%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT013-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 13.06s 2.37s
% Output : CNFRefutation 13.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 9
% Syntax : Number of clauses : 118 ( 118 unt; 0 nHn; 80 RR)
% Number of literals : 118 ( 117 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 68 ( 44 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
sFlat0 = meet(a,b),
introduced(definition) ).
cnf(t40,plain,
meet(a,b) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t5,axiom,
sFlat1 = meet(meet(a,b),c),
introduced(definition) ).
cnf(t28,plain,
meet(meet(a,b),c) = sFlat1,
inference(orient,[status(thm)],[t5]) ).
cnf(t7296,plain,
meet(sFlat0,c) = sFlat1,
inference(step,[status(thm)],[t28,t40]) ).
cnf(t44,plain,
meet(sFlat0,c) = sFlat1,
inference(rw,[status(thm)],[t7296]) ).
cnf(t45,plain,
meet(sFlat0,c) = sFlat1,
inference(orient,[status(thm)],[t44]) ).
cnf(t6,axiom,
sFlat2 = meet(b,c),
introduced(definition) ).
cnf(t32,plain,
meet(b,c) = sFlat2,
inference(orient,[status(thm)],[t6]) ).
cnf(t7,axiom,
sFlat3 = meet(a,meet(b,c)),
introduced(definition) ).
cnf(t7295,plain,
sFlat3 = meet(a,sFlat2),
inference(step,[status(thm)],[t7,t32]) ).
cnf(t36,plain,
meet(a,sFlat2) = sFlat3,
inference(orient,[status(thm)],[t7295]) ).
cnf(t3,axiom,
meet(meet(join(X1,X2),join(X2,X3)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
meet(meet(join(X1,X2),join(X2,X3)),X2) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t2,axiom,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t18,plain,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
join(X1,meet(X2,meet(X1,X3))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t19,plain,
X1 = join(meet(X2,X1),X1),
inference(cp,[status(thm)],[t18,t11]) ).
cnf(t182,plain,
join(meet(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t19]) ).
cnf(t1,axiom,
meet(X1,join(X2,join(X1,X3))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t15,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t8,t11]) ).
cnf(t143,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t15]) ).
cnf(t10,plain,
X1 = meet(join(X2,X1),X1),
inference(cp,[status(thm)],[t9,t8]) ).
cnf(t49,plain,
meet(join(X1,X2),X2) = X2,
inference(orient,[status(thm)],[t10]) ).
cnf(t13,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t11,t8]) ).
cnf(t105,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t13]) ).
cnf(t110,plain,
c = join(c,sFlat2),
inference(cp,[status(thm)],[t105,t32]) ).
cnf(t127,plain,
join(c,sFlat2) = c,
inference(orient,[status(thm)],[t110]) ).
cnf(t128,plain,
sFlat2 = meet(c,sFlat2),
inference(cp,[status(thm)],[t49,t127]) ).
cnf(t140,plain,
meet(c,sFlat2) = sFlat2,
inference(orient,[status(thm)],[t128]) ).
cnf(t142,plain,
c = join(c,meet(X1,sFlat2)),
inference(cp,[status(thm)],[t11,t140]) ).
cnf(t383,plain,
join(c,meet(X1,sFlat2)) = c,
inference(orient,[status(thm)],[t142]) ).
cnf(t108,plain,
sFlat2 = join(sFlat2,sFlat3),
inference(cp,[status(thm)],[t105,t36]) ).
cnf(t119,plain,
join(sFlat2,sFlat3) = sFlat2,
inference(orient,[status(thm)],[t108]) ).
cnf(t147,plain,
sFlat3 = meet(sFlat3,sFlat2),
inference(cp,[status(thm)],[t143,t119]) ).
cnf(t158,plain,
meet(sFlat3,sFlat2) = sFlat3,
inference(orient,[status(thm)],[t147]) ).
cnf(t384,plain,
c = join(c,sFlat3),
inference(cp,[status(thm)],[t383,t158]) ).
cnf(t390,plain,
join(c,sFlat3) = c,
inference(orient,[status(thm)],[t384]) ).
cnf(t392,plain,
sFlat3 = meet(sFlat3,c),
inference(cp,[status(thm)],[t143,t390]) ).
cnf(t399,plain,
meet(sFlat3,c) = sFlat3,
inference(orient,[status(thm)],[t392]) ).
cnf(t400,plain,
c = join(sFlat3,c),
inference(cp,[status(thm)],[t182,t399]) ).
cnf(t403,plain,
join(sFlat3,c) = c,
inference(orient,[status(thm)],[t400]) ).
cnf(t406,plain,
sFlat3 = meet(meet(join(X1,sFlat3),c),sFlat3),
inference(cp,[status(thm)],[t9,t403]) ).
cnf(t7264,plain,
meet(meet(join(X1,sFlat3),c),sFlat3) = sFlat3,
inference(orient,[status(thm)],[t406]) ).
