%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU401+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 : 300s
% DateTime : Tue May 5 05:12:10 PM UTC 2026
% Result : Theorem 1.43s 1.77s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 52 ( 5 unt; 0 def)
% Number of atoms : 257 ( 58 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 333 ( 128 ~; 124 |; 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 : 225 ( 26 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/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,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,
! [X295,X296,X297,X298,X299,X300,X303,X304,X305,X306,X309,X310,X311] :
( ( in(X300,the_carrier(X299))
| ~ in(X300,X297)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( netstr_induced_subset(esk27_6(X295,X296,X297,X298,X299,X300),X295,X299)
| ~ in(X300,X297)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( element(esk28_6(X295,X296,X297,X298,X299,X300),the_carrier(X299))
| ~ in(X300,X297)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( X298 = topstr_closure(X295,esk27_6(X295,X296,X297,X298,X299,X300))
| ~ in(X300,X297)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( X300 = esk28_6(X295,X296,X297,X298,X299,X300)
| ~ in(X300,X297)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( esk27_6(X295,X296,X297,X298,X299,X300) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X295,X299,esk28_6(X295,X296,X297,X298,X299,X300))),the_carrier(X295),the_mapping(X295,subnetstr_of_element(X295,X299,esk28_6(X295,X296,X297,X298,X299,X300))))
| ~ in(X300,X297)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( ~ in(X303,the_carrier(X299))
| ~ netstr_induced_subset(X304,X295,X299)
| ~ element(X305,the_carrier(X299))
| X298 != topstr_closure(X295,X304)
| X303 != X305
| X304 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X295,X299,X305)),the_carrier(X295),the_mapping(X295,subnetstr_of_element(X295,X299,X305)))
| in(X303,X297)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( in(X306,the_carrier(X299))
| ~ in(X306,X296)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( netstr_induced_subset(esk29_6(X295,X296,X297,X298,X299,X306),X295,X299)
| ~ in(X306,X296)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( element(esk30_6(X295,X296,X297,X298,X299,X306),the_carrier(X299))
| ~ in(X306,X296)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( X298 = topstr_closure(X295,esk29_6(X295,X296,X297,X298,X299,X306))
| ~ in(X306,X296)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( X306 = esk30_6(X295,X296,X297,X298,X299,X306)
| ~ in(X306,X296)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( esk29_6(X295,X296,X297,X298,X299,X306) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X295,X299,esk30_6(X295,X296,X297,X298,X299,X306))),the_carrier(X295),the_mapping(X295,subnetstr_of_element(X295,X299,esk30_6(X295,X296,X297,X298,X299,X306))))
| ~ in(X306,X296)
| ~ epred1_5(X299,X298,X297,X296,X295) )
& ( ~ in(X309,the_carrier(X299))
| ~ netstr_induced_subset(X310,X295,X299)
| ~ element(X311,the_carrier(X299))
| X298 != topstr_closure(X295,X310)
| X309 != X311
| X310 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X295,X299,X311)),the_carrier(X295),the_mapping(X295,subnetstr_of_element(X295,X299,X311)))
| in(X309,X296)
| ~ epred1_5(X299,X298,X297,X296,X295) ) ),
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,
( 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_9,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_10,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_11,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_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,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_14,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_8,c_0_9]) ).
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_10]) ).
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,
( 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_11,c_0_9]) ).
cnf(c_0_18,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_19,plain,
( in(X1,X2)
| ~ 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)
| ~ element(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)
| ~ in(X1,the_carrier(X3)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])]) ).
cnf(c_0_20,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_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,
( 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_17,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( element(X1,the_carrier(esk2_0))
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
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)
| ~ epred1_5(esk2_0,esk3_0,X2,X3,esk1_0)
| ~ in(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]) ).
fof(c_0_27,plain,
! [X292,X293] :
( ( ~ in(esk26_2(X292,X293),X292)
| ~ in(esk26_2(X292,X293),X293)
| X292 = X293 )
& ( in(esk26_2(X292,X293),X292)
| in(esk26_2(X292,X293),X293)
| X292 = X293 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(c_0_28,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_29,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_30,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_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,esk4_0)
| ~ in(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_33,plain,
( in(esk26_2(X1,X2),X1)
| in(esk26_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,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_35,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_28,c_0_29]) ).
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,
( 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_30,c_0_29]) ).
cnf(c_0_38,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_39,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_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
esk4_0 != esk5_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,plain,
( in(X1,X2)
| ~ 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)
| ~ element(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)
| ~ in(X1,the_carrier(X3)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])])]) ).
cnf(c_0_42,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_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,
( 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_37,c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( element(X1,the_carrier(esk2_0))
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_15]) ).
cnf(c_0_46,plain,
( X1 = X2
| ~ in(esk26_2(X1,X2),X1)
| ~ in(esk26_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_47,negated_conjecture,
in(esk26_2(esk5_0,esk4_0),esk4_0),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_39]),c_0_40]) ).
cnf(c_0_48,plain,
( in(X1,X2)
| ~ epred1_5(esk2_0,esk3_0,X3,X2,esk1_0)
| ~ in(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_49,negated_conjecture,
~ in(esk26_2(esk5_0,esk4_0),esk5_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( in(X1,esk5_0)
| ~ in(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_15]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU401+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n031.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 03:04:08 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.43/1.77 % Version : CSE_E---1.7
% 1.43/1.77 % Problem : theBenchmark.p
% 1.43/1.77 % SZS status Theorem for theBenchmark.p
% 1.43/1.77 % SZS output start CNFRefutation
% See solution above
% 1.43/1.77 % Total time : 1.371s
%------------------------------------------------------------------------------