%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU401+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:24:59 PM UTC 2026
% Result : Theorem 0.20s 5.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 53 ( 4 unt; 0 def)
% Number of atoms : 281 ( 66 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 360 ( 132 ~; 126 |; 84 &)
% ( 10 <=>; 8 =>; 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 : 238 ( 27 sgn 54 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s2_xboole_0__e6_39_3__yellow19__1,conjecture,
! [X1,X2,X3] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X4,X5,X6] :
( ( ! [X7] :
( in(X7,X6)
<=> ( ? [X10] :
( ? [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)))
& X7 = X11
& X4 = topstr_closure(X1,X10)
& element(X11,the_carrier(X2)) )
& netstr_induced_subset(X10,X1,X2) )
& in(X7,the_carrier(X2)) ) )
& ! [X7] :
( in(X7,X5)
<=> ( ? [X8] :
( ? [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 = X9
& X4 = topstr_closure(X1,X8)
& element(X9,the_carrier(X2)) )
& netstr_induced_subset(X8,X1,X2) )
& in(X7,the_carrier(X2)) ) ) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.p',t2_tarski) ).
fof(c_0_2,plain,
! [X1,X6,X5,X4,X2] :
( epred1_5(X2,X4,X5,X6,X1)
<=> ( ! [X7] :
( in(X7,X6)
<=> ( ? [X10] :
( ? [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)))
& X7 = X11
& X4 = topstr_closure(X1,X10)
& element(X11,the_carrier(X2)) )
& netstr_induced_subset(X10,X1,X2) )
& in(X7,the_carrier(X2)) ) )
& ! [X7] :
( in(X7,X5)
<=> ( ? [X8] :
( ? [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 = X9
& X4 = topstr_closure(X1,X8)
& element(X9,the_carrier(X2)) )
& netstr_induced_subset(X8,X1,X2) )
& in(X7,the_carrier(X2)) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1,X6,X5,X4,X2] :
( epred1_5(X2,X4,X5,X6,X1)
=> ( ! [X7] :
( in(X7,X6)
<=> ( ? [X10] :
( ? [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)))
& X7 = X11
& X4 = topstr_closure(X1,X10)
& element(X11,the_carrier(X2)) )
& netstr_induced_subset(X10,X1,X2) )
& in(X7,the_carrier(X2)) ) )
& ! [X7] :
( in(X7,X5)
<=> ( ? [X8] :
( ? [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 = X9
& X4 = topstr_closure(X1,X8)
& element(X9,the_carrier(X2)) )
& netstr_induced_subset(X8,X1,X2) )
& in(X7,the_carrier(X2)) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,plain,
! [X118,X119,X120,X121,X122,X123,X126,X127,X128,X129,X132,X133,X134] :
( ( ~ epred1_5(X122,X121,X120,X119,X118)
| in(X132,X119)
| X133 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X118,X122,X134)),the_carrier(X118),the_mapping(X118,subnetstr_of_element(X118,X122,X134)))
| X132 != X134
| X121 != topstr_closure(X118,X133)
| ~ element(X134,the_carrier(X122))
| ~ netstr_induced_subset(X133,X118,X122)
| ~ in(X132,the_carrier(X122)) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X129,X119)
| esk22_6(X118,X119,X120,X121,X122,X129) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X118,X122,esk23_6(X118,X119,X120,X121,X122,X129))),the_carrier(X118),the_mapping(X118,subnetstr_of_element(X118,X122,esk23_6(X118,X119,X120,X121,X122,X129)))) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X129,X119)
| X129 = esk23_6(X118,X119,X120,X121,X122,X129) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X129,X119)
| X121 = topstr_closure(X118,esk22_6(X118,X119,X120,X121,X122,X129)) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X129,X119)
| element(esk23_6(X118,X119,X120,X121,X122,X129),the_carrier(X122)) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X129,X119)
| netstr_induced_subset(esk22_6(X118,X119,X120,X121,X122,X129),X118,X122) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X129,X119)
