TSTP Solution File: NUM840+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM840+2 : TPTP v7.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n039.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 15:22:28 EST 2018
% Result : Theorem 0.05s
% Output : CNFRefutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 55 ( 34 unt; 0 def)
% Number of atoms : 84 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 21 |; 4 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 3 sgn 48 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).
fof(8,axiom,
! [X9,X10] :
( ~ equal(X9,X10)
=> ! [X11] : ~ equal(vplus(X11,X9),vplus(X11,X10)) ),
file('/export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1','ass(cond(81, 0), 0)') ).
fof(11,axiom,
! [X17,X18] :
( less(X17,X18)
=> greater(X18,X17) ),
file('/export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1','ass(cond(147, 0), 0)') ).
fof(12,axiom,
! [X19,X20,X21] : equal(vplus(vplus(X19,X20),X21),vplus(X19,vplus(X20,X21))),
file('/export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1','ass(cond(33, 0), 0)') ).
fof(13,conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).
fof(14,axiom,
! [X22,X23] :
( greater(X23,X22)
<=> ? [X24] : equal(X23,vplus(X22,X24)) ),
file('/export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(16,axiom,
! [X27,X28] : equal(vplus(X28,X27),vplus(X27,X28)),
file('/export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1','ass(cond(61, 0), 0)') ).
fof(17,axiom,
! [X29,X30] :
( greater(X29,X30)
=> less(X30,X29) ),
file('/export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1','ass(cond(140, 0), 0)') ).
fof(18,negated_conjecture,
~ less(vd328,vd329),
inference(assume_negation,[status(cth)],[13]) ).
fof(20,negated_conjecture,
~ less(vd328,vd329),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
cnf(27,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(split_conjunct,[status(thm)],[3]) ).
fof(36,plain,
! [X9,X10] :
( equal(X9,X10)
| ! [X11] : ~ equal(vplus(X11,X9),vplus(X11,X10)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(37,plain,
! [X12,X13] :
( equal(X12,X13)
| ! [X14] : ~ equal(vplus(X14,X12),vplus(X14,X13)) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X12,X13,X14] :
( ~ equal(vplus(X14,X12),vplus(X14,X13))
| equal(X12,X13) ),
inference(shift_quantors,[status(thm)],[37]) ).
cnf(39,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(46,plain,
! [X17,X18] :
( ~ less(X17,X18)
| greater(X18,X17) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(47,plain,
! [X19,X20] :
( ~ less(X19,X20)
| greater(X20,X19) ),
inference(variable_rename,[status(thm)],[46]) ).
cnf(48,plain,
( greater(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(49,plain,
! [X22,X23,X24] : equal(vplus(vplus(X22,X23),X24),vplus(X22,vplus(X23,X24))),
inference(variable_rename,[status(thm)],[12]) ).
cnf(50,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(51,negated_conjecture,
~ less(vd328,vd329),
inference(split_conjunct,[status(thm)],[20]) ).
fof(52,plain,
! [X22,X23] :
( ( ~ greater(X23,X22)
| ? [X24] : equal(X23,vplus(X22,X24)) )
& ( ! [X24] : ~ equal(X23,vplus(X22,X24))
| greater(X23,X22) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(53,plain,
! [X25,X26] :
( ( ~ greater(X26,X25)
| ? [X27] : equal(X26,vplus(X25,X27)) )
& ( ! [X28] : ~ equal(X26,vplus(X25,X28))
| greater(X26,X25) ) ),
inference(variable_rename,[status(thm)],[52]) ).
fof(54,plain,
! [X25,X26] :
( ( ~ greater(X26,X25)
| equal(X26,vplus(X25,esk1_2(X25,X26))) )
& ( ! [X28] : ~ equal(X26,vplus(X25,X28))
| greater(X26,X25) ) ),
inference(skolemize,[status(esa)],[53]) ).
fof(55,plain,
! [X25,X26,X28] :
( ( ~ equal(X26,vplus(X25,X28))
| greater(X26,X25) )
& ( ~ greater(X26,X25)
| equal(X26,vplus(X25,esk1_2(X25,X26))) ) ),
inference(shift_quantors,[status(thm)],[54]) ).
cnf(56,plain,
( X1 = vplus(X2,esk1_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(60,plain,
! [X29,X30] : equal(vplus(X30,X29),vplus(X29,X30)),
inference(variable_rename,[status(thm)],[16]) ).
cnf(61,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[60]) ).
fof(62,plain,
! [X29,X30] :
( ~ greater(X29,X30)
| less(X30,X29) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(63,plain,
! [X31,X32] :
( ~ greater(X31,X32)
| less(X32,X31) ),
inference(variable_rename,[status(thm)],[62]) ).
cnf(64,plain,
( less(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(75,plain,
less(vplus(vd328,vd330),vplus(vd330,vd329)),
inference(rw,[status(thm)],[27,61,theory(equality)]) ).
cnf(82,plain,
greater(vplus(X1,X2),X1),
inference(er,[status(thm)],[57,theory(equality)]) ).
