%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT010-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 17.59s 3.07s
% Output : CNFRefutation 17.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 10
% Syntax : Number of clauses : 137 ( 137 unt; 0 nHn; 20 RR)
% Number of literals : 137 ( 136 equ; 19 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 333 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t7,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(t4,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t37,plain,
meet(X1,X2) = meet(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t39,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(cp,[status(thm)],[t37,t21]) ).
cnf(t1190,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X3,X1)),
inference(orient,[status(thm)],[t39]) ).
cnf(t1,axiom,
meet(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
meet(X1,X1) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t23,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(cp,[status(thm)],[t21,t12]) ).
cnf(t29,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t40,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(cp,[status(thm)],[t37,t29]) ).
cnf(t7086,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(step,[status(thm)],[t40,t21]) ).
cnf(t54,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(orient,[status(thm)],[t7086]) ).
cnf(t56,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X2,meet(X3,X1))),
inference(cp,[status(thm)],[t54,t21]) ).
cnf(t219,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t56]) ).
cnf(t222,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(meet(X3,X1),X2)),
inference(cp,[status(thm)],[t219,t37]) ).
cnf(t7101,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X3,meet(X1,X2))),
inference(step,[status(thm)],[t222,t21]) ).
cnf(t58,plain,
meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X1,X2),X3),
inference(cp,[status(thm)],[t21,t54]) ).
cnf(t7090,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(meet(X1,X2),X3),
inference(step,[status(thm)],[t58,t21]) ).
cnf(t7091,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)),
inference(step,[status(thm)],[t7090,t21]) ).
cnf(t233,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7091]) ).
cnf(t7102,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X3,X2)),
inference(step,[status(thm)],[t7101,t233]) ).
cnf(t615,plain,
meet(X1,meet(X2,X3)) = meet(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t7102]) ).
cnf(t2,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t31,plain,
join(X1,X2) = join(X2,X1),
inference(orient,[status(thm)],[t2]) ).
cnf(t6,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t0,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
join(X1,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t17,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(cp,[status(thm)],[t15,t11]) ).
cnf(t27,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(orient,[status(thm)],[t17]) ).
cnf(t34,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(cp,[status(thm)],[t31,t27]) ).
cnf(t7085,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(step,[status(thm)],[t34,t15]) ).
cnf(t43,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(orient,[status(thm)],[t7085]) ).
cnf(t45,plain,
join(X1,join(X2,X3)) = join(X1,join(X2,join(X3,X1))),
inference(cp,[status(thm)],[t43,t15]) ).
cnf(t108,plain,
join(X1,join(X2,join(X3,X1))) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t45]) ).
cnf(t111,plain,
join(X1,join(X2,X3)) = join(X1,join(join(X3,X1),X2)),
inference(cp,[status(thm)],[t108,t31]) ).
cnf(t7096,plain,
join(X1,join(X2,X3)) = join(X1,join(X3,join(X1,X2))),
inference(step,[status(thm)],[t111,t15]) ).
cnf(t47,plain,
join(X1,join(join(X2,X1),X3)) = join(join(X1,X2),X3),
inference(cp,[status(thm)],[t15,t43]) ).
cnf(t7088,plain,
join(X1,join(X2,join(X1,X3))) = join(join(X1,X2),X3),
inference(step,[status(thm)],[t47,t15]) ).
cnf(t7089,plain,
join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)),
inference(step,[status(thm)],[t7088,t15]) ).
cnf(t119,plain,
join(X1,join(X2,join(X1,X3))) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t7089]) ).
cnf(t7097,plain,
join(X1,join(X2,X3)) = join(X1,join(X3,X2)),
inference(step,[status(thm)],[t7096,t119]) ).
cnf(t481,plain,
join(X1,join(X2,X3)) = join(X1,join(X3,X2)),
inference(orient,[status(thm)],[t7097]) ).
cnf(t33,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(cp,[status(thm)],[t31,t15]) ).
cnf(t907,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(orient,[status(thm)],[t33]) ).
cnf(t3,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t13,plain,
join(X1,meet(X1,X2)) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t41,plain,
X1 = join(X1,meet(X2,X1)),
inference(cp,[status(thm)],[t13,t37]) ).
