TSTP Solution File: SEU401+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU401+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:19:41 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 59 ( 4 unt; 0 def)
% Number of atoms : 293 ( 68 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 390 ( 156 ~; 153 |; 67 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-5 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-6 aty)
% Number of variables : 266 ( 33 sgn 46 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s2_xboole_0__e6_39_3__yellow19__1,conjecture,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4,X5,X6] :
( ( ! [X7] :
( in(X7,X5)
<=> ( in(X7,the_carrier(X2))
& ? [X8] :
( netstr_induced_subset(X8,X1,X2)
& ? [X9] :
( element(X9,the_carrier(X2))
& X4 = topstr_closure(X1,X8)
& X7 = X9
& X8 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9))) ) ) ) )
& ! [X7] :
( in(X7,X6)
<=> ( in(X7,the_carrier(X2))
& ? [X10] :
( netstr_induced_subset(X10,X1,X2)
& ? [X11] :
( element(X11,the_carrier(X2))
& X4 = topstr_closure(X1,X10)
& X7 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))) ) ) ) ) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s2_xboole_0__e6_39_3__yellow19__1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_tarski) ).
fof(c_0_2,plain,
! [X6,X5,X4,X2,X1] :
( epred1_5(X1,X2,X4,X5,X6)
<=> ( ! [X7] :
( in(X7,X5)
<=> ( in(X7,the_carrier(X2))
& ? [X8] :
( netstr_induced_subset(X8,X1,X2)
& ? [X9] :
( element(X9,the_carrier(X2))
& X4 = topstr_closure(X1,X8)
& X7 = X9
& X8 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9))) ) ) ) )
& ! [X7] :
( in(X7,X6)
<=> ( in(X7,the_carrier(X2))
& ? [X10] :
( netstr_induced_subset(X10,X1,X2)
& ? [X11] :
( element(X11,the_carrier(X2))
& X4 = topstr_closure(X1,X10)
& X7 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X6,X5,X4,X2,X1] :
( epred1_5(X1,X2,X4,X5,X6)
=> ( ! [X7] :
( in(X7,X5)
<=> ( in(X7,the_carrier(X2))
& ? [X8] :
( netstr_induced_subset(X8,X1,X2)
& ? [X9] :
( element(X9,the_carrier(X2))
& X4 = topstr_closure(X1,X8)
& X7 = X9
& X8 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9))) ) ) ) )
& ! [X7] :
( in(X7,X6)
<=> ( in(X7,the_carrier(X2))
& ? [X10] :
( netstr_induced_subset(X10,X1,X2)
& ? [X11] :
( element(X11,the_carrier(X2))
& X4 = topstr_closure(X1,X10)
& X7 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,plain,
! [X12,X13,X14,X15,X16,X17,X17,X20,X21,X22,X22,X25,X26] :
( ( in(X17,the_carrier(X15))
| ~ in(X17,X13)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( netstr_induced_subset(esk22_6(X12,X13,X14,X15,X16,X17),X16,X15)
| ~ in(X17,X13)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( element(esk23_6(X12,X13,X14,X15,X16,X17),the_carrier(X15))
| ~ in(X17,X13)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( X14 = topstr_closure(X16,esk22_6(X12,X13,X14,X15,X16,X17))
| ~ in(X17,X13)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( X17 = esk23_6(X12,X13,X14,X15,X16,X17)
| ~ in(X17,X13)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( esk22_6(X12,X13,X14,X15,X16,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,esk23_6(X12,X13,X14,X15,X16,X17))),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,esk23_6(X12,X13,X14,X15,X16,X17))))
| ~ in(X17,X13)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( ~ in(X17,the_carrier(X15))
| ~ netstr_induced_subset(X20,X16,X15)
