TSTP Solution File: SWW312+1 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW312+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 3.46s 2.27s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 27 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_hoare__derivs_Oinsert,axiom,
! [X7,X10,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),X10),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7)
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),X10),X7)) ) ),
file('/export/starexec/sandbox/tmp/tmp.QvSi0qijZO/E---3.1_7343.p',fact_hoare__derivs_Oinsert) ).
fof(fact_singleton__conv2,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
file('/export/starexec/sandbox/tmp/tmp.QvSi0qijZO/E---3.1_7343.p',fact_singleton__conv2) ).
fof(conj_5,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
file('/export/starexec/sandbox/tmp/tmp.QvSi0qijZO/E---3.1_7343.p',conj_5) ).
fof(conj_3,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/tmp/tmp.QvSi0qijZO/E---3.1_7343.p',conj_3) ).
fof(conj_4,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox/tmp/tmp.QvSi0qijZO/E---3.1_7343.p',conj_4) ).
fof(c_0_5,plain,
! [X303,X304,X305,X306] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X306,X305,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X306)),X304),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X306),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X306,X305,X303)
| c_Hoare__Mirabelle_Ohoare__derivs(X306,X305,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X306)),X304),X303)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_hoare__derivs_Oinsert])])]) ).
fof(c_0_6,plain,
! [X1747,X1748] : hAPP(c_Set_OCollect(X1748),hAPP(c_fequal,X1747)) = hAPP(hAPP(c_Set_Oinsert(X1748),X1747),c_Orderings_Obot__class_Obot(tc_fun(X1748,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).
fof(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_5])]) ).
cnf(c_0_8,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_3]) ).
fof(c_0_11,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(c_fequal,X3)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4) ),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_Set_OCollect(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal,v_t))),
inference(rw,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(split_conjunct,[status(thm)],[conj_4]) ).
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
% 0.06/0.11 % Problem : SWW312+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Wed Jun 19 07:08:08 EDT 2024
% 0.16/0.31 % CPUTime :
% 1.30/1.52 Running first-order theorem proving
% 1.30/1.52 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.QvSi0qijZO/E---3.1_7343.p
% 3.46/2.27 # Version: 3.2.0
% 3.46/2.27 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.46/2.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.46/2.27 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.46/2.27 # Starting new_bool_3 with 300s (1) cores
% 3.46/2.27 # Starting new_bool_1 with 300s (1) cores
% 3.46/2.27 # Starting sh5l with 300s (1) cores
% 3.46/2.27 # new_bool_1 with pid 7423 completed with status 0
% 3.46/2.27 # Result found by new_bool_1
% 3.46/2.27 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.46/2.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.46/2.27 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.46/2.27 # Starting new_bool_3 with 300s (1) cores
% 3.46/2.27 # Starting new_bool_1 with 300s (1) cores
% 3.46/2.27 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.46/2.27 # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.46/2.27 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.46/2.27 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.46/2.27 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 7426 completed with status 0
% 3.46/2.27 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 3.46/2.27 # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.46/2.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.46/2.27 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.46/2.27 # Starting new_bool_3 with 300s (1) cores
% 3.46/2.27 # Starting new_bool_1 with 300s (1) cores
% 3.46/2.27 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.46/2.27 # Search class: FGHSM-FSLM32-DFFFFFNN
% 3.46/2.27 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.46/2.27 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 3.46/2.27 # Preprocessing time : 0.024 s
% 3.46/2.27
% 3.46/2.27 # Proof found!
