TSTP Solution File: NUN081+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN081+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 103 ( 47 ~; 37 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 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 : 78 ( 9 sgn 21 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xplusyidthree,conjecture,
? [X63,X46,X47] :
( r3(X63,X46,X47)
& ? [X40] :
( id(X47,X40)
& ? [X41] :
( r2(X41,X40)
& ? [X49] :
( r2(X49,X41)
& ? [X43] :
( r1(X43)
& r2(X43,X49) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',xplusyidthree) ).
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_7,axiom,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
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(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(c_0_5,negated_conjecture,
~ ? [X63,X46,X47] :
( r3(X63,X46,X47)
& ? [X40] :
( id(X47,X40)
& ? [X41] :
( r2(X41,X40)
& ? [X49] :
( r2(X49,X41)
& ? [X43] :
( r1(X43)
& r2(X43,X49) ) ) ) ) ),
inference(assume_negation,[status(cth)],[xplusyidthree]) ).
fof(c_0_6,negated_conjecture,
! [X64,X65,X66,X67,X68,X69,X70] :
( ~ r3(X64,X65,X66)
| ~ id(X66,X67)
| ~ r2(X68,X67)
| ~ r2(X69,X68)
| ~ r1(X70)
| ~ r2(X70,X69) ),
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,
! [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])])])]) ).
fof(c_0_8,plain,
! [X20,X21,X22] :
( ~ id(X20,X21)
| id(X20,X22)
| ~ id(X21,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7])]) ).
cnf(c_0_9,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X1)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ id(X5,X4)
| ~ r3(X6,X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
r3(X1,esk11_1(X1),esk10_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( id(X3,X2)
| ~ id(X1,X2)
| ~ id(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
id(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,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_14,plain,
! [X15] : id(X15,X15),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_15,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X1)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ id(esk10_1(X5),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,plain,
( id(esk10_1(X1),X2)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( r2(X1,X2)
| ~ id(X2,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X1)
| ~ r2(X4,X3)
| ~ r1(X4)
| ~ id(X5,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
r2(X1,esk1_1(X1)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X1)
| ~ r1(X3)
| ~ id(X4,esk1_1(X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X3,X1)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_23,plain,
r2(X1,esk10_1(esk1_1(X1))),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_24,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,plain,
r1(esk11_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[c_0_25,c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN081+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 03:46:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.016 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 28
% 0.23/1.41 # Proof object clause steps : 17
% 0.23/1.41 # Proof object formula steps : 11
% 0.23/1.41 # Proof object conjectures : 10
% 0.23/1.41 # Proof object clause conjectures : 7
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 7
% 0.23/1.41 # Proof object initial formulas used : 5
% 0.23/1.41 # Proof object generating inferences : 9
% 0.23/1.41 # Proof object simplifying inferences : 1
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 19
% 0.23/1.41 # Removed by relevancy pruning/SinE : 4
% 0.23/1.41 # Initial clauses : 42
% 0.23/1.41 # Removed in clause preprocessing : 12
% 0.23/1.41 # Initial clauses in saturation : 30
% 0.23/1.41 # Processed clauses : 114
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 18
% 0.23/1.41 # ...remaining for further processing : 96
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 7
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 408
% 0.23/1.41 # ...of the previous two non-trivial : 344
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 401
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 82
% 0.23/1.41 # Positive orientable unit clauses : 24
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 6
% 0.23/1.41 # Non-unit-clauses : 52
% 0.23/1.41 # Current number of unprocessed clauses: 205
% 0.23/1.41 # ...number of literals in the above : 523
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 14
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 779
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 500
% 0.23/1.41 # Non-unit clause-clause subsumptions : 21
% 0.23/1.41 # Unit Clause-clause subsumption calls : 344
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 16
% 0.23/1.41 # BW rewrite match successes : 0
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 6077
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.021 s
% 0.23/1.41 # System time : 0.005 s
% 0.23/1.41 # Total time : 0.026 s
% 0.23/1.41 # Maximum resident set size: 3292 pages
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 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
% 0.23/23.47 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
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------