%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU310+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 : n015.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 02:28:56 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 50 ( 8 unt; 0 def)
% Number of atoms : 334 ( 70 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 480 ( 196 ~; 239 |; 37 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 89 ( 0 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e2_37_1_1__pre_topc__1,axiom,
! [X1,X2] :
( ( element(X2,powerset(powerset(the_carrier(X1))))
& top_str(X1)
& topological_space(X1) )
=> ( ! [X3,X4,X5] :
( ( in(set_difference(cast_as_carrier_subset(X1),X5),X2)
& X3 = X5
& in(set_difference(cast_as_carrier_subset(X1),X4),X2)
& X3 = X4 )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(set_difference(cast_as_carrier_subset(X1),X4),X2)
& X5 = X4
& in(X5,powerset(the_carrier(X1))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e2_37_1_1__pre_topc__1) ).
fof(s1_xboole_0__e2_37_1_1__pre_topc__1,conjecture,
! [X1,X2] :
( ( element(X2,powerset(powerset(the_carrier(X1))))
& top_str(X1)
& topological_space(X1) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(set_difference(cast_as_carrier_subset(X1),X4),X2)
& in(X4,powerset(the_carrier(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(c_0_2,plain,
! [X58,X59,X64,X66,X67] :
( ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk9_2(X58,X59) != esk10_2(X58,X59)
| in(X66,esk11_2(X58,X59))
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| X67 != X66
| ~ in(X67,powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk9_2(X58,X59) != esk10_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),X64),X59) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk9_2(X58,X59) != esk10_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| esk12_3(X58,X59,X64) = X64 )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk9_2(X58,X59) != esk10_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| in(esk12_3(X58,X59,X64),powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| in(set_difference(cast_as_carrier_subset(X58),esk10_2(X58,X59)),X59)
| in(X66,esk11_2(X58,X59))
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| X67 != X66
| ~ in(X67,powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| in(set_difference(cast_as_carrier_subset(X58),esk10_2(X58,X59)),X59)
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),X64),X59) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| in(set_difference(cast_as_carrier_subset(X58),esk10_2(X58,X59)),X59)
| ~ in(X64,esk11_2(X58,X59))
| esk12_3(X58,X59,X64) = X64 )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| in(set_difference(cast_as_carrier_subset(X58),esk10_2(X58,X59)),X59)
| ~ in(X64,esk11_2(X58,X59))
| in(esk12_3(X58,X59,X64),powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk8_2(X58,X59) = esk10_2(X58,X59)
| in(X66,esk11_2(X58,X59))
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| X67 != X66
| ~ in(X67,powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk8_2(X58,X59) = esk10_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),X64),X59) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk8_2(X58,X59) = esk10_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| esk12_3(X58,X59,X64) = X64 )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk8_2(X58,X59) = esk10_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| in(esk12_3(X58,X59,X64),powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| in(set_difference(cast_as_carrier_subset(X58),esk9_2(X58,X59)),X59)
| in(X66,esk11_2(X58,X59))
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| X67 != X66
| ~ in(X67,powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| in(set_difference(cast_as_carrier_subset(X58),esk9_2(X58,X59)),X59)
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),X64),X59) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| in(set_difference(cast_as_carrier_subset(X58),esk9_2(X58,X59)),X59)
| ~ in(X64,esk11_2(X58,X59))
| esk12_3(X58,X59,X64) = X64 )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| in(set_difference(cast_as_carrier_subset(X58),esk9_2(X58,X59)),X59)
| ~ in(X64,esk11_2(X58,X59))
| in(esk12_3(X58,X59,X64),powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk8_2(X58,X59) = esk9_2(X58,X59)
| in(X66,esk11_2(X58,X59))
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| X67 != X66
| ~ in(X67,powerset(the_carrier(X58))) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk8_2(X58,X59) = esk9_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),X64),X59) )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk8_2(X58,X59) = esk9_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| esk12_3(X58,X59,X64) = X64 )
& ( ~ element(X59,powerset(powerset(the_carrier(X58))))
| ~ top_str(X58)
| ~ topological_space(X58)
| esk8_2(X58,X59) = esk9_2(X58,X59)
| ~ in(X64,esk11_2(X58,X59))
| in(esk12_3(X58,X59,X64),powerset(the_carrier(X58))) ) ),
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)],[s1_tarski__e2_37_1_1__pre_topc__1])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ( element(X2,powerset(powerset(the_carrier(X1))))
& top_str(X1)
& topological_space(X1) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(set_difference(cast_as_carrier_subset(X1),X4),X2)
& in(X4,powerset(the_carrier(X1))) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
