TSTP Solution File: GEO500+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO500+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n004.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Jan 20 10:18:35 EST 2017
% Result : Theorem 2.23s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 25 unt; 0 def)
% Number of atoms : 119 ( 9 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 113 ( 54 ~; 50 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 87 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
! [X1,X2,X5,X7,X10,X11] :
( ~ s_e(X1,X2,X5,X7)
| ~ s_e(X1,X2,X10,X11)
| s_e(X5,X7,X10,X11) ),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aA2) ).
fof(19,axiom,
! [X16,X17,X12] : s_e(X16,X17,s(X12,X16),s(X12,X17)),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aSatz7_13) ).
fof(25,axiom,
! [X16,X12] : s_m(X16,X12,s(X12,X16)),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aSatz7_4a) ).
fof(29,axiom,
! [X12,X16] :
( ~ equal(s(X12,X16),X16)
| equal(X16,X12) ),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aSatz7_10a) ).
fof(33,axiom,
! [X12,X13,X14,X15] :
( ~ s_e(X12,X13,X14,X15)
| s_e(X13,X12,X15,X14) ),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aSatz2_14) ).
fof(42,conjecture,
! [X12,X13,X16] :
( ~ equal(s(X12,s(X13,X16)),s(X13,s(X12,X16)))
| equal(X12,X13) ),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aSatz7_19) ).
fof(49,axiom,
! [X12,X16] : equal(s(X12,s(X12,X16)),X16),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aSatz7_7) ).
fof(92,axiom,
! [X12,X20,X13] :
( ( ~ s_m(X12,X20,X13)
| s_t(X12,X20,X13) )
& ( ~ s_m(X12,X20,X13)
| s_e(X20,X12,X20,X13) )
& ( ~ s_t(X12,X20,X13)
| ~ s_e(X20,X12,X20,X13)
| s_m(X12,X20,X13) ) ),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',d_Defn7_1) ).
fof(99,axiom,
! [X16,X17,X18,X12] :
( s_t(X16,X17,X18)
| ~ s_t(s(X12,X16),s(X12,X17),s(X12,X18)) ),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aSatz7_15b) ).
fof(103,axiom,
! [X16,X12,X17,X13] :
( ~ s_m(X16,X12,X17)
| ~ s_m(X16,X13,X17)
| equal(X12,X13) ),
file('/export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1',aSatz7_17) ).
fof(121,negated_conjecture,
~ ! [X12,X13,X16] :
( ~ equal(s(X12,s(X13,X16)),s(X13,s(X12,X16)))
| equal(X12,X13) ),
inference(assume_negation,[status(cth)],[42]) ).
fof(125,plain,
! [X1,X2,X5,X7,X10,X11] :
( ~ s_e(X1,X2,X5,X7)
| ~ s_e(X1,X2,X10,X11)
| s_e(X5,X7,X10,X11) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(142,plain,
! [X12,X13,X14,X15] :
( ~ s_e(X12,X13,X14,X15)
| s_e(X13,X12,X15,X14) ),
inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).
fof(189,plain,
! [X12,X20,X13] :
( ( ~ s_m(X12,X20,X13)
| s_t(X12,X20,X13) )
& ( ~ s_m(X12,X20,X13)
| s_e(X20,X12,X20,X13) )
& ( ~ s_t(X12,X20,X13)
| ~ s_e(X20,X12,X20,X13)
| s_m(X12,X20,X13) ) ),
inference(fof_simplification,[status(thm)],[92,theory(equality)]) ).
fof(195,plain,
! [X16,X17,X18,X12] :
( s_t(X16,X17,X18)
| ~ s_t(s(X12,X16),s(X12,X17),s(X12,X18)) ),
inference(fof_simplification,[status(thm)],[99,theory(equality)]) ).
fof(197,plain,
! [X16,X12,X17,X13] :
( ~ s_m(X16,X12,X17)
| ~ s_m(X16,X13,X17)
| equal(X12,X13) ),
inference(fof_simplification,[status(thm)],[103,theory(equality)]) ).
fof(223,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ s_e(X12,X13,X14,X15)
| ~ s_e(X12,X13,X16,X17)
| s_e(X14,X15,X16,X17) ),
inference(variable_rename,[status(thm)],[125]) ).
cnf(224,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X5,X6,X3,X4)
| ~ s_e(X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[223]) ).
