TSTP Solution File: SWV401+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 18:16:28 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 110 ( 22 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 102 ( 36 ~; 42 |; 14 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 123 ( 15 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(stricly_smaller_definition,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(ax29,axiom,
! [X1,X2,X3,X4] :
( strictly_less_than(X4,X3)
=> update_slb(insert_slb(X1,pair(X2,X4)),X3) = insert_slb(update_slb(X1,X3),pair(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax29) ).
fof(l37_co,conjecture,
! [X1] :
( ! [X2,X3,X4] :
( ( pair_in_list(X1,X2,X3)
& less_than(X4,X3) )
=> pair_in_list(update_slb(X1,X4),X2,X3) )
=> ! [X5,X6,X7,X8,X9] :
( ( pair_in_list(insert_slb(X1,pair(X8,X9)),X5,X6)
& less_than(X7,X6) )
=> pair_in_list(update_slb(insert_slb(X1,pair(X8,X9)),X7),X5,X6) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l37_co) ).
fof(ax30,axiom,
! [X1,X2,X3,X4] :
( less_than(X3,X4)
=> update_slb(insert_slb(X1,pair(X2,X4)),X3) = insert_slb(update_slb(X1,X3),pair(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax30) ).
fof(reflexivity,axiom,
! [X1] : less_than(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',reflexivity) ).
fof(ax23,axiom,
! [X1,X2,X3,X4,X5] :
( pair_in_list(insert_slb(X1,pair(X2,X4)),X3,X5)
<=> ( pair_in_list(X1,X3,X5)
| ( X2 = X3
& X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).
fof(c_0_7,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_8,plain,
! [X3,X4] :
( less_than(X3,X4)
| less_than(X4,X3) ),
inference(variable_rename,[status(thm)],[totality]) ).
fof(c_0_9,plain,
! [X5,X6,X7,X8] :
( ~ strictly_less_than(X8,X7)
| update_slb(insert_slb(X5,pair(X6,X8)),X7) = insert_slb(update_slb(X5,X7),pair(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).
cnf(c_0_10,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ! [X2,X3,X4] :
( ( pair_in_list(X1,X2,X3)
& less_than(X4,X3) )
=> pair_in_list(update_slb(X1,X4),X2,X3) )
=> ! [X5,X6,X7,X8,X9] :
( ( pair_in_list(insert_slb(X1,pair(X8,X9)),X5,X6)
& less_than(X7,X6) )
=> pair_in_list(update_slb(insert_slb(X1,pair(X8,X9)),X7),X5,X6) ) ),
inference(assume_negation,[status(cth)],[l37_co]) ).
fof(c_0_13,plain,
! [X5,X6,X7,X8] :
( ~ less_than(X7,X8)
| update_slb(insert_slb(X5,pair(X6,X8)),X7) = insert_slb(update_slb(X5,X7),pair(X6,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).
cnf(c_0_14,plain,
( update_slb(insert_slb(X1,pair(X2,X3)),X4) = insert_slb(update_slb(X1,X4),pair(X2,X4))
| ~ strictly_less_than(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_16,plain,
! [X2] : less_than(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_17,plain,
! [X6,X7,X8,X9,X10,X6,X7,X8,X9,X10] :
( ( X7 = X8
| pair_in_list(X6,X8,X10)
| ~ pair_in_list(insert_slb(X6,pair(X7,X9)),X8,X10) )
& ( X9 = X10
| pair_in_list(X6,X8,X10)
| ~ pair_in_list(insert_slb(X6,pair(X7,X9)),X8,X10) )
& ( ~ pair_in_list(X6,X8,X10)
| pair_in_list(insert_slb(X6,pair(X7,X9)),X8,X10) )
& ( X7 != X8
| X9 != X10
| pair_in_list(insert_slb(X6,pair(X7,X9)),X8,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])])]) ).
fof(c_0_18,negated_conjecture,
! [X11,X12,X13] :
( ( ~ pair_in_list(esk1_0,X11,X12)
| ~ less_than(X13,X12)
| pair_in_list(update_slb(esk1_0,X13),X11,X12) )
& pair_in_list(insert_slb(esk1_0,pair(esk5_0,esk6_0)),esk2_0,esk3_0)
& less_than(esk4_0,esk3_0)
& ~ pair_in_list(update_slb(insert_slb(esk1_0,pair(esk5_0,esk6_0)),esk4_0),esk2_0,esk3_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_12])])])])])]) ).
