%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT230-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 01:56:22 PM UTC 2026
% Result : Unsatisfiable 159.21s 24.35s
% Output : CNFRefutation 159.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 17
% Syntax : Number of clauses : 179 ( 179 unt; 0 nHn; 50 RR)
% Number of literals : 179 ( 178 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 233 ( 51 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t14,axiom,
sFlat0 = complement(b),
introduced(definition) ).
cnf(t100,plain,
complement(b) = sFlat0,
inference(orient,[status(thm)],[t14]) ).
cnf(t15,axiom,
sFlat1 = complement(a),
introduced(definition) ).
cnf(t95,plain,
complement(a) = sFlat1,
inference(orient,[status(thm)],[t15]) ).
cnf(t16,axiom,
sFlat2 = join(complement(b),complement(a)),
introduced(definition) ).
cnf(t90,plain,
join(complement(b),complement(a)) = sFlat2,
inference(orient,[status(thm)],[t16]) ).
cnf(t650200,plain,
join(complement(b),sFlat1) = sFlat2,
inference(step,[status(thm)],[t90,t95]) ).
cnf(t99,plain,
join(complement(b),sFlat1) = sFlat2,
inference(rw,[status(thm)],[t650200]) ).
cnf(t6,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t71,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t6]) ).
cnf(t650211,plain,
join(sFlat1,complement(b)) = sFlat2,
inference(step,[status(thm)],[t99,t71]) ).
cnf(t650212,plain,
join(sFlat1,sFlat0) = sFlat2,
inference(step,[status(thm)],[t650211,t100]) ).
cnf(t650213,plain,
join(sFlat0,sFlat1) = sFlat2,
inference(step,[status(thm)],[t650212,t71]) ).
cnf(t173,plain,
join(sFlat0,sFlat1) = sFlat2,
inference(orient,[status(thm)],[t650213]) ).
cnf(t7,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t20,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t8,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t27,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t28,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t20,t27]) ).
cnf(t182,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t28]) ).
cnf(t11,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t30,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(t9,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t18,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t10,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t75,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t10]) ).
cnf(t175,plain,
join(sFlat0,join(sFlat1,X1)) = join(sFlat2,X1),
inference(cp,[status(thm)],[t75,t173]) ).
cnf(t491,plain,
join(sFlat0,join(sFlat1,X1)) = join(sFlat2,X1),
inference(orient,[status(thm)],[t175]) ).
cnf(t499,plain,
sFlat0 = meet(sFlat0,join(sFlat2,X1)),
inference(cp,[status(thm)],[t18,t491]) ).
cnf(t528,plain,
meet(sFlat0,join(sFlat2,X1)) = sFlat0,
inference(orient,[status(thm)],[t499]) ).
cnf(t531,plain,
meet(sFlat0,meet(join(sFlat2,X1),X2)) = meet(sFlat0,X2),
inference(cp,[status(thm)],[t30,t528]) ).
cnf(t2695,plain,
meet(sFlat0,meet(join(sFlat2,X1),X2)) = meet(sFlat0,X2),
inference(orient,[status(thm)],[t531]) ).
cnf(t72,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t18,t71]) ).
cnf(t195,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t72]) ).
cnf(t197,plain,
meet(X1,X2) = meet(meet(X1,X2),X1),
inference(cp,[status(thm)],[t195,t20]) ).
cnf(t650264,plain,
meet(X1,X2) = meet(X1,meet(X2,X1)),
inference(step,[status(thm)],[t197,t30]) ).
cnf(t561,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(orient,[status(thm)],[t650264]) ).
cnf(t2698,plain,
meet(sFlat0,meet(X1,join(sFlat2,X2))) = meet(sFlat0,meet(join(sFlat2,X2),X1)),
inference(cp,[status(thm)],[t2695,t561]) ).
cnf(t650418,plain,
meet(sFlat0,meet(X1,join(sFlat2,X2))) = meet(sFlat0,X1),
inference(step,[status(thm)],[t2698,t2695]) ).
cnf(t4191,plain,
meet(sFlat0,meet(X1,join(sFlat2,X2))) = meet(sFlat0,X1),
inference(orient,[status(thm)],[t650418]) ).
