TSTP Solution File: NUN087+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUN087+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n183.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 14:27:10 EST 2019
% Result : Theorem 1.68s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 79 ( 17 unt; 0 def)
% Number of atoms : 255 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 316 ( 140 ~; 121 |; 55 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 165 ( 10 sgn 81 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( ~ id(X1,X2)
| id(X1,X3)
| ~ id(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',axiom_7) ).
fof(4,axiom,
! [X13,X14,X15,X16,X17,X18] :
( ~ id(X13,X16)
| ~ id(X14,X17)
| ~ id(X15,X18)
| ( ~ r4(X13,X14,X15)
& ~ r4(X16,X17,X18) )
| ( r4(X13,X14,X15)
& r4(X16,X17,X18) ) ),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',axiom_11) ).
fof(9,axiom,
? [X37] :
! [X38] :
( ( id(X38,X37)
& r1(X38) )
| ( ~ r1(X38)
& ~ id(X38,X37) ) ),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',axiom_1) ).
fof(10,axiom,
! [X39,X40] :
( ~ id(X39,X40)
| id(X40,X39) ),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',axiom_6) ).
fof(12,axiom,
! [X47,X48] :
? [X49] :
! [X50] :
( ( id(X50,X49)
& r4(X47,X48,X50) )
| ( ~ r4(X47,X48,X50)
& ~ id(X50,X49) ) ),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',axiom_4) ).
fof(13,axiom,
! [X51] : id(X51,X51),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',axiom_5) ).
fof(14,axiom,
! [X52] :
? [X53] :
( ? [X54] :
( r1(X54)
& r4(X52,X54,X53) )
& ? [X55] :
( id(X53,X55)
& r1(X55) ) ),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',axiom_5a) ).
fof(15,axiom,
! [X56,X57] :
( ~ id(X56,X57)
| ( ~ r1(X56)
& ~ r1(X57) )
| ( r1(X56)
& r1(X57) ) ),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',axiom_8) ).
fof(19,conjecture,
? [X31] :
( ? [X25] :
( r1(X25)
& r4(X25,X25,X31) )
& ? [X26] :
( id(X31,X26)
& r1(X26) ) ),
file('/export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1',zerotimeszeroeqzero) ).
fof(20,negated_conjecture,
~ ? [X31] :
( ? [X25] :
( r1(X25)
& r4(X25,X25,X31) )
& ? [X26] :
( id(X31,X26)
& r1(X26) ) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(21,plain,
! [X1,X2,X3] :
( ~ id(X1,X2)
| id(X1,X3)
| ~ id(X2,X3) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(24,plain,
! [X13,X14,X15,X16,X17,X18] :
( ~ id(X13,X16)
| ~ id(X14,X17)
| ~ id(X15,X18)
| ( ~ r4(X13,X14,X15)
& ~ r4(X16,X17,X18) )
| ( r4(X13,X14,X15)
& r4(X16,X17,X18) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(27,plain,
? [X37] :
! [X38] :
( ( id(X38,X37)
& r1(X38) )
| ( ~ r1(X38)
& ~ id(X38,X37) ) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(28,plain,
! [X39,X40] :
( ~ id(X39,X40)
| id(X40,X39) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(29,plain,
! [X47,X48] :
? [X49] :
! [X50] :
( ( id(X50,X49)
& r4(X47,X48,X50) )
| ( ~ r4(X47,X48,X50)
& ~ id(X50,X49) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(30,plain,
! [X56,X57] :
( ~ id(X56,X57)
| ( ~ r1(X56)
& ~ r1(X57) )
| ( r1(X56)
& r1(X57) ) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(33,plain,
! [X4,X5,X6] :
( ~ id(X4,X5)
| id(X4,X6)
| ~ id(X5,X6) ),
inference(variable_rename,[status(thm)],[21]) ).
