%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 01:55:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.84s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 6
% Syntax : Number of clauses : 107 ( 107 unt; 0 nHn; 3 RR)
% Number of literals : 107 ( 106 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 211 ( 57 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t1,axiom,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t18,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t4,axiom,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t0,axiom,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t28,plain,
X1 = meet(meet(join(X1,X2),X1),X1),
inference(cp,[status(thm)],[t5,t24]) ).
cnf(t42,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t28]) ).
cnf(t48,plain,
meet(X1,X2) = meet(meet(X1,meet(X1,X2)),meet(X1,X2)),
inference(cp,[status(thm)],[t42,t11]) ).
cnf(t109,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t48]) ).
cnf(t3,axiom,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t47,plain,
meet(X1,X2) = meet(meet(X2,meet(X1,X2)),meet(X1,X2)),
inference(cp,[status(thm)],[t42,t6]) ).
cnf(t58,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t47]) ).
cnf(t59,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(cp,[status(thm)],[t58,t5]) ).
cnf(t619,plain,
X1 = meet(meet(X1,X1),meet(meet(join(X1,X2),join(X3,X1)),X1)),
inference(step,[status(thm)],[t59,t5]) ).
cnf(t620,plain,
X1 = meet(meet(X1,X1),X1),
inference(step,[status(thm)],[t619,t5]) ).
cnf(t69,plain,
meet(meet(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t620]) ).
cnf(t73,plain,
X1 = join(X1,meet(X1,join(meet(X1,X1),X1))),
inference(cp,[status(thm)],[t6,t69]) ).
cnf(t74,plain,
join(X1,meet(X1,join(meet(X1,X1),X1))) = X1,
inference(orient,[status(thm)],[t73]) ).
cnf(t75,plain,
X1 = meet(meet(X1,join(X2,X1)),X1),
inference(cp,[status(thm)],[t5,t74]) ).
cnf(t79,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(orient,[status(thm)],[t75]) ).
cnf(t112,plain,
meet(meet(X1,join(X2,X1)),X1) = meet(meet(meet(X1,join(X2,X1)),X1),meet(meet(X1,join(X2,X1)),X1)),
inference(cp,[status(thm)],[t109,t79]) ).
cnf(t623,plain,
X1 = meet(meet(meet(X1,join(X2,X1)),X1),meet(meet(X1,join(X2,X1)),X1)),
inference(step,[status(thm)],[t112,t79]) ).
cnf(t624,plain,
X1 = meet(X1,meet(meet(X1,join(X2,X1)),X1)),
inference(step,[status(thm)],[t623,t79]) ).
cnf(t625,plain,
X1 = meet(X1,X1),
inference(step,[status(thm)],[t624,t79]) ).
cnf(t129,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t625]) ).
cnf(t627,plain,
join(X1,meet(X2,join(X1,X1))) = X1,
inference(step,[status(thm)],[t18,t129]) ).
cnf(t136,plain,
join(X1,meet(X2,join(X1,X1))) = X1,
inference(rw,[status(thm)],[t627]) ).
cnf(t26,plain,
X1 = join(join(meet(X1,X2),X1),X1),
inference(cp,[status(thm)],[t24,t5]) ).
cnf(t36,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t26]) ).
cnf(t131,plain,
X1 = join(join(X1,X1),X1),
inference(cp,[status(thm)],[t36,t129]) ).
cnf(t143,plain,
join(join(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t131]) ).
cnf(t146,plain,
X1 = join(meet(join(X1,X1),X1),meet(X1,X1)),
inference(cp,[status(thm)],[t6,t143]) ).
cnf(t130,plain,
X1 = meet(join(X1,X1),X1),
inference(cp,[status(thm)],[t5,t129]) ).
cnf(t138,plain,
meet(join(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t130]) ).
cnf(t629,plain,
X1 = join(X1,meet(X1,X1)),
inference(step,[status(thm)],[t146,t138]) ).
cnf(t630,plain,
X1 = join(X1,X1),
inference(step,[status(thm)],[t629,t129]) ).
cnf(t147,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t630]) ).
cnf(t631,plain,
join(X1,meet(X2,X1)) = X1,
inference(step,[status(thm)],[t136,t147]) ).
cnf(t153,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t631]) ).
cnf(t157,plain,
X1 = join(meet(X1,meet(X2,X1)),meet(X1,X1)),
inference(cp,[status(thm)],[t11,t153]) ).