cnf(t4198,plain,
meet(X1,join(sFlat2,X2)) = join(meet(X1,join(sFlat2,X2)),meet(sFlat0,X1)),
inference(cp,[status(thm)],[t182,t4191]) ).
cnf(t651886,plain,
meet(X1,join(sFlat2,X2)) = join(meet(sFlat0,X1),meet(X1,join(sFlat2,X2))),
inference(step,[status(thm)],[t4198,t71]) ).
cnf(t434459,plain,
join(meet(sFlat0,X1),meet(X1,join(sFlat2,X2))) = meet(X1,join(sFlat2,X2)),
inference(orient,[status(thm)],[t651886]) ).
cnf(t1,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t17,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t34,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(cp,[status(thm)],[t30,t17]) ).
cnf(t216,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t34]) ).
cnf(t12,axiom,
ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t22,plain,
ifeq(join(X1,X2),one,ifeq(meet(X1,X2),zero,complement(X1),X2),X2) = X2,
inference(orient,[status(thm)],[t12]) ).
cnf(t187,plain,
X1 = join(X1,meet(X2,meet(X3,X1))),
inference(cp,[status(thm)],[t182,t30]) ).
cnf(t1483,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(orient,[status(thm)],[t187]) ).
cnf(t1488,plain,
join(X1,X2) = join(join(X1,X2),meet(X3,X1)),
inference(cp,[status(thm)],[t1483,t18]) ).
cnf(t650404,plain,
join(X1,X2) = join(X1,join(X2,meet(X3,X1))),
inference(step,[status(thm)],[t1488,t75]) ).
cnf(t3434,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(orient,[status(thm)],[t650404]) ).
cnf(t13,axiom,
meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t39,plain,
meet(X1,join(meet(X1,X2),join(meet(X1,X3),meet(X2,join(X1,X3))))) = join(meet(X1,X2),meet(X1,X3)),
inference(orient,[status(thm)],[t13]) ).
cnf(t2,axiom,
meet(b,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t65,plain,
meet(b,a) = a,
inference(orient,[status(thm)],[t2]) ).
cnf(t67,plain,
b = join(b,a),
inference(cp,[status(thm)],[t20,t65]) ).
cnf(t109,plain,
join(b,a) = b,
inference(orient,[status(thm)],[t67]) ).
cnf(t110,plain,
join(b,join(a,X1)) = join(b,X1),
inference(cp,[status(thm)],[t75,t109]) ).
cnf(t251,plain,
join(b,join(a,X1)) = join(b,X1),
inference(orient,[status(thm)],[t110]) ).
cnf(t3,axiom,
join(X1,complement(X1)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t85,plain,
join(X1,complement(X1)) = one,
inference(orient,[status(thm)],[t3]) ).
cnf(t252,plain,
join(b,complement(a)) = join(b,one),
inference(cp,[status(thm)],[t251,t85]) ).
cnf(t650222,plain,
join(b,sFlat1) = join(b,one),
inference(step,[status(thm)],[t252,t95]) ).
cnf(t650223,plain,
join(sFlat1,b) = join(b,one),
inference(step,[status(thm)],[t650222,t71]) ).
cnf(t87,plain,
X1 = meet(X1,one),
inference(cp,[status(thm)],[t18,t85]) ).
cnf(t113,plain,
meet(X1,one) = X1,
inference(orient,[status(thm)],[t87]) ).
cnf(t114,plain,
X1 = meet(one,X1),
inference(cp,[status(thm)],[t113,t27]) ).
cnf(t148,plain,
meet(one,X1) = X1,
inference(orient,[status(thm)],[t114]) ).
cnf(t150,plain,
join(one,X1) = one,
inference(cp,[status(thm)],[t148,t18]) ).
cnf(t162,plain,
join(one,X1) = one,
inference(orient,[status(thm)],[t150]) ).
cnf(t163,plain,
one = join(X1,one),
inference(cp,[status(thm)],[t162,t71]) ).
cnf(t170,plain,
join(X1,one) = one,
inference(orient,[status(thm)],[t163]) ).
