TSTP Solution File: SWW339+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% 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 18:14:14 EDT 2024
% Result : Theorem 60.22s 10.10s
% Output : CNFRefutation 60.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 23 ~; 23 |; 4 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 46 ( 2 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_subsetD,axiom,
! [X49,X9,X10,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),X10),X9))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X49),X10))
=> hBOOL(hAPP(hAPP(c_member(X6),X49),X9)) ) ),
file('/export/starexec/sandbox/tmp/tmp.4spHnjF1tO/E---3.1_5698.p',fact_subsetD) ).
fof(conj_3,conjecture,
! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.4spHnjF1tO/E---3.1_5698.p',conj_3) ).
fof(conj_2,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
file('/export/starexec/sandbox/tmp/tmp.4spHnjF1tO/E---3.1_5698.p',conj_2) ).
fof(conj_1,hypothesis,
! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts_H))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.4spHnjF1tO/E---3.1_5698.p',conj_1) ).
fof(fact_mem__def,axiom,
! [X10,X15,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X15),X10))
<=> hBOOL(hAPP(X10,X15)) ),
file('/export/starexec/sandbox/tmp/tmp.4spHnjF1tO/E---3.1_5698.p',fact_mem__def) ).
fof(c_0_5,plain,
! [X651,X652,X653,X654] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X654,tc_HOL_Obool)),X653),X652))
| ~ hBOOL(hAPP(hAPP(c_member(X654),X651),X653))
| hBOOL(hAPP(hAPP(c_member(X654),X651),X652)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_subsetD])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
inference(assume_negation,[status(cth)],[conj_3]) ).
cnf(c_0_7,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X4),X3))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
inference(split_conjunct,[status(thm)],[conj_2]) ).
fof(c_0_9,negated_conjecture,
! [X17613] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X17613),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk587_0,X17613) )
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk588_0),v_ts))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk587_0,esk588_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_6])])])])]) ).
fof(c_0_10,hypothesis,
! [X17609,X17611] :
( ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk586_1(X17609)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X17611),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X17609,X17611) )
& ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X17609,esk586_1(X17609))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X17611),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X17609,X17611) ) ),
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)],[conj_1])])])])])]) ).
cnf(c_0_11,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk588_0),v_ts)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X834,X835,X836] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X836),X835),X834))
| hBOOL(hAPP(X834,X835)) )
& ( ~ hBOOL(hAPP(X834,X835))
| hBOOL(hAPP(hAPP(c_member(X836),X835),X834)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).
cnf(c_0_14,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk586_1(X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk588_0),v_ts_H)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk587_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk586_1(X1)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk588_0)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk586_1(X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk587_0,X1)
| ~ hBOOL(hAPP(v_G,X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk587_0,esk588_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk588_0)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk586_1(X1)),v_G)) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
~ hBOOL(hAPP(v_G,esk586_1(esk587_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk588_0)
| hBOOL(hAPP(v_G,esk586_1(X1))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.11 % Command : run_E %s %d SAT
% 0.15/0.31 % Computer : n006.cluster.edu
% 0.15/0.31 % Model : x86_64 x86_64
% 0.15/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31 % Memory : 8042.1875MB
% 0.15/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Wed Jun 19 06:28:09 EDT 2024
% 0.15/0.31 % CPUTime :
% 1.35/1.54 Running first-order model finding
% 1.35/1.54 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.4spHnjF1tO/E---3.1_5698.p
% 60.22/10.10 # Version: 3.2.0
% 60.22/10.10 # Preprocessing class: FMLMSMSMSSSNFFN.
% 60.22/10.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.22/10.10 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 60.22/10.10 # Starting new_bool_3 with 300s (1) cores
% 60.22/10.10 # Starting new_bool_1 with 300s (1) cores
% 60.22/10.10 # Starting sh5l with 300s (1) cores
% 60.22/10.10 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5775 completed with status 0
% 60.22/10.10 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 60.22/10.10 # Preprocessing class: FMLMSMSMSSSNFFN.
% 60.22/10.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.22/10.10 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 60.22/10.10 # No SInE strategy applied
% 60.22/10.10 # Search class: FGHSM-SMLM33-DFFFFFNN
% 60.22/10.10 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 60.22/10.10 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 60.22/10.10 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 60.22/10.10 # Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 60.22/10.10 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 60.22/10.10 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 135s (1) cores
% 60.22/10.10 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5783 completed with status 0
% 60.22/10.10 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 60.22/10.10 # Preprocessing class: FMLMSMSMSSSNFFN.
