TSTP Solution File: SWW337+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW337+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 : 600s
% DateTime : Thu Jul 21 00:10:35 EDT 2022
% Result : Theorem 0.93s 2.12s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 11 |; 3 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 6 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
! [X11] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X11,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X11,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(fact_mem__def,axiom,
! [X5,X13,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X13),X5))
<=> hBOOL(hAPP(X5,X13)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_mem__def) ).
fof(fact_subsetD,axiom,
! [X44,X4,X5,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),X5),X4))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X44),X5))
=> hBOOL(hAPP(hAPP(c_member(X6),X44),X4)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_subsetD) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(c_0_4,negated_conjecture,
~ ! [X11] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X11,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X11,X3) ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_5,plain,
! [X14,X15,X16,X14,X15,X16] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X16),X15),X14))
| hBOOL(hAPP(X14,X15)) )
& ( ~ hBOOL(hAPP(X14,X15))
| hBOOL(hAPP(hAPP(c_member(X16),X15),X14)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])])]) ).
fof(c_0_6,negated_conjecture,
! [X13] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X13),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,X13) )
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),v_ts))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,esk2_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
fof(c_0_7,plain,
! [X45,X46,X47,X48] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X48,tc_HOL_Obool)),X47),X46))
| ~ hBOOL(hAPP(hAPP(c_member(X48),X45),X47))
| hBOOL(hAPP(hAPP(c_member(X48),X45),X46)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_subsetD])]) ).
cnf(c_0_8,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),v_ts)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk1_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
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,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
hBOOL(hAPP(v_ts,esk2_0)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_16,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_0),v_G)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(X1),esk2_0),v_ts)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWW337+1 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.07 % Command : run_ET %s %d
% 0.06/0.25 % Computer : n020.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sun Jun 5 05:52:37 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.93/2.12 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.93/2.12 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.93/2.12 # Preprocessing time : 0.228 s
% 0.93/2.12
% 0.93/2.12 # Proof found!
% 0.93/2.12 # SZS status Theorem
% 0.93/2.12 # SZS output start CNFRefutation
% See solution above
% 0.93/2.12 # Proof object total steps : 20
% 0.93/2.12 # Proof object clause steps : 12
% 0.93/2.12 # Proof object formula steps : 8
% 0.93/2.12 # Proof object conjectures : 9
% 0.93/2.12 # Proof object clause conjectures : 6
% 0.93/2.12 # Proof object formula conjectures : 3
% 0.93/2.12 # Proof object initial clauses used : 7
% 0.93/2.12 # Proof object initial formulas used : 4
% 0.93/2.12 # Proof object generating inferences : 5
% 0.93/2.12 # Proof object simplifying inferences : 2
% 0.93/2.12 # Training examples: 0 positive, 0 negative
% 0.93/2.12 # Parsed axioms : 5226
% 0.93/2.12 # Removed by relevancy pruning/SinE : 5125
% 0.93/2.12 # Initial clauses : 142
% 0.93/2.12 # Removed in clause preprocessing : 16
% 0.93/2.12 # Initial clauses in saturation : 126
% 0.93/2.12 # Processed clauses : 134
% 0.93/2.12 # ...of these trivial : 1
% 0.93/2.12 # ...subsumed : 24
% 0.93/2.12 # ...remaining for further processing : 109
% 0.93/2.12 # Other redundant clauses eliminated : 17
% 0.93/2.12 # Clauses deleted for lack of memory : 0
% 0.93/2.12 # Backward-subsumed : 3
% 0.93/2.12 # Backward-rewritten : 2
% 0.93/2.12 # Generated clauses : 341
% 0.93/2.12 # ...of the previous two non-trivial : 263
% 0.93/2.12 # Contextual simplify-reflections : 1
% 0.93/2.12 # Paramodulations : 315
% 0.93/2.12 # Factorizations : 8
% 0.93/2.12 # Equation resolutions : 18
% 0.93/2.12 # Current number of processed clauses : 87
% 0.93/2.12 # Positive orientable unit clauses : 19
% 0.93/2.12 # Positive unorientable unit clauses: 2
% 0.93/2.12 # Negative unit clauses : 8
% 0.93/2.12 # Non-unit-clauses : 58
% 0.93/2.12 # Current number of unprocessed clauses: 248
% 0.93/2.12 # ...number of literals in the above : 540
% 0.93/2.12 # Current number of archived formulas : 0
% 0.93/2.12 # Current number of archived clauses : 5
% 0.93/2.12 # Clause-clause subsumption calls (NU) : 502
% 0.93/2.12 # Rec. Clause-clause subsumption calls : 488
% 0.93/2.12 # Non-unit clause-clause subsumptions : 25
% 0.93/2.12 # Unit Clause-clause subsumption calls : 92
% 0.93/2.12 # Rewrite failures with RHS unbound : 0
% 0.93/2.12 # BW rewrite match attempts : 40
% 0.93/2.12 # BW rewrite match successes : 6
% 0.93/2.12 # Condensation attempts : 0
% 0.93/2.12 # Condensation successes : 0
% 0.93/2.12 # Termbank termtop insertions : 147870
% 0.93/2.12
% 0.93/2.12 # -------------------------------------------------
% 0.93/2.12 # User time : 0.225 s
% 0.93/2.12 # System time : 0.013 s
% 0.93/2.12 # Total time : 0.238 s
% 0.93/2.12 # Maximum resident set size: 13412 pages
% 0.93/24.12 eprover: CPU time limit exceeded, terminating
% 0.93/24.12 eprover: CPU time limit exceeded, terminating
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.18 eprover: No such file or directory
% 0.93/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.18 eprover: No such file or directory
% 0.93/24.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.19 eprover: No such file or directory
% 0.93/24.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.19 eprover: No such file or directory
%------------------------------------------------------------------------------