cnf(t650224,plain,
join(sFlat1,b) = one,
inference(step,[status(thm)],[t650223,t170]) ).
cnf(t257,plain,
join(sFlat1,b) = one,
inference(orient,[status(thm)],[t650224]) ).
cnf(t260,plain,
join(meet(sFlat1,X1),meet(sFlat1,b)) = meet(sFlat1,join(meet(sFlat1,X1),join(meet(sFlat1,b),meet(X1,one)))),
inference(cp,[status(thm)],[t39,t257]) ).
cnf(t651997,plain,
join(meet(sFlat1,X1),meet(sFlat1,b)) = meet(sFlat1,join(meet(sFlat1,X1),join(meet(sFlat1,b),X1))),
inference(step,[status(thm)],[t260,t113]) ).
cnf(t78,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(cp,[status(thm)],[t75,t71]) ).
cnf(t28895,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(orient,[status(thm)],[t78]) ).
cnf(t165,plain,
join(meet(one,X1),meet(one,X2)) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))),
inference(cp,[status(thm)],[t39,t162]) ).
cnf(t650231,plain,
join(X1,meet(one,X2)) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))),
inference(step,[status(thm)],[t165,t148]) ).
cnf(t650232,plain,
join(X1,X2) = meet(one,join(meet(one,X1),join(meet(one,X2),meet(X1,one)))),
inference(step,[status(thm)],[t650231,t148]) ).
cnf(t650233,plain,
join(X1,X2) = join(meet(one,X1),join(meet(one,X2),meet(X1,one))),
inference(step,[status(thm)],[t650232,t148]) ).
cnf(t650234,plain,
join(X1,X2) = join(X1,join(meet(one,X2),meet(X1,one))),
inference(step,[status(thm)],[t650233,t148]) ).
cnf(t650235,plain,
join(X1,X2) = join(X1,join(X2,meet(X1,one))),
inference(step,[status(thm)],[t650234,t148]) ).
cnf(t650236,plain,
join(X1,X2) = join(X1,join(X2,X1)),
inference(step,[status(thm)],[t650235,t113]) ).
cnf(t336,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(orient,[status(thm)],[t650236]) ).
cnf(t28938,plain,
join(join(X1,X2),join(X3,X2)) = join(X3,join(X2,X1)),
inference(cp,[status(thm)],[t28895,t336]) ).
cnf(t650822,plain,
join(X1,join(X2,join(X3,X2))) = join(X3,join(X2,X1)),
inference(step,[status(thm)],[t28938,t75]) ).
cnf(t650823,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(step,[status(thm)],[t650822,t336]) ).
cnf(t30983,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(orient,[status(thm)],[t650823]) ).
cnf(t651998,plain,
join(meet(sFlat1,X1),meet(sFlat1,b)) = meet(sFlat1,join(X1,join(meet(sFlat1,b),meet(sFlat1,X1)))),
inference(step,[status(thm)],[t651997,t30983]) ).
cnf(t651999,plain,
join(meet(sFlat1,X1),meet(sFlat1,b)) = meet(sFlat1,join(X1,meet(sFlat1,b))),
inference(step,[status(thm)],[t651998,t3434]) ).
cnf(t536293,plain,
join(meet(sFlat1,X1),meet(sFlat1,b)) = meet(sFlat1,join(X1,meet(sFlat1,b))),
inference(orient,[status(thm)],[t651999]) ).
cnf(t536693,plain,
join(b,meet(sFlat1,X1)) = join(b,meet(sFlat1,join(X1,meet(sFlat1,b)))),
inference(cp,[status(thm)],[t3434,t536293]) ).
cnf(t647206,plain,
join(b,meet(sFlat1,join(X1,meet(sFlat1,b)))) = join(b,meet(sFlat1,X1)),
inference(orient,[status(thm)],[t536693]) ).
cnf(t647208,plain,
join(b,meet(sFlat1,X1)) = join(b,meet(sFlat1,join(meet(sFlat1,b),X1))),
inference(cp,[status(thm)],[t647206,t71]) ).
