%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV077+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 02:53:39 PM UTC 2026
% Result : Theorem 0.14s 0.60s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 61 ( 10 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 79 ( 30 ~; 20 |; 20 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0018,conjecture,
( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0018) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(c_0_2,negated_conjecture,
~ ( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_array_0018]) ).
fof(c_0_3,negated_conjecture,
~ ( ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) )
=> ( ( n0 = pv40
=> true )
& ( n0 != pv40
=> ( leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
( ( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ true )
& ( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| n0 = pv40 )
& ( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| n0 != pv40
| ~ true )
& ( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| n0 != pv40
| n0 = pv40 )
& leq(pv31,minus(n5,n1))
& leq(n0,pv31) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_5,negated_conjecture,
( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ true ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( ~ leq(pv31,minus(n5,n1))
| ~ leq(n0,pv31)
| ~ true ),
inference(cn,[status(thm)],[c_0_5]) ).
cnf(c_0_7,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]) ).
cnf(c_0_8,negated_conjecture,
leq(n0,pv31),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
leq(pv31,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
~ leq(pv31,minus(n5,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV077+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.53 % Computer : n001.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Mon Sep 21 08:35:14 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.53 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.57 Running first-order theorem proving
% 0.14/0.57 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/0.60 % Version: 3.5.1
% 0.14/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.60 % Starting sh5l with 300s (1) cores
% 0.14/0.60 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2688262 completed with status 0
% 0.14/0.60 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.60 % No SInE strategy applied
% 0.14/0.60 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.14/0.60 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.60 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.60 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.14/0.60 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.14/0.60 % G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with pid 2688273 completed with status 0
% 0.14/0.60 % Result found by G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.14/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.60 % No SInE strategy applied
% 0.14/0.60 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.14/0.60 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.60 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.60 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.14/0.60 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.14/0.60 % Preprocessing time : 0.003 s
% 0.14/0.60 % Presaturation interreduction done
% 0.14/0.60
% 0.14/0.60 % Proof found!
% 0.14/0.60 % SZS status Theorem
% 0.14/0.60 % SZS output start CNFRefutation
% See solution above
% 0.14/0.60 % Parsed axioms : 85
% 0.14/0.60 % Removed by relevancy pruning/SinE : 0
% 0.14/0.60 % Initial clauses : 198
% 0.14/0.60 % Removed in clause preprocessing : 3
% 0.14/0.60 % Initial clauses in saturation : 195
% 0.14/0.60 % Processed clauses : 4
% 0.14/0.60 % ...of these trivial : 0
% 0.14/0.60 % ...subsumed : 0
% 0.14/0.60 % ...remaining for further processing : 3
% 0.14/0.60 % Other redundant clauses eliminated : 0
% 0.14/0.60 % Clauses deleted for lack of memory : 0
% 0.14/0.60 % Backward-subsumed : 0
% 0.14/0.60 % Backward-rewritten : 0
% 0.14/0.60 % Generated clauses : 0
% 0.14/0.60 % ...of the previous two non-redundant : 0
% 0.14/0.60 % ...aggressively subsumed : 0
% 0.14/0.60 % Contextual simplify-reflections : 0
% 0.14/0.60 % Paramodulations : 0
% 0.14/0.60 % Factorizations : 0
% 0.14/0.60 % NegExts : 0
% 0.14/0.60 % Equation resolutions : 0
% 0.14/0.60 % Disequality decompositions : 0
% 0.14/0.60 % Total rewrite steps : 2
% 0.14/0.60 % ...of those cached : 0
% 0.14/0.60 % Propositional unsat checks : 0
% 0.14/0.60 % Propositional check models : 0
% 0.14/0.60 % Propositional check unsatisfiable : 0
% 0.14/0.60 % Propositional clauses : 0
% 0.14/0.60 % Propositional clauses after purity: 0
% 0.14/0.60 % Propositional unsat core size : 0
% 0.14/0.60 % Propositional preprocessing time : 0.000
% 0.14/0.60 % Propositional encoding time : 0.000
% 0.14/0.60 % Propositional solver time : 0.000
% 0.14/0.60 % Success case prop preproc time : 0.000
% 0.14/0.60 % Success case prop encoding time : 0.000
% 0.14/0.60 % Success case prop solver time : 0.000
% 0.14/0.60 % Current number of processed clauses : 3
% 0.14/0.60 % Positive orientable unit clauses : 2
% 0.14/0.60 % Positive unorientable unit clauses: 0
% 0.14/0.60 % Negative unit clauses : 1
% 0.14/0.60 % Non-unit-clauses : 0
% 0.14/0.60 % Current number of unprocessed clauses: 191
% 0.14/0.60 % ...number of literals in the above : 807
% 0.14/0.60 % Current number of archived formulas : 0
% 0.14/0.60 % Current number of archived clauses : 2
% 0.14/0.60 % Clause-clause subsumption calls (NU) : 0
% 0.14/0.60 % Rec. Clause-clause subsumption calls : 0
% 0.14/0.60 % Non-unit clause-clause subsumptions : 0
% 0.14/0.60 % Unit Clause-clause subsumption calls : 0
% 0.14/0.60 % Rewrite failures with RHS unbound : 0
% 0.14/0.60 % BW rewrite match attempts : 0
% 0.14/0.60 % BW rewrite match successes : 0
% 0.14/0.60 % Condensation attempts : 0
% 0.14/0.60 % Condensation successes : 0
% 0.14/0.60 % Termbank termtop insertions : 13175
% 0.14/0.60 % Search garbage collected termcells : 2198
% 0.14/0.60
% 0.14/0.60 % -------------------------------------------------
% 0.14/0.60 % User time : 0.008 s
% 0.14/0.60 % System time : 0.003 s
% 0.14/0.60 % Total time : 0.011 s
% 0.14/0.60 % Maximum resident set size: 4248 pages
% 0.14/0.60
% 0.14/0.60 % -------------------------------------------------
% 0.14/0.60 % User time : 0.025 s
% 0.14/0.60 % System time : 0.015 s
% 0.14/0.60 % Total time : 0.040 s
% 0.14/0.60 % Maximum resident set size: 4864 pages
% 0.14/0.60 % E exiting
%------------------------------------------------------------------------------