TSTP Solution File: SWV394+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV394+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 18:16:27 EDT 2022
% Result : Theorem 0.24s 1.44s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% Number of atoms : 119 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 128 ( 52 ~; 50 |; 14 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 120 ( 17 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l30_co,conjecture,
! [X1,X2,X3,X4] :
( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
& ok(remove_cpq(triple(X1,X2,X3),X4)) )
=> ! [X5] :
( pair_in_list(X2,X4,X5)
=> less_than(X5,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l30_co) ).
fof(l30_li4142,lemma,
! [X1,X2,X3] :
( check_cpq(triple(X1,X2,X3))
<=> ! [X4,X5] :
( pair_in_list(X2,X4,X5)
=> less_than(X5,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l30_li4142) ).
fof(ax45,axiom,
! [X1,X2,X3,X4] :
( ( contains_slb(X2,X4)
& strictly_less_than(X4,lookup_slb(X2,X4)) )
=> remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax45) ).
fof(ax43,axiom,
! [X1,X2,X3,X4] :
( ~ contains_slb(X2,X4)
=> remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax43) ).
fof(ax40,axiom,
! [X1,X2] :
( ok(triple(X1,X2,bad))
<=> ~ $true ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax40) ).
fof(ax44,axiom,
! [X1,X2,X3,X4] :
( ( contains_slb(X2,X4)
& less_than(lookup_slb(X2,X4),X4) )
=> remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax44) ).
fof(l30_li3132,lemma,
! [X1,X2,X3,X4,X5] :
( ( pair_in_list(X2,X4,X5)
& strictly_less_than(X4,X5)
& ok(remove_cpq(triple(X1,X2,X3),X4)) )
=> pair_in_list(remove_slb(X2,X4),X4,X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l30_li3132) ).
fof(stricly_smaller_definition,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( check_cpq(remove_cpq(triple(X1,X2,X3),X4))
& ok(remove_cpq(triple(X1,X2,X3),X4)) )
=> ! [X5] :
( pair_in_list(X2,X4,X5)
=> less_than(X5,X4) ) ),
inference(assume_negation,[status(cth)],[l30_co]) ).
fof(c_0_10,lemma,
! [X6,X7,X8,X9,X10,X6,X7,X8] :
( ( ~ check_cpq(triple(X6,X7,X8))
| ~ pair_in_list(X7,X9,X10)
| less_than(X10,X9) )
& ( pair_in_list(X7,esk1_2(X6,X7),esk2_2(X6,X7))
| check_cpq(triple(X6,X7,X8)) )
& ( ~ less_than(esk2_2(X6,X7),esk1_2(X6,X7))
| check_cpq(triple(X6,X7,X8)) ) ),
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)],[l30_li4142])])])])])])]) ).
fof(c_0_11,plain,
! [X5,X6,X7,X8] :
( ~ contains_slb(X6,X8)
| ~ strictly_less_than(X8,lookup_slb(X6,X8))
| remove_cpq(triple(X5,X6,X7),X8) = triple(remove_pqp(X5,X8),remove_slb(X6,X8),bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).
fof(c_0_12,negated_conjecture,
( check_cpq(remove_cpq(triple(esk3_0,esk4_0,esk5_0),esk6_0))
& ok(remove_cpq(triple(esk3_0,esk4_0,esk5_0),esk6_0))
& pair_in_list(esk4_0,esk6_0,esk7_0)
& ~ less_than(esk7_0,esk6_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_9])])])])]) ).
fof(c_0_13,plain,
! [X5,X6,X7,X8] :
( contains_slb(X6,X8)
| remove_cpq(triple(X5,X6,X7),X8) = triple(X5,X6,bad) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax43])])]) ).
fof(c_0_14,plain,
! [X3,X4] : ~ ok(triple(X3,X4,bad)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax40])]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] :
( ~ contains_slb(X6,X8)
| ~ less_than(lookup_slb(X6,X8),X8)
| remove_cpq(triple(X5,X6,X7),X8) = triple(remove_pqp(X5,X8),remove_slb(X6,X8),X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])]) ).
