TSTP Solution File: NUM849+2 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM849+2 : TPTP v7.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n063.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 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 26 unt; 0 def)
% Number of atoms : 40 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 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 : 41 ( 0 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X2,X3,X4] : equal(vmul(X2,vplus(X3,X4)),vplus(vmul(X2,X3),vmul(X2,X4))),
file('/export/starexec/sandbox/tmp/tmpL3eTmZ/sel_theBenchmark.p_1','ass(cond(281, 0), 0)') ).
fof(3,axiom,
! [X5,X6] : equal(vmul(X5,X6),vmul(X6,X5)),
file('/export/starexec/sandbox/tmp/tmpL3eTmZ/sel_theBenchmark.p_1','ass(cond(270, 0), 0)') ).
fof(4,conjecture,
! [X7] :
( equal(vmul(vmul(vd448,vd449),X7),vmul(vd448,vmul(vd449,X7)))
=> equal(vmul(vmul(vd448,vd449),vsucc(X7)),vmul(vd448,vmul(vd449,vsucc(X7)))) ),
file('/export/starexec/sandbox/tmp/tmpL3eTmZ/sel_theBenchmark.p_1','qu(ind(296), imp(296))') ).
fof(5,axiom,
! [X8,X9] : equal(vmul(vsucc(X8),X9),vplus(vmul(X8,X9),X9)),
file('/export/starexec/sandbox/tmp/tmpL3eTmZ/sel_theBenchmark.p_1','ass(cond(261, 0), 0)') ).
fof(6,axiom,
! [X10,X11] :
( equal(vplus(X10,vsucc(X11)),vsucc(vplus(X10,X11)))
& equal(vplus(X10,v1),vsucc(X10)) ),
file('/export/starexec/sandbox/tmp/tmpL3eTmZ/sel_theBenchmark.p_1','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(7,axiom,
! [X12,X13] : equal(vplus(X13,X12),vplus(X12,X13)),
file('/export/starexec/sandbox/tmp/tmpL3eTmZ/sel_theBenchmark.p_1','ass(cond(61, 0), 0)') ).
fof(9,negated_conjecture,
~ ! [X7] :
( equal(vmul(vmul(vd448,vd449),X7),vmul(vd448,vmul(vd449,X7)))
=> equal(vmul(vmul(vd448,vd449),vsucc(X7)),vmul(vd448,vmul(vd449,vsucc(X7)))) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(13,plain,
! [X5,X6,X7] : equal(vmul(X5,vplus(X6,X7)),vplus(vmul(X5,X6),vmul(X5,X7))),
inference(variable_rename,[status(thm)],[2]) ).
cnf(14,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[13]) ).
fof(15,plain,
! [X7,X8] : equal(vmul(X7,X8),vmul(X8,X7)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(16,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[15]) ).
fof(17,negated_conjecture,
? [X7] :
( equal(vmul(vmul(vd448,vd449),X7),vmul(vd448,vmul(vd449,X7)))
& ~ equal(vmul(vmul(vd448,vd449),vsucc(X7)),vmul(vd448,vmul(vd449,vsucc(X7)))) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(18,negated_conjecture,
? [X8] :
( equal(vmul(vmul(vd448,vd449),X8),vmul(vd448,vmul(vd449,X8)))
& ~ equal(vmul(vmul(vd448,vd449),vsucc(X8)),vmul(vd448,vmul(vd449,vsucc(X8)))) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,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)],[18]) ).
cnf(20,negated_conjecture,
vmul(vmul(vd448,vd449),vsucc(esk1_0)) != vmul(vd448,vmul(vd449,vsucc(esk1_0))),
inference(split_conjunct,[status(thm)],[19]) ).
cnf(21,negated_conjecture,
vmul(vmul(vd448,vd449),esk1_0) = vmul(vd448,vmul(vd449,esk1_0)),
inference(split_conjunct,[status(thm)],[19]) ).
fof(22,plain,
! [X10,X11] : equal(vmul(vsucc(X10),X11),vplus(vmul(X10,X11),X11)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(23,plain,
vmul(vsucc(X1),X2) = vplus(vmul(X1,X2),X2),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X12,X13] :
( equal(vplus(X12,vsucc(X13)),vsucc(vplus(X12,X13)))
& equal(vplus(X12,v1),vsucc(X12)) ),
inference(variable_rename,[status(thm)],[6]) ).
cnf(25,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[24]) ).
fof(27,plain,
! [X14,X15] : equal(vplus(X15,X14),vplus(X14,X15)),
inference(variable_rename,[status(thm)],[7]) ).
cnf(28,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(31,plain,
vplus(vmul(X1,X2),X2) = vmul(vplus(X1,v1),X2),
inference(rw,[status(thm)],[23,25,theory(equality)]),
[unfolding] ).
cnf(33,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)],[20,25,theory(equality)]),25,theory(equality)]),
[unfolding] ).
cnf(35,negated_conjecture,
vmul(esk1_0,vmul(vd448,vd449)) = vmul(vd448,vmul(vd449,esk1_0)),
inference(rw,[status(thm)],[21,16,theory(equality)]) ).
cnf(36,negated_conjecture,
vmul(esk1_0,vmul(vd448,vd449)) = vmul(vd448,vmul(esk1_0,vd449)),
inference(rw,[status(thm)],[35,16,theory(equality)]) ).
cnf(48,plain,
vplus(X2,vmul(X1,X2)) = vmul(vplus(X1,v1),X2),
inference(rw,[status(thm)],[31,28,theory(equality)]) ).
cnf(64,negated_conjecture,
vplus(vmul(vd448,X1),vmul(esk1_0,vmul(vd448,vd449))) = vmul(vd448,vplus(X1,vmul(esk1_0,vd449))),
inference(spm,[status(thm)],[14,36,theory(equality)]) ).
cnf(2414,negated_conjecture,
vmul(vd448,vplus(vd449,vmul(esk1_0,vd449))) = vmul(vplus(esk1_0,v1),vmul(vd448,vd449)),
inference(spm,[status(thm)],[48,64,theory(equality)]) ).
cnf(2445,negated_conjecture,
vmul(vd448,vmul(vd449,vplus(esk1_0,v1))) = vmul(vplus(esk1_0,v1),vmul(vd448,vd449)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2414,48,theory(equality)]),16,theory(equality)]) ).
cnf(2446,negated_conjecture,
vmul(vd448,vmul(vd449,vplus(esk1_0,v1))) = vmul(vmul(vd448,vd449),vplus(esk1_0,v1)),
inference(rw,[status(thm)],[2445,16,theory(equality)]) ).
cnf(2447,negated_conjecture,
$false,
inference(sr,[status(thm)],[2446,33,theory(equality)]) ).
cnf(2448,negated_conjecture,
$false,
2447,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM849+2 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n063.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 15:14:34 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.07/0.37 -running prover on /export/starexec/sandbox/tmp/tmpL3eTmZ/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/tmpL3eTmZ/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
% 0.07/0.37 Solved 1 out of 1.
% 0.07/0.37 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.37 # SZS status Theorem
% 0.07/0.37 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.37 # SZS output end CNFRefutation
%------------------------------------------------------------------------------