TSTP Solution File: SWW326+1 by E-SAT---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW326+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n015.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 18:14:12 EDT 2024
% Result : Theorem 3.11s 1.85s
% Output : CNFRefutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 113 ( 48 ~; 39 |; 10 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 41 ( 7 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,hypothesis,
! [X28,X29] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X28,v_n,X29)
=> ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) )
=> ! [X27] :
( v_P(X27,X28)
=> ( v_P(X27,X29)
& ~ hBOOL(hAPP(v_b,X29)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qSn603iTFx/E---3.1_2516.p',conj_1) ).
fof(conj_2,conjecture,
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) )
=> ! [X27,X28] :
( v_P(X27,X28)
=> ! [X29] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X28,v_n,X29)
=> ( v_P(X27,X29)
& ~ hBOOL(hAPP(v_b,X29)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qSn603iTFx/E---3.1_2516.p',conj_2) ).
fof(c_0_2,hypothesis,
! [X28,X29] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X28,v_n,X29)
=> ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) )
=> ! [X27] :
( v_P(X27,X28)
=> ( v_P(X27,X29)
& ~ hBOOL(hAPP(v_b,X29)) ) ) ) ),
inference(fof_simplification,[status(thm)],[conj_1]) ).
fof(c_0_3,negated_conjecture,
~ ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) )
=> ! [X27,X28] :
( v_P(X27,X28)
=> ! [X29] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X28,v_n,X29)
=> ( v_P(X27,X29)
& ~ hBOOL(hAPP(v_b,X29)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])]) ).
fof(c_0_4,hypothesis,
! [X335,X336,X338] :
( ( v_P(X338,X336)
| ~ v_P(X338,X335)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X335,X336)),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X335,v_n,X336) )
& ( ~ hBOOL(hAPP(v_b,X336))
| ~ v_P(X338,X335)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X335,X336)),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X335,v_n,X336) )
& ( v_P(X338,X336)
| ~ v_P(X338,X335)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X335,X336))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X335,v_n,X336) )
& ( ~ hBOOL(hAPP(v_b,X336))
| ~ v_P(X338,X335)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X335,X336))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X335,v_n,X336) ) ),
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_2])])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X339] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X339),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X339) )
& v_P(esk3_0,esk4_0)
& c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,esk5_0)
& ( ~ v_P(esk3_0,esk5_0)
| hBOOL(hAPP(v_b,esk5_0)) ) ),
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_6,hypothesis,
( v_P(X1,X2)
| ~ v_P(X1,X3)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X3,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( v_P(X1,esk5_0)
| ~ v_P(X1,esk4_0)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
( v_P(X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X3,X2)),v_G))
| ~ v_P(X1,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( v_P(X1,esk5_0)
| ~ v_P(X1,esk4_0)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(esk4_0,esk5_0)),v_G)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( v_P(X1,esk5_0)
| ~ v_P(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_7]),c_0_11]) ).
cnf(c_0_13,negated_conjecture,
v_P(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,hypothesis,
( ~ hBOOL(hAPP(v_b,X1))
| ~ v_P(X2,X3)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X3,X1))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( hBOOL(hAPP(v_b,esk5_0))
| ~ v_P(esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
v_P(esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( ~ v_P(X1,esk4_0)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(esk4_0,esk5_0))
| ~ hBOOL(hAPP(v_b,esk5_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(v_b,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X3,X1)),v_G))
| ~ hBOOL(hAPP(v_b,X1))
| ~ v_P(X2,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( ~ v_P(X1,esk4_0)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(esk4_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_21,negated_conjecture,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(esk4_0,esk5_0)),v_G))
| ~ v_P(X1,esk4_0)
| ~ hBOOL(hAPP(v_b,esk5_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( ~ v_P(X1,esk4_0)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(esk4_0,esk5_0)),v_G)) ),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_23,negated_conjecture,
~ v_P(X1,esk4_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_18])]),c_0_22]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_13,c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW326+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d SAT
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 07:51:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.99/1.20 Running first-order model finding
% 0.99/1.20 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.qSn603iTFx/E---3.1_2516.p
% 3.11/1.85 # Version: 3.2.0
% 3.11/1.85 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.11/1.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.11/1.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.11/1.85 # Starting new_bool_3 with 300s (1) cores
% 3.11/1.85 # Starting new_bool_1 with 300s (1) cores
% 3.11/1.85 # Starting sh5l with 300s (1) cores
% 3.11/1.85 # new_bool_3 with pid 2821 completed with status 0
% 3.11/1.85 # Result found by new_bool_3
% 3.11/1.85 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.11/1.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.11/1.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.11/1.85 # Starting new_bool_3 with 300s (1) cores
% 3.11/1.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.11/1.85 # Search class: FGHSM-SSLM32-DFFFFFNN
% 3.11/1.85 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.11/1.85 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 3.11/1.85 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 2825 completed with status 0
% 3.11/1.85 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 3.11/1.85 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.11/1.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.11/1.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.11/1.85 # Starting new_bool_3 with 300s (1) cores
% 3.11/1.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.11/1.85 # Search class: FGHSM-SSLM32-DFFFFFNN
% 3.11/1.85 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.11/1.85 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 3.11/1.85 # Preprocessing time : 0.027 s
% 3.11/1.85 # Presaturation interreduction done
% 3.11/1.85
% 3.11/1.85 # Proof found!
