%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV181+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 : n010.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 02:53:54 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 178 ( 35 equ)
% Maximal formula atoms : 31 ( 6 avg)
% Number of connectives : 192 ( 42 ~; 35 |; 68 &)
% ( 1 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0081,conjecture,
( ( ( gt(loopcounter,n0)
=> ! [X22] :
( ( leq(X22,n4)
& leq(n0,X22) )
=> a_select2(sigma_init,X22) = init ) )
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> a_select2(rho_init,X21) = init ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> a_select2(mu_init,X20) = init ) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> a_select3(center_init,X4,n0) = init )
& ! [X14] :
( ( leq(X14,n135299)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> a_select3(q_init,X14,X18) = init ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> a_select2(muold_init,X28) = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0081) ).
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(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(transitivity_gt,axiom,
! [X1,X2,X3] :
( ( gt(X2,X3)
& gt(X1,X2) )
=> gt(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
fof(c_0_4,plain,
( epred1_0
<=> ( ( gt(loopcounter,n0)
=> ! [X22] :
( ( leq(X22,n4)
& leq(n0,X22) )
=> a_select2(sigma_init,X22) = init ) )
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> a_select2(rho_init,X21) = init ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> a_select2(mu_init,X20) = init ) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> a_select3(center_init,X4,n0) = init )
& ! [X14] :
( ( leq(X14,n135299)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> a_select3(q_init,X14,X18) = init ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ) ),
introduced(definition) ).
fof(c_0_5,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> ! [X22] :
( ( leq(X22,n4)
& leq(n0,X22) )
=> a_select2(sigma_init,X22) = init ) )
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> a_select2(rho_init,X21) = init ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> a_select2(mu_init,X20) = init ) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> a_select3(center_init,X4,n0) = init )
& ! [X14] :
( ( leq(X14,n135299)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> a_select3(q_init,X14,X18) = init ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> a_select2(muold_init,X28) = init ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_init_0081]) ).
fof(c_0_6,plain,
( epred1_0
=> ( ( gt(loopcounter,n0)
=> ! [X22] :
( ( leq(X22,n4)
& leq(n0,X22) )
=> a_select2(sigma_init,X22) = init ) )
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> a_select2(rho_init,X21) = init ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> a_select2(mu_init,X20) = init ) )
& ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> a_select3(center_init,X4,n0) = init )
& ! [X14] :
( ( leq(X14,n135299)
& leq(n0,X14) )
=> ! [X18] :
( ( leq(X18,n4)
& leq(n0,X18) )
=> a_select3(q_init,X14,X18) = init ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ) ),
inference(split_equiv,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
~ ( epred1_0
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> a_select2(muold_init,X28) = init ) ),
inference(apply_def,[status(thm)],[c_0_5,c_0_4]) ).
fof(c_0_8,plain,
! [X69,X70,X71,X72,X73,X74] :
( ( ~ epred1_0
| a_select2(sigma_init,X74) = init
| ~ leq(X74,n4)
| ~ leq(n0,X74)
| ~ gt(loopcounter,n0) )
& ( ~ epred1_0
| a_select2(rho_init,X73) = init
| ~ leq(X73,n4)
| ~ leq(n0,X73)
| ~ gt(loopcounter,n0) )
& ( ~ epred1_0
| a_select2(mu_init,X72) = init
| ~ leq(X72,n4)
| ~ leq(n0,X72)
| ~ gt(loopcounter,n0) )
& ( ~ epred1_0
| a_select3(center_init,X71,n0) = init
| ~ leq(X71,n4)
| ~ leq(n0,X71) )
& ( ~ epred1_0
| a_select3(q_init,X69,X70) = init
| ~ leq(X70,n4)
| ~ leq(n0,X70)
| ~ leq(X69,n135299)
| ~ leq(n0,X69) )
& ( ~ epred1_0
| gt(n1,loopcounter) )
& ( ~ epred1_0
| leq(n1,loopcounter) )
& ( ~ epred1_0
| leq(tptp_float_0_001,pv76) ) ),
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_6])])])])]) ).
fof(c_0_9,negated_conjecture,
( a_select2(muold_init,esk1_0) != init
& leq(esk1_0,n4)
& 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_7])])])]) ).
fof(c_0_10,plain,
! [X1,X2] :
( ( X1 != X2
& leq(X1,X2) )
=> gt(X2,X1) ),
inference(fof_simplification,[status(thm)],[leq_gt2]) ).
fof(c_0_11,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_12,plain,
! [X53,X54,X55] :
( gt(X53,X55)
| ~ gt(X54,X55)
| ~ gt(X53,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])])]) ).
cnf(c_0_13,plain,
( ~ epred1_0
| gt(n1,loopcounter) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,plain,
! [X36,X37] :
( gt(X37,X36)
| X36 = X37
| ~ leq(X36,X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_16,plain,
( ~ epred1_0
| leq(n1,loopcounter) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
! [X56] : ~ gt(X56,X56),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
cnf(c_0_18,plain,
( ~ gt(X2,X3)
| ~ gt(X1,X2)
| gt(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
gt(n1,loopcounter),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_20,plain,
( ~ leq(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
leq(n1,loopcounter),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14])]) ).
