TSTP Solution File: SWW209+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW209+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:08:48 EDT 2023
% Result : Theorem 0.57s 0.77s
% Output : CNFRefutation 0.57s
% 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/sandbox/tmp/tmp.YIW9MWjEtt/E---3.1_27964.p',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/sandbox/tmp/tmp.YIW9MWjEtt/E---3.1_27964.p',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/sandbox/tmp/tmp.YIW9MWjEtt/E---3.1_27964.p',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/sandbox/tmp/tmp.YIW9MWjEtt/E---3.1_27964.p',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,
! [X252,X253,X254,X255,X256,X257] : hAPP(hAPP(c_Fun_Ocomp(X257,X256,X255,X254),X253),X252) = hAPP(X254,hAPP(X253,X252)),
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,
! [X294,X295] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X294,X295)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X294),hAPP(v_f____,X295)) ),
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,
! [X243,X244] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X243,X244)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X243),hAPP(v_ga____,X244)) ),
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
% 0.24/0.24 % Problem : SWW209+1 : TPTP v8.1.2. Released v5.2.0.
% 0.24/0.25 % Command : run_E %s %d THM
% 0.26/0.46 % Computer : n031.cluster.edu
% 0.26/0.46 % Model : x86_64 x86_64
% 0.26/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.46 % Memory : 8042.1875MB
% 0.26/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.26/0.46 % CPULimit : 2400
% 0.26/0.46 % WCLimit : 300
% 0.26/0.46 % DateTime : Mon Oct 2 22:37:28 EDT 2023
% 0.26/0.46 % CPUTime :
% 0.44/0.70 Running first-order theorem proving
% 0.44/0.70 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.YIW9MWjEtt/E---3.1_27964.p
% 0.57/0.77 # Version: 3.1pre001
% 0.57/0.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.57/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.57/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.57/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.57/0.77 # Starting new_bool_1 with 300s (1) cores
% 0.57/0.77 # Starting sh5l with 300s (1) cores
% 0.57/0.77 # new_bool_3 with pid 28043 completed with status 0
% 0.57/0.77 # Result found by new_bool_3
% 0.57/0.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.57/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.57/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.57/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.57/0.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.57/0.77 # Search class: FGHSM-FSLS31-DFFFFFNN
% 0.57/0.77 # partial match(1): FGHSM-FSLM31-DFFFFFNN
% 0.57/0.77 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.57/0.77 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.57/0.77 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 28046 completed with status 0
% 0.57/0.77 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.57/0.77 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.57/0.77 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.57/0.77 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.57/0.77 # Starting new_bool_3 with 300s (1) cores
% 0.57/0.77 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.57/0.77 # Search class: FGHSM-FSLS31-DFFFFFNN
% 0.57/0.77 # partial match(1): FGHSM-FSLM31-DFFFFFNN
% 0.57/0.77 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.57/0.77 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.57/0.77 # Preprocessing time : 0.006 s
% 0.57/0.77 # Presaturation interreduction done
% 0.57/0.77
% 0.57/0.77 # Proof found!
% 0.57/0.77 # SZS status Theorem
% 0.57/0.77 # SZS output start CNFRefutation
% See solution above
% 0.57/0.77 # Parsed axioms : 1161
% 0.57/0.77 # Removed by relevancy pruning/SinE : 951
% 0.57/0.77 # Initial clauses : 304
% 0.57/0.77 # Removed in clause preprocessing : 15
% 0.57/0.77 # Initial clauses in saturation : 289
% 0.57/0.77 # Processed clauses : 343
% 0.57/0.77 # ...of these trivial : 5
% 0.57/0.77 # ...subsumed : 74
% 0.57/0.77 # ...remaining for further processing : 264
% 0.57/0.77 # Other redundant clauses eliminated : 42
% 0.57/0.77 # Clauses deleted for lack of memory : 0
% 0.57/0.77 # Backward-subsumed : 0
% 0.57/0.77 # Backward-rewritten : 5
% 0.57/0.77 # Generated clauses : 52
% 0.57/0.77 # ...of the previous two non-redundant : 25
% 0.57/0.77 # ...aggressively subsumed : 0
% 0.57/0.77 # Contextual simplify-reflections : 1
% 0.57/0.77 # Paramodulations : 15
% 0.57/0.77 # Factorizations : 0
% 0.57/0.77 # NegExts : 0
% 0.57/0.77 # Equation resolutions : 43
% 0.57/0.77 # Total rewrite steps : 51
% 0.57/0.77 # Propositional unsat checks : 0
% 0.57/0.77 # Propositional check models : 0
% 0.57/0.77 # Propositional check unsatisfiable : 0
% 0.57/0.77 # Propositional clauses : 0
% 0.57/0.77 # Propositional clauses after purity: 0
% 0.57/0.77 # Propositional unsat core size : 0
% 0.57/0.77 # Propositional preprocessing time : 0.000
% 0.57/0.77 # Propositional encoding time : 0.000
% 0.57/0.77 # Propositional solver time : 0.000
% 0.57/0.77 # Success case prop preproc time : 0.000
% 0.57/0.77 # Success case prop encoding time : 0.000
% 0.57/0.77 # Success case prop solver time : 0.000
% 0.57/0.77 # Current number of processed clauses : 32
% 0.57/0.77 # Positive orientable unit clauses : 12
% 0.57/0.77 # Positive unorientable unit clauses: 0
% 0.57/0.77 # Negative unit clauses : 10
% 0.57/0.77 # Non-unit-clauses : 10
% 0.57/0.77 # Current number of unprocessed clauses: 161
% 0.57/0.77 # ...number of literals in the above : 350
% 0.57/0.77 # Current number of archived formulas : 0
% 0.57/0.77 # Current number of archived clauses : 196
% 0.57/0.77 # Clause-clause subsumption calls (NU) : 3273
% 0.57/0.77 # Rec. Clause-clause subsumption calls : 2697
% 0.57/0.77 # Non-unit clause-clause subsumptions : 51
% 0.57/0.77 # Unit Clause-clause subsumption calls : 9
% 0.57/0.77 # Rewrite failures with RHS unbound : 0
% 0.57/0.77 # BW rewrite match attempts : 252
% 0.57/0.77 # BW rewrite match successes : 52
% 0.57/0.77 # Condensation attempts : 0
% 0.57/0.77 # Condensation successes : 0
% 0.57/0.77 # Termbank termtop insertions : 39038
% 0.57/0.77
% 0.57/0.77 # -------------------------------------------------
% 0.57/0.77 # User time : 0.041 s
% 0.57/0.77 # System time : 0.004 s
% 0.57/0.77 # Total time : 0.045 s
% 0.57/0.77 # Maximum resident set size: 3652 pages
% 0.57/0.77
% 0.57/0.77 # -------------------------------------------------
% 0.57/0.77 # User time : 0.064 s
% 0.57/0.77 # System time : 0.006 s
% 0.57/0.77 # Total time : 0.070 s
% 0.57/0.77 # Maximum resident set size: 3076 pages
% 0.57/0.77 % E---3.1 exiting
% 0.57/0.78 % E---3.1 exiting
%------------------------------------------------------------------------------