%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT028-1 : 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 : n011.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 01:04:05 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 4 RR)
% Number of literals : 38 ( 37 equ; 3 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; 2 con; 0-2 aty)
% Number of variables : 84 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_2_2,axiom,
join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_2_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(wal_1_2,axiom,
meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_1_2) ).
cnf(commutativity_of_meet2,axiom,
meet2(X1,X2) = meet2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet2) ).
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(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(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',commutativity_of_meet) ).
cnf(idempotence_of_meet2,axiom,
meet2(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet2) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
cnf(name,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',name) ).
cnf(c_0_10,axiom,
join(join(meet2(X1,X2),meet2(X3,X2)),X2) = X2,
wal_2_2 ).
cnf(c_0_11,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_12,axiom,
meet2(meet2(join(X1,X2),join(X3,X2)),X2) = X2,
wal_1_2 ).
cnf(c_0_13,axiom,
meet2(X1,X2) = meet2(X2,X1),
commutativity_of_meet2 ).
cnf(c_0_14,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
wal_2 ).
cnf(c_0_15,axiom,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
wal_1 ).
cnf(c_0_16,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_17,plain,
join(X1,join(meet2(X2,X1),meet2(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
meet2(X1,meet2(join(X2,X1),join(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,axiom,
meet2(X1,X1) = X1,
idempotence_of_meet2 ).
cnf(c_0_20,plain,
join(X1,join(meet(X2,X1),meet(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_21,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_22,plain,
meet(X1,meet(join(X2,X1),join(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
join(X1,join(meet2(X2,X1),meet2(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_24,plain,
meet2(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
meet(join(meet2(X1,X2),meet2(X3,X2)),meet(X2,join(X4,join(meet2(X1,X2),meet2(X3,X2))))) = join(meet2(X1,X2),meet2(X3,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_27,plain,
join(X1,join(meet2(X1,X2),meet2(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_28,plain,
join(X1,join(meet(X2,X1),meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_29,plain,
meet2(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_13]) ).
cnf(c_0_30,plain,
meet(meet2(X1,X2),meet(X2,X1)) = meet2(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_21]),c_0_21]) ).
cnf(c_0_31,negated_conjecture,
meet(a,b) != meet2(a,b),
inference(fof_simplification,[status(thm)],[name]) ).
cnf(c_0_32,plain,
meet2(join(meet(X1,X2),meet(X3,X2)),meet2(X2,join(X4,join(meet(X1,X2),meet(X3,X2))))) = join(meet(X1,X2),meet(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_20]),c_0_13]) ).
cnf(c_0_33,plain,
join(X1,join(meet(X1,X2),meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_34,plain,
meet2(meet2(X1,X2),meet(X2,X1)) = meet2(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_13]) ).
cnf(c_0_35,negated_conjecture,
meet(a,b) != meet2(a,b),
c_0_31 ).
cnf(c_0_36,plain,
meet(X1,X2) = meet2(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_21]),c_0_13]),c_0_34]),c_0_21]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT028-1 : 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 : n011.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 23:07:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.45 % Version: 3.5.1
% 0.11/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % new_bool_3 with pid 389313 completed with status 0
% 0.11/0.45 % Result found by new_bool_3
% 0.11/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.45 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.11/0.45 % Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.45 % SubtermCWHack with pid 389318 completed with status 0
% 0.11/0.45 % Result found by SubtermCWHack
% 0.11/0.45 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.45 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.11/0.45 % Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.45 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.45 % Preprocessing time : 0.001 s
% 0.11/0.45
% 0.11/0.45 % Proof found!
% 0.11/0.45 % SZS status Unsatisfiable
% 0.11/0.45 % SZS output start CNFRefutation
% See solution above
% 0.11/0.45 % Parsed axioms : 11
% 0.11/0.45 % Removed by relevancy pruning/SinE : 0
% 0.11/0.45 % Initial clauses : 11
% 0.11/0.45 % Removed in clause preprocessing : 0
% 0.11/0.45 % Initial clauses in saturation : 11
% 0.11/0.45 % Processed clauses : 381
% 0.11/0.45 % ...of these trivial : 231
% 0.11/0.45 % ...subsumed : 59
% 0.11/0.45 % ...remaining for further processing : 91
% 0.11/0.45 % Other redundant clauses eliminated : 0
% 0.11/0.45 % Clauses deleted for lack of memory : 0
% 0.11/0.45 % Backward-subsumed : 0
% 0.11/0.45 % Backward-rewritten : 47
% 0.11/0.45 % Generated clauses : 5209
% 0.11/0.45 % ...of the previous two non-redundant : 2629
% 0.11/0.45 % ...aggressively subsumed : 0
% 0.11/0.45 % Contextual simplify-reflections : 0
% 0.11/0.45 % Paramodulations : 5209
% 0.11/0.45 % Factorizations : 0
% 0.11/0.45 % NegExts : 0
% 0.11/0.45 % Equation resolutions : 0
% 0.11/0.45 % Disequality decompositions : 0
% 0.11/0.45 % Total rewrite steps : 6880
% 0.11/0.45 % ...of those cached : 6097
% 0.11/0.45 % Propositional unsat checks : 0
% 0.11/0.45 % Propositional check models : 0
% 0.11/0.45 % Propositional check unsatisfiable : 0
% 0.11/0.45 % Propositional clauses : 0
% 0.11/0.45 % Propositional clauses after purity: 0
% 0.11/0.45 % Propositional unsat core size : 0
% 0.11/0.45 % Propositional preprocessing time : 0.000
% 0.11/0.45 % Propositional encoding time : 0.000
% 0.11/0.45 % Propositional solver time : 0.000
% 0.11/0.45 % Success case prop preproc time : 0.000
% 0.11/0.45 % Success case prop encoding time : 0.000
% 0.11/0.45 % Success case prop solver time : 0.000
% 0.11/0.45 % Current number of processed clauses : 44
% 0.11/0.45 % Positive orientable unit clauses : 42
% 0.11/0.45 % Positive unorientable unit clauses: 2
% 0.11/0.45 % Negative unit clauses : 0
% 0.11/0.45 % Non-unit-clauses : 0
% 0.11/0.45 % Current number of unprocessed clauses: 2248
% 0.11/0.45 % ...number of literals in the above : 2248
% 0.11/0.45 % Current number of archived formulas : 0
% 0.11/0.45 % Current number of archived clauses : 47
% 0.11/0.45 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.45 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.45 % Non-unit clause-clause subsumptions : 0
% 0.11/0.45 % Unit Clause-clause subsumption calls : 0
% 0.11/0.45 % Rewrite failures with RHS unbound : 0
% 0.11/0.45 % BW rewrite match attempts : 161
% 0.11/0.45 % BW rewrite match successes : 50
% 0.11/0.45 % Condensation attempts : 0
% 0.11/0.45 % Condensation successes : 0
% 0.11/0.45 % Termbank termtop insertions : 46093
% 0.11/0.45 % Search garbage collected termcells : 2
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.018 s
% 0.11/0.45 % System time : 0.004 s
% 0.11/0.45 % Total time : 0.022 s
% 0.11/0.45 % Maximum resident set size: 3636 pages
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.020 s
% 0.11/0.45 % System time : 0.007 s
% 0.11/0.45 % Total time : 0.027 s
% 0.11/0.45 % Maximum resident set size: 4864 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------