TSTP Solution File: SEU310+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:31:35 EDT 2023
% Result : Theorem 0.21s 0.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 54 ( 11 unt; 0 def)
% Number of atoms : 335 ( 69 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 469 ( 188 ~; 236 |; 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 : 86 ( 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/sandbox/tmp/tmp.OD2UjYEp5t/E---3.1_1984.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/sandbox/tmp/tmp.OD2UjYEp5t/E---3.1_1984.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(c_0_2,plain,
! [X12,X13,X18,X20,X21] :
( ( in(esk8_3(X12,X13,X18),powerset(the_carrier(X12)))
| ~ in(X18,esk7_2(X12,X13))
| esk4_2(X12,X13) = esk5_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( esk8_3(X12,X13,X18) = X18
| ~ in(X18,esk7_2(X12,X13))
| esk4_2(X12,X13) = esk5_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(set_difference(cast_as_carrier_subset(X12),X18),X13)
| ~ in(X18,esk7_2(X12,X13))
| esk4_2(X12,X13) = esk5_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( ~ in(X21,powerset(the_carrier(X12)))
| X21 != X20
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| in(X20,esk7_2(X12,X13))
| esk4_2(X12,X13) = esk5_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(esk8_3(X12,X13,X18),powerset(the_carrier(X12)))
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),esk5_2(X12,X13)),X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( esk8_3(X12,X13,X18) = X18
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),esk5_2(X12,X13)),X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(set_difference(cast_as_carrier_subset(X12),X18),X13)
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),esk5_2(X12,X13)),X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( ~ in(X21,powerset(the_carrier(X12)))
| X21 != X20
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| in(X20,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),esk5_2(X12,X13)),X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(esk8_3(X12,X13,X18),powerset(the_carrier(X12)))
| ~ in(X18,esk7_2(X12,X13))
| esk4_2(X12,X13) = esk6_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( esk8_3(X12,X13,X18) = X18
| ~ in(X18,esk7_2(X12,X13))
| esk4_2(X12,X13) = esk6_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(set_difference(cast_as_carrier_subset(X12),X18),X13)
| ~ in(X18,esk7_2(X12,X13))
| esk4_2(X12,X13) = esk6_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( ~ in(X21,powerset(the_carrier(X12)))
| X21 != X20
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| in(X20,esk7_2(X12,X13))
| esk4_2(X12,X13) = esk6_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(esk8_3(X12,X13,X18),powerset(the_carrier(X12)))
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),esk6_2(X12,X13)),X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( esk8_3(X12,X13,X18) = X18
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),esk6_2(X12,X13)),X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(set_difference(cast_as_carrier_subset(X12),X18),X13)
| ~ in(X18,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),esk6_2(X12,X13)),X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( ~ in(X21,powerset(the_carrier(X12)))
| X21 != X20
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| in(X20,esk7_2(X12,X13))
| in(set_difference(cast_as_carrier_subset(X12),esk6_2(X12,X13)),X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(esk8_3(X12,X13,X18),powerset(the_carrier(X12)))
| ~ in(X18,esk7_2(X12,X13))
| esk5_2(X12,X13) != esk6_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( esk8_3(X12,X13,X18) = X18
| ~ in(X18,esk7_2(X12,X13))
| esk5_2(X12,X13) != esk6_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( in(set_difference(cast_as_carrier_subset(X12),X18),X13)
| ~ in(X18,esk7_2(X12,X13))
| esk5_2(X12,X13) != esk6_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) )
& ( ~ in(X21,powerset(the_carrier(X12)))
| X21 != X20
| ~ in(set_difference(cast_as_carrier_subset(X12),X20),X13)
| in(X20,esk7_2(X12,X13))
| esk5_2(X12,X13) != esk6_2(X12,X13)
| ~ topological_space(X12)
| ~ top_str(X12)
| ~ element(X13,powerset(powerset(the_carrier(X12)))) ) ),
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,esk7_2(X2,X4))
| esk4_2(X2,X4) = esk5_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,
! [X8] :
( topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_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) )
& ( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X8)),esk2_0)
| in(esk3_1(X8),X8) ) ),
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,
( esk4_2(X1,X2) = esk5_2(X1,X2)
| in(X3,esk7_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,
( 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_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,
( esk4_2(esk1_0,X1) = esk5_2(esk1_0,X1)
| in(esk3_1(X2),esk7_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X2)),X1)
| ~ element(X1,powerset(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,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,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_13,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk7_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_14,plain,
( esk8_3(X1,X2,X3) = X3
| esk4_2(X1,X2) = esk5_2(X1,X2)
| ~ in(X3,esk7_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_15,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| esk4_2(X1,X3) = esk5_2(X1,X3)
| ~ in(X2,esk7_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_16,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( in(X3,esk7_2(X2,X4))
| esk4_2(X2,X4) = esk6_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_18,plain,
( in(esk8_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk4_2(X1,X2) = esk5_2(X1,X2)
| ~ in(X3,esk7_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_19,negated_conjecture,
( esk8_3(X1,X2,esk3_1(esk7_2(X1,X2))) = esk3_1(esk7_2(X1,X2))
| esk4_2(X1,X2) = esk5_2(X1,X2)
| in(esk3_1(esk7_2(X1,X2)),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_20,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_21,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk7_2(esk1_0,esk2_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_15,c_0_16]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_22,plain,
( esk4_2(X1,X2) = esk6_2(X1,X2)
| in(X3,esk7_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_17]) ).
