TSTP Solution File: SEU401+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU401+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:26:19 EDT 2023
% Result : Theorem 0.65s 0.54s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 56 ( 5 unt; 0 def)
% Number of atoms : 283 ( 68 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 377 ( 150 ~; 146 |; 67 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 5 ( 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 : 251 ( 30 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/tmp/tmp.N3JV5vigqe/E---3.1_1475.p',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/tmp/tmp.N3JV5vigqe/E---3.1_1475.p',t2_tarski) ).
fof(c_0_2,plain,
! [X1,X6,X5,X4,X2] :
( epred1_5(X2,X4,X5,X6,X1)
<=> ( ! [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,
! [X1,X6,X5,X4,X2] :
( epred1_5(X2,X4,X5,X6,X1)
=> ( ! [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,
! [X150,X151,X152,X153,X154,X155,X158,X159,X160,X161,X164,X165,X166] :
( ( in(X155,the_carrier(X154))
| ~ in(X155,X152)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( netstr_induced_subset(esk27_6(X150,X151,X152,X153,X154,X155),X150,X154)
| ~ in(X155,X152)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( element(esk28_6(X150,X151,X152,X153,X154,X155),the_carrier(X154))
| ~ in(X155,X152)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( X153 = topstr_closure(X150,esk27_6(X150,X151,X152,X153,X154,X155))
| ~ in(X155,X152)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( X155 = esk28_6(X150,X151,X152,X153,X154,X155)
| ~ in(X155,X152)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( esk27_6(X150,X151,X152,X153,X154,X155) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X150,X154,esk28_6(X150,X151,X152,X153,X154,X155))),the_carrier(X150),the_mapping(X150,subnetstr_of_element(X150,X154,esk28_6(X150,X151,X152,X153,X154,X155))))
| ~ in(X155,X152)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( ~ in(X158,the_carrier(X154))
| ~ netstr_induced_subset(X159,X150,X154)
| ~ element(X160,the_carrier(X154))
| X153 != topstr_closure(X150,X159)
| X158 != X160
| X159 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X150,X154,X160)),the_carrier(X150),the_mapping(X150,subnetstr_of_element(X150,X154,X160)))
| in(X158,X152)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( in(X161,the_carrier(X154))
| ~ in(X161,X151)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( netstr_induced_subset(esk29_6(X150,X151,X152,X153,X154,X161),X150,X154)
| ~ in(X161,X151)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( element(esk30_6(X150,X151,X152,X153,X154,X161),the_carrier(X154))
| ~ in(X161,X151)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( X153 = topstr_closure(X150,esk29_6(X150,X151,X152,X153,X154,X161))
| ~ in(X161,X151)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( X161 = esk30_6(X150,X151,X152,X153,X154,X161)
| ~ in(X161,X151)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( esk29_6(X150,X151,X152,X153,X154,X161) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X150,X154,esk30_6(X150,X151,X152,X153,X154,X161))),the_carrier(X150),the_mapping(X150,subnetstr_of_element(X150,X154,esk30_6(X150,X151,X152,X153,X154,X161))))
| ~ in(X161,X151)
| ~ epred1_5(X154,X153,X152,X151,X150) )
& ( ~ in(X164,the_carrier(X154))
| ~ netstr_induced_subset(X165,X150,X154)
| ~ element(X166,the_carrier(X154))
| X153 != topstr_closure(X150,X165)
| X164 != X166
| X165 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X150,X154,X166)),the_carrier(X150),the_mapping(X150,subnetstr_of_element(X150,X154,X166)))
| in(X164,X151)
| ~ epred1_5(X154,X153,X152,X151,X150) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
cnf(c_0_5,plain,
( esk29_6(X1,X2,X3,X4,X5,X6) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X5,esk30_6(X1,X2,X3,X4,X5,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X5,esk30_6(X1,X2,X3,X4,X5,X6))))
| ~ in(X6,X2)
| ~ epred1_5(X5,X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,plain,
( X1 = esk30_6(X2,X3,X4,X5,X6,X1)
| ~ in(X1,X3)
| ~ epred1_5(X6,X5,X4,X3,X2) ),
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(X2,X4,X5,X6,X1)
=> X5 = X6 ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[s2_xboole_0__e6_39_3__yellow19__1])]),c_0_2]) ).
