%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU318+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 05:11:27 PM UTC 2026
% Result : Theorem 144.74s 60.92s
% Output : CNFRefutation 145.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 77 ( 15 unt; 0 def)
% Number of atoms : 321 ( 21 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 409 ( 165 ~; 176 |; 35 &)
% ( 5 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 133 ( 2 sgn 67 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t52_pre_topc,conjecture,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( ( closed_subset(X2,X1)
=> topstr_closure(X1,X2) = X2 )
& ( ( topological_space(X1)
& topstr_closure(X1,X2) = X2 )
=> closed_subset(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t46_pre_topc,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> ( closed_subset(X4,X1)
& subset(X2,X4) ) ) )
& topstr_closure(X1,X2) = meet_of_subsets(the_carrier(X1),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_pre_topc) ).
fof(t44_pre_topc,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(powerset(the_carrier(X1))))
=> ( ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( in(X3,X2)
=> closed_subset(X3,X1) ) )
=> closed_subset(meet_of_subsets(the_carrier(X1),X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_pre_topc) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> element(topstr_closure(X1,X2),powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t45_pre_topc,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( in(X3,the_carrier(X1))
=> ( in(X3,topstr_closure(X1,X2))
<=> ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( ( closed_subset(X4,X1)
& subset(X2,X4) )
=> in(X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_pre_topc) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t48_pre_topc,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset(X2,topstr_closure(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ( ( closed_subset(X2,X1)
=> topstr_closure(X1,X2) = X2 )
& ( ( topological_space(X1)
& topstr_closure(X1,X2) = X2 )
=> closed_subset(X2,X1) ) ) ) ),
inference(assume_negation,[status(cth)],[t52_pre_topc]) ).
fof(c_0_15,plain,
! [X165,X166,X167] :
( ~ in(X165,X166)
| ~ element(X166,powerset(X167))
| element(X165,X167) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_16,plain,
! [X159,X160,X162] :
( ( element(esk11_2(X159,X160),powerset(powerset(the_carrier(X159))))
| ~ element(X160,powerset(the_carrier(X159)))
| ~ topological_space(X159)
| ~ top_str(X159) )
& ( closed_subset(X162,X159)
| ~ in(X162,esk11_2(X159,X160))
| ~ element(X162,powerset(the_carrier(X159)))
| ~ element(X160,powerset(the_carrier(X159)))
| ~ topological_space(X159)
| ~ top_str(X159) )
& ( subset(X160,X162)
| ~ in(X162,esk11_2(X159,X160))
| ~ element(X162,powerset(the_carrier(X159)))
| ~ element(X160,powerset(the_carrier(X159)))
| ~ topological_space(X159)
| ~ top_str(X159) )
& ( ~ closed_subset(X162,X159)
| ~ subset(X160,X162)
| in(X162,esk11_2(X159,X160))
| ~ element(X162,powerset(the_carrier(X159)))
| ~ element(X160,powerset(the_carrier(X159)))
| ~ topological_space(X159)
| ~ top_str(X159) )
& ( topstr_closure(X159,X160) = meet_of_subsets(the_carrier(X159),esk11_2(X159,X160))
| ~ element(X160,powerset(the_carrier(X159)))
| ~ topological_space(X159)
| ~ top_str(X159) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_pre_topc])])])])]) ).
fof(c_0_17,negated_conjecture,
( top_str(esk12_0)
& element(esk13_0,powerset(the_carrier(esk12_0)))
& ( topological_space(esk12_0)
| closed_subset(esk13_0,esk12_0) )
& ( topstr_closure(esk12_0,esk13_0) = esk13_0
| closed_subset(esk13_0,esk12_0) )
& ( ~ closed_subset(esk13_0,esk12_0)
| closed_subset(esk13_0,esk12_0) )
& ( topological_space(esk12_0)
| topstr_closure(esk12_0,esk13_0) != esk13_0 )
& ( topstr_closure(esk12_0,esk13_0) = esk13_0
| topstr_closure(esk12_0,esk13_0) != esk13_0 )
& ( ~ closed_subset(esk13_0,esk12_0)
| topstr_closure(esk12_0,esk13_0) != esk13_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_18,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( element(esk11_2(X1,X2),powerset(powerset(the_carrier(X1))))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( closed_subset(X1,X2)
| ~ in(X1,esk11_2(X2,X3))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ topological_space(X2)
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
element(esk13_0,powerset(the_carrier(esk12_0))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
top_str(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( element(X1,powerset(the_carrier(X2)))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X1,esk11_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_24,plain,
! [X151,X152] :
( ( element(esk9_2(X151,X152),powerset(the_carrier(X151)))
| closed_subset(meet_of_subsets(the_carrier(X151),X152),X151)
| ~ element(X152,powerset(powerset(the_carrier(X151))))
| ~ topological_space(X151)
| ~ top_str(X151) )
& ( in(esk9_2(X151,X152),X152)
| closed_subset(meet_of_subsets(the_carrier(X151),X152),X151)
| ~ element(X152,powerset(powerset(the_carrier(X151))))
| ~ topological_space(X151)
| ~ top_str(X151) )
& ( ~ closed_subset(esk9_2(X151,X152),X151)
| closed_subset(meet_of_subsets(the_carrier(X151),X152),X151)
| ~ element(X152,powerset(powerset(the_carrier(X151))))
| ~ topological_space(X151)
| ~ top_str(X151) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_pre_topc])])])])]) ).
