TSTP Solution File: NUM555+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM555+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:07:41 EDT 2023
% Result : Theorem 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 83 ( 17 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 117 ( 49 ~; 50 |; 15 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 0 sgn; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7ZYnn2WoUD/E---3.1_15927.p',mDefDiff) ).
fof(m__,conjecture,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
file('/export/starexec/sandbox2/tmp/tmp.7ZYnn2WoUD/E---3.1_15927.p',m__) ).
fof(m__2323,hypothesis,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/tmp/tmp.7ZYnn2WoUD/E---3.1_15927.p',m__2323) ).
fof(m__2304,hypothesis,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/tmp/tmp.7ZYnn2WoUD/E---3.1_15927.p',m__2304) ).
fof(m__2291,hypothesis,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox2/tmp/tmp.7ZYnn2WoUD/E---3.1_15927.p',m__2291) ).
fof(c_0_5,plain,
! [X34,X35,X36,X37,X38,X39] :
( ( aSet0(X36)
| X36 != sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) )
& ( aElement0(X37)
| ~ aElementOf0(X37,X36)
| X36 != sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) )
& ( aElementOf0(X37,X34)
| ~ aElementOf0(X37,X36)
| X36 != sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) )
& ( X37 != X35
| ~ aElementOf0(X37,X36)
| X36 != sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) )
& ( ~ aElement0(X38)
| ~ aElementOf0(X38,X34)
| X38 = X35
| aElementOf0(X38,X36)
| X36 != sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) )
& ( ~ aElementOf0(esk4_3(X34,X35,X39),X39)
| ~ aElement0(esk4_3(X34,X35,X39))
| ~ aElementOf0(esk4_3(X34,X35,X39),X34)
| esk4_3(X34,X35,X39) = X35
| ~ aSet0(X39)
| X39 = sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) )
& ( aElement0(esk4_3(X34,X35,X39))
| aElementOf0(esk4_3(X34,X35,X39),X39)
| ~ aSet0(X39)
| X39 = sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) )
& ( aElementOf0(esk4_3(X34,X35,X39),X34)
| aElementOf0(esk4_3(X34,X35,X39),X39)
| ~ aSet0(X39)
| X39 = sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) )
& ( esk4_3(X34,X35,X39) != X35
| aElementOf0(esk4_3(X34,X35,X39),X39)
| ~ aSet0(X39)
| X39 = sdtmndt0(X34,X35)
| ~ aSet0(X34)
| ~ aElement0(X35) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])])]) ).
cnf(c_0_6,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_8,hypothesis,
~ aElementOf0(xx,xQ),
inference(fof_simplification,[status(thm)],[m__2323]) ).
cnf(c_0_9,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__2304]) ).
cnf(c_0_12,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[m__2291]) ).
cnf(c_0_13,hypothesis,
~ aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : NUM555+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n019.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Oct 2 13:50:21 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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/tmp/tmp.7ZYnn2WoUD/E---3.1_15927.p
% 0.14/0.43 # Version: 3.1pre001
% 0.14/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.43 # Starting sh5l with 300s (1) cores
% 0.14/0.43 # sh5l with pid 16008 completed with status 0
% 0.14/0.43 # Result found by sh5l
% 0.14/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.43 # Starting sh5l with 300s (1) cores
% 0.14/0.43 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.43 # Search class: FGHSF-FSMM31-MFFFFFNN
% 0.14/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.43 # SAT001_MinMin_p005000_rr_RG with pid 16016 completed with status 0
% 0.14/0.43 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/0.43 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.43 # Starting sh5l with 300s (1) cores
% 0.14/0.43 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.43 # Search class: FGHSF-FSMM31-MFFFFFNN
% 0.14/0.43 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.43 # Preprocessing time : 0.002 s
% 0.14/0.43 # Presaturation interreduction done
% 0.14/0.43
% 0.14/0.43 # Proof found!
