TSTP Solution File: NUN070+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN070+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 : Mon Jul 18 16:26:03 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 83 ( 35 ~; 27 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-1 aty)
% Number of variables : 52 ( 2 sgn 14 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(onepluszeroidone,conjecture,
? [X63] :
( ? [X46] :
( ? [X40] :
( r1(X40)
& r3(X46,X40,X63) )
& ? [X41] :
( r1(X41)
& r2(X41,X46) ) )
& ? [X47] :
( id(X63,X47)
& ? [X49] :
( r1(X49)
& r2(X49,X47) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',onepluszeroidone) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(c_0_4,negated_conjecture,
~ ? [X63] :
( ? [X46] :
( ? [X40] :
( r1(X40)
& r3(X46,X40,X63) )
& ? [X41] :
( r1(X41)
& r2(X41,X46) ) )
& ? [X47] :
( id(X63,X47)
& ? [X49] :
( r1(X49)
& r2(X49,X47) ) ) ),
inference(assume_negation,[status(cth)],[onepluszeroidone]) ).
fof(c_0_5,negated_conjecture,
! [X64,X65,X66,X67,X68,X69] :
( ~ r1(X66)
| ~ r3(X65,X66,X64)
| ~ r1(X67)
| ~ r2(X67,X65)
| ~ id(X64,X68)
| ~ r1(X69)
| ~ r2(X69,X68) ),
inference(shift_quantors,[status(thm)],[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_6,plain,
! [X57] :
( id(esk10_1(X57),X57)
& r1(esk11_1(X57))
& r3(X57,esk11_1(X57),esk10_1(X57)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_4a])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X1)
| ~ id(X3,X2)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r3(X5,X6,X3)
| ~ r1(X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
r3(X1,esk11_1(X1),esk10_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
r1(esk11_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X6,X8] :
( ( ~ r2(X6,X8)
| id(X8,esk1_1(X6)) )
& ( ~ id(X8,esk1_1(X6))
| id(X8,esk1_1(X6)) )
& ( ~ r2(X6,X8)
| r2(X6,X8) )
& ( ~ id(X8,esk1_1(X6))
| r2(X6,X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).
fof(c_0_11,plain,
! [X15] : id(X15,X15),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_12,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X4)
| ~ r1(X1)
| ~ r1(X3)
| ~ id(esk10_1(X2),X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_13,plain,
id(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( r2(X1,X2)
| ~ id(X2,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X2)
| ~ r1(X1)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
r2(X1,esk1_1(X1)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( ~ r2(X1,esk1_1(X2))
| ~ r1(X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN070+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 09:10:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.43 # Preprocessing time : 0.016 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 21
% 0.24/1.43 # Proof object clause steps : 12
% 0.24/1.43 # Proof object formula steps : 9
% 0.24/1.43 # Proof object conjectures : 8
% 0.24/1.43 # Proof object clause conjectures : 5
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 6
% 0.24/1.43 # Proof object initial formulas used : 4
% 0.24/1.43 # Proof object generating inferences : 5
% 0.24/1.43 # Proof object simplifying inferences : 3
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 19
% 0.24/1.43 # Removed by relevancy pruning/SinE : 4
% 0.24/1.43 # Initial clauses : 42
% 0.24/1.43 # Removed in clause preprocessing : 12
% 0.24/1.43 # Initial clauses in saturation : 30
% 0.24/1.43 # Processed clauses : 131
% 0.24/1.43 # ...of these trivial : 1
% 0.24/1.43 # ...subsumed : 22
% 0.24/1.43 # ...remaining for further processing : 108
% 0.24/1.43 # Other redundant clauses eliminated : 0
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 2
% 0.24/1.43 # Backward-rewritten : 0
% 0.24/1.43 # Generated clauses : 489
% 0.24/1.43 # ...of the previous two non-trivial : 409
% 0.24/1.43 # Contextual simplify-reflections : 0
% 0.24/1.43 # Paramodulations : 481
% 0.24/1.43 # Factorizations : 0
% 0.24/1.43 # Equation resolutions : 0
% 0.24/1.43 # Current number of processed clauses : 98
% 0.24/1.43 # Positive orientable unit clauses : 27
% 0.24/1.43 # Positive unorientable unit clauses: 0
% 0.24/1.43 # Negative unit clauses : 5
% 0.24/1.43 # Non-unit-clauses : 66
% 0.24/1.43 # Current number of unprocessed clauses: 264
% 0.24/1.43 # ...number of literals in the above : 730
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 10
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 939
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 577
% 0.24/1.43 # Non-unit clause-clause subsumptions : 19
% 0.24/1.43 # Unit Clause-clause subsumption calls : 353
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 14
% 0.24/1.43 # BW rewrite match successes : 0
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 7068
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.025 s
% 0.24/1.43 # System time : 0.003 s
% 0.24/1.43 # Total time : 0.028 s
% 0.24/1.43 # Maximum resident set size: 3296 pages
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------