cnf(t632,plain,
X1 = join(meet(X1,meet(X2,X1)),X1),
inference(step,[status(thm)],[t157,t129]) ).
cnf(t159,plain,
join(meet(X1,meet(X2,X1)),X1) = X1,
inference(orient,[status(thm)],[t632]) ).
cnf(t161,plain,
meet(X1,meet(X2,X1)) = join(meet(meet(X1,meet(X2,X1)),X1),meet(meet(X1,meet(X2,X1)),X1)),
inference(cp,[status(thm)],[t11,t159]) ).
cnf(t633,plain,
meet(X1,meet(X2,X1)) = meet(meet(X1,meet(X2,X1)),X1),
inference(step,[status(thm)],[t161,t147]) ).
cnf(t163,plain,
meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)),
inference(orient,[status(thm)],[t633]) ).
cnf(t156,plain,
meet(X1,X2) = meet(meet(meet(X1,X2),X2),meet(X1,X2)),
inference(cp,[status(thm)],[t79,t153]) ).
cnf(t185,plain,
meet(meet(meet(X1,X2),X2),meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t156]) ).
cnf(t188,plain,
meet(join(X1,X2),X1) = meet(X1,meet(join(X1,X2),X1)),
inference(cp,[status(thm)],[t185,t42]) ).
cnf(t193,plain,
meet(X1,meet(join(X1,X2),X1)) = meet(join(X1,X2),X1),
inference(orient,[status(thm)],[t188]) ).
cnf(t200,plain,
meet(X1,meet(join(X1,X2),X1)) = meet(meet(join(X1,X2),X1),X1),
inference(cp,[status(thm)],[t163,t193]) ).
cnf(t634,plain,
meet(join(X1,X2),X1) = meet(meet(join(X1,X2),X1),X1),
inference(step,[status(thm)],[t200,t193]) ).
cnf(t635,plain,
meet(join(X1,X2),X1) = X1,
inference(step,[status(thm)],[t634,t42]) ).
cnf(t206,plain,
meet(join(X1,X2),X1) = X1,
inference(orient,[status(thm)],[t635]) ).
cnf(t211,plain,
meet(X1,X2) = meet(X2,meet(X1,X2)),
inference(cp,[status(thm)],[t206,t6]) ).
cnf(t217,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(orient,[status(thm)],[t211]) ).
cnf(t25,plain,
meet(join(X1,X2),join(X3,X1)) = join(join(X1,meet(Y3,meet(join(X1,X2),join(X3,X1)))),meet(join(X1,X2),join(X3,X1))),
inference(cp,[status(thm)],[t24,t5]) ).
cnf(t338,plain,
join(join(X1,meet(X2,meet(join(X1,X3),join(Y3,X1)))),meet(join(X1,X3),join(Y3,X1))) = meet(join(X1,X3),join(Y3,X1)),
inference(orient,[status(thm)],[t25]) ).
cnf(t210,plain,
join(meet(X1,X2),X1) = meet(X1,join(meet(X1,X2),X1)),
inference(cp,[status(thm)],[t206,t36]) ).
cnf(t232,plain,
meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1),
inference(orient,[status(thm)],[t210]) ).
cnf(t236,plain,
X1 = meet(join(meet(X1,X2),X1),X1),
inference(cp,[status(thm)],[t79,t232]) ).
cnf(t241,plain,
meet(join(meet(X1,X2),X1),X1) = X1,
inference(orient,[status(thm)],[t236]) ).
cnf(t249,plain,
join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),join(join(meet(X1,X2),X1),X1))),
inference(cp,[status(thm)],[t11,t241]) ).
cnf(t643,plain,
join(meet(X1,X2),X1) = join(X1,meet(join(meet(X1,X2),X1),X1)),
inference(step,[status(thm)],[t249,t36]) ).
cnf(t644,plain,
join(meet(X1,X2),X1) = join(X1,X1),
inference(step,[status(thm)],[t643,t241]) ).
cnf(t645,plain,
join(meet(X1,X2),X1) = X1,
inference(step,[status(thm)],[t644,t147]) ).
cnf(t250,plain,
join(meet(X1,X2),X1) = X1,
inference(orient,[status(thm)],[t645]) ).
cnf(t251,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(cp,[status(thm)],[t250,t206]) ).
cnf(t256,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t251]) ).
