TSTP Solution File: SWV167+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV167+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 193 ( 53 equ)
% Maximal formula atoms : 45 ( 8 avg)
% Number of connectives : 218 ( 49 ~; 47 |; 78 &)
% ( 2 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 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 : 52 ( 0 sgn; 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0011,conjecture,
( ( a_select2(mu_init,pv40) = init
& a_select2(sigma_init,pv40) = init
& leq(n0,pv40)
& leq(pv40,n4)
& ! [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 ) ) )
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,pv40) )
=> a_select2(mu_init,X11) = init ) ),
file('/export/starexec/sandbox2/tmp/tmp.9uLS1nwPmh/E---3.1_29131.p',cl5_nebula_init_0011) ).
fof(leq_gt2,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9uLS1nwPmh/E---3.1_29131.p',leq_gt2) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9uLS1nwPmh/E---3.1_29131.p',leq_gt_pred) ).
fof(c_0_3,plain,
( epred1_0
<=> ( a_select2(mu_init,pv40) = init
& a_select2(sigma_init,pv40) = init
& leq(n0,pv40)
& leq(pv40,n4)
& ! [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_4,plain,
( epred1_0
=> ( a_select2(mu_init,pv40) = init
& a_select2(sigma_init,pv40) = init
& leq(n0,pv40)
& leq(pv40,n4)
& ! [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_3]) ).
fof(c_0_5,negated_conjecture,
~ ( epred1_0
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,pv40) )
=> a_select2(mu_init,X11) = init ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0011]),c_0_3]) ).
fof(c_0_6,plain,
! [X74,X75,X76,X77,X78,X79,X80,X81,X82] :
( ( a_select2(mu_init,pv40) = init
| ~ epred1_0 )
& ( a_select2(sigma_init,pv40) = init
| ~ epred1_0 )
& ( leq(n0,pv40)
| ~ epred1_0 )
& ( leq(pv40,n4)
| ~ epred1_0 )
& ( ~ leq(n0,X74)
| ~ leq(X74,n135299)
| ~ leq(n0,X75)
| ~ leq(X75,n4)
| a_select3(q_init,X74,X75) = init
| ~ epred1_0 )
& ( ~ leq(n0,X76)
| ~ leq(X76,n4)
| a_select2(rho_init,X76) = init
| ~ epred1_0 )
& ( ~ leq(n0,X77)
| ~ leq(X77,pred(pv40))
| a_select2(mu_init,X77) = init
| ~ epred1_0 )
& ( ~ leq(n0,X78)
| ~ leq(X78,pred(pv40))
| a_select2(sigma_init,X78) = init
| ~ epred1_0 )
& ( ~ leq(n0,X79)
| ~ leq(X79,n4)
| a_select3(center_init,X79,n0) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X80)
| ~ leq(X80,n4)
| a_select2(muold_init,X80) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X81)
| ~ leq(X81,n4)
| a_select2(rhoold_init,X81) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X82)
| ~ leq(X82,n4)
| a_select2(sigmaold_init,X82) = init
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(esk1_0,pv40)
& a_select2(mu_init,esk1_0) != init ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X37,X38] :
( ~ leq(X37,X38)
| X37 = X38
| gt(X38,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).
cnf(c_0_9,plain,
( a_select2(mu_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv40))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X61,X62] :
( ( ~ leq(X61,pred(X62))
| gt(X62,X61) )
& ( ~ gt(X62,X61)
| leq(X61,pred(X62)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).
cnf(c_0_12,plain,
( X1 = X2
| gt(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
leq(esk1_0,pv40),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( a_select2(mu_init,X1) = init
| ~ leq(X1,pred(pv40))
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
a_select2(mu_init,esk1_0) != init,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( leq(X2,pred(X1))
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( esk1_0 = pv40
| gt(pv40,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
~ leq(esk1_0,pred(pv40)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
( a_select2(mu_init,pv40) = init
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
esk1_0 = pv40,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,plain,
a_select2(mu_init,pv40) = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_10])]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SWV167+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.05/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Oct 3 03:54:00 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order model finding
% 0.17/0.44 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.9uLS1nwPmh/E---3.1_29131.p
% 0.17/0.47 # Version: 3.1pre001
% 0.17/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 # Starting sh5l with 300s (1) cores
% 0.17/0.47 # new_bool_3 with pid 29265 completed with status 0
% 0.17/0.47 # Result found by new_bool_3
% 0.17/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47 # Search class: FGUSM-FFMM31-MFFFFFNN
% 0.17/0.47 # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.17/0.47 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.17/0.47 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 29272 completed with status 0
% 0.17/0.47 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.17/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47 # Search class: FGUSM-FFMM31-MFFFFFNN
% 0.17/0.47 # partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.17/0.47 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.17/0.47 # Preprocessing time : 0.003 s
% 0.17/0.47 # Presaturation interreduction done
% 0.17/0.47
% 0.17/0.47 # Proof found!