cnf(c_0_8,plain,
( in(X1,X7)
| ~ in(X1,the_carrier(X2))
| ~ netstr_induced_subset(X3,X4,X2)
| ~ element(X5,the_carrier(X2))
| X6 != topstr_closure(X4,X3)
| X1 != X5
| X3 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X2,X5)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X2,X5)))
| ~ epred1_5(X2,X6,X7,X8,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( netstr_induced_subset(esk29_6(X1,X2,X3,X4,X5,X6),X1,X5)
| ~ in(X6,X2)
| ~ epred1_5(X5,X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))) = esk29_6(X1,X4,X5,X6,X2,X3)
| ~ epred1_5(X2,X6,X5,X4,X1)
| ~ in(X3,X4) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
fof(c_0_11,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(esk2_0,esk3_0,esk4_0,esk5_0,esk1_0)
& esk4_0 != esk5_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_12,plain,
( element(esk30_6(X1,X2,X3,X4,X5,X6),the_carrier(X5))
| ~ in(X6,X2)
| ~ epred1_5(X5,X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,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(X5,X6,X2,X7,X4)
| ~ element(X1,the_carrier(X5))
| ~ netstr_induced_subset(X3,X4,X5)
| ~ in(X1,the_carrier(X5)) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_14,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(X2,X4,X5,X6,X1)
| ~ in(X3,X6) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
epred1_5(esk2_0,esk3_0,esk4_0,esk5_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( in(X1,the_carrier(X2))
| ~ in(X1,X3)
| ~ epred1_5(X2,X4,X5,X3,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( element(X1,the_carrier(X2))
| ~ epred1_5(X2,X3,X4,X5,X6)
| ~ in(X1,X5) ),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_18,plain,
( X1 = topstr_closure(X2,esk29_6(X2,X3,X4,X1,X5,X6))
| ~ in(X6,X3)
| ~ epred1_5(X5,X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,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(X5,X3,X2,X6,X4)
| ~ 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_13]) ).
cnf(c_0_20,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_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( in(X1,the_carrier(esk2_0))
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( element(X1,the_carrier(esk2_0))
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_23,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(X2,X4,X5,X6,X1)
| ~ in(X3,X6) ),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_24,plain,
( esk27_6(X1,X2,X3,X4,X5,X6) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X5,esk28_6(X1,X2,X3,X4,X5,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X5,esk28_6(X1,X2,X3,X4,X5,X6))))
| ~ in(X6,X3)
| ~ epred1_5(X5,X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,plain,
( X1 = esk28_6(X2,X3,X4,X5,X6,X1)
| ~ in(X1,X4)
| ~ epred1_5(X6,X5,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,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(esk2_0,X3,X2,X4,esk1_0)
| ~ in(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_27,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_23,c_0_15]) ).