cnf(c_0_22,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( ~ gt(X1,n1)
| gt(X1,loopcounter) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( gt(loopcounter,n1)
| loopcounter = n1 ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
~ gt(loopcounter,n1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
loopcounter = n1,
inference(sr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_26]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV181+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 08:34:11 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.44 % Version: 3.5.1
% 0.10/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % Starting sh5l with 300s (1) cores
% 0.10/0.44 % new_bool_1 with pid 488976 completed with status 0
% 0.10/0.44 % Result found by new_bool_1
% 0.10/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.44 % Search class: FGUSM-FFMM32-MFFFFFNN
% 0.10/0.44 % partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.10/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.44 % SubtermCWHack with pid 488979 completed with status 0
% 0.10/0.44 % Result found by SubtermCWHack
% 0.10/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.44 % Search class: FGUSM-FFMM32-MFFFFFNN
% 0.10/0.44 % partial match(1): FGHSM-FFMM32-MFFFFFNN
% 0.10/0.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.44 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.44 % Preprocessing time : 0.002 s
% 0.10/0.44
% 0.10/0.44 % Proof found!
% 0.10/0.44 % SZS status Theorem
% 0.10/0.44 % SZS output start CNFRefutation
% See solution above
% 0.10/0.44 % Parsed axioms : 92
% 0.10/0.44 % Removed by relevancy pruning/SinE : 29
% 0.10/0.44 % Initial clauses : 76
% 0.10/0.44 % Removed in clause preprocessing : 0
% 0.10/0.44 % Initial clauses in saturation : 76
% 0.10/0.44 % Processed clauses : 315
% 0.10/0.44 % ...of these trivial : 0
% 0.10/0.44 % ...subsumed : 97
% 0.10/0.44 % ...remaining for further processing : 218
% 0.10/0.44 % Other redundant clauses eliminated : 0
% 0.10/0.44 % Clauses deleted for lack of memory : 0
% 0.10/0.44 % Backward-subsumed : 1
% 0.10/0.44 % Backward-rewritten : 23
% 0.10/0.44 % Generated clauses : 832
% 0.10/0.44 % ...of the previous two non-redundant : 485
% 0.10/0.44 % ...aggressively subsumed : 0
% 0.10/0.44 % Contextual simplify-reflections : 0
% 0.10/0.44 % Paramodulations : 829
% 0.10/0.44 % Factorizations : 2
% 0.10/0.44 % NegExts : 0
% 0.10/0.44 % Equation resolutions : 0
% 0.10/0.44 % Disequality decompositions : 0
% 0.10/0.44 % Total rewrite steps : 491
% 0.10/0.44 % ...of those cached : 433
% 0.10/0.44 % Propositional unsat checks : 0
% 0.10/0.44 % Propositional check models : 0
% 0.10/0.44 % Propositional check unsatisfiable : 0
% 0.10/0.44 % Propositional clauses : 0
% 0.10/0.44 % Propositional clauses after purity: 0
% 0.10/0.44 % Propositional unsat core size : 0
% 0.10/0.44 % Propositional preprocessing time : 0.000
% 0.10/0.44 % Propositional encoding time : 0.000
% 0.10/0.44 % Propositional solver time : 0.000
% 0.10/0.44 % Success case prop preproc time : 0.000
% 0.10/0.44 % Success case prop encoding time : 0.000
% 0.10/0.44 % Success case prop solver time : 0.000
% 0.10/0.44 % Current number of processed clauses : 193
% 0.10/0.44 % Positive orientable unit clauses : 74
% 0.10/0.44 % Positive unorientable unit clauses: 0
% 0.10/0.44 % Negative unit clauses : 30
% 0.10/0.44 % Non-unit-clauses : 89
% 0.10/0.44 % Current number of unprocessed clauses: 242
% 0.10/0.44 % ...number of literals in the above : 668
% 0.10/0.44 % Current number of archived formulas : 0
% 0.10/0.44 % Current number of archived clauses : 25
% 0.10/0.44 % Clause-clause subsumption calls (NU) : 391
% 0.10/0.44 % Rec. Clause-clause subsumption calls : 331
% 0.10/0.44 % Non-unit clause-clause subsumptions : 18
% 0.10/0.44 % Unit Clause-clause subsumption calls : 544
% 0.10/0.44 % Rewrite failures with RHS unbound : 0
% 0.10/0.44 % BW rewrite match attempts : 4
% 0.10/0.44 % BW rewrite match successes : 2
% 0.10/0.44 % Condensation attempts : 0
% 0.10/0.44 % Condensation successes : 0
% 0.10/0.44 % Termbank termtop insertions : 10885
% 0.10/0.44 % Search garbage collected termcells : 767
% 0.10/0.44
% 0.10/0.44 % -------------------------------------------------
% 0.10/0.44 % User time : 0.020 s
% 0.10/0.44 % System time : 0.002 s
% 0.10/0.44 % Total time : 0.022 s
% 0.10/0.44 % Maximum resident set size: 3748 pages
% 0.10/0.44
% 0.10/0.44 % -------------------------------------------------
% 0.10/0.44 % User time : 0.022 s
% 0.10/0.44 % System time : 0.005 s
% 0.10/0.44 % Total time : 0.026 s
% 0.10/0.44 % Maximum resident set size: 4864 pages
% 0.10/0.44 % E exiting
%------------------------------------------------------------------------------