TSTP Solution File: SWC353+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC353+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 20:28:13 EDT 2022
% Result : Theorem 0.26s 1.45s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 92 ( 30 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 113 ( 37 ~; 35 |; 28 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 19 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ( app(X3,X5) != X4
| ~ totalorderedP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(X9,cons(X8,nil)) = X3
& leq(X8,X6) ) ) ) ) ) )
| frontsegP(X2,X1)
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& app(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(c_0_2,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ( app(X3,X5) != X4
| ~ totalorderedP(X3)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(cons(X6,nil),X7) = X5
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(X9,cons(X8,nil)) = X3
& leq(X8,X6) ) ) ) ) ) )
| frontsegP(X2,X1)
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_3,negated_conjecture,
! [X15,X16,X17,X18] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ssList(esk5_0)
& app(esk3_0,esk5_0) = esk4_0
& totalorderedP(esk3_0)
& ( ~ ssItem(X15)
| ~ ssList(X16)
| app(cons(X15,nil),X16) != esk5_0
| ~ ssItem(X17)
| ~ ssList(X18)
| app(X18,cons(X17,nil)) != esk3_0
| ~ leq(X17,X15) )
& ~ frontsegP(esk2_0,esk1_0)
& ( nil = esk4_0
| nil != 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)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])]) ).
fof(c_0_4,plain,
! [X4,X5,X7] :
( ( ssList(esk8_2(X4,X5))
| ~ frontsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) )
& ( app(X5,esk8_2(X4,X5)) = X4
| ~ frontsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) )
& ( ~ ssList(X7)
| app(X5,X7) != X4
| frontsegP(X4,X5)
| ~ ssList(X5)
| ~ ssList(X4) ) ),
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)],[ax5])])])])])])]) ).
cnf(c_0_5,negated_conjecture,
app(esk3_0,esk5_0) = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
( frontsegP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X3) != X1
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
app(esk1_0,esk5_0) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_10,negated_conjecture,
ssList(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
ssList(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
~ frontsegP(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
( frontsegP(X1,esk1_0)
| esk2_0 != X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
ssList(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWC353+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 11 20:14:07 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.45 # Preprocessing time : 0.022 s
% 0.26/1.45
% 0.26/1.45 # Proof found!
% 0.26/1.45 # SZS status Theorem
% 0.26/1.45 # SZS output start CNFRefutation
% See solution above
% 0.26/1.45 # Proof object total steps : 16
% 0.26/1.45 # Proof object clause steps : 11
% 0.26/1.45 # Proof object formula steps : 5
% 0.26/1.45 # Proof object conjectures : 13
% 0.26/1.45 # Proof object clause conjectures : 10
% 0.26/1.45 # Proof object formula conjectures : 3
% 0.26/1.45 # Proof object initial clauses used : 8
% 0.26/1.45 # Proof object initial formulas used : 2
% 0.26/1.45 # Proof object generating inferences : 2
% 0.26/1.45 # Proof object simplifying inferences : 7
% 0.26/1.45 # Training examples: 0 positive, 0 negative
% 0.26/1.45 # Parsed axioms : 96
% 0.26/1.45 # Removed by relevancy pruning/SinE : 48
% 0.26/1.45 # Initial clauses : 86
% 0.26/1.45 # Removed in clause preprocessing : 1
% 0.26/1.45 # Initial clauses in saturation : 85
% 0.26/1.45 # Processed clauses : 132
% 0.26/1.45 # ...of these trivial : 2
% 0.26/1.45 # ...subsumed : 19
% 0.26/1.45 # ...remaining for further processing : 111
% 0.26/1.45 # Other redundant clauses eliminated : 7
% 0.26/1.45 # Clauses deleted for lack of memory : 0
% 0.26/1.45 # Backward-subsumed : 1
% 0.26/1.45 # Backward-rewritten : 0
% 0.26/1.45 # Generated clauses : 362
% 0.26/1.45 # ...of the previous two non-trivial : 297
% 0.26/1.45 # Contextual simplify-reflections : 25
% 0.26/1.45 # Paramodulations : 348
% 0.26/1.45 # Factorizations : 0
% 0.26/1.45 # Equation resolutions : 14
% 0.26/1.45 # Current number of processed clauses : 108
% 0.26/1.45 # Positive orientable unit clauses : 12
% 0.26/1.45 # Positive unorientable unit clauses: 0
% 0.26/1.45 # Negative unit clauses : 3
% 0.26/1.45 # Non-unit-clauses : 93
% 0.26/1.45 # Current number of unprocessed clauses: 249
% 0.26/1.45 # ...number of literals in the above : 1541
% 0.26/1.45 # Current number of archived formulas : 0
% 0.26/1.45 # Current number of archived clauses : 1
% 0.26/1.45 # Clause-clause subsumption calls (NU) : 1590
% 0.26/1.45 # Rec. Clause-clause subsumption calls : 495
% 0.26/1.45 # Non-unit clause-clause subsumptions : 39
% 0.26/1.45 # Unit Clause-clause subsumption calls : 31
% 0.26/1.45 # Rewrite failures with RHS unbound : 0
% 0.26/1.45 # BW rewrite match attempts : 0
% 0.26/1.45 # BW rewrite match successes : 0
% 0.26/1.45 # Condensation attempts : 0
% 0.26/1.45 # Condensation successes : 0
% 0.26/1.45 # Termbank termtop insertions : 13061
% 0.26/1.45
% 0.26/1.45 # -------------------------------------------------
% 0.26/1.45 # User time : 0.037 s
% 0.26/1.45 # System time : 0.004 s
% 0.26/1.45 # Total time : 0.041 s
% 0.26/1.45 # Maximum resident set size: 3492 pages
%------------------------------------------------------------------------------