cnf(t648259,plain,
join(b,meet(sFlat1,join(meet(sFlat1,b),X1))) = join(b,meet(sFlat1,X1)),
inference(orient,[status(thm)],[t647208]) ).
cnf(t88,plain,
join(X1,join(complement(X1),X2)) = join(one,X2),
inference(cp,[status(thm)],[t75,t85]) ).
cnf(t650337,plain,
join(X1,join(complement(X1),X2)) = one,
inference(step,[status(thm)],[t88,t162]) ).
cnf(t1272,plain,
join(X1,join(complement(X1),X2)) = one,
inference(orient,[status(thm)],[t650337]) ).
cnf(t1275,plain,
join(join(complement(X1),X2),X1) = join(join(complement(X1),X2),one),
inference(cp,[status(thm)],[t336,t1272]) ).
cnf(t650339,plain,
join(complement(X1),join(X2,X1)) = join(join(complement(X1),X2),one),
inference(step,[status(thm)],[t1275,t75]) ).
cnf(t650340,plain,
join(complement(X1),join(X2,X1)) = join(complement(X1),join(X2,one)),
inference(step,[status(thm)],[t650339,t75]) ).
cnf(t650341,plain,
join(complement(X1),join(X2,X1)) = join(complement(X1),one),
inference(step,[status(thm)],[t650340,t170]) ).
cnf(t650342,plain,
join(complement(X1),join(X2,X1)) = one,
inference(step,[status(thm)],[t650341,t170]) ).
cnf(t1344,plain,
join(complement(X1),join(X2,X1)) = one,
inference(orient,[status(thm)],[t650342]) ).
cnf(t1350,plain,
one = join(complement(meet(X1,X2)),X2),
inference(cp,[status(thm)],[t1344,t182]) ).
cnf(t650344,plain,
one = join(X2,complement(meet(X1,X2))),
inference(step,[status(thm)],[t1350,t71]) ).
cnf(t1397,plain,
join(X1,complement(meet(X2,X1))) = one,
inference(orient,[status(thm)],[t650344]) ).
cnf(t1399,plain,
one = join(meet(X1,X2),complement(meet(X2,X1))),
inference(cp,[status(thm)],[t1397,t561]) ).
cnf(t6857,plain,
join(meet(X1,X2),complement(meet(X2,X1))) = one,
inference(orient,[status(thm)],[t1399]) ).
cnf(t648283,plain,
join(b,meet(sFlat1,complement(meet(b,sFlat1)))) = join(b,meet(sFlat1,one)),
inference(cp,[status(thm)],[t648259,t6857]) ).
cnf(t652293,plain,
join(b,meet(sFlat1,complement(meet(sFlat1,b)))) = join(b,meet(sFlat1,one)),
inference(step,[status(thm)],[t648283,t27]) ).
cnf(t652294,plain,
join(b,meet(sFlat1,complement(meet(sFlat1,b)))) = join(b,sFlat1),
inference(step,[status(thm)],[t652293,t113]) ).
cnf(t652295,plain,
join(b,meet(sFlat1,complement(meet(sFlat1,b)))) = join(sFlat1,b),
inference(step,[status(thm)],[t652294,t71]) ).
cnf(t652296,plain,
join(b,meet(sFlat1,complement(meet(sFlat1,b)))) = one,
inference(step,[status(thm)],[t652295,t257]) ).
cnf(t648606,plain,
join(b,meet(sFlat1,complement(meet(sFlat1,b)))) = one,
inference(orient,[status(thm)],[t652296]) ).
cnf(t648611,plain,
meet(sFlat1,complement(meet(sFlat1,b))) = ifeq(one,one,ifeq(meet(b,meet(sFlat1,complement(meet(sFlat1,b)))),zero,complement(b),meet(sFlat1,complement(meet(sFlat1,b)))),meet(sFlat1,complement(meet(sFlat1,b)))),
inference(cp,[status(thm)],[t22,t648606]) ).
cnf(t5,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t5]) ).
