TSTP Solution File: SEU363+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU363+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 07:50:57 EST 2010
% Result : Theorem 2.93s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 94 ( 18 unt; 0 def)
% Number of atoms : 404 ( 28 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 509 ( 199 ~; 211 |; 68 &)
% ( 4 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 178 ( 4 sgn 106 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] :
( relation(X1)
=> relation_restriction_as_relation_of(X1,X2) = relation_restriction(X1,X2) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',redefinition_k1_toler_1) ).
fof(5,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( subrelstr(X2,X1)
=> rel_str(X2) ) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',dt_m1_yellow_0) ).
fof(6,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',cc1_relset_1) ).
fof(7,axiom,
! [X1] :
( rel_str(X1)
=> relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',dt_u1_orders_2) ).
fof(13,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',t1_subset) ).
fof(15,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_restriction(X3,X2))
<=> ( in(X1,X3)
& in(X1,cartesian_product2(X2,X2)) ) ) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',t16_wellord1) ).
fof(18,conjecture,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X5 = X3
& X6 = X4
& related(X1,X3,X4)
& in(X5,the_carrier(X2))
& in(X6,the_carrier(X2)) )
=> related(X2,X5,X6) ) ) ) ) ) ) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',t61_yellow_0) ).
fof(19,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( related(X1,X2,X3)
<=> in(ordered_pair(X2,X3),the_InternalRel(X1)) ) ) ) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',d9_orders_2) ).
fof(25,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( subrelstr(X2,X1)
=> ( full_subrelstr(X2,X1)
<=> the_InternalRel(X2) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X2)) ) ) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',d14_yellow_0) ).
fof(31,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',dt_m2_relset_1) ).
fof(36,axiom,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/tmp/tmp2fWqay/sel_SEU363+1.p_1',t106_zfmisc_1) ).
fof(48,negated_conjecture,
~ ! [X1] :
( rel_str(X1)
=> ! [X2] :
( ( full_subrelstr(X2,X1)
& subrelstr(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X5 = X3
& X6 = X4
& related(X1,X3,X4)
& in(X5,the_carrier(X2))
& in(X6,the_carrier(X2)) )
=> related(X2,X5,X6) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(58,plain,
! [X1,X2] :
( ~ relation(X1)
| relation_restriction_as_relation_of(X1,X2) = relation_restriction(X1,X2) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(59,plain,
! [X3,X4] :
( ~ relation(X3)
| relation_restriction_as_relation_of(X3,X4) = relation_restriction(X3,X4) ),
inference(variable_rename,[status(thm)],[58]) ).
cnf(60,plain,
( relation_restriction_as_relation_of(X1,X2) = relation_restriction(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(68,plain,
! [X1] :
( ~ rel_str(X1)
| ! [X2] :
( ~ subrelstr(X2,X1)
| rel_str(X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(69,plain,
! [X3] :
( ~ rel_str(X3)
| ! [X4] :
( ~ subrelstr(X4,X3)
| rel_str(X4) ) ),
inference(variable_rename,[status(thm)],[68]) ).
fof(70,plain,
! [X3,X4] :
( ~ subrelstr(X4,X3)
| rel_str(X4)
| ~ rel_str(X3) ),
inference(shift_quantors,[status(thm)],[69]) ).
cnf(71,plain,
( rel_str(X2)
| ~ rel_str(X1)
| ~ subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[70]) ).
fof(72,plain,
! [X1,X2,X3] :
( ~ element(X3,powerset(cartesian_product2(X1,X2)))
| relation(X3) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(73,plain,
! [X4,X5,X6] :
( ~ element(X6,powerset(cartesian_product2(X4,X5)))
| relation(X6) ),
inference(variable_rename,[status(thm)],[72]) ).
cnf(74,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[73]) ).
fof(75,plain,
! [X1] :
( ~ rel_str(X1)
| relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(76,plain,
! [X2] :
( ~ rel_str(X2)
| relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[75]) ).
cnf(77,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(92,plain,
! [X1,X2] :
( ~ in(X1,X2)
| element(X1,X2) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(93,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[92]) ).
cnf(94,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[93]) ).