cnf(c_0_16,lemma,
( less_than(X1,X2)
| ~ pair_in_list(X3,X2,X1)
| ~ check_cpq(triple(X4,X3,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)
| ~ strictly_less_than(X4,lookup_slb(X2,X4))
| ~ contains_slb(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
ok(remove_cpq(triple(esk3_0,esk4_0,esk5_0),esk6_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad)
| contains_slb(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
~ ok(triple(X1,X2,bad)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,lemma,
! [X6,X7,X8,X9,X10] :
( ~ pair_in_list(X7,X9,X10)
| ~ strictly_less_than(X9,X10)
| ~ ok(remove_cpq(triple(X6,X7,X8),X9))
| pair_in_list(remove_slb(X7,X9),X9,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l30_li3132])]) ).
fof(c_0_22,plain,
! [X3,X4,X3,X4] :
( ( less_than(X3,X4)
| ~ strictly_less_than(X3,X4) )
& ( ~ less_than(X4,X3)
| ~ strictly_less_than(X3,X4) )
& ( ~ less_than(X3,X4)
| less_than(X4,X3)
| strictly_less_than(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[stricly_smaller_definition])])])])])]) ).
fof(c_0_23,plain,
! [X3,X4] :
( less_than(X3,X4)
| less_than(X4,X3) ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(c_0_24,plain,
( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3)
| ~ less_than(lookup_slb(X2,X4),X4)
| ~ contains_slb(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,lemma,
( less_than(X1,X2)
| ~ check_cpq(remove_cpq(triple(X3,X4,X5),X6))
| ~ pair_in_list(remove_slb(X4,X6),X2,X1)
| ~ contains_slb(X4,X6)
| ~ strictly_less_than(X6,lookup_slb(X4,X6)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
check_cpq(remove_cpq(triple(esk3_0,esk4_0,esk5_0),esk6_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
contains_slb(esk4_0,esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_28,lemma,
( pair_in_list(remove_slb(X1,X2),X2,X3)
| ~ ok(remove_cpq(triple(X4,X1,X5),X2))
| ~ strictly_less_than(X2,X3)
| ~ pair_in_list(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,lemma,
( less_than(X1,X2)
| ~ check_cpq(remove_cpq(triple(X3,X4,X5),X6))
| ~ pair_in_list(remove_slb(X4,X6),X2,X1)
| ~ contains_slb(X4,X6)
| ~ less_than(lookup_slb(X4,X6),X6) ),
inference(spm,[status(thm)],[c_0_16,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( less_than(X1,X2)
| ~ pair_in_list(remove_slb(esk4_0,esk6_0),X2,X1)
| ~ strictly_less_than(esk6_0,lookup_slb(esk4_0,esk6_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_33,negated_conjecture,
( pair_in_list(remove_slb(esk4_0,esk6_0),esk6_0,X1)
| ~ pair_in_list(esk4_0,esk6_0,X1)
| ~ strictly_less_than(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_34,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( less_than(X1,X2)
| ~ pair_in_list(remove_slb(esk4_0,esk6_0),X2,X1)
| ~ less_than(lookup_slb(esk4_0,esk6_0),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_27])]) ).
cnf(c_0_36,negated_conjecture,
( less_than(X1,esk6_0)
| ~ pair_in_list(esk4_0,esk6_0,X1)
| ~ strictly_less_than(esk6_0,lookup_slb(esk4_0,esk6_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_37,negated_conjecture,
pair_in_list(esk4_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,negated_conjecture,
~ less_than(esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,negated_conjecture,
( less_than(X1,esk6_0)
| ~ pair_in_list(esk4_0,esk6_0,X1)
| ~ less_than(lookup_slb(esk4_0,esk6_0),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
~ strictly_less_than(esk6_0,lookup_slb(esk4_0,esk6_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
~ less_than(lookup_slb(esk4_0,esk6_0),esk6_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_38]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_34]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV394+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Wed Jun 15 10:59:24 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.24/1.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.44 # Preprocessing time : 0.018 s
% 0.24/1.44
% 0.24/1.44 # Proof found!
