TSTP Solution File: NUN080+2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUN080+2 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 300s
% DateTime : Tue May 21 02:15:35 EDT 2024
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 80 ( 24 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 97 ( 39 ~; 28 |; 30 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 62 ( 7 sgn 19 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(xplustwoeqy,conjecture,
? [X39,X22,X23] :
( X23 = X22
& ? [X16] :
( r3(X39,X16,X23)
& ? [X17] :
( r2(X17,X16)
& ? [X25] :
( r1(X25)
& r2(X25,X17) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplustwoeqy) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(axiom_1a,axiom,
! [X14,X15] :
? [X16] :
( ? [X17] :
( ? [X18] :
( r2(X15,X18)
& r3(X14,X18,X17) )
& X17 = X16 )
& ? [X19] :
( r2(X19,X16)
& r3(X14,X15,X19) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(c_0_4,negated_conjecture,
~ ? [X39,X22,X23] :
( X23 = X22
& ? [X16] :
( r3(X39,X16,X23)
& ? [X17] :
( r2(X17,X16)
& ? [X25] :
( r1(X25)
& r2(X25,X17) ) ) ) ),
inference(assume_negation,[status(cth)],[xplustwoeqy]) ).
fof(c_0_5,negated_conjecture,
! [X44,X45,X46,X47,X48,X49] :
( X46 != X45
| ~ r3(X44,X47,X46)
| ~ r2(X48,X47)
| ~ r1(X49)
| ~ r2(X49,X48) ),
inference(fof_nnf,[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,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
cnf(c_0_7,negated_conjecture,
( X1 != X2
| ~ r3(X3,X4,X1)
| ~ r2(X5,X4)
| ~ r1(X6)
| ~ r2(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X53,X54] :
( r2(X54,esk4_2(X53,X54))
& r3(X53,esk4_2(X53,X54),esk3_2(X53,X54))
& esk3_2(X53,X54) = esk2_2(X53,X54)
& r2(esk5_2(X53,X54),esk2_2(X53,X54))
& r3(X53,X54,esk5_2(X53,X54)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(c_0_9,plain,
! [X50,X52] :
( ( r2(X50,X52)
| ~ r2(X50,X52) )
& ( X52 = esk1_1(X50)
| ~ r2(X50,X52) )
& ( r2(X50,X52)
| X52 != esk1_1(X50) )
& ( X52 = esk1_1(X50)
| X52 != esk1_1(X50) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_6])])])]) ).
fof(c_0_10,plain,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_11,negated_conjecture,
( ~ r3(X1,X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X2)
| ~ r1(X4) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
r3(X1,X2,esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( r2(X1,X2)
| X2 != esk1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X71] :
( ( r1(X71)
| ~ r1(X71) )
& ( X71 = esk9_0
| ~ r1(X71) )
& ( r1(X71)
| X71 != esk9_0 )
& ( X71 = esk9_0
| X71 != esk9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_10])])])]) ).
cnf(c_0_15,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
r2(X1,esk1_1(X1)),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( r1(X1)
| X1 != esk9_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ r2(esk1_1(X1),X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
r1(esk9_0),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : NUN080+2 : TPTP v8.2.0. Released v7.3.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat May 18 14:51:22 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 # Version: 3.1.0
% 0.17/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # new_bool_3 with pid 20511 completed with status 0
% 0.17/0.45 # Result found by new_bool_3
% 0.17/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: FGHSM-FFSF21-SFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.45 # SAT001_MinMin_p005000_rr_RG with pid 20515 completed with status 0
% 0.17/0.45 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: FGHSM-FFSF21-SFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45 # Presaturation interreduction done
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Theorem
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 12
% 0.17/0.45 # Removed by relevancy pruning/SinE : 3
% 0.17/0.45 # Initial clauses : 27
% 0.17/0.45 # Removed in clause preprocessing : 6
% 0.17/0.45 # Initial clauses in saturation : 21
% 0.17/0.45 # Processed clauses : 56
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 1
% 0.17/0.45 # ...remaining for further processing : 55
% 0.17/0.45 # Other redundant clauses eliminated : 6
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 8
% 0.17/0.45 # Backward-rewritten : 4
% 0.17/0.45 # Generated clauses : 27
% 0.17/0.45 # ...of the previous two non-redundant : 27
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 19
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 6
% 0.17/0.45 # Disequality decompositions : 0
% 0.17/0.45 # Total rewrite steps : 9
% 0.17/0.45 # ...of those cached : 1
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 14
% 0.17/0.45 # Positive orientable unit clauses : 8
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 1
% 0.17/0.45 # Non-unit-clauses : 5
% 0.17/0.45 # Current number of unprocessed clauses: 12
% 0.17/0.45 # ...number of literals in the above : 26
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 35
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 124
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 73
% 0.17/0.45 # Non-unit clause-clause subsumptions : 1
% 0.17/0.45 # Unit Clause-clause subsumption calls : 12
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 8
% 0.17/0.45 # BW rewrite match successes : 4
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 1440
% 0.17/0.45 # Search garbage collected termcells : 295
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.003 s
% 0.17/0.45 # System time : 0.004 s
% 0.17/0.45 # Total time : 0.006 s
% 0.17/0.45 # Maximum resident set size: 1740 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.003 s
% 0.17/0.45 # System time : 0.007 s
% 0.17/0.45 # Total time : 0.009 s
% 0.17/0.45 # Maximum resident set size: 1740 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.45 % E exiting
%------------------------------------------------------------------------------