TSTP Solution File: COM016+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : COM016+1 : TPTP v8.2.0. Released v4.0.0.
% 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 : Mon May 20 19:08:17 EDT 2024
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 119 ( 4 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 156 ( 64 ~; 69 |; 19 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mTCRDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(mTCDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
<=> ( aReductOfIn0(X3,X1,X2)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,X2)
& sdtmndtplgtdt0(X4,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(m__731_02,hypothesis,
( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).
fof(c_0_6,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xb) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,plain,
! [X30,X31,X32] :
( ( ~ sdtmndtasgtdt0(X30,X31,X32)
| X30 = X32
| sdtmndtplgtdt0(X30,X31,X32)
| ~ aElement0(X30)
| ~ aRewritingSystem0(X31)
| ~ aElement0(X32) )
& ( X30 != X32
| sdtmndtasgtdt0(X30,X31,X32)
| ~ aElement0(X30)
| ~ aRewritingSystem0(X31)
| ~ aElement0(X32) )
& ( ~ sdtmndtplgtdt0(X30,X31,X32)
| sdtmndtasgtdt0(X30,X31,X32)
| ~ aElement0(X30)
| ~ aRewritingSystem0(X31)
| ~ aElement0(X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])])]) ).
fof(c_0_8,negated_conjecture,
! [X10] :
( ~ aElement0(X10)
| ~ aReductOfIn0(X10,xa,xR)
| ~ sdtmndtasgtdt0(X10,xR,xb) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_9,plain,
( sdtmndtasgtdt0(X1,X3,X2)
| X1 != X2
| ~ aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X42,X43,X44,X46] :
( ( aElement0(esk9_3(X42,X43,X44))
| aReductOfIn0(X44,X42,X43)
| ~ sdtmndtplgtdt0(X42,X43,X44)
| ~ aElement0(X42)
| ~ aRewritingSystem0(X43)
| ~ aElement0(X44) )
& ( aReductOfIn0(esk9_3(X42,X43,X44),X42,X43)
| aReductOfIn0(X44,X42,X43)
| ~ sdtmndtplgtdt0(X42,X43,X44)
| ~ aElement0(X42)
| ~ aRewritingSystem0(X43)
| ~ aElement0(X44) )
& ( sdtmndtplgtdt0(esk9_3(X42,X43,X44),X43,X44)
| aReductOfIn0(X44,X42,X43)
| ~ sdtmndtplgtdt0(X42,X43,X44)
| ~ aElement0(X42)
| ~ aRewritingSystem0(X43)
| ~ aElement0(X44) )
& ( ~ aReductOfIn0(X44,X42,X43)
| sdtmndtplgtdt0(X42,X43,X44)
| ~ aElement0(X42)
| ~ aRewritingSystem0(X43)
| ~ aElement0(X44) )
& ( ~ aElement0(X46)
| ~ aReductOfIn0(X46,X42,X43)
| ~ sdtmndtplgtdt0(X46,X43,X44)
| sdtmndtplgtdt0(X42,X43,X44)
| ~ aElement0(X42)
| ~ aRewritingSystem0(X43)
| ~ aElement0(X44) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCDef])])])])])]) ).
cnf(c_0_11,negated_conjecture,
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xa,xR)
| ~ sdtmndtasgtdt0(X1,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( sdtmndtasgtdt0(X1,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_14,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_15,plain,
( sdtmndtplgtdt0(esk9_3(X1,X2,X3),X2,X3)
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,hypothesis,
sdtmndtplgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[m__731_02]) ).
cnf(c_0_17,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_18,negated_conjecture,
~ aReductOfIn0(xb,xa,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_19,plain,
( aElement0(esk9_3(X1,X2,X3))
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,hypothesis,
sdtmndtplgtdt0(esk9_3(xa,xR,xb),xR,xb),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14]),c_0_13]),c_0_17])]),c_0_18]) ).
cnf(c_0_22,hypothesis,
aElement0(esk9_3(xa,xR,xb)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_16]),c_0_14]),c_0_13]),c_0_17])]),c_0_18]) ).
cnf(c_0_23,plain,
( aReductOfIn0(esk9_3(X1,X2,X3),X1,X2)
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,hypothesis,
sdtmndtasgtdt0(esk9_3(xa,xR,xb),xR,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]),c_0_13]),c_0_22])]) ).
cnf(c_0_25,hypothesis,
aReductOfIn0(esk9_3(xa,xR,xb),xa,xR),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_16]),c_0_14]),c_0_13]),c_0_17])]),c_0_18]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_24]),c_0_25]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COM016+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 10:29:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order model finding
% 0.18/0.45 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/benchmark/theBenchmark.p
% 0.18/0.47 # Version: 3.1.0
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # new_bool_3 with pid 25615 completed with status 0
% 0.18/0.47 # Result found by new_bool_3
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.18/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.18/0.47 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 25619 completed with status 0
% 0.18/0.47 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.18/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.18/0.47 # Preprocessing time : 0.001 s
% 0.18/0.47 # Presaturation interreduction done
% 0.18/0.47
% 0.18/0.47 # Proof found!
