TSTP Solution File: SWV168+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 19:56:15 EDT 2023
% Result : Theorem 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 182 ( 42 equ)
% Maximal formula atoms : 47 ( 9 avg)
% Number of connectives : 213 ( 50 ~; 47 |; 76 &)
% ( 1 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0016,conjecture,
( ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n135299) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n4) )
=> a_select3(q_init,X14,X18) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(rho_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,pred(pv40)) )
=> a_select2(sigma_init,X21) = init )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,n4) )
=> a_select3(center_init,X22,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> a_select2(muold_init,X28) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,n4) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select2(sigmaold_init,X5) = init ) ) )
=> a_select3(q_init,pv46,pv40) = init ),
file('/export/starexec/sandbox2/tmp/tmp.Jrle6hzKIe/E---3.1_26808.p',cl5_nebula_init_0016) ).
fof(c_0_1,plain,
( epred1_0
<=> ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n135299) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n4) )
=> a_select3(q_init,X14,X18) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(rho_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,pred(pv40)) )
=> a_select2(sigma_init,X21) = init )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,n4) )
=> a_select3(center_init,X22,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> a_select2(muold_init,X28) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,n4) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select2(sigmaold_init,X5) = init ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred1_0
=> ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X14] :
( ( leq(n0,X14)
& leq(X14,n135299) )
=> ! [X18] :
( ( leq(n0,X18)
& leq(X18,n4) )
=> a_select3(q_init,X14,X18) = init ) )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> a_select2(rho_init,X4) = init )
& ! [X20] :
( ( leq(n0,X20)
& leq(X20,pred(pv40)) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,pred(pv40)) )
=> a_select2(sigma_init,X21) = init )
& ! [X22] :
( ( leq(n0,X22)
& leq(X22,n4) )
=> a_select3(center_init,X22,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,n4) )
=> a_select2(muold_init,X28) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(n0,X29)
& leq(X29,n4) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select2(sigmaold_init,X5) = init ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ ( epred1_0
=> a_select3(q_init,pv46,pv40) = init ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0016]),c_0_1]) ).
fof(c_0_4,plain,
! [X171,X172,X173,X174,X175,X176,X177,X178,X179] :
( ( a_select2(mu_init,pv40) = init
| ~ epred1_0 )
& ( leq(n0,pv40)
| ~ epred1_0 )
& ( leq(n0,pv46)
| ~ epred1_0 )
& ( leq(pv40,n4)
| ~ epred1_0 )
& ( leq(pv46,n135299)
| ~ epred1_0 )
& ( ~ leq(n0,X171)
| ~ leq(X171,n135299)
| ~ leq(n0,X172)
| ~ leq(X172,n4)
| a_select3(q_init,X171,X172) = init
| ~ epred1_0 )
& ( ~ leq(n0,X173)
| ~ leq(X173,n4)
| a_select2(rho_init,X173) = init
| ~ epred1_0 )
& ( ~ leq(n0,X174)
| ~ leq(X174,pred(pv40))
| a_select2(mu_init,X174) = init
| ~ epred1_0 )
& ( ~ leq(n0,X175)
| ~ leq(X175,pred(pv40))
| a_select2(sigma_init,X175) = init
| ~ epred1_0 )
& ( ~ leq(n0,X176)
| ~ leq(X176,n4)
| a_select3(center_init,X176,n0) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X177)
| ~ leq(X177,n4)
| a_select2(muold_init,X177) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X178)
| ~ leq(X178,n4)
| a_select2(rhoold_init,X178) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X179)
| ~ leq(X179,n4)
| a_select2(sigmaold_init,X179) = init
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_5,negated_conjecture,
( epred1_0
& a_select3(q_init,pv46,pv40) != init ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( a_select3(q_init,X1,X2) = init
| ~ leq(n0,X1)
| ~ leq(X1,n135299)
| ~ leq(n0,X2)
| ~ leq(X2,n4)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( leq(pv40,n4)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( leq(pv46,n135299)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( leq(n0,pv40)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( leq(n0,pv46)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
a_select3(q_init,pv46,pv40) != init,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( a_select3(q_init,X1,X2) = init
| ~ leq(X2,n4)
| ~ leq(X1,n135299)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_14,plain,
leq(pv40,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).
cnf(c_0_15,plain,
leq(pv46,n135299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_7])]) ).
cnf(c_0_16,plain,
leq(n0,pv40),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_7])]) ).
