TSTP Solution File: SWW313+1 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW313+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 1.62s 2.20s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 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 : 22 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/tmp/tmp.DUwb1aj5lE/E---3.1_16308.p',fact_asm) ).
fof(conj_2,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox2/tmp/tmp.DUwb1aj5lE/E---3.1_16308.p',conj_2) ).
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/sandbox2/tmp/tmp.DUwb1aj5lE/E---3.1_16308.p',fact_cut) ).
fof(conj_1,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
file('/export/starexec/sandbox2/tmp/tmp.DUwb1aj5lE/E---3.1_16308.p',conj_1) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
file('/export/starexec/sandbox2/tmp/tmp.DUwb1aj5lE/E---3.1_16308.p',conj_0) ).
fof(c_0_5,plain,
! [X399,X400,X401] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X401),tc_HOL_Obool)),X400),X399))
| c_Hoare__Mirabelle_Ohoare__derivs(X401,X399,X400) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])])]) ).
fof(c_0_6,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])]) ).
fof(c_0_7,plain,
! [X415,X416,X417,X418] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X418,X417,X416)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X418,X415,X417)
| c_Hoare__Mirabelle_Ohoare__derivs(X418,X415,X416) ),
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,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_10,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
cnf(c_0_11,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_12,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW313+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 06:09:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.37/1.56 Running first-order theorem proving
% 1.37/1.56 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.DUwb1aj5lE/E---3.1_16308.p
% 1.62/2.20 # Version: 3.2.0
% 1.62/2.20 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.62/2.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.62/2.20 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.62/2.20 # Starting new_bool_3 with 300s (1) cores
% 1.62/2.20 # Starting new_bool_1 with 300s (1) cores
% 1.62/2.20 # Starting sh5l with 300s (1) cores
% 1.62/2.20 # new_bool_3 with pid 16389 completed with status 0
% 1.62/2.20 # Result found by new_bool_3
% 1.62/2.20 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.62/2.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.62/2.20 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.62/2.20 # Starting new_bool_3 with 300s (1) cores
% 1.62/2.20 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.62/2.20 # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.62/2.20 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.62/2.20 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.62/2.20 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 16392 completed with status 0
% 1.62/2.20 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 1.62/2.20 # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.62/2.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.62/2.20 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.62/2.20 # Starting new_bool_3 with 300s (1) cores
% 1.62/2.20 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.62/2.20 # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.62/2.20 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.62/2.20 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.62/2.20 # Preprocessing time : 0.019 s
% 1.62/2.20
% 1.62/2.20 # Proof found!
% 1.62/2.20 # SZS status Theorem
% 1.62/2.20 # SZS output start CNFRefutation
% See solution above
% 1.62/2.20 # Parsed axioms : 5228
% 1.62/2.20 # Removed by relevancy pruning/SinE : 4781
% 1.62/2.20 # Initial clauses : 663
% 1.62/2.20 # Removed in clause preprocessing : 31
% 1.62/2.20 # Initial clauses in saturation : 632
% 1.62/2.20 # Processed clauses : 649
% 1.62/2.20 # ...of these trivial : 5
% 1.62/2.20 # ...subsumed : 119
% 1.62/2.20 # ...remaining for further processing : 525
% 1.62/2.20 # Other redundant clauses eliminated : 97
% 1.62/2.20 # Clauses deleted for lack of memory : 0
% 1.62/2.20 # Backward-subsumed : 5
% 1.62/2.20 # Backward-rewritten : 6
% 1.62/2.20 # Generated clauses : 10814
% 1.62/2.20 # ...of the previous two non-redundant : 9459
% 1.62/2.20 # ...aggressively subsumed : 0
% 1.62/2.20 # Contextual simplify-reflections : 4
% 1.62/2.20 # Paramodulations : 10690
% 1.62/2.20 # Factorizations : 8
% 1.62/2.20 # NegExts : 0
% 1.62/2.20 # Equation resolutions : 117
% 1.62/2.20 # Disequality decompositions : 0
% 1.62/2.20 # Total rewrite steps : 3383
% 1.62/2.20 # ...of those cached : 2395
% 1.62/2.20 # Propositional unsat checks : 0
% 1.62/2.20 # Propositional check models : 0
% 1.62/2.20 # Propositional check unsatisfiable : 0
% 1.62/2.20 # Propositional clauses : 0
% 1.62/2.20 # Propositional clauses after purity: 0
% 1.62/2.20 # Propositional unsat core size : 0
% 1.62/2.20 # Propositional preprocessing time : 0.000
% 1.62/2.20 # Propositional encoding time : 0.000
% 1.62/2.20 # Propositional solver time : 0.000
% 1.62/2.20 # Success case prop preproc time : 0.000
% 1.62/2.20 # Success case prop encoding time : 0.000
% 1.62/2.20 # Success case prop solver time : 0.000
% 1.62/2.20 # Current number of processed clauses : 491
% 1.62/2.20 # Positive orientable unit clauses : 110
% 1.62/2.20 # Positive unorientable unit clauses: 18
% 1.62/2.20 # Negative unit clauses : 11
% 1.62/2.20 # Non-unit-clauses : 352
% 1.62/2.20 # Current number of unprocessed clauses: 9439
% 1.62/2.20 # ...number of literals in the above : 26258
% 1.62/2.20 # Current number of archived formulas : 0
% 1.62/2.20 # Current number of archived clauses : 11
% 1.62/2.20 # Clause-clause subsumption calls (NU) : 20333
% 1.62/2.20 # Rec. Clause-clause subsumption calls : 16258
% 1.62/2.20 # Non-unit clause-clause subsumptions : 112
% 1.62/2.20 # Unit Clause-clause subsumption calls : 271
% 1.62/2.20 # Rewrite failures with RHS unbound : 39
% 1.62/2.20 # BW rewrite match attempts : 1754
% 1.62/2.20 # BW rewrite match successes : 74
% 1.62/2.20 # Condensation attempts : 0
% 1.62/2.20 # Condensation successes : 0
% 1.62/2.20 # Termbank termtop insertions : 536207
% 1.62/2.20 # Search garbage collected termcells : 54280
% 1.62/2.20
% 1.62/2.20 # -------------------------------------------------
% 1.62/2.20 # User time : 0.379 s
% 1.62/2.20 # System time : 0.015 s
% 1.62/2.20 # Total time : 0.394 s
% 1.62/2.20 # Maximum resident set size: 11172 pages
% 1.62/2.20
% 1.62/2.20 # -------------------------------------------------
% 1.62/2.20 # User time : 0.614 s
% 1.62/2.20 # System time : 0.022 s
% 1.62/2.20 # Total time : 0.636 s
% 1.62/2.20 # Maximum resident set size: 9500 pages
% 1.62/2.20 % E---3.1 exiting
% 1.62/2.21 % E exiting
%------------------------------------------------------------------------------