TSTP Solution File: SEU291+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU291+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 : Sun Dec 26 06:53:07 EST 2010
% Result : Theorem 0.32s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 104 ( 18 unt; 0 def)
% Number of atoms : 338 ( 104 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 387 ( 153 ~; 169 |; 46 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 180 ( 5 sgn 89 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,conjecture,
! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( subset(X2,X3)
=> ( ( X2 = empty_set
& X1 != empty_set )
| ( function(X4)
& quasi_total(X4,X1,X3)
& relation_of2_as_subset(X4,X1,X3) ) ) ) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',t9_funct_2) ).
fof(8,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> element(relation_dom_as_subset(X1,X2,X3),powerset(X1)) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',dt_k4_relset_1) ).
fof(13,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',redefinition_k4_relset_1) ).
fof(15,axiom,
! [X1] :
( subset(X1,empty_set)
=> X1 = empty_set ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',t3_xboole_1) ).
fof(22,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',fc4_relat_1) ).
fof(27,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',redefinition_m2_relset_1) ).
fof(28,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',t5_subset) ).
fof(32,axiom,
! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(X1,X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',t16_relset_1) ).
fof(34,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',t2_subset) ).
fof(38,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',t3_subset) ).
fof(40,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',existence_m1_subset_1) ).
fof(43,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',t6_boole) ).
fof(51,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( ( ( X2 = empty_set
=> X1 = empty_set )
=> ( quasi_total(X3,X1,X2)
<=> X1 = relation_dom_as_subset(X1,X2,X3) ) )
& ( X2 = empty_set
=> ( X1 = empty_set
| ( quasi_total(X3,X1,X2)
<=> X3 = empty_set ) ) ) ) ),
file('/tmp/tmpsdopvn/sel_SEU291+1.p_1',d1_funct_2) ).
fof(53,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( subset(X2,X3)
=> ( ( X2 = empty_set
& X1 != empty_set )
| ( function(X4)
& quasi_total(X4,X1,X3)
& relation_of2_as_subset(X4,X1,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(66,negated_conjecture,
? [X1,X2,X3,X4] :
( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2)
& subset(X2,X3)
& ( X2 != empty_set
| X1 = empty_set )
& ( ~ function(X4)
| ~ quasi_total(X4,X1,X3)
| ~ relation_of2_as_subset(X4,X1,X3) ) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(67,negated_conjecture,
? [X5,X6,X7,X8] :
( function(X8)
& quasi_total(X8,X5,X6)
& relation_of2_as_subset(X8,X5,X6)
& subset(X6,X7)
& ( X6 != empty_set
| X5 = empty_set )
& ( ~ function(X8)
| ~ quasi_total(X8,X5,X7)
| ~ relation_of2_as_subset(X8,X5,X7) ) ),
inference(variable_rename,[status(thm)],[66]) ).
fof(68,negated_conjecture,
( function(esk5_0)
& quasi_total(esk5_0,esk2_0,esk3_0)
& relation_of2_as_subset(esk5_0,esk2_0,esk3_0)
& subset(esk3_0,esk4_0)
& ( esk3_0 != empty_set
| esk2_0 = empty_set )
& ( ~ function(esk5_0)
| ~ quasi_total(esk5_0,esk2_0,esk4_0)
| ~ relation_of2_as_subset(esk5_0,esk2_0,esk4_0) ) ),
inference(skolemize,[status(esa)],[67]) ).
cnf(69,negated_conjecture,
( ~ relation_of2_as_subset(esk5_0,esk2_0,esk4_0)
| ~ quasi_total(esk5_0,esk2_0,esk4_0)
| ~ function(esk5_0) ),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(70,negated_conjecture,
( esk2_0 = empty_set
| esk3_0 != empty_set ),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(71,negated_conjecture,
subset(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(72,negated_conjecture,
relation_of2_as_subset(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(73,negated_conjecture,
quasi_total(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(74,negated_conjecture,
function(esk5_0),
inference(split_conjunct,[status(thm)],[68]) ).
fof(93,plain,
! [X1,X2,X3] :
( ~ relation_of2(X3,X1,X2)
| element(relation_dom_as_subset(X1,X2,X3),powerset(X1)) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(94,plain,
! [X4,X5,X6] :
( ~ relation_of2(X6,X4,X5)
| element(relation_dom_as_subset(X4,X5,X6),powerset(X4)) ),
inference(variable_rename,[status(thm)],[93]) ).
cnf(95,plain,
( element(relation_dom_as_subset(X1,X2,X3),powerset(X1))
| ~ relation_of2(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[94]) ).