fof(97,plain,
! [X1,X2,X3] :
( ~ relation(X3)
| ( ( ~ in(X1,relation_restriction(X3,X2))
| ( in(X1,X3)
& in(X1,cartesian_product2(X2,X2)) ) )
& ( ~ in(X1,X3)
| ~ in(X1,cartesian_product2(X2,X2))
| in(X1,relation_restriction(X3,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(98,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ( ( ~ in(X4,relation_restriction(X6,X5))
| ( in(X4,X6)
& in(X4,cartesian_product2(X5,X5)) ) )
& ( ~ in(X4,X6)
| ~ in(X4,cartesian_product2(X5,X5))
| in(X4,relation_restriction(X6,X5)) ) ) ),
inference(variable_rename,[status(thm)],[97]) ).
fof(99,plain,
! [X4,X5,X6] :
( ( in(X4,X6)
| ~ in(X4,relation_restriction(X6,X5))
| ~ relation(X6) )
& ( in(X4,cartesian_product2(X5,X5))
| ~ in(X4,relation_restriction(X6,X5))
| ~ relation(X6) )
& ( ~ in(X4,X6)
| ~ in(X4,cartesian_product2(X5,X5))
| in(X4,relation_restriction(X6,X5))
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[98]) ).
cnf(100,plain,
( in(X2,relation_restriction(X1,X3))
| ~ relation(X1)
| ~ in(X2,cartesian_product2(X3,X3))
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[99]) ).
fof(109,negated_conjecture,
? [X1] :
( rel_str(X1)
& ? [X2] :
( full_subrelstr(X2,X1)
& subrelstr(X2,X1)
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( element(X5,the_carrier(X2))
& ? [X6] :
( element(X6,the_carrier(X2))
& X5 = X3
& X6 = X4
& related(X1,X3,X4)
& in(X5,the_carrier(X2))
& in(X6,the_carrier(X2))
& ~ related(X2,X5,X6) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(110,negated_conjecture,
? [X7] :
( rel_str(X7)
& ? [X8] :
( full_subrelstr(X8,X7)
& subrelstr(X8,X7)
& ? [X9] :
( element(X9,the_carrier(X7))
& ? [X10] :
( element(X10,the_carrier(X7))
& ? [X11] :
( element(X11,the_carrier(X8))
& ? [X12] :
( element(X12,the_carrier(X8))
& X11 = X9
& X12 = X10
& related(X7,X9,X10)
& in(X11,the_carrier(X8))
& in(X12,the_carrier(X8))
& ~ related(X8,X11,X12) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[109]) ).
fof(111,negated_conjecture,
( rel_str(esk3_0)
& full_subrelstr(esk4_0,esk3_0)
& subrelstr(esk4_0,esk3_0)
& element(esk5_0,the_carrier(esk3_0))
& element(esk6_0,the_carrier(esk3_0))
& element(esk7_0,the_carrier(esk4_0))
& element(esk8_0,the_carrier(esk4_0))
& esk7_0 = esk5_0
& esk8_0 = esk6_0
& related(esk3_0,esk5_0,esk6_0)
& in(esk7_0,the_carrier(esk4_0))
& in(esk8_0,the_carrier(esk4_0))
& ~ related(esk4_0,esk7_0,esk8_0) ),
inference(skolemize,[status(esa)],[110]) ).
cnf(112,negated_conjecture,
~ related(esk4_0,esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(113,negated_conjecture,
in(esk8_0,the_carrier(esk4_0)),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(114,negated_conjecture,
in(esk7_0,the_carrier(esk4_0)),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(115,negated_conjecture,
related(esk3_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(116,negated_conjecture,
esk8_0 = esk6_0,
inference(split_conjunct,[status(thm)],[111]) ).
cnf(117,negated_conjecture,
esk7_0 = esk5_0,
inference(split_conjunct,[status(thm)],[111]) ).
cnf(120,negated_conjecture,
element(esk6_0,the_carrier(esk3_0)),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(121,negated_conjecture,
element(esk5_0,the_carrier(esk3_0)),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(122,negated_conjecture,
subrelstr(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(123,negated_conjecture,
full_subrelstr(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(124,negated_conjecture,
rel_str(esk3_0),
inference(split_conjunct,[status(thm)],[111]) ).
fof(125,plain,
! [X1] :
( ~ rel_str(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X1))
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| ( ( ~ related(X1,X2,X3)
| in(ordered_pair(X2,X3),the_InternalRel(X1)) )
& ( ~ in(ordered_pair(X2,X3),the_InternalRel(X1))
| related(X1,X2,X3) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(126,plain,
! [X4] :
( ~ rel_str(X4)
| ! [X5] :
( ~ element(X5,the_carrier(X4))
| ! [X6] :
( ~ element(X6,the_carrier(X4))
| ( ( ~ related(X4,X5,X6)
| in(ordered_pair(X5,X6),the_InternalRel(X4)) )
& ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
| related(X4,X5,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[125]) ).
