%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 01:55:00 PM UTC 2026
% Result : Unsatisfiable 8.38s 1.69s
% Output : CNFRefutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 17
% Syntax : Number of clauses : 178 ( 178 unt; 0 nHn; 125 RR)
% Number of literals : 178 ( 177 equ; 26 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 89 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t8,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t49,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t8]) ).
cnf(t3,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t41,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t54,plain,
join(X1,join(X2,X3)) = join(join(X2,X1),X3),
inference(cp,[status(thm)],[t49,t41]) ).
cnf(t4185,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(step,[status(thm)],[t54,t49]) ).
cnf(t2027,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(orient,[status(thm)],[t4185]) ).
cnf(t51,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(cp,[status(thm)],[t49,t41]) ).
cnf(t825,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(orient,[status(thm)],[t51]) ).
cnf(t10,axiom,
sFlat0 = complement(a),
introduced(definition) ).
cnf(t32,plain,
complement(a) = sFlat0,
inference(orient,[status(thm)],[t10]) ).
cnf(t15,axiom,
sFlat5 = join(complement(a),b),
introduced(definition) ).
cnf(t3888,plain,
sFlat5 = join(b,complement(a)),
inference(step,[status(thm)],[t15,t41]) ).
cnf(t3889,plain,
sFlat5 = join(b,sFlat0),
inference(step,[status(thm)],[t3888,t32]) ).
cnf(t3890,plain,
sFlat5 = join(sFlat0,b),
inference(step,[status(thm)],[t3889,t41]) ).
cnf(t67,plain,
join(sFlat0,b) = sFlat5,
inference(orient,[status(thm)],[t3890]) ).
cnf(t68,plain,
join(sFlat0,join(b,X1)) = join(sFlat5,X1),
inference(cp,[status(thm)],[t49,t67]) ).
cnf(t346,plain,
join(sFlat0,join(b,X1)) = join(sFlat5,X1),
inference(orient,[status(thm)],[t68]) ).
cnf(t5,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t74,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t11,axiom,
sFlat1 = meet(complement(a),b),
introduced(definition) ).
cnf(t3910,plain,
sFlat1 = meet(b,complement(a)),
inference(step,[status(thm)],[t11,t74]) ).
cnf(t3911,plain,
sFlat1 = meet(b,sFlat0),
inference(step,[status(thm)],[t3910,t32]) ).
cnf(t3912,plain,
sFlat1 = meet(sFlat0,b),
inference(step,[status(thm)],[t3911,t74]) ).
cnf(t93,plain,
meet(sFlat0,b) = sFlat1,
inference(orient,[status(thm)],[t3912]) ).
cnf(t12,axiom,
sFlat2 = complement(b),
introduced(definition) ).
cnf(t37,plain,
complement(b) = sFlat2,
inference(orient,[status(thm)],[t12]) ).
cnf(t13,axiom,
sFlat3 = meet(complement(a),complement(b)),
introduced(definition) ).
cnf(t3905,plain,
sFlat3 = meet(complement(b),complement(a)),
inference(step,[status(thm)],[t13,t74]) ).
cnf(t3906,plain,
sFlat3 = meet(sFlat2,complement(a)),
inference(step,[status(thm)],[t3905,t37]) ).
cnf(t3907,plain,
sFlat3 = meet(sFlat2,sFlat0),
inference(step,[status(thm)],[t3906,t32]) ).
cnf(t3908,plain,
sFlat3 = meet(sFlat0,sFlat2),
inference(step,[status(thm)],[t3907,t74]) ).
cnf(t89,plain,
meet(sFlat0,sFlat2) = sFlat3,
inference(orient,[status(thm)],[t3908]) ).
cnf(t14,axiom,
sFlat4 = join(meet(complement(a),b),meet(complement(a),complement(b))),
introduced(definition) ).
cnf(t3900,plain,
sFlat4 = join(meet(sFlat0,b),meet(complement(a),complement(b))),
inference(step,[status(thm)],[t14,t32]) ).
cnf(t3901,plain,
sFlat4 = join(meet(sFlat0,b),meet(sFlat0,complement(b))),
inference(step,[status(thm)],[t3900,t32]) ).
