TSTP Solution File: SWW391+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWW391+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 : Sat May 4 10:03:25 EDT 2024
% Result : Theorem 3.35s 2.04s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 45 ( 18 ~; 16 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_2,conjecture,
! [X28,X29] :
( ( hBOOL(hAPP(hAPP(v_P,X28),X29))
| hBOOL(hAPP(hAPP(v_P_H,X28),X29)) )
=> ? [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))))
& ! [X39] :
( ! [X40] :
( hBOOL(hAPP(hAPP(X308,X40),X29))
=> hBOOL(hAPP(hAPP(X309,X40),X39)) )
=> ( hBOOL(hAPP(hAPP(v_Q,X28),X39))
| hBOOL(hAPP(hAPP(v_Q_H,X28),X39)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nKVT2kYWZk/E---3.1_28628.p',conj_2) ).
fof(conj_0,hypothesis,
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),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.nKVT2kYWZk/E---3.1_28628.p',conj_0) ).
fof(conj_1,hypothesis,
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),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.nKVT2kYWZk/E---3.1_28628.p',conj_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X28,X29] :
( ( hBOOL(hAPP(hAPP(v_P,X28),X29))
| hBOOL(hAPP(hAPP(v_P_H,X28),X29)) )
=> ? [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))))
& ! [X39] :
( ! [X40] :
( hBOOL(hAPP(hAPP(X308,X40),X29))
=> hBOOL(hAPP(hAPP(X309,X40),X39)) )
=> ( hBOOL(hAPP(hAPP(v_Q,X28),X39))
| hBOOL(hAPP(hAPP(v_Q_H,X28),X39)) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_2]) ).
fof(c_0_4,negated_conjecture,
! [X312,X313,X315] :
( ( hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0))
| hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0)) )
& ( ~ hBOOL(hAPP(hAPP(X312,X315),esk2_0))
| hBOOL(hAPP(hAPP(X313,X315),esk3_2(X312,X313)))
| ~ 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)))) )
& ( ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X312,X313)))
| ~ 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)))) )
& ( ~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(X312,X313)))
| ~ 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(distribute,[status(thm)],[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_3])])])])])]) ).
cnf(c_0_5,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X1,X2)))
| ~ 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_4]) ).
cnf(c_0_6,hypothesis,
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),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_7,negated_conjecture,
( hBOOL(hAPP(hAPP(X3,X2),esk3_2(X1,X3)))
| ~ hBOOL(hAPP(hAPP(X1,X2),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),X1),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(v_P,v_Q))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,hypothesis,
( hBOOL(hAPP(hAPP(v_Q,X1),esk3_2(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X1),esk2_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(X1,X2)))
| ~ 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_4]) ).
cnf(c_0_11,hypothesis,
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),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_12,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0))
| hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,hypothesis,
~ hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,hypothesis,
~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(v_P_H,v_Q_H))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
( hBOOL(hAPP(hAPP(v_Q_H,X1),esk3_2(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X1),esk2_0)) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0)),
inference(sr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW391+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 13:27:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.07/1.29 Running first-order model finding
% 1.07/1.29 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.nKVT2kYWZk/E---3.1_28628.p
% 3.35/2.04 # Version: 3.1.0
% 3.35/2.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.35/2.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.35/2.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.35/2.04 # Starting new_bool_3 with 300s (1) cores
% 3.35/2.04 # Starting new_bool_1 with 300s (1) cores
% 3.35/2.04 # Starting sh5l with 300s (1) cores
% 3.35/2.04 # new_bool_3 with pid 28707 completed with status 0
% 3.35/2.04 # Result found by new_bool_3
% 3.35/2.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.35/2.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.35/2.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.35/2.04 # Starting new_bool_3 with 300s (1) cores
% 3.35/2.04 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.35/2.04 # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.35/2.04 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.35/2.04 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.35/2.04 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 28710 completed with status 0
% 3.35/2.04 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 3.35/2.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.35/2.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.35/2.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.35/2.04 # Starting new_bool_3 with 300s (1) cores
% 3.35/2.04 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.35/2.04 # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.35/2.04 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.35/2.04 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.35/2.04 # Preprocessing time : 0.069 s
% 3.35/2.04
% 3.35/2.04 # Proof found!
