TSTP Solution File: SWW474+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 20:09:35 EDT 2023
% Result : Theorem 2.18s 1.09s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 54 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 28 ( 5 sgn; 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_297_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = hAPP_com_option_com(some_com,X30)
=> hBOOL(hAPP_com_bool(wt,X30)) ) ),
file('/export/starexec/sandbox/tmp/tmp.1XtuSqcEd4/E---3.1_1674.p',fact_297_WT__bodiesD) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/tmp/tmp.1XtuSqcEd4/E---3.1_1674.p',conj_1) ).
fof(fact_66_MGF,axiom,
! [X15] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X15)),bot_bo784226126e_bool))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1XtuSqcEd4/E---3.1_1674.p',fact_66_MGF) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
file('/export/starexec/sandbox/tmp/tmp.1XtuSqcEd4/E---3.1_1674.p',conj_5) ).
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X6),X4))
=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X6))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X4)) ) ),
file('/export/starexec/sandbox/tmp/tmp.1XtuSqcEd4/E---3.1_1674.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),bot_bo784226126e_bool)),
file('/export/starexec/sandbox/tmp/tmp.1XtuSqcEd4/E---3.1_1674.p',fact_0_empty) ).
fof(conj_0,hypothesis,
hBOOL(hoare_1795711768gleton),
file('/export/starexec/sandbox/tmp/tmp.1XtuSqcEd4/E---3.1_1674.p',conj_0) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
file('/export/starexec/sandbox/tmp/tmp.1XtuSqcEd4/E---3.1_1674.p',conj_7) ).
fof(c_0_8,plain,
! [X139,X140] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X139) != hAPP_com_option_com(some_com,X140)
| hBOOL(hAPP_com_bool(wt,X140)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_WT__bodiesD])]) ).
cnf(c_0_9,plain,
( hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X1) != hAPP_com_option_com(some_com,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_10,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_11,plain,
! [X138] :
( ~ hBOOL(hoare_1795711768gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X138))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X138)),bot_bo784226126e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_MGF])]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_com_option_com(some_com,X1) != hAPP_p799580910on_com(body,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_13,hypothesis,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
fof(c_0_14,plain,
! [X624,X625,X626] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X625),X626))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X624),X625))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X624),X626)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
fof(c_0_15,plain,
! [X615] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X615),bot_bo784226126e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
cnf(c_0_16,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
| ~ hBOOL(hoare_1795711768gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,hypothesis,
hBOOL(hoare_1795711768gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_18,hypothesis,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_com_option_com(some_com,X1) != hAPP_com_option_com(some_com,y) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),bot_bo784226126e_bool)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_10]),c_0_17])]) ).
cnf(c_0_22,hypothesis,
hBOOL(hAPP_com_bool(wt,y)),
inference(er,[status(thm)],[c_0_18]) ).
fof(c_0_23,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
cnf(c_0_24,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,hypothesis,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,hypothesis,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.28 % Problem : SWW474+3 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.29 % Command : run_E %s %d THM
% 0.29/0.50 % Computer : n023.cluster.edu
% 0.29/0.50 % Model : x86_64 x86_64
% 0.29/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.29/0.50 % Memory : 8042.1875MB
% 0.29/0.50 % OS : Linux 3.10.0-693.el7.x86_64
% 0.29/0.50 % CPULimit : 2400
% 0.29/0.50 % WCLimit : 300
% 0.29/0.50 % DateTime : Mon Oct 2 22:28:07 EDT 2023
% 0.29/0.50 % CPUTime :
% 0.35/0.80 Running first-order theorem proving
% 0.35/0.80 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.1XtuSqcEd4/E---3.1_1674.p
% 2.18/1.09 # Version: 3.1pre001
% 2.18/1.09 # Preprocessing class: FMLMSMMLSSSNFFN.
% 2.18/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/1.09 # Starting new_bool_3 with 900s (3) cores
% 2.18/1.09 # Starting new_bool_1 with 900s (3) cores
% 2.18/1.09 # Starting sh5l with 300s (1) cores
% 2.18/1.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 300s (1) cores
% 2.18/1.09 # new_bool_3 with pid 1758 completed with status 0
% 2.18/1.09 # Result found by new_bool_3
% 2.18/1.09 # Preprocessing class: FMLMSMMLSSSNFFN.
% 2.18/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/1.09 # Starting new_bool_3 with 900s (3) cores
% 2.18/1.09 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.18/1.09 # Search class: FGHSM-SSLM32-DFFFFFNN
% 2.18/1.09 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 2.18/1.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 68s (1) cores
% 2.18/1.09 # Starting new_bool_3 with 91s (1) cores
% 2.18/1.09 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 68s (1) cores
% 2.18/1.09 # G-E--_208_B07_F1_SE_CS_SP_PS_S4d with pid 1765 completed with status 0
% 2.18/1.09 # Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S4d
% 2.18/1.09 # Preprocessing class: FMLMSMMLSSSNFFN.
