TSTP Solution File: COM017+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : COM017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 17:22:19 EDT 2023
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 197 ( 82 ~; 84 |; 26 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 50 ( 0 sgn; 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mWCRDef,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isLocallyConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& aReductOfIn0(X3,X2,X1)
& aReductOfIn0(X4,X2,X1) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eHWcaomafm/E---3.1_28952.p',mWCRDef) ).
fof(mReduct,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.eHWcaomafm/E---3.1_28952.p',mReduct) ).
fof(m__,conjecture,
? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xu,xR,X1)
& sdtmndtasgtdt0(xv,xR,X1) ),
file('/export/starexec/sandbox/tmp/tmp.eHWcaomafm/E---3.1_28952.p',m__) ).
fof(m__779,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& sdtmndtasgtdt0(xv,xR,xc) ),
file('/export/starexec/sandbox/tmp/tmp.eHWcaomafm/E---3.1_28952.p',m__779) ).
fof(m__656_01,hypothesis,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox/tmp/tmp.eHWcaomafm/E---3.1_28952.p',m__656_01) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/tmp/tmp.eHWcaomafm/E---3.1_28952.p',m__656) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/tmp/tmp.eHWcaomafm/E---3.1_28952.p',m__731) ).
fof(m__755,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox/tmp/tmp.eHWcaomafm/E---3.1_28952.p',m__755) ).
fof(c_0_8,plain,
! [X14,X15,X16,X17,X22] :
( ( aElement0(esk1_4(X14,X15,X16,X17))
| ~ aElement0(X15)
| ~ aElement0(X16)
| ~ aElement0(X17)
| ~ aReductOfIn0(X16,X15,X14)
| ~ aReductOfIn0(X17,X15,X14)
| ~ isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) )
& ( sdtmndtasgtdt0(X16,X14,esk1_4(X14,X15,X16,X17))
| ~ aElement0(X15)
| ~ aElement0(X16)
| ~ aElement0(X17)
| ~ aReductOfIn0(X16,X15,X14)
| ~ aReductOfIn0(X17,X15,X14)
| ~ isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) )
& ( sdtmndtasgtdt0(X17,X14,esk1_4(X14,X15,X16,X17))
| ~ aElement0(X15)
| ~ aElement0(X16)
| ~ aElement0(X17)
| ~ aReductOfIn0(X16,X15,X14)
| ~ aReductOfIn0(X17,X15,X14)
| ~ isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) )
& ( aElement0(esk2_1(X14))
| isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) )
& ( aElement0(esk3_1(X14))
| isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) )
& ( aElement0(esk4_1(X14))
| isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) )
& ( aReductOfIn0(esk3_1(X14),esk2_1(X14),X14)
| isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) )
& ( aReductOfIn0(esk4_1(X14),esk2_1(X14),X14)
| isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) )
& ( ~ aElement0(X22)
| ~ sdtmndtasgtdt0(esk3_1(X14),X14,X22)
| ~ sdtmndtasgtdt0(esk4_1(X14),X14,X22)
| isLocallyConfluent0(X14)
| ~ aRewritingSystem0(X14) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mWCRDef])])])])]) ).
fof(c_0_9,plain,
! [X33,X34,X35] :
( ~ aElement0(X33)
| ~ aRewritingSystem0(X34)
| ~ aReductOfIn0(X35,X33,X34)
| aElement0(X35) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mReduct])])]) ).
cnf(c_0_10,plain,
( sdtmndtasgtdt0(X1,X2,esk1_4(X2,X3,X1,X4))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ isLocallyConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( aElement0(X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( sdtmndtasgtdt0(X1,X2,esk1_4(X2,X3,X4,X1))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ isLocallyConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( aElement0(esk1_4(X1,X2,X3,X4))
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xu,xR,X1)
& sdtmndtasgtdt0(xv,xR,X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_15,plain,
( sdtmndtasgtdt0(X1,X2,esk1_4(X2,X3,X1,X4))
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_16,hypothesis,
aReductOfIn0(xv,xa,xR),
inference(split_conjunct,[status(thm)],[m__779]) ).
