%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT143-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:04:21 PM UTC 2026
% Result : Unsatisfiable 41.70s 11.30s
% Output : CNFRefutation 41.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 34 ( 34 unt; 0 nHn; 6 RR)
% Number of literals : 34 ( 33 equ; 5 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 : 73 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(prove_H15,negated_conjecture,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H15) ).
cnf(equation_H24,axiom,
join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H24) ).
cnf(c_0_8,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_9,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_10,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_11,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_13,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_14,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_15,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]) ).
cnf(c_0_16,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_17,negated_conjecture,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
inference(fof_simplification,[status(thm)],[prove_H15]) ).
cnf(c_0_18,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_14]) ).
cnf(c_0_20,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_21,axiom,
join(meet(X1,X2),meet(X2,X3)) = join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X1,X2))))),
equation_H24 ).
cnf(c_0_22,plain,
meet(X1,meet(X2,join(meet(X1,X2),X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_23,negated_conjecture,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
c_0_17 ).
cnf(c_0_24,plain,
join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_9]) ).
cnf(c_0_25,plain,
meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_20]),c_0_13]) ).
cnf(c_0_26,plain,
join(meet(X1,X2),meet(X2,join(meet(X1,X2),meet(X3,join(X2,X1))))) = join(meet(X1,X2),meet(X2,X3)),
inference(spm,[status(thm)],[c_0_21,c_0_9]) ).
cnf(c_0_27,plain,
join(meet(X1,X2),meet(X2,join(meet(X1,X2),X3))) = meet(X2,join(meet(X1,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_22]),c_0_9]) ).
cnf(c_0_28,negated_conjecture,
meet(a,join(meet(a,b),meet(c,join(a,b)))) != meet(a,join(meet(a,b),meet(a,c))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
meet(X1,join(meet(X1,X2),meet(X1,X3))) = join(meet(X1,X2),meet(X1,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_30,plain,
meet(X1,join(meet(X2,X1),meet(X3,join(X1,X2)))) = join(meet(X2,X1),meet(X1,X3)),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
meet(a,join(meet(a,b),meet(c,join(a,b)))) != join(meet(a,b),meet(a,c)),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
meet(X1,join(meet(X1,X2),meet(X3,join(X1,X2)))) = join(meet(X1,X2),meet(X1,X3)),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT143-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.63 % Computer : n010.cluster.edu
% 0.16/5.63 % Model : x86_64 x86_64
% 0.16/5.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.63 % Memory : 8046.5625MB
% 0.16/5.63 % OS : Linux 6.8.0-71-generic
% 0.16/5.64 % CPULimit : 300
% 0.16/5.64 % WCLimit : 300
% 0.16/5.64 % DateTime : Sun Sep 20 23:15:46 UTC 2026
% 0.16/5.64 % CPUTime :
% 0.16/5.64 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.70 Running first-order theorem proving
% 0.20/5.70 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
% 41.70/11.30 % Version: 3.5.1
% 41.70/11.30 % Preprocessing class: FSSSSMSSSSSNFFN.
% 41.70/11.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.70/11.30 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 41.70/11.30 % Starting new_bool_3 with 300s (1) cores
% 41.70/11.30 % Starting new_bool_1 with 300s (1) cores
% 41.70/11.30 % Starting sh5l with 300s (1) cores
% 41.70/11.30 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3715837 completed with status 0
% 41.70/11.30 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 41.70/11.30 % Preprocessing class: FSSSSMSSSSSNFFN.
% 41.70/11.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.70/11.30 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 41.70/11.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 41.70/11.30 % No SInE strategy applied
% 41.70/11.30 % Search class: FUUPM-FFSF22-MFFFFFNN
% 41.70/11.30 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 41.70/11.30 % Starting SubtermCWHack with 136s (1) cores
% 41.70/11.30 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 41.70/11.30 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 41.70/11.30 % Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.70/11.30 % Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.70/11.30 % E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with pid 3715844 completed with status 0
% 41.70/11.30 % Result found by E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S
% 41.70/11.30 % Preprocessing class: FSSSSMSSSSSNFFN.
% 41.70/11.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.70/11.30 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 41.70/11.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 41.70/11.30 % No SInE strategy applied
% 41.70/11.30 % Search class: FUUPM-FFSF22-MFFFFFNN
% 41.70/11.30 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 41.70/11.30 % Starting SubtermCWHack with 136s (1) cores
% 41.70/11.30 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 41.70/11.30 % Starting E---G----_X1276__C12_02_nc_F1_AE_CS_SP_S5PRR_S2S with 136s (1) cores
% 41.70/11.30 % Preprocessing time : 0.002 s
% 41.70/11.30 % Presaturation interreduction done
% 41.70/11.30
% 41.70/11.30 % Proof found!
