TSTP Solution File: SWC403+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC403+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Tue Jul 19 20:28:31 EDT 2022
% Result : Theorem 0.26s 4.43s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 18 unt; 0 def)
% Number of atoms : 149 ( 13 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 182 ( 69 ~; 68 |; 26 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 27 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ~ strictorderedP(X3)
| ? [X5] :
( ssList(X5)
& neq(X3,X5)
& segmentP(X4,X5)
& segmentP(X5,X3)
& strictorderedP(X5) )
| ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X1,X6)
| memberP(X2,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',co1) ).
fof(ax36,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(ax7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ segmentP(X4,X3)
| ~ strictorderedP(X3)
| ? [X5] :
( ssList(X5)
& neq(X3,X5)
& segmentP(X4,X5)
& segmentP(X5,X3)
& strictorderedP(X5) )
| ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X1,X6)
| memberP(X2,X6) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_5,negated_conjecture,
! [X11] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& segmentP(esk4_0,esk3_0)
& strictorderedP(esk3_0)
& ( ~ ssList(X11)
| ~ neq(esk3_0,X11)
| ~ segmentP(esk4_0,X11)
| ~ segmentP(X11,esk3_0)
| ~ strictorderedP(X11) )
& ssItem(esk5_0)
& memberP(esk1_0,esk5_0)
& ~ memberP(esk2_0,esk5_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)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])])]) ).
fof(c_0_6,plain,
! [X4,X5,X6] :
( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X5,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[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)],[ax36])])])])])]) ).
cnf(c_0_7,negated_conjecture,
memberP(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,plain,
! [X5,X6,X9,X10] :
( ( ssList(esk15_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk16_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( app(app(esk15_2(X5,X6),X6),esk16_2(X5,X6)) = X5
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ~ ssList(X9)
| ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(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)],[ax7])])])])])])]) ).
cnf(c_0_11,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_13,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X4)
| ssList(app(X3,X4)) ),
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)],[ax26])])])])]) ).
cnf(c_0_14,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
memberP(esk3_0,esk5_0),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_16,negated_conjecture,
ssList(esk3_0),
inference(rw,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_17,negated_conjecture,
ssItem(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( ssList(esk15_2(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
segmentP(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
ssList(esk4_0),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_21,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
( memberP(app(X1,esk3_0),esk5_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_23,negated_conjecture,
ssList(esk15_2(esk4_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
( ssList(app(X1,esk3_0))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_25,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
memberP(app(esk15_2(esk4_0,esk3_0),esk3_0),esk5_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
ssList(app(esk15_2(esk4_0,esk3_0),esk3_0)),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_28,plain,
( ssList(esk16_2(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,plain,
( app(app(esk15_2(X1,X2),X2),esk16_2(X1,X2)) = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,negated_conjecture,
~ memberP(esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_31,negated_conjecture,
( memberP(app(app(esk15_2(esk4_0,esk3_0),esk3_0),X1),esk5_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_17])]) ).
cnf(c_0_32,negated_conjecture,
ssList(esk16_2(esk4_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_16]),c_0_20])]) ).
cnf(c_0_33,negated_conjecture,
app(app(esk15_2(esk4_0,esk3_0),esk3_0),esk16_2(esk4_0,esk3_0)) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_19]),c_0_16]),c_0_20])]) ).
cnf(c_0_34,negated_conjecture,
~ memberP(esk4_0,esk5_0),
inference(rw,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC403+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n005.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 : Sat Jun 11 22:25:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.26/4.43 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.26/4.43 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.26/4.43 # Preprocessing time : 0.020 s
% 0.26/4.43
% 0.26/4.43 # Proof found!
% 0.26/4.43 # SZS status Theorem
% 0.26/4.43 # SZS output start CNFRefutation
% See solution above
% 0.26/4.43 # Proof object total steps : 36
% 0.26/4.43 # Proof object clause steps : 27
% 0.26/4.43 # Proof object formula steps : 9
% 0.26/4.43 # Proof object conjectures : 24
% 0.26/4.43 # Proof object clause conjectures : 21
% 0.26/4.43 # Proof object formula conjectures : 3
% 0.26/4.43 # Proof object initial clauses used : 14
% 0.26/4.43 # Proof object initial formulas used : 4
% 0.26/4.43 # Proof object generating inferences : 9
% 0.26/4.43 # Proof object simplifying inferences : 21
% 0.26/4.43 # Training examples: 0 positive, 0 negative
% 0.26/4.43 # Parsed axioms : 96
% 0.26/4.43 # Removed by relevancy pruning/SinE : 52
% 0.26/4.43 # Initial clauses : 89
% 0.26/4.43 # Removed in clause preprocessing : 1
% 0.26/4.43 # Initial clauses in saturation : 88
% 0.26/4.43 # Processed clauses : 6298
% 0.26/4.43 # ...of these trivial : 126
% 0.26/4.43 # ...subsumed : 236
% 0.26/4.43 # ...remaining for further processing : 5936
% 0.26/4.43 # Other redundant clauses eliminated : 4
% 0.26/4.43 # Clauses deleted for lack of memory : 230012
% 0.26/4.43 # Backward-subsumed : 17
% 0.26/4.43 # Backward-rewritten : 733
% 0.26/4.43 # Generated clauses : 365965
% 0.26/4.43 # ...of the previous two non-trivial : 364532
% 0.26/4.43 # Contextual simplify-reflections : 199
% 0.26/4.43 # Paramodulations : 365661
% 0.26/4.43 # Factorizations : 0
% 0.26/4.43 # Equation resolutions : 180
% 0.26/4.43 # Current number of processed clauses : 5058
% 0.26/4.43 # Positive orientable unit clauses : 690
% 0.26/4.43 # Positive unorientable unit clauses: 0
% 0.26/4.43 # Negative unit clauses : 23
% 0.26/4.43 # Non-unit-clauses : 4345
% 0.26/4.43 # Current number of unprocessed clauses: 98697
% 0.26/4.43 # ...number of literals in the above : 250474
% 0.26/4.43 # Current number of archived formulas : 0
% 0.26/4.43 # Current number of archived clauses : 874
% 0.26/4.43 # Clause-clause subsumption calls (NU) : 747513
% 0.26/4.43 # Rec. Clause-clause subsumption calls : 572279
% 0.26/4.43 # Non-unit clause-clause subsumptions : 421
% 0.26/4.43 # Unit Clause-clause subsumption calls : 54094
% 0.26/4.43 # Rewrite failures with RHS unbound : 0
% 0.26/4.43 # BW rewrite match attempts : 2534
% 0.26/4.43 # BW rewrite match successes : 142
% 0.26/4.43 # Condensation attempts : 0
% 0.26/4.43 # Condensation successes : 0
% 0.26/4.43 # Termbank termtop insertions : 7700552
% 0.26/4.43
% 0.26/4.43 # -------------------------------------------------
% 0.26/4.43 # User time : 3.236 s
% 0.26/4.43 # System time : 0.074 s
% 0.26/4.43 # Total time : 3.310 s
% 0.26/4.43 # Maximum resident set size: 134544 pages
% 0.26/23.40 eprover: CPU time limit exceeded, terminating
% 0.26/23.40 eprover: CPU time limit exceeded, terminating
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.42 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------