cnf(c_0_28,plain,
( in(X1,X7)
| ~ in(X1,the_carrier(X2))
| ~ netstr_induced_subset(X3,X4,X2)
| ~ element(X5,the_carrier(X2))
| X6 != topstr_closure(X4,X3)
| X1 != X5
| X3 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X2,X5)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X2,X5)))
| ~ epred1_5(X2,X6,X8,X7,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( netstr_induced_subset(esk27_6(X1,X2,X3,X4,X5,X6),X1,X5)
| ~ in(X6,X3)
| ~ epred1_5(X5,X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,plain,
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X3)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X3))) = esk27_6(X1,X4,X5,X6,X2,X3)
| ~ epred1_5(X2,X6,X5,X4,X1)
| ~ in(X3,X5) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( element(esk28_6(X1,X2,X3,X4,X5,X6),the_carrier(X5))
| ~ in(X6,X3)
| ~ epred1_5(X5,X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,negated_conjecture,
( in(X1,X2)
| X3 != esk3_0
| ~ epred1_5(esk2_0,X3,X2,X4,esk1_0)
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_33,plain,
! [X147,X148] :
( ( ~ in(esk26_2(X147,X148),X147)
| ~ in(esk26_2(X147,X148),X148)
| X147 = X148 )
& ( in(esk26_2(X147,X148),X147)
| in(esk26_2(X147,X148),X148)
| X147 = X148 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(c_0_34,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(X5,X6,X7,X2,X4)
| ~ element(X1,the_carrier(X5))
| ~ netstr_induced_subset(X3,X4,X5)
| ~ in(X1,the_carrier(X5)) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_35,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(X2,X4,X5,X6,X1)
| ~ in(X3,X5) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( in(X1,the_carrier(X2))
| ~ in(X1,X3)
| ~ epred1_5(X2,X4,X3,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,plain,
( element(X1,the_carrier(X2))
| ~ epred1_5(X2,X3,X4,X5,X6)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_38,plain,
( X1 = topstr_closure(X2,esk27_6(X2,X3,X4,X1,X5,X6))
| ~ in(X6,X4)
| ~ epred1_5(X5,X1,X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,negated_conjecture,
( in(X1,esk4_0)
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_40,plain,
( in(esk26_2(X1,X2),X1)
| in(esk26_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,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(X5,X3,X6,X2,X4)
| ~ 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_34]) ).
cnf(c_0_42,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_35,c_0_15]) ).
cnf(c_0_43,negated_conjecture,
( in(X1,the_carrier(esk2_0))
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_15]) ).
cnf(c_0_44,negated_conjecture,
( element(X1,the_carrier(esk2_0))
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_45,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(X2,X4,X5,X6,X1)
| ~ in(X3,X5) ),
inference(spm,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_46,negated_conjecture,
( esk5_0 = X1
| in(esk26_2(esk5_0,X1),esk4_0)
| in(esk26_2(esk5_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
esk4_0 != esk5_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,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(esk2_0,X3,X4,X2,esk1_0)
| ~ in(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_49,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_45,c_0_15]) ).
cnf(c_0_50,plain,
( X1 = X2
| ~ in(esk26_2(X1,X2),X1)
| ~ in(esk26_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_51,negated_conjecture,
in(esk26_2(esk5_0,esk4_0),esk4_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_46]),c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( in(X1,X2)
| X3 != esk3_0
| ~ epred1_5(esk2_0,X3,X4,X2,esk1_0)
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
~ in(esk26_2(esk5_0,esk4_0),esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( in(X1,esk5_0)
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_15]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU401+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 09:41:21 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.46 Running first-order theorem proving
% 0.17/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.N3JV5vigqe/E---3.1_1475.p
% 0.65/0.54 # Version: 3.1pre001
% 0.65/0.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.65/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.65/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.65/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.65/0.54 # Starting sh5l with 300s (1) cores
% 0.65/0.54 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1554 completed with status 0
% 0.65/0.54 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.65/0.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.65/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.65/0.54 # No SInE strategy applied
% 0.65/0.54 # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.65/0.54 # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.54 # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 0.65/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.65/0.54 # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.65/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.65/0.54 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 0.65/0.54 # G-E--_303_C18_F1_URBAN_S0Y with pid 1560 completed with status 0
% 0.65/0.54 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 0.65/0.54 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.65/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.65/0.54 # No SInE strategy applied
% 0.65/0.54 # Search class: FGHSM-FSLM32-MFFFFFNN
% 0.65/0.54 # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.54 # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 0.65/0.54 # Preprocessing time : 0.004 s
% 0.65/0.54
% 0.65/0.54 # Proof found!
