%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT237-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:04:31 PM UTC 2026
% Result : Unsatisfiable 1.57s 0.75s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 50 ( 47 unt; 0 nHn; 12 RR)
% Number of literals : 56 ( 55 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(complement_meet,axiom,
meet(X1,complement(X1)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_meet) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(prove_distributivity_hypothesis,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity_hypothesis) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(complement_join,axiom,
join(X1,complement(X1)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',complement_join) ).
cnf(equation_H40,axiom,
meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H40) ).
cnf(prove_distributivity,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(meet_join_complement,axiom,
( join(X1,X2) != one
| meet(X1,X2) != zero
| complement(X1) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-4.ax',meet_join_complement) ).
cnf(c_0_12,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_13,axiom,
meet(X1,complement(X1)) = zero,
complement_meet ).
cnf(c_0_14,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_15,plain,
join(X1,zero) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_17,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,hypothesis,
meet(b,a) = a,
prove_distributivity_hypothesis ).
cnf(c_0_19,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_20,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_21,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_22,plain,
meet(zero,X1) = zero,
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_23,hypothesis,
meet(a,b) = a,
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_12]),c_0_21]) ).
cnf(c_0_25,plain,
meet(X1,meet(complement(X1),X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_22]) ).
cnf(c_0_26,plain,
meet(X1,zero) = zero,
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_27,hypothesis,
meet(a,meet(b,X1)) = meet(a,X1),
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_28,plain,
meet(complement(X1),meet(X2,X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_21]) ).
cnf(c_0_29,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_30,hypothesis,
meet(a,join(b,X1)) = a,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_16]),c_0_23]) ).
cnf(c_0_31,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_32,axiom,
join(X1,complement(X1)) = one,
complement_join ).
cnf(c_0_33,plain,
meet(X1,complement(join(X2,X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_19]) ).
cnf(c_0_34,hypothesis,
join(b,join(X1,a)) = join(b,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_35,plain,
meet(X1,one) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_32]) ).
cnf(c_0_36,axiom,
meet(X1,join(X2,meet(X3,join(X1,X4)))) = meet(X1,join(X2,meet(X3,join(X4,meet(X3,join(X1,X2)))))),
equation_H40 ).
cnf(c_0_37,hypothesis,
meet(join(X1,a),complement(join(b,X1))) = zero,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
meet(one,X1) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
inference(fof_simplification,[status(thm)],[prove_distributivity]) ).
cnf(c_0_40,plain,
( join(X1,X2) != one
| meet(X1,X2) != zero
| complement(X1) = X2 ),
inference(fof_simplification,[status(thm)],[meet_join_complement]) ).
cnf(c_0_41,plain,
meet(X1,join(complement(X1),meet(X2,join(X1,X3)))) = meet(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_35]),c_0_20]) ).
cnf(c_0_42,hypothesis,
meet(complement(b),join(a,meet(b,X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_12]),c_0_14]),c_0_19]) ).
cnf(c_0_43,plain,
join(one,X1) = one,
inference(spm,[status(thm)],[c_0_16,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
c_0_39 ).
cnf(c_0_45,plain,
( join(X1,X2) != one
| meet(X1,X2) != zero
| complement(X1) = X2 ),
c_0_40 ).
cnf(c_0_46,hypothesis,
meet(a,join(complement(a),complement(b))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_15]),c_0_13]) ).
cnf(c_0_47,plain,
join(X1,join(complement(X1),X2)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_43]) ).
cnf(c_0_48,negated_conjecture,
join(complement(a),complement(b)) != complement(a),
inference(rw,[status(thm)],[c_0_44,c_0_14]) ).
cnf(c_0_49,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT237-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n026.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 20 23:25:06 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 1.57/0.75 % Version: 3.5.1
% 1.57/0.75 % Preprocessing class: FSSSSMSSSSSNFFN.
% 1.57/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.57/0.75 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.57/0.75 % Starting new_bool_3 with 300s (1) cores
% 1.57/0.75 % Starting new_bool_1 with 300s (1) cores
% 1.57/0.75 % Starting sh5l with 300s (1) cores
% 1.57/0.75 % sh5l with pid 812429 completed with status 0
% 1.57/0.75 % Result found by sh5l
% 1.57/0.75 % Preprocessing class: FSSSSMSSSSSNFFN.
% 1.57/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.57/0.75 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.57/0.75 % Starting new_bool_3 with 300s (1) cores
% 1.57/0.75 % Starting new_bool_1 with 300s (1) cores
% 1.57/0.75 % Starting sh5l with 300s (1) cores
% 1.57/0.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.57/0.75 % SinE strategy is gf500_gu_R04_F100_L20000
% 1.57/0.75 % Search class: FHUPM-FFSF21-DFFFFFNN
% 1.57/0.75 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.57/0.75 % Starting SubtermCWHack with 28s (1) cores
% 1.57/0.75 % SubtermCWHack with pid 812436 completed with status 0
% 1.57/0.75 % Result found by SubtermCWHack
% 1.57/0.75 % Preprocessing class: FSSSSMSSSSSNFFN.
