%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT095-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:04:18 PM UTC 2026
% Result : Unsatisfiable 0.72s 0.58s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 2
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 4 RR)
% Number of literals : 47 ( 46 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 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 : 116 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_wal_axioms_4,negated_conjecture,
join(b,a) != join(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wal_axioms_4) ).
cnf(c_0_2,axiom,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
join(meet(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4),meet(join(meet(X1,join(join(meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X5),meet(X6,join(meet(X2,X3),meet(X3,join(X2,X3))))),join(meet(X2,X3),meet(X3,join(X2,X3))))),meet(X3,join(X1,join(join(meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X5),meet(X6,join(meet(X2,X3),meet(X3,join(X2,X3))))),join(meet(X2,X3),meet(X3,join(X2,X3))))))),join(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4))) = join(meet(X2,X3),meet(X3,join(X2,X3))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X6,join(join(meet(X2,X7),meet(X8,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X7),join(X8,X2)),X2)),meet(X9,join(X2,meet(meet(join(X2,X7),join(X8,X2)),X2)))),join(X6,join(join(meet(X2,X7),meet(X8,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_6,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_8,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_6]),c_0_6]),c_0_7]) ).
cnf(c_0_9,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_2]),c_0_2]),c_0_7]) ).
cnf(c_0_11,plain,
join(meet(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,X1)),X1)))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_11]) ).
cnf(c_0_13,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_15,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_16,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_17,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_2]),c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_18,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_13]) ).
cnf(c_0_19,plain,
join(meet(X1,X1),join(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_20,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_21,plain,
meet(join(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,plain,
join(X1,join(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_23,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_22]) ).
cnf(c_0_24,plain,
join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_25,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_16]),c_0_18]),c_0_16]),c_0_23]) ).
cnf(c_0_26,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_10]),c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_27,plain,
meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_18]),c_0_23]) ).
cnf(c_0_28,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_26]),c_0_25]),c_0_25]) ).
cnf(c_0_29,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_28]) ).
cnf(c_0_30,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_31,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_32,plain,
meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_33,plain,
meet(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
join(meet(X1,X2),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_33]),c_0_20]),c_0_33]),c_0_23]) ).
cnf(c_0_35,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_34]),c_0_23]) ).
cnf(c_0_36,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_28]) ).
cnf(c_0_37,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_35]) ).
cnf(c_0_38,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_39,plain,
join(join(X1,meet(X2,join(X3,X1))),join(X3,X1)) = join(X3,X1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_41,negated_conjecture,
join(b,a) != join(a,b),
inference(fof_simplification,[status(thm)],[prove_wal_axioms_4]) ).
cnf(c_0_42,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_43,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
join(b,a) != join(a,b),
c_0_41 ).
cnf(c_0_45,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_43]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT095-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:11:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.72/0.58 % Version: 3.5.1
% 0.72/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.72/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.72/0.58 % Starting new_bool_3 with 300s (1) cores
% 0.72/0.58 % Starting new_bool_1 with 300s (1) cores
% 0.72/0.58 % Starting sh5l with 300s (1) cores
% 0.72/0.58 % new_bool_3 with pid 2566493 completed with status 9
% 0.72/0.58 % new_bool_1 with pid 2566494 completed with status 9
% 0.72/0.58 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2566492 completed with status 0
% 0.72/0.58 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.72/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.72/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.72/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.72/0.58 % No SInE strategy applied
% 0.72/0.58 % Search class: FUUPF-FFSF22-DFFFFFNN
% 0.72/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.72/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.72/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.72/0.58 % Starting G----_0008_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.72/0.58 % Starting new_bool_3 with 136s (1) cores
% 0.72/0.58 % Starting G----_0015_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.72/0.58 % G----_0008_C18_F1_SE_CS_SP_S0Y with pid 2566500 completed with status 0
% 0.72/0.58 % Result found by G----_0008_C18_F1_SE_CS_SP_S0Y
% 0.72/0.58 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.72/0.58 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.72/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.72/0.58 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.72/0.58 % No SInE strategy applied
% 0.72/0.58 % Search class: FUUPF-FFSF22-DFFFFFNN
% 0.72/0.58 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.72/0.58 % Starting SubtermCWHack with 136s (1) cores
% 0.72/0.58 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.72/0.58 % Starting G----_0008_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.72/0.58 % Preprocessing time : 0.002 s
% 0.72/0.58
% 0.72/0.58 % Proof found!
