%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : RNG125+4 : 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 : n007.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 02:06:29 PM UTC 2026
% Result : ContradictoryAxioms 0.16s 0.62s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 49 ( 12 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 70 ( 31 ~; 20 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2383,hypothesis,
~ ( ( aDivisorOf0(xu,xb)
| doDivides0(xu,xb)
| ? [X1] :
( sdtasdt0(xu,X1) = xb
& aElement0(X1) ) )
& ( aDivisorOf0(xu,xa)
| doDivides0(xu,xa)
| ? [X1] :
( sdtasdt0(xu,X1) = xa
& aElement0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).
fof(m__2479,hypothesis,
~ ~ ( doDivides0(xu,xa)
& ? [X1] :
( sdtasdt0(xu,X1) = xa
& aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).
fof(m__2612,hypothesis,
~ ~ ( doDivides0(xu,xb)
& ? [X1] :
( sdtasdt0(xu,X1) = xb
& aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
fof(c_0_3,hypothesis,
! [X48,X49] :
( ( ~ aDivisorOf0(xu,xa)
| ~ aDivisorOf0(xu,xb) )
& ( ~ aDivisorOf0(xu,xa)
| ~ doDivides0(xu,xb) )
& ( ~ aDivisorOf0(xu,xa)
| sdtasdt0(xu,X49) != xb
| ~ aElement0(X49) )
& ( ~ doDivides0(xu,xa)
| ~ aDivisorOf0(xu,xb) )
& ( ~ doDivides0(xu,xa)
| ~ doDivides0(xu,xb) )
& ( ~ doDivides0(xu,xa)
| sdtasdt0(xu,X49) != xb
| ~ aElement0(X49) )
& ( sdtasdt0(xu,X48) != xa
| ~ aElement0(X48)
| ~ aDivisorOf0(xu,xb) )
& ( sdtasdt0(xu,X48) != xa
| ~ aElement0(X48)
| ~ doDivides0(xu,xb) )
& ( sdtasdt0(xu,X48) != xa
| ~ aElement0(X48)
| sdtasdt0(xu,X49) != xb
| ~ aElement0(X49) ) ),
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__2383])])])])]) ).
fof(c_0_4,hypothesis,
( doDivides0(xu,xa)
& sdtasdt0(xu,esk21_0) = xa
& aElement0(esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2479])])]) ).
fof(c_0_5,hypothesis,
( doDivides0(xu,xb)
& sdtasdt0(xu,esk22_0) = xb
& aElement0(esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2612])])]) ).
cnf(c_0_6,hypothesis,
( ~ doDivides0(xu,xa)
| ~ doDivides0(xu,xb) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,hypothesis,
doDivides0(xu,xa),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
doDivides0(xu,xb),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG125+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.54 % Computer : n007.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Mon Sep 21 04:19:35 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.54 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.59 Running first-order theorem proving
% 0.16/0.59 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
% 0.16/0.62 % Version: 3.5.1
% 0.16/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.62 % Starting sh5l with 300s (1) cores
% 0.16/0.62 % new_bool_1 with pid 159036 completed with status 0
% 0.16/0.62 % Result found by new_bool_1
% 0.16/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.62 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.16/0.62 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.62 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.62 % SubtermCWHack with pid 159040 completed with status 0
% 0.16/0.62 % Result found by SubtermCWHack
% 0.16/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.62 % Search class: FGHSF-FSLM31-MFFFFFNN
% 0.16/0.62 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.62 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.62 % Preprocessing time : 0.003 s
% 0.16/0.62
% 0.16/0.62 % Proof found!