cnf(t59,plain,
join(X1,meet(X2,X1)) = X1,
inference(orient,[status(thm)],[t41]) ).
cnf(t5,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t14,plain,
meet(X1,join(X1,X2)) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t8,axiom,
join(meet(X1,join(X2,meet(X3,X1))),meet(X2,join(X3,X1))) = meet(join(X2,meet(X3,X1)),join(X1,meet(X2,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t7087,plain,
join(meet(X2,join(X3,X1)),meet(X1,join(X2,meet(X3,X1)))) = meet(join(X2,meet(X3,X1)),join(X1,meet(X2,X3))),
inference(step,[status(thm)],[t8,t31]) ).
cnf(t65,plain,
join(meet(X1,join(X2,X3)),meet(X3,join(X1,meet(X2,X3)))) = meet(join(X1,meet(X2,X3)),join(X3,meet(X1,X2))),
inference(orient,[status(thm)],[t7087]) ).
cnf(t77,plain,
meet(join(X1,meet(X2,X3)),join(X3,meet(X1,X2))) = join(meet(X1,join(X2,X3)),meet(X3,join(meet(X2,X3),X1))),
inference(cp,[status(thm)],[t65,t31]) ).
cnf(t4876,plain,
join(meet(X1,join(X2,X3)),meet(X3,join(meet(X2,X3),X1))) = meet(join(X1,meet(X2,X3)),join(X3,meet(X1,X2))),
inference(orient,[status(thm)],[t77]) ).
cnf(t5015,plain,
meet(X1,join(X2,X3)) = meet(meet(X1,join(X2,X3)),meet(join(X1,meet(X2,X3)),join(X3,meet(X1,X2)))),
inference(cp,[status(thm)],[t14,t4876]) ).
cnf(t7163,plain,
meet(X1,join(X2,X3)) = meet(X1,meet(join(X2,X3),meet(join(X1,meet(X2,X3)),join(X3,meet(X1,X2))))),
inference(step,[status(thm)],[t5015,t21]) ).
cnf(t25,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(cp,[status(thm)],[t21,t14]) ).
cnf(t99,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(orient,[status(thm)],[t25]) ).
cnf(t236,plain,
meet(X1,meet(X2,meet(join(X1,X3),X4))) = meet(X1,meet(X2,meet(X1,X4))),
inference(cp,[status(thm)],[t233,t99]) ).
cnf(t7130,plain,
meet(X1,meet(X2,meet(join(X1,X3),X4))) = meet(X1,meet(X2,X4)),
inference(step,[status(thm)],[t236,t233]) ).
cnf(t1930,plain,
meet(X1,meet(X2,meet(join(X1,X3),X4))) = meet(X1,meet(X2,X4)),
inference(orient,[status(thm)],[t7130]) ).
cnf(t7164,plain,
meet(X1,join(X2,X3)) = meet(X1,meet(join(X2,X3),join(X3,meet(X1,X2)))),
inference(step,[status(thm)],[t7163,t1930]) ).
cnf(t35,plain,
X1 = meet(X1,join(X2,X1)),
inference(cp,[status(thm)],[t14,t31]) ).
cnf(t48,plain,
meet(X1,join(X2,X1)) = X1,
inference(orient,[status(thm)],[t35]) ).
cnf(t122,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,join(X2,X1)),
inference(cp,[status(thm)],[t119,t59]) ).
cnf(t7098,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(step,[status(thm)],[t122,t43]) ).
cnf(t505,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(orient,[status(thm)],[t7098]) ).
cnf(t515,plain,
join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X3,X1)),
inference(cp,[status(thm)],[t48,t505]) ).
cnf(t7159,plain,
join(X1,meet(X2,X3)) = meet(join(X3,X1),join(X1,meet(X2,X3))),
inference(step,[status(thm)],[t515,t37]) ).
cnf(t4324,plain,
meet(join(X1,X2),join(X2,meet(X3,X1))) = join(X2,meet(X3,X1)),
inference(orient,[status(thm)],[t7159]) ).
cnf(t7165,plain,
meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X1,X2))),
inference(step,[status(thm)],[t7164,t4324]) ).
cnf(t5076,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X3,X2)),
inference(orient,[status(thm)],[t7165]) ).