fof(127,plain,
! [X4,X5,X6] :
( ~ element(X6,the_carrier(X4))
| ( ( ~ related(X4,X5,X6)
| in(ordered_pair(X5,X6),the_InternalRel(X4)) )
& ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
| related(X4,X5,X6) ) )
| ~ element(X5,the_carrier(X4))
| ~ rel_str(X4) ),
inference(shift_quantors,[status(thm)],[126]) ).
fof(128,plain,
! [X4,X5,X6] :
( ( ~ related(X4,X5,X6)
| in(ordered_pair(X5,X6),the_InternalRel(X4))
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| ~ rel_str(X4) )
& ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
| related(X4,X5,X6)
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| ~ rel_str(X4) ) ),
inference(distribute,[status(thm)],[127]) ).
cnf(129,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(130,plain,
( in(ordered_pair(X2,X3),the_InternalRel(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[128]) ).
fof(145,plain,
! [X1] :
( ~ rel_str(X1)
| ! [X2] :
( ~ subrelstr(X2,X1)
| ( ( ~ full_subrelstr(X2,X1)
| the_InternalRel(X2) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X2)) )
& ( the_InternalRel(X2) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X2))
| full_subrelstr(X2,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(146,plain,
! [X3] :
( ~ rel_str(X3)
| ! [X4] :
( ~ subrelstr(X4,X3)
| ( ( ~ full_subrelstr(X4,X3)
| the_InternalRel(X4) = relation_restriction_as_relation_of(the_InternalRel(X3),the_carrier(X4)) )
& ( the_InternalRel(X4) != relation_restriction_as_relation_of(the_InternalRel(X3),the_carrier(X4))
| full_subrelstr(X4,X3) ) ) ) ),
inference(variable_rename,[status(thm)],[145]) ).
fof(147,plain,
! [X3,X4] :
( ~ subrelstr(X4,X3)
| ( ( ~ full_subrelstr(X4,X3)
| the_InternalRel(X4) = relation_restriction_as_relation_of(the_InternalRel(X3),the_carrier(X4)) )
& ( the_InternalRel(X4) != relation_restriction_as_relation_of(the_InternalRel(X3),the_carrier(X4))
| full_subrelstr(X4,X3) ) )
| ~ rel_str(X3) ),
inference(shift_quantors,[status(thm)],[146]) ).
fof(148,plain,
! [X3,X4] :
( ( ~ full_subrelstr(X4,X3)
| the_InternalRel(X4) = relation_restriction_as_relation_of(the_InternalRel(X3),the_carrier(X4))
| ~ subrelstr(X4,X3)
| ~ rel_str(X3) )
& ( the_InternalRel(X4) != relation_restriction_as_relation_of(the_InternalRel(X3),the_carrier(X4))
| full_subrelstr(X4,X3)
| ~ subrelstr(X4,X3)
| ~ rel_str(X3) ) ),
inference(distribute,[status(thm)],[147]) ).
cnf(150,plain,
( the_InternalRel(X2) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X2))
| ~ rel_str(X1)
| ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[148]) ).
fof(163,plain,
! [X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X1,X2)
| element(X3,powerset(cartesian_product2(X1,X2))) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(164,plain,
! [X4,X5,X6] :
( ~ relation_of2_as_subset(X6,X4,X5)
| element(X6,powerset(cartesian_product2(X4,X5))) ),
inference(variable_rename,[status(thm)],[163]) ).
cnf(165,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[164]) ).
fof(174,plain,
! [X1,X2,X3,X4] :
( ( ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
| ( in(X1,X3)
& in(X2,X4) ) )
& ( ~ in(X1,X3)
| ~ in(X2,X4)
| in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(175,plain,
! [X5,X6,X7,X8] :
( ( ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8))
| ( in(X5,X7)
& in(X6,X8) ) )
& ( ~ in(X5,X7)
| ~ in(X6,X8)
| in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) ) ),
inference(variable_rename,[status(thm)],[174]) ).
fof(176,plain,
! [X5,X6,X7,X8] :
( ( in(X5,X7)
| ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) )
& ( in(X6,X8)
| ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) )
& ( ~ in(X5,X7)
| ~ in(X6,X8)
| in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) ) ),
inference(distribute,[status(thm)],[175]) ).
cnf(177,plain,
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[176]) ).
