%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT039-2 : TPTP v9.3.1. Released v2.4.0.
% 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 01:05:24 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.54s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 7 RR)
% Number of literals : 12 ( 11 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rhs,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhs) ).
cnf(lhs,hypothesis,
join(xx,yy) = yy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lhs) ).
cnf(dist_join,hypothesis,
join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_0_4,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
inference(fof_simplification,[status(thm)],[rhs]) ).
cnf(c_0_5,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
c_0_4 ).
cnf(c_0_6,hypothesis,
join(xx,yy) = yy,
lhs ).
cnf(c_0_7,hypothesis,
join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)),
dist_join ).
cnf(c_0_8,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_9,negated_conjecture,
meet(yy,join(xx,zz)) != join(xx,meet(yy,zz)),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,hypothesis,
meet(yy,join(xx,X1)) = join(xx,meet(X1,yy)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT039-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n026.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 23:10:36 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.49 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
% 0.26/0.54 % Version: 3.5.1
% 0.26/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.26/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.26/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.54 % Starting sh5l with 300s (1) cores
% 0.26/0.54 % sh5l with pid 794247 completed with status 0
% 0.26/0.54 % Result found by sh5l
% 0.26/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.26/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.26/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.54 % Starting sh5l with 300s (1) cores
% 0.26/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.26/0.54 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.26/0.54 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.26/0.54 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.54 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.54 % SubtermCWHack with pid 794255 completed with status 0
% 0.26/0.54 % Result found by SubtermCWHack
% 0.26/0.54 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.26/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.54 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.26/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.54 % Starting sh5l with 300s (1) cores
% 0.26/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.26/0.54 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.26/0.54 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.26/0.54 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.54 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.54 % Preprocessing time : 0.001 s
% 0.26/0.54
% 0.26/0.54 % Proof found!
% 0.26/0.54 % SZS status Unsatisfiable
% 0.26/0.54 % SZS output start CNFRefutation
% See solution above
% 0.26/0.54 % Parsed axioms : 12
% 0.26/0.54 % Removed by relevancy pruning/SinE : 0
% 0.26/0.54 % Initial clauses : 12
% 0.26/0.54 % Removed in clause preprocessing : 0
% 0.26/0.54 % Initial clauses in saturation : 12
% 0.26/0.54 % Processed clauses : 201
% 0.26/0.54 % ...of these trivial : 64
% 0.26/0.54 % ...subsumed : 66
% 0.26/0.54 % ...remaining for further processing : 71
% 0.26/0.54 % Other redundant clauses eliminated : 0
% 0.26/0.54 % Clauses deleted for lack of memory : 0
% 0.26/0.54 % Backward-subsumed : 0
% 0.26/0.54 % Backward-rewritten : 4
% 0.26/0.54 % Generated clauses : 3147
% 0.26/0.54 % ...of the previous two non-redundant : 1622
% 0.26/0.54 % ...aggressively subsumed : 0
% 0.26/0.54 % Contextual simplify-reflections : 0
% 0.26/0.54 % Paramodulations : 3147
% 0.26/0.54 % Factorizations : 0
% 0.26/0.54 % NegExts : 0
% 0.26/0.54 % Equation resolutions : 0
% 0.26/0.54 % Disequality decompositions : 0
% 0.26/0.54 % Total rewrite steps : 3834
% 0.26/0.54 % ...of those cached : 2623
% 0.26/0.54 % Propositional unsat checks : 0
% 0.26/0.54 % Propositional check models : 0
% 0.26/0.54 % Propositional check unsatisfiable : 0
% 0.26/0.54 % Propositional clauses : 0
% 0.26/0.54 % Propositional clauses after purity: 0
% 0.26/0.54 % Propositional unsat core size : 0
% 0.26/0.54 % Propositional preprocessing time : 0.000
% 0.26/0.54 % Propositional encoding time : 0.000
% 0.26/0.54 % Propositional solver time : 0.000
% 0.26/0.54 % Success case prop preproc time : 0.000
% 0.26/0.54 % Success case prop encoding time : 0.000
% 0.26/0.54 % Success case prop solver time : 0.000
% 0.26/0.54 % Current number of processed clauses : 67
% 0.26/0.54 % Positive orientable unit clauses : 61
% 0.26/0.54 % Positive unorientable unit clauses: 6
% 0.26/0.54 % Negative unit clauses : 0
% 0.26/0.54 % Non-unit-clauses : 0
% 0.26/0.54 % Current number of unprocessed clauses: 1431
% 0.26/0.54 % ...number of literals in the above : 1431
% 0.26/0.54 % Current number of archived formulas : 0
% 0.26/0.54 % Current number of archived clauses : 4
% 0.26/0.54 % Clause-clause subsumption calls (NU) : 0
% 0.26/0.54 % Rec. Clause-clause subsumption calls : 0
% 0.26/0.54 % Non-unit clause-clause subsumptions : 0
% 0.26/0.54 % Unit Clause-clause subsumption calls : 10
% 0.26/0.54 % Rewrite failures with RHS unbound : 0
% 0.26/0.54 % BW rewrite match attempts : 171
% 0.26/0.54 % BW rewrite match successes : 104
% 0.26/0.54 % Condensation attempts : 0
% 0.26/0.54 % Condensation successes : 0
% 0.26/0.54 % Termbank termtop insertions : 25142
% 0.26/0.54 % Search garbage collected termcells : 2
% 0.26/0.54
% 0.26/0.54 % -------------------------------------------------
% 0.26/0.54 % User time : 0.021 s
% 0.26/0.54 % System time : 0.006 s
% 0.26/0.54 % Total time : 0.027 s
% 0.26/0.54 % Maximum resident set size: 3636 pages
% 0.26/0.54
% 0.26/0.54 % -------------------------------------------------
% 0.26/0.54 % User time : 0.022 s
% 0.26/0.54 % System time : 0.011 s
% 0.26/0.54 % Total time : 0.033 s
% 0.26/0.54 % Maximum resident set size: 4608 pages
% 0.26/0.54 % E exiting
%------------------------------------------------------------------------------