cnf(c_0_4,plain,
( ~ element(X4,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| X1 != X3
| ~ in(X1,powerset(the_carrier(X2)))
| esk8_2(X2,X4) = esk9_2(X2,X4)
| in(X3,esk11_2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X8] :
( ( in(esk3_1(X8),X8)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X8)),esk2_0) )
& ( in(esk3_1(X8),X8)
| in(esk3_1(X8),powerset(the_carrier(esk1_0))) )
& ( ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X8)),esk2_0)
| ~ in(esk3_1(X8),powerset(the_carrier(esk1_0)))
| ~ in(esk3_1(X8),X8) )
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& top_str(esk1_0)
& topological_space(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
cnf(c_0_6,plain,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X3,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
| in(X3,esk11_2(X1,X2))
| esk8_2(X1,X2) = esk9_2(X1,X2) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk3_1(X1),X1)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk11_2(X1,X2))
| esk8_2(X1,X2) = esk9_2(X1,X2)
| esk12_3(X1,X2,X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,plain,
( ~ element(X3,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X2,esk11_2(X1,X3))
| esk8_2(X1,X3) = esk9_2(X1,X3)
| in(set_difference(cast_as_carrier_subset(X1),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( ~ in(X1,esk11_2(esk1_0,esk2_0))
| esk12_3(esk1_0,esk2_0,X1) = X1
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_16,negated_conjecture,
( ~ in(X1,esk11_2(esk1_0,esk2_0))
| in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_17,negated_conjecture,
( in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(ef,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk11_2(X1,X2))
| esk8_2(X1,X2) = esk9_2(X1,X2)
| in(esk12_3(X1,X2,X3),powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_20,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk11_2(X1,X2))
| esk8_2(X1,X2) = esk10_2(X1,X2)
| esk12_3(X1,X2,X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_22,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0)
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_24,plain,
( ~ element(X3,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X2,esk11_2(X1,X3))
| esk8_2(X1,X3) = esk10_2(X1,X3)
| in(set_difference(cast_as_carrier_subset(X1),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(X1,esk11_2(esk1_0,esk2_0))
| esk12_3(esk1_0,esk2_0,X1) = X1
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_26,negated_conjecture,
esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_17]),c_0_23]) ).
cnf(c_0_27,plain,
( ~ element(X4,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| X1 != X3
| ~ in(X1,powerset(the_carrier(X2)))
| esk8_2(X2,X4) = esk10_2(X2,X4)
| in(X3,esk11_2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( ~ in(X1,esk11_2(esk1_0,esk2_0))
| in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_29,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk11_2(X1,X2))
| esk8_2(X1,X2) = esk10_2(X1,X2)
| in(esk12_3(X1,X2,X3),powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( ~ in(X1,esk11_2(esk1_0,esk2_0))
| esk12_3(esk1_0,esk2_0,X1) = X1
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ in(X3,powerset(the_carrier(X1)))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
| in(X3,esk11_2(X1,X2))
| esk8_2(X1,X2) = esk10_2(X1,X2) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( ~ in(X1,esk11_2(esk1_0,esk2_0))
| in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( ~ in(X1,esk11_2(esk1_0,esk2_0))
| in(X1,powerset(the_carrier(esk1_0)))
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_26]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_34,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_7]),c_0_26]),c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_35,plain,
( ~ element(X4,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| esk9_2(X2,X4) != esk10_2(X2,X4)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| X1 != X3
| ~ in(X1,powerset(the_carrier(X2)))
| in(X3,esk11_2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_32]),c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X1,powerset(the_carrier(X2)))
| ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
| esk10_2(X2,X3) != esk9_2(X2,X3)
| in(X1,esk11_2(X2,X3)) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_37]) ).
cnf(c_0_40,plain,
( ~ element(X3,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| esk9_2(X1,X3) != esk10_2(X1,X3)
| ~ in(X2,esk11_2(X1,X3))
| in(set_difference(cast_as_carrier_subset(X1),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| in(esk12_3(X1,X2,X3),powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| esk12_3(X1,X2,X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_43,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),esk11_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_7]),c_0_39]),c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_44,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| esk10_2(esk1_0,esk2_0) != esk9_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_40]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_45,plain,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X1,esk11_2(X2,X3))
| esk10_2(X2,X3) != esk9_2(X2,X3)
| in(X1,powerset(the_carrier(X2))) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_39])]) ).
