TSTP Solution File: KRS132+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS132+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 13:01:45 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 156 ( 10 unt; 0 def)
% Number of atoms : 633 ( 0 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 763 ( 286 ~; 359 |; 98 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 176 ( 10 sgn 100 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( cnotB(X1)
<=> ! [X2] :
( rr(X1,X2)
=> cNothing(X2) ) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_10) ).
fof(2,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cAorB(X1)
<=> ( cB(X1)
| cA(X1) ) ) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',the_axiom) ).
fof(3,axiom,
! [X1] :
( cA(X1)
<=> ? [X2] :
( rq(X1,X2)
& cowlThing(X2) ) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_2) ).
fof(4,axiom,
! [X1] :
( cAorB(X1)
<=> ? [X2] :
( rs(X1,X2)
& cowlThing(X2) ) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_3) ).
fof(5,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_0) ).
fof(6,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_1) ).
fof(7,axiom,
! [X1] :
( cNothing(X1)
=> ~ ? [X2] : rp(X1,X2) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_6) ).
fof(8,axiom,
! [X1] :
( cnotA(X1)
<=> ! [X2] :
( rq(X1,X2)
=> cNothing(X2) ) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_7) ).
fof(9,axiom,
! [X1] :
( cB(X1)
<=> ? [X2] :
( rr(X1,X2)
& cowlThing(X2) ) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_4) ).
fof(10,axiom,
! [X1] :
( cNothing(X1)
=> ? [X3] : rp(X1,X3) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_5) ).
fof(11,axiom,
! [X1] :
( cnotAorB(X1)
<=> ! [X2] :
( rs(X1,X2)
=> cNothing(X2) ) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_8) ).
fof(12,axiom,
! [X1] :
( cnotAorB(X1)
<=> ( cnotB(X1)
& cnotA(X1) ) ),
file('/tmp/tmpYklWK6/sel_KRS132+1.p_1',axiom_9) ).
fof(13,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cAorB(X1)
<=> ( cB(X1)
| cA(X1) ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(14,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cAorB(X1)
<=> ( cB(X1)
| cA(X1) ) ) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(15,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(16,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(17,plain,
! [X1] :
( ( ~ cnotB(X1)
| ! [X2] :
( ~ rr(X1,X2)
| cNothing(X2) ) )
& ( ? [X2] :
( rr(X1,X2)
& ~ cNothing(X2) )
| cnotB(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(18,plain,
! [X3] :
( ( ~ cnotB(X3)
| ! [X4] :
( ~ rr(X3,X4)
| cNothing(X4) ) )
& ( ? [X5] :
( rr(X3,X5)
& ~ cNothing(X5) )
| cnotB(X3) ) ),
inference(variable_rename,[status(thm)],[17]) ).
fof(19,plain,
! [X3] :
( ( ~ cnotB(X3)
| ! [X4] :
( ~ rr(X3,X4)
| cNothing(X4) ) )
& ( ( rr(X3,esk1_1(X3))
& ~ cNothing(esk1_1(X3)) )
| cnotB(X3) ) ),
inference(skolemize,[status(esa)],[18]) ).
fof(20,plain,
! [X3,X4] :
( ( ~ rr(X3,X4)
| cNothing(X4)
| ~ cnotB(X3) )
& ( ( rr(X3,esk1_1(X3))
& ~ cNothing(esk1_1(X3)) )
| cnotB(X3) ) ),
inference(shift_quantors,[status(thm)],[19]) ).
fof(21,plain,
! [X3,X4] :
( ( ~ rr(X3,X4)
| cNothing(X4)
| ~ cnotB(X3) )
& ( rr(X3,esk1_1(X3))
| cnotB(X3) )
& ( ~ cNothing(esk1_1(X3))
| cnotB(X3) ) ),
inference(distribute,[status(thm)],[20]) ).
