TSTP Solution File: SWW390+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW390+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 20:09:18 EDT 2023
% Result : Theorem 30.41s 7.14s
% Output : CNFRefutation 30.41s
% 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/sandbox/tmp/tmp.RgVRKrJuk2/E---3.1_5511.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/sandbox/tmp/tmp.RgVRKrJuk2/E---3.1_5511.p',fact_singleton__conv2) ).
fof(fact_Collect__def,axiom,
! [X23,X5] : hAPP(c_Set_OCollect(X5),X23) = X23,
file('/export/starexec/sandbox/tmp/tmp.RgVRKrJuk2/E---3.1_5511.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/sandbox/tmp/tmp.RgVRKrJuk2/E---3.1_5511.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/sandbox/tmp/tmp.RgVRKrJuk2/E---3.1_5511.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(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
% 1.19/1.21 % Problem : SWW390+1 : TPTP v8.1.2. Released v5.2.0.
% 1.19/1.22 % Command : run_E %s %d THM
% 1.21/1.42 % Computer : n014.cluster.edu
% 1.21/1.42 % Model : x86_64 x86_64
% 1.21/1.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.21/1.42 % Memory : 8042.1875MB
% 1.21/1.42 % OS : Linux 3.10.0-693.el7.x86_64
% 1.21/1.42 % CPULimit : 2400
% 1.21/1.42 % WCLimit : 300
% 1.21/1.42 % DateTime : Mon Oct 2 22:22:05 EDT 2023
% 1.21/1.42 % CPUTime :
% 2.42/2.63 Running first-order theorem proving
% 2.42/2.63 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.RgVRKrJuk2/E---3.1_5511.p
% 30.41/7.14 # Version: 3.1pre001
% 30.41/7.14 # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.41/7.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.41/7.14 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.41/7.14 # Starting new_bool_3 with 300s (1) cores
% 30.41/7.14 # Starting new_bool_1 with 300s (1) cores
% 30.41/7.14 # Starting sh5l with 300s (1) cores
% 30.41/7.14 # sh5l with pid 5608 completed with status 0
% 30.41/7.14 # Result found by sh5l
% 30.41/7.14 # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.41/7.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.41/7.14 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.41/7.14 # Starting new_bool_3 with 300s (1) cores
% 30.41/7.14 # Starting new_bool_1 with 300s (1) cores
% 30.41/7.14 # Starting sh5l with 300s (1) cores
% 30.41/7.14 # SinE strategy is gf500_gu_R04_F100_L20000
% 30.41/7.14 # Search class: FGHSM-SMLM33-DFFFFFNN
% 30.41/7.14 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 30.41/7.14 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 30.41/7.14 # SAT001_MinMin_p005000_rr with pid 5611 completed with status 0
% 30.41/7.14 # Result found by SAT001_MinMin_p005000_rr
% 30.41/7.14 # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.41/7.14 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.41/7.14 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.41/7.14 # Starting new_bool_3 with 300s (1) cores
% 30.41/7.14 # Starting new_bool_1 with 300s (1) cores
% 30.41/7.14 # Starting sh5l with 300s (1) cores
% 30.41/7.14 # SinE strategy is gf500_gu_R04_F100_L20000
% 30.41/7.14 # Search class: FGHSM-SMLM33-DFFFFFNN
% 30.41/7.14 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 30.41/7.14 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 30.41/7.14 # Preprocessing time : 0.147 s
% 30.41/7.14 # Presaturation interreduction done
% 30.41/7.14
% 30.41/7.14 # Proof found!