% 41.70/11.30 % SZS status Unsatisfiable
% 41.70/11.30 % SZS output start CNFRefutation
% See solution above
% 41.70/11.30 % Parsed axioms : 10
% 41.70/11.30 % Removed by relevancy pruning/SinE : 0
% 41.70/11.30 % Initial clauses : 10
% 41.70/11.30 % Removed in clause preprocessing : 0
% 41.70/11.30 % Initial clauses in saturation : 10
% 41.70/11.30 % Processed clauses : 8203
% 41.70/11.30 % ...of these trivial : 2603
% 41.70/11.30 % ...subsumed : 5210
% 41.70/11.30 % ...remaining for further processing : 390
% 41.70/11.30 % Other redundant clauses eliminated : 0
% 41.70/11.30 % Clauses deleted for lack of memory : 0
% 41.70/11.30 % Backward-subsumed : 0
% 41.70/11.30 % Backward-rewritten : 44
% 41.70/11.30 % Generated clauses : 191215
% 41.70/11.30 % ...of the previous two non-redundant : 124922
% 41.70/11.30 % ...aggressively subsumed : 0
% 41.70/11.30 % Contextual simplify-reflections : 0
% 41.70/11.30 % Paramodulations : 191215
% 41.70/11.30 % Factorizations : 0
% 41.70/11.30 % NegExts : 0
% 41.70/11.30 % Equation resolutions : 0
% 41.70/11.30 % Disequality decompositions : 0
% 41.70/11.30 % Total rewrite steps : 411454
% 41.70/11.30 % ...of those cached : 335553
% 41.70/11.30 % Propositional unsat checks : 0
% 41.70/11.30 % Propositional check models : 0
% 41.70/11.30 % Propositional check unsatisfiable : 0
% 41.70/11.30 % Propositional clauses : 0
% 41.70/11.30 % Propositional clauses after purity: 0
% 41.70/11.30 % Propositional unsat core size : 0
% 41.70/11.30 % Propositional preprocessing time : 0.000
% 41.70/11.30 % Propositional encoding time : 0.000
% 41.70/11.30 % Propositional solver time : 0.000
% 41.70/11.30 % Success case prop preproc time : 0.000
% 41.70/11.30 % Success case prop encoding time : 0.000
% 41.70/11.30 % Success case prop solver time : 0.000
% 41.70/11.30 % Current number of processed clauses : 336
% 41.70/11.30 % Positive orientable unit clauses : 326
% 41.70/11.30 % Positive unorientable unit clauses: 10
% 41.70/11.30 % Negative unit clauses : 0
% 41.70/11.30 % Non-unit-clauses : 0
% 41.70/11.30 % Current number of unprocessed clauses: 116515
% 41.70/11.30 % ...number of literals in the above : 116515
% 41.70/11.30 % Current number of archived formulas : 0
% 41.70/11.30 % Current number of archived clauses : 54
% 41.70/11.30 % Clause-clause subsumption calls (NU) : 0
% 41.70/11.30 % Rec. Clause-clause subsumption calls : 0
% 41.70/11.30 % Non-unit clause-clause subsumptions : 0
% 41.70/11.30 % Unit Clause-clause subsumption calls : 71
% 41.70/11.30 % Rewrite failures with RHS unbound : 0
% 41.70/11.30 % BW rewrite match attempts : 5194
% 41.70/11.30 % BW rewrite match successes : 317
% 41.70/11.30 % Condensation attempts : 0
% 41.70/11.30 % Condensation successes : 0
% 41.70/11.30 % Termbank termtop insertions : 2890753
% 41.70/11.30 % Search garbage collected termcells : 2
% 41.70/11.30
% 41.70/11.30 % -------------------------------------------------
% 41.70/11.30 % User time : 5.130 s
% 41.70/11.30 % System time : 0.180 s
% 41.70/11.30 % Total time : 5.309 s
% 41.70/11.30 % Maximum resident set size: 3640 pages
% 41.70/11.30
% 41.70/11.30 % -------------------------------------------------
% 41.70/11.30 % User time : 24.024 s
% 41.70/11.30 % System time : 0.908 s
% 41.70/11.30 % Total time : 24.932 s
% 41.70/11.30 % Maximum resident set size: 4864 pages
% 41.70/11.30 % E exiting
%------------------------------------------------------------------------------