% 0.72/0.58 % SZS status Unsatisfiable
% 0.72/0.58 % SZS output start CNFRefutation
% See solution above
% 0.72/0.58 % Parsed axioms : 2
% 0.72/0.58 % Removed by relevancy pruning/SinE : 0
% 0.72/0.58 % Initial clauses : 2
% 0.72/0.58 % Removed in clause preprocessing : 0
% 0.72/0.58 % Initial clauses in saturation : 2
% 0.72/0.58 % Processed clauses : 200
% 0.72/0.58 % ...of these trivial : 114
% 0.72/0.58 % ...subsumed : 5
% 0.72/0.58 % ...remaining for further processing : 81
% 0.72/0.58 % Other redundant clauses eliminated : 0
% 0.72/0.58 % Clauses deleted for lack of memory : 0
% 0.72/0.58 % Backward-subsumed : 0
% 0.72/0.58 % Backward-rewritten : 52
% 0.72/0.58 % Generated clauses : 4327
% 0.72/0.58 % ...of the previous two non-redundant : 2029
% 0.72/0.58 % ...aggressively subsumed : 0
% 0.72/0.58 % Contextual simplify-reflections : 0
% 0.72/0.58 % Paramodulations : 4327
% 0.72/0.58 % Factorizations : 0
% 0.72/0.58 % NegExts : 0
% 0.72/0.58 % Equation resolutions : 0
% 0.72/0.58 % Disequality decompositions : 0
% 0.72/0.58 % Total rewrite steps : 19509
% 0.72/0.58 % ...of those cached : 17941
% 0.72/0.58 % Propositional unsat checks : 0
% 0.72/0.58 % Propositional check models : 0
% 0.72/0.58 % Propositional check unsatisfiable : 0
% 0.72/0.58 % Propositional clauses : 0
% 0.72/0.58 % Propositional clauses after purity: 0
% 0.72/0.58 % Propositional unsat core size : 0
% 0.72/0.58 % Propositional preprocessing time : 0.000
% 0.72/0.58 % Propositional encoding time : 0.000
% 0.72/0.58 % Propositional solver time : 0.000
% 0.72/0.58 % Success case prop preproc time : 0.000
% 0.72/0.58 % Success case prop encoding time : 0.000
% 0.72/0.58 % Success case prop solver time : 0.000
% 0.72/0.58 % Current number of processed clauses : 29
% 0.72/0.58 % Positive orientable unit clauses : 27
% 0.72/0.58 % Positive unorientable unit clauses: 2
% 0.72/0.58 % Negative unit clauses : 0
% 0.72/0.58 % Non-unit-clauses : 0
% 0.72/0.58 % Current number of unprocessed clauses: 1691
% 0.72/0.58 % ...number of literals in the above : 1691
% 0.72/0.58 % Current number of archived formulas : 0
% 0.72/0.58 % Current number of archived clauses : 52
% 0.72/0.58 % Clause-clause subsumption calls (NU) : 0
% 0.72/0.58 % Rec. Clause-clause subsumption calls : 0
% 0.72/0.58 % Non-unit clause-clause subsumptions : 0
% 0.72/0.58 % Unit Clause-clause subsumption calls : 38
% 0.72/0.58 % Rewrite failures with RHS unbound : 0
% 0.72/0.58 % BW rewrite match attempts : 482
% 0.72/0.58 % BW rewrite match successes : 182
% 0.72/0.58 % Condensation attempts : 0
% 0.72/0.58 % Condensation successes : 0
% 0.72/0.58 % Termbank termtop insertions : 243140
% 0.72/0.58 % Search garbage collected termcells : 2
% 0.72/0.58
% 0.72/0.58 % -------------------------------------------------
% 0.72/0.58 % User time : 0.134 s
% 0.72/0.58 % System time : 0.010 s
% 0.72/0.58 % Total time : 0.144 s
% 0.72/0.58 % Maximum resident set size: 3640 pages
% 0.72/0.58
% 0.72/0.58 % -------------------------------------------------
% 0.72/0.58 % User time : 0.668 s
% 0.72/0.58 % System time : 0.066 s
% 0.72/0.58 % Total time : 0.734 s
% 0.72/0.58 % Maximum resident set size: 4864 pages
% 0.72/0.58 % E exiting
%------------------------------------------------------------------------------