cnf(23,plain,
( cnotB(X1)
| rr(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(24,plain,
( cNothing(X2)
| ~ cnotB(X1)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(25,negated_conjecture,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ? [X1] :
( ( ~ cAorB(X1)
| ( ~ cB(X1)
& ~ cA(X1) ) )
& ( cAorB(X1)
| cB(X1)
| cA(X1) ) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(26,negated_conjecture,
( ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ? [X4] :
( ( ~ cAorB(X4)
| ( ~ cB(X4)
& ~ cA(X4) ) )
& ( cAorB(X4)
| cB(X4)
| cA(X4) ) ) ),
inference(variable_rename,[status(thm)],[25]) ).
fof(27,negated_conjecture,
( ~ cowlThing(esk2_0)
| cowlNothing(esk2_0)
| ( ( ~ xsd_string(esk3_0)
| xsd_integer(esk3_0) )
& ( xsd_string(esk3_0)
| ~ xsd_integer(esk3_0) ) )
| ( ( ~ cAorB(esk4_0)
| ( ~ cB(esk4_0)
& ~ cA(esk4_0) ) )
& ( cAorB(esk4_0)
| cB(esk4_0)
| cA(esk4_0) ) ) ),
inference(skolemize,[status(esa)],[26]) ).
fof(28,negated_conjecture,
( ( ~ cB(esk4_0)
| ~ cAorB(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( ~ cA(esk4_0)
| ~ cAorB(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( cAorB(esk4_0)
| cB(esk4_0)
| cA(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( ~ cB(esk4_0)
| ~ cAorB(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( ~ cA(esk4_0)
| ~ cAorB(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( cAorB(esk4_0)
| cB(esk4_0)
| cA(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) ) ),
inference(distribute,[status(thm)],[27]) ).
cnf(29,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| cA(esk4_0)
| cB(esk4_0)
| cAorB(esk4_0)
| ~ cowlThing(esk2_0)
| ~ xsd_integer(esk3_0) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(30,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ cowlThing(esk2_0)
| ~ xsd_integer(esk3_0)
| ~ cAorB(esk4_0)
| ~ cA(esk4_0) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(31,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ cowlThing(esk2_0)
| ~ xsd_integer(esk3_0)
| ~ cAorB(esk4_0)
| ~ cB(esk4_0) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(32,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| cA(esk4_0)
| cB(esk4_0)
| cAorB(esk4_0)
| ~ cowlThing(esk2_0)
| ~ xsd_string(esk3_0) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(33,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| ~ xsd_string(esk3_0)
| ~ cAorB(esk4_0)
| ~ cA(esk4_0) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(34,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| ~ xsd_string(esk3_0)
| ~ cAorB(esk4_0)
| ~ cB(esk4_0) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(35,plain,
! [X1] :
( ( ~ cA(X1)
| ? [X2] :
( rq(X1,X2)
& cowlThing(X2) ) )
& ( ! [X2] :
( ~ rq(X1,X2)
| ~ cowlThing(X2) )
| cA(X1) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(36,plain,
! [X3] :
( ( ~ cA(X3)
| ? [X4] :
( rq(X3,X4)
& cowlThing(X4) ) )
& ( ! [X5] :
( ~ rq(X3,X5)
| ~ cowlThing(X5) )
| cA(X3) ) ),
inference(variable_rename,[status(thm)],[35]) ).
fof(37,plain,
! [X3] :
( ( ~ cA(X3)
| ( rq(X3,esk5_1(X3))
& cowlThing(esk5_1(X3)) ) )
& ( ! [X5] :
( ~ rq(X3,X5)
| ~ cowlThing(X5) )
| cA(X3) ) ),
inference(skolemize,[status(esa)],[36]) ).
fof(38,plain,
! [X3,X5] :
( ( ~ rq(X3,X5)
| ~ cowlThing(X5)
| cA(X3) )
& ( ~ cA(X3)
| ( rq(X3,esk5_1(X3))
& cowlThing(esk5_1(X3)) ) ) ),
inference(shift_quantors,[status(thm)],[37]) ).