cnf(t3902,plain,
sFlat4 = join(meet(sFlat0,b),meet(sFlat0,sFlat2)),
inference(step,[status(thm)],[t3901,t37]) ).
cnf(t3903,plain,
sFlat4 = join(meet(sFlat0,sFlat2),meet(sFlat0,b)),
inference(step,[status(thm)],[t3902,t41]) ).
cnf(t72,plain,
join(meet(sFlat0,sFlat2),meet(sFlat0,b)) = sFlat4,
inference(orient,[status(thm)],[t3903]) ).
cnf(t3909,plain,
join(sFlat3,meet(sFlat0,b)) = sFlat4,
inference(step,[status(thm)],[t72,t89]) ).
cnf(t92,plain,
join(sFlat3,meet(sFlat0,b)) = sFlat4,
inference(rw,[status(thm)],[t3909]) ).
cnf(t3929,plain,
join(sFlat3,sFlat1) = sFlat4,
inference(step,[status(thm)],[t92,t93]) ).
cnf(t3930,plain,
join(sFlat1,sFlat3) = sFlat4,
inference(step,[status(thm)],[t3929,t41]) ).
cnf(t172,plain,
join(sFlat1,sFlat3) = sFlat4,
inference(orient,[status(thm)],[t3930]) ).
cnf(t173,plain,
join(sFlat1,join(sFlat3,X1)) = join(sFlat4,X1),
inference(cp,[status(thm)],[t49,t172]) ).
cnf(t789,plain,
join(sFlat1,join(sFlat3,X1)) = join(sFlat4,X1),
inference(orient,[status(thm)],[t173]) ).
cnf(t16,axiom,
sFlat6 = meet(a,join(complement(a),b)),
introduced(definition) ).
cnf(t3913,plain,
sFlat6 = meet(a,join(b,complement(a))),
inference(step,[status(thm)],[t16,t41]) ).
cnf(t3914,plain,
sFlat6 = meet(a,join(b,sFlat0)),
inference(step,[status(thm)],[t3913,t32]) ).
cnf(t3915,plain,
sFlat6 = meet(a,join(sFlat0,b)),
inference(step,[status(thm)],[t3914,t41]) ).
cnf(t3916,plain,
sFlat6 = meet(a,sFlat5),
inference(step,[status(thm)],[t3915,t67]) ).
cnf(t3917,plain,
sFlat6 = meet(sFlat5,a),
inference(step,[status(thm)],[t3916,t74]) ).
cnf(t96,plain,
meet(sFlat5,a) = sFlat6,
inference(orient,[status(thm)],[t3917]) ).
cnf(t0,axiom,
complement(complement(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t20,plain,
complement(complement(X1)) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t18,axiom,
sFlat8 = complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),
introduced(definition) ).
cnf(t28,plain,
complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))) = sFlat8,
inference(orient,[status(thm)],[t18]) ).
cnf(t3872,plain,
complement(join(join(meet(sFlat0,b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))) = sFlat8,
inference(step,[status(thm)],[t28,t32]) ).
cnf(t3873,plain,
complement(join(join(meet(sFlat0,b),meet(sFlat0,complement(b))),meet(a,join(complement(a),b)))) = sFlat8,
inference(step,[status(thm)],[t3872,t32]) ).
cnf(t3874,plain,
complement(join(join(meet(sFlat0,b),meet(sFlat0,complement(b))),meet(a,join(sFlat0,b)))) = sFlat8,
inference(step,[status(thm)],[t3873,t32]) ).
cnf(t36,plain,
complement(join(join(meet(sFlat0,b),meet(sFlat0,complement(b))),meet(a,join(sFlat0,b)))) = sFlat8,
inference(rw,[status(thm)],[t3874]) ).
cnf(t3986,plain,
complement(join(meet(sFlat0,b),join(meet(sFlat0,complement(b)),meet(a,join(sFlat0,b))))) = sFlat8,
inference(step,[status(thm)],[t36,t49]) ).