fof(257,plain,
! [X18,X19,X20] : s_e(X18,X19,s(X20,X18),s(X20,X19)),
inference(variable_rename,[status(thm)],[19]) ).
cnf(258,plain,
s_e(X1,X2,s(X3,X1),s(X3,X2)),
inference(split_conjunct,[status(thm)],[257]) ).
fof(270,plain,
! [X17,X18] : s_m(X17,X18,s(X18,X17)),
inference(variable_rename,[status(thm)],[25]) ).
cnf(271,plain,
s_m(X1,X2,s(X2,X1)),
inference(split_conjunct,[status(thm)],[270]) ).
fof(278,plain,
! [X17,X18] :
( ~ equal(s(X17,X18),X18)
| equal(X18,X17) ),
inference(variable_rename,[status(thm)],[29]) ).
cnf(279,plain,
( X1 = X2
| s(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[278]) ).
fof(292,plain,
! [X16,X17,X18,X19] :
( ~ s_e(X16,X17,X18,X19)
| s_e(X17,X16,X19,X18) ),
inference(variable_rename,[status(thm)],[142]) ).
cnf(293,plain,
( s_e(X1,X2,X3,X4)
| ~ s_e(X2,X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[292]) ).
fof(316,negated_conjecture,
? [X12,X13,X16] :
( equal(s(X12,s(X13,X16)),s(X13,s(X12,X16)))
& ~ equal(X12,X13) ),
inference(fof_nnf,[status(thm)],[121]) ).
fof(317,negated_conjecture,
? [X17,X18,X19] :
( equal(s(X17,s(X18,X19)),s(X18,s(X17,X19)))
& ~ equal(X17,X18) ),
inference(variable_rename,[status(thm)],[316]) ).
fof(318,negated_conjecture,
( equal(s(esk1_0,s(esk2_0,esk3_0)),s(esk2_0,s(esk1_0,esk3_0)))
& ~ equal(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[317]) ).
cnf(319,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[318]) ).
cnf(320,negated_conjecture,
s(esk1_0,s(esk2_0,esk3_0)) = s(esk2_0,s(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[318]) ).
fof(334,plain,
! [X17,X18] : equal(s(X17,s(X17,X18)),X18),
inference(variable_rename,[status(thm)],[49]) ).
cnf(335,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[334]) ).
fof(438,plain,
! [X21,X22,X23] :
( ( ~ s_m(X21,X22,X23)
| s_t(X21,X22,X23) )
& ( ~ s_m(X21,X22,X23)
| s_e(X22,X21,X22,X23) )
& ( ~ s_t(X21,X22,X23)
| ~ s_e(X22,X21,X22,X23)
| s_m(X21,X22,X23) ) ),
inference(variable_rename,[status(thm)],[189]) ).
cnf(439,plain,
( s_m(X1,X2,X3)
| ~ s_e(X2,X1,X2,X3)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[438]) ).
cnf(440,plain,
( s_e(X1,X2,X1,X3)
| ~ s_m(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[438]) ).
cnf(441,plain,
( s_t(X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[438]) ).
fof(456,plain,
! [X19,X20,X21,X22] :
( s_t(X19,X20,X21)
| ~ s_t(s(X22,X19),s(X22,X20),s(X22,X21)) ),
inference(variable_rename,[status(thm)],[195]) ).
cnf(457,plain,
( s_t(X2,X3,X4)
| ~ s_t(s(X1,X2),s(X1,X3),s(X1,X4)) ),
inference(split_conjunct,[status(thm)],[456]) ).
fof(464,plain,
! [X18,X19,X20,X21] :
( ~ s_m(X18,X19,X20)
| ~ s_m(X18,X21,X20)
| equal(X19,X21) ),
inference(variable_rename,[status(thm)],[197]) ).
cnf(465,plain,
( X1 = X2
| ~ s_m(X3,X2,X4)
| ~ s_m(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[464]) ).
cnf(527,negated_conjecture,
s_m(s(esk2_0,esk3_0),esk1_0,s(esk2_0,s(esk1_0,esk3_0))),
inference(spm,[status(thm)],[271,320,theory(equality)]) ).
cnf(533,plain,
s_e(s(X1,X2),X3,X2,s(X1,X3)),
inference(spm,[status(thm)],[258,335,theory(equality)]) ).
