TSTP Solution File: NUN081+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUN081+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 85 ( 37 ~; 27 |; 21 &)
% ( 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 : 65 ( 8 sgn 17 !; 18 ?)
% 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/benchmark/theBenchmark.p',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_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_4,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_5,negated_conjecture,
! [X68,X69,X70,X71,X72,X73,X74] :
( ~ r3(X68,X69,X70)
| ~ id(X70,X71)
| ~ r2(X72,X71)
| ~ r2(X73,X72)
| ~ r1(X74)
| ~ r2(X74,X73) ),
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,
! [X109] :
( id(esk14_1(X109),X109)
& r1(esk15_1(X109))
& r3(X109,esk15_1(X109),esk14_1(X109)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(c_0_7,plain,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
cnf(c_0_8,negated_conjecture,
( ~ r3(X1,X2,X3)
| ~ id(X3,X4)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
r3(X1,esk15_1(X1),esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X75,X77] :
( ( ~ r2(X75,X77)
| id(X77,esk1_1(X75)) )
& ( ~ id(X77,esk1_1(X75))
| id(X77,esk1_1(X75)) )
& ( ~ r2(X75,X77)
| r2(X75,X77) )
& ( ~ id(X77,esk1_1(X75))
| r2(X75,X77) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_7])])])]) ).
fof(c_0_11,plain,
! [X124] : id(X124,X124),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_12,negated_conjecture,
( ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ r1(X1)
| ~ id(esk14_1(X5),X4) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
id(esk14_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( r2(X2,X1)
| ~ id(X1,esk1_1(X2)) ),
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(X2,X3)
| ~ r2(X3,X4)
| ~ r1(X1) ),
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(esk1_1(X1),X2)
| ~ r2(X2,X3)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
( ~ r2(esk1_1(esk1_1(X1)),X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_20,plain,
r2(X1,esk14_1(esk1_1(X1))),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_21,plain,
r1(esk15_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
$false,
inference(sr,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUN081+1 : TPTP v8.2.0. Released v7.3.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sat May 18 14:52:52 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 # Version: 3.1.0
% 0.14/0.39 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.39 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.39 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.39 # Starting sh5l with 300s (1) cores
% 0.14/0.39 # sh5l with pid 18254 completed with status 0
% 0.14/0.39 # Result found by sh5l
% 0.14/0.39 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.39 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.39 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.39 # Starting sh5l with 300s (1) cores
% 0.14/0.39 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.39 # Search class: FGHNM-FFMF21-SFFFFFNN
% 0.14/0.39 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.39 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 139s (1) cores
% 0.14/0.39 # H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with pid 18256 completed with status 0
% 0.14/0.39 # Result found by H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 0.14/0.39 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.39 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.39 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.39 # Starting sh5l with 300s (1) cores
% 0.14/0.39 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.39 # Search class: FGHNM-FFMF21-SFFFFFNN
% 0.14/0.39 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.39 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 139s (1) cores
% 0.14/0.39 # Preprocessing time : 0.001 s
% 0.14/0.39
% 0.14/0.39 # Proof found!
% 0.14/0.39 # SZS status Theorem
% 0.14/0.39 # SZS output start CNFRefutation
% See solution above
% 0.14/0.39 # Parsed axioms : 19
% 0.14/0.39 # Removed by relevancy pruning/SinE : 0
% 0.14/0.39 # Initial clauses : 59
% 0.14/0.39 # Removed in clause preprocessing : 16
% 0.14/0.39 # Initial clauses in saturation : 43
% 0.14/0.39 # Processed clauses : 85
% 0.14/0.39 # ...of these trivial : 0
% 0.14/0.39 # ...subsumed : 2
% 0.14/0.39 # ...remaining for further processing : 83
% 0.14/0.39 # Other redundant clauses eliminated : 0
% 0.14/0.39 # Clauses deleted for lack of memory : 0
% 0.14/0.39 # Backward-subsumed : 26
% 0.14/0.39 # Backward-rewritten : 0
% 0.14/0.39 # Generated clauses : 227
% 0.14/0.39 # ...of the previous two non-redundant : 194
% 0.14/0.39 # ...aggressively subsumed : 0
% 0.14/0.39 # Contextual simplify-reflections : 0
% 0.14/0.39 # Paramodulations : 219
% 0.14/0.39 # Factorizations : 0
% 0.14/0.39 # NegExts : 0
% 0.14/0.39 # Equation resolutions : 0
% 0.14/0.39 # Disequality decompositions : 0
% 0.14/0.39 # Total rewrite steps : 29
% 0.14/0.39 # ...of those cached : 16
% 0.14/0.39 # Propositional unsat checks : 0
% 0.14/0.39 # Propositional check models : 0
% 0.14/0.39 # Propositional check unsatisfiable : 0
% 0.14/0.39 # Propositional clauses : 0
% 0.14/0.39 # Propositional clauses after purity: 0
% 0.14/0.39 # Propositional unsat core size : 0
% 0.14/0.39 # Propositional preprocessing time : 0.000
% 0.14/0.39 # Propositional encoding time : 0.000
% 0.14/0.39 # Propositional solver time : 0.000
% 0.14/0.39 # Success case prop preproc time : 0.000
% 0.14/0.39 # Success case prop encoding time : 0.000
% 0.14/0.39 # Success case prop solver time : 0.000
% 0.14/0.39 # Current number of processed clauses : 49
% 0.14/0.39 # Positive orientable unit clauses : 21
% 0.14/0.39 # Positive unorientable unit clauses: 0
% 0.14/0.39 # Negative unit clauses : 1
% 0.14/0.39 # Non-unit-clauses : 27
% 0.14/0.39 # Current number of unprocessed clauses: 150
% 0.14/0.39 # ...number of literals in the above : 350
% 0.14/0.39 # Current number of archived formulas : 0
% 0.14/0.39 # Current number of archived clauses : 34
% 0.14/0.39 # Clause-clause subsumption calls (NU) : 225
% 0.14/0.39 # Rec. Clause-clause subsumption calls : 125
% 0.14/0.39 # Non-unit clause-clause subsumptions : 2
% 0.14/0.39 # Unit Clause-clause subsumption calls : 119
% 0.14/0.39 # Rewrite failures with RHS unbound : 0
% 0.14/0.39 # BW rewrite match attempts : 5
% 0.14/0.39 # BW rewrite match successes : 0
% 0.14/0.39 # Condensation attempts : 0
% 0.14/0.39 # Condensation successes : 0
% 0.14/0.39 # Termbank termtop insertions : 4839
% 0.14/0.39 # Search garbage collected termcells : 428
% 0.14/0.39
% 0.14/0.39 # -------------------------------------------------
% 0.14/0.39 # User time : 0.003 s
% 0.14/0.39 # System time : 0.005 s
% 0.14/0.39 # Total time : 0.008 s
% 0.14/0.39 # Maximum resident set size: 1892 pages
% 0.14/0.39
% 0.14/0.39 # -------------------------------------------------
% 0.14/0.39 # User time : 0.004 s
% 0.14/0.39 # System time : 0.006 s
% 0.14/0.39 # Total time : 0.010 s
% 0.14/0.39 # Maximum resident set size: 1772 pages
% 0.14/0.39 % E---3.1 exiting
% 0.14/0.40 % E exiting
%------------------------------------------------------------------------------