% 1.57/0.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.57/0.75 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.57/0.75 % Starting new_bool_3 with 300s (1) cores
% 1.57/0.75 % Starting new_bool_1 with 300s (1) cores
% 1.57/0.75 % Starting sh5l with 300s (1) cores
% 1.57/0.75 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.57/0.75 % SinE strategy is gf500_gu_R04_F100_L20000
% 1.57/0.75 % Search class: FHUPM-FFSF21-DFFFFFNN
% 1.57/0.75 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.57/0.75 % Starting SubtermCWHack with 28s (1) cores
% 1.57/0.75 % Preprocessing time : 0.002 s
% 1.57/0.75
% 1.57/0.75 % Proof found!
% 1.57/0.75 % SZS status Unsatisfiable
% 1.57/0.75 % SZS output start CNFRefutation
% See solution above
% 1.57/0.75 % Parsed axioms : 14
% 1.57/0.75 % Removed by relevancy pruning/SinE : 0
% 1.57/0.75 % Initial clauses : 14
% 1.57/0.75 % Removed in clause preprocessing : 0
% 1.57/0.75 % Initial clauses in saturation : 14
% 1.57/0.75 % Processed clauses : 628
% 1.57/0.75 % ...of these trivial : 324
% 1.57/0.75 % ...subsumed : 116
% 1.57/0.75 % ...remaining for further processing : 188
% 1.57/0.75 % Other redundant clauses eliminated : 78
% 1.57/0.75 % Clauses deleted for lack of memory : 0
% 1.57/0.75 % Backward-subsumed : 5
% 1.57/0.75 % Backward-rewritten : 12
% 1.57/0.75 % Generated clauses : 14506
% 1.57/0.75 % ...of the previous two non-redundant : 5204
% 1.57/0.75 % ...aggressively subsumed : 0
% 1.57/0.75 % Contextual simplify-reflections : 0
% 1.57/0.75 % Paramodulations : 14428
% 1.57/0.75 % Factorizations : 0
% 1.57/0.75 % NegExts : 0
% 1.57/0.75 % Equation resolutions : 78
% 1.57/0.75 % Disequality decompositions : 0
% 1.57/0.75 % Total rewrite steps : 25962
% 1.57/0.75 % ...of those cached : 21329
% 1.57/0.75 % Propositional unsat checks : 0
% 1.57/0.75 % Propositional check models : 0
% 1.57/0.75 % Propositional check unsatisfiable : 0
% 1.57/0.75 % Propositional clauses : 0
% 1.57/0.75 % Propositional clauses after purity: 0
% 1.57/0.75 % Propositional unsat core size : 0
% 1.57/0.75 % Propositional preprocessing time : 0.000
% 1.57/0.75 % Propositional encoding time : 0.000
% 1.57/0.75 % Propositional solver time : 0.000
% 1.57/0.75 % Success case prop preproc time : 0.000
% 1.57/0.75 % Success case prop encoding time : 0.000
% 1.57/0.75 % Success case prop solver time : 0.000
% 1.57/0.75 % Current number of processed clauses : 171
% 1.57/0.75 % Positive orientable unit clauses : 151
% 1.57/0.75 % Positive unorientable unit clauses: 6
% 1.57/0.75 % Negative unit clauses : 3
% 1.57/0.75 % Non-unit-clauses : 11
% 1.57/0.75 % Current number of unprocessed clauses: 4556
% 1.57/0.75 % ...number of literals in the above : 5351
% 1.57/0.75 % Current number of archived formulas : 0
% 1.57/0.75 % Current number of archived clauses : 17
% 1.57/0.75 % Clause-clause subsumption calls (NU) : 24
% 1.57/0.75 % Rec. Clause-clause subsumption calls : 24
% 1.57/0.75 % Non-unit clause-clause subsumptions : 10
% 1.57/0.75 % Unit Clause-clause subsumption calls : 25
% 1.57/0.75 % Rewrite failures with RHS unbound : 0
% 1.57/0.75 % BW rewrite match attempts : 547
% 1.57/0.75 % BW rewrite match successes : 269
% 1.57/0.75 % Condensation attempts : 0
% 1.57/0.75 % Condensation successes : 0
% 1.57/0.75 % Termbank termtop insertions : 145395
% 1.57/0.75 % Search garbage collected termcells : 8
% 1.57/0.75
% 1.57/0.75 % -------------------------------------------------
% 1.57/0.75 % User time : 0.186 s
% 1.57/0.75 % System time : 0.016 s
% 1.57/0.75 % Total time : 0.202 s
% 1.57/0.75 % Maximum resident set size: 3644 pages
% 1.57/0.75
% 1.57/0.75 % -------------------------------------------------
% 1.57/0.75 % User time : 0.188 s
% 1.57/0.75 % System time : 0.022 s
% 1.57/0.75 % Total time : 0.210 s
% 1.57/0.75 % Maximum resident set size: 4864 pages
% 1.57/0.75 % E exiting
%------------------------------------------------------------------------------