TSTP Solution File: SWC378+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC378+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 20:28:22 EDT 2022
% Result : Theorem 0.25s 9.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 143 ( 24 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 166 ( 63 ~; 70 |; 18 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| app(X5,X6) != X4
| app(X6,X5) != X3 ) )
| ! [X7] :
( ~ ssItem(X7)
| ( ~ memberP(X2,X7)
& ~ memberP(X1,X7) )
| ( memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',co1) ).
fof(ax82,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).
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(c_0_3,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| app(X5,X6) != X4
| app(X6,X5) != X3 ) )
| ! [X7] :
( ~ ssItem(X7)
| ( ~ memberP(X2,X7)
& ~ memberP(X1,X7) )
| ( memberP(X2,X7)
& memberP(X1,X7) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_4,plain,
! [X4,X5,X6] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
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)],[ax82])])])])]) ).
fof(c_0_5,negated_conjecture,
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ssList(esk5_0)
& ssList(esk6_0)
& app(esk5_0,esk6_0) = esk4_0
& app(esk6_0,esk5_0) = esk3_0
& ssItem(esk7_0)
& ( memberP(esk2_0,esk7_0)
| memberP(esk1_0,esk7_0) )
& ( ~ memberP(esk2_0,esk7_0)
| ~ memberP(esk1_0,esk7_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)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])]) ).
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,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
ssList(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
app(esk5_0,esk6_0) = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,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_12,negated_conjecture,
( memberP(esk1_0,esk7_0)
| memberP(esk2_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
ssItem(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( app(app(X1,X2),esk6_0) = app(X1,app(X2,esk6_0))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_16,negated_conjecture,
ssList(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
app(esk5_0,esk6_0) = esk2_0,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_18,negated_conjecture,
app(esk6_0,esk5_0) = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( memberP(app(X1,esk2_0),esk7_0)
| memberP(esk1_0,esk7_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
( app(app(X1,esk5_0),esk6_0) = app(X1,esk2_0)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_22,negated_conjecture,
app(esk6_0,esk5_0) = esk1_0,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( memberP(app(esk6_0,esk2_0),esk7_0)
| memberP(esk1_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_8]) ).
cnf(c_0_24,negated_conjecture,
app(esk6_0,esk2_0) = app(esk1_0,esk6_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_8]),c_0_22]) ).
cnf(c_0_25,plain,
( memberP(X3,X1)
| memberP(X2,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(app(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
( memberP(app(esk1_0,esk6_0),esk7_0)
| memberP(esk1_0,esk7_0) ),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,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_29,negated_conjecture,
( memberP(esk6_0,esk7_0)
| memberP(esk1_0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_8]),c_0_27]),c_0_14])]) ).
cnf(c_0_30,negated_conjecture,
( memberP(app(esk6_0,X1),esk7_0)
| memberP(esk1_0,esk7_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_8]),c_0_14])]) ).
cnf(c_0_31,negated_conjecture,
( memberP(esk5_0,X1)
| memberP(esk6_0,X1)
| ~ memberP(esk1_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_16]),c_0_8])]) ).
cnf(c_0_32,negated_conjecture,
memberP(esk1_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_16]),c_0_22])]) ).
cnf(c_0_33,negated_conjecture,
( memberP(esk6_0,esk7_0)
| memberP(esk5_0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_14])]) ).
cnf(c_0_34,negated_conjecture,
( ~ memberP(esk1_0,esk7_0)
| ~ memberP(esk2_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_35,negated_conjecture,
( memberP(app(X1,esk6_0),esk7_0)
| memberP(esk5_0,esk7_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_33]),c_0_8]),c_0_14])]) ).
cnf(c_0_36,negated_conjecture,
~ memberP(esk2_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_32])]) ).
cnf(c_0_37,negated_conjecture,
memberP(esk5_0,esk7_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_16]),c_0_17]),c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( memberP(app(esk5_0,X1),esk7_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_37]),c_0_16]),c_0_14])]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_8]),c_0_17]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC378+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 : Sun Jun 12 06:10:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.25/9.43 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.25/9.43 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.25/9.43 # Preprocessing time : 0.018 s
% 0.25/9.43
% 0.25/9.43 # Proof found!