% 0.17/0.47 # SZS status Theorem
% 0.17/0.47 # SZS output start CNFRefutation
% See solution above
% 0.17/0.47 # Parsed axioms : 92
% 0.17/0.47 # Removed by relevancy pruning/SinE : 26
% 0.17/0.47 # Initial clauses : 84
% 0.17/0.47 # Removed in clause preprocessing : 0
% 0.17/0.47 # Initial clauses in saturation : 84
% 0.17/0.47 # Processed clauses : 200
% 0.17/0.47 # ...of these trivial : 0
% 0.17/0.47 # ...subsumed : 0
% 0.17/0.47 # ...remaining for further processing : 200
% 0.17/0.47 # Other redundant clauses eliminated : 0
% 0.17/0.47 # Clauses deleted for lack of memory : 0
% 0.17/0.47 # Backward-subsumed : 0
% 0.17/0.47 # Backward-rewritten : 6
% 0.17/0.47 # Generated clauses : 348
% 0.17/0.47 # ...of the previous two non-redundant : 278
% 0.17/0.47 # ...aggressively subsumed : 0
% 0.17/0.47 # Contextual simplify-reflections : 0
% 0.17/0.47 # Paramodulations : 346
% 0.17/0.47 # Factorizations : 2
% 0.17/0.47 # NegExts : 0
% 0.17/0.47 # Equation resolutions : 0
% 0.17/0.47 # Total rewrite steps : 191
% 0.17/0.47 # Propositional unsat checks : 0
% 0.17/0.47 # Propositional check models : 0
% 0.17/0.47 # Propositional check unsatisfiable : 0
% 0.17/0.47 # Propositional clauses : 0
% 0.17/0.47 # Propositional clauses after purity: 0
% 0.17/0.47 # Propositional unsat core size : 0
% 0.17/0.47 # Propositional preprocessing time : 0.000
% 0.17/0.47 # Propositional encoding time : 0.000
% 0.17/0.47 # Propositional solver time : 0.000
% 0.17/0.47 # Success case prop preproc time : 0.000
% 0.17/0.47 # Success case prop encoding time : 0.000
% 0.17/0.47 # Success case prop solver time : 0.000
% 0.17/0.47 # Current number of processed clauses : 110
% 0.17/0.47 # Positive orientable unit clauses : 82
% 0.17/0.47 # Positive unorientable unit clauses: 0
% 0.17/0.47 # Negative unit clauses : 1
% 0.17/0.47 # Non-unit-clauses : 27
% 0.17/0.47 # Current number of unprocessed clauses: 244
% 0.17/0.47 # ...number of literals in the above : 422
% 0.17/0.47 # Current number of archived formulas : 0
% 0.17/0.47 # Current number of archived clauses : 90
% 0.17/0.47 # Clause-clause subsumption calls (NU) : 182
% 0.17/0.47 # Rec. Clause-clause subsumption calls : 116
% 0.17/0.47 # Non-unit clause-clause subsumptions : 0
% 0.17/0.47 # Unit Clause-clause subsumption calls : 43
% 0.17/0.47 # Rewrite failures with RHS unbound : 0
% 0.17/0.47 # BW rewrite match attempts : 9
% 0.17/0.47 # BW rewrite match successes : 1
% 0.17/0.47 # Condensation attempts : 0
% 0.17/0.47 # Condensation successes : 0
% 0.17/0.47 # Termbank termtop insertions : 7859
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.013 s
% 0.17/0.47 # System time : 0.003 s
% 0.17/0.47 # Total time : 0.017 s
% 0.17/0.47 # Maximum resident set size: 2088 pages
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.015 s
% 0.17/0.47 # System time : 0.007 s
% 0.17/0.47 # Total time : 0.022 s
% 0.17/0.47 # Maximum resident set size: 1804 pages
% 0.17/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------