TSTP Solution File: SWV172+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV172+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 19:56:16 EDT 2023
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 167 ( 38 equ)
% Maximal formula atoms : 45 ( 11 avg)
% Number of connectives : 195 ( 43 ~; 40 |; 72 &)
% ( 1 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0036,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv54,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,n4) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> 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_select2(rho_init,pv54) = init ),
file('/export/starexec/sandbox2/tmp/tmp.YI57YpWwkn/E---3.1_2014.p',cl5_nebula_init_0036) ).
fof(c_0_1,plain,
( epred1_0
<=> ( leq(n0,pv10)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv54,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,n4) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> 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
=> ( leq(n0,pv10)
& leq(n0,pv54)
& leq(pv10,n135299)
& leq(pv54,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,n4) )
=> a_select2(mu_init,X20) = init )
& ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> 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_select2(rho_init,pv54) = init ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0036]),c_0_1]) ).
fof(c_0_4,plain,
! [X69,X70,X71,X72,X73,X74,X75,X76,X77] :
( ( leq(n0,pv10)
| ~ epred1_0 )
& ( leq(n0,pv54)
| ~ epred1_0 )
& ( leq(pv10,n135299)
| ~ epred1_0 )
& ( leq(pv54,n4)
| ~ epred1_0 )
& ( ~ leq(n0,X69)
| ~ leq(X69,n135299)
| ~ leq(n0,X70)
| ~ leq(X70,n4)
| a_select3(q_init,X69,X70) = init
| ~ epred1_0 )
& ( ~ leq(n0,X71)
| ~ leq(X71,n4)
| a_select2(rho_init,X71) = init
| ~ epred1_0 )
& ( ~ leq(n0,X72)
| ~ leq(X72,n4)
| a_select2(mu_init,X72) = init
| ~ epred1_0 )
& ( ~ leq(n0,X73)
| ~ leq(X73,n4)
| a_select2(sigma_init,X73) = init
| ~ epred1_0 )
& ( ~ leq(n0,X74)
| ~ leq(X74,n4)
| a_select3(center_init,X74,n0) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X75)
| ~ leq(X75,n4)
| a_select2(muold_init,X75) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X76)
| ~ leq(X76,n4)
| a_select2(rhoold_init,X76) = init
| ~ epred1_0 )
& ( ~ gt(loopcounter,n1)
| ~ leq(n0,X77)
| ~ leq(X77,n4)
| a_select2(sigmaold_init,X77) = 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_select2(rho_init,pv54) != init ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( a_select2(rho_init,X1) = init
| ~ leq(n0,X1)
| ~ leq(X1,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(pv54,n4)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( leq(n0,pv54)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
a_select2(rho_init,pv54) != init,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( a_select2(rho_init,X1) = init
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_12,plain,
leq(pv54,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).
cnf(c_0_13,plain,
leq(n0,pv54),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_7])]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV172+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 04:14:38 EDT 2023
% 0.11/0.32 % 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.YI57YpWwkn/E---3.1_2014.p
% 0.17/0.45 # Version: 3.1pre001
% 0.17/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # new_bool_1 with pid 2093 completed with status 0
% 0.17/0.45 # Result found by new_bool_1
% 0.17/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.17/0.45 # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.17/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.17/0.45 # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 2095 completed with status 0
% 0.17/0.45 # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.17/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45 # Search class: FGUSM-FFMM32-MFFFFFNN
% 0.17/0.45 # partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.17/0.45 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.17/0.45 # Preprocessing time : 0.004 s
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Theorem
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 92
% 0.17/0.45 # Removed by relevancy pruning/SinE : 29
% 0.17/0.45 # Initial clauses : 78
% 0.17/0.45 # Removed in clause preprocessing : 0
% 0.17/0.45 # Initial clauses in saturation : 78
% 0.17/0.45 # Processed clauses : 41
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 0
% 0.17/0.45 # ...remaining for further processing : 41
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 0
% 0.17/0.45 # Backward-rewritten : 0
% 0.17/0.45 # Generated clauses : 4
% 0.17/0.45 # ...of the previous two non-redundant : 0
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 4
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Total rewrite steps : 11
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 41
% 0.17/0.45 # Positive orientable unit clauses : 38
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 2
% 0.17/0.45 # Non-unit-clauses : 1
% 0.17/0.45 # Current number of unprocessed clauses: 37
% 0.17/0.45 # ...number of literals in the above : 105
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 0
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45 # Non-unit clause-clause subsumptions : 0
% 0.17/0.45 # Unit Clause-clause subsumption calls : 0
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 2
% 0.17/0.45 # BW rewrite match successes : 0
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 3827
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.004 s
% 0.17/0.45 # System time : 0.004 s
% 0.17/0.45 # Total time : 0.008 s
% 0.17/0.45 # Maximum resident set size: 2088 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.008 s
% 0.17/0.45 # System time : 0.005 s
% 0.17/0.45 # Total time : 0.013 s
% 0.17/0.45 # Maximum resident set size: 1804 pages
% 0.17/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------