| in(X129,the_carrier(X122)) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| in(X126,X120)
| X127 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X118,X122,X128)),the_carrier(X118),the_mapping(X118,subnetstr_of_element(X118,X122,X128)))
| X126 != X128
| X121 != topstr_closure(X118,X127)
| ~ element(X128,the_carrier(X122))
| ~ netstr_induced_subset(X127,X118,X122)
| ~ in(X126,the_carrier(X122)) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X123,X120)
| esk20_6(X118,X119,X120,X121,X122,X123) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X118,X122,esk21_6(X118,X119,X120,X121,X122,X123))),the_carrier(X118),the_mapping(X118,subnetstr_of_element(X118,X122,esk21_6(X118,X119,X120,X121,X122,X123)))) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X123,X120)
| X123 = esk21_6(X118,X119,X120,X121,X122,X123) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X123,X120)
| X121 = topstr_closure(X118,esk20_6(X118,X119,X120,X121,X122,X123)) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X123,X120)
| element(esk21_6(X118,X119,X120,X121,X122,X123),the_carrier(X122)) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X123,X120)
| netstr_induced_subset(esk20_6(X118,X119,X120,X121,X122,X123),X118,X122) )
& ( ~ epred1_5(X122,X121,X120,X119,X118)
| ~ in(X123,X120)
| in(X123,the_carrier(X122)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X4,X5,X6] :
( ( ! [X7] :
( in(X7,X6)
<=> ( ? [X10] :
( ? [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)))
& X7 = X11
& X4 = topstr_closure(X1,X10)
& element(X11,the_carrier(X2)) )
& netstr_induced_subset(X10,X1,X2) )
& in(X7,the_carrier(X2)) ) )
& ! [X7] :
( in(X7,X5)
<=> ( ? [X8] :
( ? [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 = X9
& X4 = topstr_closure(X1,X8)
& element(X9,the_carrier(X2)) )
& netstr_induced_subset(X8,X1,X2) )
& in(X7,the_carrier(X2)) ) ) )
=> X5 = X6 ) ),
inference(assume_negation,[status(cth)],[s2_xboole_0__e6_39_3__yellow19__1]) ).
cnf(c_0_6,plain,
( ~ epred1_5(X5,X4,X3,X2,X1)
| ~ in(X6,X2)
| esk22_6(X1,X2,X3,X4,X5,X6) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X5,esk23_6(X1,X2,X3,X4,X5,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X5,esk23_6(X1,X2,X3,X4,X5,X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ epred1_5(X6,X5,X4,X3,X2)
| ~ in(X1,X3)
| X1 = esk23_6(X2,X3,X4,X5,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2,X3] :
( ( net_str(X2,X1)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2)
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ! [X4,X5,X6] :
( epred1_5(X2,X4,X5,X6,X1)
=> X5 = X6 ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5]),c_0_2]) ).
cnf(c_0_9,plain,
( ~ epred1_5(X5,X4,X3,X2,X1)
| ~ in(X6,X3)
| esk20_6(X1,X2,X3,X4,X5,X6) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X5,esk21_6(X1,X2,X3,X4,X5,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X5,esk21_6(X1,X2,X3,X4,X5,X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( ~ epred1_5(X6,X5,X4,X3,X2)
| ~ in(X1,X4)
| X1 = esk21_6(X2,X3,X4,X5,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( ~ epred1_5(X5,X1,X4,X3,X2)
| ~ in(X6,X3)
| X1 = topstr_closure(X2,esk22_6(X2,X3,X4,X1,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( ~ in(X3,X4)
| ~ epred1_5(X2,X6,X5,X4,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))) = esk22_6(X1,X4,X5,X6,X2,X3) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_13,negated_conjecture,
( esk4_0 != esk5_0
& epred1_5(esk2_0,esk3_0,esk4_0,esk5_0,esk1_0)
& net_str(esk2_0,esk1_0)
& directed_relstr(esk2_0)
& transitive_relstr(esk2_0)
& ~ empty_carrier(esk2_0)
& top_str(esk1_0)
& topological_space(esk1_0)
& ~ empty_carrier(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])])])]) ).