% 3.35/2.04 # SZS status Theorem
% 3.35/2.04 # SZS output start CNFRefutation
% See solution above
% 3.35/2.04 # Parsed axioms : 5230
% 3.35/2.04 # Removed by relevancy pruning/SinE : 4650
% 3.35/2.04 # Initial clauses : 865
% 3.35/2.04 # Removed in clause preprocessing : 38
% 3.35/2.04 # Initial clauses in saturation : 827
% 3.35/2.04 # Processed clauses : 866
% 3.35/2.04 # ...of these trivial : 18
% 3.35/2.04 # ...subsumed : 189
% 3.35/2.04 # ...remaining for further processing : 659
% 3.35/2.04 # Other redundant clauses eliminated : 130
% 3.35/2.04 # Clauses deleted for lack of memory : 0
% 3.35/2.04 # Backward-subsumed : 6
% 3.35/2.04 # Backward-rewritten : 13
% 3.35/2.04 # Generated clauses : 14502
% 3.35/2.04 # ...of the previous two non-redundant : 12781
% 3.35/2.04 # ...aggressively subsumed : 0
% 3.35/2.04 # Contextual simplify-reflections : 4
% 3.35/2.04 # Paramodulations : 14331
% 3.35/2.04 # Factorizations : 8
% 3.35/2.04 # NegExts : 0
% 3.35/2.04 # Equation resolutions : 163
% 3.35/2.04 # Disequality decompositions : 0
% 3.35/2.04 # Total rewrite steps : 5018
% 3.35/2.04 # ...of those cached : 3605
% 3.35/2.04 # Propositional unsat checks : 0
% 3.35/2.04 # Propositional check models : 0
% 3.35/2.04 # Propositional check unsatisfiable : 0
% 3.35/2.04 # Propositional clauses : 0
% 3.35/2.04 # Propositional clauses after purity: 0
% 3.35/2.04 # Propositional unsat core size : 0
% 3.35/2.04 # Propositional preprocessing time : 0.000
% 3.35/2.04 # Propositional encoding time : 0.000
% 3.35/2.04 # Propositional solver time : 0.000
% 3.35/2.04 # Success case prop preproc time : 0.000
% 3.35/2.04 # Success case prop encoding time : 0.000
% 3.35/2.04 # Success case prop solver time : 0.000
% 3.35/2.04 # Current number of processed clauses : 612
% 3.35/2.04 # Positive orientable unit clauses : 137
% 3.35/2.04 # Positive unorientable unit clauses: 17
% 3.35/2.04 # Negative unit clauses : 22
% 3.35/2.04 # Non-unit-clauses : 436
% 3.35/2.04 # Current number of unprocessed clauses: 12733
% 3.35/2.04 # ...number of literals in the above : 35603
% 3.35/2.04 # Current number of archived formulas : 0
% 3.35/2.04 # Current number of archived clauses : 20
% 3.35/2.04 # Clause-clause subsumption calls (NU) : 39483
% 3.35/2.04 # Rec. Clause-clause subsumption calls : 24757
% 3.35/2.04 # Non-unit clause-clause subsumptions : 164
% 3.35/2.04 # Unit Clause-clause subsumption calls : 1255
% 3.35/2.04 # Rewrite failures with RHS unbound : 26
% 3.35/2.04 # BW rewrite match attempts : 2546
% 3.35/2.04 # BW rewrite match successes : 90
% 3.35/2.04 # Condensation attempts : 0
% 3.35/2.04 # Condensation successes : 0
% 3.35/2.04 # Termbank termtop insertions : 655442
% 3.35/2.04 # Search garbage collected termcells : 55303
% 3.35/2.04
% 3.35/2.04 # -------------------------------------------------
% 3.35/2.04 # User time : 0.544 s
% 3.35/2.04 # System time : 0.035 s
% 3.35/2.04 # Total time : 0.579 s
% 3.35/2.04 # Maximum resident set size: 11448 pages
% 3.35/2.04
% 3.35/2.04 # -------------------------------------------------
% 3.35/2.04 # User time : 0.687 s
% 3.35/2.04 # System time : 0.043 s
% 3.35/2.04 # Total time : 0.730 s
% 3.35/2.04 # Maximum resident set size: 9520 pages
% 3.35/2.04 % E---3.1 exiting
%------------------------------------------------------------------------------