
[unfolding] ).
cnf(160,negated_conjecture,
vmul(vmul(vd448,vd449),vplus(esk1_0,v1)) != vmul(vd448,vmul(vd449,vplus(esk1_0,v1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[65,77,theory(equality)]),77,theory(equality)]),
[unfolding] ).
cnf(176,plain,
vmul(X1,v1) = X1,
inference(spm,[status(thm)],[72,61,theory(equality)]) ).
cnf(183,negated_conjecture,
vmul(esk1_0,vmul(vd448,vd449)) = vmul(vd448,vmul(vd449,esk1_0)),
inference(rw,[status(thm)],[66,61,theory(equality)]) ).
cnf(204,plain,
vmul(vplus(X1,v1),X2) = vplus(X2,vmul(X1,X2)),
inference(rw,[status(thm)],[153,53,theory(equality)]) ).
cnf(207,negated_conjecture,
vmul(vplus(esk1_0,v1),vmul(vd448,vd449)) = vplus(vmul(vd448,vd449),vmul(vd448,vmul(vd449,esk1_0))),
inference(spm,[status(thm)],[204,183,theory(equality)]) ).
cnf(219,negated_conjecture,
vmul(vplus(v1,esk1_0),vmul(vd448,vd449)) = vplus(vmul(vd448,vd449),vmul(vd448,vmul(vd449,esk1_0))),
inference(rw,[status(thm)],[207,53,theory(equality)]) ).
cnf(281,negated_conjecture,
vmul(vplus(v1,esk1_0),vmul(vd448,vd449)) != vmul(vd448,vmul(vd449,vplus(esk1_0,v1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[160,53,theory(equality)]),61,theory(equality)]) ).
cnf(282,negated_conjecture,
vmul(vplus(v1,esk1_0),vmul(vd448,vd449)) != vmul(vd448,vmul(vd449,vplus(v1,esk1_0))),
inference(rw,[status(thm)],[281,53,theory(equality)]) ).
cnf(410,plain,
vplus(X1,vmul(X1,X2)) = vmul(X1,vplus(v1,X2)),
inference(spm,[status(thm)],[42,176,theory(equality)]) ).
cnf(709,negated_conjecture,
vmul(vd448,vplus(vd449,vmul(vd449,esk1_0))) = vmul(vplus(v1,esk1_0),vmul(vd448,vd449)),
inference(rw,[status(thm)],[219,42,theory(equality)]) ).
cnf(718,negated_conjecture,
vmul(vd448,vplus(vd449,vmul(vd449,esk1_0))) != vmul(vd448,vmul(vd449,vplus(v1,esk1_0))),
inference(rw,[status(thm)],[282,709,theory(equality)]) ).
cnf(13587,negated_conjecture,
$false,
inference(rw,[status(thm)],[718,410,theory(equality)]) ).
cnf(13588,negated_conjecture,
$false,
inference(cn,[status(thm)],[13587,theory(equality)]) ).
cnf(13589,negated_conjecture,
$false,
13588,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM849+1 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.26 % Computer : n075.star.cs.uiowa.edu
% 0.03/0.26 % Model : x86_64 x86_64
% 0.03/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.26 % Memory : 32218.625MB
% 0.03/0.26 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.26 % CPULimit : 300
% 0.03/0.26 % DateTime : Fri Jan 5 15:14:34 CST 2018
% 0.03/0.26 % CPUTime :
% 0.07/0.31 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.31 --creating new selector for []
% 0.34/0.59 -running prover on /export/starexec/sandbox2/tmp/tmpklF6Fl/sel_theBenchmark.p_1 with time limit 29
% 0.34/0.59 -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/tmpklF6Fl/sel_theBenchmark.p_1']
% 0.34/0.59 -prover status Theorem
% 0.34/0.59 Problem theBenchmark.p solved in phase 0.
% 0.34/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.59 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.59 Solved 1 out of 1.
% 0.34/0.59 # Problem is unsatisfiable (or provable), constructing proof object
% 0.34/0.59 # SZS status Theorem
% 0.34/0.59 # SZS output start CNFRefutation.
% See solution above
% 0.34/0.59 # SZS output end CNFRefutation
%------------------------------------------------------------------------------