%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT147-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.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 : Fri Sep 25 01:55:35 PM UTC 2026
% Result : Unsatisfiable 85.29s 11.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 152
% Number of leaves : 10
% Syntax : Number of clauses : 296 ( 296 unt; 0 nHn; 8 RR)
% Number of literals : 296 ( 295 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 971 ( 118 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t7,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t68355,plain,
meet(X3,meet(X1,X2)) = meet(X1,meet(X2,X3)),
inference(step,[status(thm)],[t7,t13]) ).
cnf(t15,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(orient,[status(thm)],[t68355]) ).
cnf(t6,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t43,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t68356,plain,
join(X3,join(X1,X2)) = join(X1,join(X2,X3)),
inference(step,[status(thm)],[t6,t43]) ).
cnf(t46,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(orient,[status(thm)],[t68356]) ).
cnf(t8,axiom,
meet(X1,join(X2,meet(X3,join(X2,meet(X4,join(X2,X3)))))) = meet(X1,join(X2,meet(X3,X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t33,plain,
meet(X1,join(X2,meet(X3,join(X2,meet(X4,join(X2,X3)))))) = meet(X1,join(X2,meet(X3,X4))),
inference(orient,[status(thm)],[t8]) ).
cnf(t1,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t34,plain,
meet(join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))),join(X1,meet(X2,X3))) = join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))),
inference(cp,[status(thm)],[t33,t9]) ).
cnf(t68564,plain,
meet(join(X1,meet(X2,X3)),join(X1,meet(X2,join(X1,meet(X3,join(X1,X2)))))) = join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))),
inference(step,[status(thm)],[t34,t13]) ).
cnf(t68565,plain,
meet(join(X1,meet(X2,X3)),join(X1,meet(X2,X3))) = join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))),
inference(step,[status(thm)],[t68564,t33]) ).
cnf(t68566,plain,
join(X1,meet(X2,X3)) = join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))),
inference(step,[status(thm)],[t68565,t9]) ).
cnf(t2209,plain,
join(X1,meet(X2,join(X1,meet(X3,join(X1,X2))))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68566]) ).
cnf(t2284,plain,
join(X1,join(meet(X2,join(X1,meet(X3,join(X1,X2)))),X4)) = join(X4,join(X1,meet(X2,X3))),
inference(cp,[status(thm)],[t46,t2209]) ).
cnf(t68581,plain,
join(X1,join(X4,meet(X2,join(X1,meet(X3,join(X1,X2)))))) = join(X4,join(X1,meet(X2,X3))),
inference(step,[status(thm)],[t2284,t43]) ).
cnf(t68582,plain,
join(X1,join(X4,meet(X2,join(X1,meet(X3,join(X1,X2)))))) = join(X1,join(meet(X2,X3),X4)),
inference(step,[status(thm)],[t68581,t46]) ).
cnf(t68583,plain,
join(X1,join(X4,meet(X2,join(X1,meet(X3,join(X1,X2)))))) = join(X1,join(X4,meet(X2,X3))),
inference(step,[status(thm)],[t68582,t43]) ).
cnf(t3106,plain,
join(X1,join(X2,meet(X3,join(X1,meet(X4,join(X1,X3)))))) = join(X1,join(X2,meet(X3,X4))),
inference(orient,[status(thm)],[t68583]) ).
cnf(t0,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t49,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(cp,[status(thm)],[t46,t11]) ).
cnf(t68359,plain,
join(X1,join(X1,X2)) = join(X2,X1),
inference(step,[status(thm)],[t49,t46]) ).
cnf(t68360,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(step,[status(thm)],[t68359,t43]) ).
cnf(t74,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t68360]) ).
cnf(t80,plain,
meet(X1,join(X2,meet(join(X2,X3),X4))) = meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(X4,join(X2,X3)))))),
inference(cp,[status(thm)],[t33,t74]) ).
cnf(t68421,plain,
meet(X1,join(X2,meet(X4,join(X2,X3)))) = meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(X4,join(X2,X3)))))),
inference(step,[status(thm)],[t80,t13]) ).
cnf(t215,plain,
meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(X4,join(X2,X3)))))) = meet(X1,join(X2,meet(X4,join(X2,X3)))),
inference(orient,[status(thm)],[t68421]) ).
cnf(t218,plain,
meet(X1,join(X2,meet(X3,join(X2,meet(X4,join(X2,X3)))))) = meet(X1,join(X2,meet(join(X2,meet(X4,join(X2,X3))),join(X2,meet(X3,X4))))),
inference(cp,[status(thm)],[t215,t33]) ).
cnf(t68460,plain,
meet(X1,join(X2,meet(X3,X4))) = meet(X1,join(X2,meet(join(X2,meet(X4,join(X2,X3))),join(X2,meet(X3,X4))))),
inference(step,[status(thm)],[t218,t33]) ).
cnf(t68461,plain,
meet(X1,join(X2,meet(X3,X4))) = meet(X1,join(X2,meet(join(X2,meet(X3,X4)),join(X2,meet(X4,join(X2,X3)))))),
inference(step,[status(thm)],[t68460,t13]) ).
cnf(t340,plain,
meet(X1,join(X2,meet(join(X2,meet(X3,X4)),join(X2,meet(X4,join(X2,X3)))))) = meet(X1,join(X2,meet(X3,X4))),
inference(orient,[status(thm)],[t68461]) ).
cnf(t5,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t355,plain,
meet(X1,join(X2,meet(X3,join(X3,X4)))) = meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(join(X3,X4),join(X2,X3)))))),
inference(cp,[status(thm)],[t340,t10]) ).
cnf(t68464,plain,
meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(join(X3,X4),join(X2,X3)))))),
inference(step,[status(thm)],[t355,t10]) ).
cnf(t68465,plain,
meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(join(X3,X4),join(X2,X3)))),
inference(step,[status(thm)],[t68464,t215]) ).
cnf(t68466,plain,
meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(join(X2,X3),join(X3,X4)))),
inference(step,[status(thm)],[t68465,t13]) ).
cnf(t414,plain,
meet(X1,join(X2,meet(join(X2,X3),join(X3,X4)))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t68466]) ).
cnf(t416,plain,
meet(join(X1,meet(join(X1,X2),join(X2,X3))),join(X1,X2)) = join(X1,meet(join(X1,X2),join(X2,X3))),
inference(cp,[status(thm)],[t414,t9]) ).
cnf(t68491,plain,
meet(join(X1,X2),join(X1,meet(join(X1,X2),join(X2,X3)))) = join(X1,meet(join(X1,X2),join(X2,X3))),
inference(step,[status(thm)],[t416,t13]) ).
cnf(t68492,plain,
meet(join(X1,X2),join(X1,X2)) = join(X1,meet(join(X1,X2),join(X2,X3))),
inference(step,[status(thm)],[t68491,t414]) ).
