TSTP Solution File: NUN080+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN080+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 16:26:06 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 79 ( 31 ~; 23 |; 25 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 0 con; 1-2 aty)
% Number of variables : 66 ( 8 sgn 20 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xplustwoidy,conjecture,
? [X63,X46,X47] :
( id(X47,X46)
& ? [X40] :
( r3(X63,X40,X47)
& ? [X41] :
( r2(X41,X40)
& ? [X49] :
( r1(X49)
& r2(X49,X41) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',xplustwoidy) ).
fof(axiom_1a,axiom,
! [X38,X39] :
? [X40] :
( ? [X41] :
( id(X41,X40)
& ? [X42] :
( r2(X39,X42)
& r3(X38,X42,X41) ) )
& ? [X43] :
( r2(X43,X40)
& r3(X38,X39,X43) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(c_0_5,negated_conjecture,
~ ? [X63,X46,X47] :
( id(X47,X46)
& ? [X40] :
( r3(X63,X40,X47)
& ? [X41] :
( r2(X41,X40)
& ? [X49] :
( r1(X49)
& r2(X49,X41) ) ) ) ),
inference(assume_negation,[status(cth)],[xplustwoidy]) ).
fof(c_0_6,negated_conjecture,
! [X64,X65,X66,X67,X68,X69] :
( ~ id(X66,X65)
| ~ r3(X64,X67,X66)
| ~ r2(X68,X67)
| ~ 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_5])])])])]) ).
fof(c_0_7,plain,
! [X44,X45] :
( id(esk3_2(X44,X45),esk2_2(X44,X45))
& r2(X45,esk4_2(X44,X45))
& r3(X44,esk4_2(X44,X45),esk3_2(X44,X45))
& r2(esk5_2(X44,X45),esk2_2(X44,X45))
& r3(X44,X45,esk5_2(X44,X45)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_1a])])])]) ).
fof(c_0_8,plain,
! [X17,X18] :
( ~ id(X17,X18)
| id(X18,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_6])]) ).
fof(c_0_9,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_10,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X2,X3)
| ~ r3(X4,X3,X5)
| ~ id(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
r3(X1,X2,esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
id(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,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])])])]) ).
cnf(c_0_15,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ id(esk5_2(X4,X2),X5) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
id(X1,esk10_1(X1)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( r2(X1,X2)
| ~ id(X2,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X1)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
r2(X1,esk10_1(esk1_1(X1))),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
r1(esk11_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_23,plain,
$false,
inference(sr,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN080+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Thu Jun 2 06:03:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.017 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 24
% 0.23/1.42 # Proof object clause steps : 13
% 0.23/1.42 # Proof object formula steps : 11
% 0.23/1.42 # Proof object conjectures : 8
% 0.23/1.42 # Proof object clause conjectures : 5
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 6
% 0.23/1.42 # Proof object initial formulas used : 5
% 0.23/1.42 # Proof object generating inferences : 6
% 0.23/1.42 # Proof object simplifying inferences : 1
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 19
% 0.23/1.42 # Removed by relevancy pruning/SinE : 4
% 0.23/1.42 # Initial clauses : 42
% 0.23/1.42 # Removed in clause preprocessing : 12
% 0.23/1.42 # Initial clauses in saturation : 30
% 0.23/1.42 # Processed clauses : 113
% 0.23/1.42 # ...of these trivial : 0
% 0.23/1.42 # ...subsumed : 18
% 0.23/1.42 # ...remaining for further processing : 95
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 6
% 0.23/1.42 # Backward-rewritten : 0
% 0.23/1.42 # Generated clauses : 385
% 0.23/1.42 # ...of the previous two non-trivial : 324
% 0.23/1.42 # Contextual simplify-reflections : 0
% 0.23/1.42 # Paramodulations : 378
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 82
% 0.23/1.42 # Positive orientable unit clauses : 23
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 6
% 0.23/1.42 # Non-unit-clauses : 53
% 0.23/1.42 # Current number of unprocessed clauses: 202
% 0.23/1.42 # ...number of literals in the above : 515
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 13
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 731
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 488
% 0.23/1.42 # Non-unit clause-clause subsumptions : 20
% 0.23/1.42 # Unit Clause-clause subsumption calls : 336
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 16
% 0.23/1.42 # BW rewrite match successes : 0
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 5768
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.025 s
% 0.23/1.42 # System time : 0.001 s
% 0.23/1.42 # Total time : 0.026 s
% 0.23/1.42 # Maximum resident set size: 3288 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------