%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 : Mon Jul 18 09:32:11 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 4 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 95 ( 38 ~; 35 |; 12 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 3 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d8_ordinal1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2)
& transfinite_sequence(X2) )
=> ( transfinite_sequence_of(X2,X1)
<=> subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_ordinal1) ).
fof(dt_m1_ordinal1,axiom,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ( relation(X2)
& function(X2)
& transfinite_sequence(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_ordinal1) ).
fof(t47_ordinal1,axiom,
! [X1,X2] :
( subset(X1,X2)
=> ! [X3] :
( transfinite_sequence_of(X3,X1)
=> transfinite_sequence_of(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t47_ordinal1) ).
fof(t48_ordinal1,conjecture,
! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ! [X3] :
( ordinal(X3)
=> transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t48_ordinal1) ).
fof(dt_k2_ordinal1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& transfinite_sequence(X1)
& ordinal(X2) )
=> transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_ordinal1) ).
fof(c_0_5,plain,
! [X3,X4] :
( ( ~ transfinite_sequence_of(X4,X3)
| subset(relation_rng(X4),X3)
| ~ relation(X4)
| ~ function(X4)
| ~ transfinite_sequence(X4) )
& ( ~ subset(relation_rng(X4),X3)
| transfinite_sequence_of(X4,X3)
| ~ relation(X4)
| ~ function(X4)
| ~ transfinite_sequence(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_ordinal1])])]) ).
fof(c_0_6,plain,
! [X3,X4] :
( ( relation(X4)
| ~ transfinite_sequence_of(X4,X3) )
& ( function(X4)
| ~ transfinite_sequence_of(X4,X3) )
& ( transfinite_sequence(X4)
| ~ transfinite_sequence_of(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_ordinal1])])]) ).
fof(c_0_7,plain,
! [X4,X5,X6] :
( ~ subset(X4,X5)
| ~ transfinite_sequence_of(X6,X4)
| transfinite_sequence_of(X6,X5) ),
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)],[t47_ordinal1])])])])]) ).
cnf(c_0_8,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( relation(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( function(X1)
| ~ transfinite_sequence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1,X2] :
( transfinite_sequence_of(X2,X1)
=> ! [X3] :
( ordinal(X3)
=> transfinite_sequence_of(tseq_dom_restriction(X2,X3),X1) ) ),
inference(assume_negation,[status(cth)],[t48_ordinal1]) ).
cnf(c_0_13,plain,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence_of(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( subset(relation_rng(X1),X2)
| ~ transfinite_sequence_of(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]) ).
fof(c_0_15,plain,
! [X3,X4] :
( ~ relation(X3)
| ~ function(X3)
| ~ transfinite_sequence(X3)
| ~ ordinal(X4)
| transfinite_sequence_of(tseq_dom_restriction(X3,X4),relation_rng(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_ordinal1])]) ).
fof(c_0_16,negated_conjecture,
( transfinite_sequence_of(esk2_0,esk1_0)
& ordinal(esk3_0)
& ~ transfinite_sequence_of(tseq_dom_restriction(esk2_0,esk3_0),esk1_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_12])])])])]) ).
cnf(c_0_17,plain,
( transfinite_sequence_of(X1,X2)
| ~ transfinite_sequence_of(X1,relation_rng(X3))
| ~ transfinite_sequence_of(X3,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),relation_rng(X1))
| ~ ordinal(X2)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction(esk2_0,esk3_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( transfinite_sequence_of(tseq_dom_restriction(X1,X2),X3)
| ~ transfinite_sequence_of(X1,X3)
| ~ ordinal(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_11]),c_0_10]),c_0_9]) ).
cnf(c_0_21,negated_conjecture,
transfinite_sequence_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
ordinal(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 19:09:52 EDT 2022
% 0.13/0.34 % 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 : 0.018 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 : 24
% 0.24/1.42 # Proof object clause steps : 13
% 0.24/1.42 # Proof object formula steps : 11
% 0.24/1.42 # Proof object conjectures : 7
% 0.24/1.42 # Proof object clause conjectures : 4
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 9
% 0.24/1.42 # Proof object initial formulas used : 5
% 0.24/1.42 # Proof object generating inferences : 3
% 0.24/1.42 # Proof object simplifying inferences : 9
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 48
% 0.24/1.42 # Removed by relevancy pruning/SinE : 4
% 0.24/1.42 # Initial clauses : 91
% 0.24/1.42 # Removed in clause preprocessing : 2
% 0.24/1.42 # Initial clauses in saturation : 89
% 0.24/1.42 # Processed clauses : 236
% 0.24/1.42 # ...of these trivial : 6
% 0.24/1.42 # ...subsumed : 60
% 0.24/1.42 # ...remaining for further processing : 170
% 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 : 4
% 0.24/1.42 # Backward-rewritten : 25
% 0.24/1.42 # Generated clauses : 351
% 0.24/1.42 # ...of the previous two non-trivial : 280
% 0.24/1.42 # Contextual simplify-reflections : 57
% 0.24/1.42 # Paramodulations : 351
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 141
% 0.24/1.42 # Positive orientable unit clauses : 47
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 6
% 0.24/1.42 # Non-unit-clauses : 88
% 0.24/1.42 # Current number of unprocessed clauses: 123
% 0.24/1.42 # ...number of literals in the above : 511
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 29
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 3610
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 2046
% 0.24/1.42 # Non-unit clause-clause subsumptions : 109
% 0.24/1.42 # Unit Clause-clause subsumption calls : 160
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 7
% 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 : 7237
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.025 s
% 0.24/1.42 # System time : 0.006 s
% 0.24/1.42 # Total time : 0.031 s
% 0.24/1.42 # Maximum resident set size: 3352 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51 eprover: No such file or directory
% 0.24/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------