%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV168+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:53:52 PM UTC 2026
% Result : Theorem 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 217 ( 52 equ)
% Maximal formula atoms : 47 ( 10 avg)
% Number of connectives : 248 ( 51 ~; 47 |; 97 &)
% ( 1 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 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 : 49 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0016,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> a_select2(sigmaold_init,X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(X29,n4)
& leq(n0,X29) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> a_select2(muold_init,X28) = init ) )
& ! [X22] :
( ( leq(X22,n4)
& leq(n0,X22) )
=> a_select3(center_init,X22,n0) = init )
& ! [X21] :
( ( leq(X21,pred(pv40))
& leq(n0,X21) )
=> a_select2(sigma_init,X21) = init )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> a_select2(mu_init,X20) = init )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> a_select2(rho_init,X4) = init )
& ! [X14] :
( ( leq(X14,n135299)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> a_select3(q_init,X14,X18) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> a_select3(q_init,pv46,pv40) = init ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0016) ).
fof(c_0_1,plain,
( epred1_0
<=> ( ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> a_select2(sigmaold_init,X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(X29,n4)
& leq(n0,X29) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> a_select2(muold_init,X28) = init ) )
& ! [X22] :
( ( leq(X22,n4)
& leq(n0,X22) )
=> a_select3(center_init,X22,n0) = init )
& ! [X21] :
( ( leq(X21,pred(pv40))
& leq(n0,X21) )
=> a_select2(sigma_init,X21) = init )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> a_select2(mu_init,X20) = init )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> a_select2(rho_init,X4) = init )
& ! [X14] :
( ( leq(X14,n135299)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> a_select3(q_init,X14,X18) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> a_select2(sigmaold_init,X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(X29,n4)
& leq(n0,X29) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> a_select2(muold_init,X28) = init ) )
& ! [X22] :
( ( leq(X22,n4)
& leq(n0,X22) )
=> a_select3(center_init,X22,n0) = init )
& ! [X21] :
( ( leq(X21,pred(pv40))
& leq(n0,X21) )
=> a_select2(sigma_init,X21) = init )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> a_select2(mu_init,X20) = init )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> a_select2(rho_init,X4) = init )
& ! [X14] :
( ( leq(X14,n135299)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> a_select3(q_init,X14,X18) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init )
=> a_select3(q_init,pv46,pv40) = init ),
inference(assume_negation,[status(cth)],[cl5_nebula_init_0016]) ).
fof(c_0_3,plain,
( epred1_0
=> ( ( gt(loopcounter,n1)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> a_select2(sigmaold_init,X5) = init ) )
& ( gt(loopcounter,n1)
=> ! [X29] :
( ( leq(X29,n4)
& leq(n0,X29) )
=> a_select2(rhoold_init,X29) = init ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> a_select2(muold_init,X28) = init ) )
& ! [X22] :
( ( leq(X22,n4)
& leq(n0,X22) )
=> a_select3(center_init,X22,n0) = init )
& ! [X21] :
( ( leq(X21,pred(pv40))
& leq(n0,X21) )
=> a_select2(sigma_init,X21) = init )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> a_select2(mu_init,X20) = init )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> a_select2(rho_init,X4) = init )
& ! [X14] :
( ( leq(X14,n135299)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> a_select3(q_init,X14,X18) = init ) )
& leq(pv46,n135299)
& leq(pv40,n4)
& leq(n0,pv46)
& leq(n0,pv40)
& a_select2(mu_init,pv40) = init ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_4,negated_conjecture,
~ ( epred1_0
=> a_select3(q_init,pv46,pv40) = init ),
inference(apply_def,[status(thm)],[c_0_2,c_0_1]) ).
fof(c_0_5,plain,
! [X73,X74,X75,X76,X77,X78,X79,X80,X81] :
( ( ~ epred1_0
| a_select2(sigmaold_init,X81) = init
| ~ leq(X81,n4)
| ~ leq(n0,X81)
| ~ gt(loopcounter,n1) )
& ( ~ epred1_0
| a_select2(rhoold_init,X80) = init
| ~ leq(X80,n4)
| ~ leq(n0,X80)
| ~ gt(loopcounter,n1) )
& ( ~ epred1_0
| a_select2(muold_init,X79) = init
| ~ leq(X79,n4)
| ~ leq(n0,X79)
| ~ gt(loopcounter,n1) )
& ( ~ epred1_0
| a_select3(center_init,X78,n0) = init
| ~ leq(X78,n4)
| ~ leq(n0,X78) )
& ( ~ epred1_0
| a_select2(sigma_init,X77) = init
| ~ leq(X77,pred(pv40))
| ~ leq(n0,X77) )
& ( ~ epred1_0
| a_select2(mu_init,X76) = init
| ~ leq(X76,pred(pv40))
| ~ leq(n0,X76) )
& ( ~ epred1_0
| a_select2(rho_init,X75) = init
| ~ leq(X75,n4)
| ~ leq(n0,X75) )
& ( ~ epred1_0
| a_select3(q_init,X73,X74) = init
| ~ leq(X74,n4)
| ~ leq(n0,X74)
| ~ leq(X73,n135299)
| ~ leq(n0,X73) )
& ( ~ epred1_0
| leq(pv46,n135299) )
& ( ~ epred1_0
| leq(pv40,n4) )
& ( ~ epred1_0
| leq(n0,pv46) )
& ( ~ epred1_0
| leq(n0,pv40) )
& ( ~ epred1_0
| a_select2(mu_init,pv40) = init ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_6,negated_conjecture,
( a_select3(q_init,pv46,pv40) != init
& epred1_0 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
cnf(c_0_7,plain,
( ~ epred1_0
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ leq(X1,n135299)
| ~ leq(n0,X1)
| a_select3(q_init,X1,X2) = init ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( ~ epred1_0
| leq(pv40,n4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( ~ epred1_0
| leq(pv46,n135299) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( ~ epred1_0
| leq(n0,pv40) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( ~ epred1_0
| leq(n0,pv46) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
a_select3(q_init,pv46,pv40) != init,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n135299)
| ~ leq(X2,n4)
| a_select3(q_init,X1,X2) = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_15,plain,
leq(pv40,n4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8])]) ).
