%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV167+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 : n020.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 03:00:43 PM UTC 2026
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 233 ( 65 equ)
% Maximal formula atoms : 45 ( 8 avg)
% Number of connectives : 260 ( 53 ~; 48 |; 100 &)
% ( 2 <=>; 57 =>; 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 : 65 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0011,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(pv40,n4)
& leq(n0,pv40)
& a_select2(sigma_init,pv40) = init
& a_select2(mu_init,pv40) = init )
=> ! [X11] :
( ( leq(X11,pv40)
& leq(n0,X11) )
=> a_select2(mu_init,X11) = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0011) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(leq_gt2,axiom,
! [X1,X2] :
( ( X1 != X2
& leq(X1,X2) )
=> gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
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(pv40,n4)
& leq(n0,pv40)
& a_select2(sigma_init,pv40) = init
& a_select2(mu_init,pv40) = init ) ),
introduced(definition) ).
fof(c_0_4,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(pv40,n4)
& leq(n0,pv40)
& a_select2(sigma_init,pv40) = init
& a_select2(mu_init,pv40) = init )
=> ! [X11] :
( ( leq(X11,pv40)
& leq(n0,X11) )
=> a_select2(mu_init,X11) = init ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_init_0011]) ).
fof(c_0_5,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(pv40,n4)
& leq(n0,pv40)
& a_select2(sigma_init,pv40) = init
& a_select2(mu_init,pv40) = init ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
~ ( epred1_0
=> ! [X11] :
( ( leq(X11,pv40)
& leq(n0,X11) )
=> a_select2(mu_init,X11) = init ) ),
inference(apply_def,[status(thm)],[c_0_4,c_0_3]) ).
fof(c_0_7,plain,
! [X74,X75,X76,X77,X78,X79,X80,X81,X82] :
( ( ~ epred1_0
| a_select2(sigmaold_init,X82) = init
| ~ leq(X82,n4)
| ~ leq(n0,X82)
| ~ gt(loopcounter,n1) )
& ( ~ epred1_0
| a_select2(rhoold_init,X81) = init
| ~ leq(X81,n4)
| ~ leq(n0,X81)
| ~ gt(loopcounter,n1) )
& ( ~ epred1_0
| a_select2(muold_init,X80) = init
| ~ leq(X80,n4)
| ~ leq(n0,X80)
| ~ gt(loopcounter,n1) )
& ( ~ epred1_0
| a_select3(center_init,X79,n0) = init
| ~ leq(X79,n4)
| ~ leq(n0,X79) )
& ( ~ epred1_0
| a_select2(sigma_init,X78) = init
| ~ leq(X78,pred(pv40))
| ~ leq(n0,X78) )
& ( ~ epred1_0
| a_select2(mu_init,X77) = init
| ~ leq(X77,pred(pv40))
| ~ leq(n0,X77) )
& ( ~ epred1_0
| a_select2(rho_init,X76) = init
| ~ leq(X76,n4)
| ~ leq(n0,X76) )
& ( ~ epred1_0
| a_select3(q_init,X74,X75) = init
| ~ leq(X75,n4)
| ~ leq(n0,X75)
| ~ leq(X74,n135299)
| ~ leq(n0,X74) )
& ( ~ epred1_0
| leq(pv40,n4) )
& ( ~ epred1_0
| leq(n0,pv40) )
& ( ~ epred1_0
| a_select2(sigma_init,pv40) = init )
& ( ~ 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_5])])])])]) ).
fof(c_0_8,negated_conjecture,
( a_select2(mu_init,esk1_0) != init
& leq(esk1_0,pv40)
& leq(n0,esk1_0)
& epred1_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_9,plain,
( ~ epred1_0
| ~ leq(X1,pred(pv40))
| ~ leq(n0,X1)
| a_select2(mu_init,X1) = init ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X61,X62] :
( ( leq(X61,pred(X62))
| ~ gt(X62,X61) )
& ( gt(X62,X61)
| ~ leq(X61,pred(X62)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])])]) ).
cnf(c_0_12,plain,
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv40))
| a_select2(mu_init,X1) = init ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_13,plain,
( ~ gt(X1,X2)
| leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X1,X2] :
( ( X1 != X2
& leq(X1,X2) )
=> gt(X2,X1) ),
inference(fof_simplification,[status(thm)],[leq_gt2]) ).
cnf(c_0_15,negated_conjecture,
a_select2(mu_init,esk1_0) != init,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( ~ gt(pv40,X1)
| ~ leq(n0,X1)
| a_select2(mu_init,X1) = init ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_18,plain,
! [X37,X38] :
( gt(X38,X37)
| X37 = X38
| ~ leq(X37,X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_19,negated_conjecture,
~ gt(pv40,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_20,plain,
( ~ leq(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,negated_conjecture,
leq(esk1_0,pv40),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( ~ epred1_0
| a_select2(mu_init,pv40) = init ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
esk1_0 = pv40,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,plain,
a_select2(mu_init,pv40) = init,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_10])]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV167+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 08:34:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.19/0.58 % Version: 3.5.1
% 0.19/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.58 % Starting sh5l with 300s (1) cores
% 0.19/0.58 % new_bool_3 with pid 2504942 completed with status 0
% 0.19/0.58 % Result found by new_bool_3
% 0.19/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.58 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.19/0.58 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.19/0.58 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.58 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.58 % SubtermCWHack with pid 2504946 completed with status 0
% 0.19/0.58 % Result found by SubtermCWHack
% 0.19/0.58 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.58 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.58 % Search class: FGUSM-FFMM31-MFFFFFNN
% 0.19/0.58 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.19/0.58 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.58 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.58 % Preprocessing time : 0.003 s
% 0.19/0.58
% 0.19/0.58 % Proof found!
