TSTP Solution File: SEU010+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 09:16:23 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 42 ( 17 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 12 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t42_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation_composition(identity_relation(relation_dom(X1)),X1) = X1
& relation_composition(X1,identity_relation(relation_rng(X1))) = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t42_funct_1) ).
fof(t79_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ( subset(relation_rng(X2),X1)
=> relation_composition(X2,identity_relation(X1)) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t79_relat_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_r1_tarski) ).
fof(t77_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ( subset(relation_dom(X2),X1)
=> relation_composition(identity_relation(X1),X2) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t77_relat_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation_composition(identity_relation(relation_dom(X1)),X1) = X1
& relation_composition(X1,identity_relation(relation_rng(X1))) = X1 ) ),
inference(assume_negation,[status(cth)],[t42_funct_1]) ).
fof(c_0_5,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ subset(relation_rng(X4),X3)
| relation_composition(X4,identity_relation(X3)) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t79_relat_1])]) ).
fof(c_0_6,plain,
! [X3] : subset(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_7,negated_conjecture,
( relation(esk1_0)
& function(esk1_0)
& ( relation_composition(identity_relation(relation_dom(esk1_0)),esk1_0) != esk1_0
| relation_composition(esk1_0,identity_relation(relation_rng(esk1_0))) != esk1_0 ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_8,plain,
( relation_composition(X1,identity_relation(X2)) = X1
| ~ subset(relation_rng(X1),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ subset(relation_dom(X4),X3)
| relation_composition(identity_relation(X3),X4) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t77_relat_1])]) ).
cnf(c_0_11,negated_conjecture,
( relation_composition(esk1_0,identity_relation(relation_rng(esk1_0))) != esk1_0
| relation_composition(identity_relation(relation_dom(esk1_0)),esk1_0) != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( relation_composition(X1,identity_relation(relation_rng(X1))) = X1
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( relation_composition(identity_relation(X1),X2) = X2
| ~ subset(relation_dom(X2),X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
relation_composition(identity_relation(relation_dom(esk1_0)),esk1_0) != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_16,plain,
( relation_composition(identity_relation(relation_dom(X1)),X1) = X1
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 00:18:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.016 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 18
% 0.22/1.41 # Proof object clause steps : 9
% 0.22/1.41 # Proof object formula steps : 9
% 0.22/1.41 # Proof object conjectures : 7
% 0.22/1.41 # Proof object clause conjectures : 4
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 5
% 0.22/1.41 # Proof object initial formulas used : 4
% 0.22/1.41 # Proof object generating inferences : 4
% 0.22/1.41 # Proof object simplifying inferences : 4
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 38
% 0.22/1.41 # Removed by relevancy pruning/SinE : 5
% 0.22/1.41 # Initial clauses : 47
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 47
% 0.22/1.41 # Processed clauses : 71
% 0.22/1.41 # ...of these trivial : 1
% 0.22/1.41 # ...subsumed : 6
% 0.22/1.41 # ...remaining for further processing : 64
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 7
% 0.22/1.41 # Generated clauses : 93
% 0.22/1.41 # ...of the previous two non-trivial : 69
% 0.22/1.41 # Contextual simplify-reflections : 3
% 0.22/1.41 # Paramodulations : 93
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 57
% 0.22/1.41 # Positive orientable unit clauses : 15
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 4
% 0.22/1.41 # Non-unit-clauses : 38
% 0.22/1.41 # Current number of unprocessed clauses: 32
% 0.22/1.41 # ...number of literals in the above : 93
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 7
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 280
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 248
% 0.22/1.41 # Non-unit clause-clause subsumptions : 9
% 0.22/1.41 # Unit Clause-clause subsumption calls : 75
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 7
% 0.22/1.41 # BW rewrite match successes : 3
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 3210
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.018 s
% 0.22/1.41 # System time : 0.002 s
% 0.22/1.41 # Total time : 0.020 s
% 0.22/1.41 # Maximum resident set size: 3012 pages
%------------------------------------------------------------------------------