%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT007-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 01:54:59 PM UTC 2026
% Result : Unsatisfiable 4.72s 1.40s
% Output : CNFRefutation 4.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of clauses : 92 ( 92 unt; 0 nHn; 5 RR)
% Number of literals : 92 ( 91 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 222 ( 39 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X3,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t3,plain,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X3,X1)),
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t2,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t4,plain,
meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X3,join(X1,X2))),
inference(cp,[status(thm)],[t3,t2]) ).
cnf(t7,plain,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X3),join(X2,X1)),
inference(orient,[status(thm)],[t4]) ).
cnf(t6,plain,
meet(X1,X2) = meet(meet(X1,X2),meet(X2,join(X3,X1))),
inference(cp,[status(thm)],[t2,t3]) ).
cnf(t36,plain,
meet(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X1,X2),
inference(orient,[status(thm)],[t6]) ).
cnf(t39,plain,
meet(X1,X2) = meet(meet(X1,X2),X2),
inference(cp,[status(thm)],[t36,t2]) ).
cnf(t46,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(orient,[status(thm)],[t39]) ).
cnf(t48,plain,
meet(X1,join(meet(X2,X1),X3)) = join(meet(X3,X1),meet(X2,X1)),
inference(cp,[status(thm)],[t3,t46]) ).
cnf(t8391,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)),
inference(step,[status(thm)],[t48,t3]) ).
cnf(t64,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t8391]) ).
cnf(t65,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,meet(X1,join(X3,X2))),
inference(cp,[status(thm)],[t64,t3]) ).
cnf(t47,plain,
meet(X1,join(X2,meet(X3,X1))) = join(meet(X3,X1),meet(X2,X1)),
inference(cp,[status(thm)],[t3,t46]) ).
cnf(t8390,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)),
inference(step,[status(thm)],[t47,t3]) ).
cnf(t52,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X2,X3)),
inference(orient,[status(thm)],[t8390]) ).
cnf(t8392,plain,
meet(X1,join(X2,X3)) = meet(X1,meet(X1,join(X3,X2))),
inference(step,[status(thm)],[t65,t52]) ).
cnf(t78,plain,
meet(X1,meet(X1,join(X2,X3))) = meet(X1,join(X3,X2)),
inference(orient,[status(thm)],[t8392]) ).
cnf(t79,plain,
meet(X1,join(X2,X1)) = meet(X1,X1),
inference(cp,[status(thm)],[t78,t2]) ).
cnf(t90,plain,
meet(X1,join(X2,X1)) = meet(X1,X1),
inference(orient,[status(thm)],[t79]) ).
cnf(t91,plain,
meet(X1,X1) = X1,
inference(cp,[status(thm)],[t90,t2]) ).
cnf(t105,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t91]) ).
cnf(t109,plain,
meet(X1,join(X1,X2)) = join(meet(X2,X1),X1),
inference(cp,[status(thm)],[t3,t105]) ).
cnf(t8398,plain,
X1 = join(meet(X2,X1),X1),
inference(step,[status(thm)],[t109,t2]) ).
cnf(t138,plain,
join(meet(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t8398]) ).
cnf(t8393,plain,
meet(X1,join(X2,X1)) = X1,
inference(step,[status(thm)],[t90,t105]) ).
cnf(t106,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t8393]) ).
cnf(t142,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(cp,[status(thm)],[t138,t106]) ).
cnf(t244,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(orient,[status(thm)],[t142]) ).
cnf(t248,plain,
meet(join(X1,join(X2,X1)),join(X3,X1)) = join(X1,meet(X3,join(X2,X1))),
inference(cp,[status(thm)],[t7,t244]) ).
cnf(t8465,plain,
meet(join(X2,X1),join(X3,X1)) = join(X1,meet(X3,join(X2,X1))),
inference(step,[status(thm)],[t248,t244]) ).
cnf(t3634,plain,
join(X1,meet(X2,join(X3,X1))) = meet(join(X3,X1),join(X2,X1)),
inference(orient,[status(thm)],[t8465]) ).
cnf(t108,plain,
meet(X1,join(X2,X1)) = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t3,t105]) ).
