TSTP Solution File: SEU375+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU375+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 07:57:08 EST 2010
% Result : Theorem 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 111 ( 28 unt; 0 def)
% Number of atoms : 478 ( 29 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 619 ( 252 ~; 251 |; 72 &)
% ( 1 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 176 ( 1 sgn 105 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> net_str(X3,X1) ) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',dt_m1_yellow_6) ).
fof(3,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',t7_boole) ).
fof(6,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> ( full_subnetstr(X3,X1,X2)
<=> ( full_subrelstr(X3,X2)
& subrelstr(X3,X2) ) ) ) ) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',d9_yellow_6) ).
fof(10,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',t1_subset) ).
fof(11,axiom,
! [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/tmpVW8ss6/sel_SEU375+1.p_1',t61_yellow_0) ).
fof(14,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',fc1_struct_0) ).
fof(24,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',dt_l1_orders_2) ).
fof(25,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',t2_subset) ).
fof(36,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> rel_str(X2) ) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',dt_l1_waybel_0) ).
fof(40,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( ( ~ empty_carrier(X3)
& full_subnetstr(X3,X1,X2)
& subnetstr(X3,X1,X2) )
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X3))
=> ! [X7] :
( element(X7,the_carrier(X3))
=> ( ( X4 = X6
& X5 = X7
& related(X2,X4,X5) )
=> related(X3,X6,X7) ) ) ) ) ) ) ) ),
file('/tmp/tmpVW8ss6/sel_SEU375+1.p_1',t21_yellow_6) ).
fof(41,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( ( ~ empty_carrier(X3)
& full_subnetstr(X3,X1,X2)
& subnetstr(X3,X1,X2) )
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X3))
=> ! [X7] :
( element(X7,the_carrier(X3))
=> ( ( X4 = X6
& X5 = X7
& related(X2,X4,X5) )
=> related(X3,X6,X7) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[40]) ).
fof(42,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(47,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( ( ~ empty_carrier(X3)
& full_subnetstr(X3,X1,X2)
& subnetstr(X3,X1,X2) )
=> ! [X4] :
( element(X4,the_carrier(X2))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X3))
=> ! [X7] :
( element(X7,the_carrier(X3))
=> ( ( X4 = X6
& X5 = X7
& related(X2,X4,X5) )
=> related(X3,X6,X7) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(49,plain,
! [X1,X2] :
( ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ! [X3] :
( ~ subnetstr(X3,X1,X2)
| net_str(X3,X1) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(50,plain,
! [X4,X5] :
( ~ one_sorted_str(X4)
| ~ net_str(X5,X4)
| ! [X6] :
( ~ subnetstr(X6,X4,X5)
| net_str(X6,X4) ) ),
inference(variable_rename,[status(thm)],[49]) ).
fof(51,plain,
! [X4,X5,X6] :
( ~ subnetstr(X6,X4,X5)
| net_str(X6,X4)
| ~ one_sorted_str(X4)
| ~ net_str(X5,X4) ),
inference(shift_quantors,[status(thm)],[50]) ).
cnf(52,plain,
( net_str(X3,X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| ~ subnetstr(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
fof(53,plain,
! [X1,X2] :
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(54,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[53]) ).
cnf(55,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(64,plain,
! [X1] :
( ~ one_sorted_str(X1)
| ! [X2] :
( ~ net_str(X2,X1)
| ! [X3] :
( ~ subnetstr(X3,X1,X2)
| ( ( ~ full_subnetstr(X3,X1,X2)
| ( full_subrelstr(X3,X2)
& subrelstr(X3,X2) ) )
& ( ~ full_subrelstr(X3,X2)
| ~ subrelstr(X3,X2)
| full_subnetstr(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(65,plain,
! [X4] :
( ~ one_sorted_str(X4)
| ! [X5] :
( ~ net_str(X5,X4)
| ! [X6] :
( ~ subnetstr(X6,X4,X5)
| ( ( ~ full_subnetstr(X6,X4,X5)
| ( full_subrelstr(X6,X5)
& subrelstr(X6,X5) ) )
& ( ~ full_subrelstr(X6,X5)
| ~ subrelstr(X6,X5)
| full_subnetstr(X6,X4,X5) ) ) ) ) ),
inference(variable_rename,[status(thm)],[64]) ).
