%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU101+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 : 600s
% DateTime : Tue Jul 19 09:16:49 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 138 ( 51 ~; 58 |; 19 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 2 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t10_finsub_1,conjecture,
! [X1] :
( preboolean(X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1) )
=> ( in(set_union2(X2,X3),X1)
& in(set_difference(X2,X3),X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t10_finsub_1) ).
fof(d3_finsub_1,axiom,
! [X1] :
( diff_closed(X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1) )
=> in(set_difference(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_finsub_1) ).
fof(cc1_finsub_1,axiom,
! [X1] :
( preboolean(X1)
=> ( cup_closed(X1)
& diff_closed(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_finsub_1) ).
fof(d1_finsub_1,axiom,
! [X1] :
( cup_closed(X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1) )
=> in(set_union2(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_finsub_1) ).
fof(cc2_finsub_1,axiom,
! [X1] :
( ( cup_closed(X1)
& diff_closed(X1) )
=> preboolean(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc2_finsub_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( preboolean(X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1) )
=> ( in(set_union2(X2,X3),X1)
& in(set_difference(X2,X3),X1) ) ) ),
inference(assume_negation,[status(cth)],[t10_finsub_1]) ).
fof(c_0_6,plain,
! [X4,X5,X6,X4] :
( ( ~ diff_closed(X4)
| ~ in(X5,X4)
| ~ in(X6,X4)
| in(set_difference(X5,X6),X4) )
& ( in(esk4_1(X4),X4)
| diff_closed(X4) )
& ( in(esk5_1(X4),X4)
| diff_closed(X4) )
& ( ~ in(set_difference(esk4_1(X4),esk5_1(X4)),X4)
| diff_closed(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_finsub_1])])])])])])]) ).
fof(c_0_7,negated_conjecture,
! [X7,X8] :
( ( in(esk2_0,esk1_0)
| ~ preboolean(esk1_0) )
& ( in(esk3_0,esk1_0)
| ~ preboolean(esk1_0) )
& ( ~ in(set_union2(esk2_0,esk3_0),esk1_0)
| ~ in(set_difference(esk2_0,esk3_0),esk1_0)
| ~ preboolean(esk1_0) )
& ( in(set_union2(X7,X8),esk1_0)
| ~ in(X7,esk1_0)
| ~ in(X8,esk1_0)
| preboolean(esk1_0) )
& ( in(set_difference(X7,X8),esk1_0)
| ~ in(X7,esk1_0)
| ~ in(X8,esk1_0)
| preboolean(esk1_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])])]) ).
fof(c_0_8,plain,
! [X2] :
( ( cup_closed(X2)
| ~ preboolean(X2) )
& ( diff_closed(X2)
| ~ preboolean(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finsub_1])])]) ).
fof(c_0_9,plain,
! [X4,X5,X6,X4] :
( ( ~ cup_closed(X4)
| ~ in(X5,X4)
| ~ in(X6,X4)
| in(set_union2(X5,X6),X4) )
& ( in(esk14_1(X4),X4)
| cup_closed(X4) )
& ( in(esk15_1(X4),X4)
| cup_closed(X4) )
& ( ~ in(set_union2(esk14_1(X4),esk15_1(X4)),X4)
| cup_closed(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_finsub_1])])])])])])]) ).
fof(c_0_10,plain,
! [X2] :
( ~ cup_closed(X2)
| ~ diff_closed(X2)
| preboolean(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finsub_1])]) ).
