TSTP Solution File: SWW209+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW209+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 00:10:18 EDT 2022
% Result : Theorem 0.34s 1.51s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 26 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 4 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 34 ( 3 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
! [X4,X5] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X5)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X4),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X5)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_o__apply,axiom,
! [X11,X1,X2,X10,X8,X9] : hAPP(hAPP(c_Fun_Ocomp(X9,X8,X10,X2),X1),X11) = hAPP(X2,hAPP(X1,X11)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_o__apply) ).
fof(fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096,axiom,
! [X4,X5] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X5)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X4),hAPP(v_f____,X5)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096) ).
fof(fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096,axiom,
! [X4,X5] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X5)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X4),hAPP(v_ga____,X5)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096) ).
fof(c_0_4,negated_conjecture,
~ ! [X4,X5] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4,X5)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X4),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X5)) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_5,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk1_0,esk2_0)
& ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),esk1_0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
! [X12,X13,X14,X15,X16,X17] : hAPP(hAPP(c_Fun_Ocomp(X17,X16,X15,X14),X13),X12) = hAPP(X14,hAPP(X13,X12)),
inference(variable_rename,[status(thm)],[fact_o__apply]) ).
cnf(c_0_7,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),esk1_0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X6,X7] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X6,X7)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X6),hAPP(v_f____,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096])]) ).
cnf(c_0_10,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,esk1_0)),hAPP(v_f____,hAPP(v_ga____,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).
cnf(c_0_11,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X1),hAPP(v_f____,X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X6,X7] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X6,X7)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X6),hAPP(v_ga____,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096])]) ).
cnf(c_0_13,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,esk1_0),hAPP(v_ga____,esk2_0)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X1),hAPP(v_ga____,X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW209+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 4 08:36:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.34/1.51 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.34/1.51 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.34/1.51 # Preprocessing time : 0.036 s
% 0.34/1.51
% 0.34/1.51 # Proof found!
% 0.34/1.51 # SZS status Theorem
% 0.34/1.51 # SZS output start CNFRefutation
% See solution above
% 0.34/1.51 # Proof object total steps : 17
% 0.34/1.51 # Proof object clause steps : 8
% 0.34/1.51 # Proof object formula steps : 9
% 0.34/1.51 # Proof object conjectures : 8
% 0.34/1.51 # Proof object clause conjectures : 5
% 0.34/1.51 # Proof object formula conjectures : 3
% 0.34/1.51 # Proof object initial clauses used : 5
% 0.34/1.51 # Proof object initial formulas used : 4
% 0.34/1.51 # Proof object generating inferences : 2
% 0.34/1.51 # Proof object simplifying inferences : 4
% 0.34/1.51 # Training examples: 0 positive, 0 negative
% 0.34/1.51 # Parsed axioms : 1161
% 0.34/1.51 # Removed by relevancy pruning/SinE : 1060
% 0.34/1.51 # Initial clauses : 142
% 0.34/1.51 # Removed in clause preprocessing : 10
% 0.34/1.51 # Initial clauses in saturation : 132
% 0.34/1.51 # Processed clauses : 141
% 0.34/1.51 # ...of these trivial : 2
% 0.34/1.51 # ...subsumed : 32
% 0.34/1.51 # ...remaining for further processing : 107
% 0.34/1.51 # Other redundant clauses eliminated : 13
% 0.34/1.51 # Clauses deleted for lack of memory : 0
% 0.34/1.51 # Backward-subsumed : 1
% 0.34/1.51 # Backward-rewritten : 1
% 0.34/1.51 # Generated clauses : 874
% 0.34/1.51 # ...of the previous two non-trivial : 734
% 0.34/1.51 # Contextual simplify-reflections : 3
% 0.34/1.51 # Paramodulations : 850
% 0.34/1.51 # Factorizations : 4
% 0.34/1.51 # Equation resolutions : 20
% 0.34/1.51 # Current number of processed clauses : 97
% 0.34/1.51 # Positive orientable unit clauses : 25
% 0.34/1.51 # Positive unorientable unit clauses: 5
% 0.34/1.51 # Negative unit clauses : 7
% 0.34/1.51 # Non-unit-clauses : 60
% 0.34/1.51 # Current number of unprocessed clauses: 725
% 0.34/1.51 # ...number of literals in the above : 1530
% 0.34/1.51 # Current number of archived formulas : 0
% 0.34/1.51 # Current number of archived clauses : 2
% 0.34/1.51 # Clause-clause subsumption calls (NU) : 837
% 0.34/1.51 # Rec. Clause-clause subsumption calls : 825
% 0.34/1.51 # Non-unit clause-clause subsumptions : 31
% 0.34/1.51 # Unit Clause-clause subsumption calls : 66
% 0.34/1.51 # Rewrite failures with RHS unbound : 0
% 0.34/1.51 # BW rewrite match attempts : 75
% 0.34/1.51 # BW rewrite match successes : 26
% 0.34/1.51 # Condensation attempts : 0
% 0.34/1.51 # Condensation successes : 0
% 0.34/1.51 # Termbank termtop insertions : 40491
% 0.34/1.51
% 0.34/1.51 # -------------------------------------------------
% 0.34/1.51 # User time : 0.047 s
% 0.34/1.51 # System time : 0.003 s
% 0.34/1.51 # Total time : 0.050 s
% 0.34/1.51 # Maximum resident set size: 5548 pages
%------------------------------------------------------------------------------