TSTP Solution File: SWW390+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW390+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n018.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 : 300s
% DateTime : Mon Jun 24 18:14:25 EDT 2024
% Result : Theorem 23.09s 4.92s
% Output : CNFRefutation 23.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 18 unt; 0 def)
% Number of atoms : 24 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 48 ( 11 sgn 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
( ? [X28,X145] : v_P(X28,X145)
=> ? [X308,X309] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X308),v_c),X309)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/tmp/tmp.AMosFQBftC/E---3.1_16950.p',conj_0) ).
fof(fact_singleton__conv2,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
file('/export/starexec/sandbox2/tmp/tmp.AMosFQBftC/E---3.1_16950.p',fact_singleton__conv2) ).
fof(fact_Collect__def,axiom,
! [X23,X5] : hAPP(c_Set_OCollect(X5),X23) = X23,
file('/export/starexec/sandbox2/tmp/tmp.AMosFQBftC/E---3.1_16950.p',fact_Collect__def) ).
fof(fact_empty__def,axiom,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fFalse)),
file('/export/starexec/sandbox2/tmp/tmp.AMosFQBftC/E---3.1_16950.p',fact_empty__def) ).
fof(fact_falseE,axiom,
! [X26,X20,X4,X5] : c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X5),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X20),X26)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.AMosFQBftC/E---3.1_16950.p',fact_falseE) ).
fof(c_0_5,negated_conjecture,
~ ( ? [X28,X145] : v_P(X28,X145)
=> ? [X308,X309] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X308),v_c),X309)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_6,plain,
! [X1298,X1299] : hAPP(c_Set_OCollect(X1299),hAPP(c_fequal,X1298)) = hAPP(hAPP(c_Set_Oinsert(X1299),X1298),c_Orderings_Obot__class_Obot(tc_fun(X1299,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).
fof(c_0_7,plain,
! [X5443,X5444] : hAPP(c_Set_OCollect(X5444),X5443) = X5443,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_8,plain,
! [X1838] : c_Orderings_Obot__class_Obot(tc_fun(X1838,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1838),hAPP(c_COMBK(tc_HOL_Obool,X1838),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_9,negated_conjecture,
! [X312,X313] :
( v_P(esk1_0,esk2_0)
& ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X312),v_c),X313)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_10,plain,
hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X381,X382,X383,X384] : c_Hoare__Mirabelle_Ohoare__derivs(X384,X383,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X384)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X384),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X384),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X382),X381)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X384),tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_falseE]) ).
cnf(c_0_13,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2))),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),X3),X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_18,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWW390+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.12 % Command : run_E %s %d SAT
% 0.12/0.35 % Computer : n018.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Jun 19 06:24:39 EDT 2024
% 0.12/0.35 % CPUTime :
% 1.08/1.25 Running first-order model finding
% 1.08/1.25 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.AMosFQBftC/E---3.1_16950.p
% 23.09/4.92 # Version: 3.2.0
% 23.09/4.92 # Preprocessing class: FMLMSMSMSSSNFFN.
% 23.09/4.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.09/4.92 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.09/4.92 # Starting new_bool_3 with 300s (1) cores
% 23.09/4.92 # Starting new_bool_1 with 300s (1) cores
% 23.09/4.92 # Starting sh5l with 300s (1) cores
% 23.09/4.92 # sh5l with pid 17030 completed with status 0
% 23.09/4.92 # Result found by sh5l
% 23.09/4.92 # Preprocessing class: FMLMSMSMSSSNFFN.
% 23.09/4.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.09/4.92 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.09/4.92 # Starting new_bool_3 with 300s (1) cores
% 23.09/4.92 # Starting new_bool_1 with 300s (1) cores
% 23.09/4.92 # Starting sh5l with 300s (1) cores
% 23.09/4.92 # SinE strategy is gf500_gu_R04_F100_L20000
% 23.09/4.92 # Search class: FGHSM-SMLM33-DFFFFFNN
% 23.09/4.92 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 23.09/4.92 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 23.09/4.92 # SAT001_MinMin_p005000_rr with pid 17033 completed with status 0
% 23.09/4.92 # Result found by SAT001_MinMin_p005000_rr
% 23.09/4.92 # Preprocessing class: FMLMSMSMSSSNFFN.
% 23.09/4.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 23.09/4.92 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 23.09/4.92 # Starting new_bool_3 with 300s (1) cores
% 23.09/4.92 # Starting new_bool_1 with 300s (1) cores
% 23.09/4.92 # Starting sh5l with 300s (1) cores
% 23.09/4.92 # SinE strategy is gf500_gu_R04_F100_L20000
% 23.09/4.92 # Search class: FGHSM-SMLM33-DFFFFFNN
% 23.09/4.92 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 23.09/4.92 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 23.09/4.92 # Preprocessing time : 0.114 s
% 23.09/4.92 # Presaturation interreduction done
% 23.09/4.92
% 23.09/4.92 # Proof found!
