%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUN070+2 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n186.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 14:27:06 EST 2019
% Result : Theorem 0.08s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 137 ( 5 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 178 ( 78 ~; 60 |; 40 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 91 ( 3 sgn 36 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
? [X2] :
! [X3] :
( ( ~ r2(X1,X3)
& ~ equal(X3,X2) )
| ( r2(X1,X3)
& equal(X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp79Uj96/sel_theBenchmark.p_1',axiom_2) ).
fof(5,axiom,
? [X16] :
! [X17] :
( ( ~ r1(X17)
& ~ equal(X17,X16) )
| ( r1(X17)
& equal(X17,X16) ) ),
file('/export/starexec/sandbox/tmp/tmp79Uj96/sel_theBenchmark.p_1',axiom_1) ).
fof(7,axiom,
! [X24] :
? [X25] :
( ? [X26] :
( r1(X26)
& r3(X24,X26,X25) )
& equal(X25,X24) ),
file('/export/starexec/sandbox/tmp/tmp79Uj96/sel_theBenchmark.p_1',axiom_4a) ).
fof(9,conjecture,
? [X10] :
( ? [X30] :
( ? [X20] :
( r1(X20)
& r3(X30,X20,X10) )
& ? [X21] :
( r1(X21)
& r2(X21,X30) ) )
& ? [X31] :
( equal(X10,X31)
& ? [X32] :
( r1(X32)
& r2(X32,X31) ) ) ),
file('/export/starexec/sandbox/tmp/tmp79Uj96/sel_theBenchmark.p_1',onepluszeroeqone) ).
fof(10,negated_conjecture,
~ ? [X10] :
( ? [X30] :
( ? [X20] :
( r1(X20)
& r3(X30,X20,X10) )
& ? [X21] :
( r1(X21)
& r2(X21,X30) ) )
& ? [X31] :
( equal(X10,X31)
& ? [X32] :
( r1(X32)
& r2(X32,X31) ) ) ),
inference(assume_negation,[status(cth)],[9]) ).
fof(11,plain,
! [X1] :
? [X2] :
! [X3] :
( ( ~ r2(X1,X3)
& ~ equal(X3,X2) )
| ( r2(X1,X3)
& equal(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(14,plain,
? [X16] :
! [X17] :
( ( ~ r1(X17)
& ~ equal(X17,X16) )
| ( r1(X17)
& equal(X17,X16) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(16,plain,
! [X4] :
? [X5] :
! [X6] :
( ( ~ r2(X4,X6)
& ~ equal(X6,X5) )
| ( r2(X4,X6)
& equal(X6,X5) ) ),
inference(variable_rename,[status(thm)],[11]) ).
fof(17,plain,
! [X4,X6] :
( ( ~ r2(X4,X6)
& ~ equal(X6,esk1_1(X4)) )
| ( r2(X4,X6)
& equal(X6,esk1_1(X4)) ) ),
inference(skolemize,[status(esa)],[16]) ).
fof(18,plain,
! [X4,X6] :
( ( r2(X4,X6)
| ~ r2(X4,X6) )
& ( equal(X6,esk1_1(X4))
| ~ r2(X4,X6) )
& ( r2(X4,X6)
| ~ equal(X6,esk1_1(X4)) )
& ( equal(X6,esk1_1(X4))
| ~ equal(X6,esk1_1(X4)) ) ),
inference(distribute,[status(thm)],[17]) ).
cnf(20,plain,
( r2(X2,X1)
| X1 != esk1_1(X2) ),
inference(split_conjunct,[status(thm)],[18]) ).
fof(40,plain,
? [X18] :
! [X19] :
( ( ~ r1(X19)
& ~ equal(X19,X18) )
| ( r1(X19)
& equal(X19,X18) ) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(41,plain,
! [X19] :
( ( ~ r1(X19)
& ~ equal(X19,esk6_0) )
| ( r1(X19)
& equal(X19,esk6_0) ) ),
inference(skolemize,[status(esa)],[40]) ).
fof(42,plain,
! [X19] :
( ( r1(X19)
| ~ r1(X19) )
& ( equal(X19,esk6_0)
| ~ r1(X19) )
& ( r1(X19)
| ~ equal(X19,esk6_0) )
& ( equal(X19,esk6_0)
| ~ equal(X19,esk6_0) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(45,plain,
( X1 = esk6_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(54,plain,
! [X27] :
? [X28] :
( ? [X29] :
( r1(X29)
& r3(X27,X29,X28) )
& equal(X28,X27) ),
inference(variable_rename,[status(thm)],[7]) ).
fof(55,plain,
! [X27] :
( r1(esk12_1(X27))
& r3(X27,esk12_1(X27),esk11_1(X27))
& equal(esk11_1(X27),X27) ),
inference(skolemize,[status(esa)],[54]) ).