cnf(t68493,plain,
join(X1,X2) = join(X1,meet(join(X1,X2),join(X2,X3))),
inference(step,[status(thm)],[t68492,t9]) ).
cnf(t751,plain,
join(X1,meet(join(X1,X2),join(X2,X3))) = join(X1,X2),
inference(orient,[status(thm)],[t68493]) ).
cnf(t795,plain,
join(X1,join(meet(join(X1,X2),join(X2,X3)),X4)) = join(X4,join(X1,X2)),
inference(cp,[status(thm)],[t46,t751]) ).
cnf(t68494,plain,
join(X1,join(X4,meet(join(X1,X2),join(X2,X3)))) = join(X4,join(X1,X2)),
inference(step,[status(thm)],[t795,t43]) ).
cnf(t68495,plain,
join(X1,join(X4,meet(join(X1,X2),join(X2,X3)))) = join(X2,join(X4,X1)),
inference(step,[status(thm)],[t68494,t46]) ).
cnf(t68496,plain,
join(X1,join(X4,meet(join(X1,X2),join(X2,X3)))) = join(X1,join(X2,X4)),
inference(step,[status(thm)],[t68495,t46]) ).
cnf(t797,plain,
join(X1,join(X2,meet(join(X1,X3),join(X3,X4)))) = join(X1,join(X3,X2)),
inference(orient,[status(thm)],[t68496]) ).
cnf(t2250,plain,
join(X1,join(X2,X2)) = join(X1,join(X2,meet(join(X1,X2),X3))),
inference(cp,[status(thm)],[t797,t2209]) ).
cnf(t68567,plain,
join(X1,X2) = join(X1,join(X2,meet(join(X1,X2),X3))),
inference(step,[status(thm)],[t2250,t11]) ).
cnf(t68568,plain,
join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,X2)))),
inference(step,[status(thm)],[t68567,t13]) ).
cnf(t2286,plain,
join(X1,join(X2,meet(X3,join(X1,X2)))) = join(X1,X2),
inference(orient,[status(thm)],[t68568]) ).
cnf(t3107,plain,
join(X1,join(meet(X2,join(X1,X3)),meet(X3,X2))) = join(X1,meet(X2,join(X1,X3))),
inference(cp,[status(thm)],[t3106,t2286]) ).
cnf(t68584,plain,
join(X1,join(meet(X3,X2),meet(X2,join(X1,X3)))) = join(X1,meet(X2,join(X1,X3))),
inference(step,[status(thm)],[t3107,t43]) ).
cnf(t68585,plain,
join(X1,join(meet(X2,X3),meet(X2,join(X1,X3)))) = join(X1,meet(X2,join(X1,X3))),
inference(step,[status(thm)],[t68584,t13]) ).
cnf(t3211,plain,
join(X1,join(meet(X2,X3),meet(X2,join(X1,X3)))) = join(X1,meet(X2,join(X1,X3))),
inference(orient,[status(thm)],[t68585]) ).
cnf(t18,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(cp,[status(thm)],[t15,t9]) ).
cnf(t68357,plain,
meet(X1,meet(X1,X2)) = meet(X2,X1),
inference(step,[status(thm)],[t18,t15]) ).
cnf(t68358,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(step,[status(thm)],[t68357,t13]) ).
cnf(t66,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t68358]) ).
cnf(t3216,plain,
join(X1,meet(X2,join(X1,meet(X2,X3)))) = join(X1,join(meet(X2,X3),meet(X2,join(X1,meet(X2,X3))))),
inference(cp,[status(thm)],[t3211,t66]) ).
cnf(t68587,plain,
join(X1,meet(X2,join(X1,meet(X2,X3)))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t3216,t2286]) ).
cnf(t3401,plain,
join(X1,meet(X2,join(X1,meet(X2,X3)))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68587]) ).
cnf(t3455,plain,
meet(X1,join(X2,meet(X3,join(X2,meet(X3,X4))))) = meet(X1,join(X2,meet(join(X2,meet(X3,X4)),join(X2,meet(join(X2,meet(X3,X4)),join(X2,X3)))))),
inference(cp,[status(thm)],[t340,t3401]) ).
cnf(t68619,plain,
meet(X1,join(X2,meet(X3,X4))) = meet(X1,join(X2,meet(join(X2,meet(X3,X4)),join(X2,meet(join(X2,meet(X3,X4)),join(X2,X3)))))),
inference(step,[status(thm)],[t3455,t3401]) ).
cnf(t68620,plain,
meet(X1,join(X2,meet(X3,X4))) = meet(X1,join(X2,meet(join(X2,meet(X3,X4)),join(X2,X3)))),
inference(step,[status(thm)],[t68619,t3401]) ).
cnf(t68621,plain,
meet(X1,join(X2,meet(X3,X4))) = meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(X3,X4))))),
inference(step,[status(thm)],[t68620,t13]) ).
cnf(t4268,plain,
meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(X3,X4))))) = meet(X1,join(X2,meet(X3,X4))),
inference(orient,[status(thm)],[t68621]) ).
cnf(t4345,plain,
join(X1,meet(meet(X2,X3),join(X1,X2))) = join(X1,meet(meet(X2,X3),join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t2209,t4268]) ).
cnf(t347,plain,
meet(X1,join(X2,meet(X3,X3))) = meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(X3,join(X2,X3)))))),
inference(cp,[status(thm)],[t340,t9]) ).
cnf(t68462,plain,
meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(join(X2,X3),join(X2,meet(X3,join(X2,X3)))))),
inference(step,[status(thm)],[t347,t9]) ).
cnf(t68463,plain,
meet(X1,join(X2,X3)) = meet(X1,join(X2,meet(X3,join(X2,X3)))),
inference(step,[status(thm)],[t68462,t215]) ).
cnf(t389,plain,
meet(X1,join(X2,meet(X3,join(X2,X3)))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t68463]) ).
cnf(t390,plain,
meet(join(X1,meet(X2,join(X1,X2))),join(X1,X2)) = join(X1,meet(X2,join(X1,X2))),
inference(cp,[status(thm)],[t389,t9]) ).
cnf(t68467,plain,
meet(join(X1,X2),join(X1,meet(X2,join(X1,X2)))) = join(X1,meet(X2,join(X1,X2))),
inference(step,[status(thm)],[t390,t13]) ).
cnf(t68468,plain,
meet(join(X1,X2),join(X1,X2)) = join(X1,meet(X2,join(X1,X2))),
inference(step,[status(thm)],[t68467,t389]) ).
cnf(t68469,plain,
join(X1,X2) = join(X1,meet(X2,join(X1,X2))),
inference(step,[status(thm)],[t68468,t9]) ).
cnf(t444,plain,
join(X1,meet(X2,join(X1,X2))) = join(X1,X2),
inference(orient,[status(thm)],[t68469]) ).
