TSTP Solution File: SWW343+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW343+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Thu Jul 21 00:10:36 EDT 2022
% Result : Theorem 1.00s 2.18s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_evaln_OBody,axiom,
! [X7,X5,X8,X9] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X9)),X8,X5,X7)
=> c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X9),X8,hAPP(c_Nat_OSuc,X5),X7) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_evaln_OBody) ).
fof(conj_1,hypothesis,
! [X42,X43] :
( v_P(X42,X43)
=> ! [X44] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X43,hAPP(c_Nat_OSuc,v_na),X44)
=> v_Q(X42,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X44),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X44),c_Com_ORes))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_1) ).
fof(conj_3,hypothesis,
c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_3) ).
fof(conj_4,conjecture,
v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_4) ).
fof(conj_2,hypothesis,
v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_2) ).
fof(c_0_5,plain,
! [X10,X11,X12,X13] :
( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X13)),X12,X11,X10)
| c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X13),X12,hAPP(c_Nat_OSuc,X11),X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evaln_OBody])]) ).
fof(c_0_6,hypothesis,
! [X45,X46,X47] :
( ~ v_P(X45,X46)
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X46,hAPP(c_Nat_OSuc,v_na),X47)
| v_Q(X45,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X47),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X47),c_Com_ORes))) ),
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)],[conj_1])])])])]) ).
cnf(c_0_7,plain,
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,hAPP(c_Nat_OSuc,X3),X4)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)),X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
inference(split_conjunct,[status(thm)],[conj_3]) ).
fof(c_0_9,negated_conjecture,
~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
inference(assume_negation,[status(cth)],[conj_4]) ).
cnf(c_0_10,hypothesis,
( v_Q(X1,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes)))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X3,hAPP(c_Nat_OSuc,v_na),X2)
| ~ v_P(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),hAPP(c_Nat_OSuc,v_na),v_s1),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
fof(c_0_12,negated_conjecture,
~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
( v_Q(X1,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes)))
| ~ v_P(X1,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,hypothesis,
v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
inference(split_conjunct,[status(thm)],[conj_2]) ).
cnf(c_0_15,negated_conjecture,
~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWW343+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.15 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 5 07:00:06 EDT 2022
% 0.15/0.37 % CPUTime :
% 1.00/2.18 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.00/2.18 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.00/2.18 # Preprocessing time : 0.157 s
% 1.00/2.18
% 1.00/2.18 # Proof found!
% 1.00/2.18 # SZS status Theorem
% 1.00/2.18 # SZS output start CNFRefutation
% See solution above
% 1.00/2.18 # Proof object total steps : 17
% 1.00/2.18 # Proof object clause steps : 8
% 1.00/2.18 # Proof object formula steps : 9
% 1.00/2.18 # Proof object conjectures : 4
% 1.00/2.18 # Proof object clause conjectures : 1
% 1.00/2.18 # Proof object formula conjectures : 3
% 1.00/2.18 # Proof object initial clauses used : 5
% 1.00/2.18 # Proof object initial formulas used : 5
% 1.00/2.18 # Proof object generating inferences : 3
% 1.00/2.18 # Proof object simplifying inferences : 1
% 1.00/2.18 # Training examples: 0 positive, 0 negative
% 1.00/2.18 # Parsed axioms : 5209
% 1.00/2.18 # Removed by relevancy pruning/SinE : 5031
% 1.00/2.18 # Initial clauses : 266
% 1.00/2.18 # Removed in clause preprocessing : 11
% 1.00/2.18 # Initial clauses in saturation : 255
% 1.00/2.18 # Processed clauses : 1064
% 1.00/2.18 # ...of these trivial : 47
% 1.00/2.18 # ...subsumed : 405
% 1.00/2.18 # ...remaining for further processing : 612
% 1.00/2.18 # Other redundant clauses eliminated : 140
% 1.00/2.18 # Clauses deleted for lack of memory : 0
% 1.00/2.18 # Backward-subsumed : 3
% 1.00/2.18 # Backward-rewritten : 91
% 1.00/2.18 # Generated clauses : 12856
% 1.00/2.18 # ...of the previous two non-trivial : 11984
% 1.00/2.18 # Contextual simplify-reflections : 6
% 1.00/2.18 # Paramodulations : 12589
% 1.00/2.18 # Factorizations : 2
% 1.00/2.18 # Equation resolutions : 265
% 1.00/2.18 # Current number of processed clauses : 514
% 1.00/2.18 # Positive orientable unit clauses : 145
% 1.00/2.18 # Positive unorientable unit clauses: 20
% 1.00/2.18 # Negative unit clauses : 63
% 1.00/2.18 # Non-unit-clauses : 286
% 1.00/2.18 # Current number of unprocessed clauses: 9860
% 1.00/2.18 # ...number of literals in the above : 22349
% 1.00/2.18 # Current number of archived formulas : 0
% 1.00/2.18 # Current number of archived clauses : 94
% 1.00/2.18 # Clause-clause subsumption calls (NU) : 27431
% 1.00/2.18 # Rec. Clause-clause subsumption calls : 19788
% 1.00/2.18 # Non-unit clause-clause subsumptions : 267
% 1.00/2.18 # Unit Clause-clause subsumption calls : 1105
% 1.00/2.18 # Rewrite failures with RHS unbound : 86
% 1.00/2.18 # BW rewrite match attempts : 1769
% 1.00/2.18 # BW rewrite match successes : 58
% 1.00/2.18 # Condensation attempts : 0
% 1.00/2.18 # Condensation successes : 0
% 1.00/2.18 # Termbank termtop insertions : 747465
% 1.00/2.18
% 1.00/2.18 # -------------------------------------------------
% 1.00/2.18 # User time : 0.351 s
% 1.00/2.18 # System time : 0.012 s
% 1.00/2.18 # Total time : 0.363 s
% 1.00/2.18 # Maximum resident set size: 21692 pages
%------------------------------------------------------------------------------