cnf(t3987,plain,
complement(join(sFlat1,join(meet(sFlat0,complement(b)),meet(a,join(sFlat0,b))))) = sFlat8,
inference(step,[status(thm)],[t3986,t93]) ).
cnf(t3988,plain,
complement(join(sFlat1,join(meet(sFlat0,sFlat2),meet(a,join(sFlat0,b))))) = sFlat8,
inference(step,[status(thm)],[t3987,t37]) ).
cnf(t3989,plain,
complement(join(sFlat1,join(sFlat3,meet(a,join(sFlat0,b))))) = sFlat8,
inference(step,[status(thm)],[t3988,t89]) ).
cnf(t3990,plain,
complement(join(sFlat1,join(sFlat3,meet(a,sFlat5)))) = sFlat8,
inference(step,[status(thm)],[t3989,t67]) ).
cnf(t3991,plain,
complement(join(sFlat1,join(sFlat3,meet(sFlat5,a)))) = sFlat8,
inference(step,[status(thm)],[t3990,t74]) ).
cnf(t3992,plain,
complement(join(sFlat1,join(sFlat3,sFlat6))) = sFlat8,
inference(step,[status(thm)],[t3991,t96]) ).
cnf(t425,plain,
complement(join(sFlat1,join(sFlat3,sFlat6))) = sFlat8,
inference(orient,[status(thm)],[t3992]) ).
cnf(t426,plain,
join(sFlat1,join(sFlat3,sFlat6)) = complement(sFlat8),
inference(cp,[status(thm)],[t20,t425]) ).
cnf(t437,plain,
join(sFlat1,join(sFlat3,sFlat6)) = complement(sFlat8),
inference(orient,[status(thm)],[t426]) ).
cnf(t4068,plain,
join(sFlat4,sFlat6) = complement(sFlat8),
inference(step,[status(thm)],[t437,t789]) ).
cnf(t800,plain,
join(sFlat4,sFlat6) = complement(sFlat8),
inference(rw,[status(thm)],[t4068]) ).
cnf(t803,plain,
join(sFlat4,sFlat6) = complement(sFlat8),
inference(orient,[status(thm)],[t800]) ).
cnf(t4,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t52,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(cp,[status(thm)],[t49,t21]) ).
cnf(t1428,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(orient,[status(thm)],[t52]) ).
cnf(t1,axiom,
join(complement(X1),X1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t3875,plain,
join(X1,complement(X1)) = n1,
inference(step,[status(thm)],[t1,t41]) ).
cnf(t56,plain,
join(X1,complement(X1)) = n1,
inference(orient,[status(thm)],[t3875]) ).
cnf(t1434,plain,
join(X1,complement(meet(X1,X2))) = join(X1,n1),
inference(cp,[status(thm)],[t1428,t56]) ).
cnf(t7,axiom,
join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t43,plain,
join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
inference(orient,[status(thm)],[t7]) ).
cnf(t3876,plain,
join(X1,n1) = join(X2,complement(X2)),
inference(step,[status(thm)],[t43,t56]) ).
cnf(t3877,plain,
join(X1,n1) = n1,
inference(step,[status(thm)],[t3876,t56]) ).
cnf(t64,plain,
join(X1,n1) = n1,
inference(rw,[status(thm)],[t3877]) ).
cnf(t113,plain,
join(X1,n1) = n1,
inference(orient,[status(thm)],[t64]) ).
cnf(t4308,plain,
join(X1,complement(meet(X1,X2))) = n1,
inference(step,[status(thm)],[t1434,t113]) ).
cnf(t3812,plain,
join(X1,complement(meet(X1,X2))) = n1,
inference(orient,[status(thm)],[t4308]) ).
cnf(t6,axiom,
complement(join(complement(X1),complement(X2))) = meet(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t22,plain,
complement(join(complement(X1),complement(X2))) = meet(X1,X2),
inference(orient,[status(thm)],[t6]) ).
cnf(t23,plain,
meet(complement(X1),X2) = complement(join(X1,complement(X2))),
inference(cp,[status(thm)],[t22,t20]) ).
cnf(t195,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t98,plain,
sFlat5 = join(sFlat5,sFlat6),
inference(cp,[status(thm)],[t21,t96]) ).
