TSTP Solution File: SET814+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET814+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 600s
% DateTime : Tue Jul 19 00:54:32 EDT 2022
% Result : Theorem 0.20s 1.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 3 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 88 ( 34 ~; 35 |; 12 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 5 sgn 22 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(ordinal_number,axiom,
! [X1] :
( member(X1,on)
<=> ( set(X1)
& strict_well_order(member_predicate,X1)
& ! [X3] :
( member(X3,X1)
=> subset(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+4.ax',ordinal_number) ).
fof(thV14,conjecture,
! [X1] :
( member(X1,on)
=> subset(sum(X1),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thV14) ).
fof(sum,axiom,
! [X3,X1] :
( member(X3,sum(X1))
<=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',sum) ).
fof(c_0_4,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk2_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk2_2(X4,X5),X5)
| subset(X4,X5) ) ),
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)],[subset])])])])])])]) ).
fof(c_0_5,plain,
! [X4,X5,X4] :
( ( set(X4)
| ~ member(X4,on) )
& ( strict_well_order(member_predicate,X4)
| ~ member(X4,on) )
& ( ~ member(X5,X4)
| subset(X5,X4)
| ~ member(X4,on) )
& ( member(esk4_1(X4),X4)
| ~ set(X4)
| ~ strict_well_order(member_predicate,X4)
| member(X4,on) )
& ( ~ subset(esk4_1(X4),X4)
| ~ set(X4)
| ~ strict_well_order(member_predicate,X4)
| member(X4,on) ) ),
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)],[ordinal_number])])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( member(X1,on)
=> subset(sum(X1),X1) ),
inference(assume_negation,[status(cth)],[thV14]) ).
cnf(c_0_7,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( subset(X2,X1)
| ~ member(X1,on)
| ~ member(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
( member(esk1_0,on)
& ~ subset(sum(esk1_0),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_10,plain,
( member(X1,X2)
| ~ member(X2,on)
| ~ member(X1,X3)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
member(esk1_0,on),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X6,X7,X6,X7,X9] :
( ( member(esk3_2(X6,X7),X7)
| ~ member(X6,sum(X7)) )
& ( member(X6,esk3_2(X6,X7))
| ~ member(X6,sum(X7)) )
& ( ~ member(X9,X7)
| ~ member(X6,X9)
| member(X6,sum(X7)) ) ),
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)],[sum])])])])])])]) ).
cnf(c_0_13,negated_conjecture,
( member(X1,esk1_0)
| ~ member(X2,esk1_0)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( member(esk3_2(X1,X2),X2)
| ~ member(X1,sum(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( member(X1,esk1_0)
| ~ member(X1,esk3_2(X2,esk1_0))
| ~ member(X2,sum(esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( member(X1,esk3_2(X1,X2))
| ~ member(X1,sum(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( member(X1,esk1_0)
| ~ member(X1,sum(esk1_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( member(esk2_2(sum(esk1_0),X1),esk1_0)
| subset(sum(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
~ subset(sum(esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET814+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 10 14:25:05 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.20/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.20/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.20/1.40 # Preprocessing time : 0.019 s
% 0.20/1.40
% 0.20/1.40 # Proof found!