fof(66,plain,
! [X4,X5,X6] :
( ~ subnetstr(X6,X4,X5)
| ( ( ~ full_subnetstr(X6,X4,X5)
| ( full_subrelstr(X6,X5)
& subrelstr(X6,X5) ) )
& ( ~ full_subrelstr(X6,X5)
| ~ subrelstr(X6,X5)
| full_subnetstr(X6,X4,X5) ) )
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) ),
inference(shift_quantors,[status(thm)],[65]) ).
fof(67,plain,
! [X4,X5,X6] :
( ( full_subrelstr(X6,X5)
| ~ full_subnetstr(X6,X4,X5)
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) )
& ( subrelstr(X6,X5)
| ~ full_subnetstr(X6,X4,X5)
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) )
& ( ~ full_subrelstr(X6,X5)
| ~ subrelstr(X6,X5)
| full_subnetstr(X6,X4,X5)
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X5,X4)
| ~ one_sorted_str(X4) ) ),
inference(distribute,[status(thm)],[66]) ).
cnf(69,plain,
( subrelstr(X3,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X3,X1,X2)
| ~ full_subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(70,plain,
( full_subrelstr(X3,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ subnetstr(X3,X1,X2)
| ~ full_subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(80,plain,
! [X1,X2] :
( ~ in(X1,X2)
| element(X1,X2) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(81,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[80]) ).
cnf(82,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[81]) ).
fof(83,plain,
! [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)],[11]) ).
fof(84,plain,
! [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)],[83]) ).
fof(85,plain,
! [X7,X8,X9,X10,X11,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)
| ~ element(X11,the_carrier(X8))
| ~ element(X10,the_carrier(X7))
| ~ element(X9,the_carrier(X7))
| ~ full_subrelstr(X8,X7)
| ~ subrelstr(X8,X7)
| ~ rel_str(X7) ),
inference(shift_quantors,[status(thm)],[84]) ).
cnf(86,plain,
( related(X2,X5,X6)
| ~ rel_str(X1)
| ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X2))
| ~ in(X6,the_carrier(X2))
| ~ in(X5,the_carrier(X2))
| ~ related(X1,X3,X4)
| X6 != X4
| X5 != X3
| ~ element(X6,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(96,plain,
! [X1] :
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(97,plain,
! [X2] :
( empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ empty(the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[96]) ).
cnf(98,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(126,plain,
! [X1] :
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(127,plain,
! [X2] :
( ~ rel_str(X2)
| one_sorted_str(X2) ),
inference(variable_rename,[status(thm)],[126]) ).
cnf(128,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[127]) ).
fof(129,plain,
! [X1,X2] :
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(130,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[129]) ).
cnf(131,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[130]) ).
fof(166,plain,
! [X1] :
( ~ one_sorted_str(X1)
| ! [X2] :
( ~ net_str(X2,X1)
| rel_str(X2) ) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(167,plain,
! [X3] :
( ~ one_sorted_str(X3)
| ! [X4] :
( ~ net_str(X4,X3)
| rel_str(X4) ) ),
inference(variable_rename,[status(thm)],[166]) ).
fof(168,plain,
! [X3,X4] :
( ~ net_str(X4,X3)
| rel_str(X4)
| ~ one_sorted_str(X3) ),
inference(shift_quantors,[status(thm)],[167]) ).
cnf(169,plain,
( rel_str(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[168]) ).