cnf(t68622,plain,
join(X1,meet(meet(X2,X3),join(X1,X2))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t4345,t444]) ).
cnf(t4367,plain,
join(X1,meet(meet(X2,X3),join(X1,X2))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68622]) ).
cnf(t4373,plain,
join(X1,meet(X2,meet(X3,X4))) = join(X1,meet(meet(X3,meet(X4,X2)),join(X1,X2))),
inference(cp,[status(thm)],[t4367,t15]) ).
cnf(t68627,plain,
join(X1,meet(X2,meet(X3,X4))) = join(X1,meet(join(X1,X2),meet(X3,meet(X4,X2)))),
inference(step,[status(thm)],[t4373,t13]) ).
cnf(t68628,plain,
join(X1,meet(X2,meet(X3,X4))) = join(X1,meet(meet(X4,X2),meet(join(X1,X2),X3))),
inference(step,[status(thm)],[t68627,t15]) ).
cnf(t68629,plain,
join(X1,meet(X2,meet(X3,X4))) = join(X1,meet(X3,meet(meet(X4,X2),join(X1,X2)))),
inference(step,[status(thm)],[t68628,t15]) ).
cnf(t68630,plain,
join(X1,meet(X2,meet(X3,X4))) = join(X1,meet(X3,meet(meet(X2,X4),join(X1,X2)))),
inference(step,[status(thm)],[t68629,t13]) ).
cnf(t4713,plain,
join(X1,meet(X2,meet(meet(X3,X4),join(X1,X3)))) = join(X1,meet(X3,meet(X2,X4))),
inference(orient,[status(thm)],[t68630]) ).
cnf(t4794,plain,
join(X1,meet(X2,meet(meet(X3,X4),join(X1,X3)))) = join(X1,meet(X2,join(X1,meet(X3,meet(X2,X4))))),
inference(cp,[status(thm)],[t3401,t4713]) ).
cnf(t68638,plain,
join(X1,meet(X3,meet(X2,X4))) = join(X1,meet(X2,join(X1,meet(X3,meet(X2,X4))))),
inference(step,[status(thm)],[t4794,t4713]) ).
cnf(t5216,plain,
join(X1,meet(X2,join(X1,meet(X3,meet(X2,X4))))) = join(X1,meet(X3,meet(X2,X4))),
inference(orient,[status(thm)],[t68638]) ).
cnf(t4371,plain,
join(X1,meet(X2,X3)) = join(X1,meet(join(X1,X2),meet(X2,X3))),
inference(cp,[status(thm)],[t4367,t13]) ).
cnf(t68623,plain,
join(X1,meet(X2,X3)) = join(X1,meet(X3,meet(join(X1,X2),X2))),
inference(step,[status(thm)],[t4371,t15]) ).
cnf(t68624,plain,
join(X1,meet(X2,X3)) = join(X1,meet(X2,meet(X3,join(X1,X2)))),
inference(step,[status(thm)],[t68623,t15]) ).
cnf(t4481,plain,
join(X1,meet(X2,meet(X3,join(X1,X2)))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68624]) ).
cnf(t5220,plain,
join(X1,meet(X2,meet(X3,join(X1,X2)))) = join(X1,meet(X3,join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t5216,t4481]) ).
cnf(t68639,plain,
join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X1,meet(X2,X3)))),
inference(step,[status(thm)],[t5220,t4481]) ).
cnf(t5305,plain,
join(X1,meet(X2,join(X1,meet(X3,X2)))) = join(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t68639]) ).
cnf(t19,plain,
meet(join(X1,X2),meet(X3,X1)) = meet(X3,X1),
inference(cp,[status(thm)],[t15,t10]) ).
cnf(t68361,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X3,X1),
inference(step,[status(thm)],[t19,t15]) ).
cnf(t68362,plain,
meet(X1,meet(X3,join(X1,X2))) = meet(X3,X1),
inference(step,[status(thm)],[t68361,t13]) ).
cnf(t68363,plain,
meet(X1,meet(X3,join(X1,X2))) = meet(X1,X3),
inference(step,[status(thm)],[t68362,t13]) ).
cnf(t83,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(orient,[status(thm)],[t68363]) ).
cnf(t5331,plain,
join(X1,meet(X2,meet(X3,join(X2,X4)))) = join(X1,meet(meet(X3,join(X2,X4)),join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t5305,t83]) ).
cnf(t68655,plain,
join(X1,meet(X2,X3)) = join(X1,meet(meet(X3,join(X2,X4)),join(X1,meet(X2,X3)))),
inference(step,[status(thm)],[t5331,t83]) ).
cnf(t6672,plain,
join(X1,meet(meet(X2,join(X3,X4)),join(X1,meet(X3,X2)))) = join(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t68655]) ).
cnf(t3,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t6673,plain,
join(meet(X1,join(X2,X3)),meet(X2,X1)) = meet(X1,join(X2,X3)),
inference(cp,[status(thm)],[t6672,t12]) ).
cnf(t68656,plain,
join(meet(X2,X1),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)),
inference(step,[status(thm)],[t6673,t43]) ).
cnf(t68657,plain,
join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)),
inference(step,[status(thm)],[t68656,t13]) ).
cnf(t6803,plain,
join(meet(X1,X2),meet(X1,join(X2,X3))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t68657]) ).
cnf(t2232,plain,
join(X1,meet(join(X1,X2),X3)) = join(X1,meet(join(X1,X2),join(X1,meet(X3,join(X1,X2))))),
inference(cp,[status(thm)],[t2209,t74]) ).
cnf(t68578,plain,
join(X1,meet(X3,join(X1,X2))) = join(X1,meet(join(X1,X2),join(X1,meet(X3,join(X1,X2))))),
inference(step,[status(thm)],[t2232,t13]) ).
cnf(t2919,plain,
join(X1,meet(join(X1,X2),join(X1,meet(X3,join(X1,X2))))) = join(X1,meet(X3,join(X1,X2))),
inference(orient,[status(thm)],[t68578]) ).
cnf(t4340,plain,
join(X1,meet(join(X1,X2),join(X1,meet(X2,X3)))) = join(X1,meet(join(X1,meet(X2,X3)),join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t2919,t4268]) ).
cnf(t68625,plain,
join(X1,meet(join(X1,X2),join(X1,meet(X2,X3)))) = join(X1,join(X1,meet(X2,X3))),
inference(step,[status(thm)],[t4340,t9]) ).
cnf(t68626,plain,
join(X1,meet(join(X1,X2),join(X1,meet(X2,X3)))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t68625,t74]) ).
cnf(t4590,plain,
join(X1,meet(join(X1,X2),join(X1,meet(X2,X3)))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68626]) ).
cnf(t5348,plain,
join(X1,meet(X2,join(X1,meet(X3,X2)))) = join(X1,meet(join(X1,X2),join(X1,meet(X3,X2)))),
inference(cp,[status(thm)],[t4590,t5305]) ).
