%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 00:52:49 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 73 ( 26 ~; 23 |; 5 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 1 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X2,X3))
=> ( subset(X1,X4)
=> subset(X1,cross_product(X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p1) ).
fof(p19,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p19) ).
fof(prove_relset_1_4,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X2,X3))
=> ( subset(X1,X4)
=> ilf_type(X1,relation_type(X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_relset_1_4) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( subset(X1,cross_product(X2,X3))
=> ilf_type(X1,relation_type(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p2) ).
fof(c_0_4,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X8,relation_type(X6,X7))
| ~ subset(X5,X8)
| subset(X5,cross_product(X6,X7)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])]) ).
fof(c_0_5,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[p19]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X2,X3))
=> ( subset(X1,X4)
=> ilf_type(X1,relation_type(X2,X3)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_4]) ).
fof(c_0_7,plain,
! [X4,X5,X6] :
( ~ ilf_type(X4,set_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ subset(X4,cross_product(X5,X6))
| ilf_type(X4,relation_type(X5,X6)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])])]) ).
cnf(c_0_8,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| ~ ilf_type(X4,relation_type(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,set_type)
& ilf_type(esk4_0,relation_type(esk2_0,esk3_0))
& subset(esk1_0,esk4_0)
& ~ ilf_type(esk1_0,relation_type(esk2_0,esk3_0)) ),
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_6])])])])]) ).
cnf(c_0_11,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ subset(X1,cross_product(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( subset(X1,cross_product(X2,X3))
| ~ subset(X1,X4)
| ~ ilf_type(X4,relation_type(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]),c_0_9])]) ).
cnf(c_0_13,negated_conjecture,
ilf_type(esk4_0,relation_type(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ilf_type(X1,relation_type(X2,X3))
| ~ subset(X1,cross_product(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_9]),c_0_9])]) ).
cnf(c_0_15,negated_conjecture,
( subset(X1,cross_product(esk2_0,esk3_0))
| ~ subset(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( ilf_type(X1,relation_type(esk2_0,esk3_0))
| ~ subset(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
subset(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
~ ilf_type(esk1_0,relation_type(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 09:16:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.017 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 20
% 0.23/1.41 # Proof object clause steps : 11
% 0.23/1.41 # Proof object formula steps : 9
% 0.23/1.41 # Proof object conjectures : 9
% 0.23/1.41 # Proof object clause conjectures : 6
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 6
% 0.23/1.41 # Proof object initial formulas used : 4
% 0.23/1.41 # Proof object generating inferences : 3
% 0.23/1.41 # Proof object simplifying inferences : 9
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 20
% 0.23/1.41 # Removed by relevancy pruning/SinE : 2
% 0.23/1.41 # Initial clauses : 35
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 35
% 0.23/1.41 # Processed clauses : 38
% 0.23/1.41 # ...of these trivial : 8
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 30
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 28
% 0.23/1.41 # ...of the previous two non-trivial : 21
% 0.23/1.41 # Contextual simplify-reflections : 1
% 0.23/1.41 # Paramodulations : 28
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 30
% 0.23/1.41 # Positive orientable unit clauses : 7
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 2
% 0.23/1.41 # Non-unit-clauses : 21
% 0.23/1.41 # Current number of unprocessed clauses: 18
% 0.23/1.41 # ...number of literals in the above : 35
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 0
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 53
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 51
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1
% 0.23/1.41 # Unit Clause-clause subsumption calls : 5
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 1
% 0.23/1.41 # BW rewrite match successes : 0
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 3229
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.018 s
% 0.23/1.41 # System time : 0.001 s
% 0.23/1.41 # Total time : 0.019 s
% 0.23/1.41 # Maximum resident set size: 3020 pages
%------------------------------------------------------------------------------