%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU310+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 02:24:40 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 48 ( 8 unt; 0 def)
% Number of atoms : 331 ( 68 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 482 ( 199 ~; 238 |; 37 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 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 : 88 ( 0 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
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/sandbox2/benchmark/theBenchmark.p',s1_tarski__e2_37_1_1__pre_topc__1) ).
fof(c_0_2,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]) ).
fof(c_0_3,plain,
! [X12,X13,X18,X20,X21] :
( ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk5_2(X12,X13) != esk6_2(X12,X13)
| in(X20,esk7_2(X12,X13))
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| X21 != X20
| ~ in(X21,powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk5_2(X12,X13) != esk6_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),X18),X13) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk5_2(X12,X13) != esk6_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| esk8_3(X12,X13,X18) = X18 )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk5_2(X12,X13) != esk6_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| in(esk8_3(X12,X13,X18),powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| in(set_difference(cast_as_carrier_subset(X12),esk6_2(X12,X13)),X13)
| in(X20,esk7_2(X12,X13))
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| X21 != X20
| ~ in(X21,powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| in(set_difference(cast_as_carrier_subset(X12),esk6_2(X12,X13)),X13)
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),X18),X13) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| in(set_difference(cast_as_carrier_subset(X12),esk6_2(X12,X13)),X13)
| ~ in(X18,esk7_2(X12,X13))
| esk8_3(X12,X13,X18) = X18 )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| in(set_difference(cast_as_carrier_subset(X12),esk6_2(X12,X13)),X13)
| ~ in(X18,esk7_2(X12,X13))
| in(esk8_3(X12,X13,X18),powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk4_2(X12,X13) = esk6_2(X12,X13)
| in(X20,esk7_2(X12,X13))
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| X21 != X20
| ~ in(X21,powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk4_2(X12,X13) = esk6_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),X18),X13) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk4_2(X12,X13) = esk6_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| esk8_3(X12,X13,X18) = X18 )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk4_2(X12,X13) = esk6_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| in(esk8_3(X12,X13,X18),powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| in(set_difference(cast_as_carrier_subset(X12),esk5_2(X12,X13)),X13)
| in(X20,esk7_2(X12,X13))
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| X21 != X20
| ~ in(X21,powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| in(set_difference(cast_as_carrier_subset(X12),esk5_2(X12,X13)),X13)
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),X18),X13) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| in(set_difference(cast_as_carrier_subset(X12),esk5_2(X12,X13)),X13)
| ~ in(X18,esk7_2(X12,X13))
| esk8_3(X12,X13,X18) = X18 )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| in(set_difference(cast_as_carrier_subset(X12),esk5_2(X12,X13)),X13)
| ~ in(X18,esk7_2(X12,X13))
| in(esk8_3(X12,X13,X18),powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk4_2(X12,X13) = esk5_2(X12,X13)
| in(X20,esk7_2(X12,X13))
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| X21 != X20
| ~ in(X21,powerset(the_carrier(X12))) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk4_2(X12,X13) = esk5_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),X18),X13) )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk4_2(X12,X13) = esk5_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| esk8_3(X12,X13,X18) = X18 )
& ( ~ element(X13,powerset(powerset(the_carrier(X12))))
| ~ top_str(X12)
| ~ topological_space(X12)
| esk4_2(X12,X13) = esk5_2(X12,X13)
| ~ in(X18,esk7_2(X12,X13))
| in(esk8_3(X12,X13,X18),powerset(the_carrier(X12))) ) ),
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_4,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_2])])])])])]) ).
cnf(c_0_5,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)))
| esk4_2(X2,X4) = esk5_2(X2,X4)
| in(X3,esk7_2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk7_2(X1,X2))
| esk4_2(X1,X2) = esk5_2(X1,X2)
| esk8_3(X1,X2,X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,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,esk7_2(X1,X2))
| esk4_2(X1,X2) = esk5_2(X1,X2) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_11,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_4]) ).
cnf(c_0_12,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( ~ in(X1,esk7_2(esk1_0,esk2_0))
| esk8_3(esk1_0,esk2_0,X1) = X1
| esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0) ),
inference(cn,[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])]) ).
cnf(c_0_14,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_4]) ).
cnf(c_0_15,plain,
( ~ element(X3,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X2,esk7_2(X1,X3))
| esk4_2(X1,X3) = esk5_2(X1,X3)
| in(set_difference(cast_as_carrier_subset(X1),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| esk4_2(esk1_0,esk2_0) = esk5_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_10,c_0_11]),c_0_7]),c_0_8]),c_0_9])]),c_0_12]) ).
