TSTP Solution File: SWC408+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.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 20:28:33 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 69 ( 13 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 82 ( 29 ~; 28 |; 11 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X4,X4) != X3
| X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X2,X5)
| memberP(X1,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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(c_0_2,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X4,X4) != X3
| X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X2,X5)
| memberP(X1,X5) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_3,negated_conjecture,
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& app(esk4_0,esk4_0) = esk3_0
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ssItem(esk5_0)
& memberP(esk2_0,esk5_0)
& ~ memberP(esk1_0,esk5_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_2])])])])])]) ).
fof(c_0_4,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_5,negated_conjecture,
app(esk4_0,esk4_0) = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
app(esk2_0,esk2_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]),c_0_7]) ).
cnf(c_0_10,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( memberP(esk1_0,X1)
| ~ memberP(esk2_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_12,negated_conjecture,
memberP(esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
ssItem(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,negated_conjecture,
~ memberP(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n009.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 : Sun Jun 12 15:46:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.018 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 : 16
% 0.22/1.41 # Proof object clause steps : 11
% 0.22/1.41 # Proof object formula steps : 5
% 0.22/1.41 # Proof object conjectures : 13
% 0.22/1.41 # Proof object clause conjectures : 10
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 8
% 0.22/1.41 # Proof object initial formulas used : 2
% 0.22/1.41 # Proof object generating inferences : 2
% 0.22/1.41 # Proof object simplifying inferences : 8
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 96
% 0.22/1.41 # Removed by relevancy pruning/SinE : 75
% 0.22/1.41 # Initial clauses : 44
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 44
% 0.22/1.41 # Processed clauses : 53
% 0.22/1.41 # ...of these trivial : 2
% 0.22/1.41 # ...subsumed : 1
% 0.22/1.41 # ...remaining for further processing : 50
% 0.22/1.41 # Other redundant clauses eliminated : 2
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 0
% 0.22/1.41 # Generated clauses : 182
% 0.22/1.41 # ...of the previous two non-trivial : 148
% 0.22/1.41 # Contextual simplify-reflections : 0
% 0.22/1.41 # Paramodulations : 175
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 7
% 0.22/1.41 # Current number of processed clauses : 49
% 0.22/1.41 # Positive orientable unit clauses : 13
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 2
% 0.22/1.41 # Non-unit-clauses : 34
% 0.22/1.41 # Current number of unprocessed clauses: 139
% 0.22/1.41 # ...number of literals in the above : 735
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 0
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 89
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 30
% 0.22/1.41 # Non-unit clause-clause subsumptions : 1
% 0.22/1.41 # Unit Clause-clause subsumption calls : 0
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 0
% 0.22/1.41 # BW rewrite match successes : 0
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 6620
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.021 s
% 0.22/1.41 # System time : 0.004 s
% 0.22/1.41 # Total time : 0.024 s
% 0.22/1.41 # Maximum resident set size: 3156 pages
%------------------------------------------------------------------------------