cnf(t68642,plain,
join(X1,meet(X3,X2)) = join(X1,meet(join(X1,X2),join(X1,meet(X3,X2)))),
inference(step,[status(thm)],[t5348,t5305]) ).
cnf(t5539,plain,
join(X1,meet(join(X1,X2),join(X1,meet(X3,X2)))) = join(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t68642]) ).
cnf(t5648,plain,
join(X1,meet(meet(X2,X3),join(X1,X3))) = join(X1,meet(meet(X2,X3),join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t2209,t5539]) ).
cnf(t68643,plain,
join(X1,meet(meet(X2,X3),join(X1,X3))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t5648,t444]) ).
cnf(t5690,plain,
join(X1,meet(meet(X2,X3),join(X1,X3))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68643]) ).
cnf(t6805,plain,
meet(X1,join(meet(X1,X2),X3)) = join(meet(X1,X2),meet(X1,join(meet(X1,X2),X3))),
inference(cp,[status(thm)],[t6803,t66]) ).
cnf(t68673,plain,
meet(X1,join(X3,meet(X1,X2))) = join(meet(X1,X2),meet(X1,join(meet(X1,X2),X3))),
inference(step,[status(thm)],[t6805,t43]) ).
cnf(t68674,plain,
meet(X1,join(X3,meet(X1,X2))) = join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))),
inference(step,[status(thm)],[t68673,t43]) ).
cnf(t7920,plain,
join(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,join(X3,meet(X1,X2))),
inference(orient,[status(thm)],[t68674]) ).
cnf(t7965,plain,
meet(X1,X2) = meet(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))),
inference(cp,[status(thm)],[t10,t7920]) ).
cnf(t68680,plain,
meet(X1,X2) = meet(X1,meet(join(X3,meet(X1,X2)),meet(X1,X2))),
inference(step,[status(thm)],[t7965,t15]) ).
cnf(t68681,plain,
meet(X1,X2) = meet(X1,meet(X2,meet(join(X3,meet(X1,X2)),X1))),
inference(step,[status(thm)],[t68680,t15]) ).
cnf(t68682,plain,
meet(X1,X2) = meet(X1,meet(X1,meet(X2,join(X3,meet(X1,X2))))),
inference(step,[status(thm)],[t68681,t15]) ).
cnf(t68683,plain,
meet(X1,X2) = meet(X1,meet(X2,join(X3,meet(X1,X2)))),
inference(step,[status(thm)],[t68682,t66]) ).
cnf(t8245,plain,
meet(X1,meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(orient,[status(thm)],[t68683]) ).
cnf(t8278,plain,
meet(X1,meet(X1,X2)) = meet(X1,meet(meet(X1,X2),join(X3,meet(X1,X2)))),
inference(cp,[status(thm)],[t8245,t66]) ).
cnf(t68684,plain,
meet(X1,X2) = meet(X1,meet(meet(X1,X2),join(X3,meet(X1,X2)))),
inference(step,[status(thm)],[t8278,t66]) ).
cnf(t8310,plain,
meet(X1,meet(meet(X1,X2),join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(orient,[status(thm)],[t68684]) ).
cnf(t8360,plain,
join(X1,meet(X2,meet(meet(X2,X3),join(X4,meet(X2,X3))))) = join(X1,meet(meet(X2,X3),join(X1,meet(meet(X2,X3),join(X4,meet(X2,X3)))))),
inference(cp,[status(thm)],[t5690,t8310]) ).
cnf(t68694,plain,
join(X1,meet(X2,X3)) = join(X1,meet(meet(X2,X3),join(X1,meet(meet(X2,X3),join(X4,meet(X2,X3)))))),
inference(step,[status(thm)],[t8360,t8310]) ).
cnf(t68695,plain,
join(X1,meet(X2,X3)) = join(X1,meet(meet(X2,X3),join(X4,meet(X2,X3)))),
inference(step,[status(thm)],[t68694,t3401]) ).
cnf(t8685,plain,
join(X1,meet(meet(X2,X3),join(X4,meet(X2,X3)))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68695]) ).
cnf(t8688,plain,
join(meet(meet(X1,X2),X3),meet(X1,X2)) = meet(meet(X1,X2),join(X3,meet(X1,X2))),
inference(cp,[status(thm)],[t8685,t6803]) ).
cnf(t68696,plain,
join(meet(X1,X2),meet(meet(X1,X2),X3)) = meet(meet(X1,X2),join(X3,meet(X1,X2))),
inference(step,[status(thm)],[t8688,t43]) ).
cnf(t68697,plain,
meet(X1,X2) = meet(meet(X1,X2),join(X3,meet(X1,X2))),
inference(step,[status(thm)],[t68696,t12]) ).
cnf(t8830,plain,
meet(meet(X1,X2),join(X3,meet(X1,X2))) = meet(X1,X2),
inference(orient,[status(thm)],[t68697]) ).
cnf(t8883,plain,
meet(meet(X1,X2),join(join(X3,meet(X1,X2)),X4)) = join(meet(X1,X2),meet(meet(X1,X2),join(join(X3,meet(X1,X2)),X4))),
inference(cp,[status(thm)],[t6803,t8830]) ).
cnf(t68698,plain,
meet(meet(X1,X2),join(X4,join(X3,meet(X1,X2)))) = join(meet(X1,X2),meet(meet(X1,X2),join(join(X3,meet(X1,X2)),X4))),
inference(step,[status(thm)],[t8883,t43]) ).
cnf(t68699,plain,
meet(meet(X1,X2),join(X3,join(meet(X1,X2),X4))) = join(meet(X1,X2),meet(meet(X1,X2),join(join(X3,meet(X1,X2)),X4))),
inference(step,[status(thm)],[t68698,t46]) ).
cnf(t68700,plain,
meet(meet(X1,X2),join(X3,join(X4,meet(X1,X2)))) = join(meet(X1,X2),meet(meet(X1,X2),join(join(X3,meet(X1,X2)),X4))),
inference(step,[status(thm)],[t68699,t43]) ).
cnf(t68701,plain,
meet(meet(X1,X2),join(X3,join(X4,meet(X1,X2)))) = meet(X1,X2),
inference(step,[status(thm)],[t68700,t12]) ).
cnf(t8926,plain,
meet(meet(X1,X2),join(X3,join(X4,meet(X1,X2)))) = meet(X1,X2),
inference(orient,[status(thm)],[t68701]) ).
cnf(t6714,plain,
join(X1,meet(X2,meet(X2,X3))) = join(X1,meet(meet(meet(X2,X3),join(X2,X4)),join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t6672,t66]) ).
cnf(t68658,plain,
join(X1,meet(X2,X3)) = join(X1,meet(meet(meet(X2,X3),join(X2,X4)),join(X1,meet(X2,X3)))),
inference(step,[status(thm)],[t6714,t66]) ).