cnf(t5083,plain,
meet(X1,join(X2,X3)) = meet(X1,join(X3,meet(X2,X1))),
inference(cp,[status(thm)],[t5076,t37]) ).
cnf(t5472,plain,
meet(X1,join(X2,meet(X3,X1))) = meet(X1,join(X3,X2)),
inference(orient,[status(thm)],[t5083]) ).
cnf(t5512,plain,
join(X1,meet(X2,X3)) = join(join(X1,meet(X2,X3)),meet(X3,join(X2,X1))),
inference(cp,[status(thm)],[t59,t5472]) ).
cnf(t7175,plain,
join(X1,meet(X2,X3)) = join(X1,join(meet(X2,X3),meet(X3,join(X2,X1)))),
inference(step,[status(thm)],[t5512,t15]) ).
cnf(t103,plain,
meet(X1,X2) = meet(X1,meet(X2,join(X1,X3))),
inference(cp,[status(thm)],[t99,t37]) ).
cnf(t451,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(orient,[status(thm)],[t103]) ).
cnf(t457,plain,
meet(X1,join(X2,X3)) = join(meet(X1,join(X2,X3)),meet(X2,X1)),
inference(cp,[status(thm)],[t59,t451]) ).
cnf(t7154,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,join(X2,X3))),
inference(step,[status(thm)],[t457,t31]) ).
cnf(t4003,plain,
join(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t7154]) ).
cnf(t7176,plain,
join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X2,X1))),
inference(step,[status(thm)],[t7175,t4003]) ).
cnf(t5748,plain,
join(X1,meet(X2,join(X3,X1))) = join(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t7176]) ).
cnf(t5781,plain,
join(meet(X1,X2),meet(X3,X2)) = join(meet(X1,X2),meet(X2,join(X1,X3))),
inference(cp,[status(thm)],[t5748,t5472]) ).
cnf(t7178,plain,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X1,X3)),
inference(step,[status(thm)],[t5781,t4003]) ).
cnf(t6110,plain,
join(meet(X1,X2),meet(X3,X2)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t7178]) ).
cnf(t6120,plain,
meet(X1,join(X2,X3)) = join(meet(X2,X1),meet(X1,X3)),
inference(cp,[status(thm)],[t6110,t37]) ).
cnf(t6968,plain,
join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)),
inference(orient,[status(thm)],[t6120]) ).
cnf(t225,plain,
meet(X1,meet(meet(X2,meet(X3,X1)),X4)) = meet(meet(X1,meet(X2,X3)),X4),
inference(cp,[status(thm)],[t21,t219]) ).
cnf(t7120,plain,
meet(X1,meet(X2,meet(meet(X3,X1),X4))) = meet(meet(X1,meet(X2,X3)),X4),
inference(step,[status(thm)],[t225,t21]) ).
cnf(t7121,plain,
meet(X1,meet(X2,meet(X3,meet(X1,X4)))) = meet(meet(X1,meet(X2,X3)),X4),
inference(step,[status(thm)],[t7120,t21]) ).
cnf(t7122,plain,
meet(X1,meet(X2,meet(X3,meet(X1,X4)))) = meet(X1,meet(meet(X2,X3),X4)),
inference(step,[status(thm)],[t7121,t21]) ).
cnf(t7123,plain,
meet(X1,meet(X2,meet(X3,meet(X1,X4)))) = meet(X1,meet(X2,meet(X3,X4))),
inference(step,[status(thm)],[t7122,t21]) ).
cnf(t1771,plain,
meet(X1,meet(X2,meet(X3,meet(X1,X4)))) = meet(X1,meet(X2,meet(X3,X4))),
inference(orient,[status(thm)],[t7123]) ).
cnf(t64,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(cp,[status(thm)],[t15,t59]) ).
cnf(t279,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(orient,[status(thm)],[t64]) ).
cnf(t285,plain,
join(X1,join(X2,join(X3,meet(X4,X1)))) = join(X1,join(meet(X4,X1),join(X2,X3))),
inference(cp,[status(thm)],[t279,t108]) ).
cnf(t7146,plain,
join(X1,join(X2,join(X3,meet(X4,X1)))) = join(X1,join(X2,X3)),
inference(step,[status(thm)],[t285,t279]) ).