% 0.19/0.58 % SZS status Theorem
% 0.19/0.58 % SZS output start CNFRefutation
% See solution above
% 0.19/0.58 % Parsed axioms : 92
% 0.19/0.58 % Removed by relevancy pruning/SinE : 26
% 0.19/0.58 % Initial clauses : 84
% 0.19/0.58 % Removed in clause preprocessing : 0
% 0.19/0.58 % Initial clauses in saturation : 84
% 0.19/0.58 % Processed clauses : 1677
% 0.19/0.58 % ...of these trivial : 17
% 0.19/0.58 % ...subsumed : 1040
% 0.19/0.58 % ...remaining for further processing : 620
% 0.19/0.58 % Other redundant clauses eliminated : 0
% 0.19/0.58 % Clauses deleted for lack of memory : 0
% 0.19/0.58 % Backward-subsumed : 0
% 0.19/0.58 % Backward-rewritten : 26
% 0.19/0.58 % Generated clauses : 5986
% 0.19/0.58 % ...of the previous two non-redundant : 3849
% 0.19/0.58 % ...aggressively subsumed : 0
% 0.19/0.58 % Contextual simplify-reflections : 0
% 0.19/0.58 % Paramodulations : 5980
% 0.19/0.58 % Factorizations : 6
% 0.19/0.58 % NegExts : 0
% 0.19/0.58 % Equation resolutions : 0
% 0.19/0.58 % Disequality decompositions : 0
% 0.19/0.58 % Total rewrite steps : 3828
% 0.19/0.58 % ...of those cached : 3623
% 0.19/0.58 % Propositional unsat checks : 0
% 0.19/0.58 % Propositional check models : 0
% 0.19/0.58 % Propositional check unsatisfiable : 0
% 0.19/0.58 % Propositional clauses : 0
% 0.19/0.58 % Propositional clauses after purity: 0
% 0.19/0.58 % Propositional unsat core size : 0
% 0.19/0.58 % Propositional preprocessing time : 0.000
% 0.19/0.58 % Propositional encoding time : 0.000
% 0.19/0.58 % Propositional solver time : 0.000
% 0.19/0.58 % Success case prop preproc time : 0.000
% 0.19/0.58 % Success case prop encoding time : 0.000
% 0.19/0.58 % Success case prop solver time : 0.000
% 0.19/0.58 % Current number of processed clauses : 594
% 0.19/0.58 % Positive orientable unit clauses : 206
% 0.19/0.58 % Positive unorientable unit clauses: 0
% 0.19/0.58 % Negative unit clauses : 159
% 0.19/0.58 % Non-unit-clauses : 229
% 0.19/0.58 % Current number of unprocessed clauses: 2244
% 0.19/0.58 % ...number of literals in the above : 5980
% 0.19/0.58 % Current number of archived formulas : 0
% 0.19/0.58 % Current number of archived clauses : 26
% 0.19/0.58 % Clause-clause subsumption calls (NU) : 4632
% 0.19/0.58 % Rec. Clause-clause subsumption calls : 4320
% 0.19/0.58 % Non-unit clause-clause subsumptions : 129
% 0.19/0.58 % Unit Clause-clause subsumption calls : 5831
% 0.19/0.58 % Rewrite failures with RHS unbound : 0
% 0.19/0.58 % BW rewrite match attempts : 101
% 0.19/0.58 % BW rewrite match successes : 2
% 0.19/0.58 % Condensation attempts : 0
% 0.19/0.58 % Condensation successes : 0
% 0.19/0.58 % Termbank termtop insertions : 52904
% 0.19/0.58 % Search garbage collected termcells : 846
% 0.19/0.58
% 0.19/0.58 % -------------------------------------------------
% 0.19/0.58 % User time : 0.121 s
% 0.19/0.58 % System time : 0.007 s
% 0.19/0.58 % Total time : 0.128 s
% 0.19/0.58 % Maximum resident set size: 4012 pages
% 0.19/0.58
% 0.19/0.58 % -------------------------------------------------
% 0.19/0.58 % User time : 0.125 s
% 0.19/0.58 % System time : 0.016 s
% 0.19/0.58 % Total time : 0.140 s
% 0.19/0.58 % Maximum resident set size: 4864 pages
% 0.19/0.58 % E exiting
%------------------------------------------------------------------------------