fof(183,negated_conjecture,
? [X1] :
( one_sorted_str(X1)
& ? [X2] :
( ~ empty_carrier(X2)
& net_str(X2,X1)
& ? [X3] :
( ~ empty_carrier(X3)
& full_subnetstr(X3,X1,X2)
& subnetstr(X3,X1,X2)
& ? [X4] :
( element(X4,the_carrier(X2))
& ? [X5] :
( element(X5,the_carrier(X2))
& ? [X6] :
( element(X6,the_carrier(X3))
& ? [X7] :
( element(X7,the_carrier(X3))
& X4 = X6
& X5 = X7
& related(X2,X4,X5)
& ~ related(X3,X6,X7) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(184,negated_conjecture,
? [X8] :
( one_sorted_str(X8)
& ? [X9] :
( ~ empty_carrier(X9)
& net_str(X9,X8)
& ? [X10] :
( ~ empty_carrier(X10)
& full_subnetstr(X10,X8,X9)
& subnetstr(X10,X8,X9)
& ? [X11] :
( element(X11,the_carrier(X9))
& ? [X12] :
( element(X12,the_carrier(X9))
& ? [X13] :
( element(X13,the_carrier(X10))
& ? [X14] :
( element(X14,the_carrier(X10))
& X11 = X13
& X12 = X14
& related(X9,X11,X12)
& ~ related(X10,X13,X14) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[183]) ).
fof(185,negated_conjecture,
( one_sorted_str(esk16_0)
& ~ empty_carrier(esk17_0)
& net_str(esk17_0,esk16_0)
& ~ empty_carrier(esk18_0)
& full_subnetstr(esk18_0,esk16_0,esk17_0)
& subnetstr(esk18_0,esk16_0,esk17_0)
& element(esk19_0,the_carrier(esk17_0))
& element(esk20_0,the_carrier(esk17_0))
& element(esk21_0,the_carrier(esk18_0))
& element(esk22_0,the_carrier(esk18_0))
& esk19_0 = esk21_0
& esk20_0 = esk22_0
& related(esk17_0,esk19_0,esk20_0)
& ~ related(esk18_0,esk21_0,esk22_0) ),
inference(skolemize,[status(esa)],[184]) ).
cnf(186,negated_conjecture,
~ related(esk18_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(187,negated_conjecture,
related(esk17_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(188,negated_conjecture,
esk20_0 = esk22_0,
inference(split_conjunct,[status(thm)],[185]) ).
cnf(189,negated_conjecture,
esk19_0 = esk21_0,
inference(split_conjunct,[status(thm)],[185]) ).
cnf(190,negated_conjecture,
element(esk22_0,the_carrier(esk18_0)),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(191,negated_conjecture,
element(esk21_0,the_carrier(esk18_0)),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(192,negated_conjecture,
element(esk20_0,the_carrier(esk17_0)),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(193,negated_conjecture,
element(esk19_0,the_carrier(esk17_0)),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(194,negated_conjecture,
subnetstr(esk18_0,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(195,negated_conjecture,
full_subnetstr(esk18_0,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(196,negated_conjecture,
~ empty_carrier(esk18_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(197,negated_conjecture,
net_str(esk17_0,esk16_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(199,negated_conjecture,
one_sorted_str(esk16_0),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(201,negated_conjecture,
element(esk22_0,the_carrier(esk17_0)),
inference(rw,[status(thm)],[192,188,theory(equality)]) ).
cnf(202,negated_conjecture,
element(esk19_0,the_carrier(esk18_0)),
inference(rw,[status(thm)],[191,189,theory(equality)]) ).
cnf(203,negated_conjecture,
related(esk17_0,esk19_0,esk22_0),
inference(rw,[status(thm)],[187,188,theory(equality)]) ).
cnf(204,negated_conjecture,
~ related(esk18_0,esk19_0,esk22_0),
inference(rw,[status(thm)],[186,189,theory(equality)]) ).
