TSTP Solution File: SWW338+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW338+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 0.92s 2.10s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 23 ~; 24 |; 5 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 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 : 44 ( 6 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_4,conjecture,
! [X8] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X8,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X8,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_4) ).
fof(conj_3,hypothesis,
! [X8] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X8,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G_H))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X8,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).
fof(fact_mem__def,axiom,
! [X23,X37,X7] :
( hBOOL(hAPP(hAPP(c_member(X7),X37),X23))
<=> hBOOL(hAPP(X23,X37)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_mem__def) ).
fof(conj_1,hypothesis,
! [X8] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G_H))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X8,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X8,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X8] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X8,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X8,X3) ) ),
inference(assume_negation,[status(cth)],[conj_4]) ).
fof(c_0_5,hypothesis,
! [X9,X11] :
( ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X9)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X11),v_G_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X11) )
& ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X9,esk2_1(X9))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X11),v_G_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X11) ) ),
inference(distribute,[status(thm)],[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)],[conj_3])])])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X10] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X10),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X10) )
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk4_0),v_ts))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,esk4_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,
! [X38,X39,X40,X38,X39,X40] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X40),X39),X38))
| hBOOL(hAPP(X38,X39)) )
& ( ~ hBOOL(hAPP(X38,X39))
| hBOOL(hAPP(hAPP(c_member(X40),X39),X38)) ) ),
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_8,hypothesis,
! [X9,X11] :
( ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X9)),v_G_H))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X11),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X11) )
& ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X9,esk1_1(X9))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X11),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X9,X11) ) ),
inference(distribute,[status(thm)],[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)],[conj_1])])])])])])]) ).
cnf(c_0_9,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_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_11,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_1(X1)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk4_0),v_ts)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X1)),v_G_H))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(v_ts,esk4_0)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk3_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_21,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(X1),esk4_0),v_ts)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW338+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 5 21:36:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.92/2.10 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.92/2.10 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.92/2.10 # Preprocessing time : 0.247 s
% 0.92/2.10
% 0.92/2.10 # Proof found!
% 0.92/2.10 # SZS status Theorem
% 0.92/2.10 # SZS output start CNFRefutation
% See solution above
% 0.92/2.10 # Proof object total steps : 23
% 0.92/2.10 # Proof object clause steps : 14
% 0.92/2.10 # Proof object formula steps : 9
% 0.92/2.10 # Proof object conjectures : 10
% 0.92/2.10 # Proof object clause conjectures : 7
% 0.92/2.10 # Proof object formula conjectures : 3
% 0.92/2.10 # Proof object initial clauses used : 9
% 0.92/2.10 # Proof object initial formulas used : 4
% 0.92/2.10 # Proof object generating inferences : 5
% 0.92/2.10 # Proof object simplifying inferences : 4
% 0.92/2.10 # Training examples: 0 positive, 0 negative
% 0.92/2.10 # Parsed axioms : 5228
% 0.92/2.10 # Removed by relevancy pruning/SinE : 5127
% 0.92/2.10 # Initial clauses : 151
% 0.92/2.10 # Removed in clause preprocessing : 10
% 0.92/2.10 # Initial clauses in saturation : 141
% 0.92/2.10 # Processed clauses : 177
% 0.92/2.10 # ...of these trivial : 6
% 0.92/2.10 # ...subsumed : 30
% 0.92/2.10 # ...remaining for further processing : 141
% 0.92/2.10 # Other redundant clauses eliminated : 17
% 0.92/2.10 # Clauses deleted for lack of memory : 0
% 0.92/2.10 # Backward-subsumed : 1
% 0.92/2.10 # Backward-rewritten : 2
% 0.92/2.10 # Generated clauses : 480
% 0.92/2.10 # ...of the previous two non-trivial : 379
% 0.92/2.10 # Contextual simplify-reflections : 2
% 0.92/2.10 # Paramodulations : 455
% 0.92/2.10 # Factorizations : 4
% 0.92/2.10 # Equation resolutions : 21
% 0.92/2.10 # Current number of processed clauses : 121
% 0.92/2.10 # Positive orientable unit clauses : 26
% 0.92/2.10 # Positive unorientable unit clauses: 1
% 0.92/2.10 # Negative unit clauses : 14
% 0.92/2.10 # Non-unit-clauses : 80
% 0.92/2.10 # Current number of unprocessed clauses: 332
% 0.92/2.10 # ...number of literals in the above : 930
% 0.92/2.10 # Current number of archived formulas : 0
% 0.92/2.10 # Current number of archived clauses : 3
% 0.92/2.10 # Clause-clause subsumption calls (NU) : 1049
% 0.92/2.10 # Rec. Clause-clause subsumption calls : 949
% 0.92/2.10 # Non-unit clause-clause subsumptions : 24
% 0.92/2.10 # Unit Clause-clause subsumption calls : 187
% 0.92/2.10 # Rewrite failures with RHS unbound : 0
% 0.92/2.10 # BW rewrite match attempts : 172
% 0.92/2.10 # BW rewrite match successes : 4
% 0.92/2.10 # Condensation attempts : 0
% 0.92/2.10 # Condensation successes : 0
% 0.92/2.10 # Termbank termtop insertions : 153576
% 0.92/2.10
% 0.92/2.10 # -------------------------------------------------
% 0.92/2.10 # User time : 0.250 s
% 0.92/2.10 # System time : 0.012 s
% 0.92/2.10 # Total time : 0.262 s
% 0.92/2.10 # Maximum resident set size: 13828 pages
% 0.92/24.10 eprover: CPU time limit exceeded, terminating
% 0.92/24.10 eprover: CPU time limit exceeded, terminating
% 0.92/24.11 eprover: CPU time limit exceeded, terminating
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.16 eprover: No such file or directory
% 0.92/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.16 eprover: No such file or directory
% 0.92/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.16 eprover: No such file or directory
% 0.92/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.16 eprover: No such file or directory
% 0.92/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.16 eprover: No such file or directory
% 0.92/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.16 eprover: No such file or directory
% 0.92/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.17 eprover: No such file or directory
% 0.92/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.17 eprover: No such file or directory
% 0.92/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.17 eprover: No such file or directory
% 0.92/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.17 eprover: No such file or directory
% 0.92/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.92/24.18 eprover: No such file or directory
%------------------------------------------------------------------------------