%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN410+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 03:33:33 PM UTC 2026
% Result : Theorem 0.16s 15.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 16 ( 4 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish249,conjecture,
( ! [X1,X2] : f(X1,X2)
=> ? [X3,X4] : f(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish249) ).
fof(c_0_1,negated_conjecture,
~ ( ! [X1,X2] : f(X1,X2)
=> ? [X3,X4] : f(X3,X4) ),
inference(assume_negation,[status(cth)],[kalish249]) ).
fof(c_0_2,negated_conjecture,
! [X5,X6,X7,X8] :
( ~ f(X7,X8)
& f(X5,X6) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
~ f(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
f(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN410+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/15.40 % Computer : n006.cluster.edu
% 0.11/15.40 % Model : x86_64 x86_64
% 0.11/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.40 % Memory : 8046.5625MB
% 0.11/15.40 % OS : Linux 6.8.0-71-generic
% 0.11/15.40 % CPULimit : 300
% 0.15/15.40 % WCLimit : 300
% 0.15/15.40 % DateTime : Mon Sep 21 10:53:43 UTC 2026
% 0.15/15.40 % CPUTime :
% 0.15/15.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/15.47 Running first-order theorem proving
% 0.15/15.48 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
% 0.16/15.50 % Version: 3.5.1
% 0.16/15.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/15.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/15.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/15.50 % Starting new_bool_3 with 300s (1) cores
% 0.16/15.50 % Starting new_bool_1 with 300s (1) cores
% 0.16/15.50 % Starting sh5l with 300s (1) cores
% 0.16/15.50 % new_bool_1 with pid 2685280 completed with status 0
% 0.16/15.50 % Result found by new_bool_1
% 0.16/15.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/15.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/15.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/15.50 % Starting new_bool_3 with 300s (1) cores
% 0.16/15.50 % Starting new_bool_1 with 300s (1) cores
% 0.16/15.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/15.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/15.50 % Search class: FUUNF-FFSF00-SFFFFFNN
% 0.16/15.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/15.50 % Starting SubtermCWHack with 31s (1) cores
% 0.16/15.50 % SubtermCWHack with pid 2685288 completed with status 0
% 0.16/15.50 % Result found by SubtermCWHack
% 0.16/15.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/15.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/15.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/15.50 % Starting new_bool_3 with 300s (1) cores
% 0.16/15.50 % Starting new_bool_1 with 300s (1) cores
% 0.16/15.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/15.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/15.50 % Search class: FUUNF-FFSF00-SFFFFFNN
% 0.16/15.50 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/15.50 % Starting SubtermCWHack with 31s (1) cores
% 0.16/15.50 % Preprocessing time : 0.001 s
% 0.16/15.50
% 0.16/15.50 % Proof found!
% 0.16/15.50 % SZS status Theorem
% 0.16/15.50 % SZS output start CNFRefutation
% See solution above
% 0.16/15.50 % Parsed axioms : 1
% 0.16/15.50 % Removed by relevancy pruning/SinE : 0
% 0.16/15.50 % Initial clauses : 2
% 0.16/15.50 % Removed in clause preprocessing : 0
% 0.16/15.50 % Initial clauses in saturation : 2
% 0.16/15.50 % Processed clauses : 2
% 0.16/15.50 % ...of these trivial : 0
% 0.16/15.50 % ...subsumed : 0
% 0.16/15.50 % ...remaining for further processing : 1
% 0.16/15.50 % Other redundant clauses eliminated : 0
% 0.16/15.50 % Clauses deleted for lack of memory : 0
% 0.16/15.50 % Backward-subsumed : 0
% 0.16/15.50 % Backward-rewritten : 0
% 0.16/15.50 % Generated clauses : 0
% 0.16/15.50 % ...of the previous two non-redundant : 0
% 0.16/15.50 % ...aggressively subsumed : 0
% 0.16/15.50 % Contextual simplify-reflections : 0
% 0.16/15.50 % Paramodulations : 0
% 0.16/15.50 % Factorizations : 0
% 0.16/15.50 % NegExts : 0
% 0.16/15.50 % Equation resolutions : 0
% 0.16/15.50 % Disequality decompositions : 0
% 0.16/15.50 % Total rewrite steps : 1
% 0.16/15.50 % ...of those cached : 0
% 0.16/15.50 % Propositional unsat checks : 0
% 0.16/15.50 % Propositional check models : 0
% 0.16/15.50 % Propositional check unsatisfiable : 0
% 0.16/15.50 % Propositional clauses : 0
% 0.16/15.50 % Propositional clauses after purity: 0
% 0.16/15.50 % Propositional unsat core size : 0
% 0.16/15.50 % Propositional preprocessing time : 0.000
% 0.16/15.50 % Propositional encoding time : 0.000
% 0.16/15.50 % Propositional solver time : 0.000
% 0.16/15.50 % Success case prop preproc time : 0.000
% 0.16/15.50 % Success case prop encoding time : 0.000
% 0.16/15.50 % Success case prop solver time : 0.000
% 0.16/15.50 % Current number of processed clauses : 1
% 0.16/15.50 % Positive orientable unit clauses : 1
% 0.16/15.50 % Positive unorientable unit clauses: 0
% 0.16/15.50 % Negative unit clauses : 0
% 0.16/15.50 % Non-unit-clauses : 0
% 0.16/15.50 % Current number of unprocessed clauses: 0
% 0.16/15.50 % ...number of literals in the above : 0
% 0.16/15.50 % Current number of archived formulas : 0
% 0.16/15.50 % Current number of archived clauses : 0
% 0.16/15.50 % Clause-clause subsumption calls (NU) : 0
% 0.16/15.50 % Rec. Clause-clause subsumption calls : 0
% 0.16/15.50 % Non-unit clause-clause subsumptions : 0
% 0.16/15.50 % Unit Clause-clause subsumption calls : 0
% 0.16/15.50 % Rewrite failures with RHS unbound : 0
% 0.16/15.50 % BW rewrite match attempts : 0
% 0.16/15.50 % BW rewrite match successes : 0
% 0.16/15.50 % Condensation attempts : 0
% 0.16/15.50 % Condensation successes : 0
% 0.16/15.50 % Termbank termtop insertions : 105
% 0.16/15.50 % Search garbage collected termcells : 38
% 0.16/15.50
% 0.16/15.50 % -------------------------------------------------
% 0.16/15.50 % User time : 0.001 s
% 0.16/15.50 % System time : 0.003 s
% 0.16/15.50 % Total time : 0.004 s
% 0.16/15.50 % Maximum resident set size: 3572 pages
% 0.16/15.50
% 0.16/15.50 % -------------------------------------------------
% 0.16/15.50 % User time : 0.002 s
% 0.16/15.50 % System time : 0.011 s
% 0.16/15.50 % Total time : 0.013 s
% 0.16/15.50 % Maximum resident set size: 4864 pages
% 0.16/15.50 % E exiting
%------------------------------------------------------------------------------