TSTP Solution File: NUN066+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN066+2 : 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 16:26:03 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 5 unt; 0 def)
% Number of atoms : 131 ( 56 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 141 ( 54 ~; 68 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 76 ( 5 sgn 29 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(nonzerononetwoexist,conjecture,
? [X39] :
( ! [X22] :
( ! [X23] :
( ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X23) )
| ~ r2(X23,X22) )
| X39 != X22 )
& ! [X17] :
( ~ r1(X17)
| X39 != X17 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nonzerononetwoexist) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_7a,axiom,
! [X41,X42] :
( ! [X43] :
( ~ r1(X43)
| X43 != X42 )
| ~ r2(X41,X42) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
fof(axiom_3a,axiom,
! [X26,X27] :
( ! [X28] :
( ! [X29] :
( ~ r2(X26,X29)
| X29 != X28 )
| ~ r2(X27,X28) )
| X26 = X27 ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_3a) ).
fof(c_0_5,negated_conjecture,
~ ? [X39] :
( ! [X22] :
( ! [X23] :
( ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X23) )
| ~ r2(X23,X22) )
| X39 != X22 )
& ! [X17] :
( ~ r1(X17)
| X39 != X17 ) ),
inference(assume_negation,[status(cth)],[nonzerononetwoexist]) ).
fof(c_0_6,plain,
! [X6,X8] :
( ( r2(X6,X8)
| ~ r2(X6,X8) )
& ( X8 = esk9_1(X6)
| ~ r2(X6,X8) )
& ( r2(X6,X8)
| X8 != esk9_1(X6) )
& ( X8 = esk9_1(X6)
| X8 != esk9_1(X6) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).
fof(c_0_7,negated_conjecture,
! [X40] :
( ( r1(esk4_1(X40))
| r1(esk3_1(X40)) )
& ( X40 = esk4_1(X40)
| r1(esk3_1(X40)) )
& ( r1(esk4_1(X40))
| r2(esk3_1(X40),esk2_1(X40)) )
& ( X40 = esk4_1(X40)
| r2(esk3_1(X40),esk2_1(X40)) )
& ( r1(esk4_1(X40))
| r2(esk2_1(X40),esk1_1(X40)) )
& ( X40 = esk4_1(X40)
| r2(esk2_1(X40),esk1_1(X40)) )
& ( r1(esk4_1(X40))
| X40 = esk1_1(X40) )
& ( X40 = esk4_1(X40)
| X40 = esk1_1(X40) ) ),
inference(distribute,[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)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])])]) ).
fof(c_0_8,plain,
! [X4] :
( ( r1(X4)
| ~ r1(X4) )
& ( X4 = esk5_0
| ~ r1(X4) )
& ( r1(X4)
| X4 != esk5_0 )
& ( X4 = esk5_0
| X4 != esk5_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
cnf(c_0_9,plain,
( X2 = esk9_1(X1)
| ~ r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( r2(esk3_1(X1),esk2_1(X1))
| r1(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( X1 = esk5_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( r1(esk3_1(X1))
| r1(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( r2(esk3_1(X1),esk2_1(X1))
| X1 = esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( r1(esk3_1(X1))
| X1 = esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
! [X44,X45,X46] :
( ~ r1(X46)
| X46 != X45
| ~ r2(X44,X45) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7a])])])])]) ).
fof(c_0_16,plain,
! [X30,X31,X32,X33] :
( ~ r2(X30,X33)
| X33 != X32
| ~ r2(X31,X32)
| X30 = X31 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_3a])])])])]) ).