cnf(c_0_48,negated_conjecture,
in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_46]),c_0_46])]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU310+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 06:13:38 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.45 % Version: 3.5.1
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 733651 completed with status 0
% 0.12/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGHSS-FFMM31-MFFFFFNN
% 0.12/0.45 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.12/0.45 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.45 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 0.12/0.45 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 0.12/0.45 % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 0.12/0.45 % SubtermCWHack with pid 733657 completed with status 0
% 0.12/0.45 % Result found by SubtermCWHack
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGHSS-FFMM31-MFFFFFNN
% 0.12/0.45 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.12/0.45 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Preprocessing time : 0.001 s
% 0.12/0.45
% 0.12/0.45 % Proof found!
% 0.12/0.45 % SZS status Theorem
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 36
% 0.12/0.45 % Removed by relevancy pruning/SinE : 0
% 0.12/0.45 % Initial clauses : 102
% 0.12/0.45 % Removed in clause preprocessing : 5
% 0.12/0.45 % Initial clauses in saturation : 97
% 0.12/0.45 % Processed clauses : 345
% 0.12/0.45 % ...of these trivial : 2
% 0.12/0.45 % ...subsumed : 23
% 0.12/0.45 % ...remaining for further processing : 319
% 0.12/0.45 % Other redundant clauses eliminated : 5
% 0.12/0.45 % Clauses deleted for lack of memory : 0
% 0.12/0.45 % Backward-subsumed : 18
% 0.12/0.45 % Backward-rewritten : 30
% 0.12/0.45 % Generated clauses : 444
% 0.12/0.45 % ...of the previous two non-redundant : 409
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 9
% 0.12/0.45 % Paramodulations : 431
% 0.12/0.45 % Factorizations : 8
% 0.12/0.45 % NegExts : 0
% 0.12/0.45 % Equation resolutions : 5
% 0.12/0.45 % Disequality decompositions : 0
% 0.12/0.45 % Total rewrite steps : 249
% 0.12/0.45 % ...of those cached : 236
% 0.12/0.45 % Propositional unsat checks : 0
% 0.12/0.45 % Propositional check models : 0
% 0.12/0.45 % Propositional check unsatisfiable : 0
% 0.12/0.45 % Propositional clauses : 0
% 0.12/0.45 % Propositional clauses after purity: 0
% 0.12/0.45 % Propositional unsat core size : 0
% 0.12/0.45 % Propositional preprocessing time : 0.000
% 0.12/0.45 % Propositional encoding time : 0.000
% 0.12/0.45 % Propositional solver time : 0.000
% 0.12/0.45 % Success case prop preproc time : 0.000
% 0.12/0.45 % Success case prop encoding time : 0.000
% 0.12/0.45 % Success case prop solver time : 0.000
% 0.12/0.45 % Current number of processed clauses : 266
% 0.12/0.45 % Positive orientable unit clauses : 20
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 5
% 0.12/0.45 % Non-unit-clauses : 241
% 0.12/0.45 % Current number of unprocessed clauses: 103
% 0.12/0.45 % ...number of literals in the above : 574
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 48
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 37628
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 14305
% 0.12/0.45 % Non-unit clause-clause subsumptions : 46
% 0.12/0.45 % Unit Clause-clause subsumption calls : 43
% 0.12/0.45 % Rewrite failures with RHS unbound : 0
% 0.12/0.45 % BW rewrite match attempts : 3
% 0.12/0.45 % BW rewrite match successes : 3
% 0.12/0.45 % Condensation attempts : 0
% 0.12/0.45 % Condensation successes : 0
% 0.12/0.45 % Termbank termtop insertions : 17537
% 0.12/0.45 % Search garbage collected termcells : 987
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.023 s
% 0.12/0.45 % System time : 0.002 s
% 0.12/0.45 % Total time : 0.025 s
% 0.12/0.45 % Maximum resident set size: 3668 pages
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.088 s
% 0.12/0.45 % System time : 0.013 s
% 0.12/0.45 % Total time : 0.101 s
% 0.12/0.45 % Maximum resident set size: 4608 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------