%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT026-1 : 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 : n012.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 01:05:22 PM UTC 2026
% Result : Unsatisfiable 6.07s 1.23s
% Output : CNFRefutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 5 RR)
% Number of literals : 53 ( 52 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 134 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_2,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',wal_2) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',commutativity_of_join) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
cnf(absorbtion,hypothesis,
meet(X1,join(X2,join(X1,X3))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorbtion) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',commutativity_of_meet) ).
cnf(wal_1,axiom,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',wal_1) ).
cnf(prove_associativity_of_meet,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_meet) ).
cnf(c_0_7,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
wal_2 ).
cnf(c_0_8,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_9,plain,
join(X1,join(meet(X2,X1),meet(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_11,hypothesis,
meet(X1,join(X2,join(X1,X3))) = X1,
absorbtion ).
cnf(c_0_12,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_14,hypothesis,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_15,axiom,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
wal_1 ).
cnf(c_0_16,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
meet(X1,join(join(X2,X1),X3)) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_18,plain,
meet(X1,meet(join(X2,X1),join(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_19,hypothesis,
meet(meet(X1,X2),join(X3,X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_20,hypothesis,
meet(meet(X1,X2),join(X2,X3)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_21,plain,
join(X1,join(meet(X2,X1),meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_22,hypothesis,
meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_23,plain,
meet(meet(X1,X2),meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_24,hypothesis,
join(join(X1,X2),meet(X2,X3)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_25,hypothesis,
join(join(X1,X2),meet(X3,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_26,plain,
meet(join(meet(X1,X2),meet(X3,X2)),meet(X2,join(X4,join(meet(X1,X2),meet(X3,X2))))) = join(meet(X1,X2),meet(X3,X2)),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_27,plain,
join(X1,join(meet(X1,X2),meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_28,hypothesis,
join(join(X1,X2),meet(X3,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_29,hypothesis,
meet(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
meet(X1,meet(join(X2,X1),join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_8]) ).
cnf(c_0_31,hypothesis,
join(meet(X1,X2),join(X2,X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_8,c_0_25]) ).
cnf(c_0_32,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_10]),c_0_10]) ).
cnf(c_0_33,hypothesis,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_12]) ).
cnf(c_0_34,hypothesis,
meet(meet(X1,X2),meet(join(X3,X1),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_13]) ).
cnf(c_0_35,plain,
meet(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_36,hypothesis,
join(meet(X1,X2),join(meet(X2,X1),X3)) = join(meet(X2,X1),X3),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,hypothesis,
join(meet(X1,X2),meet(X3,meet(X2,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_38,hypothesis,
meet(meet(X1,X2),meet(join(X3,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_13]) ).
cnf(c_0_39,hypothesis,
meet(meet(X1,X2),meet(X2,join(meet(X2,X1),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,hypothesis,
join(meet(X1,X2),meet(join(X3,X1),X2)) = meet(join(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_29]),c_0_8]) ).
cnf(c_0_41,hypothesis,
meet(meet(X1,X2),meet(X2,meet(X3,X1))) = meet(X2,meet(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_12]),c_0_13]) ).
cnf(c_0_42,hypothesis,
join(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X2,join(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_29]),c_0_8]) ).
cnf(c_0_43,hypothesis,
meet(meet(X1,X2),meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_16]),c_0_13]) ).
cnf(c_0_44,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(fof_simplification,[status(thm)],[prove_associativity_of_meet]) ).
cnf(c_0_45,hypothesis,
meet(X1,meet(join(X2,X1),X3)) = meet(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_46,hypothesis,
meet(X1,meet(X2,join(X3,X1))) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_43]) ).
cnf(c_0_47,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
c_0_44 ).
cnf(c_0_48,hypothesis,
meet(meet(X1,X2),meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_45,c_0_12]) ).
cnf(c_0_49,hypothesis,
meet(meet(X1,X2),meet(X3,X1)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_46,c_0_16]) ).
cnf(c_0_50,negated_conjecture,
meet(c,meet(a,b)) != meet(a,meet(b,c)),
inference(rw,[status(thm)],[c_0_47,c_0_13]) ).
cnf(c_0_51,hypothesis,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_48]),c_0_49]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT026-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 23:06:51 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.06/0.32 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
% 6.07/1.23 % Version: 3.5.1
% 6.07/1.23 % Preprocessing class: FSSSSMSSSSSNFFN.
% 6.07/1.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.07/1.23 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.07/1.23 % Starting new_bool_3 with 300s (1) cores
% 6.07/1.23 % Starting new_bool_1 with 300s (1) cores
% 6.07/1.23 % Starting sh5l with 300s (1) cores
% 6.07/1.23 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1049687 completed with status 0
% 6.07/1.23 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 6.07/1.23 % Preprocessing class: FSSSSMSSSSSNFFN.
% 6.07/1.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.07/1.23 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.07/1.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.07/1.23 % No SInE strategy applied
% 6.07/1.23 % Search class: FUUPM-FFSF22-MFFFFFNN
% 6.07/1.23 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 6.07/1.23 % Starting SubtermCWHack with 136s (1) cores
% 6.07/1.23 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 6.07/1.23 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 6.07/1.23 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.07/1.23 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.07/1.23 % E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with pid 1049694 completed with status 0
% 6.07/1.23 % Result found by E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S
% 6.07/1.23 % Preprocessing class: FSSSSMSSSSSNFFN.