cnf(215,negated_conjecture,
element(esk7_0,the_carrier(esk3_0)),
inference(rw,[status(thm)],[121,117,theory(equality)]) ).
cnf(216,negated_conjecture,
element(esk8_0,the_carrier(esk3_0)),
inference(rw,[status(thm)],[120,116,theory(equality)]) ).
cnf(217,negated_conjecture,
related(esk3_0,esk7_0,esk8_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[115,117,theory(equality)]),116,theory(equality)]) ).
cnf(218,negated_conjecture,
( rel_str(esk4_0)
| ~ rel_str(esk3_0) ),
inference(spm,[status(thm)],[71,122,theory(equality)]) ).
cnf(219,negated_conjecture,
( rel_str(esk4_0)
| $false ),
inference(rw,[status(thm)],[218,124,theory(equality)]) ).
cnf(220,negated_conjecture,
rel_str(esk4_0),
inference(cn,[status(thm)],[219,theory(equality)]) ).
cnf(259,plain,
( the_InternalRel(X2) = relation_restriction(the_InternalRel(X1),the_carrier(X2))
| ~ relation(the_InternalRel(X1))
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1)
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[60,150,theory(equality)]) ).
cnf(265,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[74,165,theory(equality)]) ).
cnf(273,plain,
( in(ordered_pair(X1,X2),relation_restriction(X3,X4))
| ~ in(ordered_pair(X1,X2),X3)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[100,177,theory(equality)]) ).
cnf(380,plain,
( relation(the_InternalRel(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[265,77,theory(equality)]) ).
cnf(454,plain,
( relation_restriction(the_InternalRel(X1),the_carrier(X2)) = the_InternalRel(X2)
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[259,380]) ).
cnf(601,plain,
( in(ordered_pair(X1,X2),the_InternalRel(X4))
| ~ in(ordered_pair(X1,X2),the_InternalRel(X3))
| ~ in(X2,the_carrier(X4))
| ~ in(X1,the_carrier(X4))
| ~ relation(the_InternalRel(X3))
| ~ full_subrelstr(X4,X3)
| ~ subrelstr(X4,X3)
| ~ rel_str(X3) ),
inference(spm,[status(thm)],[273,454,theory(equality)]) ).
cnf(3342,plain,
( in(ordered_pair(X1,X2),the_InternalRel(X4))
| ~ full_subrelstr(X4,X3)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X3))
| ~ in(X2,the_carrier(X4))
| ~ in(X1,the_carrier(X4))
| ~ subrelstr(X4,X3)
| ~ rel_str(X3) ),
inference(csr,[status(thm)],[601,380]) ).
cnf(3343,plain,
( in(ordered_pair(X1,X2),the_InternalRel(X3))
| ~ full_subrelstr(X3,X4)
| ~ in(X2,the_carrier(X3))
| ~ in(X1,the_carrier(X3))
| ~ subrelstr(X3,X4)
| ~ rel_str(X4)
| ~ related(X4,X1,X2)
| ~ element(X2,the_carrier(X4))
| ~ element(X1,the_carrier(X4)) ),
inference(spm,[status(thm)],[3342,130,theory(equality)]) ).
cnf(55237,negated_conjecture,
( in(ordered_pair(esk7_0,esk8_0),the_InternalRel(X1))
| ~ full_subrelstr(X1,esk3_0)
| ~ in(esk8_0,the_carrier(X1))
| ~ in(esk7_0,the_carrier(X1))
| ~ subrelstr(X1,esk3_0)
| ~ rel_str(esk3_0)
| ~ element(esk8_0,the_carrier(esk3_0))
| ~ element(esk7_0,the_carrier(esk3_0)) ),
inference(spm,[status(thm)],[3343,217,theory(equality)]) ).
cnf(55238,negated_conjecture,
( in(ordered_pair(esk7_0,esk8_0),the_InternalRel(X1))
| ~ full_subrelstr(X1,esk3_0)
| ~ in(esk8_0,the_carrier(X1))
| ~ in(esk7_0,the_carrier(X1))
| ~ subrelstr(X1,esk3_0)
| $false
| ~ element(esk8_0,the_carrier(esk3_0))
| ~ element(esk7_0,the_carrier(esk3_0)) ),
inference(rw,[status(thm)],[55237,124,theory(equality)]) ).