fof(39,plain,
! [X3,X5] :
( ( ~ rq(X3,X5)
| ~ cowlThing(X5)
| cA(X3) )
& ( rq(X3,esk5_1(X3))
| ~ cA(X3) )
& ( cowlThing(esk5_1(X3))
| ~ cA(X3) ) ),
inference(distribute,[status(thm)],[38]) ).
cnf(41,plain,
( rq(X1,esk5_1(X1))
| ~ cA(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(42,plain,
( cA(X1)
| ~ cowlThing(X2)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(43,plain,
! [X1] :
( ( ~ cAorB(X1)
| ? [X2] :
( rs(X1,X2)
& cowlThing(X2) ) )
& ( ! [X2] :
( ~ rs(X1,X2)
| ~ cowlThing(X2) )
| cAorB(X1) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(44,plain,
! [X3] :
( ( ~ cAorB(X3)
| ? [X4] :
( rs(X3,X4)
& cowlThing(X4) ) )
& ( ! [X5] :
( ~ rs(X3,X5)
| ~ cowlThing(X5) )
| cAorB(X3) ) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,plain,
! [X3] :
( ( ~ cAorB(X3)
| ( rs(X3,esk6_1(X3))
& cowlThing(esk6_1(X3)) ) )
& ( ! [X5] :
( ~ rs(X3,X5)
| ~ cowlThing(X5) )
| cAorB(X3) ) ),
inference(skolemize,[status(esa)],[44]) ).
fof(46,plain,
! [X3,X5] :
( ( ~ rs(X3,X5)
| ~ cowlThing(X5)
| cAorB(X3) )
& ( ~ cAorB(X3)
| ( rs(X3,esk6_1(X3))
& cowlThing(esk6_1(X3)) ) ) ),
inference(shift_quantors,[status(thm)],[45]) ).
fof(47,plain,
! [X3,X5] :
( ( ~ rs(X3,X5)
| ~ cowlThing(X5)
| cAorB(X3) )
& ( rs(X3,esk6_1(X3))
| ~ cAorB(X3) )
& ( cowlThing(esk6_1(X3))
| ~ cAorB(X3) ) ),
inference(distribute,[status(thm)],[46]) ).
cnf(49,plain,
( rs(X1,esk6_1(X1))
| ~ cAorB(X1) ),
inference(split_conjunct,[status(thm)],[47]) ).
cnf(50,plain,
( cAorB(X1)
| ~ cowlThing(X2)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(51,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[15]) ).
cnf(52,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[51]) ).
fof(54,plain,
! [X1] :
( ( ~ xsd_string(X1)
| ~ xsd_integer(X1) )
& ( xsd_integer(X1)
| xsd_string(X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(55,plain,
! [X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(variable_rename,[status(thm)],[54]) ).
cnf(56,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(58,plain,
! [X1] :
( ~ cNothing(X1)
| ! [X2] : ~ rp(X1,X2) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(59,plain,
! [X3] :
( ~ cNothing(X3)
| ! [X4] : ~ rp(X3,X4) ),
inference(variable_rename,[status(thm)],[58]) ).
fof(60,plain,
! [X3,X4] :
( ~ rp(X3,X4)
| ~ cNothing(X3) ),
inference(shift_quantors,[status(thm)],[59]) ).
cnf(61,plain,
( ~ cNothing(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
fof(62,plain,
! [X1] :
( ( ~ cnotA(X1)
| ! [X2] :
( ~ rq(X1,X2)
| cNothing(X2) ) )
& ( ? [X2] :
( rq(X1,X2)
& ~ cNothing(X2) )
| cnotA(X1) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(63,plain,
! [X3] :
( ( ~ cnotA(X3)
| ! [X4] :
( ~ rq(X3,X4)
| cNothing(X4) ) )
& ( ? [X5] :
( rq(X3,X5)
& ~ cNothing(X5) )
| cnotA(X3) ) ),
inference(variable_rename,[status(thm)],[62]) ).