% 0.20/1.40 # SZS status Theorem
% 0.20/1.40 # SZS output start CNFRefutation
% See solution above
% 0.20/1.40 # Proof object total steps : 23
% 0.20/1.40 # Proof object clause steps : 14
% 0.20/1.40 # Proof object formula steps : 9
% 0.20/1.40 # Proof object conjectures : 10
% 0.20/1.40 # Proof object clause conjectures : 7
% 0.20/1.40 # Proof object formula conjectures : 3
% 0.20/1.40 # Proof object initial clauses used : 8
% 0.20/1.40 # Proof object initial formulas used : 4
% 0.20/1.40 # Proof object generating inferences : 6
% 0.20/1.40 # Proof object simplifying inferences : 1
% 0.20/1.40 # Training examples: 0 positive, 0 negative
% 0.20/1.40 # Parsed axioms : 21
% 0.20/1.40 # Removed by relevancy pruning/SinE : 11
% 0.20/1.40 # Initial clauses : 53
% 0.20/1.40 # Removed in clause preprocessing : 0
% 0.20/1.40 # Initial clauses in saturation : 53
% 0.20/1.40 # Processed clauses : 138
% 0.20/1.40 # ...of these trivial : 0
% 0.20/1.40 # ...subsumed : 21
% 0.20/1.40 # ...remaining for further processing : 117
% 0.20/1.40 # Other redundant clauses eliminated : 0
% 0.20/1.40 # Clauses deleted for lack of memory : 0
% 0.20/1.40 # Backward-subsumed : 1
% 0.20/1.40 # Backward-rewritten : 0
% 0.20/1.40 # Generated clauses : 576
% 0.20/1.40 # ...of the previous two non-trivial : 560
% 0.20/1.40 # Contextual simplify-reflections : 16
% 0.20/1.40 # Paramodulations : 576
% 0.20/1.40 # Factorizations : 0
% 0.20/1.40 # Equation resolutions : 0
% 0.20/1.40 # Current number of processed clauses : 116
% 0.20/1.40 # Positive orientable unit clauses : 3
% 0.20/1.40 # Positive unorientable unit clauses: 0
% 0.20/1.40 # Negative unit clauses : 2
% 0.20/1.40 # Non-unit-clauses : 111
% 0.20/1.40 # Current number of unprocessed clauses: 475
% 0.20/1.40 # ...number of literals in the above : 2127
% 0.20/1.40 # Current number of archived formulas : 0
% 0.20/1.40 # Current number of archived clauses : 1
% 0.20/1.40 # Clause-clause subsumption calls (NU) : 1480
% 0.20/1.40 # Rec. Clause-clause subsumption calls : 1127
% 0.20/1.40 # Non-unit clause-clause subsumptions : 38
% 0.20/1.40 # Unit Clause-clause subsumption calls : 10
% 0.20/1.40 # Rewrite failures with RHS unbound : 0
% 0.20/1.40 # BW rewrite match attempts : 6
% 0.20/1.40 # BW rewrite match successes : 0
% 0.20/1.40 # Condensation attempts : 0
% 0.20/1.40 # Condensation successes : 0
% 0.20/1.40 # Termbank termtop insertions : 12579
% 0.20/1.40
% 0.20/1.40 # -------------------------------------------------
% 0.20/1.40 # User time : 0.033 s
% 0.20/1.40 # System time : 0.002 s
% 0.20/1.40 # Total time : 0.035 s
% 0.20/1.40 # Maximum resident set size: 3616 pages
% 0.20/23.40 eprover: CPU time limit exceeded, terminating
% 0.20/23.41 eprover: CPU time limit exceeded, terminating
% 0.20/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.42 eprover: No such file or directory
% 0.20/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.42 eprover: No such file or directory
% 0.20/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.42 eprover: No such file or directory
% 0.20/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.42 eprover: No such file or directory
% 0.20/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.43 eprover: No such file or directory
% 0.20/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.43 eprover: No such file or directory
% 0.20/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.43 eprover: No such file or directory
% 0.20/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.43 eprover: No such file or directory
% 0.20/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.44 eprover: No such file or directory
% 0.20/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.44 eprover: No such file or directory
% 0.20/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.44 eprover: No such file or directory
% 0.20/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.44 eprover: No such file or directory
% 0.20/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.44 eprover: No such file or directory
% 0.20/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.45 eprover: No such file or directory
% 0.20/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.45 eprover: No such file or directory
% 0.20/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.45 eprover: No such file or directory
% 0.20/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.45 eprover: No such file or directory
% 0.20/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.46 eprover: No such file or directory
% 0.20/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.46 eprover: No such file or directory
% 0.20/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.46 eprover: No such file or directory
% 0.20/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.46 eprover: No such file or directory
% 0.20/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.46 eprover: No such file or directory
%------------------------------------------------------------------------------