cnf(c_0_11,plain,
( diff_closed(X1)
| ~ in(set_difference(esk4_1(X1),esk5_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( preboolean(esk1_0)
| in(set_difference(X2,X1),esk1_0)
| ~ in(X1,esk1_0)
| ~ in(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( diff_closed(X1)
| in(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( diff_closed(X1)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( diff_closed(X1)
| ~ preboolean(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( cup_closed(X1)
| ~ in(set_union2(esk14_1(X1),esk15_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( preboolean(esk1_0)
| in(set_union2(X2,X1),esk1_0)
| ~ in(X1,esk1_0)
| ~ in(X2,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( cup_closed(X1)
| in(esk15_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
( cup_closed(X1)
| in(esk14_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
( cup_closed(X1)
| ~ preboolean(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( preboolean(X1)
| ~ diff_closed(X1)
| ~ cup_closed(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,negated_conjecture,
diff_closed(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_23,negated_conjecture,
cup_closed(esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( ~ preboolean(esk1_0)
| ~ in(set_difference(esk2_0,esk3_0),esk1_0)
| ~ in(set_union2(esk2_0,esk3_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,negated_conjecture,
preboolean(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
( in(set_difference(X1,X2),X3)
| ~ in(X2,X3)
| ~ in(X1,X3)
| ~ diff_closed(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,plain,
( in(set_union2(X1,X2),X3)
| ~ in(X2,X3)
| ~ in(X1,X3)
| ~ cup_closed(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
( ~ in(set_union2(esk2_0,esk3_0),esk1_0)
| ~ in(set_difference(esk2_0,esk3_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_29,negated_conjecture,
( in(set_difference(X1,X2),esk1_0)
| ~ in(X2,esk1_0)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( in(set_union2(X1,X2),esk1_0)
| ~ in(X2,esk1_0)
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( in(esk3_0,esk1_0)
| ~ preboolean(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32,negated_conjecture,
( in(esk2_0,esk1_0)
| ~ preboolean(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( ~ in(esk3_0,esk1_0)
| ~ in(esk2_0,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,negated_conjecture,
in(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_25])]) ).
cnf(c_0_35,negated_conjecture,
in(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_25])]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU101+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 22:29:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.43 # Preprocessing time : 0.018 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 37
% 0.24/1.43 # Proof object clause steps : 26
% 0.24/1.43 # Proof object formula steps : 11
% 0.24/1.43 # Proof object conjectures : 18
% 0.24/1.43 # Proof object clause conjectures : 15
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 16
% 0.24/1.43 # Proof object initial formulas used : 5
% 0.24/1.43 # Proof object generating inferences : 6
% 0.24/1.43 # Proof object simplifying inferences : 19
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 39
% 0.24/1.43 # Removed by relevancy pruning/SinE : 4
% 0.24/1.43 # Initial clauses : 55
% 0.24/1.43 # Removed in clause preprocessing : 0
% 0.24/1.43 # Initial clauses in saturation : 55
% 0.24/1.43 # Processed clauses : 85
% 0.24/1.43 # ...of these trivial : 1
% 0.24/1.43 # ...subsumed : 12
% 0.24/1.43 # ...remaining for further processing : 71
% 0.24/1.43 # Other redundant clauses eliminated : 0
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 0
% 0.24/1.43 # Backward-rewritten : 14
% 0.24/1.43 # Generated clauses : 112
% 0.24/1.43 # ...of the previous two non-trivial : 81
% 0.24/1.43 # Contextual simplify-reflections : 11
% 0.24/1.43 # Paramodulations : 112
% 0.24/1.43 # Factorizations : 0
% 0.24/1.43 # Equation resolutions : 0
% 0.24/1.43 # Current number of processed clauses : 57
% 0.24/1.43 # Positive orientable unit clauses : 15
% 0.24/1.43 # Positive unorientable unit clauses: 1
% 0.24/1.43 # Negative unit clauses : 4
% 0.24/1.43 # Non-unit-clauses : 37
% 0.24/1.43 # Current number of unprocessed clauses: 40
% 0.24/1.43 # ...number of literals in the above : 97
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 14
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 244
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 203
% 0.24/1.43 # Non-unit clause-clause subsumptions : 23
% 0.24/1.43 # Unit Clause-clause subsumption calls : 84
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 14
% 0.24/1.43 # BW rewrite match successes : 13
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 3958
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.019 s
% 0.24/1.43 # System time : 0.004 s
% 0.24/1.43 # Total time : 0.023 s
% 0.24/1.43 # Maximum resident set size: 3064 pages
%------------------------------------------------------------------------------