cnf(209,negated_conjecture,
( rel_str(esk17_0)
| ~ one_sorted_str(esk16_0) ),
inference(spm,[status(thm)],[169,197,theory(equality)]) ).
cnf(211,negated_conjecture,
( rel_str(esk17_0)
| $false ),
inference(rw,[status(thm)],[209,199,theory(equality)]) ).
cnf(212,negated_conjecture,
rel_str(esk17_0),
inference(cn,[status(thm)],[211,theory(equality)]) ).
cnf(235,negated_conjecture,
( net_str(esk18_0,esk16_0)
| ~ net_str(esk17_0,esk16_0)
| ~ one_sorted_str(esk16_0) ),
inference(spm,[status(thm)],[52,194,theory(equality)]) ).
cnf(236,negated_conjecture,
( net_str(esk18_0,esk16_0)
| $false
| ~ one_sorted_str(esk16_0) ),
inference(rw,[status(thm)],[235,197,theory(equality)]) ).
cnf(237,negated_conjecture,
( net_str(esk18_0,esk16_0)
| $false
| $false ),
inference(rw,[status(thm)],[236,199,theory(equality)]) ).
cnf(238,negated_conjecture,
net_str(esk18_0,esk16_0),
inference(cn,[status(thm)],[237,theory(equality)]) ).
cnf(241,negated_conjecture,
( empty(the_carrier(esk18_0))
| in(esk19_0,the_carrier(esk18_0)) ),
inference(spm,[status(thm)],[131,202,theory(equality)]) ).
cnf(242,negated_conjecture,
( empty(the_carrier(esk18_0))
| in(esk22_0,the_carrier(esk18_0)) ),
inference(spm,[status(thm)],[131,190,theory(equality)]) ).
cnf(251,negated_conjecture,
( subrelstr(esk18_0,esk17_0)
| ~ subnetstr(esk18_0,esk16_0,esk17_0)
| ~ net_str(esk17_0,esk16_0)
| ~ one_sorted_str(esk16_0) ),
inference(spm,[status(thm)],[69,195,theory(equality)]) ).
cnf(252,negated_conjecture,
( subrelstr(esk18_0,esk17_0)
| $false
| ~ net_str(esk17_0,esk16_0)
| ~ one_sorted_str(esk16_0) ),
inference(rw,[status(thm)],[251,194,theory(equality)]) ).
cnf(253,negated_conjecture,
( subrelstr(esk18_0,esk17_0)
| $false
| $false
| ~ one_sorted_str(esk16_0) ),
inference(rw,[status(thm)],[252,197,theory(equality)]) ).
cnf(254,negated_conjecture,
( subrelstr(esk18_0,esk17_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[253,199,theory(equality)]) ).
cnf(255,negated_conjecture,
subrelstr(esk18_0,esk17_0),
inference(cn,[status(thm)],[254,theory(equality)]) ).
cnf(256,negated_conjecture,
( full_subrelstr(esk18_0,esk17_0)
| ~ subnetstr(esk18_0,esk16_0,esk17_0)
| ~ net_str(esk17_0,esk16_0)
| ~ one_sorted_str(esk16_0) ),
inference(spm,[status(thm)],[70,195,theory(equality)]) ).
cnf(257,negated_conjecture,
( full_subrelstr(esk18_0,esk17_0)
| $false
| ~ net_str(esk17_0,esk16_0)
| ~ one_sorted_str(esk16_0) ),
inference(rw,[status(thm)],[256,194,theory(equality)]) ).
cnf(258,negated_conjecture,
( full_subrelstr(esk18_0,esk17_0)
| $false
| $false
| ~ one_sorted_str(esk16_0) ),
inference(rw,[status(thm)],[257,197,theory(equality)]) ).
cnf(259,negated_conjecture,
( full_subrelstr(esk18_0,esk17_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[258,199,theory(equality)]) ).
cnf(260,negated_conjecture,
full_subrelstr(esk18_0,esk17_0),
inference(cn,[status(thm)],[259,theory(equality)]) ).
