%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM625+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 : 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 01:55:45 PM UTC 2026
% Result : ContradictoryAxioms 1.12s 0.81s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 25 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 20 ( 5 ~; 1 |; 13 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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__5496,hypothesis,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).
fof(c_0_3,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_simplification,[status(thm)],[m__5348]) ).
fof(c_0_4,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_5,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
xp = xx,
inference(split_conjunct,[status(thm)],[m__5496]) ).
cnf(c_0_8,hypothesis,
xx != szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 02:46:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 1.12/0.81 % Version: 3.5.1
% 1.12/0.81 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.12/0.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/0.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.12/0.81 % Starting new_bool_3 with 300s (1) cores
% 1.12/0.81 % Starting new_bool_1 with 300s (1) cores
% 1.12/0.81 % Starting sh5l with 300s (1) cores
% 1.12/0.81 % sh5l with pid 4071042 completed with status 9
% 1.12/0.81 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4071039 completed with status 0
% 1.12/0.81 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.12/0.81 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.12/0.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/0.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.12/0.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.12/0.81 % No SInE strategy applied
% 1.12/0.81 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.12/0.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.12/0.81 % Starting SubtermCWHack with 136s (1) cores
% 1.12/0.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.12/0.81 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 1.12/0.81 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.12/0.81 % Starting new_bool_3 with 136s (1) cores
% 1.12/0.81 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with pid 4071115 completed with status 0
% 1.12/0.81 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I
% 1.12/0.81 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.12/0.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/0.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.12/0.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.12/0.81 % No SInE strategy applied
% 1.12/0.81 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.12/0.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.12/0.81 % Starting SubtermCWHack with 136s (1) cores
% 1.12/0.81 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.12/0.81 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 1.12/0.81 % Preprocessing time : 0.070 s
% 1.12/0.81 % Presaturation interreduction done
% 1.12/0.81
% 1.12/0.81 % Proof found!
% 1.12/0.81 % SZS status ContradictoryAxioms
% 1.12/0.81 % SZS output start CNFRefutation
% See solution above
% 1.12/0.81 % Parsed axioms : 121
% 1.12/0.81 % Removed by relevancy pruning/SinE : 0
% 1.12/0.81 % Initial clauses : 4935
% 1.12/0.81 % Removed in clause preprocessing : 8
% 1.12/0.81 % Initial clauses in saturation : 4927
% 1.12/0.81 % Processed clauses : 6
% 1.12/0.81 % ...of these trivial : 0
% 1.12/0.81 % ...subsumed : 1
% 1.12/0.81 % ...remaining for further processing : 4
% 1.12/0.81 % Other redundant clauses eliminated : 0
% 1.12/0.81 % Clauses deleted for lack of memory : 0
% 1.12/0.81 % Backward-subsumed : 0
% 1.12/0.81 % Backward-rewritten : 0
% 1.12/0.81 % Generated clauses : 0
% 1.12/0.81 % ...of the previous two non-redundant : 0
% 1.12/0.81 % ...aggressively subsumed : 0
% 1.12/0.81 % Contextual simplify-reflections : 0
% 1.12/0.81 % Paramodulations : 0
% 1.12/0.81 % Factorizations : 0
% 1.12/0.81 % NegExts : 0
% 1.12/0.81 % Equation resolutions : 0
% 1.12/0.81 % Disequality decompositions : 0
% 1.12/0.81 % Total rewrite steps : 1
% 1.12/0.81 % ...of those cached : 0
% 1.12/0.81 % Propositional unsat checks : 0
% 1.12/0.81 % Propositional check models : 0
% 1.12/0.81 % Propositional check unsatisfiable : 0
% 1.12/0.81 % Propositional clauses : 0
% 1.12/0.81 % Propositional clauses after purity: 0
% 1.12/0.81 % Propositional unsat core size : 0
% 1.12/0.81 % Propositional preprocessing time : 0.000
% 1.12/0.81 % Propositional encoding time : 0.000
% 1.12/0.81 % Propositional solver time : 0.000
% 1.12/0.81 % Success case prop preproc time : 0.000
% 1.12/0.81 % Success case prop encoding time : 0.000
% 1.12/0.81 % Success case prop solver time : 0.000
% 1.12/0.81 % Current number of processed clauses : 4
% 1.12/0.81 % Positive orientable unit clauses : 1
% 1.12/0.81 % Positive unorientable unit clauses: 0
% 1.12/0.81 % Negative unit clauses : 3
% 1.12/0.81 % Non-unit-clauses : 0
% 1.12/0.81 % Current number of unprocessed clauses: 4921
% 1.12/0.81 % ...number of literals in the above : 56041
% 1.12/0.81 % Current number of archived formulas : 0
% 1.12/0.81 % Current number of archived clauses : 0
% 1.12/0.81 % Clause-clause subsumption calls (NU) : 0
% 1.12/0.81 % Rec. Clause-clause subsumption calls : 0
% 1.12/0.81 % Non-unit clause-clause subsumptions : 0
% 1.12/0.81 % Unit Clause-clause subsumption calls : 0
% 1.12/0.81 % Rewrite failures with RHS unbound : 0
% 1.12/0.81 % BW rewrite match attempts : 0
% 1.12/0.81 % BW rewrite match successes : 0
% 1.12/0.81 % Condensation attempts : 0
% 1.12/0.81 % Condensation successes : 0
% 1.12/0.81 % Termbank termtop insertions : 383463
% 1.12/0.81 % Search garbage collected termcells : 32086
% 1.12/0.81
% 1.12/0.81 % -------------------------------------------------
% 1.12/0.81 % User time : 0.344 s
% 1.12/0.81 % System time : 0.016 s
% 1.12/0.81 % Total time : 0.360 s
% 1.12/0.81 % Maximum resident set size: 16120 pages
% 1.12/0.81
% 1.12/0.81 % -------------------------------------------------
% 1.12/0.81 % User time : 0.641 s
% 1.12/0.81 % System time : 0.070 s
% 1.12/0.81 % Total time : 0.711 s
% 1.12/0.81 % Maximum resident set size: 5120 pages
% 1.12/0.81 % E exiting
%------------------------------------------------------------------------------