fof(64,plain,
! [X3] :
( ( ~ cnotA(X3)
| ! [X4] :
( ~ rq(X3,X4)
| cNothing(X4) ) )
& ( ( rq(X3,esk7_1(X3))
& ~ cNothing(esk7_1(X3)) )
| cnotA(X3) ) ),
inference(skolemize,[status(esa)],[63]) ).
fof(65,plain,
! [X3,X4] :
( ( ~ rq(X3,X4)
| cNothing(X4)
| ~ cnotA(X3) )
& ( ( rq(X3,esk7_1(X3))
& ~ cNothing(esk7_1(X3)) )
| cnotA(X3) ) ),
inference(shift_quantors,[status(thm)],[64]) ).
fof(66,plain,
! [X3,X4] :
( ( ~ rq(X3,X4)
| cNothing(X4)
| ~ cnotA(X3) )
& ( rq(X3,esk7_1(X3))
| cnotA(X3) )
& ( ~ cNothing(esk7_1(X3))
| cnotA(X3) ) ),
inference(distribute,[status(thm)],[65]) ).
cnf(68,plain,
( cnotA(X1)
| rq(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,plain,
( cNothing(X2)
| ~ cnotA(X1)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(70,plain,
! [X1] :
( ( ~ cB(X1)
| ? [X2] :
( rr(X1,X2)
& cowlThing(X2) ) )
& ( ! [X2] :
( ~ rr(X1,X2)
| ~ cowlThing(X2) )
| cB(X1) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(71,plain,
! [X3] :
( ( ~ cB(X3)
| ? [X4] :
( rr(X3,X4)
& cowlThing(X4) ) )
& ( ! [X5] :
( ~ rr(X3,X5)
| ~ cowlThing(X5) )
| cB(X3) ) ),
inference(variable_rename,[status(thm)],[70]) ).
fof(72,plain,
! [X3] :
( ( ~ cB(X3)
| ( rr(X3,esk8_1(X3))
& cowlThing(esk8_1(X3)) ) )
& ( ! [X5] :
( ~ rr(X3,X5)
| ~ cowlThing(X5) )
| cB(X3) ) ),
inference(skolemize,[status(esa)],[71]) ).
fof(73,plain,
! [X3,X5] :
( ( ~ rr(X3,X5)
| ~ cowlThing(X5)
| cB(X3) )
& ( ~ cB(X3)
| ( rr(X3,esk8_1(X3))
& cowlThing(esk8_1(X3)) ) ) ),
inference(shift_quantors,[status(thm)],[72]) ).
fof(74,plain,
! [X3,X5] :
( ( ~ rr(X3,X5)
| ~ cowlThing(X5)
| cB(X3) )
& ( rr(X3,esk8_1(X3))
| ~ cB(X3) )
& ( cowlThing(esk8_1(X3))
| ~ cB(X3) ) ),
inference(distribute,[status(thm)],[73]) ).
cnf(76,plain,
( rr(X1,esk8_1(X1))
| ~ cB(X1) ),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(77,plain,
( cB(X1)
| ~ cowlThing(X2)
| ~ rr(X1,X2) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(78,plain,
! [X1] :
( ~ cNothing(X1)
| ? [X3] : rp(X1,X3) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(79,plain,
! [X4] :
( ~ cNothing(X4)
| ? [X5] : rp(X4,X5) ),
inference(variable_rename,[status(thm)],[78]) ).
fof(80,plain,
! [X4] :
( ~ cNothing(X4)
| rp(X4,esk9_1(X4)) ),
inference(skolemize,[status(esa)],[79]) ).
cnf(81,plain,
( rp(X1,esk9_1(X1))
| ~ cNothing(X1) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(82,plain,
! [X1] :
( ( ~ cnotAorB(X1)
| ! [X2] :
( ~ rs(X1,X2)
| cNothing(X2) ) )
& ( ? [X2] :
( rs(X1,X2)
& ~ cNothing(X2) )
| cnotAorB(X1) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(83,plain,
! [X3] :
( ( ~ cnotAorB(X3)
| ! [X4] :
( ~ rs(X3,X4)
| cNothing(X4) ) )
& ( ? [X5] :
( rs(X3,X5)
& ~ cNothing(X5) )
| cnotAorB(X3) ) ),
inference(variable_rename,[status(thm)],[82]) ).