cnf(266,plain,
( related(X2,X5,X6)
| X4 != X6
| X3 != X5
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ element(X6,the_carrier(X2))
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1)
| ~ rel_str(X1)
| ~ in(X6,the_carrier(X2))
| ~ in(X5,the_carrier(X2)) ),
inference(csr,[status(thm)],[86,82]) ).
cnf(267,plain,
( related(X2,X5,X6)
| X4 != X6
| X3 != X5
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ full_subrelstr(X2,X1)
| ~ subrelstr(X2,X1)
| ~ rel_str(X1)
| ~ in(X6,the_carrier(X2))
| ~ in(X5,the_carrier(X2)) ),
inference(csr,[status(thm)],[266,82]) ).
cnf(268,plain,
( related(X1,X2,X3)
| X4 != X2
| ~ related(X5,X4,X3)
| ~ element(X3,the_carrier(X5))
| ~ element(X4,the_carrier(X5))
| ~ full_subrelstr(X1,X5)
| ~ subrelstr(X1,X5)
| ~ rel_str(X5)
| ~ in(X3,the_carrier(X1))
| ~ in(X2,the_carrier(X1)) ),
inference(er,[status(thm)],[267,theory(equality)]) ).
cnf(269,plain,
( related(X1,X2,X3)
| ~ related(X4,X2,X3)
| ~ element(X3,the_carrier(X4))
| ~ element(X2,the_carrier(X4))
| ~ full_subrelstr(X1,X4)
| ~ subrelstr(X1,X4)
| ~ rel_str(X4)
| ~ in(X3,the_carrier(X1))
| ~ in(X2,the_carrier(X1)) ),
inference(er,[status(thm)],[268,theory(equality)]) ).
cnf(270,negated_conjecture,
( rel_str(esk18_0)
| ~ one_sorted_str(esk16_0) ),
inference(spm,[status(thm)],[169,238,theory(equality)]) ).
cnf(272,negated_conjecture,
( rel_str(esk18_0)
| $false ),
inference(rw,[status(thm)],[270,199,theory(equality)]) ).
cnf(273,negated_conjecture,
rel_str(esk18_0),
inference(cn,[status(thm)],[272,theory(equality)]) ).
cnf(286,negated_conjecture,
one_sorted_str(esk18_0),
inference(spm,[status(thm)],[128,273,theory(equality)]) ).
cnf(522,negated_conjecture,
( related(X1,X2,esk22_0)
| ~ related(esk17_0,X2,esk22_0)
| ~ element(X2,the_carrier(esk17_0))
| ~ full_subrelstr(X1,esk17_0)
| ~ subrelstr(X1,esk17_0)
| ~ rel_str(esk17_0)
| ~ in(esk22_0,the_carrier(X1))
| ~ in(X2,the_carrier(X1)) ),
inference(spm,[status(thm)],[269,201,theory(equality)]) ).
cnf(530,negated_conjecture,
( related(X1,X2,esk22_0)
| ~ related(esk17_0,X2,esk22_0)
| ~ element(X2,the_carrier(esk17_0))
| ~ full_subrelstr(X1,esk17_0)
| ~ subrelstr(X1,esk17_0)
| $false
| ~ in(esk22_0,the_carrier(X1))
| ~ in(X2,the_carrier(X1)) ),
inference(rw,[status(thm)],[522,212,theory(equality)]) ).
cnf(531,negated_conjecture,
( related(X1,X2,esk22_0)
| ~ related(esk17_0,X2,esk22_0)
| ~ element(X2,the_carrier(esk17_0))
| ~ full_subrelstr(X1,esk17_0)
| ~ subrelstr(X1,esk17_0)
| ~ in(esk22_0,the_carrier(X1))
| ~ in(X2,the_carrier(X1)) ),
inference(cn,[status(thm)],[530,theory(equality)]) ).