fof(114,plain,
! [X1,X2,X3] :
( ~ relation_of2(X3,X1,X2)
| relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(115,plain,
! [X4,X5,X6] :
( ~ relation_of2(X6,X4,X5)
| relation_dom_as_subset(X4,X5,X6) = relation_dom(X6) ),
inference(variable_rename,[status(thm)],[114]) ).
cnf(116,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(119,plain,
! [X1] :
( ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(120,plain,
! [X2] :
( ~ subset(X2,empty_set)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[119]) ).
cnf(121,plain,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
inference(split_conjunct,[status(thm)],[120]) ).
cnf(144,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[22]) ).
fof(158,plain,
! [X1,X2,X3] :
( ( ~ relation_of2_as_subset(X3,X1,X2)
| relation_of2(X3,X1,X2) )
& ( ~ relation_of2(X3,X1,X2)
| relation_of2_as_subset(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(159,plain,
! [X4,X5,X6] :
( ( ~ relation_of2_as_subset(X6,X4,X5)
| relation_of2(X6,X4,X5) )
& ( ~ relation_of2(X6,X4,X5)
| relation_of2_as_subset(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[158]) ).
cnf(160,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(161,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[159]) ).
fof(162,plain,
! [X1,X2,X3] :
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(163,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(variable_rename,[status(thm)],[162]) ).
cnf(164,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[163]) ).
fof(172,plain,
! [X1,X2,X3,X4] :
( ~ relation_of2_as_subset(X4,X3,X1)
| ~ subset(X1,X2)
| relation_of2_as_subset(X4,X3,X2) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(173,plain,
! [X5,X6,X7,X8] :
( ~ relation_of2_as_subset(X8,X7,X5)
| ~ subset(X5,X6)
| relation_of2_as_subset(X8,X7,X6) ),
inference(variable_rename,[status(thm)],[172]) ).
cnf(174,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ subset(X4,X3)
| ~ relation_of2_as_subset(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[173]) ).
fof(178,plain,
! [X1,X2] :
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(179,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[178]) ).
cnf(180,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[179]) ).
fof(188,plain,
! [X1,X2] :
( ( ~ element(X1,powerset(X2))
| subset(X1,X2) )
& ( ~ subset(X1,X2)
| element(X1,powerset(X2)) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(189,plain,
! [X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(variable_rename,[status(thm)],[188]) ).
cnf(190,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(191,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[189]) ).
fof(195,plain,
! [X3] :
? [X4] : element(X4,X3),
inference(variable_rename,[status(thm)],[40]) ).
fof(196,plain,
! [X3] : element(esk17_1(X3),X3),
inference(skolemize,[status(esa)],[195]) ).
cnf(197,plain,
element(esk17_1(X1),X1),
inference(split_conjunct,[status(thm)],[196]) ).
fof(203,plain,
! [X1] :
( ~ empty(X1)
| X1 = empty_set ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(204,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[203]) ).
cnf(205,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[204]) ).
fof(227,plain,
! [X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X1,X2)
| ( ( ( X2 = empty_set
& X1 != empty_set )
| ( ( ~ quasi_total(X3,X1,X2)
| X1 = relation_dom_as_subset(X1,X2,X3) )
& ( X1 != relation_dom_as_subset(X1,X2,X3)
| quasi_total(X3,X1,X2) ) ) )
& ( X2 != empty_set
| X1 = empty_set
| ( ( ~ quasi_total(X3,X1,X2)
| X3 = empty_set )
& ( X3 != empty_set
| quasi_total(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(228,plain,
! [X4,X5,X6] :
( ~ relation_of2_as_subset(X6,X4,X5)
| ( ( ( X5 = empty_set
& X4 != empty_set )
| ( ( ~ quasi_total(X6,X4,X5)
| X4 = relation_dom_as_subset(X4,X5,X6) )
& ( X4 != relation_dom_as_subset(X4,X5,X6)
| quasi_total(X6,X4,X5) ) ) )
& ( X5 != empty_set
| X4 = empty_set
| ( ( ~ quasi_total(X6,X4,X5)
| X6 = empty_set )
& ( X6 != empty_set
| quasi_total(X6,X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[227]) ).
fof(229,plain,
! [X4,X5,X6] :
( ( ~ quasi_total(X6,X4,X5)
| X4 = relation_dom_as_subset(X4,X5,X6)
| X5 = empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X4 != relation_dom_as_subset(X4,X5,X6)
| quasi_total(X6,X4,X5)
| X5 = empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( ~ quasi_total(X6,X4,X5)
| X4 = relation_dom_as_subset(X4,X5,X6)
| X4 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X4 != relation_dom_as_subset(X4,X5,X6)
| quasi_total(X6,X4,X5)
| X4 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( ~ quasi_total(X6,X4,X5)
| X6 = empty_set
| X4 = empty_set
| X5 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) )
& ( X6 != empty_set
| quasi_total(X6,X4,X5)
| X4 = empty_set
| X5 != empty_set
| ~ relation_of2_as_subset(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[228]) ).