cnf(t68659,plain,
join(X1,meet(X2,X3)) = join(X1,meet(meet(X2,X3),join(X2,X4))),
inference(step,[status(thm)],[t68658,t4367]) ).
cnf(t6918,plain,
join(X1,meet(meet(X2,X3),join(X2,X4))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68659]) ).
cnf(t6949,plain,
join(X1,meet(meet(X2,X3),join(X2,X4))) = join(X1,meet(join(X2,X4),join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t5305,t6918]) ).
cnf(t68663,plain,
join(X1,meet(X2,X3)) = join(X1,meet(join(X2,X4),join(X1,meet(X2,X3)))),
inference(step,[status(thm)],[t6949,t6918]) ).
cnf(t7239,plain,
join(X1,meet(join(X2,X3),join(X1,meet(X2,X4)))) = join(X1,meet(X2,X4)),
inference(orient,[status(thm)],[t68663]) ).
cnf(t7250,plain,
join(X1,meet(X2,join(X1,meet(X3,X2)))) = join(X1,meet(join(X2,X4),join(X1,meet(X3,X2)))),
inference(cp,[status(thm)],[t7239,t5305]) ).
cnf(t68665,plain,
join(X1,meet(X3,X2)) = join(X1,meet(join(X2,X4),join(X1,meet(X3,X2)))),
inference(step,[status(thm)],[t7250,t5305]) ).
cnf(t7465,plain,
join(X1,meet(join(X2,X3),join(X1,meet(X4,X2)))) = join(X1,meet(X4,X2)),
inference(orient,[status(thm)],[t68665]) ).
cnf(t7564,plain,
join(X1,meet(meet(X2,X3),join(X3,X4))) = join(X1,meet(meet(X2,X3),join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t2209,t7465]) ).
cnf(t68666,plain,
join(X1,meet(meet(X2,X3),join(X3,X4))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t7564,t444]) ).
cnf(t7607,plain,
join(X1,meet(meet(X2,X3),join(X3,X4))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68666]) ).
cnf(t7608,plain,
join(join(X1,X2),meet(X3,join(X1,X2))) = join(join(X1,X2),meet(X1,X3)),
inference(cp,[status(thm)],[t7607,t6672]) ).
cnf(t68667,plain,
join(join(X1,X2),meet(X3,join(X1,X2))) = join(meet(X1,X3),join(X1,X2)),
inference(step,[status(thm)],[t7608,t43]) ).
cnf(t68668,plain,
join(join(X1,X2),meet(X3,join(X1,X2))) = join(X2,join(meet(X1,X3),X1)),
inference(step,[status(thm)],[t68667,t46]) ).
cnf(t68669,plain,
join(join(X1,X2),meet(X3,join(X1,X2))) = join(X1,join(X2,meet(X1,X3))),
inference(step,[status(thm)],[t68668,t46]) ).
cnf(t50,plain,
join(meet(X1,X2),join(X3,X1)) = join(X3,X1),
inference(cp,[status(thm)],[t46,t12]) ).
cnf(t68364,plain,
join(X1,join(meet(X1,X2),X3)) = join(X3,X1),
inference(step,[status(thm)],[t50,t46]) ).
cnf(t68365,plain,
join(X1,join(X3,meet(X1,X2))) = join(X3,X1),
inference(step,[status(thm)],[t68364,t43]) ).
cnf(t68366,plain,
join(X1,join(X3,meet(X1,X2))) = join(X1,X3),
inference(step,[status(thm)],[t68365,t43]) ).
cnf(t93,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(orient,[status(thm)],[t68366]) ).
cnf(t68670,plain,
join(join(X1,X2),meet(X3,join(X1,X2))) = join(X1,X2),
inference(step,[status(thm)],[t68669,t93]) ).
cnf(t7733,plain,
join(join(X1,X2),meet(X3,join(X1,X2))) = join(X1,X2),
inference(orient,[status(thm)],[t68670]) ).
cnf(t7756,plain,
join(join(X1,X2),meet(X3,meet(X4,join(X1,X2)))) = join(join(X1,X2),meet(meet(X3,meet(X4,join(X1,X2))),join(X1,X2))),
inference(cp,[status(thm)],[t5690,t7733]) ).
cnf(t68672,plain,
join(join(X1,X2),meet(X3,meet(X4,join(X1,X2)))) = join(X1,X2),
inference(step,[status(thm)],[t7756,t7733]) ).
cnf(t7833,plain,
join(join(X1,X2),meet(X3,meet(X4,join(X1,X2)))) = join(X1,X2),
inference(orient,[status(thm)],[t68672]) ).
cnf(t8890,plain,
join(X1,meet(X2,X3)) = join(join(X1,meet(X2,X3)),meet(X4,meet(X2,X3))),
inference(cp,[status(thm)],[t7833,t8830]) ).
cnf(t68708,plain,
join(X1,meet(X2,X3)) = join(meet(X4,meet(X2,X3)),join(X1,meet(X2,X3))),
inference(step,[status(thm)],[t8890,t43]) ).
cnf(t68709,plain,
join(X1,meet(X2,X3)) = join(meet(X2,X3),join(meet(X4,meet(X2,X3)),X1)),
inference(step,[status(thm)],[t68708,t46]) ).
cnf(t68710,plain,
join(X1,meet(X2,X3)) = join(X1,join(meet(X2,X3),meet(X4,meet(X2,X3)))),
inference(step,[status(thm)],[t68709,t46]) ).
cnf(t68711,plain,
join(X1,meet(X2,X3)) = join(X1,join(meet(X2,X3),meet(X3,meet(X4,X2)))),
inference(step,[status(thm)],[t68710,t15]) ).
cnf(t68712,plain,
join(X1,meet(X2,X3)) = join(X1,join(meet(X2,X3),meet(X2,meet(X3,X4)))),
inference(step,[status(thm)],[t68711,t15]) ).
cnf(t9385,plain,
join(X1,join(meet(X2,X3),meet(X2,meet(X3,X4)))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68712]) ).
cnf(t9386,plain,
join(meet(X1,X2),meet(X1,X2)) = join(meet(X1,X2),meet(X1,meet(X2,X3))),
inference(cp,[status(thm)],[t9385,t74]) ).
cnf(t68713,plain,
meet(X1,X2) = join(meet(X1,X2),meet(X1,meet(X2,X3))),
inference(step,[status(thm)],[t9386,t11]) ).
cnf(t9477,plain,
join(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,X2),
inference(orient,[status(thm)],[t68713]) ).
cnf(t9509,plain,
meet(X1,meet(X2,X3)) = meet(meet(X1,meet(X2,X3)),join(X4,meet(X1,X2))),
inference(cp,[status(thm)],[t8926,t9477]) ).
cnf(t10282,plain,
meet(meet(X1,meet(X2,X3)),join(X4,meet(X1,X2))) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t9509]) ).