cnf(t129,plain,
join(sFlat5,sFlat6) = sFlat5,
inference(orient,[status(thm)],[t98]) ).
cnf(t130,plain,
join(sFlat5,join(sFlat6,X1)) = join(sFlat5,X1),
inference(cp,[status(thm)],[t49,t129]) ).
cnf(t721,plain,
join(sFlat5,join(sFlat6,X1)) = join(sFlat5,X1),
inference(orient,[status(thm)],[t130]) ).
cnf(t724,plain,
join(sFlat5,X1) = join(sFlat5,join(X1,sFlat6)),
inference(cp,[status(thm)],[t721,t41]) ).
cnf(t1666,plain,
join(sFlat5,join(X1,sFlat6)) = join(sFlat5,X1),
inference(orient,[status(thm)],[t724]) ).
cnf(t1668,plain,
join(sFlat5,sFlat4) = join(sFlat5,complement(sFlat8)),
inference(cp,[status(thm)],[t1666,t803]) ).
cnf(t4127,plain,
join(sFlat4,sFlat5) = join(sFlat5,complement(sFlat8)),
inference(step,[status(thm)],[t1668,t41]) ).
cnf(t351,plain,
join(sFlat5,X1) = join(sFlat0,join(X1,b)),
inference(cp,[status(thm)],[t346,t41]) ).
cnf(t1319,plain,
join(sFlat0,join(X1,b)) = join(sFlat5,X1),
inference(orient,[status(thm)],[t351]) ).
cnf(t91,plain,
sFlat0 = join(sFlat0,sFlat3),
inference(cp,[status(thm)],[t21,t89]) ).
cnf(t125,plain,
join(sFlat0,sFlat3) = sFlat0,
inference(orient,[status(thm)],[t91]) ).
cnf(t126,plain,
join(sFlat0,join(sFlat3,X1)) = join(sFlat0,X1),
inference(cp,[status(thm)],[t49,t125]) ).
cnf(t642,plain,
join(sFlat0,join(sFlat3,X1)) = join(sFlat0,X1),
inference(orient,[status(thm)],[t126]) ).
cnf(t1321,plain,
join(sFlat5,sFlat3) = join(sFlat0,b),
inference(cp,[status(thm)],[t1319,t642]) ).
cnf(t4107,plain,
join(sFlat3,sFlat5) = join(sFlat0,b),
inference(step,[status(thm)],[t1321,t41]) ).
cnf(t4108,plain,
join(sFlat3,sFlat5) = sFlat5,
inference(step,[status(thm)],[t4107,t67]) ).
cnf(t1333,plain,
join(sFlat3,sFlat5) = sFlat5,
inference(orient,[status(thm)],[t4108]) ).
cnf(t1334,plain,
join(sFlat4,sFlat5) = join(sFlat1,sFlat5),
inference(cp,[status(thm)],[t789,t1333]) ).
cnf(t75,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t21,t74]) ).
cnf(t159,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t75]) ).
cnf(t349,plain,
join(sFlat5,meet(X1,b)) = join(sFlat0,b),
inference(cp,[status(thm)],[t346,t159]) ).
cnf(t3972,plain,
join(sFlat5,meet(X1,b)) = sFlat5,
inference(step,[status(thm)],[t349,t67]) ).
cnf(t361,plain,
join(sFlat5,meet(X1,b)) = sFlat5,
inference(orient,[status(thm)],[t3972]) ).
cnf(t38,plain,
b = complement(sFlat2),
inference(cp,[status(thm)],[t20,t37]) ).
cnf(t104,plain,
complement(sFlat2) = b,
inference(orient,[status(thm)],[t38]) ).
cnf(t201,plain,
meet(complement(X1),sFlat2) = complement(join(X1,b)),
inference(cp,[status(thm)],[t195,t104]) ).
cnf(t3941,plain,
meet(sFlat2,complement(X1)) = complement(join(X1,b)),
inference(step,[status(thm)],[t201,t74]) ).
cnf(t220,plain,
complement(join(X1,b)) = meet(sFlat2,complement(X1)),
inference(orient,[status(thm)],[t3941]) ).