| ~ element(X21,the_carrier(X15))
| X14 != topstr_closure(X16,X20)
| X17 != X21
| X20 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X21)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X21)))
| in(X17,X13)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( in(X22,the_carrier(X15))
| ~ in(X22,X12)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( netstr_induced_subset(esk24_6(X12,X13,X14,X15,X16,X22),X16,X15)
| ~ in(X22,X12)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( element(esk25_6(X12,X13,X14,X15,X16,X22),the_carrier(X15))
| ~ in(X22,X12)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( X14 = topstr_closure(X16,esk24_6(X12,X13,X14,X15,X16,X22))
| ~ in(X22,X12)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( X22 = esk25_6(X12,X13,X14,X15,X16,X22)
| ~ in(X22,X12)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( esk24_6(X12,X13,X14,X15,X16,X22) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,esk25_6(X12,X13,X14,X15,X16,X22))),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,esk25_6(X12,X13,X14,X15,X16,X22))))
| ~ in(X22,X12)
| ~ epred1_5(X16,X15,X14,X13,X12) )
& ( ~ in(X22,the_carrier(X15))
| ~ netstr_induced_subset(X25,X16,X15)
| ~ element(X26,the_carrier(X15))
| X14 != topstr_closure(X16,X25)
| X22 != X26
| X25 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X26)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X26)))
| in(X22,X12)
| ~ epred1_5(X16,X15,X14,X13,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
cnf(c_0_5,plain,
( netstr_induced_subset(esk22_6(X5,X4,X3,X2,X1,X6),X1,X2)
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,plain,
( esk22_6(X5,X4,X3,X2,X1,X6) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk23_6(X5,X4,X3,X2,X1,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk23_6(X5,X4,X3,X2,X1,X6))))
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4,X5,X6] :
( epred1_5(X1,X2,X4,X5,X6)
=> X5 = X6 ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[s2_xboole_0__e6_39_3__yellow19__1]),c_0_2]) ).
cnf(c_0_8,plain,
( netstr_induced_subset(esk24_6(X5,X4,X3,X2,X1,X6),X1,X2)
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( esk24_6(X5,X4,X3,X2,X1,X6) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk25_6(X5,X4,X3,X2,X1,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk25_6(X5,X4,X3,X2,X1,X6))))
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( in(X6,X5)
| ~ epred1_5(X1,X2,X3,X4,X5)
| X7 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X8)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X8)))
| X6 != X8
| X3 != topstr_closure(X1,X7)
| ~ element(X8,the_carrier(X2))
| ~ netstr_induced_subset(X7,X1,X2)
| ~ in(X6,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk23_6(X3,X4,X5,X2,X1,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk23_6(X3,X4,X5,X2,X1,X6)))),X1,X2)
| ~ epred1_5(X1,X2,X5,X4,X3)
| ~ in(X6,X4) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_12,plain,
( X6 = esk23_6(X5,X4,X3,X2,X1,X6)
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_13,negated_conjecture,
( ~ empty_carrier(esk1_0)
& topological_space(esk1_0)
& top_str(esk1_0)
& ~ empty_carrier(esk2_0)
& transitive_relstr(esk2_0)
& directed_relstr(esk2_0)
& net_str(esk2_0,esk1_0)
& epred1_5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)
& esk4_0 != esk5_0 ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])])]) ).