cnf(34,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(48,plain,
! [X19,X20,X21,X22,X23,X24] :
( ~ id(X19,X22)
| ~ id(X20,X23)
| ~ id(X21,X24)
| ( ~ r4(X19,X20,X21)
& ~ r4(X22,X23,X24) )
| ( r4(X19,X20,X21)
& r4(X22,X23,X24) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(49,plain,
! [X19,X20,X21,X22,X23,X24] :
( ( r4(X19,X20,X21)
| ~ r4(X19,X20,X21)
| ~ id(X19,X22)
| ~ id(X20,X23)
| ~ id(X21,X24) )
& ( r4(X22,X23,X24)
| ~ r4(X19,X20,X21)
| ~ id(X19,X22)
| ~ id(X20,X23)
| ~ id(X21,X24) )
& ( r4(X19,X20,X21)
| ~ r4(X22,X23,X24)
| ~ id(X19,X22)
| ~ id(X20,X23)
| ~ id(X21,X24) )
& ( r4(X22,X23,X24)
| ~ r4(X22,X23,X24)
| ~ id(X19,X22)
| ~ id(X20,X23)
| ~ id(X21,X24) ) ),
inference(distribute,[status(thm)],[48]) ).
cnf(52,plain,
( r4(X6,X4,X2)
| ~ id(X1,X2)
| ~ id(X3,X4)
| ~ id(X5,X6)
| ~ r4(X5,X3,X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(78,plain,
? [X39] :
! [X40] :
( ( id(X40,X39)
& r1(X40) )
| ( ~ r1(X40)
& ~ id(X40,X39) ) ),
inference(variable_rename,[status(thm)],[27]) ).
fof(79,plain,
! [X40] :
( ( id(X40,esk10_0)
& r1(X40) )
| ( ~ r1(X40)
& ~ id(X40,esk10_0) ) ),
inference(skolemize,[status(esa)],[78]) ).
fof(80,plain,
! [X40] :
( ( ~ r1(X40)
| id(X40,esk10_0) )
& ( ~ id(X40,esk10_0)
| id(X40,esk10_0) )
& ( ~ r1(X40)
| r1(X40) )
& ( ~ id(X40,esk10_0)
| r1(X40) ) ),
inference(distribute,[status(thm)],[79]) ).
cnf(84,plain,
( id(X1,esk10_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(85,plain,
! [X41,X42] :
( ~ id(X41,X42)
| id(X42,X41) ),
inference(variable_rename,[status(thm)],[28]) ).
cnf(86,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(94,plain,
! [X51,X52] :
? [X53] :
! [X54] :
( ( id(X54,X53)
& r4(X51,X52,X54) )
| ( ~ r4(X51,X52,X54)
& ~ id(X54,X53) ) ),
inference(variable_rename,[status(thm)],[29]) ).
fof(95,plain,
! [X51,X52,X54] :
( ( id(X54,esk15_2(X51,X52))
& r4(X51,X52,X54) )
| ( ~ r4(X51,X52,X54)
& ~ id(X54,esk15_2(X51,X52)) ) ),
inference(skolemize,[status(esa)],[94]) ).
fof(96,plain,
! [X51,X52,X54] :
( ( ~ r4(X51,X52,X54)
| id(X54,esk15_2(X51,X52)) )
& ( ~ id(X54,esk15_2(X51,X52))
| id(X54,esk15_2(X51,X52)) )
& ( ~ r4(X51,X52,X54)
| r4(X51,X52,X54) )
& ( ~ id(X54,esk15_2(X51,X52))
| r4(X51,X52,X54) ) ),
inference(distribute,[status(thm)],[95]) ).
cnf(97,plain,
( r4(X1,X2,X3)
| ~ id(X3,esk15_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(100,plain,
( id(X1,esk15_2(X2,X3))
| ~ r4(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(101,plain,
! [X52] : id(X52,X52),
inference(variable_rename,[status(thm)],[13]) ).
cnf(102,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[101]) ).
fof(103,plain,
! [X56] :
? [X57] :
( ? [X58] :
( r1(X58)
& r4(X56,X58,X57) )
& ? [X59] :
( id(X57,X59)
& r1(X59) ) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(104,plain,
! [X56] :
( r1(esk17_1(X56))
& r4(X56,esk17_1(X56),esk16_1(X56))
& id(esk16_1(X56),esk18_1(X56))
& r1(esk18_1(X56)) ),
inference(skolemize,[status(esa)],[103]) ).