cnf(t163,plain,
b = join(b,sFlat1),
inference(cp,[status(thm)],[t159,t93]) ).
cnf(t3928,plain,
b = join(sFlat1,b),
inference(step,[status(thm)],[t163,t41]) ).
cnf(t170,plain,
join(sFlat1,b) = b,
inference(orient,[status(thm)],[t3928]) ).
cnf(t221,plain,
meet(sFlat2,complement(sFlat1)) = complement(b),
inference(cp,[status(thm)],[t220,t170]) ).
cnf(t3942,plain,
meet(sFlat2,complement(sFlat1)) = sFlat2,
inference(step,[status(thm)],[t221,t37]) ).
cnf(t229,plain,
meet(sFlat2,complement(sFlat1)) = sFlat2,
inference(orient,[status(thm)],[t3942]) ).
cnf(t230,plain,
complement(sFlat1) = join(complement(sFlat1),sFlat2),
inference(cp,[status(thm)],[t159,t229]) ).
cnf(t3943,plain,
complement(sFlat1) = join(sFlat2,complement(sFlat1)),
inference(step,[status(thm)],[t230,t41]) ).
cnf(t234,plain,
join(sFlat2,complement(sFlat1)) = complement(sFlat1),
inference(orient,[status(thm)],[t3943]) ).
cnf(t236,plain,
meet(complement(sFlat2),sFlat1) = complement(complement(sFlat1)),
inference(cp,[status(thm)],[t195,t234]) ).
cnf(t3944,plain,
meet(sFlat1,complement(sFlat2)) = complement(complement(sFlat1)),
inference(step,[status(thm)],[t236,t74]) ).
cnf(t3945,plain,
meet(sFlat1,b) = complement(complement(sFlat1)),
inference(step,[status(thm)],[t3944,t104]) ).
cnf(t3946,plain,
meet(sFlat1,b) = sFlat1,
inference(step,[status(thm)],[t3945,t20]) ).
cnf(t237,plain,
meet(sFlat1,b) = sFlat1,
inference(orient,[status(thm)],[t3946]) ).
cnf(t362,plain,
sFlat5 = join(sFlat5,sFlat1),
inference(cp,[status(thm)],[t361,t237]) ).
cnf(t3973,plain,
sFlat5 = join(sFlat1,sFlat5),
inference(step,[status(thm)],[t362,t41]) ).
cnf(t366,plain,
join(sFlat1,sFlat5) = sFlat5,
inference(orient,[status(thm)],[t3973]) ).
cnf(t4109,plain,
join(sFlat4,sFlat5) = sFlat5,
inference(step,[status(thm)],[t1334,t366]) ).
cnf(t1338,plain,
join(sFlat4,sFlat5) = sFlat5,
inference(orient,[status(thm)],[t4109]) ).
cnf(t4128,plain,
sFlat5 = join(sFlat5,complement(sFlat8)),
inference(step,[status(thm)],[t4127,t1338]) ).
cnf(t1674,plain,
join(sFlat5,complement(sFlat8)) = sFlat5,
inference(orient,[status(thm)],[t4128]) ).
cnf(t1676,plain,
meet(complement(sFlat5),sFlat8) = complement(sFlat5),
inference(cp,[status(thm)],[t195,t1674]) ).
cnf(t4129,plain,
meet(sFlat8,complement(sFlat5)) = complement(sFlat5),
inference(step,[status(thm)],[t1676,t74]) ).
cnf(t1680,plain,
meet(sFlat8,complement(sFlat5)) = complement(sFlat5),
inference(orient,[status(thm)],[t4129]) ).
cnf(t3821,plain,
n1 = join(sFlat8,complement(complement(sFlat5))),
inference(cp,[status(thm)],[t3812,t1680]) ).
cnf(t4309,plain,
n1 = join(sFlat8,sFlat5),
inference(step,[status(thm)],[t3821,t20]) ).
cnf(t4310,plain,
n1 = join(sFlat5,sFlat8),
inference(step,[status(thm)],[t4309,t41]) ).
cnf(t3865,plain,
join(sFlat5,sFlat8) = n1,
inference(orient,[status(thm)],[t4310]) ).
