TSTP Solution File: NUN067+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : NUN067+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 02:15:52 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 135 ( 63 ~; 50 |; 22 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 70 ( 9 sgn 42 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,axiom,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(nonzerosexistid,conjecture,
? [X63] :
! [X46] :
( ~ id(X63,X46)
| ~ r1(X46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosexistid) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
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_7a,axiom,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(c_0_7,plain,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
fof(c_0_8,negated_conjecture,
~ ? [X63] :
! [X46] :
( ~ id(X63,X46)
| ~ r1(X46) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nonzerosexistid])]) ).
fof(c_0_9,plain,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_10,plain,
! [X72,X73] :
( ( r1(X72)
| ~ r1(X72)
| ~ id(X72,X73) )
& ( r1(X73)
| ~ r1(X72)
| ~ id(X72,X73) )
& ( r1(X72)
| ~ r1(X73)
| ~ id(X72,X73) )
& ( r1(X73)
| ~ r1(X73)
| ~ id(X72,X73) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,negated_conjecture,
! [X68] :
( id(X68,esk1_1(X68))
& r1(esk1_1(X68)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,plain,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
fof(c_0_13,plain,
! [X71] :
( ( ~ r1(X71)
| id(X71,esk2_0) )
& ( ~ id(X71,esk2_0)
| id(X71,esk2_0) )
& ( ~ r1(X71)
| r1(X71) )
& ( ~ id(X71,esk2_0)
| r1(X71) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_14,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
id(X1,esk1_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
r1(esk1_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X17,X18,X19] :
( ~ id(X17,X18)
| id(X17,X19)
| ~ id(X18,X19) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_18,plain,
! [X85,X86] :
( ~ id(X85,X86)
| id(X86,X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
cnf(c_0_19,plain,
( id(X1,esk2_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
r1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
fof(c_0_21,plain,
! [X3] :
? [X4] :
! [X5] :
( ( id(X5,X4)
& r2(X3,X5) )
| ( ~ r2(X3,X5)
& ~ id(X5,X4) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_22,plain,
! [X87,X88,X89] :
( ~ id(X87,X88)
| id(X87,X89)
| ~ id(X88,X89) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).
cnf(c_0_23,plain,
( id(X2,X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
id(X1,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
fof(c_0_25,plain,
! [X65,X66] :
( ! [X67] :
( ~ id(X67,X66)
| ~ r1(X67) )
| ~ r2(X65,X66) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(c_0_26,plain,
! [X112,X114] :
( ( ~ r2(X112,X114)
| id(X114,esk17_1(X112)) )
& ( ~ id(X114,esk17_1(X112))
| id(X114,esk17_1(X112)) )
& ( ~ r2(X112,X114)
| r2(X112,X114) )
& ( ~ id(X114,esk17_1(X112))
| r2(X112,X114) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])])])]) ).
cnf(c_0_27,plain,
( id(X1,X3)
| ~ id(X1,X2)
| ~ id(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
id(esk2_0,X1),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_29,plain,
! [X81,X82,X83] :
( ~ id(X83,X82)
| ~ r1(X83)
| ~ r2(X81,X82) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])])]) ).
cnf(c_0_30,plain,
( r2(X2,X1)
| ~ id(X1,esk17_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
id(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_24])]) ).
cnf(c_0_32,plain,
( ~ id(X1,X2)
| ~ r1(X1)
| ~ r2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
r2(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_34,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_20])]),c_0_33]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN067+1 : TPTP v8.2.0. Released v7.3.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 15:04:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 # Version: 3.1.0
% 0.22/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.50 # Starting sh5l with 300s (1) cores
% 0.22/0.50 # new_bool_3 with pid 29177 completed with status 0
% 0.22/0.50 # Result found by new_bool_3
% 0.22/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.50 # Search class: FGHNM-FFMF21-SFFFFFNN
% 0.22/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 155s (1) cores
% 0.22/0.50 # H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with pid 29183 completed with status 0
% 0.22/0.50 # Result found by H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 0.22/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.50 # Search class: FGHNM-FFMF21-SFFFFFNN
% 0.22/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50 # Starting H----_102_C18_F1_PI_AE_Q4_CS_SP_S1S with 155s (1) cores
% 0.22/0.50 # Preprocessing time : 0.001 s
% 0.22/0.50
% 0.22/0.50 # Proof found!
