%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:05:19 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 4 RR)
% Number of literals : 21 ( 20 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mckenzie2,axiom,
meet(X1,join(X2,join(X1,X3))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie2) ).
cnf(mckenzie1,axiom,
join(X1,meet(X2,meet(X1,X3))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie1) ).
cnf(mckenzie3,axiom,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie3) ).
cnf(mckenzie4,axiom,
meet(meet(join(X1,X2),join(X2,X3)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie4) ).
cnf(prove_commutativity_of_meet,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_meet) ).
cnf(c_0_5,axiom,
meet(X1,join(X2,join(X1,X3))) = X1,
mckenzie2 ).
cnf(c_0_6,axiom,
join(X1,meet(X2,meet(X1,X3))) = X1,
mckenzie1 ).
cnf(c_0_7,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
mckenzie3 ).
cnf(c_0_9,plain,
meet(meet(X1,meet(X2,X3)),X2) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,axiom,
meet(meet(join(X1,X2),join(X2,X3)),X2) = X2,
mckenzie4 ).
cnf(c_0_11,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_12,plain,
join(meet(X1,X2),X2) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_13,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
meet(meet(X1,join(meet(X2,X1),X3)),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
join(meet(X1,X2),X1) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
meet(b,a) != meet(a,b),
inference(fof_simplification,[status(thm)],[prove_commutativity_of_meet]) ).
cnf(c_0_17,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
meet(b,a) != meet(a,b),
c_0_16 ).
cnf(c_0_19,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_17]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 23:05:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.43 % Version: 3.5.1
% 0.10/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.43 % Starting sh5l with 300s (1) cores
% 0.10/0.43 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 248454 completed with status 0
% 0.10/0.43 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.10/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.43 % No SInE strategy applied
% 0.10/0.43 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.10/0.43 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.10/0.43 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.10/0.43 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.10/0.43 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.10/0.43 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 248459 completed with status 0
% 0.10/0.43 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.10/0.43 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.43 % No SInE strategy applied
% 0.10/0.43 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.10/0.43 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.43 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.10/0.43 % Preprocessing time : 0.001 s
% 0.10/0.43
% 0.10/0.43 % Proof found!
% 0.10/0.43 % SZS status Unsatisfiable
% 0.10/0.43 % SZS output start CNFRefutation
% See solution above
% 0.10/0.43 % Parsed axioms : 5
% 0.10/0.43 % Removed by relevancy pruning/SinE : 0
% 0.10/0.43 % Initial clauses : 5
% 0.10/0.43 % Removed in clause preprocessing : 0
% 0.10/0.43 % Initial clauses in saturation : 5
% 0.10/0.43 % Processed clauses : 58
% 0.10/0.43 % ...of these trivial : 28
% 0.10/0.43 % ...subsumed : 0
% 0.10/0.43 % ...remaining for further processing : 30
% 0.10/0.43 % Other redundant clauses eliminated : 0
% 0.10/0.43 % Clauses deleted for lack of memory : 0
% 0.10/0.43 % Backward-subsumed : 0
% 0.10/0.43 % Backward-rewritten : 8
% 0.10/0.43 % Generated clauses : 633
% 0.10/0.43 % ...of the previous two non-redundant : 257
% 0.10/0.43 % ...aggressively subsumed : 0
% 0.10/0.43 % Contextual simplify-reflections : 0
% 0.10/0.43 % Paramodulations : 633
% 0.10/0.43 % Factorizations : 0
% 0.10/0.43 % NegExts : 0
% 0.10/0.43 % Equation resolutions : 0
% 0.10/0.43 % Disequality decompositions : 0
% 0.10/0.43 % Total rewrite steps : 498
% 0.10/0.43 % ...of those cached : 365
% 0.10/0.43 % Propositional unsat checks : 0
% 0.10/0.43 % Propositional check models : 0
% 0.10/0.43 % Propositional check unsatisfiable : 0
% 0.10/0.43 % Propositional clauses : 0
% 0.10/0.43 % Propositional clauses after purity: 0
% 0.10/0.43 % Propositional unsat core size : 0
% 0.10/0.43 % Propositional preprocessing time : 0.000
% 0.10/0.43 % Propositional encoding time : 0.000
% 0.10/0.43 % Propositional solver time : 0.000
% 0.10/0.43 % Success case prop preproc time : 0.000
% 0.10/0.43 % Success case prop encoding time : 0.000
% 0.10/0.43 % Success case prop solver time : 0.000
% 0.10/0.43 % Current number of processed clauses : 22
% 0.10/0.43 % Positive orientable unit clauses : 21
% 0.10/0.43 % Positive unorientable unit clauses: 1
% 0.10/0.43 % Negative unit clauses : 0
% 0.10/0.43 % Non-unit-clauses : 0
% 0.10/0.43 % Current number of unprocessed clauses: 201
% 0.10/0.43 % ...number of literals in the above : 201
% 0.10/0.43 % Current number of archived formulas : 0
% 0.10/0.43 % Current number of archived clauses : 8
% 0.10/0.43 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.43 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.43 % Non-unit clause-clause subsumptions : 0
% 0.10/0.43 % Unit Clause-clause subsumption calls : 9
% 0.10/0.43 % Rewrite failures with RHS unbound : 0
% 0.10/0.43 % BW rewrite match attempts : 103
% 0.10/0.43 % BW rewrite match successes : 52
% 0.10/0.43 % Condensation attempts : 0
% 0.10/0.43 % Condensation successes : 0
% 0.10/0.43 % Termbank termtop insertions : 3423
% 0.10/0.43 % Search garbage collected termcells : 2
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.003 s
% 0.10/0.43 % System time : 0.003 s
% 0.10/0.43 % Total time : 0.007 s
% 0.10/0.43 % Maximum resident set size: 3632 pages
% 0.10/0.43
% 0.10/0.43 % -------------------------------------------------
% 0.10/0.43 % User time : 0.022 s
% 0.10/0.43 % System time : 0.013 s
% 0.10/0.43 % Total time : 0.035 s
% 0.10/0.43 % Maximum resident set size: 4864 pages
% 0.10/0.43 % E exiting
%------------------------------------------------------------------------------