% 3.46/2.27 # SZS status Theorem
% 3.46/2.27 # SZS output start CNFRefutation
% See solution above
% 3.46/2.27 # Parsed axioms : 5245
% 3.46/2.27 # Removed by relevancy pruning/SinE : 4674
% 3.46/2.27 # Initial clauses : 822
% 3.46/2.27 # Removed in clause preprocessing : 33
% 3.46/2.27 # Initial clauses in saturation : 789
% 3.46/2.27 # Processed clauses : 829
% 3.46/2.27 # ...of these trivial : 12
% 3.46/2.27 # ...subsumed : 138
% 3.46/2.27 # ...remaining for further processing : 679
% 3.46/2.27 # Other redundant clauses eliminated : 111
% 3.46/2.27 # Clauses deleted for lack of memory : 0
% 3.46/2.27 # Backward-subsumed : 4
% 3.46/2.27 # Backward-rewritten : 11
% 3.46/2.27 # Generated clauses : 12602
% 3.46/2.27 # ...of the previous two non-redundant : 11083
% 3.46/2.27 # ...aggressively subsumed : 0
% 3.46/2.27 # Contextual simplify-reflections : 5
% 3.46/2.27 # Paramodulations : 12459
% 3.46/2.27 # Factorizations : 8
% 3.46/2.27 # NegExts : 0
% 3.46/2.27 # Equation resolutions : 136
% 3.46/2.27 # Disequality decompositions : 0
% 3.46/2.27 # Total rewrite steps : 4181
% 3.46/2.27 # ...of those cached : 2980
% 3.46/2.27 # Propositional unsat checks : 0
% 3.46/2.27 # Propositional check models : 0
% 3.46/2.27 # Propositional check unsatisfiable : 0
% 3.46/2.27 # Propositional clauses : 0
% 3.46/2.27 # Propositional clauses after purity: 0
% 3.46/2.27 # Propositional unsat core size : 0
% 3.46/2.27 # Propositional preprocessing time : 0.000
% 3.46/2.27 # Propositional encoding time : 0.000
% 3.46/2.27 # Propositional solver time : 0.000
% 3.46/2.27 # Success case prop preproc time : 0.000
% 3.46/2.27 # Success case prop encoding time : 0.000
% 3.46/2.27 # Success case prop solver time : 0.000
% 3.46/2.27 # Current number of processed clauses : 637
% 3.46/2.27 # Positive orientable unit clauses : 168
% 3.46/2.27 # Positive unorientable unit clauses: 17
% 3.46/2.27 # Negative unit clauses : 24
% 3.46/2.27 # Non-unit-clauses : 428
% 3.46/2.27 # Current number of unprocessed clauses: 11039
% 3.46/2.27 # ...number of literals in the above : 31104
% 3.46/2.27 # Current number of archived formulas : 0
% 3.46/2.27 # Current number of archived clauses : 15
% 3.46/2.27 # Clause-clause subsumption calls (NU) : 23875
% 3.46/2.27 # Rec. Clause-clause subsumption calls : 14919
% 3.46/2.27 # Non-unit clause-clause subsumptions : 128
% 3.46/2.27 # Unit Clause-clause subsumption calls : 2001
% 3.46/2.27 # Rewrite failures with RHS unbound : 20
% 3.46/2.27 # BW rewrite match attempts : 3037
% 3.46/2.27 # BW rewrite match successes : 99
% 3.46/2.27 # Condensation attempts : 0
% 3.46/2.27 # Condensation successes : 0
% 3.46/2.27 # Termbank termtop insertions : 601155
% 3.46/2.27 # Search garbage collected termcells : 54724
% 3.46/2.27
% 3.46/2.27 # -------------------------------------------------
% 3.46/2.27 # User time : 0.483 s
% 3.46/2.27 # System time : 0.021 s
% 3.46/2.27 # Total time : 0.504 s
% 3.46/2.27 # Maximum resident set size: 11408 pages
% 3.46/2.27
% 3.46/2.27 # -------------------------------------------------
% 3.46/2.27 # User time : 0.696 s
% 3.46/2.27 # System time : 0.036 s
% 3.46/2.27 # Total time : 0.732 s
% 3.46/2.27 # Maximum resident set size: 9544 pages
% 3.46/2.27 % E---3.1 exiting
% 3.46/2.27 % E exiting
%------------------------------------------------------------------------------