%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT033-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:05:24 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.78s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 9 ( 8 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_join,negated_conjecture,
join(xx,xx) != xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
cnf(c_0_3,negated_conjecture,
join(xx,xx) != xx,
inference(fof_simplification,[status(thm)],[idempotence_of_join]) ).
cnf(c_0_4,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_5,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_6,negated_conjecture,
join(xx,xx) != xx,
c_0_3 ).
cnf(c_0_7,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT033-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.72 % Computer : n004.cluster.edu
% 0.11/0.72 % Model : x86_64 x86_64
% 0.11/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.72 % Memory : 8046.5625MB
% 0.11/0.72 % OS : Linux 6.8.0-71-generic
% 0.11/0.72 % CPULimit : 300
% 0.11/0.72 % WCLimit : 300
% 0.11/0.72 % DateTime : Sun Sep 20 23:07:36 UTC 2026
% 0.11/0.72 % CPUTime :
% 0.11/0.72 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.76 Running first-order theorem proving
% 0.11/0.76 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
% 0.11/0.78 % Version: 3.5.1
% 0.11/0.78 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.78 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.78 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.78 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.78 % Starting sh5l with 300s (1) cores
% 0.11/0.78 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1689490 completed with status 0
% 0.11/0.78 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.11/0.78 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.78 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.78 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.78 % No SInE strategy applied
% 0.11/0.78 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.11/0.78 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.78 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.78 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.11/0.78 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/0.78 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.78 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.78 % new_bool_1 with pid 1689498 completed with status 0
% 0.11/0.78 % Result found by new_bool_1
% 0.11/0.78 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.78 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.78 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.78 % No SInE strategy applied
% 0.11/0.78 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.11/0.78 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.78 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.78 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.11/0.78 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/0.78 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.78 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.78 % Preprocessing time : 0.001 s
% 0.11/0.78 % Presaturation interreduction done
% 0.11/0.78
% 0.11/0.78 % Proof found!
% 0.11/0.78 % SZS status Unsatisfiable
% 0.11/0.78 % SZS output start CNFRefutation
% See solution above
% 0.11/0.78 % Parsed axioms : 7
% 0.11/0.78 % Removed by relevancy pruning/SinE : 0
% 0.11/0.78 % Initial clauses : 7
% 0.11/0.78 % Removed in clause preprocessing : 0
% 0.11/0.78 % Initial clauses in saturation : 7
% 0.11/0.78 % Processed clauses : 14
% 0.11/0.78 % ...of these trivial : 0
% 0.11/0.78 % ...subsumed : 2
% 0.11/0.78 % ...remaining for further processing : 12
% 0.11/0.78 % Other redundant clauses eliminated : 0
% 0.11/0.78 % Clauses deleted for lack of memory : 0
% 0.11/0.78 % Backward-subsumed : 0
% 0.11/0.78 % Backward-rewritten : 1
% 0.11/0.78 % Generated clauses : 9
% 0.11/0.78 % ...of the previous two non-redundant : 6
% 0.11/0.78 % ...aggressively subsumed : 0
% 0.11/0.78 % Contextual simplify-reflections : 0
% 0.11/0.78 % Paramodulations : 9
% 0.11/0.78 % Factorizations : 0
% 0.11/0.78 % NegExts : 0
% 0.11/0.78 % Equation resolutions : 0
% 0.11/0.78 % Disequality decompositions : 0
% 0.11/0.78 % Total rewrite steps : 1
% 0.11/0.78 % ...of those cached : 0
% 0.11/0.78 % Propositional unsat checks : 0
% 0.11/0.78 % Propositional check models : 0
% 0.11/0.78 % Propositional check unsatisfiable : 0
% 0.11/0.78 % Propositional clauses : 0
% 0.11/0.78 % Propositional clauses after purity: 0
% 0.11/0.78 % Propositional unsat core size : 0
% 0.11/0.78 % Propositional preprocessing time : 0.000
% 0.11/0.78 % Propositional encoding time : 0.000
% 0.11/0.78 % Propositional solver time : 0.000
% 0.11/0.78 % Success case prop preproc time : 0.000
% 0.11/0.78 % Success case prop encoding time : 0.000
% 0.11/0.78 % Success case prop solver time : 0.000
% 0.11/0.78 % Current number of processed clauses : 4
% 0.11/0.78 % Positive orientable unit clauses : 3
% 0.11/0.78 % Positive unorientable unit clauses: 1
% 0.11/0.78 % Negative unit clauses : 0
% 0.11/0.78 % Non-unit-clauses : 0
% 0.11/0.78 % Current number of unprocessed clauses: 6
% 0.11/0.78 % ...number of literals in the above : 6
% 0.11/0.78 % Current number of archived formulas : 0
% 0.11/0.78 % Current number of archived clauses : 8
% 0.11/0.78 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.78 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.78 % Non-unit clause-clause subsumptions : 0
% 0.11/0.78 % Unit Clause-clause subsumption calls : 0
% 0.11/0.78 % Rewrite failures with RHS unbound : 0
% 0.11/0.78 % BW rewrite match attempts : 16
% 0.11/0.78 % BW rewrite match successes : 13
% 0.11/0.78 % Condensation attempts : 0
% 0.11/0.78 % Condensation successes : 0
% 0.11/0.78 % Termbank termtop insertions : 130
% 0.11/0.78 % Search garbage collected termcells : 2
% 0.11/0.78
% 0.11/0.78 % -------------------------------------------------
% 0.11/0.78 % User time : 0.002 s
% 0.11/0.78 % System time : 0.001 s
% 0.11/0.78 % Total time : 0.003 s
% 0.11/0.78 % Maximum resident set size: 3628 pages
% 0.11/0.78
% 0.11/0.78 % -------------------------------------------------
% 0.11/0.78 % User time : 0.008 s
% 0.11/0.78 % System time : 0.010 s
% 0.11/0.78 % Total time : 0.018 s
% 0.11/0.78 % Maximum resident set size: 4864 pages
% 0.11/0.78 % E exiting
%------------------------------------------------------------------------------