TSTP Solution File: NUN073+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUN073+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:09:26 EDT 2023
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 85 ( 30 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 107 ( 53 ~; 42 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 51 ( 2 sgn; 34 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3a,axiom,
! [X26,X27] :
( ! [X28] :
( ! [X29] :
( ~ r2(X26,X29)
| X29 != X28 )
| ~ r2(X27,X28) )
| X26 = X27 ),
file('/export/starexec/sandbox/tmp/tmp.Xo98yh44k9/E---3.1_20160.p',axiom_3a) ).
fof(oneuneqtwo,conjecture,
! [X39] :
( ! [X22] :
( ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X22) )
| X22 != X39 )
| ! [X23] :
( ! [X17] :
( ~ r1(X17)
| ~ r2(X17,X23) )
| ~ r2(X23,X39) ) ),
file('/export/starexec/sandbox/tmp/tmp.Xo98yh44k9/E---3.1_20160.p',oneuneqtwo) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.Xo98yh44k9/E---3.1_20160.p',axiom_1) ).
fof(axiom_7a,axiom,
! [X41,X42] :
( ! [X43] :
( ~ r1(X43)
| X43 != X42 )
| ~ r2(X41,X42) ),
file('/export/starexec/sandbox/tmp/tmp.Xo98yh44k9/E---3.1_20160.p',axiom_7a) ).
fof(c_0_4,plain,
! [X26,X27] :
( ! [X28] :
( ! [X29] :
( ~ r2(X26,X29)
| X29 != X28 )
| ~ r2(X27,X28) )
| X26 = X27 ),
inference(fof_simplification,[status(thm)],[axiom_3a]) ).
fof(c_0_5,negated_conjecture,
~ ! [X39] :
( ! [X22] :
( ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X22) )
| X22 != X39 )
| ! [X23] :
( ! [X17] :
( ~ r1(X17)
| ~ r2(X17,X23) )
| ~ r2(X23,X39) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[oneuneqtwo])]) ).
fof(c_0_6,plain,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_7,plain,
! [X41,X42] :
( ! [X43] :
( ~ r1(X43)
| X43 != X42 )
| ~ r2(X41,X42) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(c_0_8,plain,
! [X69,X70,X71,X72] :
( ~ r2(X69,X72)
| X72 != X71
| ~ r2(X70,X71)
| X69 = X70 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])]) ).
fof(c_0_9,negated_conjecture,
( r1(esk23_0)
& r2(esk23_0,esk22_0)
& esk22_0 = esk21_0
& r1(esk25_0)
& r2(esk25_0,esk24_0)
& r2(esk24_0,esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_10,plain,
! [X45] :
( ( r1(X45)
| ~ r1(X45) )
& ( X45 = esk1_0
| ~ r1(X45) )
& ( r1(X45)
| X45 != esk1_0 )
& ( X45 = esk1_0
| X45 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_6])])]) ).
fof(c_0_11,plain,
! [X84,X85,X86] :
( ~ r1(X86)
| X86 != X85
| ~ r2(X84,X85) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])]) ).
cnf(c_0_12,plain,
( X1 = X4
| ~ r2(X1,X2)
| X2 != X3
| ~ r2(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
r2(esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
esk22_0 = esk21_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
r1(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( ~ r1(X1)
| X1 != X2
| ~ r2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( X1 = X2
| ~ r2(X2,X3)
| ~ r2(X1,X3) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
r2(esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,negated_conjecture,
r2(esk23_0,esk21_0),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
esk23_0 = esk1_0,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
r2(esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
( X1 = esk24_0
| ~ r2(X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
r2(esk1_0,esk21_0),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( r1(X1)
| X1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
~ r1(esk24_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
esk24_0 = esk1_0,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
r1(esk1_0),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN073+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 21:17:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Xo98yh44k9/E---3.1_20160.p
% 0.19/0.49 # Version: 3.1pre001
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20237 completed with status 0
% 0.19/0.49 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # No SInE strategy applied
% 0.19/0.49 # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.19/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.49 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.19/0.49 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.19/0.49 # G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with pid 20245 completed with status 0
% 0.19/0.49 # Result found by G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # No SInE strategy applied
% 0.19/0.49 # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.19/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.49 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.19/0.49 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.19/0.49 # Preprocessing time : 0.001 s
% 0.19/0.49 # Presaturation interreduction done
% 0.19/0.49
% 0.19/0.49 # Proof found!
% 0.19/0.49 # SZS status Theorem
% 0.19/0.49 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 12
% 0.19/0.49 # Removed by relevancy pruning/SinE : 0
% 0.19/0.49 # Initial clauses : 45
% 0.19/0.49 # Removed in clause preprocessing : 12
% 0.19/0.49 # Initial clauses in saturation : 33
% 0.19/0.49 # Processed clauses : 82
% 0.19/0.49 # ...of these trivial : 0
% 0.19/0.49 # ...subsumed : 4
% 0.19/0.49 # ...remaining for further processing : 78
% 0.19/0.49 # Other redundant clauses eliminated : 6
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 0
% 0.19/0.49 # Backward-rewritten : 12
% 0.19/0.49 # Generated clauses : 36
% 0.19/0.49 # ...of the previous two non-redundant : 40
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 0
% 0.19/0.49 # Paramodulations : 30
% 0.19/0.49 # Factorizations : 0
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 6
% 0.19/0.49 # Total rewrite steps : 20
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 27
% 0.19/0.49 # Positive orientable unit clauses : 14
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 4
% 0.19/0.49 # Non-unit-clauses : 9
% 0.19/0.49 # Current number of unprocessed clauses: 21
% 0.19/0.49 # ...number of literals in the above : 29
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 49
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 19
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 13
% 0.19/0.49 # Non-unit clause-clause subsumptions : 0
% 0.19/0.49 # Unit Clause-clause subsumption calls : 21
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 18
% 0.19/0.49 # BW rewrite match successes : 6
% 0.19/0.49 # Condensation attempts : 0
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 1632
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.005 s
% 0.19/0.49 # System time : 0.004 s
% 0.19/0.49 # Total time : 0.008 s
% 0.19/0.49 # Maximum resident set size: 1824 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.016 s
% 0.19/0.49 # System time : 0.010 s
% 0.19/0.49 # Total time : 0.026 s
% 0.19/0.49 # Maximum resident set size: 1720 pages
% 0.19/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------