cnf(t842,plain,
join(X1,join(join(X2,meet(join(X1,X3),join(X3,X4))),Y4)) = join(Y4,join(X1,join(X3,X2))),
inference(cp,[status(thm)],[t46,t797]) ).
cnf(t68507,plain,
join(X1,join(Y4,join(X2,meet(join(X1,X3),join(X3,X4))))) = join(Y4,join(X1,join(X3,X2))),
inference(step,[status(thm)],[t842,t43]) ).
cnf(t68508,plain,
join(X1,join(X2,join(meet(join(X1,X3),join(X3,X4)),Y4))) = join(Y4,join(X1,join(X3,X2))),
inference(step,[status(thm)],[t68507,t46]) ).
cnf(t68509,plain,
join(X1,join(X2,join(Y4,meet(join(X1,X3),join(X3,X4))))) = join(Y4,join(X1,join(X3,X2))),
inference(step,[status(thm)],[t68508,t43]) ).
cnf(t68510,plain,
join(X1,join(X2,join(Y4,meet(join(X1,X3),join(X3,X4))))) = join(X1,join(join(X3,X2),Y4)),
inference(step,[status(thm)],[t68509,t46]) ).
cnf(t68511,plain,
join(X1,join(X2,join(Y4,meet(join(X1,X3),join(X3,X4))))) = join(X1,join(Y4,join(X3,X2))),
inference(step,[status(thm)],[t68510,t43]) ).
cnf(t68512,plain,
join(X1,join(X2,join(Y4,meet(join(X1,X3),join(X3,X4))))) = join(X1,join(X2,join(Y4,X3))),
inference(step,[status(thm)],[t68511,t46]) ).
cnf(t68513,plain,
join(X1,join(X2,join(Y4,meet(join(X1,X3),join(X3,X4))))) = join(X1,join(X2,join(X3,Y4))),
inference(step,[status(thm)],[t68512,t43]) ).
cnf(t998,plain,
join(X1,join(X2,join(X3,meet(join(X1,X4),join(X4,Y4))))) = join(X1,join(X2,join(X4,X3))),
inference(orient,[status(thm)],[t68513]) ).
cnf(t2260,plain,
join(X1,join(X2,join(X3,X3))) = join(X1,join(X2,join(X3,meet(join(X1,X3),X4)))),
inference(cp,[status(thm)],[t998,t2209]) ).
cnf(t68570,plain,
join(X1,join(X2,X3)) = join(X1,join(X2,join(X3,meet(join(X1,X3),X4)))),
inference(step,[status(thm)],[t2260,t11]) ).
cnf(t68571,plain,
join(X1,join(X2,X3)) = join(X1,join(X2,join(X3,meet(X4,join(X1,X3))))),
inference(step,[status(thm)],[t68570,t13]) ).
cnf(t2436,plain,
join(X1,join(X2,join(X3,meet(X4,join(X1,X3))))) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t68571]) ).
cnf(t2315,plain,
join(X1,join(X1,X2)) = join(X1,join(join(X1,X2),meet(X3,join(X1,X2)))),
inference(cp,[status(thm)],[t2286,t74]) ).
cnf(t68569,plain,
join(X1,X2) = join(X1,join(join(X1,X2),meet(X3,join(X1,X2)))),
inference(step,[status(thm)],[t2315,t74]) ).
cnf(t2371,plain,
join(X1,join(join(X1,X2),meet(X3,join(X1,X2)))) = join(X1,X2),
inference(orient,[status(thm)],[t68569]) ).
cnf(t2434,plain,
join(X1,join(join(join(X1,X2),meet(X3,join(X1,X2))),X4)) = join(X4,join(X1,X2)),
inference(cp,[status(thm)],[t46,t2371]) ).
cnf(t68575,plain,
join(X1,join(X4,join(join(X1,X2),meet(X3,join(X1,X2))))) = join(X4,join(X1,X2)),
inference(step,[status(thm)],[t2434,t43]) ).
cnf(t68576,plain,
join(X1,join(X4,join(join(X1,X2),meet(X3,join(X1,X2))))) = join(X2,join(X4,X1)),
inference(step,[status(thm)],[t68575,t46]) ).
cnf(t68577,plain,
join(X1,join(X4,join(join(X1,X2),meet(X3,join(X1,X2))))) = join(X1,join(X2,X4)),
inference(step,[status(thm)],[t68576,t46]) ).
cnf(t2763,plain,
join(X1,join(X2,join(join(X1,X3),meet(X4,join(X1,X3))))) = join(X1,join(X3,X2)),
inference(orient,[status(thm)],[t68577]) ).
cnf(t3419,plain,
join(X1,join(meet(X2,join(X1,meet(X2,X3))),X4)) = join(X1,join(X4,join(join(X1,meet(X2,X3)),meet(Y4,join(X1,meet(X2,join(X1,meet(X2,X3)))))))),
inference(cp,[status(thm)],[t2763,t3401]) ).
cnf(t68591,plain,
join(X1,join(X4,meet(X2,join(X1,meet(X2,X3))))) = join(X1,join(X4,join(join(X1,meet(X2,X3)),meet(Y4,join(X1,meet(X2,join(X1,meet(X2,X3)))))))),
inference(step,[status(thm)],[t3419,t43]) ).
cnf(t68592,plain,
join(X1,join(X4,meet(X2,join(X1,meet(X2,X3))))) = join(X1,join(X4,join(join(X1,meet(X2,X3)),meet(Y4,join(X1,meet(X2,X3)))))),
inference(step,[status(thm)],[t68591,t3401]) ).
cnf(t68593,plain,
join(X1,join(X4,meet(X2,join(X1,meet(X2,X3))))) = join(X1,join(meet(X2,X3),X4)),
inference(step,[status(thm)],[t68592,t2763]) ).
cnf(t68594,plain,
join(X1,join(X4,meet(X2,join(X1,meet(X2,X3))))) = join(X1,join(X4,meet(X2,X3))),
inference(step,[status(thm)],[t68593,t43]) ).
cnf(t3548,plain,
join(X1,join(X2,meet(X3,join(X1,meet(X3,X4))))) = join(X1,join(X2,meet(X3,X4))),
inference(orient,[status(thm)],[t68594]) ).
cnf(t6858,plain,
join(X1,join(meet(X2,X1),meet(X2,X3))) = join(X1,meet(X2,join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t3548,t6803]) ).
cnf(t68660,plain,
join(X1,join(meet(X1,X2),meet(X2,X3))) = join(X1,meet(X2,join(X1,meet(X2,X3)))),
inference(step,[status(thm)],[t6858,t13]) ).
cnf(t68661,plain,
join(X1,join(meet(X1,X2),meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t68660,t3401]) ).
cnf(t7024,plain,
join(X1,join(meet(X1,X2),meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68661]) ).