cnf(c_0_17,plain,
leq(n0,pv46),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_7])]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n017.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Oct 3 02:39:26 EDT 2023
% 0.10/0.31 % 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/tmp/tmp.Jrle6hzKIe/E---3.1_26808.p
% 0.16/0.47 # Version: 3.1pre001
% 0.16/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 # Starting sh5l with 300s (1) cores
% 0.16/0.47 # sh5l with pid 26888 completed with status 0
% 0.16/0.47 # Result found by sh5l
% 0.16/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 # Starting sh5l with 300s (1) cores
% 0.16/0.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.47 # Search class: FGUSM-FSLM33-DFFFFFNN
% 0.16/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47 # Starting SAT001_MinMin_p005000_rr_RG with 150s (1) cores
% 0.16/0.47 # SAT001_MinMin_p005000_rr_RG with pid 26891 completed with status 0
% 0.16/0.47 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.47 # Starting sh5l with 300s (1) cores
% 0.16/0.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.47 # Search class: FGUSM-FSLM33-DFFFFFNN
% 0.16/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.47 # Starting SAT001_MinMin_p005000_rr_RG with 150s (1) cores
% 0.16/0.47 # Preprocessing time : 0.003 s
% 0.16/0.47 # Presaturation interreduction done
% 0.16/0.47
% 0.16/0.47 # Proof found!
% 0.16/0.47 # SZS status Theorem
% 0.16/0.47 # SZS output start CNFRefutation
% See solution above
% 0.16/0.47 # Parsed axioms : 92
% 0.16/0.47 # Removed by relevancy pruning/SinE : 8
% 0.16/0.47 # Initial clauses : 176
% 0.16/0.47 # Removed in clause preprocessing : 0
% 0.16/0.47 # Initial clauses in saturation : 176
% 0.16/0.47 # Processed clauses : 534
% 0.16/0.47 # ...of these trivial : 5
% 0.16/0.47 # ...subsumed : 147
% 0.16/0.47 # ...remaining for further processing : 382
% 0.16/0.47 # Other redundant clauses eliminated : 3
% 0.16/0.47 # Clauses deleted for lack of memory : 0
% 0.16/0.47 # Backward-subsumed : 0
% 0.16/0.47 # Backward-rewritten : 7
% 0.16/0.47 # Generated clauses : 588
% 0.16/0.47 # ...of the previous two non-redundant : 518
% 0.16/0.47 # ...aggressively subsumed : 0
% 0.16/0.47 # Contextual simplify-reflections : 0
% 0.16/0.47 # Paramodulations : 584
% 0.16/0.47 # Factorizations : 2
% 0.16/0.47 # NegExts : 0
% 0.16/0.47 # Equation resolutions : 3
% 0.16/0.47 # Total rewrite steps : 326
% 0.16/0.47 # Propositional unsat checks : 0
% 0.16/0.47 # Propositional check models : 0
% 0.16/0.47 # Propositional check unsatisfiable : 0
% 0.16/0.47 # Propositional clauses : 0
% 0.16/0.47 # Propositional clauses after purity: 0
% 0.16/0.47 # Propositional unsat core size : 0
% 0.16/0.47 # Propositional preprocessing time : 0.000
% 0.16/0.47 # Propositional encoding time : 0.000
% 0.16/0.47 # Propositional solver time : 0.000
% 0.16/0.47 # Success case prop preproc time : 0.000
% 0.16/0.47 # Success case prop encoding time : 0.000
% 0.16/0.47 # Success case prop solver time : 0.000
% 0.16/0.47 # Current number of processed clauses : 197
% 0.16/0.47 # Positive orientable unit clauses : 102
% 0.16/0.47 # Positive unorientable unit clauses: 3
% 0.16/0.47 # Negative unit clauses : 64
% 0.16/0.47 # Non-unit-clauses : 28
% 0.16/0.47 # Current number of unprocessed clauses: 336
% 0.16/0.47 # ...number of literals in the above : 941
% 0.16/0.47 # Current number of archived formulas : 0
% 0.16/0.47 # Current number of archived clauses : 183
% 0.16/0.47 # Clause-clause subsumption calls (NU) : 2901
% 0.16/0.47 # Rec. Clause-clause subsumption calls : 728
% 0.16/0.47 # Non-unit clause-clause subsumptions : 0
% 0.16/0.47 # Unit Clause-clause subsumption calls : 1171
% 0.16/0.47 # Rewrite failures with RHS unbound : 0
% 0.16/0.47 # BW rewrite match attempts : 23
% 0.16/0.47 # BW rewrite match successes : 17
% 0.16/0.47 # Condensation attempts : 0
% 0.16/0.47 # Condensation successes : 0
% 0.16/0.47 # Termbank termtop insertions : 17619
% 0.16/0.47
% 0.16/0.47 # -------------------------------------------------
% 0.16/0.47 # User time : 0.033 s
% 0.16/0.47 # System time : 0.005 s
% 0.16/0.47 # Total time : 0.038 s
% 0.16/0.47 # Maximum resident set size: 2384 pages
% 0.16/0.47
% 0.16/0.47 # -------------------------------------------------
% 0.16/0.47 # User time : 0.038 s
% 0.16/0.47 # System time : 0.005 s
% 0.16/0.47 # Total time : 0.043 s
% 0.16/0.47 # Maximum resident set size: 1804 pages
% 0.16/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------