TSTP Solution File: RNG103+2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : RNG103+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 02:37:09 EDT 2024
% Result : Theorem 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 10 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(m__,conjecture,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1979,hypothesis,
( aElement0(xv)
& sdtasdt0(xc,xv) = xy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1979) ).
fof(m__1905,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(m__1956,hypothesis,
( aElement0(xu)
& sdtasdt0(xc,xu) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
fof(c_0_5,plain,
! [X33,X34,X35] :
( ( sdtasdt0(X33,sdtpldt0(X34,X35)) = sdtpldt0(sdtasdt0(X33,X34),sdtasdt0(X33,X35))
| ~ aElement0(X33)
| ~ aElement0(X34)
| ~ aElement0(X35) )
& ( sdtasdt0(sdtpldt0(X34,X35),X33) = sdtpldt0(sdtasdt0(X34,X33),sdtasdt0(X35,X33))
| ~ aElement0(X33)
| ~ aElement0(X34)
| ~ aElement0(X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])])]) ).
fof(c_0_6,negated_conjecture,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_7,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
sdtasdt0(xc,xv) = xy,
inference(split_conjunct,[status(thm)],[m__1979]) ).
cnf(c_0_9,hypothesis,
aElement0(xv),
inference(split_conjunct,[status(thm)],[m__1979]) ).
cnf(c_0_10,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__1905]) ).
fof(c_0_11,negated_conjecture,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
cnf(c_0_12,hypothesis,
( sdtpldt0(sdtasdt0(xc,X1),xy) = sdtasdt0(xc,sdtpldt0(X1,xv))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_13,hypothesis,
sdtasdt0(xc,xu) = xx,
inference(split_conjunct,[status(thm)],[m__1956]) ).
cnf(c_0_14,hypothesis,
aElement0(xu),
inference(split_conjunct,[status(thm)],[m__1956]) ).
cnf(c_0_15,negated_conjecture,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : RNG103+2 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat May 18 12:10:37 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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
% 0.16/0.45 # Version: 3.1.0
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # new_bool_1 with pid 28305 completed with status 0
% 0.16/0.45 # Result found by new_bool_1
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FGUSF-FFMM31-SFFFFFNN
% 0.16/0.45 # partial match(1): FGHSF-FFMM31-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 28307 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FGUSF-FFMM31-SFFFFFNN
% 0.16/0.45 # partial match(1): FGHSF-FFMM31-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.16/0.45 # Preprocessing time : 0.001 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Theorem
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 42
% 0.16/0.45 # Removed by relevancy pruning/SinE : 20
% 0.16/0.45 # Initial clauses : 49
% 0.16/0.45 # Removed in clause preprocessing : 2
% 0.16/0.45 # Initial clauses in saturation : 47
% 0.16/0.45 # Processed clauses : 190
% 0.16/0.45 # ...of these trivial : 7
% 0.16/0.45 # ...subsumed : 27
% 0.16/0.45 # ...remaining for further processing : 156
% 0.16/0.45 # Other redundant clauses eliminated : 8
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 2
% 0.16/0.45 # Backward-rewritten : 3
% 0.16/0.45 # Generated clauses : 419
% 0.16/0.45 # ...of the previous two non-redundant : 353
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 404
% 0.16/0.45 # Factorizations : 8
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 8
% 0.16/0.45 # Disequality decompositions : 0
% 0.16/0.45 # Total rewrite steps : 473
% 0.16/0.45 # ...of those cached : 451
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 100
% 0.16/0.45 # Positive orientable unit clauses : 39
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 1
% 0.16/0.45 # Non-unit-clauses : 60
% 0.16/0.45 # Current number of unprocessed clauses: 240
% 0.16/0.45 # ...number of literals in the above : 818
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 52
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 689
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 441
% 0.16/0.45 # Non-unit clause-clause subsumptions : 29
% 0.16/0.45 # Unit Clause-clause subsumption calls : 11
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 3
% 0.16/0.45 # BW rewrite match successes : 3
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 10211
% 0.16/0.45 # Search garbage collected termcells : 913
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.013 s
% 0.16/0.45 # System time : 0.002 s
% 0.16/0.45 # Total time : 0.015 s
% 0.16/0.45 # Maximum resident set size: 1844 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.015 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.019 s
% 0.16/0.45 # Maximum resident set size: 1752 pages
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------