%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN384+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 : 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 03:33:18 PM UTC 2026
% Result : Theorem 0.23s 0.75s
% Output : CNFRefutation 0.23s
% 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 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2136,conjecture,
! [X1] :
? [X2,X3] :
! [X4] :
( big_p(X2,X3,X1)
=> big_p(X4,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2136) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
? [X2,X3] :
! [X4] :
( big_p(X2,X3,X1)
=> big_p(X4,X2,X2) ),
inference(assume_negation,[status(cth)],[x2136]) ).
fof(c_0_2,negated_conjecture,
! [X6,X7] :
( ~ big_p(esk2_2(X6,X7),X6,X6)
& big_p(X6,X7,esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
~ big_p(esk2_2(X1,X2),X1,X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
big_p(X1,X2,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_3,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN384+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.65 % Computer : n026.cluster.edu
% 0.21/0.65 % Model : x86_64 x86_64
% 0.21/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.65 % Memory : 8046.5625MB
% 0.21/0.65 % OS : Linux 6.8.0-71-generic
% 0.21/0.65 % CPULimit : 300
% 0.21/0.65 % WCLimit : 300
% 0.21/0.65 % DateTime : Mon Sep 21 10:55:23 UTC 2026
% 0.21/0.65 % CPUTime :
% 0.21/0.65 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.72 Running first-order theorem proving
% 0.23/0.72 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
% 0.23/0.74 % Version: 3.5.1
% 0.23/0.74 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.74 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.74 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.74 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.74 % Starting sh5l with 300s (1) cores
% 0.23/0.74 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2091478 completed with status 0
% 0.23/0.74 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.23/0.74 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.74 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.74 % No SInE strategy applied
% 0.23/0.74 % Search class: FUUNF-FFSF22-SFFFFFNN
% 0.23/0.74 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.74 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.74 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.23/0.74 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.23/0.74 % Starting new_bool_3 with 136s (1) cores
% 0.23/0.75 % Starting new_bool_1 with 136s (1) cores
% 0.23/0.75 % SubtermCWHack with pid 2091482 completed with status 0
% 0.23/0.75 % Result found by SubtermCWHack
% 0.23/0.75 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.23/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.75 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.23/0.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.75 % No SInE strategy applied
% 0.23/0.75 % Search class: FUUNF-FFSF22-SFFFFFNN
% 0.23/0.75 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.75 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.75 % Preprocessing time : 0.001 s
% 0.23/0.75
% 0.23/0.75 % Proof found!
% 0.23/0.75 % SZS status Theorem
% 0.23/0.75 % SZS output start CNFRefutation
% See solution above
% 0.23/0.75 % Parsed axioms : 1
% 0.23/0.75 % Removed by relevancy pruning/SinE : 0
% 0.23/0.75 % Initial clauses : 2
% 0.23/0.75 % Removed in clause preprocessing : 0
% 0.23/0.75 % Initial clauses in saturation : 2
% 0.23/0.75 % Processed clauses : 2
% 0.23/0.75 % ...of these trivial : 0
% 0.23/0.75 % ...subsumed : 0
% 0.23/0.75 % ...remaining for further processing : 2
% 0.23/0.75 % Other redundant clauses eliminated : 0
% 0.23/0.75 % Clauses deleted for lack of memory : 0
% 0.23/0.75 % Backward-subsumed : 0
% 0.23/0.75 % Backward-rewritten : 0
% 0.23/0.75 % Generated clauses : 1
% 0.23/0.75 % ...of the previous two non-redundant : 0
% 0.23/0.75 % ...aggressively subsumed : 0
% 0.23/0.75 % Contextual simplify-reflections : 0
% 0.23/0.75 % Paramodulations : 1
% 0.23/0.75 % Factorizations : 0
% 0.23/0.75 % NegExts : 0
% 0.23/0.75 % Equation resolutions : 0
% 0.23/0.75 % Disequality decompositions : 0
% 0.23/0.75 % Total rewrite steps : 0
% 0.23/0.75 % ...of those cached : 0
% 0.23/0.75 % Propositional unsat checks : 0
% 0.23/0.75 % Propositional check models : 0
% 0.23/0.75 % Propositional check unsatisfiable : 0
% 0.23/0.75 % Propositional clauses : 0
% 0.23/0.75 % Propositional clauses after purity: 0
% 0.23/0.75 % Propositional unsat core size : 0
% 0.23/0.75 % Propositional preprocessing time : 0.000
% 0.23/0.75 % Propositional encoding time : 0.000
% 0.23/0.75 % Propositional solver time : 0.000
% 0.23/0.75 % Success case prop preproc time : 0.000
% 0.23/0.75 % Success case prop encoding time : 0.000
% 0.23/0.75 % Success case prop solver time : 0.000
% 0.23/0.75 % Current number of processed clauses : 2
% 0.23/0.75 % Positive orientable unit clauses : 1
% 0.23/0.75 % Positive unorientable unit clauses: 0
% 0.23/0.75 % Negative unit clauses : 1
% 0.23/0.75 % Non-unit-clauses : 0
% 0.23/0.75 % Current number of unprocessed clauses: 0
% 0.23/0.75 % ...number of literals in the above : 0
% 0.23/0.75 % Current number of archived formulas : 0
% 0.23/0.75 % Current number of archived clauses : 0
% 0.23/0.75 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.75 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.75 % Non-unit clause-clause subsumptions : 0
% 0.23/0.75 % Unit Clause-clause subsumption calls : 0
% 0.23/0.75 % Rewrite failures with RHS unbound : 0
% 0.23/0.75 % BW rewrite match attempts : 0
% 0.23/0.75 % BW rewrite match successes : 0
% 0.23/0.75 % Condensation attempts : 0
% 0.23/0.75 % Condensation successes : 0
% 0.23/0.75 % Termbank termtop insertions : 116
% 0.23/0.75 % Search garbage collected termcells : 45
% 0.23/0.75
% 0.23/0.75 % -------------------------------------------------
% 0.23/0.75 % User time : 0.003 s
% 0.23/0.75 % System time : 0.003 s
% 0.23/0.75 % Total time : 0.006 s
% 0.23/0.75 % Maximum resident set size: 3624 pages
% 0.23/0.75
% 0.23/0.75 % -------------------------------------------------
% 0.23/0.75 % User time : 0.009 s
% 0.23/0.75 % System time : 0.011 s
% 0.23/0.75 % Total time : 0.020 s
% 0.23/0.75 % Maximum resident set size: 4608 pages
% 0.23/0.75 % E exiting
%------------------------------------------------------------------------------