cnf(c_0_16,plain,
leq(pv46,n135299),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_8])]) ).
cnf(c_0_17,plain,
leq(n0,pv40),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8])]) ).
cnf(c_0_18,plain,
leq(n0,pv46),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_8])]) ).
cnf(c_0_19,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_13,c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV168+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:35:15 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.48 % Version: 3.5.1
% 0.13/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.48 % Starting sh5l with 300s (1) cores
% 0.13/0.48 % new_bool_3 with pid 3868989 completed with status 0
% 0.13/0.48 % Result found by new_bool_3
% 0.13/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.48 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.13/0.48 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.13/0.48 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.13/0.48 % SubtermCWHack with pid 3868992 completed with status 0
% 0.13/0.48 % Result found by SubtermCWHack
% 0.13/0.48 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.48 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.48 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.13/0.48 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.13/0.48 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.13/0.48 % Preprocessing time : 0.002 s
% 0.13/0.48
% 0.13/0.48 % Proof found!
% 0.13/0.48 % SZS status Theorem
% 0.13/0.48 % SZS output start CNFRefutation
% See solution above
% 0.13/0.48 % Parsed axioms : 92
% 0.13/0.48 % Removed by relevancy pruning/SinE : 26
% 0.13/0.48 % Initial clauses : 83
% 0.13/0.48 % Removed in clause preprocessing : 0
% 0.13/0.48 % Initial clauses in saturation : 83
% 0.13/0.48 % Processed clauses : 396
% 0.13/0.48 % ...of these trivial : 6
% 0.13/0.48 % ...subsumed : 172
% 0.13/0.48 % ...remaining for further processing : 218
% 0.13/0.48 % Other redundant clauses eliminated : 0
% 0.13/0.48 % Clauses deleted for lack of memory : 0
% 0.13/0.48 % Backward-subsumed : 0
% 0.13/0.48 % Backward-rewritten : 7
% 0.13/0.48 % Generated clauses : 731
% 0.13/0.48 % ...of the previous two non-redundant : 532
% 0.13/0.48 % ...aggressively subsumed : 0
% 0.13/0.48 % Contextual simplify-reflections : 0
% 0.13/0.48 % Paramodulations : 729
% 0.13/0.48 % Factorizations : 2
% 0.13/0.48 % NegExts : 0
% 0.13/0.48 % Equation resolutions : 0
% 0.13/0.48 % Disequality decompositions : 0
% 0.13/0.48 % Total rewrite steps : 506
% 0.13/0.48 % ...of those cached : 432
% 0.13/0.48 % Propositional unsat checks : 0
% 0.13/0.48 % Propositional check models : 0
% 0.13/0.48 % Propositional check unsatisfiable : 0
% 0.13/0.48 % Propositional clauses : 0
% 0.13/0.48 % Propositional clauses after purity: 0
% 0.13/0.48 % Propositional unsat core size : 0
% 0.13/0.48 % Propositional preprocessing time : 0.000
% 0.13/0.48 % Propositional encoding time : 0.000
% 0.13/0.48 % Propositional solver time : 0.000
% 0.13/0.48 % Success case prop preproc time : 0.000
% 0.13/0.48 % Success case prop encoding time : 0.000
% 0.13/0.48 % Success case prop solver time : 0.000
% 0.13/0.48 % Current number of processed clauses : 211
% 0.13/0.48 % Positive orientable unit clauses : 107
% 0.13/0.48 % Positive unorientable unit clauses: 0
% 0.13/0.48 % Negative unit clauses : 58
% 0.13/0.48 % Non-unit-clauses : 46
% 0.13/0.48 % Current number of unprocessed clauses: 219
% 0.13/0.48 % ...number of literals in the above : 521
% 0.13/0.48 % Current number of archived formulas : 0
% 0.13/0.48 % Current number of archived clauses : 7
% 0.13/0.48 % Clause-clause subsumption calls (NU) : 242
% 0.13/0.48 % Rec. Clause-clause subsumption calls : 173
% 0.13/0.48 % Non-unit clause-clause subsumptions : 15
% 0.13/0.48 % Unit Clause-clause subsumption calls : 841
% 0.13/0.48 % Rewrite failures with RHS unbound : 0
% 0.13/0.48 % BW rewrite match attempts : 2
% 0.13/0.48 % BW rewrite match successes : 1
% 0.13/0.48 % Condensation attempts : 0
% 0.13/0.48 % Condensation successes : 0
% 0.13/0.48 % Termbank termtop insertions : 10529
% 0.13/0.48 % Search garbage collected termcells : 815
% 0.13/0.48
% 0.13/0.48 % -------------------------------------------------
% 0.13/0.48 % User time : 0.019 s
% 0.13/0.48 % System time : 0.006 s
% 0.13/0.48 % Total time : 0.024 s
% 0.13/0.48 % Maximum resident set size: 4268 pages
% 0.13/0.48
% 0.13/0.48 % -------------------------------------------------
% 0.13/0.48 % User time : 0.025 s
% 0.13/0.48 % System time : 0.013 s
% 0.13/0.48 % Total time : 0.037 s
% 0.13/0.48 % Maximum resident set size: 4864 pages
% 0.13/0.48 % E exiting
%------------------------------------------------------------------------------