TSTP Solution File: SWW318+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW318+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 18:11:36 EDT 2024
% Result : Theorem 6.32s 3.04s
% Output : CNFRefutation 6.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 9 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.lhyUWP1kdy/E---3.1_8265.p',conj_1) ).
fof(fact_thin,axiom,
! [X4,X13,X14,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X14,X13)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X14),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X13) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lhyUWP1kdy/E---3.1_8265.p',fact_thin) ).
fof(fact_subset__insertI,axiom,
! [X6,X113,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X113),hAPP(hAPP(c_Set_Oinsert(X5),X6),X113))),
file('/export/starexec/sandbox2/tmp/tmp.lhyUWP1kdy/E---3.1_8265.p',fact_subset__insertI) ).
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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.lhyUWP1kdy/E---3.1_8265.p',conj_0) ).
fof(c_0_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
fof(c_0_5,plain,
! [X367,X368,X369,X370] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X370,X369,X368)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X370),tc_HOL_Obool)),X369),X367))
| c_Hoare__Mirabelle_Ohoare__derivs(X370,X367,X368) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_thin])])]) ).
fof(c_0_6,plain,
! [X520,X521,X522] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X522,tc_HOL_Obool)),X521),hAPP(hAPP(c_Set_Oinsert(X522),X520),X521))),
inference(variable_rename,[status(thm)],[fact_subset__insertI]) ).
fof(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X2),X3),X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),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_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW318+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n006.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 08:04:09 EDT 2024
% 0.12/0.35 % CPUTime :
% 1.42/1.58 Running first-order theorem proving
% 1.42/1.58 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.lhyUWP1kdy/E---3.1_8265.p
% 6.32/3.04 # Version: 3.2.0
% 6.32/3.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 6.32/3.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.32/3.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.32/3.04 # Starting new_bool_3 with 300s (1) cores
% 6.32/3.04 # Starting new_bool_1 with 300s (1) cores
% 6.32/3.04 # Starting sh5l with 300s (1) cores
% 6.32/3.04 # new_bool_3 with pid 8345 completed with status 0
% 6.32/3.04 # Result found by new_bool_3
% 6.32/3.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 6.32/3.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.32/3.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.32/3.04 # Starting new_bool_3 with 300s (1) cores
% 6.32/3.04 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.32/3.04 # Search class: FGHSM-SSLM32-DFFFFFNN
% 6.32/3.04 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 6.32/3.04 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 6.32/3.04 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 8349 completed with status 0
% 6.32/3.04 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 6.32/3.04 # Preprocessing class: FMLMSMSMSSSNFFN.
% 6.32/3.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.32/3.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.32/3.04 # Starting new_bool_3 with 300s (1) cores
% 6.32/3.04 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.32/3.04 # Search class: FGHSM-SSLM32-DFFFFFNN
% 6.32/3.04 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 6.32/3.04 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 6.32/3.04 # Preprocessing time : 0.019 s
% 6.32/3.04 # Presaturation interreduction done
% 6.32/3.04
% 6.32/3.04 # Proof found!
% 6.32/3.04 # SZS status Theorem
% 6.32/3.04 # SZS output start CNFRefutation
% See solution above
% 6.32/3.04 # Parsed axioms : 5226
% 6.32/3.04 # Removed by relevancy pruning/SinE : 4486
% 6.32/3.04 # Initial clauses : 1109
% 6.32/3.04 # Removed in clause preprocessing : 54
% 6.32/3.04 # Initial clauses in saturation : 1055
% 6.32/3.04 # Processed clauses : 6188
% 6.32/3.04 # ...of these trivial : 155
% 6.32/3.04 # ...subsumed : 3522
% 6.32/3.04 # ...remaining for further processing : 2511
% 6.32/3.04 # Other redundant clauses eliminated : 490
% 6.32/3.04 # Clauses deleted for lack of memory : 0
% 6.32/3.04 # Backward-subsumed : 49
% 6.32/3.04 # Backward-rewritten : 95
% 6.32/3.04 # Generated clauses : 39209
% 6.32/3.04 # ...of the previous two non-redundant : 35299
% 6.32/3.04 # ...aggressively subsumed : 0
% 6.32/3.04 # Contextual simplify-reflections : 6
% 6.32/3.04 # Paramodulations : 38677
% 6.32/3.04 # Factorizations : 8
% 6.32/3.04 # NegExts : 0
% 6.32/3.04 # Equation resolutions : 536
% 6.32/3.04 # Disequality decompositions : 0
% 6.32/3.04 # Total rewrite steps : 12431
% 6.32/3.04 # ...of those cached : 9414
% 6.32/3.04 # Propositional unsat checks : 0
% 6.32/3.04 # Propositional check models : 0
% 6.32/3.04 # Propositional check unsatisfiable : 0
% 6.32/3.04 # Propositional clauses : 0
% 6.32/3.04 # Propositional clauses after purity: 0
% 6.32/3.04 # Propositional unsat core size : 0
% 6.32/3.04 # Propositional preprocessing time : 0.000
% 6.32/3.04 # Propositional encoding time : 0.000
% 6.32/3.04 # Propositional solver time : 0.000
% 6.32/3.04 # Success case prop preproc time : 0.000
% 6.32/3.04 # Success case prop encoding time : 0.000
% 6.32/3.04 # Success case prop solver time : 0.000
% 6.32/3.04 # Current number of processed clauses : 1557
% 6.32/3.04 # Positive orientable unit clauses : 250
% 6.32/3.04 # Positive unorientable unit clauses: 21
% 6.32/3.04 # Negative unit clauses : 160
% 6.32/3.04 # Non-unit-clauses : 1126
% 6.32/3.04 # Current number of unprocessed clauses: 30483
% 6.32/3.04 # ...number of literals in the above : 81891
% 6.32/3.04 # Current number of archived formulas : 0
% 6.32/3.04 # Current number of archived clauses : 873
% 6.32/3.04 # Clause-clause subsumption calls (NU) : 230308
% 6.32/3.04 # Rec. Clause-clause subsumption calls : 158441
% 6.32/3.04 # Non-unit clause-clause subsumptions : 2025
% 6.32/3.04 # Unit Clause-clause subsumption calls : 17081
% 6.32/3.04 # Rewrite failures with RHS unbound : 0
% 6.32/3.04 # BW rewrite match attempts : 6350
% 6.32/3.04 # BW rewrite match successes : 298
% 6.32/3.04 # Condensation attempts : 0
% 6.32/3.04 # Condensation successes : 0
% 6.32/3.04 # Termbank termtop insertions : 1328783
% 6.32/3.04 # Search garbage collected termcells : 56785
% 6.32/3.04
% 6.32/3.04 # -------------------------------------------------
% 6.32/3.04 # User time : 1.122 s
% 6.32/3.04 # System time : 0.053 s
% 6.32/3.04 # Total time : 1.174 s
% 6.32/3.04 # Maximum resident set size: 11820 pages
% 6.32/3.04
% 6.32/3.04 # -------------------------------------------------
% 6.32/3.04 # User time : 1.358 s
% 6.32/3.04 # System time : 0.065 s
% 6.32/3.04 # Total time : 1.422 s
% 6.32/3.04 # Maximum resident set size: 9480 pages
% 6.32/3.04 % E---3.1 exiting
% 6.32/3.04 % E exiting
%------------------------------------------------------------------------------