% 0.18/0.47 # SZS status Theorem
% 0.18/0.47 # SZS output start CNFRefutation
% See solution above
% 0.18/0.47 # Parsed axioms : 20
% 0.18/0.47 # Removed by relevancy pruning/SinE : 1
% 0.18/0.47 # Initial clauses : 46
% 0.18/0.47 # Removed in clause preprocessing : 4
% 0.18/0.47 # Initial clauses in saturation : 42
% 0.18/0.47 # Processed clauses : 106
% 0.18/0.47 # ...of these trivial : 0
% 0.18/0.47 # ...subsumed : 0
% 0.18/0.47 # ...remaining for further processing : 106
% 0.18/0.47 # Other redundant clauses eliminated : 1
% 0.18/0.47 # Clauses deleted for lack of memory : 0
% 0.18/0.47 # Backward-subsumed : 0
% 0.18/0.47 # Backward-rewritten : 0
% 0.18/0.47 # Generated clauses : 75
% 0.18/0.47 # ...of the previous two non-redundant : 61
% 0.18/0.47 # ...aggressively subsumed : 0
% 0.18/0.47 # Contextual simplify-reflections : 8
% 0.18/0.47 # Paramodulations : 74
% 0.18/0.47 # Factorizations : 0
% 0.18/0.47 # NegExts : 0
% 0.18/0.47 # Equation resolutions : 1
% 0.18/0.47 # Disequality decompositions : 0
% 0.18/0.47 # Total rewrite steps : 164
% 0.18/0.47 # ...of those cached : 151
% 0.18/0.47 # Propositional unsat checks : 0
% 0.18/0.47 # Propositional check models : 0
% 0.18/0.47 # Propositional check unsatisfiable : 0
% 0.18/0.47 # Propositional clauses : 0
% 0.18/0.47 # Propositional clauses after purity: 0
% 0.18/0.47 # Propositional unsat core size : 0
% 0.18/0.47 # Propositional preprocessing time : 0.000
% 0.18/0.47 # Propositional encoding time : 0.000
% 0.18/0.47 # Propositional solver time : 0.000
% 0.18/0.47 # Success case prop preproc time : 0.000
% 0.18/0.47 # Success case prop encoding time : 0.000
% 0.18/0.47 # Success case prop solver time : 0.000
% 0.18/0.47 # Current number of processed clauses : 63
% 0.18/0.47 # Positive orientable unit clauses : 19
% 0.18/0.47 # Positive unorientable unit clauses: 0
% 0.18/0.47 # Negative unit clauses : 2
% 0.18/0.47 # Non-unit-clauses : 42
% 0.18/0.47 # Current number of unprocessed clauses: 37
% 0.18/0.47 # ...number of literals in the above : 121
% 0.18/0.47 # Current number of archived formulas : 0
% 0.18/0.47 # Current number of archived clauses : 42
% 0.18/0.47 # Clause-clause subsumption calls (NU) : 467
% 0.18/0.47 # Rec. Clause-clause subsumption calls : 63
% 0.18/0.47 # Non-unit clause-clause subsumptions : 8
% 0.18/0.47 # Unit Clause-clause subsumption calls : 51
% 0.18/0.47 # Rewrite failures with RHS unbound : 0
% 0.18/0.47 # BW rewrite match attempts : 9
% 0.18/0.47 # BW rewrite match successes : 0
% 0.18/0.47 # Condensation attempts : 0
% 0.18/0.47 # Condensation successes : 0
% 0.18/0.47 # Termbank termtop insertions : 6273
% 0.18/0.47 # Search garbage collected termcells : 955
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.011 s
% 0.18/0.47 # System time : 0.003 s
% 0.18/0.47 # Total time : 0.014 s
% 0.18/0.47 # Maximum resident set size: 1868 pages
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.012 s
% 0.18/0.47 # System time : 0.005 s
% 0.18/0.47 # Total time : 0.017 s
% 0.18/0.47 # Maximum resident set size: 1716 pages
% 0.18/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------