cnf(56,plain,
esk11_1(X1) = X1,
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,plain,
r3(X1,esk12_1(X1),esk11_1(X1)),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(58,plain,
r1(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[55]) ).
fof(62,negated_conjecture,
! [X10] :
( ! [X30] :
( ! [X20] :
( ~ r1(X20)
| ~ r3(X30,X20,X10) )
| ! [X21] :
( ~ r1(X21)
| ~ r2(X21,X30) ) )
| ! [X31] :
( ~ equal(X10,X31)
| ! [X32] :
( ~ r1(X32)
| ~ r2(X32,X31) ) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(63,negated_conjecture,
! [X33] :
( ! [X34] :
( ! [X35] :
( ~ r1(X35)
| ~ r3(X34,X35,X33) )
| ! [X36] :
( ~ r1(X36)
| ~ r2(X36,X34) ) )
| ! [X37] :
( ~ equal(X33,X37)
| ! [X38] :
( ~ r1(X38)
| ~ r2(X38,X37) ) ) ),
inference(variable_rename,[status(thm)],[62]) ).
fof(64,negated_conjecture,
! [X33,X34,X35,X36,X37,X38] :
( ~ r1(X38)
| ~ r2(X38,X37)
| ~ equal(X33,X37)
| ~ r1(X36)
| ~ r2(X36,X34)
| ~ r1(X35)
| ~ r3(X34,X35,X33) ),
inference(shift_quantors,[status(thm)],[63]) ).
cnf(65,negated_conjecture,
( ~ r3(X1,X2,X3)
| ~ r1(X2)
| ~ r2(X4,X1)
| ~ r1(X4)
| X3 != X5
| ~ r2(X6,X5)
| ~ r1(X6) ),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(66,plain,
r3(X1,esk12_1(X1),X1),
inference(rw,[status(thm)],[57,56,theory(equality)]),
[unfolding] ).
cnf(68,plain,
esk6_0 = esk12_1(X1),
inference(spm,[status(thm)],[45,58,theory(equality)]) ).
cnf(70,plain,
r2(X1,esk1_1(X1)),
inference(er,[status(thm)],[20,theory(equality)]) ).
cnf(84,negated_conjecture,
( ~ r3(X1,X2,X3)
| ~ r1(X4)
| ~ r1(X5)
| ~ r1(X2)
| ~ r2(X4,X3)
| ~ r2(X5,X1) ),
inference(er,[status(thm)],[65,theory(equality)]) ).
cnf(91,plain,
r3(X1,esk6_0,X1),
inference(rw,[status(thm)],[66,68,theory(equality)]) ).
cnf(92,plain,
r1(esk6_0),
inference(rw,[status(thm)],[58,68,theory(equality)]) ).
cnf(244,negated_conjecture,
( ~ r1(X2)
| ~ r1(X3)
| ~ r1(esk6_0)
| ~ r2(X2,X1)
| ~ r2(X3,X1) ),
inference(spm,[status(thm)],[84,91,theory(equality)]) ).
cnf(248,negated_conjecture,
( ~ r1(X2)
| ~ r1(X3)
| $false
| ~ r2(X2,X1)
| ~ r2(X3,X1) ),
inference(rw,[status(thm)],[244,92,theory(equality)]) ).
cnf(249,negated_conjecture,
( ~ r1(X2)
| ~ r1(X3)
| ~ r2(X2,X1)
| ~ r2(X3,X1) ),
inference(cn,[status(thm)],[248,theory(equality)]) ).
cnf(265,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ r2(X2,esk1_1(X1)) ),
inference(spm,[status(thm)],[249,70,theory(equality)]) ).
cnf(271,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[265,70,theory(equality)]) ).
cnf(307,plain,
$false,
inference(sr,[status(thm)],[92,271,theory(equality)]) ).
cnf(308,plain,
$false,
307,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUN070+2 : 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 : n186.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 : Sat Feb 23 19:59:42 CST 2019
% 0.03/0.25 % CPUTime :
% 0.03/0.29 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 --creating new selector for [NUM008+0.ax]
% 0.08/0.38 -running prover on /export/starexec/sandbox/tmp/tmp79Uj96/sel_theBenchmark.p_1 with time limit 29
% 0.08/0.38 -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/tmp79Uj96/sel_theBenchmark.p_1']
% 0.08/0.38 -prover status Theorem
% 0.08/0.38 Problem theBenchmark.p solved in phase 0.
% 0.08/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.38 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.38 Solved 1 out of 1.
% 0.08/0.38 # Problem is unsatisfiable (or provable), constructing proof object
% 0.08/0.38 # SZS status Theorem
% 0.08/0.38 # SZS output start CNFRefutation.
% See solution above
% 0.08/0.39 # SZS output end CNFRefutation
%------------------------------------------------------------------------------