%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM624+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 : n005.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 01:55:45 PM UTC 2026
% Result : Theorem 1.26s 0.95s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 66 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 23 ~; 16 |; 18 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5106,hypothesis,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(m__,conjecture,
xp = xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(m__5348,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(m__5401,hypothesis,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
fof(m__5481,hypothesis,
( aElementOf0(xx,xQ)
& aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5481) ).
fof(c_0_7,hypothesis,
! [X258] :
( aSubsetOf0(xQ,szNzAzT0)
& ( aElementOf0(X258,szNzAzT0)
| ~ aElementOf0(X258,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_8,hypothesis,
! [X261] :
( xp = szmzizndt0(xQ)
& ( sdtlseqdt0(xp,X261)
| ~ aElementOf0(X261,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_9,negated_conjecture,
xp != xx,
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_10,plain,
! [X73,X74] :
( X73 = X74
| ~ sdtlseqdt0(X74,X73)
| ~ sdtlseqdt0(X73,X74)
| ~ aElementOf0(X74,szNzAzT0)
| ~ aElementOf0(X73,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])])]) ).
cnf(c_0_11,hypothesis,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_simplification,[status(thm)],[m__5348]) ).
fof(c_0_14,negated_conjecture,
xp != xx,
inference(fof_simplification,[status(thm)],[c_0_9]) ).
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_10]) ).
cnf(c_0_16,hypothesis,
( ~ aElementOf0(X1,xQ)
| sdtlseqdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_18,hypothesis,
! [X268] :
( sdtlseqdt0(xx,X268)
| ~ aElementOf0(X268,sdtlpdtrp0(xN,xm)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5401])])]) ).
fof(c_0_19,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
fof(c_0_20,negated_conjecture,
xp != xx,
inference(fof_nnf,[status(thm)],[c_0_14]) ).
cnf(c_0_21,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_11]) ).
cnf(c_0_22,hypothesis,
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,hypothesis,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,hypothesis,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[m__5481]) ).
cnf(c_0_25,negated_conjecture,
xp != xx,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM624+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:45:48 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 1.26/0.95 % Version: 3.5.1
% 1.26/0.95 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.26/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.95 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.26/0.95 % Starting new_bool_3 with 300s (1) cores
% 1.26/0.95 % Starting new_bool_1 with 300s (1) cores
% 1.26/0.95 % Starting sh5l with 300s (1) cores
% 1.26/0.95 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2386043 completed with status 0
% 1.26/0.95 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.26/0.95 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.26/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.95 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.26/0.95 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.26/0.95 % No SInE strategy applied
% 1.26/0.95 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.26/0.95 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.26/0.95 % Starting SubtermCWHack with 136s (1) cores
% 1.26/0.95 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.26/0.95 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 1.26/0.95 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.26/0.95 % Starting new_bool_3 with 136s (1) cores
% 1.26/0.95 % SubtermCWHack with pid 2386146 completed with status 0
% 1.26/0.95 % Result found by SubtermCWHack
% 1.26/0.95 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.26/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.95 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.26/0.95 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.26/0.95 % No SInE strategy applied
% 1.26/0.95 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.26/0.95 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.26/0.95 % Starting SubtermCWHack with 136s (1) cores
% 1.26/0.95 % Preprocessing time : 0.062 s
% 1.26/0.95
% 1.26/0.95 % Proof found!
% 1.26/0.95 % SZS status Theorem
% 1.26/0.95 % SZS output start CNFRefutation
% See solution above
% 1.26/0.95 % Parsed axioms : 121
% 1.26/0.95 % Removed by relevancy pruning/SinE : 0
% 1.26/0.95 % Initial clauses : 4938
% 1.26/0.95 % Removed in clause preprocessing : 7
% 1.26/0.95 % Initial clauses in saturation : 4931
% 1.26/0.95 % Processed clauses : 2400
% 1.26/0.95 % ...of these trivial : 58
% 1.26/0.95 % ...subsumed : 799
% 1.26/0.95 % ...remaining for further processing : 1543
% 1.26/0.95 % Other redundant clauses eliminated : 68
% 1.26/0.95 % Clauses deleted for lack of memory : 0
% 1.26/0.95 % Backward-subsumed : 171
% 1.26/0.95 % Backward-rewritten : 174
% 1.26/0.95 % Generated clauses : 9121
% 1.26/0.95 % ...of the previous two non-redundant : 7975
% 1.26/0.95 % ...aggressively subsumed : 0
% 1.26/0.95 % Contextual simplify-reflections : 39
% 1.26/0.95 % Paramodulations : 9054
% 1.26/0.95 % Factorizations : 0
% 1.26/0.95 % NegExts : 0
% 1.26/0.95 % Equation resolutions : 70
% 1.26/0.95 % Disequality decompositions : 0
% 1.26/0.95 % Total rewrite steps : 6225
% 1.26/0.95 % ...of those cached : 6007
% 1.26/0.95 % Propositional unsat checks : 0
% 1.26/0.95 % Propositional check models : 0
% 1.26/0.95 % Propositional check unsatisfiable : 0
% 1.26/0.95 % Propositional clauses : 0
% 1.26/0.95 % Propositional clauses after purity: 0
% 1.26/0.95 % Propositional unsat core size : 0
% 1.26/0.95 % Propositional preprocessing time : 0.000
% 1.26/0.95 % Propositional encoding time : 0.000
% 1.26/0.95 % Propositional solver time : 0.000
% 1.26/0.95 % Success case prop preproc time : 0.000
% 1.26/0.95 % Success case prop encoding time : 0.000
% 1.26/0.95 % Success case prop solver time : 0.000
% 1.26/0.95 % Current number of processed clauses : 1149
% 1.26/0.95 % Positive orientable unit clauses : 245
% 1.26/0.95 % Positive unorientable unit clauses: 0
% 1.26/0.95 % Negative unit clauses : 42
% 1.26/0.95 % Non-unit-clauses : 862
% 1.26/0.95 % Current number of unprocessed clauses: 9718
% 1.26/0.95 % ...number of literals in the above : 79036
% 1.26/0.95 % Current number of archived formulas : 0
% 1.26/0.95 % Current number of archived clauses : 347
% 1.26/0.95 % Clause-clause subsumption calls (NU) : 116322
% 1.26/0.95 % Rec. Clause-clause subsumption calls : 59085
% 1.26/0.95 % Non-unit clause-clause subsumptions : 674
% 1.26/0.95 % Unit Clause-clause subsumption calls : 8062
% 1.26/0.95 % Rewrite failures with RHS unbound : 0
% 1.26/0.95 % BW rewrite match attempts : 153
% 1.26/0.95 % BW rewrite match successes : 33
% 1.26/0.95 % Condensation attempts : 0
% 1.26/0.95 % Condensation successes : 0
% 1.26/0.95 % Termbank termtop insertions : 534950
% 1.26/0.95 % Search garbage collected termcells : 32114
% 1.26/0.95
% 1.26/0.95 % -------------------------------------------------
% 1.26/0.95 % User time : 0.484 s
% 1.26/0.95 % System time : 0.031 s
% 1.26/0.95 % Total time : 0.515 s
% 1.26/0.95 % Maximum resident set size: 16068 pages
% 1.26/0.95
% 1.26/0.95 % -------------------------------------------------
% 1.26/0.95 % User time : 1.341 s
% 1.26/0.95 % System time : 0.107 s
% 1.26/0.95 % Total time : 1.448 s
% 1.26/0.95 % Maximum resident set size: 5120 pages
% 1.26/0.95 % E exiting
%------------------------------------------------------------------------------