cnf(c_0_17,negated_conjecture,
( r2(esk2_1(X1),esk1_1(X1))
| r1(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( X1 = esk1_1(X1)
| r1(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( esk9_1(esk3_1(X1)) = esk2_1(X1)
| r1(esk4_1(X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_20,negated_conjecture,
( esk3_1(X1) = esk5_0
| r1(esk4_1(X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( r2(esk2_1(X1),esk1_1(X1))
| X1 = esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( X1 = esk1_1(X1)
| X1 = esk4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( esk9_1(esk3_1(X1)) = esk2_1(X1)
| esk4_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( esk3_1(X1) = esk5_0
| esk4_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_25,plain,
( ~ r2(X1,X2)
| X3 != X2
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,plain,
( r2(X2,X1)
| X1 != esk9_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,plain,
( X1 = X2
| ~ r2(X2,X3)
| X4 != X3
| ~ r2(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( r2(esk2_1(X1),X1)
| r1(esk4_1(X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_29,negated_conjecture,
( esk9_1(esk5_0) = esk2_1(X1)
| r1(esk4_1(X1)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_30,negated_conjecture,
( esk4_1(X1) = X1
| r2(esk2_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( esk9_1(esk5_0) = esk2_1(X1)
| esk4_1(X1) = X1 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,plain,
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
r2(X1,esk9_1(X1)),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( X1 = X2
| ~ r2(X2,X3)
| ~ r2(X1,X3) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( r2(esk9_1(esk5_0),X1)
| r1(esk4_1(X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( esk4_1(X1) = X1
| r2(esk9_1(esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
~ r1(esk9_1(X1)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( r1(X1)
| X1 != esk5_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,plain,
( X1 = X2
| ~ r2(X1,esk9_1(X2)) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( r2(esk9_1(esk5_0),X1)
| r1(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
esk9_1(X1) != esk5_0,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
esk9_1(esk5_0) = X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_37]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN066+2 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n026.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 10:56:12 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 : 0.015 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 : 44
% 0.23/1.41 # Proof object clause steps : 33
% 0.23/1.41 # Proof object formula steps : 11
% 0.23/1.41 # Proof object conjectures : 24
% 0.23/1.41 # Proof object clause conjectures : 21
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 14
% 0.23/1.41 # Proof object initial formulas used : 5
% 0.23/1.41 # Proof object generating inferences : 17
% 0.23/1.41 # Proof object simplifying inferences : 4
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 12
% 0.23/1.41 # Removed by relevancy pruning/SinE : 6
% 0.23/1.41 # Initial clauses : 22
% 0.23/1.41 # Removed in clause preprocessing : 4
% 0.23/1.41 # Initial clauses in saturation : 18
% 0.23/1.41 # Processed clauses : 132
% 0.23/1.41 # ...of these trivial : 3
% 0.23/1.41 # ...subsumed : 51
% 0.23/1.41 # ...remaining for further processing : 78
% 0.23/1.41 # Other redundant clauses eliminated : 2
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 5
% 0.23/1.41 # Backward-rewritten : 8
% 0.23/1.41 # Generated clauses : 364
% 0.23/1.41 # ...of the previous two non-trivial : 271
% 0.23/1.41 # Contextual simplify-reflections : 9
% 0.23/1.41 # Paramodulations : 361
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 3
% 0.23/1.41 # Current number of processed clauses : 63
% 0.23/1.41 # Positive orientable unit clauses : 2
% 0.23/1.41 # Positive unorientable unit clauses: 1
% 0.23/1.41 # Negative unit clauses : 2
% 0.23/1.41 # Non-unit-clauses : 58
% 0.23/1.41 # Current number of unprocessed clauses: 98
% 0.23/1.41 # ...number of literals in the above : 260
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 13
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 464
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 421
% 0.23/1.41 # Non-unit clause-clause subsumptions : 57
% 0.23/1.41 # Unit Clause-clause subsumption calls : 7
% 0.23/1.41 # Rewrite failures with RHS unbound : 3
% 0.23/1.41 # BW rewrite match attempts : 22
% 0.23/1.41 # BW rewrite match successes : 22
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 3850
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.022 s
% 0.23/1.41 # System time : 0.002 s
% 0.23/1.41 # Total time : 0.024 s
% 0.23/1.41 # Maximum resident set size: 2852 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 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
% 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
% 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
% 0.23/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------