%------------------------------------------------------------------------------
% File : E---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 : n016.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 01:04:07 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : CNFRefutation 0.11s
% 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
% 0.00/0.03 % Problem : LAT039-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 23:12:37 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.44 % Version: 3.5.1
% 0.11/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % Starting sh5l with 300s (1) cores
% 0.11/0.44 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 996972 completed with status 0
% 0.11/0.44 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.11/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.44 % No SInE strategy applied
% 0.11/0.44 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.11/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.44 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 996980 completed with status 0
% 0.11/0.44 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.11/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.44 % No SInE strategy applied
% 0.11/0.44 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.11/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/0.44 % Preprocessing time : 0.001 s
% 0.11/0.44 % Presaturation interreduction done
% 0.11/0.44
% 0.11/0.44 % Proof found!
% 0.11/0.44 % SZS status Unsatisfiable
% 0.11/0.44 % SZS output start CNFRefutation
% See solution above
% 0.11/0.44 % Parsed axioms : 12
% 0.11/0.44 % Removed by relevancy pruning/SinE : 0
% 0.11/0.44 % Initial clauses : 12
% 0.11/0.44 % Removed in clause preprocessing : 0
% 0.11/0.44 % Initial clauses in saturation : 12
% 0.11/0.44 % Processed clauses : 57
% 0.11/0.44 % ...of these trivial : 11
% 0.11/0.44 % ...subsumed : 3
% 0.11/0.44 % ...remaining for further processing : 43
% 0.11/0.44 % Other redundant clauses eliminated : 0
% 0.11/0.44 % Clauses deleted for lack of memory : 0
% 0.11/0.44 % Backward-subsumed : 0
% 0.11/0.44 % Backward-rewritten : 1
% 0.11/0.44 % Generated clauses : 350
% 0.11/0.44 % ...of the previous two non-redundant : 163
% 0.11/0.44 % ...aggressively subsumed : 0
% 0.11/0.44 % Contextual simplify-reflections : 0
% 0.11/0.44 % Paramodulations : 350
% 0.11/0.44 % Factorizations : 0
% 0.11/0.44 % NegExts : 0
% 0.11/0.44 % Equation resolutions : 0
% 0.11/0.44 % Disequality decompositions : 0
% 0.11/0.44 % Total rewrite steps : 381
% 0.11/0.44 % ...of those cached : 225
% 0.11/0.44 % Propositional unsat checks : 0
% 0.11/0.44 % Propositional check models : 0
% 0.11/0.44 % Propositional check unsatisfiable : 0
% 0.11/0.44 % Propositional clauses : 0
% 0.11/0.44 % Propositional clauses after purity: 0
% 0.11/0.44 % Propositional unsat core size : 0
% 0.11/0.44 % Propositional preprocessing time : 0.000
% 0.11/0.44 % Propositional encoding time : 0.000
% 0.11/0.44 % Propositional solver time : 0.000
% 0.11/0.44 % Success case prop preproc time : 0.000
% 0.11/0.44 % Success case prop encoding time : 0.000
% 0.11/0.44 % Success case prop solver time : 0.000
% 0.11/0.44 % Current number of processed clauses : 30
% 0.11/0.44 % Positive orientable unit clauses : 28
% 0.11/0.44 % Positive unorientable unit clauses: 2
% 0.11/0.44 % Negative unit clauses : 0
% 0.11/0.44 % Non-unit-clauses : 0
% 0.11/0.44 % Current number of unprocessed clauses: 130
% 0.11/0.44 % ...number of literals in the above : 130
% 0.11/0.44 % Current number of archived formulas : 0
% 0.11/0.44 % Current number of archived clauses : 13
% 0.11/0.44 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.44 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.44 % Non-unit clause-clause subsumptions : 0
% 0.11/0.44 % Unit Clause-clause subsumption calls : 0
% 0.11/0.44 % Rewrite failures with RHS unbound : 0
% 0.11/0.44 % BW rewrite match attempts : 86
% 0.11/0.44 % BW rewrite match successes : 45
% 0.11/0.44 % Condensation attempts : 0
% 0.11/0.44 % Condensation successes : 0
% 0.11/0.44 % Termbank termtop insertions : 2766
% 0.11/0.44 % Search garbage collected termcells : 2
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.006 s
% 0.11/0.44 % System time : 0.003 s
% 0.11/0.44 % Total time : 0.009 s
% 0.11/0.44 % Maximum resident set size: 3636 pages
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.029 s
% 0.11/0.44 % System time : 0.014 s
% 0.11/0.44 % Total time : 0.043 s
% 0.11/0.44 % Maximum resident set size: 4608 pages
% 0.11/0.44 % E exiting
%------------------------------------------------------------------------------