fof(84,plain,
! [X3] :
( ( ~ cnotAorB(X3)
| ! [X4] :
( ~ rs(X3,X4)
| cNothing(X4) ) )
& ( ( rs(X3,esk10_1(X3))
& ~ cNothing(esk10_1(X3)) )
| cnotAorB(X3) ) ),
inference(skolemize,[status(esa)],[83]) ).
fof(85,plain,
! [X3,X4] :
( ( ~ rs(X3,X4)
| cNothing(X4)
| ~ cnotAorB(X3) )
& ( ( rs(X3,esk10_1(X3))
& ~ cNothing(esk10_1(X3)) )
| cnotAorB(X3) ) ),
inference(shift_quantors,[status(thm)],[84]) ).
fof(86,plain,
! [X3,X4] :
( ( ~ rs(X3,X4)
| cNothing(X4)
| ~ cnotAorB(X3) )
& ( rs(X3,esk10_1(X3))
| cnotAorB(X3) )
& ( ~ cNothing(esk10_1(X3))
| cnotAorB(X3) ) ),
inference(distribute,[status(thm)],[85]) ).
cnf(88,plain,
( cnotAorB(X1)
| rs(X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(89,plain,
( cNothing(X2)
| ~ cnotAorB(X1)
| ~ rs(X1,X2) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(90,plain,
! [X1] :
( ( ~ cnotAorB(X1)
| ( cnotB(X1)
& cnotA(X1) ) )
& ( ~ cnotB(X1)
| ~ cnotA(X1)
| cnotAorB(X1) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(91,plain,
! [X2] :
( ( ~ cnotAorB(X2)
| ( cnotB(X2)
& cnotA(X2) ) )
& ( ~ cnotB(X2)
| ~ cnotA(X2)
| cnotAorB(X2) ) ),
inference(variable_rename,[status(thm)],[90]) ).
fof(92,plain,
! [X2] :
( ( cnotB(X2)
| ~ cnotAorB(X2) )
& ( cnotA(X2)
| ~ cnotAorB(X2) )
& ( ~ cnotB(X2)
| ~ cnotA(X2)
| cnotAorB(X2) ) ),
inference(distribute,[status(thm)],[91]) ).
cnf(93,plain,
( cnotAorB(X1)
| ~ cnotA(X1)
| ~ cnotB(X1) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(94,plain,
( cnotA(X1)
| ~ cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(95,plain,
( cnotB(X1)
| ~ cnotAorB(X1) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(99,plain,
( cAorB(X1)
| $false
| ~ rs(X1,X2) ),
inference(rw,[status(thm)],[50,53,theory(equality)]),
[unfolding] ).
cnf(100,plain,
( cB(X1)
| $false
| ~ rr(X1,X2) ),
inference(rw,[status(thm)],[77,53,theory(equality)]),
[unfolding] ).
cnf(101,plain,
( cA(X1)
| $false
| ~ rq(X1,X2) ),
inference(rw,[status(thm)],[42,53,theory(equality)]),
[unfolding] ).
cnf(102,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| cAorB(esk4_0)
| cB(esk4_0)
| cA(esk4_0)
| $false
| ~ xsd_integer(esk3_0) ),
inference(rw,[status(thm)],[29,53,theory(equality)]),
[unfolding] ).
cnf(103,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| cAorB(esk4_0)
| cB(esk4_0)
| cA(esk4_0)
| $false
| ~ xsd_string(esk3_0) ),
inference(rw,[status(thm)],[32,53,theory(equality)]),
[unfolding] ).