% 0.16/0.62 % SZS status ContradictoryAxioms
% 0.16/0.62 % SZS output start CNFRefutation
% See solution above
% 0.16/0.62 % Parsed axioms : 50
% 0.16/0.62 % Removed by relevancy pruning/SinE : 11
% 0.16/0.62 % Initial clauses : 171
% 0.16/0.62 % Removed in clause preprocessing : 5
% 0.16/0.62 % Initial clauses in saturation : 166
% 0.16/0.62 % Processed clauses : 50
% 0.16/0.62 % ...of these trivial : 1
% 0.16/0.62 % ...subsumed : 0
% 0.16/0.62 % ...remaining for further processing : 48
% 0.16/0.62 % Other redundant clauses eliminated : 0
% 0.16/0.62 % Clauses deleted for lack of memory : 0
% 0.16/0.62 % Backward-subsumed : 0
% 0.16/0.62 % Backward-rewritten : 0
% 0.16/0.62 % Generated clauses : 2
% 0.16/0.62 % ...of the previous two non-redundant : 1
% 0.16/0.62 % ...aggressively subsumed : 0
% 0.16/0.62 % Contextual simplify-reflections : 0
% 0.16/0.62 % Paramodulations : 2
% 0.16/0.62 % Factorizations : 0
% 0.16/0.62 % NegExts : 0
% 0.16/0.62 % Equation resolutions : 0
% 0.16/0.62 % Disequality decompositions : 0
% 0.16/0.62 % Total rewrite steps : 4
% 0.16/0.62 % ...of those cached : 0
% 0.16/0.62 % Propositional unsat checks : 0
% 0.16/0.62 % Propositional check models : 0
% 0.16/0.62 % Propositional check unsatisfiable : 0
% 0.16/0.62 % Propositional clauses : 0
% 0.16/0.62 % Propositional clauses after purity: 0
% 0.16/0.62 % Propositional unsat core size : 0
% 0.16/0.62 % Propositional preprocessing time : 0.000
% 0.16/0.62 % Propositional encoding time : 0.000
% 0.16/0.62 % Propositional solver time : 0.000
% 0.16/0.62 % Success case prop preproc time : 0.000
% 0.16/0.62 % Success case prop encoding time : 0.000
% 0.16/0.62 % Success case prop solver time : 0.000
% 0.16/0.62 % Current number of processed clauses : 48
% 0.16/0.62 % Positive orientable unit clauses : 42
% 0.16/0.62 % Positive unorientable unit clauses: 0
% 0.16/0.62 % Negative unit clauses : 2
% 0.16/0.62 % Non-unit-clauses : 4
% 0.16/0.62 % Current number of unprocessed clauses: 117
% 0.16/0.62 % ...number of literals in the above : 447
% 0.16/0.62 % Current number of archived formulas : 0
% 0.16/0.62 % Current number of archived clauses : 0
% 0.16/0.62 % Clause-clause subsumption calls (NU) : 3
% 0.16/0.62 % Rec. Clause-clause subsumption calls : 3
% 0.16/0.62 % Non-unit clause-clause subsumptions : 0
% 0.16/0.62 % Unit Clause-clause subsumption calls : 1
% 0.16/0.62 % Rewrite failures with RHS unbound : 0
% 0.16/0.62 % BW rewrite match attempts : 0
% 0.16/0.62 % BW rewrite match successes : 0
% 0.16/0.62 % Condensation attempts : 0
% 0.16/0.62 % Condensation successes : 0
% 0.16/0.62 % Termbank termtop insertions : 9585
% 0.16/0.62 % Search garbage collected termcells : 2310
% 0.16/0.62
% 0.16/0.62 % -------------------------------------------------
% 0.16/0.62 % User time : 0.007 s
% 0.16/0.62 % System time : 0.004 s
% 0.16/0.62 % Total time : 0.011 s
% 0.16/0.62 % Maximum resident set size: 3920 pages
% 0.16/0.62
% 0.16/0.62 % -------------------------------------------------
% 0.16/0.62 % User time : 0.010 s
% 0.16/0.62 % System time : 0.009 s
% 0.16/0.62 % Total time : 0.019 s
% 0.16/0.62 % Maximum resident set size: 4864 pages
% 0.16/0.62 % E exiting
%------------------------------------------------------------------------------