TSTP Solution File: SWW311+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW311+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 18:11:35 EDT 2024
% Result : Theorem 2.08s 1.72s
% Output : CNFRefutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 7 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
! [X282] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X282))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X282,v_ts) ),
file('/export/starexec/sandbox/tmp/tmp.bEtGxr9SHb/E---3.1_24295.p',conj_1) ).
fof(fact_asm,axiom,
! [X4,X5,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)),X5),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.bEtGxr9SHb/E---3.1_24295.p',fact_asm) ).
fof(fact_cut,axiom,
! [X4,X5,X8,X6] :
( c_Hoare__Mirabelle_Ohoare__derivs(X6,X8,X5)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X8)
=> c_Hoare__Mirabelle_Ohoare__derivs(X6,X4,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.bEtGxr9SHb/E---3.1_24295.p',fact_cut) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('/export/starexec/sandbox/tmp/tmp.bEtGxr9SHb/E---3.1_24295.p',conj_0) ).
fof(c_0_4,negated_conjecture,
~ ! [X282] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X282))
=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,X282,v_ts) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_5,plain,
! [X284,X285,X286] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X286),tc_HOL_Obool)),X285),X284))
| c_Hoare__Mirabelle_Ohoare__derivs(X286,X284,X285) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])])]) ).
fof(c_0_6,negated_conjecture,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),esk1_0))
& ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,esk1_0,v_ts) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X291,X292,X293,X294] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X294,X293,X292)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X294,X291,X293)
| c_Hoare__Mirabelle_Ohoare__derivs(X294,X291,X292) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])])]) ).
cnf(c_0_8,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,esk1_0,v_G_H),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,esk1_0,v_ts),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,esk1_0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW311+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n013.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Jun 19 07:45:24 EDT 2024
% 0.11/0.31 % CPUTime :
% 1.13/1.31 Running first-order theorem proving
% 1.13/1.32 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.bEtGxr9SHb/E---3.1_24295.p
% 2.08/1.72 # Version: 3.2.0
% 2.08/1.72 # Preprocessing class: FMLMSMSMSSSNFFN.
% 2.08/1.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.08/1.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.08/1.72 # Starting new_bool_3 with 300s (1) cores
% 2.08/1.72 # Starting new_bool_1 with 300s (1) cores
% 2.08/1.72 # Starting sh5l with 300s (1) cores
% 2.08/1.72 # new_bool_1 with pid 24375 completed with status 0
% 2.08/1.72 # Result found by new_bool_1
% 2.08/1.72 # Preprocessing class: FMLMSMSMSSSNFFN.
% 2.08/1.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.08/1.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.08/1.72 # Starting new_bool_3 with 300s (1) cores
% 2.08/1.72 # Starting new_bool_1 with 300s (1) cores
% 2.08/1.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.08/1.72 # Search class: FGHSM-FSLM32-DFFFFFNN
% 2.08/1.72 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.08/1.72 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 2.08/1.72 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 24377 completed with status 0
% 2.08/1.72 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 2.08/1.72 # Preprocessing class: FMLMSMSMSSSNFFN.
% 2.08/1.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.08/1.72 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.08/1.72 # Starting new_bool_3 with 300s (1) cores
% 2.08/1.72 # Starting new_bool_1 with 300s (1) cores
% 2.08/1.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.08/1.72 # Search class: FGHSM-FSLM32-DFFFFFNN
% 2.08/1.72 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 2.08/1.72 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 2.08/1.72 # Preprocessing time : 0.014 s
% 2.08/1.72
% 2.08/1.72 # Proof found!