cnf(t652297,plain,
meet(sFlat1,complement(meet(sFlat1,b))) = ifeq(meet(b,meet(sFlat1,complement(meet(sFlat1,b)))),zero,complement(b),meet(sFlat1,complement(meet(sFlat1,b)))),
inference(step,[status(thm)],[t648611,t21]) ).
cnf(t4,axiom,
meet(X1,complement(X1)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t58,plain,
meet(X1,complement(X1)) = zero,
inference(orient,[status(thm)],[t4]) ).
cnf(t60,plain,
meet(X1,meet(complement(X1),X2)) = meet(zero,X2),
inference(cp,[status(thm)],[t30,t58]) ).
cnf(t61,plain,
X1 = join(X1,zero),
inference(cp,[status(thm)],[t20,t58]) ).
cnf(t104,plain,
join(X1,zero) = X1,
inference(orient,[status(thm)],[t61]) ).
cnf(t105,plain,
X1 = join(zero,X1),
inference(cp,[status(thm)],[t104,t71]) ).
cnf(t140,plain,
join(zero,X1) = X1,
inference(orient,[status(thm)],[t105]) ).
cnf(t142,plain,
meet(zero,X1) = zero,
inference(cp,[status(thm)],[t140,t20]) ).
cnf(t158,plain,
meet(zero,X1) = zero,
inference(orient,[status(thm)],[t142]) ).
cnf(t650324,plain,
meet(X1,meet(complement(X1),X2)) = zero,
inference(step,[status(thm)],[t60,t158]) ).
cnf(t1109,plain,
meet(X1,meet(complement(X1),X2)) = zero,
inference(orient,[status(thm)],[t650324]) ).
cnf(t1114,plain,
meet(meet(complement(X1),X2),X1) = meet(meet(complement(X1),X2),zero),
inference(cp,[status(thm)],[t561,t1109]) ).
cnf(t650325,plain,
meet(complement(X1),meet(X2,X1)) = meet(meet(complement(X1),X2),zero),
inference(step,[status(thm)],[t1114,t30]) ).
cnf(t650326,plain,
meet(complement(X1),meet(X2,X1)) = meet(complement(X1),meet(X2,zero)),
inference(step,[status(thm)],[t650325,t30]) ).
cnf(t159,plain,
zero = meet(X1,zero),
inference(cp,[status(thm)],[t158,t27]) ).
cnf(t166,plain,
meet(X1,zero) = zero,
inference(orient,[status(thm)],[t159]) ).
cnf(t650327,plain,
meet(complement(X1),meet(X2,X1)) = meet(complement(X1),zero),
inference(step,[status(thm)],[t650326,t166]) ).
cnf(t650328,plain,
meet(complement(X1),meet(X2,X1)) = zero,
inference(step,[status(thm)],[t650327,t166]) ).
cnf(t1127,plain,
meet(complement(X1),meet(X2,X1)) = zero,
inference(orient,[status(thm)],[t650328]) ).
cnf(t1132,plain,
zero = meet(complement(join(X1,X2)),X2),
inference(cp,[status(thm)],[t1127,t195]) ).
cnf(t650329,plain,
zero = meet(X2,complement(join(X1,X2))),
inference(step,[status(thm)],[t1132,t27]) ).
cnf(t1158,plain,
meet(X1,complement(join(X2,X1))) = zero,
inference(orient,[status(thm)],[t650329]) ).
cnf(t580,plain,
meet(X1,X2) = join(meet(X1,X2),meet(X2,X1)),
inference(cp,[status(thm)],[t182,t561]) ).
cnf(t2821,plain,
join(meet(X1,X2),meet(X2,X1)) = meet(X1,X2),
inference(orient,[status(thm)],[t580]) ).
cnf(t2900,plain,
zero = meet(meet(X1,X2),complement(meet(X2,X1))),
inference(cp,[status(thm)],[t1158,t2821]) ).
cnf(t650509,plain,
zero = meet(X1,meet(X2,complement(meet(X2,X1)))),
inference(step,[status(thm)],[t2900,t30]) ).
cnf(t8524,plain,
meet(X1,meet(X2,complement(meet(X2,X1)))) = zero,
inference(orient,[status(thm)],[t650509]) ).