cnf(t257,plain,
X1 = join(meet(X1,join(X1,X2)),meet(X1,join(X1,X2))),
inference(cp,[status(thm)],[t11,t256]) ).
cnf(t646,plain,
X1 = meet(X1,join(X1,X2)),
inference(step,[status(thm)],[t257,t147]) ).
cnf(t258,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t646]) ).
cnf(t260,plain,
meet(X1,X2) = meet(meet(X1,X2),X1),
inference(cp,[status(thm)],[t258,t250]) ).
cnf(t263,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(orient,[status(thm)],[t260]) ).
cnf(t264,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = meet(X1,meet(join(X1,X2),join(X3,X1))),
inference(cp,[status(thm)],[t263,t5]) ).
cnf(t649,plain,
X1 = meet(X1,meet(join(X1,X2),join(X3,X1))),
inference(step,[status(thm)],[t264,t5]) ).
cnf(t298,plain,
meet(X1,meet(join(X1,X2),join(X3,X1))) = X1,
inference(orient,[status(thm)],[t649]) ).
cnf(t220,plain,
X1 = join(meet(X2,X1),meet(X1,join(X1,meet(X2,X1)))),
inference(cp,[status(thm)],[t11,t217]) ).
cnf(t641,plain,
X1 = join(meet(X2,X1),meet(X1,X1)),
inference(step,[status(thm)],[t220,t153]) ).
cnf(t642,plain,
X1 = join(meet(X2,X1),X1),
inference(step,[status(thm)],[t641,t129]) ).
cnf(t225,plain,
join(meet(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t642]) ).
cnf(t647,plain,
meet(X1,join(X2,X1)) = X1,
inference(step,[status(thm)],[t79,t263]) ).
cnf(t267,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[t647]) ).
cnf(t273,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t267]) ).
cnf(t275,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(cp,[status(thm)],[t225,t273]) ).
cnf(t286,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(orient,[status(thm)],[t275]) ).
cnf(t299,plain,
X1 = meet(X1,meet(join(X2,X1),join(X3,X1))),
inference(cp,[status(thm)],[t298,t286]) ).
cnf(t453,plain,
meet(X1,meet(join(X2,X1),join(X3,X1))) = X1,
inference(orient,[status(thm)],[t299]) ).
cnf(t261,plain,
join(X1,X2) = join(join(X1,X2),X1),
inference(cp,[status(thm)],[t153,t258]) ).
cnf(t282,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(orient,[status(thm)],[t261]) ).
cnf(t462,plain,
X1 = meet(X1,meet(join(X2,X1),join(X1,X3))),
inference(cp,[status(thm)],[t453,t282]) ).
cnf(t566,plain,
meet(X1,meet(join(X2,X1),join(X1,X3))) = X1,
inference(orient,[status(thm)],[t462]) ).
cnf(t590,plain,
meet(join(X1,X2),join(X2,X1)) = join(join(X1,X2),meet(join(X1,X2),join(X2,X1))),
inference(cp,[status(thm)],[t338,t566]) ).
cnf(t265,plain,
X1 = join(X1,meet(X1,X2)),
inference(cp,[status(thm)],[t153,t263]) ).
cnf(t268,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t265]) ).
cnf(t654,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(step,[status(thm)],[t590,t268]) ).
cnf(t591,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(orient,[status(thm)],[t654]) ).
cnf(t595,plain,
meet(join(X1,X2),join(X2,X1)) = meet(join(X2,X1),join(X1,X2)),
inference(cp,[status(thm)],[t217,t591]) ).
cnf(t655,plain,
join(X1,X2) = meet(join(X2,X1),join(X1,X2)),
inference(step,[status(thm)],[t595,t591]) ).
cnf(t656,plain,
join(X1,X2) = join(X2,X1),
inference(step,[status(thm)],[t655,t591]) ).
cnf(t606,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t656]) ).
cnf(goal_0,negated_conjecture,
join(b,a) != join(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(b,a) != join(b,a),
inference(rw,[status(thm)],[goal_0,t606]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT091-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.39 % Computer : n008.cluster.edu
% 0.09/5.39 % Model : x86_64 x86_64
% 0.09/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.39 % Memory : 8046.5625MB
% 0.09/5.39 % OS : Linux 6.8.0-71-generic
% 0.09/5.39 % CPULimit : 300
% 0.09/5.39 % WCLimit : 300
% 0.09/5.39 % DateTime : Wed Sep 23 20:13:46 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/5.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.84 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------