cnf(104,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| $false
| ~ xsd_integer(esk3_0)
| ~ cAorB(esk4_0)
| ~ cB(esk4_0) ),
inference(rw,[status(thm)],[31,53,theory(equality)]),
[unfolding] ).
cnf(105,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| $false
| ~ xsd_integer(esk3_0)
| ~ cAorB(esk4_0)
| ~ cA(esk4_0) ),
inference(rw,[status(thm)],[30,53,theory(equality)]),
[unfolding] ).
cnf(106,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| $false
| ~ xsd_string(esk3_0)
| ~ cAorB(esk4_0)
| ~ cB(esk4_0) ),
inference(rw,[status(thm)],[34,53,theory(equality)]),
[unfolding] ).
cnf(107,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| $false
| ~ xsd_string(esk3_0)
| ~ cAorB(esk4_0)
| ~ cA(esk4_0) ),
inference(rw,[status(thm)],[33,53,theory(equality)]),
[unfolding] ).
cnf(109,negated_conjecture,
( xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cAorB(esk4_0)
| ~ cB(esk4_0) ),
inference(sr,[status(thm)],[104,52,theory(equality)]) ).
cnf(110,negated_conjecture,
( xsd_string(esk3_0)
| ~ cB(esk4_0)
| ~ cAorB(esk4_0) ),
inference(csr,[status(thm)],[109,56]) ).
cnf(111,negated_conjecture,
( xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cAorB(esk4_0)
| ~ cA(esk4_0) ),
inference(sr,[status(thm)],[105,52,theory(equality)]) ).
cnf(112,negated_conjecture,
( xsd_string(esk3_0)
| ~ cA(esk4_0)
| ~ cAorB(esk4_0) ),
inference(csr,[status(thm)],[111,56]) ).
cnf(113,negated_conjecture,
( xsd_integer(esk3_0)
| ~ xsd_string(esk3_0)
| ~ cAorB(esk4_0)
| ~ cB(esk4_0) ),
inference(sr,[status(thm)],[106,52,theory(equality)]) ).
cnf(114,negated_conjecture,
( xsd_integer(esk3_0)
| ~ cB(esk4_0)
| ~ cAorB(esk4_0) ),
inference(csr,[status(thm)],[113,56]) ).
cnf(115,negated_conjecture,
( xsd_integer(esk3_0)
| ~ xsd_string(esk3_0)
| ~ cAorB(esk4_0)
| ~ cA(esk4_0) ),
inference(sr,[status(thm)],[107,52,theory(equality)]) ).
cnf(116,negated_conjecture,
( xsd_integer(esk3_0)
| ~ cA(esk4_0)
| ~ cAorB(esk4_0) ),
inference(csr,[status(thm)],[115,56]) ).
cnf(117,negated_conjecture,
( xsd_string(esk3_0)
| cAorB(esk4_0)
| cB(esk4_0)
| cA(esk4_0)
| ~ xsd_integer(esk3_0) ),
inference(sr,[status(thm)],[102,52,theory(equality)]) ).
cnf(118,negated_conjecture,
( cA(esk4_0)
| cB(esk4_0)
| cAorB(esk4_0)
| xsd_string(esk3_0) ),
inference(csr,[status(thm)],[117,56]) ).
cnf(121,negated_conjecture,
( xsd_integer(esk3_0)
| cAorB(esk4_0)
| cB(esk4_0)
| cA(esk4_0)
| ~ xsd_string(esk3_0) ),
inference(sr,[status(thm)],[103,52,theory(equality)]) ).
cnf(122,negated_conjecture,
( cA(esk4_0)
| cB(esk4_0)
| cAorB(esk4_0)
| xsd_integer(esk3_0) ),
inference(csr,[status(thm)],[121,56]) ).
cnf(129,plain,
( cB(X1)
| cnotB(X1) ),
inference(spm,[status(thm)],[100,23,theory(equality)]) ).
cnf(130,plain,
( cA(X1)
| cnotA(X1) ),
inference(spm,[status(thm)],[101,68,theory(equality)]) ).