cnf(c_0_19,plain,
( update_slb(insert_slb(X1,pair(X2,X3)),X4) = insert_slb(update_slb(X1,X4),pair(X2,X3))
| ~ less_than(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( update_slb(insert_slb(X1,pair(X2,X3)),X4) = insert_slb(update_slb(X1,X4),pair(X2,X4))
| less_than(X4,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
less_than(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5)
| ~ pair_in_list(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
~ pair_in_list(update_slb(insert_slb(esk1_0,pair(esk5_0,esk6_0)),esk4_0),esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( update_slb(insert_slb(X1,pair(X2,X3)),X4) = update_slb(insert_slb(X1,pair(X2,X4)),X4)
| less_than(X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_25,plain,
( pair_in_list(update_slb(insert_slb(X1,pair(X2,X3)),X4),X5,X6)
| ~ pair_in_list(update_slb(X1,X4),X5,X6)
| ~ less_than(X4,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( less_than(esk4_0,esk6_0)
| ~ pair_in_list(update_slb(insert_slb(esk1_0,pair(esk5_0,esk4_0)),esk4_0),esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,esk3_0)
| ~ less_than(esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_28,plain,
( pair_in_list(X1,X4,X5)
| X3 = X5
| ~ pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,negated_conjecture,
pair_in_list(insert_slb(esk1_0,pair(esk5_0,esk6_0)),esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,negated_conjecture,
~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_21])]),c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( pair_in_list(update_slb(esk1_0,X1),X2,X3)
| ~ less_than(X1,X3)
| ~ pair_in_list(esk1_0,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,negated_conjecture,
less_than(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_33,plain,
( pair_in_list(X1,X4,X5)
| X2 = X4
| ~ pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_34,negated_conjecture,
( esk6_0 = esk3_0
| pair_in_list(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
~ pair_in_list(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_36,negated_conjecture,
( esk2_0 = esk5_0
| pair_in_list(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_29]) ).
cnf(c_0_37,plain,
( pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5)
| X3 != X5
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_38,negated_conjecture,
esk6_0 = esk3_0,
inference(sr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
esk2_0 = esk5_0,
inference(sr,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_40,plain,
pair_in_list(insert_slb(X1,pair(X2,X3)),X2,X3),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).
cnf(c_0_41,negated_conjecture,
~ pair_in_list(update_slb(insert_slb(esk1_0,pair(esk5_0,esk3_0)),esk4_0),esk5_0,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_38]),c_0_39]) ).
cnf(c_0_42,plain,
( pair_in_list(update_slb(insert_slb(X1,pair(X2,X3)),X4),X2,X3)
| ~ less_than(X4,X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_19]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 18:09:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.41 # Preprocessing time : 0.015 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 : 44
% 0.22/1.41 # Proof object clause steps : 29
% 0.22/1.41 # Proof object formula steps : 15
% 0.22/1.41 # Proof object conjectures : 17
% 0.22/1.41 # Proof object clause conjectures : 14
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 13
% 0.22/1.41 # Proof object initial formulas used : 7
% 0.22/1.41 # Proof object generating inferences : 11
% 0.22/1.41 # Proof object simplifying inferences : 16
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 19
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 29
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 29
% 0.22/1.41 # Processed clauses : 456
% 0.22/1.41 # ...of these trivial : 6
% 0.22/1.41 # ...subsumed : 120
% 0.22/1.41 # ...remaining for further processing : 330
% 0.22/1.41 # Other redundant clauses eliminated : 3
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 16
% 0.22/1.41 # Backward-rewritten : 18
% 0.22/1.41 # Generated clauses : 9078
% 0.22/1.41 # ...of the previous two non-trivial : 4922
% 0.22/1.41 # Contextual simplify-reflections : 71
% 0.22/1.41 # Paramodulations : 9041
% 0.22/1.41 # Factorizations : 28
% 0.22/1.41 # Equation resolutions : 5
% 0.22/1.41 # Current number of processed clauses : 291
% 0.22/1.41 # Positive orientable unit clauses : 82
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 6
% 0.22/1.41 # Non-unit-clauses : 203
% 0.22/1.41 # Current number of unprocessed clauses: 4043
% 0.22/1.41 # ...number of literals in the above : 13319
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 36
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 7727
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 6548
% 0.22/1.41 # Non-unit clause-clause subsumptions : 188
% 0.22/1.41 # Unit Clause-clause subsumption calls : 841
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 3225
% 0.22/1.41 # BW rewrite match successes : 10
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 171808
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.130 s
% 0.22/1.41 # System time : 0.003 s
% 0.22/1.41 # Total time : 0.133 s
% 0.22/1.41 # Maximum resident set size: 7132 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------