% 2.18/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.18/1.09 # Starting new_bool_3 with 900s (3) cores
% 2.18/1.09 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.18/1.09 # Search class: FGHSM-SSLM32-DFFFFFNN
% 2.18/1.09 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 2.18/1.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 68s (1) cores
% 2.18/1.09 # Starting new_bool_3 with 91s (1) cores
% 2.18/1.09 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 68s (1) cores
% 2.18/1.09 # Preprocessing time : 0.014 s
% 2.18/1.09 # Presaturation interreduction done
% 2.18/1.09
% 2.18/1.09 # Proof found!
% 2.18/1.09 # SZS status Theorem
% 2.18/1.09 # SZS output start CNFRefutation
% See solution above
% 2.18/1.09 # Parsed axioms : 1441
% 2.18/1.09 # Removed by relevancy pruning/SinE : 788
% 2.18/1.09 # Initial clauses : 1051
% 2.18/1.09 # Removed in clause preprocessing : 24
% 2.18/1.09 # Initial clauses in saturation : 1027
% 2.18/1.09 # Processed clauses : 2037
% 2.18/1.09 # ...of these trivial : 100
% 2.18/1.09 # ...subsumed : 652
% 2.18/1.09 # ...remaining for further processing : 1285
% 2.18/1.09 # Other redundant clauses eliminated : 127
% 2.18/1.09 # Clauses deleted for lack of memory : 0
% 2.18/1.09 # Backward-subsumed : 0
% 2.18/1.09 # Backward-rewritten : 12
% 2.18/1.09 # Generated clauses : 4200
% 2.18/1.09 # ...of the previous two non-redundant : 3111
% 2.18/1.09 # ...aggressively subsumed : 0
% 2.18/1.09 # Contextual simplify-reflections : 2
% 2.18/1.09 # Paramodulations : 4066
% 2.18/1.09 # Factorizations : 1
% 2.18/1.09 # NegExts : 0
% 2.18/1.09 # Equation resolutions : 140
% 2.18/1.09 # Total rewrite steps : 2087
% 2.18/1.09 # Propositional unsat checks : 0
% 2.18/1.09 # Propositional check models : 0
% 2.18/1.09 # Propositional check unsatisfiable : 0
% 2.18/1.09 # Propositional clauses : 0
% 2.18/1.09 # Propositional clauses after purity: 0
% 2.18/1.09 # Propositional unsat core size : 0
% 2.18/1.09 # Propositional preprocessing time : 0.000
% 2.18/1.09 # Propositional encoding time : 0.000
% 2.18/1.09 # Propositional solver time : 0.000
% 2.18/1.09 # Success case prop preproc time : 0.000
% 2.18/1.09 # Success case prop encoding time : 0.000
% 2.18/1.09 # Success case prop solver time : 0.000
% 2.18/1.09 # Current number of processed clauses : 536
% 2.18/1.09 # Positive orientable unit clauses : 195
% 2.18/1.09 # Positive unorientable unit clauses: 22
% 2.18/1.09 # Negative unit clauses : 47
% 2.18/1.09 # Non-unit-clauses : 272
% 2.18/1.09 # Current number of unprocessed clauses: 2743
% 2.18/1.09 # ...number of literals in the above : 4805
% 2.18/1.09 # Current number of archived formulas : 0
% 2.18/1.09 # Current number of archived clauses : 667
% 2.18/1.09 # Clause-clause subsumption calls (NU) : 54740
% 2.18/1.09 # Rec. Clause-clause subsumption calls : 29330
% 2.18/1.09 # Non-unit clause-clause subsumptions : 431
% 2.18/1.09 # Unit Clause-clause subsumption calls : 1603
% 2.18/1.09 # Rewrite failures with RHS unbound : 0
% 2.18/1.09 # BW rewrite match attempts : 1539
% 2.18/1.09 # BW rewrite match successes : 200
% 2.18/1.09 # Condensation attempts : 0
% 2.18/1.09 # Condensation successes : 0
% 2.18/1.09 # Termbank termtop insertions : 188249
% 2.18/1.09
% 2.18/1.09 # -------------------------------------------------
% 2.18/1.09 # User time : 0.219 s
% 2.18/1.09 # System time : 0.018 s
% 2.18/1.09 # Total time : 0.237 s
% 2.18/1.09 # Maximum resident set size: 7096 pages
% 2.18/1.09
% 2.18/1.09 # -------------------------------------------------
% 2.18/1.09 # User time : 0.603 s
% 2.18/1.09 # System time : 0.033 s
% 2.18/1.09 # Total time : 0.635 s
% 2.18/1.09 # Maximum resident set size: 3736 pages
% 2.18/1.09 % E---3.1 exiting
% 2.18/1.09 % E---3.1 exiting
%------------------------------------------------------------------------------