cnf(131,plain,
( cAorB(X1)
| cnotAorB(X1) ),
inference(spm,[status(thm)],[99,88,theory(equality)]) ).
cnf(132,plain,
~ cNothing(X1),
inference(csr,[status(thm)],[81,61]) ).
cnf(133,plain,
( ~ cnotB(X1)
| ~ rr(X1,X2) ),
inference(sr,[status(thm)],[24,132,theory(equality)]) ).
cnf(134,plain,
( ~ cnotB(X1)
| ~ cB(X1) ),
inference(spm,[status(thm)],[133,76,theory(equality)]) ).
cnf(136,plain,
( ~ cnotA(X1)
| ~ rq(X1,X2) ),
inference(sr,[status(thm)],[69,132,theory(equality)]) ).
cnf(137,plain,
( ~ cnotA(X1)
| ~ cA(X1) ),
inference(spm,[status(thm)],[136,41,theory(equality)]) ).
cnf(139,plain,
( ~ cnotAorB(X1)
| ~ rs(X1,X2) ),
inference(sr,[status(thm)],[89,132,theory(equality)]) ).
cnf(140,plain,
( ~ cnotAorB(X1)
| ~ cAorB(X1) ),
inference(spm,[status(thm)],[139,49,theory(equality)]) ).
cnf(142,plain,
( ~ cB(X1)
| ~ cnotAorB(X1) ),
inference(spm,[status(thm)],[134,95,theory(equality)]) ).
cnf(144,plain,
( cnotAorB(X1)
| cA(X1)
| ~ cnotB(X1) ),
inference(spm,[status(thm)],[93,130,theory(equality)]) ).
cnf(145,plain,
( ~ cA(X1)
| ~ cnotAorB(X1) ),
inference(spm,[status(thm)],[137,94,theory(equality)]) ).
cnf(148,negated_conjecture,
( cB(esk4_0)
| cAorB(esk4_0)
| xsd_string(esk3_0)
| ~ cnotAorB(esk4_0) ),
inference(spm,[status(thm)],[145,118,theory(equality)]) ).
cnf(149,negated_conjecture,
( cB(esk4_0)
| cAorB(esk4_0)
| xsd_integer(esk3_0)
| ~ cnotAorB(esk4_0) ),
inference(spm,[status(thm)],[145,122,theory(equality)]) ).
cnf(150,negated_conjecture,
( cB(esk4_0)
| cAorB(esk4_0)
| xsd_string(esk3_0) ),
inference(csr,[status(thm)],[148,131]) ).
cnf(153,negated_conjecture,
( cAorB(esk4_0)
| xsd_string(esk3_0)
| ~ cnotAorB(esk4_0) ),
inference(spm,[status(thm)],[142,150,theory(equality)]) ).
cnf(154,negated_conjecture,
( cB(esk4_0)
| cAorB(esk4_0)
| xsd_integer(esk3_0) ),
inference(csr,[status(thm)],[149,131]) ).
cnf(157,negated_conjecture,
( cAorB(esk4_0)
| xsd_integer(esk3_0)
| ~ cnotAorB(esk4_0) ),
inference(spm,[status(thm)],[142,154,theory(equality)]) ).
cnf(158,negated_conjecture,
( cAorB(esk4_0)
| xsd_string(esk3_0) ),
inference(csr,[status(thm)],[153,131]) ).
cnf(159,negated_conjecture,
( cAorB(esk4_0)
| ~ xsd_integer(esk3_0) ),
inference(spm,[status(thm)],[57,158,theory(equality)]) ).
cnf(160,negated_conjecture,
( cAorB(esk4_0)
| xsd_integer(esk3_0) ),
inference(csr,[status(thm)],[157,131]) ).
cnf(161,negated_conjecture,
cAorB(esk4_0),
inference(csr,[status(thm)],[160,159]) ).
cnf(165,negated_conjecture,
( xsd_integer(esk3_0)
| ~ cA(esk4_0)
| $false ),
inference(rw,[status(thm)],[116,161,theory(equality)]) ).