% 0.24/1.44 # SZS status Theorem
% 0.24/1.44 # SZS output start CNFRefutation
% See solution above
% 0.24/1.44 # Proof object total steps : 43
% 0.24/1.44 # Proof object clause steps : 24
% 0.24/1.44 # Proof object formula steps : 19
% 0.24/1.44 # Proof object conjectures : 16
% 0.24/1.44 # Proof object clause conjectures : 13
% 0.24/1.44 # Proof object formula conjectures : 3
% 0.24/1.44 # Proof object initial clauses used : 12
% 0.24/1.44 # Proof object initial formulas used : 9
% 0.24/1.44 # Proof object generating inferences : 11
% 0.24/1.44 # Proof object simplifying inferences : 11
% 0.24/1.44 # Training examples: 0 positive, 0 negative
% 0.24/1.44 # Parsed axioms : 44
% 0.24/1.44 # Removed by relevancy pruning/SinE : 0
% 0.24/1.44 # Initial clauses : 58
% 0.24/1.44 # Removed in clause preprocessing : 2
% 0.24/1.44 # Initial clauses in saturation : 56
% 0.24/1.44 # Processed clauses : 867
% 0.24/1.44 # ...of these trivial : 51
% 0.24/1.44 # ...subsumed : 484
% 0.24/1.44 # ...remaining for further processing : 332
% 0.24/1.44 # Other redundant clauses eliminated : 3
% 0.24/1.44 # Clauses deleted for lack of memory : 0
% 0.24/1.44 # Backward-subsumed : 1
% 0.24/1.44 # Backward-rewritten : 0
% 0.24/1.44 # Generated clauses : 7228
% 0.24/1.44 # ...of the previous two non-trivial : 6577
% 0.24/1.44 # Contextual simplify-reflections : 41
% 0.24/1.44 # Paramodulations : 7206
% 0.24/1.44 # Factorizations : 20
% 0.24/1.44 # Equation resolutions : 3
% 0.24/1.44 # Current number of processed clauses : 329
% 0.24/1.44 # Positive orientable unit clauses : 62
% 0.24/1.44 # Positive unorientable unit clauses: 15
% 0.24/1.44 # Negative unit clauses : 48
% 0.24/1.44 # Non-unit-clauses : 204
% 0.24/1.44 # Current number of unprocessed clauses: 5748
% 0.24/1.44 # ...number of literals in the above : 23868
% 0.24/1.44 # Current number of archived formulas : 0
% 0.24/1.44 # Current number of archived clauses : 3
% 0.24/1.44 # Clause-clause subsumption calls (NU) : 8695
% 0.24/1.44 # Rec. Clause-clause subsumption calls : 4052
% 0.24/1.44 # Non-unit clause-clause subsumptions : 108
% 0.24/1.44 # Unit Clause-clause subsumption calls : 3471
% 0.24/1.44 # Rewrite failures with RHS unbound : 171
% 0.24/1.44 # BW rewrite match attempts : 295
% 0.24/1.44 # BW rewrite match successes : 37
% 0.24/1.44 # Condensation attempts : 0
% 0.24/1.44 # Condensation successes : 0
% 0.24/1.44 # Termbank termtop insertions : 161575
% 0.24/1.44
% 0.24/1.44 # -------------------------------------------------
% 0.24/1.44 # User time : 0.153 s
% 0.24/1.44 # System time : 0.007 s
% 0.24/1.44 # Total time : 0.160 s
% 0.24/1.44 # Maximum resident set size: 9628 pages
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: CPU time limit exceeded, terminating
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 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.mepo_128.in
% 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
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 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
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 0.24/23.50 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
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50 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
% 0.24/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------