%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM604+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:55:40 PM UTC 2026
% Result : Theorem 1.67s 0.97s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 36 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 32 ( 11 ~; 7 |; 11 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__5045,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5045) ).
fof(m__4660,hypothesis,
( ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(m__5034,hypothesis,
( sdtlpdtrp0(xe,xi) = xx
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).
fof(c_0_4,negated_conjecture,
~ aElementOf0(xx,xS),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,hypothesis,
! [X255] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ( aElementOf0(X255,xS)
| ~ aElementOf0(X255,sdtlpdtrp0(xN,xi)) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5045])])])]) ).
fof(c_0_7,hypothesis,
! [X235,X236] :
( ( ~ aElementOf0(X235,szNzAzT0)
| sdtlpdtrp0(xe,X235) = szmzizndt0(sdtlpdtrp0(xN,X235)) )
& ( ~ aElementOf0(X235,szNzAzT0)
| sdtlseqdt0(sdtlpdtrp0(xe,X235),X236)
| ~ aElementOf0(X236,sdtlpdtrp0(xN,X235)) )
& ( ~ aElementOf0(X235,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X235),sdtlpdtrp0(xN,X235)) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])])]) ).
fof(c_0_8,negated_conjecture,
~ aElementOf0(xx,xS),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
| aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
sdtlpdtrp0(xe,xi) = xx,
inference(split_conjunct,[status(thm)],[m__5034]) ).
cnf(c_0_12,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5034]) ).
cnf(c_0_13,negated_conjecture,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM604+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n026.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 02:46:51 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.48 Running first-order theorem proving
% 0.24/0.48 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
% 1.67/0.97 % Version: 3.5.1
% 1.67/0.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.67/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.67/0.97 % Starting new_bool_3 with 300s (1) cores
% 1.67/0.97 % Starting new_bool_1 with 300s (1) cores
% 1.67/0.97 % Starting sh5l with 300s (1) cores
% 1.67/0.97 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1200403 completed with status 0
% 1.67/0.97 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.67/0.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.67/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.67/0.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.67/0.97 % No SInE strategy applied
% 1.67/0.97 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.67/0.97 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.67/0.97 % Starting SubtermCWHack with 136s (1) cores
% 1.67/0.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.67/0.97 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 1.67/0.97 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.67/0.97 % Starting new_bool_3 with 136s (1) cores
% 1.67/0.97 % SubtermCWHack with pid 1200407 completed with status 0
% 1.67/0.97 % Result found by SubtermCWHack
% 1.67/0.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.67/0.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.67/0.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.67/0.97 % No SInE strategy applied
% 1.67/0.97 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.67/0.97 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.67/0.97 % Starting SubtermCWHack with 136s (1) cores
% 1.67/0.97 % Preprocessing time : 0.161 s
% 1.67/0.97
% 1.67/0.97 % Proof found!
% 1.67/0.97 % SZS status Theorem
% 1.67/0.97 % SZS output start CNFRefutation
% See solution above
% 1.67/0.97 % Parsed axioms : 101
% 1.67/0.97 % Removed by relevancy pruning/SinE : 0
% 1.67/0.97 % Initial clauses : 4882
% 1.67/0.97 % Removed in clause preprocessing : 7
% 1.67/0.97 % Initial clauses in saturation : 4875
% 1.67/0.97 % Processed clauses : 224
% 1.67/0.97 % ...of these trivial : 2
% 1.67/0.97 % ...subsumed : 23
% 1.67/0.97 % ...remaining for further processing : 199
% 1.67/0.97 % Other redundant clauses eliminated : 11
% 1.67/0.97 % Clauses deleted for lack of memory : 0
% 1.67/0.97 % Backward-subsumed : 2
% 1.67/0.97 % Backward-rewritten : 0
% 1.67/0.97 % Generated clauses : 195
% 1.67/0.97 % ...of the previous two non-redundant : 153
% 1.67/0.97 % ...aggressively subsumed : 0
% 1.67/0.97 % Contextual simplify-reflections : 4
% 1.67/0.97 % Paramodulations : 184
% 1.67/0.97 % Factorizations : 0
% 1.67/0.97 % NegExts : 0
% 1.67/0.97 % Equation resolutions : 11
% 1.67/0.97 % Disequality decompositions : 0
% 1.67/0.97 % Total rewrite steps : 154
% 1.67/0.97 % ...of those cached : 121
% 1.67/0.97 % Propositional unsat checks : 0
% 1.67/0.97 % Propositional check models : 0
% 1.67/0.97 % Propositional check unsatisfiable : 0
% 1.67/0.97 % Propositional clauses : 0
% 1.67/0.97 % Propositional clauses after purity: 0
% 1.67/0.97 % Propositional unsat core size : 0
% 1.67/0.97 % Propositional preprocessing time : 0.000
% 1.67/0.97 % Propositional encoding time : 0.000
% 1.67/0.97 % Propositional solver time : 0.000
% 1.67/0.97 % Success case prop preproc time : 0.000
% 1.67/0.97 % Success case prop encoding time : 0.000
% 1.67/0.97 % Success case prop solver time : 0.000
% 1.67/0.97 % Current number of processed clauses : 187
% 1.67/0.97 % Positive orientable unit clauses : 61
% 1.67/0.97 % Positive unorientable unit clauses: 0
% 1.67/0.97 % Negative unit clauses : 17
% 1.67/0.97 % Non-unit-clauses : 109
% 1.67/0.97 % Current number of unprocessed clauses: 4802
% 1.67/0.97 % ...number of literals in the above : 55898
% 1.67/0.97 % Current number of archived formulas : 0
% 1.67/0.97 % Current number of archived clauses : 2
% 1.67/0.97 % Clause-clause subsumption calls (NU) : 2365
% 1.67/0.97 % Rec. Clause-clause subsumption calls : 1912
% 1.67/0.97 % Non-unit clause-clause subsumptions : 10
% 1.67/0.97 % Unit Clause-clause subsumption calls : 414
% 1.67/0.97 % Rewrite failures with RHS unbound : 0
% 1.67/0.97 % BW rewrite match attempts : 2
% 1.67/0.97 % BW rewrite match successes : 0
% 1.67/0.97 % Condensation attempts : 0
% 1.67/0.97 % Condensation successes : 0
% 1.67/0.97 % Termbank termtop insertions : 384336
% 1.67/0.97 % Search garbage collected termcells : 31811
% 1.67/0.97
% 1.67/0.97 % -------------------------------------------------
% 1.67/0.97 % User time : 0.419 s
% 1.67/0.97 % System time : 0.031 s
% 1.67/0.97 % Total time : 0.450 s
% 1.67/0.97 % Maximum resident set size: 16100 pages
% 1.67/0.97
% 1.67/0.97 % -------------------------------------------------
% 1.67/0.97 % User time : 1.088 s
% 1.67/0.97 % System time : 0.103 s
% 1.67/0.97 % Total time : 1.191 s
% 1.67/0.97 % Maximum resident set size: 5120 pages
% 1.67/0.97 % E exiting
%------------------------------------------------------------------------------