fof(c_0_25,plain,
! [X149,X150] :
( ( ~ element(X149,powerset(X150))
| subset(X149,X150) )
& ( ~ subset(X149,X150)
| element(X149,powerset(X150)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_26,plain,
! [X125,X126] :
( ~ top_str(X125)
| ~ element(X126,powerset(the_carrier(X125)))
| element(topstr_closure(X125,X126),powerset(the_carrier(X125))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
cnf(c_0_27,negated_conjecture,
( closed_subset(X1,esk12_0)
| ~ topological_space(esk12_0)
| ~ element(X1,powerset(the_carrier(esk12_0)))
| ~ in(X1,esk11_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_28,negated_conjecture,
( element(X1,powerset(the_carrier(esk12_0)))
| ~ topological_space(esk12_0)
| ~ in(X1,esk11_2(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_22])]) ).
cnf(c_0_29,plain,
( in(esk9_2(X1,X2),X2)
| closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X119,X120,X121,X122,X123] :
( ( ~ subset(X119,X120)
| ~ in(X121,X119)
| in(X121,X120) )
& ( in(esk1_2(X122,X123),X122)
| subset(X122,X123) )
& ( ~ in(esk1_2(X122,X123),X123)
| subset(X122,X123) ) ),
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)],[d3_tarski])])])])])]) ).
cnf(c_0_31,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)
| ~ closed_subset(esk9_2(X1,X2),X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
( closed_subset(X1,esk12_0)
| ~ topological_space(esk12_0)
| ~ in(X1,esk11_2(esk12_0,esk13_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
( closed_subset(meet_of_subsets(the_carrier(X1),esk11_2(X1,X2)),X1)
| in(esk9_2(X1,esk11_2(X1,X2)),esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_29,c_0_19]) ).
fof(c_0_36,plain,
! [X154,X155,X156,X157] :
( ( ~ in(X156,topstr_closure(X154,X155))
| ~ element(X157,powerset(the_carrier(X154)))
| ~ closed_subset(X157,X154)
| ~ subset(X155,X157)
| in(X156,X157)
| ~ in(X156,the_carrier(X154))
| ~ element(X155,powerset(the_carrier(X154)))
| ~ top_str(X154) )
& ( element(esk10_3(X154,X155,X156),powerset(the_carrier(X154)))
| in(X156,topstr_closure(X154,X155))
| ~ in(X156,the_carrier(X154))
| ~ element(X155,powerset(the_carrier(X154)))
| ~ top_str(X154) )
& ( closed_subset(esk10_3(X154,X155,X156),X154)
| in(X156,topstr_closure(X154,X155))
| ~ in(X156,the_carrier(X154))
| ~ element(X155,powerset(the_carrier(X154)))
| ~ top_str(X154) )
& ( subset(X155,esk10_3(X154,X155,X156))
| in(X156,topstr_closure(X154,X155))
| ~ in(X156,the_carrier(X154))
| ~ element(X155,powerset(the_carrier(X154)))
| ~ top_str(X154) )
& ( ~ in(X156,esk10_3(X154,X155,X156))
| in(X156,topstr_closure(X154,X155))
| ~ in(X156,the_carrier(X154))
| ~ element(X155,powerset(the_carrier(X154)))
| ~ top_str(X154) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_pre_topc])])])])]) ).
fof(c_0_37,plain,
! [X145,X146] :
( ~ in(X145,X146)
| element(X145,X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_38,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( subset(topstr_closure(X1,X2),the_carrier(X1))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_40,plain,
! [X1] : ~ empty(powerset(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
cnf(c_0_41,plain,
( closed_subset(meet_of_subsets(the_carrier(X1),esk11_2(X1,X2)),X1)
| ~ closed_subset(esk9_2(X1,esk11_2(X1,X2)),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_33,c_0_19]) ).