% 30.41/7.14 # SZS status Theorem
% 30.41/7.14 # SZS output start CNFRefutation
% See solution above
% 30.41/7.14 # Parsed axioms : 5228
% 30.41/7.14 # Removed by relevancy pruning/SinE : 734
% 30.41/7.14 # Initial clauses : 6567
% 30.41/7.14 # Removed in clause preprocessing : 166
% 30.41/7.14 # Initial clauses in saturation : 6401
% 30.41/7.14 # Processed clauses : 12601
% 30.41/7.14 # ...of these trivial : 224
% 30.41/7.14 # ...subsumed : 3331
% 30.41/7.14 # ...remaining for further processing : 9046
% 30.41/7.14 # Other redundant clauses eliminated : 516
% 30.41/7.14 # Clauses deleted for lack of memory : 0
% 30.41/7.14 # Backward-subsumed : 83
% 30.41/7.14 # Backward-rewritten : 287
% 30.41/7.14 # Generated clauses : 32087
% 30.41/7.14 # ...of the previous two non-redundant : 29674
% 30.41/7.14 # ...aggressively subsumed : 0
% 30.41/7.14 # Contextual simplify-reflections : 25
% 30.41/7.14 # Paramodulations : 31591
% 30.41/7.14 # Factorizations : 2
% 30.41/7.14 # NegExts : 0
% 30.41/7.14 # Equation resolutions : 551
% 30.41/7.14 # Total rewrite steps : 12380
% 30.41/7.14 # Propositional unsat checks : 2
% 30.41/7.14 # Propositional check models : 2
% 30.41/7.14 # Propositional check unsatisfiable : 0
% 30.41/7.14 # Propositional clauses : 0
% 30.41/7.14 # Propositional clauses after purity: 0
% 30.41/7.14 # Propositional unsat core size : 0
% 30.41/7.14 # Propositional preprocessing time : 0.000
% 30.41/7.14 # Propositional encoding time : 0.069
% 30.41/7.14 # Propositional solver time : 0.022
% 30.41/7.14 # Success case prop preproc time : 0.000
% 30.41/7.14 # Success case prop encoding time : 0.000
% 30.41/7.14 # Success case prop solver time : 0.000
% 30.41/7.14 # Current number of processed clauses : 3098
% 30.41/7.14 # Positive orientable unit clauses : 946
% 30.41/7.14 # Positive unorientable unit clauses: 8
% 30.41/7.14 # Negative unit clauses : 439
% 30.41/7.14 # Non-unit-clauses : 1705
% 30.41/7.14 # Current number of unprocessed clauses: 26321
% 30.41/7.14 # ...number of literals in the above : 60462
% 30.41/7.14 # Current number of archived formulas : 0
% 30.41/7.14 # Current number of archived clauses : 5530
% 30.41/7.14 # Clause-clause subsumption calls (NU) : 2528915
% 30.41/7.14 # Rec. Clause-clause subsumption calls : 1227500
% 30.41/7.14 # Non-unit clause-clause subsumptions : 1855
% 30.41/7.14 # Unit Clause-clause subsumption calls : 60246
% 30.41/7.14 # Rewrite failures with RHS unbound : 323
% 30.41/7.14 # BW rewrite match attempts : 26601
% 30.41/7.14 # BW rewrite match successes : 641
% 30.41/7.14 # Condensation attempts : 0
% 30.41/7.14 # Condensation successes : 0
% 30.41/7.14 # Termbank termtop insertions : 1567988
% 30.41/7.14
% 30.41/7.14 # -------------------------------------------------
% 30.41/7.14 # User time : 4.000 s
% 30.41/7.14 # System time : 0.129 s
% 30.41/7.14 # Total time : 4.129 s
% 30.41/7.14 # Maximum resident set size: 37236 pages
% 30.41/7.14
% 30.41/7.14 # -------------------------------------------------
% 30.41/7.14 # User time : 4.252 s
% 30.41/7.14 # System time : 0.142 s
% 30.41/7.14 # Total time : 4.393 s
% 30.41/7.14 # Maximum resident set size: 9492 pages
% 30.41/7.14 % E---3.1 exiting
% 30.41/7.15 % E---3.1 exiting
%------------------------------------------------------------------------------