% 6.07/1.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.07/1.23 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 6.07/1.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.07/1.23 % No SInE strategy applied
% 6.07/1.23 % Search class: FUUPM-FFSF22-MFFFFFNN
% 6.07/1.23 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 6.07/1.23 % Starting SubtermCWHack with 136s (1) cores
% 6.07/1.23 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 6.07/1.23 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 6.07/1.23 % Preprocessing time : 0.001 s
% 6.07/1.23 % Presaturation interreduction done
% 6.07/1.23
% 6.07/1.23 % Proof found!
% 6.07/1.23 % SZS status Unsatisfiable
% 6.07/1.23 % SZS output start CNFRefutation
% See solution above
% 6.07/1.23 % Parsed axioms : 8
% 6.07/1.23 % Removed by relevancy pruning/SinE : 0
% 6.07/1.23 % Initial clauses : 8
% 6.07/1.23 % Removed in clause preprocessing : 0
% 6.07/1.23 % Initial clauses in saturation : 8
% 6.07/1.23 % Processed clauses : 3223
% 6.07/1.23 % ...of these trivial : 1625
% 6.07/1.23 % ...subsumed : 1274
% 6.07/1.23 % ...remaining for further processing : 324
% 6.07/1.23 % Other redundant clauses eliminated : 0
% 6.07/1.23 % Clauses deleted for lack of memory : 0
% 6.07/1.23 % Backward-subsumed : 0
% 6.07/1.23 % Backward-rewritten : 69
% 6.07/1.23 % Generated clauses : 121624
% 6.07/1.23 % ...of the previous two non-redundant : 59286
% 6.07/1.23 % ...aggressively subsumed : 0
% 6.07/1.23 % Contextual simplify-reflections : 0
% 6.07/1.23 % Paramodulations : 121624
% 6.07/1.23 % Factorizations : 0
% 6.07/1.23 % NegExts : 0
% 6.07/1.23 % Equation resolutions : 0
% 6.07/1.23 % Disequality decompositions : 0
% 6.07/1.23 % Total rewrite steps : 99355
% 6.07/1.23 % ...of those cached : 79993
% 6.07/1.23 % Propositional unsat checks : 0
% 6.07/1.23 % Propositional check models : 0
% 6.07/1.23 % Propositional check unsatisfiable : 0
% 6.07/1.23 % Propositional clauses : 0
% 6.07/1.23 % Propositional clauses after purity: 0
% 6.07/1.23 % Propositional unsat core size : 0
% 6.07/1.23 % Propositional preprocessing time : 0.000
% 6.07/1.23 % Propositional encoding time : 0.000
% 6.07/1.23 % Propositional solver time : 0.000
% 6.07/1.23 % Success case prop preproc time : 0.000
% 6.07/1.23 % Success case prop encoding time : 0.000
% 6.07/1.23 % Success case prop solver time : 0.000
% 6.07/1.23 % Current number of processed clauses : 247
% 6.07/1.23 % Positive orientable unit clauses : 243
% 6.07/1.23 % Positive unorientable unit clauses: 4
% 6.07/1.23 % Negative unit clauses : 0
% 6.07/1.23 % Non-unit-clauses : 0
% 6.07/1.23 % Current number of unprocessed clauses: 56024
% 6.07/1.23 % ...number of literals in the above : 56024
% 6.07/1.23 % Current number of archived formulas : 0
% 6.07/1.23 % Current number of archived clauses : 77
% 6.07/1.23 % Clause-clause subsumption calls (NU) : 0
% 6.07/1.23 % Rec. Clause-clause subsumption calls : 0
% 6.07/1.23 % Non-unit clause-clause subsumptions : 0
% 6.07/1.23 % Unit Clause-clause subsumption calls : 141
% 6.07/1.23 % Rewrite failures with RHS unbound : 0
% 6.07/1.23 % BW rewrite match attempts : 1428
% 6.07/1.23 % BW rewrite match successes : 338
% 6.07/1.23 % Condensation attempts : 0
% 6.07/1.23 % Condensation successes : 0
% 6.07/1.23 % Termbank termtop insertions : 1031358
% 6.07/1.23 % Search garbage collected termcells : 2
% 6.07/1.23
% 6.07/1.23 % -------------------------------------------------
% 6.07/1.23 % User time : 0.803 s
% 6.07/1.23 % System time : 0.045 s
% 6.07/1.23 % Total time : 0.848 s
% 6.07/1.23 % Maximum resident set size: 3636 pages
% 6.07/1.23
% 6.07/1.23 % -------------------------------------------------
% 6.07/1.23 % User time : 4.010 s
% 6.07/1.23 % System time : 0.191 s
% 6.07/1.23 % Total time : 4.201 s
% 6.07/1.23 % Maximum resident set size: 4864 pages
% 6.07/1.23 % E exiting
%------------------------------------------------------------------------------