cnf(t652298,plain,
meet(sFlat1,complement(meet(sFlat1,b))) = ifeq(zero,zero,complement(b),meet(sFlat1,complement(meet(sFlat1,b)))),
inference(step,[status(thm)],[t652297,t8524]) ).
cnf(t652299,plain,
meet(sFlat1,complement(meet(sFlat1,b))) = complement(b),
inference(step,[status(thm)],[t652298,t21]) ).
cnf(t652300,plain,
meet(sFlat1,complement(meet(sFlat1,b))) = sFlat0,
inference(step,[status(thm)],[t652299,t100]) ).
cnf(t648756,plain,
meet(sFlat1,complement(meet(sFlat1,b))) = sFlat0,
inference(orient,[status(thm)],[t652300]) ).
cnf(t648766,plain,
meet(sFlat1,complement(meet(sFlat1,b))) = meet(sFlat1,sFlat0),
inference(cp,[status(thm)],[t216,t648756]) ).
cnf(t652302,plain,
sFlat0 = meet(sFlat1,sFlat0),
inference(step,[status(thm)],[t648766,t648756]) ).
cnf(t652303,plain,
sFlat0 = meet(sFlat0,sFlat1),
inference(step,[status(thm)],[t652302,t27]) ).
cnf(t649142,plain,
meet(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t652303]) ).
cnf(t649216,plain,
meet(sFlat1,join(sFlat2,X1)) = join(sFlat0,meet(sFlat1,join(sFlat2,X1))),
inference(cp,[status(thm)],[t434459,t649142]) ).
cnf(t198,plain,
sFlat1 = meet(sFlat1,sFlat2),
inference(cp,[status(thm)],[t195,t173]) ).
cnf(t205,plain,
meet(sFlat1,sFlat2) = sFlat1,
inference(orient,[status(thm)],[t198]) ).
cnf(t207,plain,
meet(sFlat1,meet(sFlat2,X1)) = meet(sFlat1,X1),
inference(cp,[status(thm)],[t30,t205]) ).
cnf(t653,plain,
meet(sFlat1,meet(sFlat2,X1)) = meet(sFlat1,X1),
inference(orient,[status(thm)],[t207]) ).
cnf(t657,plain,
meet(sFlat1,join(sFlat2,X1)) = meet(sFlat1,sFlat2),
inference(cp,[status(thm)],[t653,t18]) ).
cnf(t650279,plain,
meet(sFlat1,join(sFlat2,X1)) = sFlat1,
inference(step,[status(thm)],[t657,t205]) ).
cnf(t680,plain,
meet(sFlat1,join(sFlat2,X1)) = sFlat1,
inference(orient,[status(thm)],[t650279]) ).
cnf(t652305,plain,
sFlat1 = join(sFlat0,meet(sFlat1,join(sFlat2,X1))),
inference(step,[status(thm)],[t649216,t680]) ).
cnf(t652306,plain,
sFlat1 = join(sFlat0,sFlat1),
inference(step,[status(thm)],[t652305,t680]) ).
cnf(t652307,plain,
sFlat1 = sFlat2,
inference(step,[status(thm)],[t652306,t173]) ).
cnf(t649487,plain,
sFlat2 = sFlat1,
inference(orient,[status(thm)],[t652307]) ).
cnf(t652308,plain,
join(sFlat0,sFlat1) = sFlat1,
inference(step,[status(thm)],[t173,t649487]) ).
cnf(t649488,plain,
join(sFlat0,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t652308]) ).
cnf(goal_0,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(sFlat0,complement(a)) != complement(a),
inference(rw,[status(thm)],[goal_0,t100]) ).
cnf(g0_1,plain,
join(sFlat0,sFlat1) != complement(a),
inference(rw,[status(thm)],[g0_0,t95]) ).
cnf(g0_2,plain,
sFlat1 != complement(a),
inference(rw,[status(thm)],[g0_1,t649488]) ).
cnf(g0_3,plain,
sFlat1 != sFlat1,
inference(rw,[status(thm)],[g0_2,t95]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT230-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 20:40:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 159.21/24.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 159.21/24.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------