cnf(c_0_14,plain,
( ~ epred1_5(X5,X4,X3,X2,X1)
| ~ in(X6,X2)
| netstr_induced_subset(esk22_6(X1,X2,X3,X4,X5,X6),X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( ~ epred1_5(X5,X4,X3,X2,X1)
| ~ in(X6,X2)
| element(esk23_6(X1,X2,X3,X4,X5,X6),the_carrier(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( ~ epred1_5(X5,X1,X4,X3,X2)
| ~ in(X6,X4)
| X1 = topstr_closure(X2,esk20_6(X2,X3,X4,X1,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( ~ in(X3,X5)
| ~ epred1_5(X2,X6,X5,X4,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))) = esk20_6(X1,X4,X5,X6,X2,X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_18,plain,
( ~ epred1_5(X5,X4,X3,X2,X1)
| ~ in(X6,X3)
| netstr_induced_subset(esk20_6(X1,X2,X3,X4,X5,X6),X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
( ~ epred1_5(X5,X4,X3,X2,X1)
| ~ in(X6,X3)
| element(esk21_6(X1,X2,X3,X4,X5,X6),the_carrier(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,plain,
( ~ epred1_5(X2,X6,X7,X8,X4)
| 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)))
| X1 != X5
| X6 != topstr_closure(X4,X3)
| ~ element(X5,the_carrier(X2))
| ~ netstr_induced_subset(X3,X4,X2)
| ~ in(X1,the_carrier(X2))
| in(X1,X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,plain,
( ~ in(X3,X6)
| ~ epred1_5(X2,X4,X5,X6,X1)
| 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 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_22,negated_conjecture,
epred1_5(esk2_0,esk3_0,esk4_0,esk5_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( ~ epred1_5(X2,X4,X5,X3,X6)
| ~ in(X1,X3)
| in(X1,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
( ~ in(X3,X6)
| ~ epred1_5(X2,X4,X5,X6,X1)
| 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) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_25,plain,
( ~ in(X1,X5)
| ~ epred1_5(X2,X3,X4,X5,X6)
| element(X1,the_carrier(X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_26,plain,
( ~ epred1_5(X2,X6,X8,X7,X4)
| 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)))
| X1 != X5
| X6 != topstr_closure(X4,X3)
| ~ element(X5,the_carrier(X2))
| ~ netstr_induced_subset(X3,X4,X2)
| ~ in(X1,the_carrier(X2))
| in(X1,X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,plain,
( ~ in(X3,X5)
| ~ epred1_5(X2,X4,X5,X6,X1)
| 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 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_28,plain,
( ~ epred1_5(X2,X4,X3,X5,X6)
| ~ in(X1,X3)
| in(X1,the_carrier(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( ~ in(X3,X5)
| ~ epred1_5(X2,X4,X5,X6,X1)
| 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) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_30,plain,
( ~ in(X1,X4)
| ~ epred1_5(X2,X3,X4,X5,X6)
| element(X1,the_carrier(X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_31,plain,
( ~ in(X1,the_carrier(X3))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X3,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X3,X1))),X4,X3)
| ~ element(X1,the_carrier(X3))
| ~ epred1_5(X3,topstr_closure(X4,relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X3,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X3,X1)))),X2,X5,X4)
| in(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])])]) ).
cnf(c_0_32,negated_conjecture,
( ~ in(X1,esk5_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)))) = esk3_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_33,negated_conjecture,
( ~ in(X1,esk5_0)
| in(X1,the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_34,negated_conjecture,
( ~ in(X1,esk5_0)
| 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) ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_35,negated_conjecture,
( ~ in(X1,esk5_0)
| element(X1,the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_36,plain,
( ~ in(X1,the_carrier(X3))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X3,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X3,X1))),X4,X3)
| ~ element(X1,the_carrier(X3))
| ~ epred1_5(X3,topstr_closure(X4,relation_rng_as_subset(the_carrier(subnetstr_of_element(X4,X3,X1)),the_carrier(X4),the_mapping(X4,subnetstr_of_element(X4,X3,X1)))),X5,X2,X4)
| in(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])])]) ).
