TSTP Solution File: SWC217+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 20:27:24 EDT 2022
% Result : Theorem 0.18s 1.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 84 ( 27 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 100 ( 38 ~; 31 |; 16 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| neq(X1,nil)
| ( nil != X3
& nil = X4 )
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5) ) )
& neq(X4,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax21,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> nil != cons(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(ax15,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ~ neq(X2,nil)
| neq(X1,nil)
| ( nil != X3
& nil = X4 )
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5) ) )
& neq(X4,nil) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
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
& neq(esk2_0,nil)
& ~ neq(esk1_0,nil)
& ( nil = esk3_0
| nil != esk4_0 )
& ( ssItem(esk5_0)
| ~ neq(esk4_0,nil) )
& ( cons(esk5_0,nil) = esk3_0
| ~ neq(esk4_0,nil) )
& ( memberP(esk4_0,esk5_0)
| ~ neq(esk4_0,nil) ) ),
inference(distribute,[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,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssItem(X4)
| nil != cons(X4,X3) ),
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)],[ax21])])])])]) ).
cnf(c_0_7,negated_conjecture,
( cons(esk5_0,nil) = esk3_0
| ~ neq(esk4_0,nil) ),
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,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
neq(esk2_0,nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( ssItem(esk5_0)
| ~ neq(esk4_0,nil) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_12,plain,
! [X3,X4] :
( ( ~ neq(X3,X4)
| X3 != X4
| ~ ssList(X4)
| ~ ssList(X3) )
& ( X3 = X4
| neq(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
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)],[ax15])])])])])]) ).
cnf(c_0_13,plain,
( nil != cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
cons(esk5_0,nil) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_15,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_16,negated_conjecture,
ssItem(esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_10])]) ).
cnf(c_0_17,negated_conjecture,
~ neq(esk1_0,nil),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
nil != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_15]),c_0_19])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11 % Command : run_ET %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Sat Jun 11 23:21:40 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.18/1.36 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.18/1.36 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.18/1.36 # Preprocessing time : 0.013 s
% 0.18/1.36
% 0.18/1.36 # Proof found!
% 0.18/1.36 # SZS status Theorem
% 0.18/1.36 # SZS output start CNFRefutation
% See solution above
% 0.18/1.36 # Proof object total steps : 22
% 0.18/1.36 # Proof object clause steps : 14
% 0.18/1.36 # Proof object formula steps : 8
% 0.18/1.36 # Proof object conjectures : 14
% 0.18/1.36 # Proof object clause conjectures : 11
% 0.18/1.36 # Proof object formula conjectures : 3
% 0.18/1.36 # Proof object initial clauses used : 10
% 0.18/1.36 # Proof object initial formulas used : 4
% 0.18/1.36 # Proof object generating inferences : 2
% 0.18/1.36 # Proof object simplifying inferences : 14
% 0.18/1.36 # Training examples: 0 positive, 0 negative
% 0.18/1.36 # Parsed axioms : 96
% 0.18/1.36 # Removed by relevancy pruning/SinE : 73
% 0.18/1.36 # Initial clauses : 50
% 0.18/1.36 # Removed in clause preprocessing : 0
% 0.18/1.36 # Initial clauses in saturation : 50
% 0.18/1.36 # Processed clauses : 52
% 0.18/1.36 # ...of these trivial : 2
% 0.18/1.36 # ...subsumed : 0
% 0.18/1.36 # ...remaining for further processing : 49
% 0.18/1.36 # Other redundant clauses eliminated : 4
% 0.18/1.36 # Clauses deleted for lack of memory : 0
% 0.18/1.36 # Backward-subsumed : 0
% 0.18/1.36 # Backward-rewritten : 0
% 0.18/1.36 # Generated clauses : 138
% 0.18/1.36 # ...of the previous two non-trivial : 112
% 0.18/1.36 # Contextual simplify-reflections : 0
% 0.18/1.36 # Paramodulations : 129
% 0.18/1.36 # Factorizations : 0
% 0.18/1.36 # Equation resolutions : 9
% 0.18/1.36 # Current number of processed clauses : 46
% 0.18/1.36 # Positive orientable unit clauses : 11
% 0.18/1.36 # Positive unorientable unit clauses: 0
% 0.18/1.36 # Negative unit clauses : 3
% 0.18/1.36 # Non-unit-clauses : 32
% 0.18/1.36 # Current number of unprocessed clauses: 110
% 0.18/1.36 # ...number of literals in the above : 634
% 0.18/1.36 # Current number of archived formulas : 0
% 0.18/1.36 # Current number of archived clauses : 0
% 0.18/1.36 # Clause-clause subsumption calls (NU) : 102
% 0.18/1.36 # Rec. Clause-clause subsumption calls : 27
% 0.18/1.36 # Non-unit clause-clause subsumptions : 0
% 0.18/1.36 # Unit Clause-clause subsumption calls : 2
% 0.18/1.36 # Rewrite failures with RHS unbound : 0
% 0.18/1.36 # BW rewrite match attempts : 0
% 0.18/1.36 # BW rewrite match successes : 0
% 0.18/1.36 # Condensation attempts : 0
% 0.18/1.36 # Condensation successes : 0
% 0.18/1.36 # Termbank termtop insertions : 6304
% 0.18/1.36
% 0.18/1.36 # -------------------------------------------------
% 0.18/1.36 # User time : 0.014 s
% 0.18/1.36 # System time : 0.002 s
% 0.18/1.36 # Total time : 0.016 s
% 0.18/1.36 # Maximum resident set size: 3180 pages
%------------------------------------------------------------------------------