cnf(t8395,plain,
X1 = join(X1,meet(X2,X1)),
inference(step,[status(thm)],[t108,t106]) ).
cnf(t113,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t8395]) ).
cnf(t114,plain,
X1 = join(X1,X1),
inference(cp,[status(thm)],[t113,t105]) ).
cnf(t129,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t114]) ).
cnf(t131,plain,
meet(X1,join(X2,X2)) = meet(X1,meet(X1,X2)),
inference(cp,[status(thm)],[t78,t129]) ).
cnf(t8402,plain,
meet(X1,X2) = meet(X1,meet(X1,X2)),
inference(step,[status(thm)],[t131,t129]) ).
cnf(t222,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t8402]) ).
cnf(t226,plain,
meet(meet(X1,X2),join(X3,X1)) = join(meet(X1,X2),meet(X3,meet(X1,X2))),
inference(cp,[status(thm)],[t3,t222]) ).
cnf(t8406,plain,
meet(meet(X1,X2),join(X3,X1)) = meet(X1,X2),
inference(step,[status(thm)],[t226,t113]) ).
cnf(t275,plain,
meet(meet(X1,X2),join(X3,X1)) = meet(X1,X2),
inference(orient,[status(thm)],[t8406]) ).
cnf(t292,plain,
join(X1,X2) = join(meet(X2,X3),join(X1,X2)),
inference(cp,[status(thm)],[t138,t275]) ).
cnf(t423,plain,
join(meet(X1,X2),join(X3,X1)) = join(X3,X1),
inference(orient,[status(thm)],[t292]) ).
cnf(t130,plain,
meet(X1,X2) = meet(X2,join(X1,X1)),
inference(cp,[status(thm)],[t129,t3]) ).
cnf(t8399,plain,
meet(X1,X2) = meet(X2,X1),
inference(step,[status(thm)],[t130,t129]) ).
cnf(t164,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t8399]) ).
cnf(t427,plain,
join(X1,X2) = join(meet(X3,X2),join(X1,X2)),
inference(cp,[status(thm)],[t423,t164]) ).
cnf(t838,plain,
join(meet(X1,X2),join(X3,X2)) = join(X3,X2),
inference(orient,[status(thm)],[t427]) ).
cnf(t872,plain,
meet(X1,join(X2,join(X3,X1))) = meet(X1,join(X3,X1)),
inference(cp,[status(thm)],[t64,t838]) ).
cnf(t8414,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(step,[status(thm)],[t872,t106]) ).
cnf(t875,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(orient,[status(thm)],[t8414]) ).
cnf(t902,plain,
meet(join(X1,join(X2,X3)),join(X3,X1)) = join(X1,X3),
inference(cp,[status(thm)],[t7,t875]) ).
cnf(t8478,plain,
meet(join(X3,X1),join(X1,join(X2,X3))) = join(X1,X3),
inference(step,[status(thm)],[t902,t164]) ).
cnf(t4828,plain,
meet(join(X1,X2),join(X2,join(X3,X1))) = join(X2,X1),
inference(orient,[status(thm)],[t8478]) ).
cnf(t98,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,meet(X2,X2)),
inference(cp,[status(thm)],[t7,t90]) ).
cnf(t8416,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(step,[status(thm)],[t98,t105]) ).
cnf(t1317,plain,
meet(join(X1,X2),join(X2,X1)) = join(X1,X2),
inference(orient,[status(thm)],[t8416]) ).
cnf(t1318,plain,
join(X1,X2) = meet(join(X2,X1),join(X1,X2)),
inference(cp,[status(thm)],[t1317,t164]) ).
cnf(t8417,plain,
join(X1,X2) = join(X2,X1),
inference(step,[status(thm)],[t1318,t1317]) ).
cnf(t1350,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t8417]) ).
cnf(t4859,plain,
join(X1,X2) = meet(join(X1,X2),join(X1,join(X3,X2))),
inference(cp,[status(thm)],[t4828,t1350]) ).
cnf(t6778,plain,
meet(join(X1,X2),join(X1,join(X3,X2))) = join(X1,X2),
inference(orient,[status(thm)],[t4859]) ).