cnf(920,negated_conjecture,
( related(esk18_0,X1,esk22_0)
| ~ related(esk17_0,X1,esk22_0)
| ~ element(X1,the_carrier(esk17_0))
| ~ subrelstr(esk18_0,esk17_0)
| ~ in(esk22_0,the_carrier(esk18_0))
| ~ in(X1,the_carrier(esk18_0)) ),
inference(spm,[status(thm)],[531,260,theory(equality)]) ).
cnf(921,negated_conjecture,
( related(esk18_0,X1,esk22_0)
| ~ related(esk17_0,X1,esk22_0)
| ~ element(X1,the_carrier(esk17_0))
| $false
| ~ in(esk22_0,the_carrier(esk18_0))
| ~ in(X1,the_carrier(esk18_0)) ),
inference(rw,[status(thm)],[920,255,theory(equality)]) ).
cnf(922,negated_conjecture,
( related(esk18_0,X1,esk22_0)
| ~ related(esk17_0,X1,esk22_0)
| ~ element(X1,the_carrier(esk17_0))
| ~ in(esk22_0,the_carrier(esk18_0))
| ~ in(X1,the_carrier(esk18_0)) ),
inference(cn,[status(thm)],[921,theory(equality)]) ).
cnf(940,negated_conjecture,
( related(esk18_0,X1,esk22_0)
| empty(the_carrier(esk18_0))
| ~ related(esk17_0,X1,esk22_0)
| ~ element(X1,the_carrier(esk17_0))
| ~ in(X1,the_carrier(esk18_0)) ),
inference(spm,[status(thm)],[922,242,theory(equality)]) ).
cnf(941,negated_conjecture,
( related(esk18_0,X1,esk22_0)
| ~ related(esk17_0,X1,esk22_0)
| ~ element(X1,the_carrier(esk17_0))
| ~ in(X1,the_carrier(esk18_0)) ),
inference(csr,[status(thm)],[940,55]) ).
cnf(942,negated_conjecture,
( related(esk18_0,esk19_0,esk22_0)
| ~ related(esk17_0,esk19_0,esk22_0)
| ~ in(esk19_0,the_carrier(esk18_0)) ),
inference(spm,[status(thm)],[941,193,theory(equality)]) ).
cnf(947,negated_conjecture,
( related(esk18_0,esk19_0,esk22_0)
| $false
| ~ in(esk19_0,the_carrier(esk18_0)) ),
inference(rw,[status(thm)],[942,203,theory(equality)]) ).
cnf(948,negated_conjecture,
( related(esk18_0,esk19_0,esk22_0)
| ~ in(esk19_0,the_carrier(esk18_0)) ),
inference(cn,[status(thm)],[947,theory(equality)]) ).
cnf(949,negated_conjecture,
~ in(esk19_0,the_carrier(esk18_0)),
inference(sr,[status(thm)],[948,204,theory(equality)]) ).
cnf(955,negated_conjecture,
empty(the_carrier(esk18_0)),
inference(sr,[status(thm)],[241,949,theory(equality)]) ).
cnf(957,negated_conjecture,
( empty_carrier(esk18_0)
| ~ one_sorted_str(esk18_0) ),
inference(spm,[status(thm)],[98,955,theory(equality)]) ).
cnf(971,negated_conjecture,
( empty_carrier(esk18_0)
| $false ),
inference(rw,[status(thm)],[957,286,theory(equality)]) ).
cnf(972,negated_conjecture,
empty_carrier(esk18_0),
inference(cn,[status(thm)],[971,theory(equality)]) ).
cnf(973,negated_conjecture,
$false,
inference(sr,[status(thm)],[972,196,theory(equality)]) ).
cnf(974,negated_conjecture,
$false,
973,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU375+1.p
% --creating new selector for []
% -running prover on /tmp/tmpVW8ss6/sel_SEU375+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU375+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU375+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU375+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
%
%------------------------------------------------------------------------------