%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM621+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 01:49:48 PM UTC 2026
% Result : Theorem 3.35s 1.29s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 102 ( 19 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 98 ( 31 ~; 23 |; 33 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5106,hypothesis,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
fof(m__5147,hypothesis,
( xp = szmzizndt0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(m__5348,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(m__5401,hypothesis,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
fof(m__,conjecture,
( ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> aElementOf0(X1,sdtlpdtrp0(xN,xm)) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(m__5309,hypothesis,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,szDzozmdt0(xd)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(c_0_8,hypothesis,
! [X88] :
( aSubsetOf0(xQ,szNzAzT0)
& ( aElementOf0(X88,szNzAzT0)
| ~ aElementOf0(X88,xQ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5106])])])]) ).
fof(c_0_9,hypothesis,
! [X91] :
( xp = szmzizndt0(xQ)
& ( sdtlseqdt0(xp,X91)
| ~ aElementOf0(X91,xQ) )
& aElementOf0(xp,xQ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])])]) ).
fof(c_0_10,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_simplification,[status(thm)],[m__5348]) ).
fof(c_0_11,plain,
! [X215,X216] :
( X215 = X216
| ~ sdtlseqdt0(X216,X215)
| ~ sdtlseqdt0(X215,X216)
| ~ aElementOf0(X216,szNzAzT0)
| ~ aElementOf0(X215,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])])]) ).
cnf(c_0_12,hypothesis,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,hypothesis,
( ~ aElementOf0(X1,xQ)
| sdtlseqdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_18,hypothesis,
! [X98] :
( sdtlseqdt0(xx,X98)
| ~ aElementOf0(X98,sdtlpdtrp0(xN,xm)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5401])])]) ).
cnf(c_0_19,hypothesis,
xx != szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_21,negated_conjecture,
~ ( ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> aElementOf0(X1,sdtlpdtrp0(xN,xm)) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_22,hypothesis,
! [X65,X66] :
( ( ~ aElementOf0(X65,szNzAzT0)
| sdtlpdtrp0(xe,X65) = szmzizndt0(sdtlpdtrp0(xN,X65)) )
& ( ~ aElementOf0(X65,szNzAzT0)
| sdtlseqdt0(sdtlpdtrp0(xe,X65),X66)
| ~ aElementOf0(X66,sdtlpdtrp0(xN,X65)) )
& ( ~ aElementOf0(X65,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X65),sdtlpdtrp0(xN,X65)) )
& 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])])])])]) ).
cnf(c_0_23,hypothesis,
( ~ aElementOf0(X1,xQ)
| ~ sdtlseqdt0(X1,xp)
| X1 = xp ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_12]) ).
cnf(c_0_24,hypothesis,
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,hypothesis,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,hypothesis,
xp != xx,
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_27,negated_conjecture,
! [X100] :
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ( aElementOf0(X100,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X100,sdtlpdtrp0(xN,xn)) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
cnf(c_0_28,hypothesis,
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_30,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_31,hypothesis,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xn))
| aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,hypothesis,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM621+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.57 % Computer : n003.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 02:46:46 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.62 Running first-order theorem proving
% 0.14/0.62 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
% 3.35/1.29 % Version: 3.5.1
% 3.35/1.29 % Preprocessing class: FSLSSMSMSSSNFFN.
% 3.35/1.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.35/1.29 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.35/1.29 % Starting new_bool_3 with 300s (1) cores
% 3.35/1.29 % Starting new_bool_1 with 300s (1) cores
% 3.35/1.29 % Starting sh5l with 300s (1) cores
% 3.35/1.29 % new_bool_3 with pid 3239633 completed with status 0
% 3.35/1.29 % Result found by new_bool_3
% 3.35/1.29 % Preprocessing class: FSLSSMSMSSSNFFN.
% 3.35/1.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.35/1.29 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.35/1.29 % Starting new_bool_3 with 300s (1) cores
% 3.35/1.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.35/1.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.35/1.29 % Search class: FGHSF-SMLM32-MFFFFFNN
% 3.35/1.29 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.35/1.29 % Starting SubtermCWHack with 31s (1) cores
% 3.35/1.29 % SubtermCWHack with pid 3239653 completed with status 0
% 3.35/1.29 % Result found by SubtermCWHack
% 3.35/1.29 % Preprocessing class: FSLSSMSMSSSNFFN.
