%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU310+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 : n017.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 05:11:26 PM UTC 2026
% Result : Theorem 1.46s 1.77s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 59 ( 7 unt; 0 def)
% Number of atoms : 360 ( 80 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 507 ( 206 ~; 256 |; 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 : 94 ( 0 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e2_37_1_1__pre_topc__1,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X2)
& X3 = X5
& in(set_difference(cast_as_carrier_subset(X1),X5),X2) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(the_carrier(X1)))
& X5 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/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] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(c_0_2,plain,
! [X118,X119,X124,X126,X127] :
( ( in(esk12_3(X118,X119,X124),powerset(the_carrier(X118)))
| ~ in(X124,esk11_2(X118,X119))
| esk8_2(X118,X119) = esk9_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( esk12_3(X118,X119,X124) = X124
| ~ in(X124,esk11_2(X118,X119))
| esk8_2(X118,X119) = esk9_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(set_difference(cast_as_carrier_subset(X118),X124),X119)
| ~ in(X124,esk11_2(X118,X119))
| esk8_2(X118,X119) = esk9_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( ~ in(X127,powerset(the_carrier(X118)))
| X127 != X126
| ~ in(set_difference(cast_as_carrier_subset(X118),X126),X119)
| in(X126,esk11_2(X118,X119))
| esk8_2(X118,X119) = esk9_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(esk12_3(X118,X119,X124),powerset(the_carrier(X118)))
| ~ in(X124,esk11_2(X118,X119))
| in(set_difference(cast_as_carrier_subset(X118),esk9_2(X118,X119)),X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( esk12_3(X118,X119,X124) = X124
| ~ in(X124,esk11_2(X118,X119))
| in(set_difference(cast_as_carrier_subset(X118),esk9_2(X118,X119)),X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(set_difference(cast_as_carrier_subset(X118),X124),X119)
| ~ in(X124,esk11_2(X118,X119))
| in(set_difference(cast_as_carrier_subset(X118),esk9_2(X118,X119)),X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( ~ in(X127,powerset(the_carrier(X118)))
| X127 != X126
| ~ in(set_difference(cast_as_carrier_subset(X118),X126),X119)
| in(X126,esk11_2(X118,X119))
| in(set_difference(cast_as_carrier_subset(X118),esk9_2(X118,X119)),X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(esk12_3(X118,X119,X124),powerset(the_carrier(X118)))
| ~ in(X124,esk11_2(X118,X119))
| esk8_2(X118,X119) = esk10_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( esk12_3(X118,X119,X124) = X124
| ~ in(X124,esk11_2(X118,X119))
| esk8_2(X118,X119) = esk10_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(set_difference(cast_as_carrier_subset(X118),X124),X119)
| ~ in(X124,esk11_2(X118,X119))
| esk8_2(X118,X119) = esk10_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( ~ in(X127,powerset(the_carrier(X118)))
| X127 != X126
| ~ in(set_difference(cast_as_carrier_subset(X118),X126),X119)
| in(X126,esk11_2(X118,X119))
| esk8_2(X118,X119) = esk10_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(esk12_3(X118,X119,X124),powerset(the_carrier(X118)))
| ~ in(X124,esk11_2(X118,X119))
| in(set_difference(cast_as_carrier_subset(X118),esk10_2(X118,X119)),X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( esk12_3(X118,X119,X124) = X124
| ~ in(X124,esk11_2(X118,X119))
| in(set_difference(cast_as_carrier_subset(X118),esk10_2(X118,X119)),X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(set_difference(cast_as_carrier_subset(X118),X124),X119)
| ~ in(X124,esk11_2(X118,X119))
| in(set_difference(cast_as_carrier_subset(X118),esk10_2(X118,X119)),X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( ~ in(X127,powerset(the_carrier(X118)))
| X127 != X126
| ~ in(set_difference(cast_as_carrier_subset(X118),X126),X119)
| in(X126,esk11_2(X118,X119))
| in(set_difference(cast_as_carrier_subset(X118),esk10_2(X118,X119)),X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(esk12_3(X118,X119,X124),powerset(the_carrier(X118)))
| ~ in(X124,esk11_2(X118,X119))
| esk9_2(X118,X119) != esk10_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( esk12_3(X118,X119,X124) = X124
| ~ in(X124,esk11_2(X118,X119))
| esk9_2(X118,X119) != esk10_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( in(set_difference(cast_as_carrier_subset(X118),X124),X119)
| ~ in(X124,esk11_2(X118,X119))
| esk9_2(X118,X119) != esk10_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) )
& ( ~ in(X127,powerset(the_carrier(X118)))
| X127 != X126
| ~ in(set_difference(cast_as_carrier_subset(X118),X126),X119)
| in(X126,esk11_2(X118,X119))
| esk9_2(X118,X119) != esk10_2(X118,X119)
| ~ topological_space(X118)
| ~ top_str(X118)
| ~ element(X119,powerset(powerset(the_carrier(X118)))) ) ),
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)],[s1_tarski__e2_37_1_1__pre_topc__1])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
cnf(c_0_4,plain,
( in(X3,esk11_2(X2,X4))
| esk8_2(X2,X4) = esk9_2(X2,X4)
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X4,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X68] :
( topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& ( ~ in(esk3_1(X68),X68)
| ~ in(esk3_1(X68),powerset(the_carrier(esk1_0)))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X68)),esk2_0) )