cnf(t12,plain,
X1 = join(X1,meet(X1,X2)),
inference(cp,[status(thm)],[t11,t9]) ).
cnf(t61,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t12]) ).
cnf(t66,plain,
a = join(a,sFlat3),
inference(cp,[status(thm)],[t61,t36]) ).
cnf(t81,plain,
join(a,sFlat3) = a,
inference(orient,[status(thm)],[t66]) ).
cnf(t84,plain,
sFlat3 = meet(meet(a,join(sFlat3,X1)),sFlat3),
inference(cp,[status(thm)],[t9,t81]) ).
cnf(t3675,plain,
meet(meet(a,join(sFlat3,X1)),sFlat3) = sFlat3,
inference(orient,[status(thm)],[t84]) ).
cnf(t35,plain,
b = join(b,meet(X1,sFlat2)),
inference(cp,[status(thm)],[t11,t32]) ).
cnf(t239,plain,
join(b,meet(X1,sFlat2)) = b,
inference(orient,[status(thm)],[t35]) ).
cnf(t240,plain,
b = join(b,sFlat3),
inference(cp,[status(thm)],[t239,t158]) ).
cnf(t245,plain,
join(b,sFlat3) = b,
inference(orient,[status(thm)],[t240]) ).
cnf(t247,plain,
sFlat3 = meet(sFlat3,b),
inference(cp,[status(thm)],[t143,t245]) ).
cnf(t309,plain,
meet(sFlat3,b) = sFlat3,
inference(orient,[status(thm)],[t247]) ).
cnf(t310,plain,
b = join(sFlat3,b),
inference(cp,[status(thm)],[t182,t309]) ).
cnf(t313,plain,
join(sFlat3,b) = b,
inference(orient,[status(thm)],[t310]) ).
cnf(t3683,plain,
sFlat3 = meet(meet(a,b),sFlat3),
inference(cp,[status(thm)],[t3675,t313]) ).
cnf(t7343,plain,
sFlat3 = meet(sFlat0,sFlat3),
inference(step,[status(thm)],[t3683,t40]) ).
cnf(t3696,plain,
meet(sFlat0,sFlat3) = sFlat3,
inference(orient,[status(thm)],[t7343]) ).
cnf(t3699,plain,
sFlat0 = join(sFlat0,sFlat3),
inference(cp,[status(thm)],[t61,t3696]) ).
cnf(t3729,plain,
join(sFlat0,sFlat3) = sFlat0,
inference(orient,[status(thm)],[t3699]) ).
cnf(t7275,plain,
sFlat3 = meet(meet(sFlat0,c),sFlat3),
inference(cp,[status(thm)],[t7264,t3729]) ).
cnf(t7397,plain,
sFlat3 = meet(sFlat1,sFlat3),
inference(step,[status(thm)],[t7275,t45]) ).
cnf(t146,plain,
meet(X1,X2) = meet(meet(X1,X2),X1),
inference(cp,[status(thm)],[t143,t61]) ).
cnf(t737,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(orient,[status(thm)],[t146]) ).
cnf(t43,plain,
a = join(a,meet(X1,sFlat0)),
inference(cp,[status(thm)],[t11,t40]) ).
cnf(t322,plain,
join(a,meet(X1,sFlat0)) = a,
inference(orient,[status(thm)],[t43]) ).
cnf(t65,plain,
sFlat0 = join(sFlat0,sFlat1),
inference(cp,[status(thm)],[t61,t45]) ).
cnf(t77,plain,
join(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t65]) ).
cnf(t154,plain,
sFlat1 = meet(sFlat1,sFlat0),
inference(cp,[status(thm)],[t143,t77]) ).
cnf(t179,plain,
meet(sFlat1,sFlat0) = sFlat1,
inference(orient,[status(thm)],[t154]) ).
cnf(t323,plain,
a = join(a,sFlat1),
inference(cp,[status(thm)],[t322,t179]) ).
cnf(t328,plain,
join(a,sFlat1) = a,
inference(orient,[status(thm)],[t323]) ).
cnf(t332,plain,
sFlat1 = meet(meet(a,join(sFlat1,X1)),sFlat1),
inference(cp,[status(thm)],[t9,t328]) ).
cnf(t6363,plain,
meet(meet(a,join(sFlat1,X1)),sFlat1) = sFlat1,
inference(orient,[status(thm)],[t332]) ).
cnf(t752,plain,
X1 = join(meet(X1,X2),X1),
inference(cp,[status(thm)],[t182,t737]) ).
cnf(t820,plain,
join(meet(X1,X2),X1) = X1,
inference(orient,[status(thm)],[t752]) ).
cnf(t107,plain,
c = join(c,sFlat1),
inference(cp,[status(thm)],[t105,t45]) ).
cnf(t115,plain,
join(c,sFlat1) = c,
inference(orient,[status(thm)],[t107]) ).
cnf(t148,plain,
sFlat1 = meet(sFlat1,c),
inference(cp,[status(thm)],[t143,t115]) ).