% 0.65/0.54 # SZS status Theorem
% 0.65/0.54 # SZS output start CNFRefutation
% See solution above
% 0.65/0.54 # Parsed axioms : 69
% 0.65/0.54 # Removed by relevancy pruning/SinE : 0
% 0.65/0.54 # Initial clauses : 170
% 0.65/0.54 # Removed in clause preprocessing : 10
% 0.65/0.54 # Initial clauses in saturation : 160
% 0.65/0.54 # Processed clauses : 630
% 0.65/0.54 # ...of these trivial : 1
% 0.65/0.54 # ...subsumed : 184
% 0.65/0.54 # ...remaining for further processing : 445
% 0.65/0.54 # Other redundant clauses eliminated : 10
% 0.65/0.54 # Clauses deleted for lack of memory : 0
% 0.65/0.54 # Backward-subsumed : 12
% 0.65/0.54 # Backward-rewritten : 9
% 0.65/0.54 # Generated clauses : 832
% 0.65/0.54 # ...of the previous two non-redundant : 773
% 0.65/0.54 # ...aggressively subsumed : 0
% 0.65/0.54 # Contextual simplify-reflections : 63
% 0.65/0.54 # Paramodulations : 799
% 0.65/0.54 # Factorizations : 4
% 0.65/0.54 # NegExts : 0
% 0.65/0.54 # Equation resolutions : 29
% 0.65/0.54 # Total rewrite steps : 179
% 0.65/0.54 # Propositional unsat checks : 0
% 0.65/0.54 # Propositional check models : 0
% 0.65/0.54 # Propositional check unsatisfiable : 0
% 0.65/0.54 # Propositional clauses : 0
% 0.65/0.54 # Propositional clauses after purity: 0
% 0.65/0.54 # Propositional unsat core size : 0
% 0.65/0.54 # Propositional preprocessing time : 0.000
% 0.65/0.54 # Propositional encoding time : 0.000
% 0.65/0.54 # Propositional solver time : 0.000
% 0.65/0.54 # Success case prop preproc time : 0.000
% 0.65/0.54 # Success case prop encoding time : 0.000
% 0.65/0.54 # Success case prop solver time : 0.000
% 0.65/0.54 # Current number of processed clauses : 422
% 0.65/0.54 # Positive orientable unit clauses : 21
% 0.65/0.54 # Positive unorientable unit clauses: 0
% 0.65/0.54 # Negative unit clauses : 13
% 0.65/0.54 # Non-unit-clauses : 388
% 0.65/0.54 # Current number of unprocessed clauses: 291
% 0.65/0.54 # ...number of literals in the above : 1791
% 0.65/0.54 # Current number of archived formulas : 0
% 0.65/0.54 # Current number of archived clauses : 21
% 0.65/0.54 # Clause-clause subsumption calls (NU) : 49378
% 0.65/0.54 # Rec. Clause-clause subsumption calls : 8432
% 0.65/0.54 # Non-unit clause-clause subsumptions : 252
% 0.65/0.54 # Unit Clause-clause subsumption calls : 168
% 0.65/0.54 # Rewrite failures with RHS unbound : 0
% 0.65/0.54 # BW rewrite match attempts : 2
% 0.65/0.54 # BW rewrite match successes : 2
% 0.65/0.54 # Condensation attempts : 0
% 0.65/0.54 # Condensation successes : 0
% 0.65/0.54 # Termbank termtop insertions : 31302
% 0.65/0.54
% 0.65/0.54 # -------------------------------------------------
% 0.65/0.54 # User time : 0.071 s
% 0.65/0.54 # System time : 0.005 s
% 0.65/0.54 # Total time : 0.076 s
% 0.65/0.54 # Maximum resident set size: 2332 pages
% 0.65/0.54
% 0.65/0.54 # -------------------------------------------------
% 0.65/0.54 # User time : 0.307 s
% 0.65/0.54 # System time : 0.022 s
% 0.65/0.54 # Total time : 0.329 s
% 0.65/0.54 # Maximum resident set size: 1760 pages
% 0.65/0.54 % E---3.1 exiting
% 0.65/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------