TSTP Solution File: SWW339+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW339+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 00:10:36 EDT 2022
% Result : Theorem 0.92s 2.11s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 22 ~; 21 |; 4 &)
% ( 1 <=>; 11 =>; 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 : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 49 ( 7 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_3,conjecture,
! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).
fof(fact_subsetD,axiom,
! [X49,X9,X10,X6] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool)),X10),X9))
=> ( hBOOL(hAPP(hAPP(c_member(X6),X49),X10))
=> hBOOL(hAPP(hAPP(c_member(X6),X49),X9)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_subsetD) ).
fof(fact_mem__def,axiom,
! [X10,X15,X6] :
( hBOOL(hAPP(hAPP(c_member(X6),X15),X10))
<=> hBOOL(hAPP(X10,X15)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_mem__def) ).
fof(conj_2,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).
fof(conj_1,hypothesis,
! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts_H))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X13] :
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) )
=> ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X13,X3) ) ),
inference(assume_negation,[status(cth)],[conj_3]) ).
fof(c_0_6,plain,
! [X50,X51,X52,X53] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X53,tc_HOL_Obool)),X52),X51))
| ~ hBOOL(hAPP(hAPP(c_member(X53),X50),X52))
| hBOOL(hAPP(hAPP(c_member(X53),X50),X51)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_subsetD])]) ).
fof(c_0_7,plain,
! [X16,X17,X18,X16,X17,X18] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X18),X17),X16))
| hBOOL(hAPP(X16,X17)) )
& ( ~ hBOOL(hAPP(X16,X17))
| hBOOL(hAPP(hAPP(c_member(X18),X17),X16)) ) ),
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,negated_conjecture,
! [X15] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X15),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X15) )
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_ts))
& ~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,esk3_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_5])])])])])]) ).
cnf(c_0_9,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_6]) ).
cnf(c_0_10,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
inference(split_conjunct,[status(thm)],[conj_2]) ).
cnf(c_0_11,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk3_0),v_ts)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
hBOOL(hAPP(v_ts,esk3_0)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,hypothesis,
! [X14,X16] :
( ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_1(X14)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X16),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X14,X16) )
& ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X14,esk1_1(X14))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X16),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X14,X16) ) ),
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_17,hypothesis,
( hBOOL(hAPP(v_ts_H,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(X1),esk3_0),v_ts)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
( c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,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))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
hBOOL(hAPP(v_ts_H,esk3_0)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,esk2_0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
hBOOL(hAPP(hAPP(c_member(X1),esk3_0),v_ts_H)),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW339+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n023.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 : 600
% 0.13/0.34 % DateTime : Sun Jun 5 04:18:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.92/2.11 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.92/2.11 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.92/2.11 # Preprocessing time : 0.239 s
% 0.92/2.11
% 0.92/2.11 # Proof found!
% 0.92/2.11 # SZS status Theorem
% 0.92/2.11 # SZS output start CNFRefutation
% See solution above
% 0.92/2.11 # Proof object total steps : 27
% 0.92/2.11 # Proof object clause steps : 17
% 0.92/2.11 # Proof object formula steps : 10
% 0.92/2.11 # Proof object conjectures : 12
% 0.92/2.11 # Proof object clause conjectures : 9
% 0.92/2.11 # Proof object formula conjectures : 3
% 0.92/2.11 # Proof object initial clauses used : 9
% 0.92/2.11 # Proof object initial formulas used : 5
% 0.92/2.11 # Proof object generating inferences : 8
% 0.92/2.11 # Proof object simplifying inferences : 3
% 0.92/2.11 # Training examples: 0 positive, 0 negative
% 0.92/2.11 # Parsed axioms : 5229
% 0.92/2.11 # Removed by relevancy pruning/SinE : 5128
% 0.92/2.11 # Initial clauses : 143
% 0.92/2.11 # Removed in clause preprocessing : 11
% 0.92/2.11 # Initial clauses in saturation : 132
% 0.92/2.11 # Processed clauses : 156
% 0.92/2.11 # ...of these trivial : 4
% 0.92/2.11 # ...subsumed : 32
% 0.92/2.11 # ...remaining for further processing : 120
% 0.92/2.11 # Other redundant clauses eliminated : 18
% 0.92/2.11 # Clauses deleted for lack of memory : 0
% 0.92/2.11 # Backward-subsumed : 0
% 0.92/2.11 # Backward-rewritten : 1
% 0.92/2.11 # Generated clauses : 332
% 0.92/2.11 # ...of the previous two non-trivial : 254
% 0.92/2.11 # Contextual simplify-reflections : 1
% 0.92/2.11 # Paramodulations : 305
% 0.92/2.11 # Factorizations : 4
% 0.92/2.11 # Equation resolutions : 24
% 0.92/2.11 # Current number of processed clauses : 102
% 0.92/2.11 # Positive orientable unit clauses : 25
% 0.92/2.11 # Positive unorientable unit clauses: 2
% 0.92/2.11 # Negative unit clauses : 12
% 0.92/2.11 # Non-unit-clauses : 63
% 0.92/2.11 # Current number of unprocessed clauses: 227
% 0.92/2.11 # ...number of literals in the above : 472
% 0.92/2.11 # Current number of archived formulas : 0
% 0.92/2.11 # Current number of archived clauses : 1
% 0.92/2.11 # Clause-clause subsumption calls (NU) : 863
% 0.92/2.11 # Rec. Clause-clause subsumption calls : 822
% 0.92/2.11 # Non-unit clause-clause subsumptions : 25
% 0.92/2.11 # Unit Clause-clause subsumption calls : 215
% 0.92/2.11 # Rewrite failures with RHS unbound : 0
% 0.92/2.11 # BW rewrite match attempts : 74
% 0.92/2.11 # BW rewrite match successes : 3
% 0.92/2.11 # Condensation attempts : 0
% 0.92/2.11 # Condensation successes : 0
% 0.92/2.11 # Termbank termtop insertions : 148165
% 0.92/2.11
% 0.92/2.11 # -------------------------------------------------
% 0.92/2.11 # User time : 0.241 s
% 0.92/2.11 # System time : 0.009 s
% 0.92/2.11 # Total time : 0.250 s
% 0.92/2.11 # Maximum resident set size: 13376 pages
% 0.95/24.10 eprover: CPU time limit exceeded, terminating
% 0.95/24.11 eprover: CPU time limit exceeded, terminating
% 0.95/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.12 eprover: No such file or directory
% 0.95/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.12 eprover: No such file or directory
% 0.95/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.13 eprover: No such file or directory
% 0.95/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.13 eprover: No such file or directory
% 0.95/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.13 eprover: No such file or directory
% 0.95/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.13 eprover: No such file or directory
% 0.95/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.14 eprover: No such file or directory
% 0.95/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.14 eprover: No such file or directory
% 0.95/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.14 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15 eprover: eprover: No such file or directory
% 0.95/24.15 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16 eprover: No such file or directory
% 0.95/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18 eprover: No such file or directory
% 0.95/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19 eprover: No such file or directory
% 0.95/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19 eprover: No such file or directory
%------------------------------------------------------------------------------