% 23.09/4.92 # SZS status Theorem
% 23.09/4.92 # SZS output start CNFRefutation
% See solution above
% 23.09/4.92 # Parsed axioms : 5228
% 23.09/4.92 # Removed by relevancy pruning/SinE : 734
% 23.09/4.92 # Initial clauses : 6567
% 23.09/4.92 # Removed in clause preprocessing : 166
% 23.09/4.92 # Initial clauses in saturation : 6401
% 23.09/4.92 # Processed clauses : 12601
% 23.09/4.92 # ...of these trivial : 231
% 23.09/4.92 # ...subsumed : 3059
% 23.09/4.92 # ...remaining for further processing : 9311
% 23.09/4.92 # Other redundant clauses eliminated : 516
% 23.09/4.92 # Clauses deleted for lack of memory : 0
% 23.09/4.92 # Backward-subsumed : 78
% 23.09/4.92 # Backward-rewritten : 289
% 23.09/4.92 # Generated clauses : 30646
% 23.09/4.92 # ...of the previous two non-redundant : 28255
% 23.09/4.92 # ...aggressively subsumed : 0
% 23.09/4.92 # Contextual simplify-reflections : 24
% 23.09/4.92 # Paramodulations : 30150
% 23.09/4.92 # Factorizations : 2
% 23.09/4.92 # NegExts : 0
% 23.09/4.92 # Equation resolutions : 551
% 23.09/4.92 # Disequality decompositions : 0
% 23.09/4.92 # Total rewrite steps : 11749
% 23.09/4.92 # ...of those cached : 8312
% 23.09/4.92 # Propositional unsat checks : 2
% 23.09/4.92 # Propositional check models : 2
% 23.09/4.92 # Propositional check unsatisfiable : 0
% 23.09/4.92 # Propositional clauses : 0
% 23.09/4.92 # Propositional clauses after purity: 0
% 23.09/4.92 # Propositional unsat core size : 0
% 23.09/4.92 # Propositional preprocessing time : 0.000
% 23.09/4.92 # Propositional encoding time : 0.056
% 23.09/4.92 # Propositional solver time : 0.018
% 23.09/4.92 # Success case prop preproc time : 0.000
% 23.09/4.92 # Success case prop encoding time : 0.000
% 23.09/4.92 # Success case prop solver time : 0.000
% 23.09/4.92 # Current number of processed clauses : 3366
% 23.09/4.92 # Positive orientable unit clauses : 959
% 23.09/4.92 # Positive unorientable unit clauses: 6
% 23.09/4.92 # Negative unit clauses : 363
% 23.09/4.92 # Non-unit-clauses : 2038
% 23.09/4.92 # Current number of unprocessed clauses: 24874
% 23.09/4.92 # ...number of literals in the above : 58753
% 23.09/4.92 # Current number of archived formulas : 0
% 23.09/4.92 # Current number of archived clauses : 5527
% 23.09/4.92 # Clause-clause subsumption calls (NU) : 2599866
% 23.09/4.92 # Rec. Clause-clause subsumption calls : 1277888
% 23.09/4.92 # Non-unit clause-clause subsumptions : 1974
% 23.09/4.92 # Unit Clause-clause subsumption calls : 58055
% 23.09/4.92 # Rewrite failures with RHS unbound : 323
% 23.09/4.92 # BW rewrite match attempts : 26388
% 23.09/4.92 # BW rewrite match successes : 586
% 23.09/4.92 # Condensation attempts : 0
% 23.09/4.92 # Condensation successes : 0
% 23.09/4.92 # Termbank termtop insertions : 1617778
% 23.09/4.92 # Search garbage collected termcells : 96075
% 23.09/4.92
% 23.09/4.92 # -------------------------------------------------
% 23.09/4.92 # User time : 3.221 s
% 23.09/4.92 # System time : 0.096 s
% 23.09/4.92 # Total time : 3.317 s
% 23.09/4.92 # Maximum resident set size: 37168 pages
% 23.09/4.92
% 23.09/4.92 # -------------------------------------------------
% 23.09/4.92 # User time : 3.360 s
% 23.09/4.92 # System time : 0.103 s
% 23.09/4.92 # Total time : 3.463 s
% 23.09/4.92 # Maximum resident set size: 9500 pages
% 23.09/4.92 % E---3.1 exiting
% 23.09/4.92 % E exiting
%------------------------------------------------------------------------------