cnf(55239,negated_conjecture,
( in(ordered_pair(esk7_0,esk8_0),the_InternalRel(X1))
| ~ full_subrelstr(X1,esk3_0)
| ~ in(esk8_0,the_carrier(X1))
| ~ in(esk7_0,the_carrier(X1))
| ~ subrelstr(X1,esk3_0)
| $false
| $false
| ~ element(esk7_0,the_carrier(esk3_0)) ),
inference(rw,[status(thm)],[55238,216,theory(equality)]) ).
cnf(55240,negated_conjecture,
( in(ordered_pair(esk7_0,esk8_0),the_InternalRel(X1))
| ~ full_subrelstr(X1,esk3_0)
| ~ in(esk8_0,the_carrier(X1))
| ~ in(esk7_0,the_carrier(X1))
| ~ subrelstr(X1,esk3_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[55239,215,theory(equality)]) ).
cnf(55241,negated_conjecture,
( in(ordered_pair(esk7_0,esk8_0),the_InternalRel(X1))
| ~ full_subrelstr(X1,esk3_0)
| ~ in(esk8_0,the_carrier(X1))
| ~ in(esk7_0,the_carrier(X1))
| ~ subrelstr(X1,esk3_0) ),
inference(cn,[status(thm)],[55240,theory(equality)]) ).
cnf(55557,negated_conjecture,
( related(X1,esk7_0,esk8_0)
| ~ rel_str(X1)
| ~ element(esk8_0,the_carrier(X1))
| ~ element(esk7_0,the_carrier(X1))
| ~ full_subrelstr(X1,esk3_0)
| ~ in(esk8_0,the_carrier(X1))
| ~ in(esk7_0,the_carrier(X1))
| ~ subrelstr(X1,esk3_0) ),
inference(spm,[status(thm)],[129,55241,theory(equality)]) ).
cnf(55625,negated_conjecture,
( related(X1,esk7_0,esk8_0)
| ~ full_subrelstr(X1,esk3_0)
| ~ in(esk8_0,the_carrier(X1))
| ~ in(esk7_0,the_carrier(X1))
| ~ subrelstr(X1,esk3_0)
| ~ rel_str(X1)
| ~ element(esk8_0,the_carrier(X1)) ),
inference(csr,[status(thm)],[55557,94]) ).
cnf(55626,negated_conjecture,
( related(X1,esk7_0,esk8_0)
| ~ full_subrelstr(X1,esk3_0)
| ~ in(esk8_0,the_carrier(X1))
| ~ in(esk7_0,the_carrier(X1))
| ~ subrelstr(X1,esk3_0)
| ~ rel_str(X1) ),
inference(csr,[status(thm)],[55625,94]) ).
cnf(55627,negated_conjecture,
( related(esk4_0,esk7_0,esk8_0)
| ~ in(esk8_0,the_carrier(esk4_0))
| ~ in(esk7_0,the_carrier(esk4_0))
| ~ subrelstr(esk4_0,esk3_0)
| ~ rel_str(esk4_0) ),
inference(spm,[status(thm)],[55626,123,theory(equality)]) ).
cnf(55629,negated_conjecture,
( related(esk4_0,esk7_0,esk8_0)
| $false
| ~ in(esk7_0,the_carrier(esk4_0))
| ~ subrelstr(esk4_0,esk3_0)
| ~ rel_str(esk4_0) ),
inference(rw,[status(thm)],[55627,113,theory(equality)]) ).
cnf(55630,negated_conjecture,
( related(esk4_0,esk7_0,esk8_0)
| $false
| $false
| ~ subrelstr(esk4_0,esk3_0)
| ~ rel_str(esk4_0) ),
inference(rw,[status(thm)],[55629,114,theory(equality)]) ).
cnf(55631,negated_conjecture,
( related(esk4_0,esk7_0,esk8_0)
| $false
| $false
| $false
| ~ rel_str(esk4_0) ),
inference(rw,[status(thm)],[55630,122,theory(equality)]) ).
cnf(55632,negated_conjecture,
( related(esk4_0,esk7_0,esk8_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[55631,220,theory(equality)]) ).
cnf(55633,negated_conjecture,
related(esk4_0,esk7_0,esk8_0),
inference(cn,[status(thm)],[55632,theory(equality)]) ).
cnf(55634,negated_conjecture,
$false,
inference(sr,[status(thm)],[55633,112,theory(equality)]) ).
cnf(55635,negated_conjecture,
$false,
55634,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU363+1.p
% --creating new selector for []
% -running prover on /tmp/tmp2fWqay/sel_SEU363+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU363+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU363+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU363+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
%
%------------------------------------------------------------------------------