cnf(c_0_17,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk7_2(X1,X2))
| esk4_2(X1,X2) = esk5_2(X1,X2)
| in(esk8_3(X1,X2,X3),powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_18,negated_conjecture,
( in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| esk8_3(esk1_0,esk2_0,esk3_1(esk7_2(esk1_0,esk2_0))) = esk3_1(esk7_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_19,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk7_2(X1,X2))
| esk4_2(X1,X2) = esk6_2(X1,X2)
| esk8_3(X1,X2,X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| esk4_2(esk1_0,esk2_0) = esk5_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_14,c_0_15]),c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_21,negated_conjecture,
( in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0))
| esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0) ),
inference(ef,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| esk4_2(esk1_0,esk2_0) = esk5_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_17,c_0_18]),c_0_7]),c_0_8]),c_0_9])]),c_0_12]) ).
cnf(c_0_23,negated_conjecture,
( ~ in(X1,esk7_2(esk1_0,esk2_0))
| esk8_3(esk1_0,esk2_0,X1) = X1
| esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_24,negated_conjecture,
esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_21]),c_0_22]) ).
cnf(c_0_25,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)))
| esk4_2(X2,X4) = esk6_2(X2,X4)
| in(X3,esk7_2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,plain,
( ~ element(X3,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X2,esk7_2(X1,X3))
| esk4_2(X1,X3) = esk6_2(X1,X3)
| in(set_difference(cast_as_carrier_subset(X1),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,esk7_2(X1,X2))
| esk4_2(X1,X2) = esk6_2(X1,X2)
| in(esk8_3(X1,X2,X3),powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( ~ in(X1,esk7_2(esk1_0,esk2_0))
| esk8_3(esk1_0,esk2_0,X1) = X1
| esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,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,esk7_2(X1,X2))
| esk4_2(X1,X2) = esk6_2(X1,X2) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| esk4_2(esk1_0,esk2_0) = esk6_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_14,c_0_26]),c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_31,negated_conjecture,
( ~ in(X1,esk7_2(esk1_0,esk2_0))
| in(X1,powerset(the_carrier(esk1_0)))
| esk6_2(esk1_0,esk2_0) = esk5_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_27,c_0_28]),c_0_24]),c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_32,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| esk6_2(esk1_0,esk2_0) = esk5_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_29,c_0_11]),c_0_24]),c_0_7]),c_0_8]),c_0_9])]),c_0_12]) ).
cnf(c_0_33,plain,
( ~ element(X4,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| esk5_2(X2,X4) != esk6_2(X2,X4)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| X1 != X3
| ~ in(X1,powerset(the_carrier(X2)))
| in(X3,esk7_2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_34,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_24]),c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0))
| esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0) ),
inference(ef,[status(thm)],[c_0_32]) ).
cnf(c_0_36,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)
| esk6_2(X2,X3) != esk5_2(X2,X3)
| in(X1,esk7_2(X2,X3)) ),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_35]) ).
cnf(c_0_38,plain,
( ~ element(X3,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| esk5_2(X1,X3) != esk6_2(X1,X3)
| ~ in(X2,esk7_2(X1,X3))
| in(set_difference(cast_as_carrier_subset(X1),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_39,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| esk5_2(X1,X2) != esk6_2(X1,X2)
| ~ in(X3,esk7_2(X1,X2))
| in(esk8_3(X1,X2,X3),powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_40,plain,
( ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| esk5_2(X1,X2) != esk6_2(X1,X2)
| ~ in(X3,esk7_2(X1,X2))
| esk8_3(X1,X2,X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_41,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),esk7_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_36,c_0_11]),c_0_37]),c_0_7]),c_0_8]),c_0_9])]),c_0_12]) ).
cnf(c_0_42,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| esk6_2(esk1_0,esk2_0) != esk5_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_14,c_0_38]),c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_43,plain,
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ in(X1,esk7_2(X2,X3))
| esk6_2(X2,X3) != esk5_2(X2,X3)
| in(X1,powerset(the_carrier(X2))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_37])]) ).
cnf(c_0_46,negated_conjecture,
in(esk3_1(esk7_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_43,c_0_44]),c_0_37]),c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_47,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_45,c_0_44]),c_0_44])]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU310+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 06:10:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.11/0.46 % Version: 3.5.1
% 0.11/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.46 % Starting sh5l with 300s (1) cores
% 0.11/0.46 % new_bool_3 with pid 3306174 completed with status 0
% 0.11/0.46 % Result found by new_bool_3
% 0.11/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.46 % Search class: FGHSS-FFMM31-MFFFFFNN
% 0.11/0.46 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.11/0.46 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.46 % SubtermCWHack with pid 3306177 completed with status 0
% 0.11/0.46 % Result found by SubtermCWHack
% 0.11/0.46 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.46 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.46 % Search class: FGHSS-FFMM31-MFFFFFNN
% 0.11/0.46 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.11/0.46 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.46 % Preprocessing time : 0.001 s
% 0.11/0.46
% 0.11/0.46 % Proof found!