cnf(166,negated_conjecture,
( xsd_integer(esk3_0)
| ~ cA(esk4_0) ),
inference(cn,[status(thm)],[165,theory(equality)]) ).
cnf(167,negated_conjecture,
( xsd_integer(esk3_0)
| ~ cB(esk4_0)
| $false ),
inference(rw,[status(thm)],[114,161,theory(equality)]) ).
cnf(168,negated_conjecture,
( xsd_integer(esk3_0)
| ~ cB(esk4_0) ),
inference(cn,[status(thm)],[167,theory(equality)]) ).
cnf(169,negated_conjecture,
( xsd_string(esk3_0)
| ~ cA(esk4_0)
| $false ),
inference(rw,[status(thm)],[112,161,theory(equality)]) ).
cnf(170,negated_conjecture,
( xsd_string(esk3_0)
| ~ cA(esk4_0) ),
inference(cn,[status(thm)],[169,theory(equality)]) ).
cnf(171,negated_conjecture,
( xsd_string(esk3_0)
| ~ cB(esk4_0)
| $false ),
inference(rw,[status(thm)],[110,161,theory(equality)]) ).
cnf(172,negated_conjecture,
( xsd_string(esk3_0)
| ~ cB(esk4_0) ),
inference(cn,[status(thm)],[171,theory(equality)]) ).
cnf(174,plain,
( cnotAorB(X1)
| cA(X1)
| cB(X1) ),
inference(spm,[status(thm)],[144,129,theory(equality)]) ).
cnf(176,negated_conjecture,
( xsd_integer(esk3_0)
| cnotAorB(esk4_0)
| cB(esk4_0) ),
inference(spm,[status(thm)],[166,174,theory(equality)]) ).
cnf(177,negated_conjecture,
( xsd_string(esk3_0)
| cnotAorB(esk4_0)
| cB(esk4_0) ),
inference(spm,[status(thm)],[170,174,theory(equality)]) ).
cnf(178,negated_conjecture,
( cnotAorB(esk4_0)
| xsd_integer(esk3_0) ),
inference(csr,[status(thm)],[176,168]) ).
cnf(179,negated_conjecture,
( xsd_integer(esk3_0)
| ~ cAorB(esk4_0) ),
inference(spm,[status(thm)],[140,178,theory(equality)]) ).
cnf(180,negated_conjecture,
( xsd_integer(esk3_0)
| $false ),
inference(rw,[status(thm)],[179,161,theory(equality)]) ).
cnf(181,negated_conjecture,
xsd_integer(esk3_0),
inference(cn,[status(thm)],[180,theory(equality)]) ).
cnf(185,negated_conjecture,
( cnotAorB(esk4_0)
| xsd_string(esk3_0) ),
inference(csr,[status(thm)],[177,172]) ).
cnf(186,negated_conjecture,
( xsd_string(esk3_0)
| ~ cAorB(esk4_0) ),
inference(spm,[status(thm)],[140,185,theory(equality)]) ).
cnf(187,negated_conjecture,
( xsd_string(esk3_0)
| $false ),
inference(rw,[status(thm)],[186,161,theory(equality)]) ).
cnf(188,negated_conjecture,
xsd_string(esk3_0),
inference(cn,[status(thm)],[187,theory(equality)]) ).
cnf(189,negated_conjecture,
~ xsd_integer(esk3_0),
inference(spm,[status(thm)],[57,188,theory(equality)]) ).
cnf(193,negated_conjecture,
$false,
inference(rw,[status(thm)],[189,181,theory(equality)]) ).
cnf(194,negated_conjecture,
$false,
inference(cn,[status(thm)],[193,theory(equality)]) ).
cnf(195,negated_conjecture,
$false,
194,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS132+1.p
% --creating new selector for []
% -running prover on /tmp/tmpYklWK6/sel_KRS132+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS132+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS132+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS132+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------