cnf(87,plain,
vplus(X1,vplus(X2,X3)) = vplus(X3,vplus(X1,X2)),
inference(spm,[status(thm)],[61,50,theory(equality)]) ).
cnf(110,plain,
greater(vplus(vd330,vd329),vplus(vd328,vd330)),
inference(spm,[status(thm)],[48,75,theory(equality)]) ).
cnf(142,plain,
vplus(vplus(vd328,vd330),esk1_2(vplus(vd328,vd330),vplus(vd330,vd329))) = vplus(vd330,vd329),
inference(spm,[status(thm)],[56,110,theory(equality)]) ).
cnf(145,plain,
vplus(vd328,vplus(vd330,esk1_2(vplus(vd328,vd330),vplus(vd330,vd329)))) = vplus(vd330,vd329),
inference(rw,[status(thm)],[142,50,theory(equality)]) ).
cnf(150,plain,
less(X1,vplus(X1,X2)),
inference(spm,[status(thm)],[64,82,theory(equality)]) ).
cnf(151,plain,
vplus(X1,esk1_2(X1,vplus(X1,X2))) = vplus(X1,X2),
inference(spm,[status(thm)],[56,82,theory(equality)]) ).
cnf(368,plain,
greater(vplus(vd330,vd329),vd328),
inference(spm,[status(thm)],[82,145,theory(equality)]) ).
cnf(598,plain,
vplus(vd328,esk1_2(vd328,vplus(vd330,vd329))) = vplus(vd330,vd329),
inference(spm,[status(thm)],[56,368,theory(equality)]) ).
cnf(1400,plain,
( esk1_2(X1,vplus(X1,X2)) = X3
| vplus(X1,X2) != vplus(X1,X3) ),
inference(spm,[status(thm)],[39,151,theory(equality)]) ).
cnf(2713,plain,
esk1_2(X1,vplus(X1,X2)) = X2,
inference(er,[status(thm)],[1400,theory(equality)]) ).
cnf(2740,plain,
esk1_2(vd328,vplus(vd330,vd329)) = vplus(vd330,esk1_2(vplus(vd328,vd330),vplus(vd330,vd329))),
inference(spm,[status(thm)],[2713,145,theory(equality)]) ).
cnf(2743,plain,
esk1_2(X1,vplus(X3,vplus(X1,X2))) = vplus(X2,X3),
inference(spm,[status(thm)],[2713,87,theory(equality)]) ).
cnf(3293,plain,
greater(esk1_2(vd328,vplus(vd330,vd329)),vd330),
inference(spm,[status(thm)],[82,2740,theory(equality)]) ).
cnf(3394,plain,
vplus(vd330,esk1_2(vd330,esk1_2(vd328,vplus(vd330,vd329)))) = esk1_2(vd328,vplus(vd330,vd329)),
inference(spm,[status(thm)],[56,3293,theory(equality)]) ).
cnf(8863,plain,
esk1_2(vd330,vplus(X1,esk1_2(vd328,vplus(vd330,vd329)))) = vplus(esk1_2(vd330,esk1_2(vd328,vplus(vd330,vd329))),X1),
inference(spm,[status(thm)],[2743,3394,theory(equality)]) ).
cnf(8907,plain,
esk1_2(vd330,vplus(vd330,vd329)) = vplus(esk1_2(vd330,esk1_2(vd328,vplus(vd330,vd329))),vd328),
inference(spm,[status(thm)],[8863,598,theory(equality)]) ).
cnf(8911,plain,
vd329 = vplus(esk1_2(vd330,esk1_2(vd328,vplus(vd330,vd329))),vd328),
inference(rw,[status(thm)],[8907,2713,theory(equality)]) ).
cnf(8912,plain,
vd329 = vplus(vd328,esk1_2(vd330,esk1_2(vd328,vplus(vd330,vd329)))),
inference(rw,[status(thm)],[8911,61,theory(equality)]) ).
cnf(8917,plain,
less(vd328,vd329),
inference(spm,[status(thm)],[150,8912,theory(equality)]) ).
cnf(9040,plain,
$false,
inference(sr,[status(thm)],[8917,51,theory(equality)]) ).
cnf(9041,plain,
$false,
9040,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM840+2 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n039.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 14:41:50 CST 2018
% 0.02/0.23 % CPUTime :
% 0.05/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/0.28 --creating new selector for []
% 0.05/0.46 -running prover on /export/starexec/sandbox2/tmp/tmp2tTM4c/sel_theBenchmark.p_1 with time limit 29
% 0.05/0.46 -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/tmp2tTM4c/sel_theBenchmark.p_1']
% 0.05/0.46 -prover status Theorem
% 0.05/0.46 Problem theBenchmark.p solved in phase 0.
% 0.05/0.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/0.46 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/0.46 Solved 1 out of 1.
% 0.05/0.46 # Problem is unsatisfiable (or provable), constructing proof object
% 0.05/0.46 # SZS status Theorem
% 0.05/0.46 # SZS output start CNFRefutation.
% See solution above
% 0.05/0.47 # SZS output end CNFRefutation
%------------------------------------------------------------------------------