% 0.11/0.46 % SZS status Theorem
% 0.11/0.46 % SZS output start CNFRefutation
% See solution above
% 0.11/0.46 % Parsed axioms : 36
% 0.11/0.46 % Removed by relevancy pruning/SinE : 14
% 0.11/0.46 % Initial clauses : 77
% 0.11/0.46 % Removed in clause preprocessing : 0
% 0.11/0.46 % Initial clauses in saturation : 77
% 0.11/0.46 % Processed clauses : 207
% 0.11/0.46 % ...of these trivial : 2
% 0.11/0.46 % ...subsumed : 18
% 0.11/0.46 % ...remaining for further processing : 186
% 0.11/0.46 % Other redundant clauses eliminated : 5
% 0.11/0.46 % Clauses deleted for lack of memory : 0
% 0.11/0.46 % Backward-subsumed : 14
% 0.11/0.46 % Backward-rewritten : 26
% 0.11/0.46 % Generated clauses : 369
% 0.11/0.46 % ...of the previous two non-redundant : 326
% 0.11/0.46 % ...aggressively subsumed : 0
% 0.11/0.46 % Contextual simplify-reflections : 9
% 0.11/0.46 % Paramodulations : 356
% 0.11/0.46 % Factorizations : 8
% 0.11/0.46 % NegExts : 0
% 0.11/0.46 % Equation resolutions : 5
% 0.11/0.46 % Disequality decompositions : 0
% 0.11/0.46 % Total rewrite steps : 238
% 0.11/0.46 % ...of those cached : 224
% 0.11/0.46 % Propositional unsat checks : 0
% 0.11/0.46 % Propositional check models : 0
% 0.11/0.46 % Propositional check unsatisfiable : 0
% 0.11/0.46 % Propositional clauses : 0
% 0.11/0.46 % Propositional clauses after purity: 0
% 0.11/0.46 % Propositional unsat core size : 0
% 0.11/0.46 % Propositional preprocessing time : 0.000
% 0.11/0.46 % Propositional encoding time : 0.000
% 0.11/0.46 % Propositional solver time : 0.000
% 0.11/0.46 % Success case prop preproc time : 0.000
% 0.11/0.46 % Success case prop encoding time : 0.000
% 0.11/0.46 % Success case prop solver time : 0.000
% 0.11/0.46 % Current number of processed clauses : 141
% 0.11/0.46 % Positive orientable unit clauses : 20
% 0.11/0.46 % Positive unorientable unit clauses: 0
% 0.11/0.46 % Negative unit clauses : 5
% 0.11/0.46 % Non-unit-clauses : 116
% 0.11/0.46 % Current number of unprocessed clauses: 138
% 0.11/0.46 % ...number of literals in the above : 896
% 0.11/0.46 % Current number of archived formulas : 0
% 0.11/0.46 % Current number of archived clauses : 40
% 0.11/0.46 % Clause-clause subsumption calls (NU) : 9607
% 0.11/0.46 % Rec. Clause-clause subsumption calls : 2847
% 0.11/0.46 % Non-unit clause-clause subsumptions : 37
% 0.11/0.46 % Unit Clause-clause subsumption calls : 54
% 0.11/0.46 % Rewrite failures with RHS unbound : 0
% 0.11/0.46 % BW rewrite match attempts : 3
% 0.11/0.46 % BW rewrite match successes : 3
% 0.11/0.46 % Condensation attempts : 0
% 0.11/0.46 % Condensation successes : 0
% 0.11/0.46 % Termbank termtop insertions : 15531
% 0.11/0.46 % Search garbage collected termcells : 825
% 0.11/0.46
% 0.11/0.46 % -------------------------------------------------
% 0.11/0.46 % User time : 0.018 s
% 0.11/0.46 % System time : 0.002 s
% 0.11/0.46 % Total time : 0.020 s
% 0.11/0.46 % Maximum resident set size: 3668 pages
% 0.11/0.46
% 0.11/0.46 % -------------------------------------------------
% 0.11/0.46 % User time : 0.019 s
% 0.11/0.46 % System time : 0.004 s
% 0.11/0.46 % Total time : 0.024 s
% 0.11/0.46 % Maximum resident set size: 4608 pages
% 0.11/0.46 % E exiting
%------------------------------------------------------------------------------