& ( in(esk3_1(X68),powerset(the_carrier(esk1_0)))
| in(esk3_1(X68),X68) )
& ( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X68)),esk2_0)
| in(esk3_1(X68),X68) ) ),
inference(distribute,[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,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk11_2(X1,X2))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(X1,esk11_2(esk1_0,esk2_0))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,powerset(the_carrier(esk1_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_11,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( 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_13,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| esk8_2(X1,X3) = esk9_2(X1,X3)
| ~ in(X2,esk11_2(X1,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,plain,
( in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,plain,
( esk12_3(X1,X2,X3) = X3
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,esk11_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_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_18,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( in(X3,esk11_2(X2,X4))
| esk8_2(X2,X4) = esk10_2(X2,X4)
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X4,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_21,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk12_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_22,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ 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_23,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk11_2(X1,X2))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
( esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]) ).
cnf(c_0_28,plain,
( in(X3,esk11_2(X2,X4))
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| esk9_2(X2,X4) != esk10_2(X2,X4)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X4,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(X1,esk11_2(esk1_0,esk2_0))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_30,negated_conjecture,
esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,plain,
( in(X1,esk11_2(X2,X3))
| esk10_2(X2,X3) != esk9_2(X2,X3)
| ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
| ~ in(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| esk8_2(X1,X3) = esk10_2(X1,X3)
| ~ in(X2,esk11_2(X1,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_33,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(X1,esk11_2(esk1_0,esk2_0))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| 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(spm,[status(thm)],[c_0_31,c_0_11]),c_0_7]),c_0_8]),c_0_9])]),c_0_12]) ).
cnf(c_0_35,plain,
( in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,plain,
( esk12_3(X1,X2,X3) = X3
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_37,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_38,negated_conjecture,
( in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_11]),c_0_12]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_40,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| esk12_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_41,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_37,c_0_30]) ).
cnf(c_0_42,negated_conjecture,
in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_38]) ).
cnf(c_0_43,plain,
( in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ in(X3,esk11_2(X1,X2))
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,plain,
( esk12_3(X1,X2,X3) = X3
| ~ in(X3,esk11_2(X1,X2))
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_12]) ).
cnf(c_0_46,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| esk12_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_40,c_0_30]) ).
cnf(c_0_47,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( in(X1,powerset(the_carrier(X2)))
| esk10_2(X2,X3) != esk9_2(X2,X3)
| ~ in(X1,esk11_2(X2,X3))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_50,negated_conjecture,
( esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_42]) ).
cnf(c_0_51,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_47]),c_0_42])]) ).
cnf(c_0_52,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| ~ in(X2,esk11_2(X1,X3))
| esk9_2(X1,X3) != esk10_2(X1,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,negated_conjecture,
( in(X1,powerset(the_carrier(esk1_0)))
| esk10_2(esk1_0,esk2_0) != esk9_2(esk1_0,esk2_0)
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_54,negated_conjecture,
esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( esk10_2(esk1_0,esk2_0) != esk9_2(esk1_0,esk2_0)
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_52]),c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_56,negated_conjecture,
( in(X1,powerset(the_carrier(esk1_0)))
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_57,negated_conjecture,
( ~ in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_54])]),c_0_56]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU310+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 : n017.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 02:54:28 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.46/1.77 % Version : CSE_E---1.7
% 1.46/1.77 % Problem : theBenchmark.p
% 1.46/1.77 % SZS status Theorem for theBenchmark.p
% 1.46/1.77 % SZS output start CNFRefutation
% See solution above
% 1.46/1.77 % Total time : 1.372s
%------------------------------------------------------------------------------