cnf(c_0_23,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk8_3(esk1_0,esk2_0,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(spm,[status(thm)],[c_0_18,c_0_16]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_24,negated_conjecture,
( esk8_3(esk1_0,esk2_0,esk3_1(esk7_2(esk1_0,esk2_0))) = esk3_1(esk7_2(esk1_0,esk2_0))
| esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| 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(spm,[status(thm)],[c_0_19,c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_25,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| ~ in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( esk4_2(esk1_0,X1) = esk6_2(esk1_0,X1)
| in(esk3_1(X2),esk7_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X2)),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_27,negated_conjecture,
esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_11]),c_0_27]),c_0_12]) ).
cnf(c_0_29,plain,
( in(esk8_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk4_2(X1,X2) = esk6_2(X1,X2)
| ~ in(X3,esk7_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_30,negated_conjecture,
( esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_31,plain,
( esk8_3(X1,X2,X3) = X3
| esk4_2(X1,X2) = esk6_2(X1,X2)
| ~ in(X3,esk7_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_32,negated_conjecture,
( esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk8_3(esk1_0,esk2_0,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_29,c_0_30]),c_0_27]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_33,negated_conjecture,
( esk8_3(esk1_0,esk2_0,esk3_1(esk7_2(esk1_0,esk2_0))) = esk3_1(esk7_2(esk1_0,esk2_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_31,c_0_30]),c_0_27]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_34,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| esk4_2(X1,X3) = esk6_2(X1,X3)
| ~ in(X2,esk7_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_35,plain,
( in(X3,esk7_2(X2,X4))
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| esk5_2(X2,X4) != esk6_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_36,negated_conjecture,
( esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk7_2(esk1_0,esk2_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_34,c_0_30]),c_0_27]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_38,plain,
( in(X1,esk7_2(X2,X3))
| esk6_2(X2,X3) != esk5_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_35]) ).
cnf(c_0_39,negated_conjecture,
esk6_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_30]),c_0_36]),c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( in(X1,esk7_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_41,plain,
( in(esk8_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ in(X3,esk7_2(X1,X2))
| esk5_2(X1,X2) != esk6_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_42,negated_conjecture,
( in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_7]),c_0_12]) ).
cnf(c_0_43,plain,
( esk8_3(X1,X2,X3) = X3
| ~ in(X3,esk7_2(X1,X2))
| esk5_2(X1,X2) != esk6_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,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| ~ in(X2,esk7_2(X1,X3))
| esk5_2(X1,X3) != esk6_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_45,negated_conjecture,
( in(esk8_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk7_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_41,c_0_39]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_46,negated_conjecture,
in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( esk8_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk7_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_43,c_0_39]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_48,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,esk7_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_44,c_0_39]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_49,negated_conjecture,
in(esk8_3(esk1_0,esk2_0,esk3_1(esk7_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
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_47,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk7_2(esk1_0,esk2_0))),esk2_0),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_46]),c_0_51]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 08:13:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order model finding
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.OD2UjYEp5t/E---3.1_1984.p
% 0.21/0.55 # Version: 3.1pre001
% 0.21/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55 # Starting sh5l with 300s (1) cores
% 0.21/0.55 # new_bool_3 with pid 2129 completed with status 0
% 0.21/0.55 # Result found by new_bool_3
% 0.21/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55 # Search class: FGHSS-FFMM31-MFFFFFNN
% 0.21/0.55 # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.21/0.55 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.21/0.55 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 2132 completed with status 0
% 0.21/0.55 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.21/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55 # Search class: FGHSS-FFMM31-MFFFFFNN
% 0.21/0.55 # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.21/0.55 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.21/0.55 # Preprocessing time : 0.002 s
% 0.21/0.55 # Presaturation interreduction done
% 0.21/0.55
% 0.21/0.55 # Proof found!