% 60.22/10.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.22/10.10 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 60.22/10.10 # No SInE strategy applied
% 60.22/10.10 # Search class: FGHSM-SMLM33-DFFFFFNN
% 60.22/10.10 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 60.22/10.10 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 60.22/10.10 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 60.22/10.10 # Preprocessing time : 0.186 s
% 60.22/10.10 # Presaturation interreduction done
% 60.22/10.10
% 60.22/10.10 # Proof found!
% 60.22/10.10 # SZS status Theorem
% 60.22/10.10 # SZS output start CNFRefutation
% See solution above
% 60.22/10.10 # Parsed axioms : 5229
% 60.22/10.10 # Removed by relevancy pruning/SinE : 0
% 60.22/10.10 # Initial clauses : 7582
% 60.22/10.10 # Removed in clause preprocessing : 223
% 60.22/10.10 # Initial clauses in saturation : 7359
% 60.22/10.10 # Processed clauses : 11590
% 60.22/10.10 # ...of these trivial : 344
% 60.22/10.10 # ...subsumed : 1707
% 60.22/10.10 # ...remaining for further processing : 9539
% 60.22/10.10 # Other redundant clauses eliminated : 741
% 60.22/10.10 # Clauses deleted for lack of memory : 0
% 60.22/10.10 # Backward-subsumed : 19
% 60.22/10.10 # Backward-rewritten : 198
% 60.22/10.10 # Generated clauses : 76731
% 60.22/10.10 # ...of the previous two non-redundant : 71870
% 60.22/10.10 # ...aggressively subsumed : 0
% 60.22/10.10 # Contextual simplify-reflections : 24
% 60.22/10.10 # Paramodulations : 76007
% 60.22/10.10 # Factorizations : 10
% 60.22/10.10 # NegExts : 0
% 60.22/10.10 # Equation resolutions : 780
% 60.22/10.10 # Disequality decompositions : 0
% 60.22/10.10 # Total rewrite steps : 22425
% 60.22/10.10 # ...of those cached : 17275
% 60.22/10.10 # Propositional unsat checks : 2
% 60.22/10.10 # Propositional check models : 2
% 60.22/10.10 # Propositional check unsatisfiable : 0
% 60.22/10.10 # Propositional clauses : 0
% 60.22/10.10 # Propositional clauses after purity: 0
% 60.22/10.10 # Propositional unsat core size : 0
% 60.22/10.10 # Propositional preprocessing time : 0.000
% 60.22/10.10 # Propositional encoding time : 0.093
% 60.22/10.10 # Propositional solver time : 0.027
% 60.22/10.10 # Success case prop preproc time : 0.000
% 60.22/10.10 # Success case prop encoding time : 0.000
% 60.22/10.10 # Success case prop solver time : 0.000
% 60.22/10.10 # Current number of processed clauses : 2854
% 60.22/10.10 # Positive orientable unit clauses : 887
% 60.22/10.10 # Positive unorientable unit clauses: 12
% 60.22/10.10 # Negative unit clauses : 109
% 60.22/10.10 # Non-unit-clauses : 1846
% 60.22/10.10 # Current number of unprocessed clauses: 69631
% 60.22/10.10 # ...number of literals in the above : 197468
% 60.22/10.10 # Current number of archived formulas : 0
% 60.22/10.10 # Current number of archived clauses : 6222
% 60.22/10.10 # Clause-clause subsumption calls (NU) : 6186664
% 60.22/10.10 # Rec. Clause-clause subsumption calls : 2380773
% 60.22/10.10 # Non-unit clause-clause subsumptions : 1402
% 60.22/10.10 # Unit Clause-clause subsumption calls : 44706
% 60.22/10.10 # Rewrite failures with RHS unbound : 0
% 60.22/10.10 # BW rewrite match attempts : 39524
% 60.22/10.10 # BW rewrite match successes : 583
% 60.22/10.10 # Condensation attempts : 0
% 60.22/10.10 # Condensation successes : 0
% 60.22/10.10 # Termbank termtop insertions : 2681050
% 60.22/10.10 # Search garbage collected termcells : 103226
% 60.22/10.10
% 60.22/10.10 # -------------------------------------------------
% 60.22/10.10 # User time : 7.670 s
% 60.22/10.10 # System time : 0.214 s
% 60.22/10.10 # Total time : 7.884 s
% 60.22/10.10 # Maximum resident set size: 40712 pages
% 60.22/10.10
% 60.22/10.10 # -------------------------------------------------
% 60.22/10.10 # User time : 33.275 s
% 60.22/10.10 # System time : 0.953 s
% 60.22/10.10 # Total time : 34.229 s
% 60.22/10.10 # Maximum resident set size: 9500 pages
% 60.22/10.10 % E---3.1 exiting
% 60.22/10.10 % E exiting
%------------------------------------------------------------------------------