%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : RNG101+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 : n012.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 02:06:24 PM UTC 2026
% Result : Theorem 0.06s 0.34s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 25 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 21 ( 5 ~; 2 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 1 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( sdtasdt0(xc,X1) = xx
& aElement0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1933,hypothesis,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X1] :
( sdtasdt0(xc,X1) = xy
& aElement0(X1) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X1] :
( sdtasdt0(xc,X1) = xx
& aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).
fof(c_0_2,negated_conjecture,
~ ? [X1] :
( sdtasdt0(xc,X1) = xx
& aElement0(X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,negated_conjecture,
! [X9] :
( sdtasdt0(xc,X9) != xx
| ~ aElement0(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_4,hypothesis,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& sdtasdt0(xc,esk2_0) = xy
& aElement0(esk2_0)
& aElementOf0(xx,slsdtgt0(xc))
& sdtasdt0(xc,esk1_0) = xx
& aElement0(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1933])]) ).
cnf(c_0_5,negated_conjecture,
( sdtasdt0(xc,X1) != xx
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
sdtasdt0(xc,esk1_0) = xx,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aElement0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG101+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 04:19:51 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.32 Running first-order theorem proving
% 0.06/0.32 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
% 0.06/0.34 % Version: 3.5.1
% 0.06/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.06/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.06/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.06/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.06/0.34 % Starting sh5l with 300s (1) cores
% 0.06/0.34 % new_bool_3 with pid 1547947 completed with status 0
% 0.06/0.34 % Result found by new_bool_3
% 0.06/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.06/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.06/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.06/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.06/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.06/0.34 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.06/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.06/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.06/0.34 % SubtermCWHack with pid 1547950 completed with status 0
% 0.06/0.34 % Result found by SubtermCWHack
% 0.06/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.06/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.06/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.06/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.06/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.06/0.34 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.06/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.06/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.06/0.34 % Preprocessing time : 0.001 s
% 0.06/0.34
% 0.06/0.34 % Proof found!
% 0.06/0.34 % SZS status Theorem
% 0.06/0.34 % SZS output start CNFRefutation
% See solution above
% 0.06/0.34 % Parsed axioms : 40
% 0.06/0.34 % Removed by relevancy pruning/SinE : 20
% 0.06/0.34 % Initial clauses : 45
% 0.06/0.34 % Removed in clause preprocessing : 2
% 0.06/0.34 % Initial clauses in saturation : 43
% 0.06/0.34 % Processed clauses : 15
% 0.06/0.34 % ...of these trivial : 0
% 0.06/0.34 % ...subsumed : 0
% 0.06/0.34 % ...remaining for further processing : 15
% 0.06/0.34 % Other redundant clauses eliminated : 0
% 0.06/0.34 % Clauses deleted for lack of memory : 0
% 0.06/0.34 % Backward-subsumed : 0
% 0.06/0.34 % Backward-rewritten : 0
% 0.06/0.34 % Generated clauses : 3
% 0.06/0.34 % ...of the previous two non-redundant : 2
% 0.06/0.34 % ...aggressively subsumed : 0
% 0.06/0.34 % Contextual simplify-reflections : 0
% 0.06/0.34 % Paramodulations : 3
% 0.06/0.34 % Factorizations : 0
% 0.06/0.34 % NegExts : 0
% 0.06/0.34 % Equation resolutions : 0
% 0.06/0.34 % Disequality decompositions : 0
% 0.06/0.34 % Total rewrite steps : 4
% 0.06/0.34 % ...of those cached : 0
% 0.06/0.34 % Propositional unsat checks : 0
% 0.06/0.34 % Propositional check models : 0
% 0.06/0.34 % Propositional check unsatisfiable : 0
% 0.06/0.34 % Propositional clauses : 0
% 0.06/0.34 % Propositional clauses after purity: 0
% 0.06/0.34 % Propositional unsat core size : 0
% 0.06/0.34 % Propositional preprocessing time : 0.000
% 0.06/0.34 % Propositional encoding time : 0.000
% 0.06/0.34 % Propositional solver time : 0.000
% 0.06/0.34 % Success case prop preproc time : 0.000
% 0.06/0.34 % Success case prop encoding time : 0.000
% 0.06/0.34 % Success case prop solver time : 0.000
% 0.06/0.34 % Current number of processed clauses : 15
% 0.06/0.34 % Positive orientable unit clauses : 9
% 0.06/0.34 % Positive unorientable unit clauses: 0
% 0.06/0.34 % Negative unit clauses : 0
% 0.06/0.34 % Non-unit-clauses : 6
% 0.06/0.34 % Current number of unprocessed clauses: 28
% 0.06/0.34 % ...number of literals in the above : 115
% 0.06/0.34 % Current number of archived formulas : 0
% 0.06/0.34 % Current number of archived clauses : 0
% 0.06/0.34 % Clause-clause subsumption calls (NU) : 4
% 0.06/0.34 % Rec. Clause-clause subsumption calls : 4
% 0.06/0.34 % Non-unit clause-clause subsumptions : 0
% 0.06/0.34 % Unit Clause-clause subsumption calls : 0
% 0.06/0.34 % Rewrite failures with RHS unbound : 0
% 0.06/0.34 % BW rewrite match attempts : 0
% 0.06/0.34 % BW rewrite match successes : 0
% 0.06/0.34 % Condensation attempts : 0
% 0.06/0.34 % Condensation successes : 0
% 0.06/0.34 % Termbank termtop insertions : 3339
% 0.06/0.34 % Search garbage collected termcells : 924
% 0.06/0.34
% 0.06/0.34 % -------------------------------------------------
% 0.06/0.34 % User time : 0.002 s
% 0.06/0.34 % System time : 0.002 s
% 0.06/0.34 % Total time : 0.004 s
% 0.06/0.34 % Maximum resident set size: 3944 pages
% 0.06/0.34
% 0.06/0.34 % -------------------------------------------------
% 0.06/0.34 % User time : 0.003 s
% 0.06/0.34 % System time : 0.005 s
% 0.06/0.34 % Total time : 0.008 s
% 0.06/0.34 % Maximum resident set size: 4864 pages
% 0.06/0.34 % E exiting
%------------------------------------------------------------------------------