cnf(c_0_37,negated_conjecture,
( ~ in(X1,esk4_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)))) = esk3_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_38,negated_conjecture,
( ~ in(X1,esk4_0)
| in(X1,the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_39,negated_conjecture,
( ~ in(X1,esk4_0)
| 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) ),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_40,negated_conjecture,
( ~ in(X1,esk4_0)
| element(X1,the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_22]) ).
cnf(c_0_41,negated_conjecture,
( ~ in(X1,esk5_0)
| ~ epred1_5(esk2_0,esk3_0,X2,X3,esk1_0)
| in(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),c_0_35]) ).
fof(c_0_42,plain,
! [X46,X47] :
( ( X46 = X47
| in(esk8_2(X46,X47),X47)
| in(esk8_2(X46,X47),X46) )
& ( X46 = X47
| ~ in(esk8_2(X46,X47),X47)
| ~ in(esk8_2(X46,X47),X46) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])]) ).
cnf(c_0_43,negated_conjecture,
( ~ in(X1,esk4_0)
| ~ epred1_5(esk2_0,esk3_0,X3,X2,esk1_0)
| in(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]),c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( ~ in(X1,esk5_0)
| in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_22]) ).
cnf(c_0_45,plain,
( X1 = X2
| in(esk8_2(X1,X2),X2)
| in(esk8_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_46,plain,
( ~ in(esk8_2(X1,X2),X2)
| ~ in(esk8_2(X1,X2),X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( ~ in(X1,esk4_0)
| in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_22]) ).
cnf(c_0_48,negated_conjecture,
( in(esk8_2(X1,esk5_0),X1)
| in(esk8_2(X1,esk5_0),esk4_0)
| X1 = esk5_0 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
esk4_0 != esk5_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_50,negated_conjecture,
( ~ in(esk8_2(X1,esk5_0),X1)
| ~ in(esk8_2(X1,esk5_0),esk4_0)
| X1 = esk5_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
in(esk8_2(esk4_0,esk5_0),esk4_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_48]),c_0_49]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_51])]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU401+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.44 % Computer : n008.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Mon Sep 21 06:20:46 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/5.51 Running first-order theorem proving
% 0.20/5.51 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/benchmark/theBenchmark.p
% 0.20/5.62 % Version: 3.5.1
% 0.20/5.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/5.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/5.62 % Starting new_bool_3 with 300s (1) cores
% 0.20/5.62 % Starting new_bool_1 with 300s (1) cores
% 0.20/5.62 % Starting sh5l with 300s (1) cores
% 0.20/5.62 % new_bool_1 with pid 325030 completed with status 0
% 0.20/5.62 % Result found by new_bool_1
% 0.20/5.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/5.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/5.62 % Starting new_bool_3 with 300s (1) cores
% 0.20/5.62 % Starting new_bool_1 with 300s (1) cores
% 0.20/5.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/5.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/5.62 % Search class: FGHSS-FSLM32-MFFFFFNN
% 0.20/5.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/5.62 % Starting SubtermCWHack with 31s (1) cores
% 0.20/5.62 % SubtermCWHack with pid 325033 completed with status 0
% 0.20/5.62 % Result found by SubtermCWHack
% 0.20/5.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/5.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/5.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/5.62 % Starting new_bool_3 with 300s (1) cores
% 0.20/5.62 % Starting new_bool_1 with 300s (1) cores
% 0.20/5.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/5.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/5.62 % Search class: FGHSS-FSLM32-MFFFFFNN
% 0.20/5.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/5.62 % Starting SubtermCWHack with 31s (1) cores
% 0.20/5.62 % Preprocessing time : 0.002 s
% 0.20/5.62
% 0.20/5.62 % Proof found!
