TSTP Solution File: SET677+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 00:53:05 EDT 2022
% Result : Theorem 0.24s 1.45s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 92 ( 17 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 114 ( 46 ~; 41 |; 10 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 1 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_relset_1_44,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,identity_relation_of_type(X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = domain(X1,X1,X2)
& X1 = range(X1,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_relset_1_44) ).
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X1,X2,X3))
& X2 = range(X1,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p2) ).
fof(p34,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p34) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( X2 = domain(X2,X1,X3)
& subset(X2,range(X2,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p1) ).
fof(p5,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,identity_relation_of_type(X1))
<=> ilf_type(X2,relation_type(X1,X1)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p5) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,identity_relation_of_type(X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = domain(X1,X1,X2)
& X1 = range(X1,X1,X2) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_44]) ).
fof(c_0_6,plain,
! [X4,X5,X6] :
( ( subset(X5,domain(X4,X5,X6))
| ~ subset(identity_relation_of(X5),X6)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( X5 = range(X4,X5,X6)
| ~ subset(identity_relation_of(X5),X6)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[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])])])])])]) ).
fof(c_0_7,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[p34]) ).
fof(c_0_8,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,identity_relation_of_type(esk1_0))
& subset(identity_relation_of(esk1_0),esk2_0)
& ( esk1_0 != domain(esk1_0,esk1_0,esk2_0)
| esk1_0 != range(esk1_0,esk1_0,esk2_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_5])])])])]) ).
cnf(c_0_9,plain,
( X2 = range(X1,X2,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(identity_relation_of(X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( ( X5 = domain(X5,X4,X6)
| ~ subset(identity_relation_of(X5),X6)
| ~ ilf_type(X6,relation_type(X5,X4))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( subset(X5,range(X5,X4,X6))
| ~ subset(identity_relation_of(X5),X6)
| ~ ilf_type(X6,relation_type(X5,X4))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[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_12,plain,
! [X3,X4] :
( ( ~ ilf_type(X4,identity_relation_of_type(X3))
| ilf_type(X4,relation_type(X3,X3))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ ilf_type(X4,relation_type(X3,X3))
| ilf_type(X4,identity_relation_of_type(X3))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[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)],[p5])])])])])]) ).
cnf(c_0_13,negated_conjecture,
( esk1_0 != range(esk1_0,esk1_0,esk2_0)
| esk1_0 != domain(esk1_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( range(X1,X2,X3) = X2
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
subset(identity_relation_of(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( X2 = domain(X2,X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X2,X1))
| ~ subset(identity_relation_of(X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( ilf_type(X2,relation_type(X1,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,identity_relation_of_type(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( domain(esk1_0,esk1_0,esk2_0) != esk1_0
| ~ ilf_type(esk2_0,relation_type(esk1_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_19,plain,
( domain(X1,X2,X3) = X1
| ~ subset(identity_relation_of(X1),X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_10]),c_0_10])]) ).
cnf(c_0_20,plain,
( ilf_type(X1,relation_type(X2,X2))
| ~ ilf_type(X1,identity_relation_of_type(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_10]),c_0_10])]) ).
cnf(c_0_21,negated_conjecture,
ilf_type(esk2_0,identity_relation_of_type(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
~ ilf_type(esk2_0,relation_type(esk1_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15])]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.15 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 01:48:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.45 # Preprocessing time : 0.017 s
% 0.24/1.45
% 0.24/1.45 # Proof found!
% 0.24/1.45 # SZS status Theorem
% 0.24/1.45 # SZS output start CNFRefutation
% See solution above
% 0.24/1.45 # Proof object total steps : 24
% 0.24/1.45 # Proof object clause steps : 13
% 0.24/1.45 # Proof object formula steps : 11
% 0.24/1.45 # Proof object conjectures : 9
% 0.24/1.45 # Proof object clause conjectures : 6
% 0.24/1.45 # Proof object formula conjectures : 3
% 0.24/1.45 # Proof object initial clauses used : 7
% 0.24/1.45 # Proof object initial formulas used : 5
% 0.24/1.45 # Proof object generating inferences : 3
% 0.24/1.45 # Proof object simplifying inferences : 14
% 0.24/1.45 # Training examples: 0 positive, 0 negative
% 0.24/1.45 # Parsed axioms : 35
% 0.24/1.45 # Removed by relevancy pruning/SinE : 9
% 0.24/1.45 # Initial clauses : 53
% 0.24/1.45 # Removed in clause preprocessing : 1
% 0.24/1.45 # Initial clauses in saturation : 52
% 0.24/1.45 # Processed clauses : 57
% 0.24/1.45 # ...of these trivial : 11
% 0.24/1.45 # ...subsumed : 1
% 0.24/1.45 # ...remaining for further processing : 44
% 0.24/1.45 # Other redundant clauses eliminated : 3
% 0.24/1.45 # Clauses deleted for lack of memory : 0
% 0.24/1.45 # Backward-subsumed : 0
% 0.24/1.45 # Backward-rewritten : 0
% 0.24/1.45 # Generated clauses : 40
% 0.24/1.45 # ...of the previous two non-trivial : 31
% 0.24/1.45 # Contextual simplify-reflections : 2
% 0.24/1.45 # Paramodulations : 37
% 0.24/1.45 # Factorizations : 0
% 0.24/1.45 # Equation resolutions : 3
% 0.24/1.45 # Current number of processed clauses : 41
% 0.24/1.45 # Positive orientable unit clauses : 10
% 0.24/1.45 # Positive unorientable unit clauses: 0
% 0.24/1.45 # Negative unit clauses : 1
% 0.24/1.45 # Non-unit-clauses : 30
% 0.24/1.45 # Current number of unprocessed clauses: 26
% 0.24/1.45 # ...number of literals in the above : 73
% 0.24/1.45 # Current number of archived formulas : 0
% 0.24/1.45 # Current number of archived clauses : 0
% 0.24/1.45 # Clause-clause subsumption calls (NU) : 57
% 0.24/1.45 # Rec. Clause-clause subsumption calls : 38
% 0.24/1.45 # Non-unit clause-clause subsumptions : 3
% 0.24/1.45 # Unit Clause-clause subsumption calls : 9
% 0.24/1.45 # Rewrite failures with RHS unbound : 0
% 0.24/1.45 # BW rewrite match attempts : 1
% 0.24/1.45 # BW rewrite match successes : 0
% 0.24/1.45 # Condensation attempts : 0
% 0.24/1.45 # Condensation successes : 0
% 0.24/1.45 # Termbank termtop insertions : 4929
% 0.24/1.45
% 0.24/1.45 # -------------------------------------------------
% 0.24/1.45 # User time : 0.016 s
% 0.24/1.45 # System time : 0.003 s
% 0.24/1.45 # Total time : 0.019 s
% 0.24/1.45 # Maximum resident set size: 3096 pages
%------------------------------------------------------------------------------