cnf(c_0_17,hypothesis,
isLocallyConfluent0(xR),
inference(split_conjunct,[status(thm)],[m__656_01]) ).
cnf(c_0_18,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_19,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_20,plain,
( sdtmndtasgtdt0(X1,X2,esk1_4(X2,X3,X4,X1))
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_12,c_0_11]),c_0_11]) ).
cnf(c_0_21,hypothesis,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[m__755]) ).
cnf(c_0_22,plain,
( aElement0(esk1_4(X1,X2,X3,X4))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_13,c_0_11]),c_0_11]) ).
fof(c_0_23,negated_conjecture,
! [X6] :
( ~ aElement0(X6)
| ~ sdtmndtasgtdt0(xu,xR,X6)
| ~ sdtmndtasgtdt0(xv,xR,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_24,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk1_4(xR,xa,X1,xv))
| ~ aReductOfIn0(X1,xa,xR) ),
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_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_25,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk1_4(xR,xa,xu,X1))
| ~ aReductOfIn0(X1,xa,xR) ),
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_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_26,hypothesis,
( aElement0(esk1_4(xR,xa,X1,xv))
| ~ aReductOfIn0(X1,xa,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_27,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,hypothesis,
sdtmndtasgtdt0(xu,xR,esk1_4(xR,xa,xu,xv)),
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_29,hypothesis,
sdtmndtasgtdt0(xv,xR,esk1_4(xR,xa,xu,xv)),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_30,hypothesis,
aElement0(esk1_4(xR,xa,xu,xv)),
inference(spm,[status(thm)],[c_0_26,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n026.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 : Tue Oct 3 05:16:29 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.eHWcaomafm/E---3.1_28952.p
% 0.19/0.50 # Version: 3.1pre001
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # sh5l with pid 29033 completed with status 0
% 0.19/0.50 # Result found by sh5l
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.19/0.50 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 29034 completed with status 0
% 0.19/0.50 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 0.19/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.19/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.19/0.50 # Preprocessing time : 0.001 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Theorem
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 22
% 0.19/0.50 # Removed by relevancy pruning/SinE : 1
% 0.19/0.50 # Initial clauses : 52
% 0.19/0.50 # Removed in clause preprocessing : 4
% 0.19/0.50 # Initial clauses in saturation : 48
% 0.19/0.50 # Processed clauses : 172
% 0.19/0.50 # ...of these trivial : 0
% 0.19/0.50 # ...subsumed : 10
% 0.19/0.50 # ...remaining for further processing : 162
% 0.19/0.50 # Other redundant clauses eliminated : 1
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 1
% 0.19/0.50 # Backward-rewritten : 0
% 0.19/0.50 # Generated clauses : 218
% 0.19/0.50 # ...of the previous two non-redundant : 171
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 9
% 0.19/0.50 # Paramodulations : 217
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 1
% 0.19/0.50 # Total rewrite steps : 414
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 112
% 0.19/0.50 # Positive orientable unit clauses : 33
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 5
% 0.19/0.50 # Non-unit-clauses : 74
% 0.19/0.50 # Current number of unprocessed clauses: 92
% 0.19/0.50 # ...number of literals in the above : 281
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 49
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 746
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 240
% 0.19/0.50 # Non-unit clause-clause subsumptions : 18
% 0.19/0.50 # Unit Clause-clause subsumption calls : 233
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 52
% 0.19/0.50 # BW rewrite match successes : 0
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 8320
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.014 s
% 0.19/0.50 # System time : 0.002 s
% 0.19/0.50 # Total time : 0.017 s
% 0.19/0.50 # Maximum resident set size: 1864 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.018 s
% 0.19/0.50 # System time : 0.003 s
% 0.19/0.50 # Total time : 0.020 s
% 0.19/0.50 # Maximum resident set size: 1704 pages
% 0.19/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------