cnf(232,plain,
( quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3)
| X2 != empty_set
| X2 != relation_dom_as_subset(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[229]) ).
cnf(234,plain,
( X3 = empty_set
| quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3)
| X2 != relation_dom_as_subset(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[229]) ).
cnf(235,plain,
( X3 = empty_set
| X2 = relation_dom_as_subset(X2,X3,X1)
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ quasi_total(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[229]) ).
cnf(255,negated_conjecture,
( $false
| ~ quasi_total(esk5_0,esk2_0,esk4_0)
| ~ relation_of2_as_subset(esk5_0,esk2_0,esk4_0) ),
inference(rw,[status(thm)],[69,74,theory(equality)]) ).
cnf(256,negated_conjecture,
( ~ quasi_total(esk5_0,esk2_0,esk4_0)
| ~ relation_of2_as_subset(esk5_0,esk2_0,esk4_0) ),
inference(cn,[status(thm)],[255,theory(equality)]) ).
cnf(268,negated_conjecture,
( relation_of2_as_subset(esk5_0,esk2_0,X1)
| ~ subset(esk3_0,X1) ),
inference(spm,[status(thm)],[174,72,theory(equality)]) ).
cnf(293,plain,
( ~ in(X1,X2)
| ~ empty(X3)
| ~ subset(X2,X3) ),
inference(spm,[status(thm)],[164,190,theory(equality)]) ).
cnf(296,plain,
( X1 = relation_dom(X3)
| empty_set = X2
| ~ relation_of2(X3,X1,X2)
| ~ relation_of2_as_subset(X3,X1,X2)
| ~ quasi_total(X3,X1,X2) ),
inference(spm,[status(thm)],[116,235,theory(equality)]) ).
cnf(297,plain,
( empty_set = X1
| quasi_total(X2,X3,X1)
| relation_dom(X2) != X3
| ~ relation_of2_as_subset(X2,X3,X1)
| ~ relation_of2(X2,X3,X1) ),
inference(spm,[status(thm)],[234,116,theory(equality)]) ).
cnf(306,plain,
( subset(relation_dom_as_subset(X1,X2,X3),X1)
| ~ relation_of2(X3,X1,X2) ),
inference(spm,[status(thm)],[191,95,theory(equality)]) ).
cnf(313,plain,
( quasi_total(X1,X2,X3)
| relation_dom(X1) != X2
| empty_set != X2
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
inference(spm,[status(thm)],[232,116,theory(equality)]) ).
cnf(318,plain,
( empty(X2)
| ~ empty(X3)
| ~ subset(X2,X3)
| ~ element(X1,X2) ),
inference(spm,[status(thm)],[293,180,theory(equality)]) ).
cnf(337,plain,
( empty(X1)
| ~ empty(X2)
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[318,197,theory(equality)]) ).
cnf(373,negated_conjecture,
relation_of2_as_subset(esk5_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[268,71,theory(equality)]) ).
cnf(379,negated_conjecture,
( $false
| ~ quasi_total(esk5_0,esk2_0,esk4_0) ),
inference(rw,[status(thm)],[256,373,theory(equality)]) ).
cnf(380,negated_conjecture,
~ quasi_total(esk5_0,esk2_0,esk4_0),
inference(cn,[status(thm)],[379,theory(equality)]) ).
cnf(678,plain,
( subset(relation_dom(X3),X1)
| ~ relation_of2(X3,X1,X2) ),
inference(spm,[status(thm)],[306,116,theory(equality)]) ).
cnf(706,plain,
( subset(relation_dom(X1),X2)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[678,161,theory(equality)]) ).
cnf(858,plain,
( X1 = relation_dom(X3)
| empty_set = X2
| ~ relation_of2(X3,X1,X2)
| ~ quasi_total(X3,X1,X2) ),
inference(csr,[status(thm)],[296,160]) ).
cnf(863,plain,
( X1 = relation_dom(X2)
| empty_set = X3
| ~ quasi_total(X2,X1,X3)
| ~ relation_of2_as_subset(X2,X1,X3) ),
inference(spm,[status(thm)],[858,161,theory(equality)]) ).
cnf(940,plain,
( empty_set = X1
| quasi_total(X2,X3,X1)
| relation_dom(X2) != X3
| ~ relation_of2_as_subset(X2,X3,X1) ),
inference(csr,[status(thm)],[297,161]) ).