% 0.25/9.43 # SZS status Theorem
% 0.25/9.43 # SZS output start CNFRefutation
% See solution above
% 0.25/9.43 # Proof object total steps : 40
% 0.25/9.43 # Proof object clause steps : 33
% 0.25/9.43 # Proof object formula steps : 7
% 0.25/9.43 # Proof object conjectures : 32
% 0.25/9.43 # Proof object clause conjectures : 29
% 0.25/9.43 # Proof object formula conjectures : 3
% 0.25/9.43 # Proof object initial clauses used : 15
% 0.25/9.43 # Proof object initial formulas used : 3
% 0.25/9.43 # Proof object generating inferences : 14
% 0.25/9.43 # Proof object simplifying inferences : 34
% 0.25/9.43 # Training examples: 0 positive, 0 negative
% 0.25/9.43 # Parsed axioms : 96
% 0.25/9.43 # Removed by relevancy pruning/SinE : 75
% 0.25/9.43 # Initial clauses : 47
% 0.25/9.43 # Removed in clause preprocessing : 0
% 0.25/9.43 # Initial clauses in saturation : 47
% 0.25/9.43 # Processed clauses : 5748
% 0.25/9.43 # ...of these trivial : 119
% 0.25/9.43 # ...subsumed : 145
% 0.25/9.43 # ...remaining for further processing : 5484
% 0.25/9.43 # Other redundant clauses eliminated : 1
% 0.25/9.43 # Clauses deleted for lack of memory : 691991
% 0.25/9.43 # Backward-subsumed : 7
% 0.25/9.43 # Backward-rewritten : 1430
% 0.25/9.43 # Generated clauses : 845873
% 0.25/9.43 # ...of the previous two non-trivial : 840897
% 0.25/9.43 # Contextual simplify-reflections : 262
% 0.25/9.43 # Paramodulations : 845660
% 0.25/9.43 # Factorizations : 0
% 0.25/9.43 # Equation resolutions : 213
% 0.25/9.43 # Current number of processed clauses : 4046
% 0.25/9.43 # Positive orientable unit clauses : 2226
% 0.25/9.43 # Positive unorientable unit clauses: 0
% 0.25/9.43 # Negative unit clauses : 26
% 0.25/9.43 # Non-unit-clauses : 1794
% 0.25/9.43 # Current number of unprocessed clauses: 103360
% 0.25/9.43 # ...number of literals in the above : 269889
% 0.25/9.43 # Current number of archived formulas : 0
% 0.25/9.43 # Current number of archived clauses : 1437
% 0.25/9.43 # Clause-clause subsumption calls (NU) : 794202
% 0.25/9.43 # Rec. Clause-clause subsumption calls : 687229
% 0.25/9.43 # Non-unit clause-clause subsumptions : 414
% 0.25/9.43 # Unit Clause-clause subsumption calls : 348661
% 0.25/9.43 # Rewrite failures with RHS unbound : 0
% 0.25/9.43 # BW rewrite match attempts : 486225
% 0.25/9.43 # BW rewrite match successes : 133
% 0.25/9.43 # Condensation attempts : 0
% 0.25/9.43 # Condensation successes : 0
% 0.25/9.43 # Termbank termtop insertions : 26192872
% 0.25/9.43
% 0.25/9.43 # -------------------------------------------------
% 0.25/9.43 # User time : 8.060 s
% 0.25/9.43 # System time : 0.127 s
% 0.25/9.43 # Total time : 8.187 s
% 0.25/9.43 # Maximum resident set size: 138212 pages
% 0.25/23.39 eprover: CPU time limit exceeded, terminating
% 0.25/23.39 eprover: CPU time limit exceeded, terminating
% 0.25/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.41 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------