cnf(c_0_42,plain,
( topstr_closure(X1,X2) = meet_of_subsets(the_carrier(X1),esk11_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_43,negated_conjecture,
( closed_subset(meet_of_subsets(the_carrier(esk12_0),esk11_2(esk12_0,esk13_0)),esk12_0)
| closed_subset(esk9_2(esk12_0,esk11_2(esk12_0,esk13_0)),esk12_0)
| ~ topological_space(esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_22]),c_0_21])]) ).
cnf(c_0_44,plain,
( in(X1,X4)
| ~ in(X1,topstr_closure(X2,X3))
| ~ element(X4,powerset(the_carrier(X2)))
| ~ closed_subset(X4,X2)
| ~ subset(X3,X4)
| ~ in(X1,the_carrier(X2))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( in(X1,the_carrier(X2))
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X1,topstr_closure(X2,X3)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_47,plain,
! [X147,X148] :
( ~ element(X147,X148)
| empty(X148)
| in(X147,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_48,plain,
! [X134] : ~ empty(powerset(X134)),
inference(variable_rename,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( closed_subset(topstr_closure(X1,X2),X1)
| ~ closed_subset(esk9_2(X1,esk11_2(X1,X2)),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( closed_subset(esk9_2(esk12_0,esk11_2(esk12_0,esk13_0)),esk12_0)
| closed_subset(topstr_closure(esk12_0,esk13_0),esk12_0)
| ~ topological_space(esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_22]),c_0_21])]) ).
cnf(c_0_51,plain,
( in(X1,X2)
| ~ closed_subset(X2,X3)
| ~ top_str(X3)
| ~ subset(X4,X2)
| ~ element(X4,powerset(the_carrier(X3)))
| ~ in(X2,powerset(the_carrier(X3)))
| ~ in(X1,topstr_closure(X3,X4))
| ~ in(X1,the_carrier(X3)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( in(X1,the_carrier(esk12_0))
| ~ in(X1,topstr_closure(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_21]),c_0_22])]) ).
cnf(c_0_53,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( closed_subset(topstr_closure(esk12_0,esk13_0),esk12_0)
| ~ topological_space(esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_22]),c_0_21])]) ).
cnf(c_0_56,negated_conjecture,
( topstr_closure(esk12_0,esk13_0) = esk13_0
| closed_subset(esk13_0,esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_57,negated_conjecture,
( topological_space(esk12_0)
| closed_subset(esk13_0,esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_58,plain,
! [X144] : subset(X144,X144),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_59,plain,
! [X163,X164] :
( ~ top_str(X163)
| ~ element(X164,powerset(the_carrier(X163)))
| subset(X164,topstr_closure(X163,X164)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_pre_topc])])]) ).
cnf(c_0_60,negated_conjecture,
( in(X1,X2)
| ~ closed_subset(X2,esk12_0)
| ~ subset(esk13_0,X2)
| ~ in(X2,powerset(the_carrier(esk12_0)))
| ~ in(X1,topstr_closure(esk12_0,esk13_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_21]),c_0_22])]),c_0_52]) ).
cnf(c_0_61,negated_conjecture,
in(esk13_0,powerset(the_carrier(esk12_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_21]),c_0_54]) ).
cnf(c_0_62,negated_conjecture,
closed_subset(esk13_0,esk12_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_63,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_64,plain,
! [X117,X118] :
( ( subset(X117,X118)
| X117 != X118 )
& ( subset(X118,X117)
| X117 != X118 )
& ( ~ subset(X117,X118)
| ~ subset(X118,X117)
| X117 = X118 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_65,plain,
( subset(X2,topstr_closure(X1,X2))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( in(X1,esk13_0)
| ~ in(X1,topstr_closure(esk12_0,esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_67,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_68,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,negated_conjecture,
subset(esk13_0,topstr_closure(esk12_0,esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_21]),c_0_22])]) ).
cnf(c_0_70,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_71,negated_conjecture,
( subset(topstr_closure(esk12_0,esk13_0),X1)
| in(esk1_2(topstr_closure(esk12_0,esk13_0),X1),esk13_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( ~ closed_subset(esk13_0,esk12_0)
| topstr_closure(esk12_0,esk13_0) != esk13_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_73,negated_conjecture,
( topstr_closure(esk12_0,esk13_0) = esk13_0
| ~ subset(topstr_closure(esk12_0,esk13_0),esk13_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
subset(topstr_closure(esk12_0,esk13_0),esk13_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
topstr_closure(esk12_0,esk13_0) != esk13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_62])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]),c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU318+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n019.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 02:56:59 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 144.74/60.92 % Version : CSE_E---1.7
% 144.74/60.92 % Problem : theBenchmark.p
% 144.74/60.92 % SZS status Theorem for theBenchmark.p
% 144.74/60.92 % SZS output start CNFRefutation
% See solution above
% 145.14/61.31 % Total time : 46.796s
%------------------------------------------------------------------------------