%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM472+2 : 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 : 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 01:49:13 PM UTC 2026
% Result : Theorem 0.16s 5.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 20 ( 8 ~; 5 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 1 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [X1] :
( sdtpldt0(xm,X1) = sdtpldt0(xm,xn)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1379,hypothesis,
( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& aNaturalNumber0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
fof(m__1324,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(c_0_3,negated_conjecture,
~ ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [X1] :
( sdtpldt0(xm,X1) = sdtpldt0(xm,xn)
& aNaturalNumber0(X1) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,negated_conjecture,
! [X6] :
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
& ( sdtpldt0(xm,X6) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X6) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_5,negated_conjecture,
( sdtpldt0(xm,X1) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(split_conjunct,[status(thm)],[m__1379]) ).
cnf(c_0_7,negated_conjecture,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xm,X1) != sdtasdt0(xl,xq) ),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1324]) ).
cnf(c_0_9,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/5.38 % Computer : n026.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Mon Sep 21 02:36:12 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.45 % Version: 3.5.1
% 0.16/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.16/5.45 % Starting sh5l with 300s (1) cores
% 0.16/5.45 % new_bool_3 with pid 1179607 completed with status 0
% 0.16/5.45 % Result found by new_bool_3
% 0.16/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/5.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/5.45 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/5.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/5.45 % Starting SubtermCWHack with 31s (1) cores
% 0.16/5.45 % SubtermCWHack with pid 1179610 completed with status 0
% 0.16/5.45 % Result found by SubtermCWHack
% 0.16/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.16/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/5.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/5.45 % Search class: FGHSF-FFMM22-SFFFFFNN
% 0.16/5.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/5.45 % Starting SubtermCWHack with 31s (1) cores
% 0.16/5.45 % Preprocessing time : 0.002 s
% 0.16/5.45
% 0.16/5.45 % Proof found!
% 0.16/5.45 % SZS status Theorem
% 0.16/5.45 % SZS output start CNFRefutation
% See solution above
% 0.16/5.45 % Parsed axioms : 39
% 0.16/5.45 % Removed by relevancy pruning/SinE : 6
% 0.16/5.45 % Initial clauses : 64
% 0.16/5.45 % Removed in clause preprocessing : 1
% 0.16/5.45 % Initial clauses in saturation : 63
% 0.16/5.45 % Processed clauses : 29
% 0.16/5.45 % ...of these trivial : 0
% 0.16/5.45 % ...subsumed : 0
% 0.16/5.45 % ...remaining for further processing : 29
% 0.16/5.45 % Other redundant clauses eliminated : 0
% 0.16/5.45 % Clauses deleted for lack of memory : 0
% 0.16/5.45 % Backward-subsumed : 0
% 0.16/5.45 % Backward-rewritten : 2
% 0.16/5.45 % Generated clauses : 10
% 0.16/5.45 % ...of the previous two non-redundant : 4
% 0.16/5.45 % ...aggressively subsumed : 0
% 0.16/5.45 % Contextual simplify-reflections : 0
% 0.16/5.45 % Paramodulations : 10
% 0.16/5.45 % Factorizations : 0
% 0.16/5.45 % NegExts : 0
% 0.16/5.45 % Equation resolutions : 0
% 0.16/5.45 % Disequality decompositions : 0
% 0.16/5.45 % Total rewrite steps : 25
% 0.16/5.45 % ...of those cached : 16
% 0.16/5.45 % Propositional unsat checks : 0
% 0.16/5.45 % Propositional check models : 0
% 0.16/5.45 % Propositional check unsatisfiable : 0
% 0.16/5.45 % Propositional clauses : 0
% 0.16/5.45 % Propositional clauses after purity: 0
% 0.16/5.45 % Propositional unsat core size : 0
% 0.16/5.45 % Propositional preprocessing time : 0.000
% 0.16/5.45 % Propositional encoding time : 0.000
% 0.16/5.45 % Propositional solver time : 0.000
% 0.16/5.45 % Success case prop preproc time : 0.000
% 0.16/5.45 % Success case prop encoding time : 0.000
% 0.16/5.45 % Success case prop solver time : 0.000
% 0.16/5.45 % Current number of processed clauses : 27
% 0.16/5.45 % Positive orientable unit clauses : 17
% 0.16/5.45 % Positive unorientable unit clauses: 0
% 0.16/5.45 % Negative unit clauses : 2
% 0.16/5.45 % Non-unit-clauses : 8
% 0.16/5.45 % Current number of unprocessed clauses: 37
% 0.16/5.45 % ...number of literals in the above : 189
% 0.16/5.45 % Current number of archived formulas : 0
% 0.16/5.45 % Current number of archived clauses : 2
% 0.16/5.45 % Clause-clause subsumption calls (NU) : 4
% 0.16/5.45 % Rec. Clause-clause subsumption calls : 4
% 0.16/5.45 % Non-unit clause-clause subsumptions : 0
% 0.16/5.45 % Unit Clause-clause subsumption calls : 0
% 0.16/5.45 % Rewrite failures with RHS unbound : 0
% 0.16/5.45 % BW rewrite match attempts : 1
% 0.16/5.45 % BW rewrite match successes : 1
% 0.16/5.45 % Condensation attempts : 0
% 0.16/5.45 % Condensation successes : 0
% 0.16/5.45 % Termbank termtop insertions : 4931
% 0.16/5.45 % Search garbage collected termcells : 972
% 0.16/5.45
% 0.16/5.45 % -------------------------------------------------
% 0.16/5.45 % User time : 0.007 s
% 0.16/5.45 % System time : 0.001 s
% 0.16/5.45 % Total time : 0.008 s
% 0.16/5.45 % Maximum resident set size: 3676 pages
% 0.16/5.45
% 0.16/5.45 % -------------------------------------------------
% 0.16/5.45 % User time : 0.008 s
% 0.16/5.45 % System time : 0.007 s
% 0.16/5.45 % Total time : 0.015 s
% 0.16/5.45 % Maximum resident set size: 4608 pages
% 0.16/5.45 % E exiting
%------------------------------------------------------------------------------