cnf(c_0_14,plain,
( element(esk23_6(X5,X4,X3,X2,X1,X6),the_carrier(X2))
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( in(X6,X4)
| ~ epred1_5(X1,X2,X3,X4,X5)
| X7 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X8)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X8)))
| X6 != X8
| X3 != topstr_closure(X1,X7)
| ~ element(X8,the_carrier(X2))
| ~ netstr_induced_subset(X7,X1,X2)
| ~ in(X6,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk25_6(X3,X4,X5,X2,X1,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk25_6(X3,X4,X5,X2,X1,X6)))),X1,X2)
| ~ epred1_5(X1,X2,X5,X4,X3)
| ~ in(X6,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_17,plain,
( X6 = esk25_6(X5,X4,X3,X2,X1,X6)
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( element(esk25_6(X5,X4,X3,X2,X1,X6),the_carrier(X2))
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
( X3 = topstr_closure(X1,esk24_6(X5,X4,X3,X2,X1,X6))
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,plain,
( in(X1,X2)
| X3 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X5,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X5,X1)))
| X6 != topstr_closure(X4,X3)
| ~ epred1_5(X4,X5,X6,X7,X2)
| ~ element(X1,the_carrier(X5))
| ~ netstr_induced_subset(X3,X4,X5)
| ~ in(X1,the_carrier(X5)) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))),X1,X2)
| ~ epred1_5(X1,X2,X4,X5,X6)
| ~ in(X3,X5) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_22,negated_conjecture,
epred1_5(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( in(X6,the_carrier(X2))
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
( element(X1,the_carrier(X2))
| ~ epred1_5(X3,X2,X4,X5,X6)
| ~ in(X1,X5) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_25,plain,
( X3 = topstr_closure(X1,esk22_6(X5,X4,X3,X2,X1,X6))
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,plain,
( in(X1,X2)
| X3 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X5,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X5,X1)))
| X6 != topstr_closure(X4,X3)
| ~ epred1_5(X4,X5,X6,X2,X7)
| ~ element(X1,the_carrier(X5))
| ~ netstr_induced_subset(X3,X4,X5)
| ~ in(X1,the_carrier(X5)) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_27,plain,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))),X1,X2)
| ~ epred1_5(X1,X2,X4,X5,X6)
| ~ in(X3,X6) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_28,plain,
( in(X6,the_carrier(X2))
| ~ epred1_5(X1,X2,X3,X4,X5)
| ~ in(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( element(X1,the_carrier(X2))
| ~ epred1_5(X3,X2,X4,X5,X6)
| ~ in(X1,X6) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_30,plain,
( topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk25_6(X3,X4,X5,X2,X1,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk25_6(X3,X4,X5,X2,X1,X6))))) = X5
| ~ epred1_5(X1,X2,X5,X4,X3)
| ~ in(X6,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
cnf(c_0_31,plain,
( in(X1,X2)
| X3 != topstr_closure(X4,relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X5,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X5,X1))))
| ~ epred1_5(X4,X5,X3,X6,X2)
| ~ element(X1,the_carrier(X5))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X5,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X5,X1))),X4,X5)
| ~ in(X1,the_carrier(X5)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1))),esk1_0,esk2_0)
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_33,negated_conjecture,
( in(X1,the_carrier(esk2_0))
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_34,negated_conjecture,
( element(X1,the_carrier(esk2_0))
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_35,plain,
( topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk23_6(X3,X4,X5,X2,X1,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk23_6(X3,X4,X5,X2,X1,X6))))) = X5
| ~ epred1_5(X1,X2,X5,X4,X3)
| ~ in(X6,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_6]) ).
cnf(c_0_36,plain,
( in(X1,X2)
| X3 != topstr_closure(X4,relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X5,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X5,X1))))
| ~ epred1_5(X4,X5,X3,X2,X6)
| ~ element(X1,the_carrier(X5))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X5,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X5,X1))),X4,X5)
| ~ in(X1,the_carrier(X5)) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_37,negated_conjecture,
( netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1))),esk1_0,esk2_0)
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_38,negated_conjecture,
( in(X1,the_carrier(esk2_0))
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_39,negated_conjecture,
( element(X1,the_carrier(esk2_0))
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_40,plain,
( topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3)))) = X4
| ~ epred1_5(X1,X2,X4,X5,X6)
| ~ in(X3,X6) ),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_41,plain,
( in(X1,X2)
| X3 != topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1))))
| ~ epred1_5(esk1_0,esk2_0,X3,X4,X2)
| ~ in(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_42,plain,
( topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3)))) = X4
| ~ epred1_5(X1,X2,X4,X5,X6)
| ~ in(X3,X5) ),
inference(spm,[status(thm)],[c_0_35,c_0_12]) ).