cnf(105,plain,
r1(esk18_1(X1)),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(106,plain,
id(esk16_1(X1),esk18_1(X1)),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(107,plain,
r4(X1,esk17_1(X1),esk16_1(X1)),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(108,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[104]) ).
fof(109,plain,
! [X58,X59] :
( ~ id(X58,X59)
| ( ~ r1(X58)
& ~ r1(X59) )
| ( r1(X58)
& r1(X59) ) ),
inference(variable_rename,[status(thm)],[30]) ).
fof(110,plain,
! [X58,X59] :
( ( r1(X58)
| ~ r1(X58)
| ~ id(X58,X59) )
& ( r1(X59)
| ~ r1(X58)
| ~ id(X58,X59) )
& ( r1(X58)
| ~ r1(X59)
| ~ id(X58,X59) )
& ( r1(X59)
| ~ r1(X59)
| ~ id(X58,X59) ) ),
inference(distribute,[status(thm)],[109]) ).
cnf(112,plain,
( r1(X1)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(113,plain,
( r1(X2)
| ~ id(X1,X2)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[110]) ).
fof(129,negated_conjecture,
! [X31] :
( ! [X25] :
( ~ r1(X25)
| ~ r4(X25,X25,X31) )
| ! [X26] :
( ~ id(X31,X26)
| ~ r1(X26) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(130,negated_conjecture,
! [X32] :
( ! [X33] :
( ~ r1(X33)
| ~ r4(X33,X33,X32) )
| ! [X34] :
( ~ id(X32,X34)
| ~ r1(X34) ) ),
inference(variable_rename,[status(thm)],[129]) ).
fof(131,negated_conjecture,
! [X32,X33,X34] :
( ~ id(X32,X34)
| ~ r1(X34)
| ~ r1(X33)
| ~ r4(X33,X33,X32) ),
inference(shift_quantors,[status(thm)],[130]) ).
cnf(132,negated_conjecture,
( ~ r4(X1,X1,X2)
| ~ r1(X1)
| ~ r1(X3)
| ~ id(X2,X3) ),
inference(split_conjunct,[status(thm)],[131]) ).
cnf(133,plain,
id(esk17_1(X1),esk10_0),
inference(spm,[status(thm)],[84,108,theory(equality)]) ).
cnf(150,plain,
( r1(esk16_1(X1))
| ~ r1(esk18_1(X1)) ),
inference(spm,[status(thm)],[112,106,theory(equality)]) ).
cnf(152,plain,
( r1(esk16_1(X1))
| $false ),
inference(rw,[status(thm)],[150,105,theory(equality)]) ).
cnf(153,plain,
r1(esk16_1(X1)),
inference(cn,[status(thm)],[152,theory(equality)]) ).
cnf(182,plain,
r4(X1,X2,esk15_2(X1,X2)),
inference(spm,[status(thm)],[97,102,theory(equality)]) ).
cnf(185,plain,
( r1(esk15_2(X1,X2))
| ~ r1(X3)
| ~ r4(X1,X2,X3) ),
inference(spm,[status(thm)],[113,100,theory(equality)]) ).
cnf(238,plain,
( r1(esk10_0)
| ~ r1(esk17_1(X1)) ),
inference(spm,[status(thm)],[113,133,theory(equality)]) ).
cnf(240,plain,
( id(esk17_1(X1),X2)
| ~ id(esk10_0,X2) ),
inference(spm,[status(thm)],[34,133,theory(equality)]) ).
cnf(243,plain,
( r1(esk10_0)
| $false ),
inference(rw,[status(thm)],[238,108,theory(equality)]) ).
cnf(244,plain,
r1(esk10_0),
inference(cn,[status(thm)],[243,theory(equality)]) ).
cnf(428,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ id(esk15_2(X2,X2),X1) ),
inference(spm,[status(thm)],[132,182,theory(equality)]) ).
cnf(559,negated_conjecture,
( ~ r1(esk15_2(X1,X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[428,102,theory(equality)]) ).
cnf(650,plain,
( r1(X1)
| ~ r1(esk17_1(X2))
| ~ id(esk10_0,X1) ),
inference(spm,[status(thm)],[113,240,theory(equality)]) ).
cnf(664,plain,
( r1(X1)
| $false
| ~ id(esk10_0,X1) ),
inference(rw,[status(thm)],[650,108,theory(equality)]) ).