cnf(t6855,plain,
meet(join(X1,join(X2,X3)),join(join(X1,X3),join(X2,X3))) = join(join(X2,X3),join(X1,X3)),
inference(cp,[status(thm)],[t3634,t6778]) ).
cnf(t5,plain,
meet(join(X1,X2),join(X1,X3)) = join(meet(X3,join(X1,X2)),X1),
inference(cp,[status(thm)],[t3,t2]) ).
cnf(t26,plain,
join(meet(X1,join(X2,X3)),X2) = meet(join(X2,X3),join(X2,X1)),
inference(orient,[status(thm)],[t5]) ).
cnf(t112,plain,
meet(join(X1,X2),join(X1,join(X1,X2))) = join(join(X1,X2),X1),
inference(cp,[status(thm)],[t26,t105]) ).
cnf(t8401,plain,
join(X1,X2) = join(join(X1,X2),X1),
inference(step,[status(thm)],[t112,t106]) ).
cnf(t208,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(orient,[status(thm)],[t8401]) ).
cnf(t877,plain,
X1 = meet(X1,join(join(X2,X1),X3)),
inference(cp,[status(thm)],[t875,t208]) ).
cnf(t910,plain,
meet(X1,join(join(X2,X1),X3)) = X1,
inference(orient,[status(thm)],[t877]) ).
cnf(t919,plain,
X1 = meet(X1,join(join(X1,X2),X3)),
inference(cp,[status(thm)],[t910,t208]) ).
cnf(t1068,plain,
meet(X1,join(join(X1,X2),X3)) = X1,
inference(orient,[status(thm)],[t919]) ).
cnf(t3656,plain,
meet(join(join(X1,X2),X3),join(X1,X3)) = join(X3,X1),
inference(cp,[status(thm)],[t3634,t1068]) ).
cnf(t8493,plain,
meet(join(X1,X3),join(join(X1,X2),X3)) = join(X3,X1),
inference(step,[status(thm)],[t3656,t164]) ).
cnf(t6515,plain,
meet(join(X1,X2),join(join(X1,X3),X2)) = join(X2,X1),
inference(orient,[status(thm)],[t8493]) ).
cnf(t8494,plain,
join(join(X2,X3),X1) = join(join(X2,X3),join(X1,X3)),
inference(step,[status(thm)],[t6855,t6515]) ).
cnf(t6870,plain,
join(join(X1,X2),join(X3,X2)) = join(join(X1,X2),X3),
inference(orient,[status(thm)],[t8494]) ).
cnf(t6919,plain,
join(join(X1,X2),X3) = join(join(X2,X1),join(X3,X2)),
inference(cp,[status(thm)],[t6870,t1350]) ).
cnf(t7472,plain,
join(join(X1,X2),join(X3,X1)) = join(join(X2,X1),X3),
inference(orient,[status(thm)],[t6919]) ).
cnf(t7477,plain,
join(join(X1,X2),X3) = join(join(X3,X2),join(X2,X1)),
inference(cp,[status(thm)],[t7472,t1350]) ).
cnf(t6944,plain,
join(join(X1,X2),X3) = join(join(X1,X2),join(X2,X3)),
inference(cp,[status(thm)],[t6870,t1350]) ).
cnf(t7664,plain,
join(join(X1,X2),join(X2,X3)) = join(join(X1,X2),X3),
inference(orient,[status(thm)],[t6944]) ).
cnf(t8512,plain,
join(join(X1,X2),X3) = join(join(X3,X2),X1),
inference(step,[status(thm)],[t7477,t7664]) ).
cnf(t8234,plain,
join(join(X1,X2),X3) = join(join(X3,X2),X1),
inference(orient,[status(thm)],[t8512]) ).
cnf(goal_0,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
join(join(c,b),a) != join(a,join(b,c)),
inference(rw,[status(thm)],[goal_0,t8234]) ).
cnf(g0_1,plain,
join(a,join(c,b)) != join(a,join(b,c)),
inference(rw,[status(thm)],[g0_0,t1350]) ).
cnf(g0_2,plain,
join(a,join(c,b)) != join(a,join(c,b)),
inference(rw,[status(thm)],[g0_1,t1350]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT007-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 20:05:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.72/1.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.72/1.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------