% 3.11/1.85 # SZS status Theorem
% 3.11/1.85 # SZS output start CNFRefutation
% See solution above
% 3.11/1.85 # Parsed axioms : 5207
% 3.11/1.85 # Removed by relevancy pruning/SinE : 4451
% 3.11/1.85 # Initial clauses : 1146
% 3.11/1.85 # Removed in clause preprocessing : 56
% 3.11/1.85 # Initial clauses in saturation : 1090
% 3.11/1.85 # Processed clauses : 1982
% 3.11/1.85 # ...of these trivial : 41
% 3.11/1.85 # ...subsumed : 293
% 3.11/1.85 # ...remaining for further processing : 1648
% 3.11/1.85 # Other redundant clauses eliminated : 311
% 3.11/1.85 # Clauses deleted for lack of memory : 0
% 3.11/1.85 # Backward-subsumed : 13
% 3.11/1.85 # Backward-rewritten : 32
% 3.11/1.85 # Generated clauses : 15882
% 3.11/1.85 # ...of the previous two non-redundant : 14145
% 3.11/1.85 # ...aggressively subsumed : 0
% 3.11/1.85 # Contextual simplify-reflections : 7
% 3.11/1.85 # Paramodulations : 15529
% 3.11/1.85 # Factorizations : 8
% 3.11/1.85 # NegExts : 0
% 3.11/1.85 # Equation resolutions : 355
% 3.11/1.85 # Disequality decompositions : 0
% 3.11/1.85 # Total rewrite steps : 5180
% 3.11/1.85 # ...of those cached : 3573
% 3.11/1.85 # Propositional unsat checks : 0
% 3.11/1.85 # Propositional check models : 0
% 3.11/1.85 # Propositional check unsatisfiable : 0
% 3.11/1.85 # Propositional clauses : 0
% 3.11/1.85 # Propositional clauses after purity: 0
% 3.11/1.85 # Propositional unsat core size : 0
% 3.11/1.85 # Propositional preprocessing time : 0.000
% 3.11/1.85 # Propositional encoding time : 0.000
% 3.11/1.85 # Propositional solver time : 0.000
% 3.11/1.85 # Success case prop preproc time : 0.000
% 3.11/1.85 # Success case prop encoding time : 0.000
% 3.11/1.85 # Success case prop solver time : 0.000
% 3.11/1.85 # Current number of processed clauses : 776
% 3.11/1.85 # Positive orientable unit clauses : 162
% 3.11/1.85 # Positive unorientable unit clauses: 21
% 3.11/1.85 # Negative unit clauses : 52
% 3.11/1.85 # Non-unit-clauses : 541
% 3.11/1.85 # Current number of unprocessed clauses: 13999
% 3.11/1.85 # ...number of literals in the above : 37939
% 3.11/1.85 # Current number of archived formulas : 0
% 3.11/1.85 # Current number of archived clauses : 792
% 3.11/1.85 # Clause-clause subsumption calls (NU) : 96326
% 3.11/1.85 # Rec. Clause-clause subsumption calls : 77666
% 3.11/1.85 # Non-unit clause-clause subsumptions : 211
% 3.11/1.85 # Unit Clause-clause subsumption calls : 4907
% 3.11/1.85 # Rewrite failures with RHS unbound : 0
% 3.11/1.85 # BW rewrite match attempts : 3954
% 3.11/1.85 # BW rewrite match successes : 183
% 3.11/1.85 # Condensation attempts : 0
% 3.11/1.85 # Condensation successes : 0
% 3.11/1.85 # Termbank termtop insertions : 770142
% 3.11/1.85 # Search garbage collected termcells : 57785
% 3.11/1.85
% 3.11/1.85 # -------------------------------------------------
% 3.11/1.85 # User time : 0.485 s
% 3.11/1.85 # System time : 0.033 s
% 3.11/1.85 # Total time : 0.518 s
% 3.11/1.85 # Maximum resident set size: 11992 pages
% 3.11/1.85
% 3.11/1.85 # -------------------------------------------------
% 3.11/1.85 # User time : 0.595 s
% 3.11/1.85 # System time : 0.038 s
% 3.11/1.85 # Total time : 0.633 s
% 3.11/1.85 # Maximum resident set size: 9552 pages
% 3.11/1.85 % E---3.1 exiting
% 3.11/1.85 % E exiting
%------------------------------------------------------------------------------