% 0.20/5.62 % SZS status Theorem
% 0.20/5.62 % SZS output start CNFRefutation
% See solution above
% 0.20/5.62 % Parsed axioms : 69
% 0.20/5.62 % Removed by relevancy pruning/SinE : 25
% 0.20/5.62 % Initial clauses : 109
% 0.20/5.62 % Removed in clause preprocessing : 0
% 0.20/5.62 % Initial clauses in saturation : 109
% 0.20/5.62 % Processed clauses : 652
% 0.20/5.62 % ...of these trivial : 0
% 0.20/5.62 % ...subsumed : 293
% 0.20/5.62 % ...remaining for further processing : 359
% 0.20/5.62 % Other redundant clauses eliminated : 6
% 0.20/5.62 % Clauses deleted for lack of memory : 0
% 0.20/5.62 % Backward-subsumed : 1
% 0.20/5.62 % Backward-rewritten : 12
% 0.20/5.62 % Generated clauses : 897
% 0.20/5.62 % ...of the previous two non-redundant : 827
% 0.20/5.62 % ...aggressively subsumed : 0
% 0.20/5.62 % Contextual simplify-reflections : 29
% 0.20/5.62 % Paramodulations : 887
% 0.20/5.62 % Factorizations : 4
% 0.20/5.62 % NegExts : 0
% 0.20/5.62 % Equation resolutions : 10
% 0.20/5.62 % Disequality decompositions : 0
% 0.20/5.62 % Total rewrite steps : 255
% 0.20/5.62 % ...of those cached : 246
% 0.20/5.62 % Propositional unsat checks : 0
% 0.20/5.62 % Propositional check models : 0
% 0.20/5.62 % Propositional check unsatisfiable : 0
% 0.20/5.62 % Propositional clauses : 0
% 0.20/5.62 % Propositional clauses after purity: 0
% 0.20/5.62 % Propositional unsat core size : 0
% 0.20/5.62 % Propositional preprocessing time : 0.000
% 0.20/5.62 % Propositional encoding time : 0.000
% 0.20/5.62 % Propositional solver time : 0.000
% 0.20/5.62 % Success case prop preproc time : 0.000
% 0.20/5.62 % Success case prop encoding time : 0.000
% 0.20/5.62 % Success case prop solver time : 0.000
% 0.20/5.62 % Current number of processed clauses : 344
% 0.20/5.62 % Positive orientable unit clauses : 19
% 0.20/5.62 % Positive unorientable unit clauses: 0
% 0.20/5.62 % Negative unit clauses : 9
% 0.20/5.62 % Non-unit-clauses : 316
% 0.20/5.62 % Current number of unprocessed clauses: 275
% 0.20/5.62 % ...number of literals in the above : 1829
% 0.20/5.62 % Current number of archived formulas : 0
% 0.20/5.62 % Current number of archived clauses : 13
% 0.20/5.62 % Clause-clause subsumption calls (NU) : 34756
% 0.20/5.62 % Rec. Clause-clause subsumption calls : 9067
% 0.20/5.62 % Non-unit clause-clause subsumptions : 316
% 0.20/5.62 % Unit Clause-clause subsumption calls : 195
% 0.20/5.62 % Rewrite failures with RHS unbound : 0
% 0.20/5.62 % BW rewrite match attempts : 2
% 0.20/5.62 % BW rewrite match successes : 2
% 0.20/5.62 % Condensation attempts : 0
% 0.20/5.62 % Condensation successes : 0
% 0.20/5.62 % Termbank termtop insertions : 33883
% 0.20/5.62 % Search garbage collected termcells : 1795
% 0.20/5.62
% 0.20/5.62 % -------------------------------------------------
% 0.20/5.62 % User time : 0.070 s
% 0.20/5.62 % System time : 0.005 s
% 0.20/5.62 % Total time : 0.075 s
% 0.20/5.62 % Maximum resident set size: 3976 pages
% 0.20/5.62
% 0.20/5.62 % -------------------------------------------------
% 0.20/5.62 % User time : 0.076 s
% 0.20/5.62 % System time : 0.011 s
% 0.20/5.62 % Total time : 0.087 s
% 0.20/5.62 % Maximum resident set size: 4864 pages
% 0.20/5.62 % E exiting
%------------------------------------------------------------------------------