cnf(941,plain,
( empty_set = X1
| quasi_total(X2,relation_dom(X2),X1)
| ~ relation_of2_as_subset(X2,relation_dom(X2),X1) ),
inference(er,[status(thm)],[940,theory(equality)]) ).
cnf(1204,negated_conjecture,
subset(relation_dom(esk5_0),esk2_0),
inference(spm,[status(thm)],[706,72,theory(equality)]) ).
cnf(1230,negated_conjecture,
( empty(relation_dom(esk5_0))
| ~ empty(esk2_0) ),
inference(spm,[status(thm)],[337,1204,theory(equality)]) ).
cnf(1243,negated_conjecture,
( empty_set = relation_dom(esk5_0)
| ~ empty(esk2_0) ),
inference(spm,[status(thm)],[205,1230,theory(equality)]) ).
cnf(1923,plain,
( quasi_total(X1,X2,X3)
| relation_dom(X1) != X2
| empty_set != X2
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(csr,[status(thm)],[313,161]) ).
cnf(1935,negated_conjecture,
( quasi_total(esk5_0,X1,X2)
| empty_set != X1
| ~ relation_of2_as_subset(esk5_0,X1,X2)
| ~ empty(esk2_0) ),
inference(spm,[status(thm)],[1923,1243,theory(equality)]) ).
cnf(1940,negated_conjecture,
( empty_set != esk2_0
| ~ empty(esk2_0)
| ~ relation_of2_as_subset(esk5_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[380,1935,theory(equality)]) ).
cnf(1942,negated_conjecture,
( empty_set != esk2_0
| ~ empty(esk2_0)
| $false ),
inference(rw,[status(thm)],[1940,373,theory(equality)]) ).
cnf(1943,negated_conjecture,
( empty_set != esk2_0
| ~ empty(esk2_0) ),
inference(cn,[status(thm)],[1942,theory(equality)]) ).
cnf(1991,negated_conjecture,
~ empty(esk2_0),
inference(csr,[status(thm)],[1943,205]) ).
cnf(3278,negated_conjecture,
( esk2_0 = relation_dom(esk5_0)
| empty_set = esk3_0
| ~ relation_of2_as_subset(esk5_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[863,73,theory(equality)]) ).
cnf(3288,negated_conjecture,
( esk2_0 = relation_dom(esk5_0)
| empty_set = esk3_0
| $false ),
inference(rw,[status(thm)],[3278,72,theory(equality)]) ).
cnf(3289,negated_conjecture,
( esk2_0 = relation_dom(esk5_0)
| empty_set = esk3_0 ),
inference(cn,[status(thm)],[3288,theory(equality)]) ).
cnf(3328,negated_conjecture,
( empty_set = X1
| quasi_total(esk5_0,esk2_0,X1)
| esk3_0 = empty_set
| ~ relation_of2_as_subset(esk5_0,esk2_0,X1) ),
inference(spm,[status(thm)],[941,3289,theory(equality)]) ).
cnf(3383,negated_conjecture,
( esk3_0 = empty_set
| empty_set = esk4_0
| ~ relation_of2_as_subset(esk5_0,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[380,3328,theory(equality)]) ).
cnf(3386,negated_conjecture,
( esk3_0 = empty_set
| empty_set = esk4_0
| $false ),
inference(rw,[status(thm)],[3383,373,theory(equality)]) ).
cnf(3387,negated_conjecture,
( esk3_0 = empty_set
| empty_set = esk4_0 ),
inference(cn,[status(thm)],[3386,theory(equality)]) ).
cnf(3388,negated_conjecture,
( subset(esk3_0,empty_set)
| esk3_0 = empty_set ),
inference(spm,[status(thm)],[71,3387,theory(equality)]) ).
cnf(3400,negated_conjecture,
esk3_0 = empty_set,
inference(csr,[status(thm)],[3388,121]) ).
cnf(3420,negated_conjecture,
( esk2_0 = empty_set
| $false ),
inference(rw,[status(thm)],[70,3400,theory(equality)]) ).
cnf(3421,negated_conjecture,
esk2_0 = empty_set,
inference(cn,[status(thm)],[3420,theory(equality)]) ).
cnf(3431,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1991,3421,theory(equality)]),144,theory(equality)]) ).
cnf(3432,negated_conjecture,
$false,
inference(cn,[status(thm)],[3431,theory(equality)]) ).
cnf(3433,negated_conjecture,
$false,
3432,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU291+1.p
% --creating new selector for []
% -running prover on /tmp/tmpsdopvn/sel_SEU291+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU291+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU291+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU291+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
%
%------------------------------------------------------------------------------