TSTP Solution File: SWW334+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW334+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 0.88s 2.07s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 10 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 11 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_mem__def,axiom,
! [X20,X48,X8] :
( hBOOL(hAPP(hAPP(c_member(X8),X48),X20))
<=> hBOOL(hAPP(X20,X48)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_mem__def) ).
fof(conj_4,conjecture,
c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_4) ).
fof(fact_Body__triple__valid__Suc,axiom,
! [X4,X5,X6,X7,X8] :
( c_Hoare__Mirabelle_Otriple__valid(X8,X7,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X8),X6),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X5))),X4))
<=> c_Hoare__Mirabelle_Otriple__valid(X8,hAPP(c_Nat_OSuc,X7),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X8),X6),hAPP(c_Com_Ocom_OBODY,X5)),X4)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Body__triple__valid__Suc) ).
fof(conj_3,hypothesis,
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X3),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X3)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),v_Q(X3))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(c_0_5,plain,
! [X49,X50,X51,X49,X50,X51] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X51),X50),X49))
| hBOOL(hAPP(X49,X50)) )
& ( ~ hBOOL(hAPP(X49,X50))
| hBOOL(hAPP(hAPP(c_member(X51),X50),X49)) ) ),
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,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(assume_negation,[status(cth)],[conj_4]) ).
fof(c_0_7,plain,
! [X9,X10,X11,X12,X13,X9,X10,X11,X12,X13] :
( ( ~ c_Hoare__Mirabelle_Otriple__valid(X13,X12,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X13),X11),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X10))),X9))
| c_Hoare__Mirabelle_Otriple__valid(X13,hAPP(c_Nat_OSuc,X12),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X13),X11),hAPP(c_Com_Ocom_OBODY,X10)),X9)) )
& ( ~ c_Hoare__Mirabelle_Otriple__valid(X13,hAPP(c_Nat_OSuc,X12),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X13),X11),hAPP(c_Com_Ocom_OBODY,X10)),X9))
| c_Hoare__Mirabelle_Otriple__valid(X13,X12,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X13),X11),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X10))),X9)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Body__triple__valid__Suc])])])]) ).
fof(c_0_8,hypothesis,
! [X4] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X4),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X4)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),v_Q(X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_3])]) ).
cnf(c_0_9,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
fof(c_0_11,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5))
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),v_Q(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
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,hypothesis,
hBOOL(hAPP(v_Procs,v_x)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X1)),hAPP(c_Com_Ocom_OBODY,X1)),v_Q(X1)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X1),v_Procs)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,hypothesis,
hBOOL(hAPP(hAPP(c_member(X1),v_x),v_Procs)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
$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
% 0.00/0.11 % Problem : SWW334+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : run_ET %s %d
% 0.12/0.31 % Computer : n028.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 6 07:27:13 EDT 2022
% 0.16/0.32 % CPUTime :
% 0.88/2.07 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.88/2.07 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.88/2.07 # Preprocessing time : 0.245 s
% 0.88/2.07
% 0.88/2.07 # Proof found!