% 2.08/1.72 # SZS status Theorem
% 2.08/1.72 # SZS output start CNFRefutation
% See solution above
% 2.08/1.72 # Parsed axioms : 5223
% 2.08/1.72 # Removed by relevancy pruning/SinE : 4809
% 2.08/1.72 # Initial clauses : 607
% 2.08/1.72 # Removed in clause preprocessing : 27
% 2.08/1.72 # Initial clauses in saturation : 580
% 2.08/1.72 # Processed clauses : 601
% 2.08/1.72 # ...of these trivial : 5
% 2.08/1.72 # ...subsumed : 115
% 2.08/1.72 # ...remaining for further processing : 481
% 2.08/1.72 # Other redundant clauses eliminated : 81
% 2.08/1.72 # Clauses deleted for lack of memory : 0
% 2.08/1.72 # Backward-subsumed : 2
% 2.08/1.72 # Backward-rewritten : 7
% 2.08/1.72 # Generated clauses : 9031
% 2.08/1.72 # ...of the previous two non-redundant : 7971
% 2.08/1.72 # ...aggressively subsumed : 0
% 2.08/1.72 # Contextual simplify-reflections : 4
% 2.08/1.72 # Paramodulations : 8926
% 2.08/1.72 # Factorizations : 8
% 2.08/1.72 # NegExts : 0
% 2.08/1.72 # Equation resolutions : 98
% 2.08/1.72 # Disequality decompositions : 0
% 2.08/1.72 # Total rewrite steps : 2670
% 2.08/1.72 # ...of those cached : 1809
% 2.08/1.72 # Propositional unsat checks : 0
% 2.08/1.72 # Propositional check models : 0
% 2.08/1.72 # Propositional check unsatisfiable : 0
% 2.08/1.72 # Propositional clauses : 0
% 2.08/1.72 # Propositional clauses after purity: 0
% 2.08/1.72 # Propositional unsat core size : 0
% 2.08/1.72 # Propositional preprocessing time : 0.000
% 2.08/1.72 # Propositional encoding time : 0.000
% 2.08/1.72 # Propositional solver time : 0.000
% 2.08/1.72 # Success case prop preproc time : 0.000
% 2.08/1.72 # Success case prop encoding time : 0.000
% 2.08/1.72 # Success case prop solver time : 0.000
% 2.08/1.72 # Current number of processed clauses : 449
% 2.08/1.72 # Positive orientable unit clauses : 103
% 2.08/1.72 # Positive unorientable unit clauses: 16
% 2.08/1.72 # Negative unit clauses : 11
% 2.08/1.72 # Non-unit-clauses : 319
% 2.08/1.72 # Current number of unprocessed clauses: 7947
% 2.08/1.72 # ...number of literals in the above : 21800
% 2.08/1.72 # Current number of archived formulas : 0
% 2.08/1.72 # Current number of archived clauses : 9
% 2.08/1.72 # Clause-clause subsumption calls (NU) : 16926
% 2.08/1.72 # Rec. Clause-clause subsumption calls : 12285
% 2.08/1.72 # Non-unit clause-clause subsumptions : 100
% 2.08/1.72 # Unit Clause-clause subsumption calls : 628
% 2.08/1.72 # Rewrite failures with RHS unbound : 38
% 2.08/1.72 # BW rewrite match attempts : 1431
% 2.08/1.72 # BW rewrite match successes : 74
% 2.08/1.72 # Condensation attempts : 0
% 2.08/1.72 # Condensation successes : 0
% 2.08/1.72 # Termbank termtop insertions : 480609
% 2.08/1.72 # Search garbage collected termcells : 53786
% 2.08/1.72
% 2.08/1.72 # -------------------------------------------------
% 2.08/1.72 # User time : 0.221 s
% 2.08/1.72 # System time : 0.019 s
% 2.08/1.72 # Total time : 0.240 s
% 2.08/1.72 # Maximum resident set size: 11084 pages
% 2.08/1.72
% 2.08/1.72 # -------------------------------------------------
% 2.08/1.72 # User time : 0.366 s
% 2.08/1.72 # System time : 0.026 s
% 2.08/1.72 # Total time : 0.392 s
% 2.08/1.72 # Maximum resident set size: 9488 pages
% 2.08/1.72 % E---3.1 exiting
% 2.08/1.72 % E exiting
%------------------------------------------------------------------------------