cnf(c_0_43,plain,
( in(X1,X2)
| X3 != topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1))))
| ~ epred1_5(esk1_0,esk2_0,X3,X2,X4)
| ~ in(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1)))) = esk3_0
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_22]) ).
cnf(c_0_45,plain,
( in(X1,X2)
| ~ epred1_5(esk1_0,esk2_0,topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1)))),X3,X2)
| ~ in(X1,esk4_0) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1)))) = esk3_0
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_22]) ).
cnf(c_0_47,negated_conjecture,
( in(X1,X2)
| X3 != esk3_0
| ~ epred1_5(esk1_0,esk2_0,X3,X2,X4)
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,plain,
! [X4,X5] :
( ( ~ in(esk8_2(X4,X5),X4)
| ~ in(esk8_2(X4,X5),X5)
| X4 = X5 )
& ( in(esk8_2(X4,X5),X4)
| in(esk8_2(X4,X5),X5)
| X4 = X5 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])])]) ).
cnf(c_0_49,negated_conjecture,
( in(X1,X2)
| ~ epred1_5(esk1_0,esk2_0,esk3_0,X3,X2)
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( in(X1,esk4_0)
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_22]) ).
cnf(c_0_51,plain,
( X1 = X2
| in(esk8_2(X1,X2),X2)
| in(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,plain,
( X1 = X2
| ~ in(esk8_2(X1,X2),X2)
| ~ in(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( in(X1,esk5_0)
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_22]) ).
cnf(c_0_54,negated_conjecture,
( X1 = esk5_0
| in(esk8_2(X1,esk5_0),esk4_0)
| in(esk8_2(X1,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
esk4_0 != esk5_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_56,negated_conjecture,
( X1 = esk5_0
| ~ in(esk8_2(X1,esk5_0),esk4_0)
| ~ in(esk8_2(X1,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
in(esk8_2(esk4_0,esk5_0),esk4_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_54]),c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_57])]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 09:46:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.022 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 59
% 0.23/1.42 # Proof object clause steps : 51
% 0.23/1.42 # Proof object formula steps : 8
% 0.23/1.42 # Proof object conjectures : 21
% 0.23/1.42 # Proof object clause conjectures : 18
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 18
% 0.23/1.42 # Proof object initial formulas used : 2
% 0.23/1.42 # Proof object generating inferences : 31
% 0.23/1.42 # Proof object simplifying inferences : 10
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 69
% 0.23/1.42 # Removed by relevancy pruning/SinE : 22
% 0.23/1.42 # Initial clauses : 114
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 114
% 0.23/1.42 # Processed clauses : 510
% 0.23/1.42 # ...of these trivial : 0
% 0.23/1.42 # ...subsumed : 170
% 0.23/1.42 # ...remaining for further processing : 340
% 0.23/1.42 # Other redundant clauses eliminated : 14
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 10
% 0.23/1.42 # Backward-rewritten : 7
% 0.23/1.42 # Generated clauses : 637
% 0.23/1.42 # ...of the previous two non-trivial : 576
% 0.23/1.42 # Contextual simplify-reflections : 153
% 0.23/1.42 # Paramodulations : 608
% 0.23/1.42 # Factorizations : 4
% 0.23/1.42 # Equation resolutions : 25
% 0.23/1.42 # Current number of processed clauses : 321
% 0.23/1.42 # Positive orientable unit clauses : 21
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 12
% 0.23/1.42 # Non-unit-clauses : 288
% 0.23/1.42 # Current number of unprocessed clauses: 170
% 0.23/1.42 # ...number of literals in the above : 1052
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 17
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 37954
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 10615
% 0.23/1.42 # Non-unit clause-clause subsumptions : 324
% 0.23/1.42 # Unit Clause-clause subsumption calls : 85
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 1
% 0.23/1.42 # BW rewrite match successes : 1
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 25100
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.084 s
% 0.23/1.42 # System time : 0.003 s
% 0.23/1.42 # Total time : 0.087 s
% 0.23/1.42 # Maximum resident set size: 4408 pages
%------------------------------------------------------------------------------