cnf(t7093,plain,
join(X1,join(X2,meet(X2,X3))) = join(X1,join(X2,meet(X3,join(X1,meet(X2,X3))))),
inference(cp,[status(thm)],[t2436,t7024]) ).
cnf(t68662,plain,
join(X1,X2) = join(X1,join(X2,meet(X3,join(X1,meet(X2,X3))))),
inference(step,[status(thm)],[t7093,t12]) ).
cnf(t7137,plain,
join(X1,join(X2,meet(X3,join(X1,meet(X2,X3))))) = join(X1,X2),
inference(orient,[status(thm)],[t68662]) ).
cnf(t8932,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(meet(X1,join(X2,meet(X3,X1))),join(X2,X3)),
inference(cp,[status(thm)],[t8926,t7137]) ).
cnf(t68737,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(meet(X1,join(X2,meet(X3,X1))),join(X2,X3)),
inference(step,[status(thm)],[t8932,t13]) ).
cnf(t68738,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(join(X2,X3),meet(X1,join(X2,meet(X3,X1)))),
inference(step,[status(thm)],[t68737,t13]) ).
cnf(t68739,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,meet(join(X2,meet(X3,X1)),join(X2,X3))),
inference(step,[status(thm)],[t68738,t15]) ).
cnf(t68740,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,meet(join(X2,X3),join(X2,meet(X3,X1)))),
inference(step,[status(thm)],[t68739,t13]) ).
cnf(t68741,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,meet(join(X2,X3),join(X2,meet(X1,X3)))),
inference(step,[status(thm)],[t68740,t13]) ).
cnf(t11064,plain,
meet(X1,meet(join(X2,X3),join(X2,meet(X1,X3)))) = meet(X1,join(X2,meet(X1,X3))),
inference(orient,[status(thm)],[t68741]) ).
cnf(t11118,plain,
meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,meet(join(X2,X3),join(X2,meet(X1,join(X2,X3))))),
inference(cp,[status(thm)],[t11064,t74]) ).
cnf(t68744,plain,
meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,join(X2,X3)),
inference(step,[status(thm)],[t11118,t8245]) ).
cnf(t11386,plain,
meet(X1,join(X2,meet(X1,join(X2,X3)))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t68744]) ).
cnf(t11449,plain,
meet(X1,meet(join(X2,meet(X1,join(X2,X3))),X4)) = meet(X4,meet(X1,join(X2,X3))),
inference(cp,[status(thm)],[t15,t11386]) ).
cnf(t68795,plain,
meet(X1,meet(X4,join(X2,meet(X1,join(X2,X3))))) = meet(X4,meet(X1,join(X2,X3))),
inference(step,[status(thm)],[t11449,t13]) ).
cnf(t68796,plain,
meet(X1,meet(X4,join(X2,meet(X1,join(X2,X3))))) = meet(X1,meet(join(X2,X3),X4)),
inference(step,[status(thm)],[t68795,t15]) ).
cnf(t68797,plain,
meet(X1,meet(X4,join(X2,meet(X1,join(X2,X3))))) = meet(X1,meet(X4,join(X2,X3))),
inference(step,[status(thm)],[t68796,t13]) ).
cnf(t15255,plain,
meet(X1,meet(X2,join(X3,meet(X1,join(X3,X4))))) = meet(X1,meet(X2,join(X3,X4))),
inference(orient,[status(thm)],[t68797]) ).
cnf(t11389,plain,
meet(X1,join(X2,meet(X3,join(X2,X1)))) = meet(X1,join(X2,meet(X1,X3))),
inference(cp,[status(thm)],[t11386,t2209]) ).
cnf(t68748,plain,
meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X1,X3))),
inference(step,[status(thm)],[t11389,t43]) ).
cnf(t11541,plain,
meet(X1,join(X2,meet(X3,join(X1,X2)))) = meet(X1,join(X2,meet(X1,X3))),
inference(orient,[status(thm)],[t68748]) ).
cnf(t11544,plain,
meet(X1,join(meet(X2,X3),meet(X1,X2))) = meet(X1,meet(X2,join(X1,meet(X2,X3)))),
inference(cp,[status(thm)],[t11541,t7920]) ).
cnf(t68749,plain,
meet(X1,join(meet(X1,X2),meet(X2,X3))) = meet(X1,meet(X2,join(X1,meet(X2,X3)))),
inference(step,[status(thm)],[t11544,t43]) ).
cnf(t68750,plain,
meet(X1,join(meet(X1,X2),meet(X2,X3))) = meet(X1,X2),
inference(step,[status(thm)],[t68749,t83]) ).
cnf(t11696,plain,
meet(X1,join(meet(X1,X2),meet(X2,X3))) = meet(X1,X2),
inference(orient,[status(thm)],[t68750]) ).
cnf(t11779,plain,
join(meet(join(X1,X2),X3),meet(X3,X1)) = join(meet(join(X1,X2),X3),meet(join(X1,X2),X3)),
inference(cp,[status(thm)],[t7465,t11696]) ).
cnf(t68754,plain,
join(meet(X3,X1),meet(join(X1,X2),X3)) = join(meet(join(X1,X2),X3),meet(join(X1,X2),X3)),
inference(step,[status(thm)],[t11779,t43]) ).
cnf(t68755,plain,
join(meet(X1,X3),meet(join(X1,X2),X3)) = join(meet(join(X1,X2),X3),meet(join(X1,X2),X3)),
inference(step,[status(thm)],[t68754,t13]) ).
cnf(t68756,plain,
join(meet(X1,X3),meet(X3,join(X1,X2))) = join(meet(join(X1,X2),X3),meet(join(X1,X2),X3)),
inference(step,[status(thm)],[t68755,t13]) ).
cnf(t68757,plain,
join(meet(X1,X3),meet(X3,join(X1,X2))) = meet(join(X1,X2),X3),
inference(step,[status(thm)],[t68756,t11]) ).
cnf(t68758,plain,
join(meet(X1,X3),meet(X3,join(X1,X2))) = meet(X3,join(X1,X2)),
inference(step,[status(thm)],[t68757,t13]) ).
cnf(t11966,plain,
join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t68758]) ).
cnf(t11984,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(join(X1,X2),join(X1,X3))),
inference(cp,[status(thm)],[t11966,t10]) ).
cnf(t12136,plain,
join(X1,meet(join(X1,X2),join(X1,X3))) = meet(join(X1,X2),join(X1,X3)),
inference(orient,[status(thm)],[t11984]) ).
cnf(t68759,plain,
meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X3,X2)),
inference(step,[status(thm)],[t5539,t12136]) ).
cnf(t12281,plain,
meet(join(X1,X2),join(X1,meet(X3,X2))) = join(X1,meet(X3,X2)),
inference(rw,[status(thm)],[t68759]) ).