cnf(665,plain,
( r1(X1)
| ~ id(esk10_0,X1) ),
inference(cn,[status(thm)],[664,theory(equality)]) ).
cnf(692,negated_conjecture,
( ~ r1(X1)
| ~ id(esk10_0,esk15_2(X1,X1)) ),
inference(spm,[status(thm)],[559,665,theory(equality)]) ).
cnf(1060,negated_conjecture,
( ~ r1(X1)
| ~ r4(X1,X1,esk10_0) ),
inference(spm,[status(thm)],[692,100,theory(equality)]) ).
cnf(1218,plain,
( r1(esk15_2(X1,esk17_1(X1)))
| ~ r1(esk16_1(X1)) ),
inference(spm,[status(thm)],[185,107,theory(equality)]) ).
cnf(1222,plain,
( r1(esk15_2(X1,esk17_1(X1)))
| $false ),
inference(rw,[status(thm)],[1218,153,theory(equality)]) ).
cnf(1223,plain,
r1(esk15_2(X1,esk17_1(X1))),
inference(cn,[status(thm)],[1222,theory(equality)]) ).
cnf(1259,plain,
id(esk15_2(X1,esk17_1(X1)),esk10_0),
inference(spm,[status(thm)],[84,1223,theory(equality)]) ).
cnf(1261,plain,
id(esk10_0,esk15_2(X1,esk17_1(X1))),
inference(spm,[status(thm)],[86,1259,theory(equality)]) ).
cnf(1277,plain,
r4(X1,esk17_1(X1),esk10_0),
inference(spm,[status(thm)],[97,1261,theory(equality)]) ).
cnf(1287,plain,
( r4(X1,X2,X3)
| ~ id(X4,X1)
| ~ id(esk17_1(X4),X2)
| ~ id(esk10_0,X3) ),
inference(spm,[status(thm)],[52,1277,theory(equality)]) ).
cnf(53491,plain,
( r4(X1,esk10_0,X2)
| ~ id(esk10_0,X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[1287,133,theory(equality)]) ).
cnf(130560,plain,
( r4(X1,esk10_0,X2)
| ~ id(esk10_0,X2) ),
inference(spm,[status(thm)],[53491,102,theory(equality)]) ).
cnf(131355,negated_conjecture,
( ~ r1(esk10_0)
| ~ id(esk10_0,esk10_0) ),
inference(spm,[status(thm)],[1060,130560,theory(equality)]) ).
cnf(131398,negated_conjecture,
( $false
| ~ id(esk10_0,esk10_0) ),
inference(rw,[status(thm)],[131355,244,theory(equality)]) ).
cnf(131399,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[131398,102,theory(equality)]) ).
cnf(131400,negated_conjecture,
$false,
inference(cn,[status(thm)],[131399,theory(equality)]) ).
cnf(131401,negated_conjecture,
$false,
131400,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN087+1 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : sine.py -e eprover -t %d %s
% 0.03/0.25 % Computer : n183.star.cs.uiowa.edu
% 0.03/0.25 % Model : x86_64 x86_64
% 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25 % Memory : 32218.5MB
% 0.03/0.25 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.25 % CPULimit : 300
% 0.03/0.25 % DateTime : Sun Feb 24 02:08:30 CST 2019
% 0.03/0.25 % CPUTime :
% 0.08/0.30 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.30 --creating new selector for [NUM009+0.ax]
% 1.68/1.99 -running prover on /export/starexec/sandbox2/tmp/tmpolSRfs/sel_theBenchmark.p_1 with time limit 29
% 1.68/1.99 -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/tmpolSRfs/sel_theBenchmark.p_1']
% 1.68/1.99 -prover status Theorem
% 1.68/1.99 Problem theBenchmark.p solved in phase 0.
% 1.68/1.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/1.99 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/1.99 Solved 1 out of 1.
% 1.68/1.99 # Problem is unsatisfiable (or provable), constructing proof object
% 1.68/1.99 # SZS status Theorem
% 1.68/1.99 # SZS output start CNFRefutation.
% See solution above
% 1.68/1.99 # SZS output end CNFRefutation
%------------------------------------------------------------------------------