% 0.14/0.43 # SZS status Theorem
% 0.14/0.43 # SZS output start CNFRefutation
% See solution above
% 0.14/0.43 # Parsed axioms : 71
% 0.14/0.43 # Removed by relevancy pruning/SinE : 3
% 0.14/0.43 # Initial clauses : 121
% 0.14/0.43 # Removed in clause preprocessing : 5
% 0.14/0.43 # Initial clauses in saturation : 116
% 0.14/0.43 # Processed clauses : 209
% 0.14/0.43 # ...of these trivial : 1
% 0.14/0.43 # ...subsumed : 3
% 0.14/0.43 # ...remaining for further processing : 205
% 0.14/0.43 # Other redundant clauses eliminated : 29
% 0.14/0.43 # Clauses deleted for lack of memory : 0
% 0.14/0.43 # Backward-subsumed : 0
% 0.14/0.43 # Backward-rewritten : 1
% 0.14/0.43 # Generated clauses : 71
% 0.14/0.43 # ...of the previous two non-redundant : 52
% 0.14/0.43 # ...aggressively subsumed : 0
% 0.14/0.43 # Contextual simplify-reflections : 12
% 0.14/0.43 # Paramodulations : 45
% 0.14/0.43 # Factorizations : 0
% 0.14/0.43 # NegExts : 0
% 0.14/0.43 # Equation resolutions : 29
% 0.14/0.43 # Total rewrite steps : 48
% 0.14/0.43 # Propositional unsat checks : 0
% 0.14/0.43 # Propositional check models : 0
% 0.14/0.43 # Propositional check unsatisfiable : 0
% 0.14/0.43 # Propositional clauses : 0
% 0.14/0.43 # Propositional clauses after purity: 0
% 0.14/0.43 # Propositional unsat core size : 0
% 0.14/0.43 # Propositional preprocessing time : 0.000
% 0.14/0.43 # Propositional encoding time : 0.000
% 0.14/0.43 # Propositional solver time : 0.000
% 0.14/0.43 # Success case prop preproc time : 0.000
% 0.14/0.43 # Success case prop encoding time : 0.000
% 0.14/0.43 # Success case prop solver time : 0.000
% 0.14/0.43 # Current number of processed clauses : 64
% 0.14/0.43 # Positive orientable unit clauses : 23
% 0.14/0.43 # Positive unorientable unit clauses: 0
% 0.14/0.43 # Negative unit clauses : 6
% 0.14/0.43 # Non-unit-clauses : 35
% 0.14/0.43 # Current number of unprocessed clauses: 73
% 0.14/0.43 # ...number of literals in the above : 316
% 0.14/0.43 # Current number of archived formulas : 0
% 0.14/0.43 # Current number of archived clauses : 116
% 0.14/0.43 # Clause-clause subsumption calls (NU) : 2579
% 0.14/0.43 # Rec. Clause-clause subsumption calls : 575
% 0.14/0.43 # Non-unit clause-clause subsumptions : 12
% 0.14/0.43 # Unit Clause-clause subsumption calls : 12
% 0.14/0.43 # Rewrite failures with RHS unbound : 0
% 0.14/0.43 # BW rewrite match attempts : 1
% 0.14/0.43 # BW rewrite match successes : 1
% 0.14/0.43 # Condensation attempts : 0
% 0.14/0.43 # Condensation successes : 0
% 0.14/0.43 # Termbank termtop insertions : 9431
% 0.14/0.43
% 0.14/0.43 # -------------------------------------------------
% 0.14/0.43 # User time : 0.019 s
% 0.14/0.43 # System time : 0.001 s
% 0.14/0.43 # Total time : 0.020 s
% 0.14/0.43 # Maximum resident set size: 2092 pages
% 0.14/0.43
% 0.14/0.43 # -------------------------------------------------
% 0.14/0.43 # User time : 0.023 s
% 0.14/0.43 # System time : 0.001 s
% 0.14/0.43 # Total time : 0.024 s
% 0.14/0.43 # Maximum resident set size: 1752 pages
% 0.14/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------