% 0.21/0.55 # SZS status Theorem
% 0.21/0.55 # SZS output start CNFRefutation
% See solution above
% 0.21/0.55 # Parsed axioms : 36
% 0.21/0.55 # Removed by relevancy pruning/SinE : 14
% 0.21/0.55 # Initial clauses : 77
% 0.21/0.55 # Removed in clause preprocessing : 0
% 0.21/0.55 # Initial clauses in saturation : 77
% 0.21/0.55 # Processed clauses : 325
% 0.21/0.55 # ...of these trivial : 18
% 0.21/0.55 # ...subsumed : 27
% 0.21/0.55 # ...remaining for further processing : 279
% 0.21/0.55 # Other redundant clauses eliminated : 5
% 0.21/0.55 # Clauses deleted for lack of memory : 0
% 0.21/0.55 # Backward-subsumed : 1
% 0.21/0.55 # Backward-rewritten : 32
% 0.21/0.55 # Generated clauses : 474
% 0.21/0.55 # ...of the previous two non-redundant : 443
% 0.21/0.55 # ...aggressively subsumed : 0
% 0.21/0.55 # Contextual simplify-reflections : 7
% 0.21/0.55 # Paramodulations : 461
% 0.21/0.55 # Factorizations : 8
% 0.21/0.55 # NegExts : 0
% 0.21/0.55 # Equation resolutions : 5
% 0.21/0.55 # Total rewrite steps : 435
% 0.21/0.55 # Propositional unsat checks : 0
% 0.21/0.55 # Propositional check models : 0
% 0.21/0.55 # Propositional check unsatisfiable : 0
% 0.21/0.55 # Propositional clauses : 0
% 0.21/0.55 # Propositional clauses after purity: 0
% 0.21/0.55 # Propositional unsat core size : 0
% 0.21/0.55 # Propositional preprocessing time : 0.000
% 0.21/0.55 # Propositional encoding time : 0.000
% 0.21/0.55 # Propositional solver time : 0.000
% 0.21/0.55 # Success case prop preproc time : 0.000
% 0.21/0.55 # Success case prop encoding time : 0.000
% 0.21/0.55 # Success case prop solver time : 0.000
% 0.21/0.55 # Current number of processed clauses : 164
% 0.21/0.55 # Positive orientable unit clauses : 22
% 0.21/0.55 # Positive unorientable unit clauses: 0
% 0.21/0.55 # Negative unit clauses : 7
% 0.21/0.55 # Non-unit-clauses : 135
% 0.21/0.55 # Current number of unprocessed clauses: 260
% 0.21/0.55 # ...number of literals in the above : 1450
% 0.21/0.55 # Current number of archived formulas : 0
% 0.21/0.55 # Current number of archived clauses : 110
% 0.21/0.55 # Clause-clause subsumption calls (NU) : 10595
% 0.21/0.55 # Rec. Clause-clause subsumption calls : 2447
% 0.21/0.55 # Non-unit clause-clause subsumptions : 28
% 0.21/0.55 # Unit Clause-clause subsumption calls : 236
% 0.21/0.55 # Rewrite failures with RHS unbound : 0
% 0.21/0.55 # BW rewrite match attempts : 11
% 0.21/0.55 # BW rewrite match successes : 3
% 0.21/0.55 # Condensation attempts : 0
% 0.21/0.55 # Condensation successes : 0
% 0.21/0.55 # Termbank termtop insertions : 19355
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.033 s
% 0.21/0.55 # System time : 0.005 s
% 0.21/0.55 # Total time : 0.038 s
% 0.21/0.55 # Maximum resident set size: 1860 pages
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.036 s
% 0.21/0.55 # System time : 0.006 s
% 0.21/0.55 # Total time : 0.042 s
% 0.21/0.55 # Maximum resident set size: 1732 pages
% 0.21/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------