%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 09:16:39 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 62 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 63 ( 26 ~; 21 |; 7 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 2 sgn 21 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t143_funct_1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( ! [X3] :
~ ( in(X3,X1)
& relation_inverse_image(X2,singleton(X3)) = empty_set )
=> subset(X1,relation_rng(X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t143_funct_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc1_xboole_0) ).
fof(t142_funct_1,axiom,
! [X1,X2] :
( relation(X2)
=> ( in(X1,relation_rng(X2))
<=> relation_inverse_image(X2,singleton(X1)) != empty_set ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t142_funct_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( ! [X3] :
~ ( in(X3,X1)
& relation_inverse_image(X2,singleton(X3)) = empty_set )
=> subset(X1,relation_rng(X2)) ) ),
inference(assume_negation,[status(cth)],[t143_funct_1]) ).
fof(c_0_6,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_7,plain,
empty(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(c_0_8,negated_conjecture,
! [X6] :
( relation(esk2_0)
& ( ~ in(X6,esk1_0)
| relation_inverse_image(esk2_0,singleton(X6)) != empty_set )
& ~ subset(esk1_0,relation_rng(esk2_0)) ),
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])])])])])]) ).
cnf(c_0_9,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
empty(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X3,X4] :
( ( ~ in(X3,relation_rng(X4))
| relation_inverse_image(X4,singleton(X3)) != empty_set
| ~ relation(X4) )
& ( relation_inverse_image(X4,singleton(X3)) = empty_set
| in(X3,relation_rng(X4))
| ~ relation(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t142_funct_1])])]) ).
cnf(c_0_12,negated_conjecture,
( relation_inverse_image(esk2_0,singleton(X1)) != empty_set
| ~ in(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
empty_set = esk9_0,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( in(X2,relation_rng(X1))
| relation_inverse_image(X1,singleton(X2)) = empty_set
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk3_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk3_2(X4,X5),X5)
| subset(X4,X5) ) ),
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_tarski])])])])])])]) ).
cnf(c_0_16,negated_conjecture,
( relation_inverse_image(esk2_0,singleton(X1)) != esk9_0
| ~ in(X1,esk1_0) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( relation_inverse_image(X1,singleton(X2)) = esk9_0
| in(X2,relation_rng(X1))
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( in(X1,relation_rng(esk2_0))
| ~ in(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
( subset(X1,relation_rng(esk2_0))
| ~ in(esk3_2(X1,relation_rng(esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ subset(esk1_0,relation_rng(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n019.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 : Mon Jun 20 01:31:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.017 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 25
% 0.24/1.42 # Proof object clause steps : 14
% 0.24/1.42 # Proof object formula steps : 11
% 0.24/1.42 # Proof object conjectures : 10
% 0.24/1.42 # Proof object clause conjectures : 7
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 8
% 0.24/1.42 # Proof object initial formulas used : 5
% 0.24/1.42 # Proof object generating inferences : 4
% 0.24/1.42 # Proof object simplifying inferences : 5
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 34
% 0.24/1.42 # Removed by relevancy pruning/SinE : 7
% 0.24/1.42 # Initial clauses : 39
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 39
% 0.24/1.42 # Processed clauses : 88
% 0.24/1.42 # ...of these trivial : 1
% 0.24/1.42 # ...subsumed : 14
% 0.24/1.42 # ...remaining for further processing : 73
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 12
% 0.24/1.42 # Generated clauses : 102
% 0.24/1.42 # ...of the previous two non-trivial : 93
% 0.24/1.42 # Contextual simplify-reflections : 2
% 0.24/1.42 # Paramodulations : 102
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 61
% 0.24/1.42 # Positive orientable unit clauses : 14
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 9
% 0.24/1.42 # Non-unit-clauses : 38
% 0.24/1.42 # Current number of unprocessed clauses: 31
% 0.24/1.42 # ...number of literals in the above : 70
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 12
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 155
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 130
% 0.24/1.42 # Non-unit clause-clause subsumptions : 10
% 0.24/1.42 # Unit Clause-clause subsumption calls : 68
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 11
% 0.24/1.42 # BW rewrite match successes : 4
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 2771
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.017 s
% 0.24/1.42 # System time : 0.003 s
% 0.24/1.42 # Total time : 0.021 s
% 0.24/1.42 # Maximum resident set size: 2992 pages
%------------------------------------------------------------------------------