% 0.88/2.07 # SZS status Theorem
% 0.88/2.07 # SZS output start CNFRefutation
% See solution above
% 0.88/2.07 # Proof object total steps : 20
% 0.88/2.07 # Proof object clause steps : 10
% 0.88/2.07 # Proof object formula steps : 10
% 0.88/2.07 # Proof object conjectures : 5
% 0.88/2.07 # Proof object clause conjectures : 2
% 0.88/2.07 # Proof object formula conjectures : 3
% 0.88/2.07 # Proof object initial clauses used : 6
% 0.88/2.07 # Proof object initial formulas used : 5
% 0.88/2.07 # Proof object generating inferences : 4
% 0.88/2.07 # Proof object simplifying inferences : 2
% 0.88/2.07 # Training examples: 0 positive, 0 negative
% 0.88/2.07 # Parsed axioms : 5209
% 0.88/2.07 # Removed by relevancy pruning/SinE : 5108
% 0.88/2.07 # Initial clauses : 139
% 0.88/2.07 # Removed in clause preprocessing : 13
% 0.88/2.07 # Initial clauses in saturation : 126
% 0.88/2.07 # Processed clauses : 133
% 0.88/2.07 # ...of these trivial : 2
% 0.88/2.07 # ...subsumed : 22
% 0.88/2.07 # ...remaining for further processing : 109
% 0.88/2.07 # Other redundant clauses eliminated : 7
% 0.88/2.07 # Clauses deleted for lack of memory : 0
% 0.88/2.07 # Backward-subsumed : 1
% 0.88/2.07 # Backward-rewritten : 1
% 0.88/2.07 # Generated clauses : 382
% 0.88/2.07 # ...of the previous two non-trivial : 342
% 0.88/2.07 # Contextual simplify-reflections : 1
% 0.88/2.07 # Paramodulations : 366
% 0.88/2.07 # Factorizations : 0
% 0.88/2.07 # Equation resolutions : 16
% 0.88/2.07 # Current number of processed clauses : 105
% 0.88/2.07 # Positive orientable unit clauses : 18
% 0.88/2.07 # Positive unorientable unit clauses: 0
% 0.88/2.07 # Negative unit clauses : 7
% 0.88/2.07 # Non-unit-clauses : 80
% 0.88/2.07 # Current number of unprocessed clauses: 333
% 0.88/2.07 # ...number of literals in the above : 1022
% 0.88/2.07 # Current number of archived formulas : 0
% 0.88/2.07 # Current number of archived clauses : 2
% 0.88/2.07 # Clause-clause subsumption calls (NU) : 1657
% 0.88/2.07 # Rec. Clause-clause subsumption calls : 1286
% 0.88/2.07 # Non-unit clause-clause subsumptions : 15
% 0.88/2.07 # Unit Clause-clause subsumption calls : 124
% 0.88/2.07 # Rewrite failures with RHS unbound : 0
% 0.88/2.07 # BW rewrite match attempts : 10
% 0.88/2.07 # BW rewrite match successes : 1
% 0.88/2.07 # Condensation attempts : 0
% 0.88/2.07 # Condensation successes : 0
% 0.88/2.07 # Termbank termtop insertions : 152259
% 0.88/2.07
% 0.88/2.07 # -------------------------------------------------
% 0.88/2.07 # User time : 0.243 s
% 0.88/2.07 # System time : 0.015 s
% 0.88/2.08 # Total time : 0.258 s
% 0.88/2.08 # Maximum resident set size: 13776 pages
% 0.90/24.07 eprover: CPU time limit exceeded, terminating
% 0.90/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.08 eprover: No such file or directory
% 0.90/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.09 eprover: No such file or directory
% 0.90/24.09 eprover: CPU time limit exceeded, terminating
% 0.90/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.09 eprover: No such file or directory
% 0.90/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.10 eprover: No such file or directory
% 0.90/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.11 eprover: No such file or directory
% 0.90/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.11 eprover: No such file or directory
% 0.90/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.11 eprover: No such file or directory
% 0.90/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.11 eprover: No such file or directory
% 0.90/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.12 eprover: No such file or directory
% 0.90/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.12 eprover: No such file or directory
% 0.90/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.12 eprover: No such file or directory
% 0.90/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.13 eprover: No such file or directory
% 0.90/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.13 eprover: No such file or directory
% 0.90/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.13 eprover: No such file or directory
% 0.90/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.14 eprover: No such file or directory
% 0.90/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.14 eprover: No such file or directory
% 0.90/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.14 eprover: No such file or directory
% 0.90/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.14 eprover: No such file or directory
% 0.90/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.15 eprover: No such file or directory
% 0.90/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.15 eprover: No such file or directory
% 0.90/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.16 eprover: No such file or directory
% 0.90/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.17 eprover: No such file or directory
%------------------------------------------------------------------------------