cnf(596,plain,
( X1 = X2
| ~ s_m(X3,X1,s(X2,X3)) ),
inference(spm,[status(thm)],[465,271,theory(equality)]) ).
cnf(658,plain,
( s_t(X1,s(X2,X3),X4)
| ~ s_t(s(X2,X1),X3,s(X2,X4)) ),
inference(spm,[status(thm)],[457,335,theory(equality)]) ).
cnf(1766,negated_conjecture,
s_t(s(esk2_0,esk3_0),esk1_0,s(esk2_0,s(esk1_0,esk3_0))),
inference(spm,[status(thm)],[441,527,theory(equality)]) ).
cnf(1768,negated_conjecture,
s_e(esk1_0,s(esk2_0,esk3_0),esk1_0,s(esk2_0,s(esk1_0,esk3_0))),
inference(spm,[status(thm)],[440,527,theory(equality)]) ).
cnf(1830,plain,
( s_e(X1,X2,X3,s(X4,X5))
| ~ s_e(s(X4,X3),X5,X1,X2) ),
inference(spm,[status(thm)],[224,533,theory(equality)]) ).
cnf(2299,negated_conjecture,
s_e(s(esk2_0,esk3_0),esk1_0,s(esk2_0,s(esk1_0,esk3_0)),esk1_0),
inference(spm,[status(thm)],[293,1768,theory(equality)]) ).
cnf(4591,negated_conjecture,
s_t(esk3_0,s(esk2_0,esk1_0),s(esk1_0,esk3_0)),
inference(spm,[status(thm)],[658,1766,theory(equality)]) ).
cnf(67329,negated_conjecture,
s_e(s(esk2_0,s(esk1_0,esk3_0)),esk1_0,esk3_0,s(esk2_0,esk1_0)),
inference(spm,[status(thm)],[1830,2299,theory(equality)]) ).
cnf(67584,negated_conjecture,
s_e(esk3_0,s(esk2_0,esk1_0),s(esk1_0,esk3_0),s(esk2_0,esk1_0)),
inference(spm,[status(thm)],[1830,67329,theory(equality)]) ).
cnf(69631,negated_conjecture,
s_e(s(esk2_0,esk1_0),esk3_0,s(esk2_0,esk1_0),s(esk1_0,esk3_0)),
inference(spm,[status(thm)],[293,67584,theory(equality)]) ).
cnf(74152,negated_conjecture,
( s_m(esk3_0,s(esk2_0,esk1_0),s(esk1_0,esk3_0))
| ~ s_t(esk3_0,s(esk2_0,esk1_0),s(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[439,69631,theory(equality)]) ).
cnf(74211,negated_conjecture,
( s_m(esk3_0,s(esk2_0,esk1_0),s(esk1_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[74152,4591,theory(equality)]) ).
cnf(74212,negated_conjecture,
s_m(esk3_0,s(esk2_0,esk1_0),s(esk1_0,esk3_0)),
inference(cn,[status(thm)],[74211,theory(equality)]) ).
cnf(74233,negated_conjecture,
s(esk2_0,esk1_0) = esk1_0,
inference(spm,[status(thm)],[596,74212,theory(equality)]) ).
cnf(74629,negated_conjecture,
esk1_0 = esk2_0,
inference(spm,[status(thm)],[279,74233,theory(equality)]) ).
cnf(75434,negated_conjecture,
$false,
inference(sr,[status(thm)],[74629,319,theory(equality)]) ).
cnf(75435,negated_conjecture,
$false,
75434,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO500+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n004.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 : 32218.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 20 05:38:17 CST 2017
% 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 [GEO011+0.ax]
% 2.23/2.50 -running prover on /export/starexec/sandbox/tmp/tmpQJhl5i/sel_theBenchmark.p_1 with time limit 29
% 2.23/2.50 -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/tmpQJhl5i/sel_theBenchmark.p_1']
% 2.23/2.50 -prover status Theorem
% 2.23/2.50 Problem theBenchmark.p solved in phase 0.
% 2.23/2.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.50 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.50 Solved 1 out of 1.
% 2.23/2.50 # Problem is unsatisfiable (or provable), constructing proof object
% 2.23/2.50 # SZS status Theorem
% 2.23/2.50 # SZS output start CNFRefutation.
% See solution above
% 2.23/2.50 # SZS output end CNFRefutation
%------------------------------------------------------------------------------