%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT090-1 : 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 : 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 01:04:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 4 RR)
% Number of literals : 23 ( 22 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 38 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
cnf(wal_absorbtion_1,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
cnf(wal_absorbtion_2,axiom,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).
cnf(wal_absorbtion_3,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).
cnf(prove_normal_axioms_3,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
cnf(c_0_6,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
wal_absorbtion_4 ).
cnf(c_0_7,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
wal_absorbtion_5 ).
cnf(c_0_8,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
wal_absorbtion_1 ).
cnf(c_0_10,axiom,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
wal_absorbtion_2 ).
cnf(c_0_11,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
wal_absorbtion_3 ).
cnf(c_0_13,plain,
join(meet(X1,X1),join(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_6]) ).
cnf(c_0_14,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_6]),c_0_6]) ).
cnf(c_0_15,plain,
join(X1,meet(X1,join(meet(join(X1,X2),X1),X1))) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_16,negated_conjecture,
join(a,a) != a,
inference(fof_simplification,[status(thm)],[prove_normal_axioms_3]) ).
cnf(c_0_17,plain,
join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,join(X1,X2)),X1)) = meet(X1,join(X1,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_18,plain,
join(X1,join(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
join(a,a) != a,
c_0_16 ).
cnf(c_0_21,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]),c_0_19]),c_0_14]),c_0_14]),c_0_14]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:11:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.41 % Version: 3.5.1
% 0.13/0.41 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.41 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.41 % Starting sh5l with 300s (1) cores
% 0.13/0.41 % new_bool_1 with pid 3711702 completed with status 0
% 0.13/0.41 % Result found by new_bool_1
% 0.13/0.41 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.41 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.41 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.41 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.13/0.41 % Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.41 % Starting SubtermCWHack with 28s (1) cores
% 0.13/0.41 % SubtermCWHack with pid 3711708 completed with status 0
% 0.13/0.41 % Result found by SubtermCWHack
% 0.13/0.41 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.41 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.41 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.41 % Search class: FUUPM-FFSF22-MFFFFFNN
% 0.13/0.41 % Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.41 % Starting SubtermCWHack with 28s (1) cores
% 0.13/0.41 % Preprocessing time : 0.001 s
% 0.13/0.41
% 0.13/0.41 % Proof found!
% 0.13/0.41 % SZS status Unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation
% See solution above
% 0.13/0.41 % Parsed axioms : 6
% 0.13/0.41 % Removed by relevancy pruning/SinE : 0
% 0.13/0.41 % Initial clauses : 6
% 0.13/0.41 % Removed in clause preprocessing : 0
% 0.13/0.41 % Initial clauses in saturation : 6
% 0.13/0.41 % Processed clauses : 27
% 0.13/0.41 % ...of these trivial : 7
% 0.13/0.41 % ...subsumed : 0
% 0.13/0.41 % ...remaining for further processing : 20
% 0.13/0.41 % Other redundant clauses eliminated : 0
% 0.13/0.41 % Clauses deleted for lack of memory : 0
% 0.13/0.41 % Backward-subsumed : 0
% 0.13/0.41 % Backward-rewritten : 7
% 0.13/0.41 % Generated clauses : 173
% 0.13/0.41 % ...of the previous two non-redundant : 149
% 0.13/0.41 % ...aggressively subsumed : 0
% 0.13/0.41 % Contextual simplify-reflections : 0
% 0.13/0.41 % Paramodulations : 173
% 0.13/0.41 % Factorizations : 0
% 0.13/0.41 % NegExts : 0
% 0.13/0.41 % Equation resolutions : 0
% 0.13/0.41 % Disequality decompositions : 0
% 0.13/0.41 % Total rewrite steps : 79
% 0.13/0.41 % ...of those cached : 59
% 0.13/0.41 % Propositional unsat checks : 0
% 0.13/0.41 % Propositional check models : 0
% 0.13/0.41 % Propositional check unsatisfiable : 0
% 0.13/0.41 % Propositional clauses : 0
% 0.13/0.41 % Propositional clauses after purity: 0
% 0.13/0.41 % Propositional unsat core size : 0
% 0.13/0.41 % Propositional preprocessing time : 0.000
% 0.13/0.41 % Propositional encoding time : 0.000
% 0.13/0.41 % Propositional solver time : 0.000
% 0.13/0.41 % Success case prop preproc time : 0.000
% 0.13/0.41 % Success case prop encoding time : 0.000
% 0.13/0.41 % Success case prop solver time : 0.000
% 0.13/0.41 % Current number of processed clauses : 13
% 0.13/0.41 % Positive orientable unit clauses : 13
% 0.13/0.41 % Positive unorientable unit clauses: 0
% 0.13/0.41 % Negative unit clauses : 0
% 0.13/0.41 % Non-unit-clauses : 0
% 0.13/0.41 % Current number of unprocessed clauses: 126
% 0.13/0.41 % ...number of literals in the above : 126
% 0.13/0.41 % Current number of archived formulas : 0
% 0.13/0.41 % Current number of archived clauses : 7
% 0.13/0.41 % Clause-clause subsumption calls (NU) : 0
% 0.13/0.41 % Rec. Clause-clause subsumption calls : 0
% 0.13/0.41 % Non-unit clause-clause subsumptions : 0
% 0.13/0.41 % Unit Clause-clause subsumption calls : 0
% 0.13/0.41 % Rewrite failures with RHS unbound : 0
% 0.13/0.41 % BW rewrite match attempts : 48
% 0.13/0.41 % BW rewrite match successes : 5
% 0.13/0.41 % Condensation attempts : 0
% 0.13/0.41 % Condensation successes : 0
% 0.13/0.41 % Termbank termtop insertions : 1916
% 0.13/0.41 % Search garbage collected termcells : 2
% 0.13/0.41
% 0.13/0.41 % -------------------------------------------------
% 0.13/0.41 % User time : 0.003 s
% 0.13/0.41 % System time : 0.002 s
% 0.13/0.41 % Total time : 0.005 s
% 0.13/0.41 % Maximum resident set size: 3632 pages
% 0.13/0.41
% 0.13/0.41 % -------------------------------------------------
% 0.13/0.41 % User time : 0.004 s
% 0.13/0.41 % System time : 0.004 s
% 0.13/0.41 % Total time : 0.008 s
% 0.13/0.41 % Maximum resident set size: 4864 pages
% 0.13/0.41 % E exiting
%------------------------------------------------------------------------------