cnf(t68762,plain,
meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X3,X2)),
inference(step,[status(thm)],[t12281,t13]) ).
cnf(t68763,plain,
meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t68762,t13]) ).
cnf(t12284,plain,
meet(join(X1,X2),join(X1,meet(X2,X3))) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t68763]) ).
cnf(t15265,plain,
meet(X1,meet(join(X2,X1),join(X2,X3))) = meet(X1,join(X2,meet(X1,join(X2,X3)))),
inference(cp,[status(thm)],[t15255,t12284]) ).
cnf(t68798,plain,
meet(X1,meet(join(X1,X2),join(X2,X3))) = meet(X1,join(X2,meet(X1,join(X2,X3)))),
inference(step,[status(thm)],[t15265,t43]) ).
cnf(t68799,plain,
meet(X1,meet(join(X1,X2),join(X2,X3))) = meet(X1,join(X2,X3)),
inference(step,[status(thm)],[t68798,t11386]) ).
cnf(t15365,plain,
meet(X1,meet(join(X1,X2),join(X2,X3))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t68799]) ).
cnf(t15478,plain,
meet(X1,meet(join(X1,X2),join(X2,X3))) = meet(meet(X1,join(X2,X3)),join(X4,meet(X1,join(X1,X2)))),
inference(cp,[status(thm)],[t10282,t15365]) ).
cnf(t68800,plain,
meet(X1,join(X2,X3)) = meet(meet(X1,join(X2,X3)),join(X4,meet(X1,join(X1,X2)))),
inference(step,[status(thm)],[t15478,t15365]) ).
cnf(t68801,plain,
meet(X1,join(X2,X3)) = meet(meet(X1,join(X2,X3)),join(X4,X1)),
inference(step,[status(thm)],[t68800,t10]) ).
cnf(t68802,plain,
meet(X1,join(X2,X3)) = meet(join(X4,X1),meet(X1,join(X2,X3))),
inference(step,[status(thm)],[t68801,t13]) ).
cnf(t68803,plain,
meet(X1,join(X2,X3)) = meet(join(X2,X3),meet(join(X4,X1),X1)),
inference(step,[status(thm)],[t68802,t15]) ).
cnf(t68804,plain,
meet(X1,join(X2,X3)) = meet(X1,meet(join(X2,X3),join(X4,X1))),
inference(step,[status(thm)],[t68803,t15]) ).
cnf(t68805,plain,
meet(X1,join(X2,X3)) = meet(X1,meet(join(X2,X3),join(X1,X4))),
inference(step,[status(thm)],[t68804,t43]) ).
cnf(t68806,plain,
meet(X1,join(X2,X3)) = meet(X1,meet(join(X1,X4),join(X2,X3))),
inference(step,[status(thm)],[t68805,t13]) ).
cnf(t15515,plain,
meet(X1,meet(join(X1,X2),join(X3,X4))) = meet(X1,join(X3,X4)),
inference(orient,[status(thm)],[t68806]) ).
cnf(t15519,plain,
meet(X1,join(X2,meet(X3,join(join(X1,X4),X2)))) = meet(X1,meet(join(X1,X4),join(X2,meet(join(X1,X4),X3)))),
inference(cp,[status(thm)],[t15515,t11541]) ).
cnf(t69137,plain,
meet(X1,join(X2,meet(X3,join(X2,join(X1,X4))))) = meet(X1,meet(join(X1,X4),join(X2,meet(join(X1,X4),X3)))),
inference(step,[status(thm)],[t15519,t43]) ).
cnf(t69138,plain,
meet(X1,join(X2,meet(X3,join(X1,join(X4,X2))))) = meet(X1,meet(join(X1,X4),join(X2,meet(join(X1,X4),X3)))),
inference(step,[status(thm)],[t69137,t46]) ).
cnf(t69139,plain,
meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,meet(join(X1,X4),join(X2,meet(join(X1,X4),X3)))),
inference(step,[status(thm)],[t69138,t43]) ).
cnf(t69140,plain,
meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(join(X1,X4),X3))),
inference(step,[status(thm)],[t69139,t15515]) ).
cnf(t69141,plain,
meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))),
inference(step,[status(thm)],[t69140,t13]) ).
cnf(t67484,plain,
meet(X1,join(X2,meet(X3,join(X1,join(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X4)))),
inference(orient,[status(thm)],[t69141]) ).
cnf(t67602,plain,
meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X3,join(X1,X2)))),
inference(cp,[status(thm)],[t67484,t12]) ).
cnf(t69144,plain,
meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X1,X3))),
inference(step,[status(thm)],[t67602,t11541]) ).
cnf(t68082,plain,
meet(X1,join(X2,meet(X3,join(X1,meet(X2,X4))))) = meet(X1,join(X2,meet(X1,X3))),
inference(orient,[status(thm)],[t69144]) ).
cnf(goal_0,negated_conjecture,
meet(a,meet(b,join(c,meet(d,join(a,meet(b,c)))))) != meet(a,meet(b,join(c,meet(a,d)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(b,meet(join(c,meet(d,join(a,meet(b,c)))),a)) != meet(a,meet(b,join(c,meet(a,d)))),
inference(rw,[status(thm)],[goal_0,t15]) ).
cnf(g0_1,plain,
meet(b,meet(a,join(c,meet(d,join(a,meet(b,c)))))) != meet(a,meet(b,join(c,meet(a,d)))),
inference(rw,[status(thm)],[g0_0,t13]) ).
cnf(g0_2,plain,
meet(b,meet(a,join(c,meet(d,join(a,meet(c,b)))))) != meet(a,meet(b,join(c,meet(a,d)))),
inference(rw,[status(thm)],[g0_1,t13]) ).
cnf(g0_3,plain,
meet(b,meet(a,join(c,meet(a,d)))) != meet(a,meet(b,join(c,meet(a,d)))),
inference(rw,[status(thm)],[g0_2,t68082]) ).
cnf(g0_4,plain,
meet(b,meet(a,join(c,meet(a,d)))) != meet(b,meet(join(c,meet(a,d)),a)),
inference(rw,[status(thm)],[g0_3,t15]) ).
cnf(g0_5,plain,
meet(b,meet(a,join(c,meet(a,d)))) != meet(b,meet(a,join(c,meet(a,d)))),
inference(rw,[status(thm)],[g0_4,t13]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT147-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.56 % Computer : n009.cluster.edu
% 0.17/0.56 % Model : x86_64 x86_64
% 0.17/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.56 % Memory : 8046.5625MB
% 0.17/0.56 % OS : Linux 6.8.0-71-generic
% 0.17/0.56 % CPULimit : 300
% 0.17/0.56 % WCLimit : 300
% 0.17/0.56 % DateTime : Wed Sep 23 20:22:59 UTC 2026
% 0.17/0.57 % CPUTime :
% 0.17/0.57 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 85.29/11.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.29/11.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------