% 3.35/1.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.35/1.29 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.35/1.29 % Starting new_bool_3 with 300s (1) cores
% 3.35/1.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.35/1.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.35/1.29 % Search class: FGHSF-SMLM32-MFFFFFNN
% 3.35/1.29 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.35/1.29 % Starting SubtermCWHack with 31s (1) cores
% 3.35/1.29 % Preprocessing time : 0.127 s
% 3.35/1.29
% 3.35/1.29 % Proof found!
% 3.35/1.29 % SZS status Theorem
% 3.35/1.29 % SZS output start CNFRefutation
% See solution above
% 3.35/1.29 % Parsed axioms : 118
% 3.35/1.29 % Removed by relevancy pruning/SinE : 9
% 3.35/1.29 % Initial clauses : 4906
% 3.35/1.29 % Removed in clause preprocessing : 7
% 3.35/1.29 % Initial clauses in saturation : 4899
% 3.35/1.29 % Processed clauses : 2083
% 3.35/1.29 % ...of these trivial : 58
% 3.35/1.29 % ...subsumed : 630
% 3.35/1.29 % ...remaining for further processing : 1395
% 3.35/1.29 % Other redundant clauses eliminated : 48
% 3.35/1.29 % Clauses deleted for lack of memory : 0
% 3.35/1.29 % Backward-subsumed : 153
% 3.35/1.29 % Backward-rewritten : 148
% 3.35/1.29 % Generated clauses : 7599
% 3.35/1.29 % ...of the previous two non-redundant : 6557
% 3.35/1.29 % ...aggressively subsumed : 0
% 3.35/1.29 % Contextual simplify-reflections : 30
% 3.35/1.29 % Paramodulations : 7552
% 3.35/1.29 % Factorizations : 0
% 3.35/1.29 % NegExts : 0
% 3.35/1.29 % Equation resolutions : 50
% 3.35/1.29 % Disequality decompositions : 0
% 3.35/1.29 % Total rewrite steps : 5470
% 3.35/1.29 % ...of those cached : 5268
% 3.35/1.29 % Propositional unsat checks : 0
% 3.35/1.29 % Propositional check models : 0
% 3.35/1.29 % Propositional check unsatisfiable : 0
% 3.35/1.29 % Propositional clauses : 0
% 3.35/1.29 % Propositional clauses after purity: 0
% 3.35/1.29 % Propositional unsat core size : 0
% 3.35/1.29 % Propositional preprocessing time : 0.000
% 3.35/1.29 % Propositional encoding time : 0.000
% 3.35/1.29 % Propositional solver time : 0.000
% 3.35/1.29 % Success case prop preproc time : 0.000
% 3.35/1.29 % Success case prop encoding time : 0.000
% 3.35/1.29 % Success case prop solver time : 0.000
% 3.35/1.29 % Current number of processed clauses : 1056
% 3.35/1.29 % Positive orientable unit clauses : 226
% 3.35/1.29 % Positive unorientable unit clauses: 0
% 3.35/1.29 % Negative unit clauses : 40
% 3.35/1.29 % Non-unit-clauses : 790
% 3.35/1.29 % Current number of unprocessed clauses: 8671
% 3.35/1.29 % ...number of literals in the above : 73575
% 3.35/1.29 % Current number of archived formulas : 0
% 3.35/1.29 % Current number of archived clauses : 303
% 3.35/1.29 % Clause-clause subsumption calls (NU) : 106079
% 3.35/1.29 % Rec. Clause-clause subsumption calls : 56706
% 3.35/1.29 % Non-unit clause-clause subsumptions : 525
% 3.35/1.29 % Unit Clause-clause subsumption calls : 8136
% 3.35/1.29 % Rewrite failures with RHS unbound : 0
% 3.35/1.29 % BW rewrite match attempts : 137
% 3.35/1.29 % BW rewrite match successes : 28
% 3.35/1.29 % Condensation attempts : 0
% 3.35/1.29 % Condensation successes : 0
% 3.35/1.29 % Termbank termtop insertions : 504415
% 3.35/1.29 % Search garbage collected termcells : 31600
% 3.35/1.29
% 3.35/1.29 % -------------------------------------------------
% 3.35/1.29 % User time : 0.527 s
% 3.35/1.29 % System time : 0.034 s
% 3.35/1.29 % Total time : 0.561 s
% 3.35/1.29 % Maximum resident set size: 16104 pages
% 3.35/1.29
% 3.35/1.29 % -------------------------------------------------
% 3.35/1.29 % User time : 0.533 s
% 3.35/1.29 % System time : 0.043 s
% 3.35/1.29 % Total time : 0.576 s
% 3.35/1.29 % Maximum resident set size: 4864 pages
% 3.35/1.29 % E exiting
%------------------------------------------------------------------------------