cnf(goal_0,negated_conjecture,
join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b)) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(complement(a),join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),b)) != n1,
inference(rw,[status(thm)],[goal_0,t2027]) ).
cnf(g0_1,plain,
join(b,join(complement(a),complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_0,t825]) ).
cnf(g0_2,plain,
join(b,join(sFlat0,complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_1,t32]) ).
cnf(g0_3,plain,
join(sFlat0,join(b,complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_2,t2027]) ).
cnf(g0_4,plain,
join(sFlat5,complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b))))) != n1,
inference(rw,[status(thm)],[g0_3,t346]) ).
cnf(g0_5,plain,
join(sFlat5,complement(join(meet(complement(a),b),join(meet(complement(a),complement(b)),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_4,t49]) ).
cnf(g0_6,plain,
join(sFlat5,complement(join(meet(b,complement(a)),join(meet(complement(a),complement(b)),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_5,t74]) ).
cnf(g0_7,plain,
join(sFlat5,complement(join(meet(b,sFlat0),join(meet(complement(a),complement(b)),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_6,t32]) ).
cnf(g0_8,plain,
join(sFlat5,complement(join(meet(sFlat0,b),join(meet(complement(a),complement(b)),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_7,t74]) ).
cnf(g0_9,plain,
join(sFlat5,complement(join(sFlat1,join(meet(complement(a),complement(b)),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_8,t93]) ).
cnf(g0_10,plain,
join(sFlat5,complement(join(sFlat1,join(meet(complement(b),complement(a)),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_9,t74]) ).
cnf(g0_11,plain,
join(sFlat5,complement(join(sFlat1,join(meet(sFlat2,complement(a)),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_10,t37]) ).
cnf(g0_12,plain,
join(sFlat5,complement(join(sFlat1,join(meet(sFlat2,sFlat0),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_11,t32]) ).
cnf(g0_13,plain,
join(sFlat5,complement(join(sFlat1,join(meet(sFlat0,sFlat2),meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_12,t74]) ).
cnf(g0_14,plain,
join(sFlat5,complement(join(sFlat1,join(sFlat3,meet(a,join(complement(a),b)))))) != n1,
inference(rw,[status(thm)],[g0_13,t89]) ).
cnf(g0_15,plain,
join(sFlat5,complement(join(sFlat4,meet(a,join(complement(a),b))))) != n1,
inference(rw,[status(thm)],[g0_14,t789]) ).
cnf(g0_16,plain,
join(sFlat5,complement(join(sFlat4,meet(a,join(b,complement(a)))))) != n1,
inference(rw,[status(thm)],[g0_15,t41]) ).
cnf(g0_17,plain,
join(sFlat5,complement(join(sFlat4,meet(a,join(b,sFlat0))))) != n1,
inference(rw,[status(thm)],[g0_16,t32]) ).
cnf(g0_18,plain,
join(sFlat5,complement(join(sFlat4,meet(a,join(sFlat0,b))))) != n1,
inference(rw,[status(thm)],[g0_17,t41]) ).
cnf(g0_19,plain,
join(sFlat5,complement(join(sFlat4,meet(a,sFlat5)))) != n1,
inference(rw,[status(thm)],[g0_18,t67]) ).
cnf(g0_20,plain,
join(sFlat5,complement(join(sFlat4,meet(sFlat5,a)))) != n1,
inference(rw,[status(thm)],[g0_19,t74]) ).
cnf(g0_21,plain,
join(sFlat5,complement(join(sFlat4,sFlat6))) != n1,
inference(rw,[status(thm)],[g0_20,t96]) ).
cnf(g0_22,plain,
join(sFlat5,complement(complement(sFlat8))) != n1,
inference(rw,[status(thm)],[g0_21,t803]) ).
cnf(g0_23,plain,
join(sFlat5,sFlat8) != n1,
inference(rw,[status(thm)],[g0_22,t20]) ).
cnf(g0_24,plain,
n1 != n1,
inference(rw,[status(thm)],[g0_23,t3865]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 20:01:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.38/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.38/1.69 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------