cnf(t161,plain,
meet(sFlat1,c) = sFlat1,
inference(orient,[status(thm)],[t148]) ).
cnf(t185,plain,
c = join(sFlat1,c),
inference(cp,[status(thm)],[t182,t161]) ).
cnf(t201,plain,
join(sFlat1,c) = c,
inference(orient,[status(thm)],[t185]) ).
cnf(t204,plain,
sFlat1 = meet(meet(join(X1,sFlat1),c),sFlat1),
inference(cp,[status(thm)],[t9,t201]) ).
cnf(t5361,plain,
meet(meet(join(X1,sFlat1),c),sFlat1) = sFlat1,
inference(orient,[status(thm)],[t204]) ).
cnf(t109,plain,
b = join(b,sFlat0),
inference(cp,[status(thm)],[t105,t40]) ).
cnf(t123,plain,
join(b,sFlat0) = b,
inference(orient,[status(thm)],[t109]) ).
cnf(t124,plain,
sFlat0 = meet(b,sFlat0),
inference(cp,[status(thm)],[t49,t123]) ).
cnf(t137,plain,
meet(b,sFlat0) = sFlat0,
inference(orient,[status(thm)],[t124]) ).
cnf(t139,plain,
b = join(b,meet(X1,sFlat0)),
inference(cp,[status(thm)],[t11,t137]) ).
cnf(t360,plain,
join(b,meet(X1,sFlat0)) = b,
inference(orient,[status(thm)],[t139]) ).
cnf(t361,plain,
b = join(b,sFlat1),
inference(cp,[status(thm)],[t360,t179]) ).
cnf(t366,plain,
join(b,sFlat1) = b,
inference(orient,[status(thm)],[t361]) ).
cnf(t5369,plain,
sFlat1 = meet(meet(b,c),sFlat1),
inference(cp,[status(thm)],[t5361,t366]) ).
cnf(t7374,plain,
sFlat1 = meet(sFlat2,sFlat1),
inference(step,[status(thm)],[t5369,t32]) ).
cnf(t5384,plain,
meet(sFlat2,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t7374]) ).
cnf(t5385,plain,
sFlat2 = join(sFlat1,sFlat2),
inference(cp,[status(thm)],[t820,t5384]) ).
cnf(t5398,plain,
join(sFlat1,sFlat2) = sFlat2,
inference(orient,[status(thm)],[t5385]) ).
cnf(t6366,plain,
sFlat1 = meet(meet(a,sFlat2),sFlat1),
inference(cp,[status(thm)],[t6363,t5398]) ).
cnf(t7388,plain,
sFlat1 = meet(sFlat3,sFlat1),
inference(step,[status(thm)],[t6366,t36]) ).
cnf(t6387,plain,
meet(sFlat3,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t7388]) ).
cnf(t6389,plain,
meet(sFlat3,sFlat1) = meet(sFlat1,sFlat3),
inference(cp,[status(thm)],[t737,t6387]) ).
cnf(t7389,plain,
sFlat1 = meet(sFlat1,sFlat3),
inference(step,[status(thm)],[t6389,t6387]) ).
cnf(t6411,plain,
meet(sFlat1,sFlat3) = sFlat1,
inference(orient,[status(thm)],[t7389]) ).
cnf(t7398,plain,
sFlat3 = sFlat1,
inference(step,[status(thm)],[t7397,t6411]) ).
cnf(t7288,plain,
sFlat3 = sFlat1,
inference(orient,[status(thm)],[t7398]) ).
cnf(t7399,plain,
meet(a,sFlat2) = sFlat1,
inference(step,[status(thm)],[t36,t7288]) ).
cnf(t7289,plain,
meet(a,sFlat2) = sFlat1,
inference(orient,[status(thm)],[t7399]) ).
cnf(goal_0,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(sFlat0,c) != meet(a,meet(b,c)),
inference(rw,[status(thm)],[goal_0,t40]) ).
cnf(g0_1,plain,
sFlat1 != meet(a,meet(b,c)),
inference(rw,[status(thm)],[g0_0,t45]) ).
cnf(g0_2,plain,
sFlat1 != meet(a,sFlat2),
inference(rw,[status(thm)],[g0_1,t32]) ).
cnf(g0_3,plain,
sFlat1 != sFlat1,
inference(rw,[status(thm)],[g0_2,t7289]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT013-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.54 % Computer : n003.cluster.edu
% 0.09/0.54 % Model : x86_64 x86_64
% 0.09/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.54 % Memory : 8046.5625MB
% 0.09/0.54 % OS : Linux 6.8.0-71-generic
% 0.09/0.54 % CPULimit : 300
% 0.09/0.54 % WCLimit : 300
% 0.09/0.54 % DateTime : Wed Sep 23 20:02:20 UTC 2026
% 0.09/0.54 % CPUTime :
% 0.09/0.54 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 13.06/2.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.06/2.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------