% 0.22/0.50 # SZS status Theorem
% 0.22/0.50 # SZS output start CNFRefutation
% See solution above
% 0.22/0.50 # Parsed axioms : 19
% 0.22/0.50 # Removed by relevancy pruning/SinE : 0
% 0.22/0.50 # Initial clauses : 60
% 0.22/0.50 # Removed in clause preprocessing : 16
% 0.22/0.50 # Initial clauses in saturation : 44
% 0.22/0.50 # Processed clauses : 51
% 0.22/0.50 # ...of these trivial : 0
% 0.22/0.50 # ...subsumed : 0
% 0.22/0.50 # ...remaining for further processing : 50
% 0.22/0.50 # Other redundant clauses eliminated : 0
% 0.22/0.50 # Clauses deleted for lack of memory : 0
% 0.22/0.50 # Backward-subsumed : 0
% 0.22/0.50 # Backward-rewritten : 43
% 0.22/0.50 # Generated clauses : 108
% 0.22/0.50 # ...of the previous two non-redundant : 111
% 0.22/0.50 # ...aggressively subsumed : 0
% 0.22/0.50 # Contextual simplify-reflections : 0
% 0.22/0.50 # Paramodulations : 108
% 0.22/0.50 # Factorizations : 0
% 0.22/0.50 # NegExts : 0
% 0.22/0.50 # Equation resolutions : 0
% 0.22/0.50 # Disequality decompositions : 0
% 0.22/0.50 # Total rewrite steps : 70
% 0.22/0.50 # ...of those cached : 20
% 0.22/0.50 # Propositional unsat checks : 0
% 0.22/0.50 # Propositional check models : 0
% 0.22/0.50 # Propositional check unsatisfiable : 0
% 0.22/0.50 # Propositional clauses : 0
% 0.22/0.50 # Propositional clauses after purity: 0
% 0.22/0.50 # Propositional unsat core size : 0
% 0.22/0.50 # Propositional preprocessing time : 0.000
% 0.22/0.50 # Propositional encoding time : 0.000
% 0.22/0.50 # Propositional solver time : 0.000
% 0.22/0.50 # Success case prop preproc time : 0.000
% 0.22/0.50 # Success case prop encoding time : 0.000
% 0.22/0.50 # Success case prop solver time : 0.000
% 0.22/0.50 # Current number of processed clauses : 7
% 0.22/0.50 # Positive orientable unit clauses : 7
% 0.22/0.50 # Positive unorientable unit clauses: 0
% 0.22/0.50 # Negative unit clauses : 0
% 0.22/0.50 # Non-unit-clauses : 0
% 0.22/0.50 # Current number of unprocessed clauses: 53
% 0.22/0.50 # ...number of literals in the above : 163
% 0.22/0.50 # Current number of archived formulas : 0
% 0.22/0.50 # Current number of archived clauses : 43
% 0.22/0.50 # Clause-clause subsumption calls (NU) : 105
% 0.22/0.50 # Rec. Clause-clause subsumption calls : 63
% 0.22/0.50 # Non-unit clause-clause subsumptions : 0
% 0.22/0.50 # Unit Clause-clause subsumption calls : 24
% 0.22/0.50 # Rewrite failures with RHS unbound : 0
% 0.22/0.50 # BW rewrite match attempts : 48
% 0.22/0.50 # BW rewrite match successes : 45
% 0.22/0.50 # Condensation attempts : 0
% 0.22/0.50 # Condensation successes : 0
% 0.22/0.50 # Termbank termtop insertions : 3553
% 0.22/0.50 # Search garbage collected termcells : 364
% 0.22/0.50
% 0.22/0.50 # -------------------------------------------------
% 0.22/0.50 # User time : 0.008 s
% 0.22/0.50 # System time : 0.003 s
% 0.22/0.50 # Total time : 0.010 s
% 0.22/0.50 # Maximum resident set size: 1912 pages
% 0.22/0.50
% 0.22/0.50 # -------------------------------------------------
% 0.22/0.50 # User time : 0.009 s
% 0.22/0.50 # System time : 0.005 s
% 0.22/0.50 # Total time : 0.014 s
% 0.22/0.50 # Maximum resident set size: 1772 pages
% 0.22/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------