%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT031-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:04:06 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.51s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 4 RR)
% Number of literals : 20 ( 19 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 41 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
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(dist_meet,hypothesis,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_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(dist_join,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dist_join) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_0_6,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_7,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_8,hypothesis,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
dist_meet ).
cnf(c_0_9,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_10,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,hypothesis,
join(meet(X1,X2),meet(X3,X1)) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
inference(fof_simplification,[status(thm)],[dist_join]) ).
cnf(c_0_14,hypothesis,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X1,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_15,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_16,hypothesis,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_17,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
c_0_13 ).
cnf(c_0_18,hypothesis,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT031-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.39 % Computer : n008.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Sun Sep 20 23:08:35 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/10.44 Running first-order theorem proving
% 0.15/10.44 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
% 0.15/10.51 % Version: 3.5.1
% 0.15/10.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/10.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/10.51 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.51 % Starting new_bool_1 with 300s (1) cores
% 0.15/10.51 % Starting sh5l with 300s (1) cores
% 0.15/10.51 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3794852 completed with status 0
% 0.15/10.51 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/10.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/10.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/10.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.51 % No SInE strategy applied
% 0.15/10.51 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.15/10.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.51 % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/10.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/10.51 % Starting new_bool_3 with 136s (1) cores
% 0.15/10.51 % Starting new_bool_1 with 136s (1) cores
% 0.15/10.51 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3794859 completed with status 0
% 0.15/10.51 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.15/10.51 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/10.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/10.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/10.51 % No SInE strategy applied
% 0.15/10.51 % Search class: FUUPM-FFSF22-SFFFFFNN
% 0.15/10.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/10.51 % Starting SubtermCWHack with 136s (1) cores
% 0.15/10.51 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/10.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/10.51 % Preprocessing time : 0.001 s
% 0.15/10.51 % Presaturation interreduction done
% 0.15/10.51
% 0.15/10.51 % Proof found!
% 0.15/10.51 % SZS status Unsatisfiable
% 0.15/10.51 % SZS output start CNFRefutation
% See solution above
% 0.15/10.51 % Parsed axioms : 10
% 0.15/10.51 % Removed by relevancy pruning/SinE : 0
% 0.15/10.51 % Initial clauses : 10
% 0.15/10.51 % Removed in clause preprocessing : 0
% 0.15/10.51 % Initial clauses in saturation : 10
% 0.15/10.51 % Processed clauses : 481
% 0.15/10.51 % ...of these trivial : 141
% 0.15/10.51 % ...subsumed : 256
% 0.15/10.51 % ...remaining for further processing : 84
% 0.15/10.51 % Other redundant clauses eliminated : 0
% 0.15/10.51 % Clauses deleted for lack of memory : 0
% 0.15/10.51 % Backward-subsumed : 0
% 0.15/10.51 % Backward-rewritten : 6
% 0.15/10.51 % Generated clauses : 5308
% 0.15/10.51 % ...of the previous two non-redundant : 3115
% 0.15/10.51 % ...aggressively subsumed : 0
% 0.15/10.51 % Contextual simplify-reflections : 0
% 0.15/10.51 % Paramodulations : 5308
% 0.15/10.51 % Factorizations : 0
% 0.15/10.51 % NegExts : 0
% 0.15/10.51 % Equation resolutions : 0
% 0.15/10.51 % Disequality decompositions : 0
% 0.15/10.51 % Total rewrite steps : 6913
% 0.15/10.51 % ...of those cached : 4785
% 0.15/10.51 % Propositional unsat checks : 0
% 0.15/10.51 % Propositional check models : 0
% 0.15/10.51 % Propositional check unsatisfiable : 0
% 0.15/10.51 % Propositional clauses : 0
% 0.15/10.51 % Propositional clauses after purity: 0
% 0.15/10.51 % Propositional unsat core size : 0
% 0.15/10.51 % Propositional preprocessing time : 0.000
% 0.15/10.51 % Propositional encoding time : 0.000
% 0.15/10.51 % Propositional solver time : 0.000
% 0.15/10.51 % Success case prop preproc time : 0.000
% 0.15/10.51 % Success case prop encoding time : 0.000
% 0.15/10.51 % Success case prop solver time : 0.000
% 0.15/10.51 % Current number of processed clauses : 68
% 0.15/10.51 % Positive orientable unit clauses : 60
% 0.15/10.51 % Positive unorientable unit clauses: 8
% 0.15/10.51 % Negative unit clauses : 0
% 0.15/10.51 % Non-unit-clauses : 0
% 0.15/10.51 % Current number of unprocessed clauses: 2629
% 0.15/10.51 % ...number of literals in the above : 2629
% 0.15/10.51 % Current number of archived formulas : 0
% 0.15/10.51 % Current number of archived clauses : 16
% 0.15/10.51 % Clause-clause subsumption calls (NU) : 0
% 0.15/10.51 % Rec. Clause-clause subsumption calls : 0
% 0.15/10.51 % Non-unit clause-clause subsumptions : 0
% 0.15/10.51 % Unit Clause-clause subsumption calls : 27
% 0.15/10.51 % Rewrite failures with RHS unbound : 0
% 0.15/10.51 % BW rewrite match attempts : 310
% 0.15/10.51 % BW rewrite match successes : 202
% 0.15/10.51 % Condensation attempts : 0
% 0.15/10.51 % Condensation successes : 0
% 0.15/10.51 % Termbank termtop insertions : 42120
% 0.15/10.51 % Search garbage collected termcells : 2
% 0.15/10.51
% 0.15/10.51 % -------------------------------------------------
% 0.15/10.51 % User time : 0.043 s
% 0.15/10.51 % System time : 0.010 s
% 0.15/10.51 % Total time : 0.053 s
% 0.15/10.51 % Maximum resident set size: 3636 pages
% 0.15/10.51
% 0.15/10.51 % -------------------------------------------------
% 0.15/10.51 % User time : 0.233 s
% 0.15/10.51 % System time : 0.029 s
% 0.15/10.51 % Total time : 0.262 s
% 0.15/10.51 % Maximum resident set size: 4608 pages
% 0.15/10.51 % E exiting
%------------------------------------------------------------------------------