cnf(t3295,plain,
join(X1,join(X2,join(X3,meet(X4,X1)))) = join(X1,join(X2,X3)),
inference(orient,[status(thm)],[t7146]) ).
cnf(t5842,plain,
meet(join(X1,X2),join(X3,X2)) = meet(join(X1,X2),join(X2,meet(X1,X3))),
inference(cp,[status(thm)],[t5472,t5748]) ).
cnf(t19,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(cp,[status(thm)],[t15,t13]) ).
cnf(t90,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(orient,[status(thm)],[t19]) ).
cnf(t94,plain,
join(X1,X2) = join(X1,join(X2,meet(X1,X3))),
inference(cp,[status(thm)],[t90,t31]) ).
cnf(t319,plain,
join(X1,join(X2,meet(X1,X3))) = join(X1,X2),
inference(orient,[status(thm)],[t94]) ).
cnf(t324,plain,
join(X1,meet(X2,X3)) = meet(join(X1,meet(X2,X3)),join(X2,X1)),
inference(cp,[status(thm)],[t48,t319]) ).
cnf(t7150,plain,
join(X1,meet(X2,X3)) = meet(join(X2,X1),join(X1,meet(X2,X3))),
inference(step,[status(thm)],[t324,t37]) ).
cnf(t3772,plain,
meet(join(X1,X2),join(X2,meet(X1,X3))) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t7150]) ).
cnf(t7179,plain,
meet(join(X1,X2),join(X3,X2)) = join(X2,meet(X1,X3)),
inference(step,[status(thm)],[t5842,t3772]) ).
cnf(t6228,plain,
meet(join(X1,X2),join(X3,X2)) = join(X2,meet(X1,X3)),
inference(orient,[status(thm)],[t7179]) ).
cnf(t6115,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X3,join(X1,X2))),
inference(cp,[status(thm)],[t6110,t14]) ).
cnf(t5754,plain,
join(X1,meet(X2,X3)) = join(X1,meet(X3,join(X1,X2))),
inference(cp,[status(thm)],[t5748,t31]) ).
cnf(t5912,plain,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X3,X2)),
inference(orient,[status(thm)],[t5754]) ).
cnf(t7184,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
inference(step,[status(thm)],[t6115,t5912]) ).
cnf(t6677,plain,
meet(join(X1,X2),join(X1,X3)) = join(X1,meet(X2,X3)),
inference(orient,[status(thm)],[t7184]) ).
cnf(goal_0,negated_conjecture,
meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) != meet(a,meet(join(b,c),join(b,d))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[goal_0,t21]) ).
cnf(g0_1,plain,
meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_0,t21]) ).
cnf(g0_2,plain,
meet(a,meet(join(b,d),meet(join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))),join(b,c)))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_1,t1190]) ).
cnf(g0_3,plain,
meet(a,meet(join(b,d),meet(join(b,c),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_2,t615]) ).
cnf(g0_4,plain,
meet(a,meet(join(d,b),meet(join(b,c),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_3,t31]) ).
cnf(g0_5,plain,
meet(a,meet(join(d,b),meet(join(c,b),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_4,t31]) ).
cnf(g0_6,plain,
meet(a,meet(join(d,b),meet(join(c,b),join(meet(a,join(b,meet(c,d))),join(meet(a,d),meet(a,c)))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_5,t481]) ).
cnf(g0_7,plain,
meet(a,meet(join(d,b),meet(join(c,b),join(meet(a,d),join(meet(a,c),meet(a,join(b,meet(c,d)))))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_6,t907]) ).
cnf(g0_8,plain,
meet(a,meet(join(d,b),meet(join(c,b),join(meet(d,a),join(meet(a,c),meet(a,join(b,meet(c,d)))))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_7,t37]) ).
cnf(g0_9,plain,
meet(a,meet(join(d,b),meet(join(c,b),join(meet(d,a),join(meet(c,a),meet(a,join(b,meet(c,d)))))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_8,t37]) ).
cnf(g0_10,plain,
meet(a,meet(join(d,b),meet(join(c,b),join(meet(d,a),meet(a,join(c,join(b,meet(c,d)))))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_9,t6968]) ).
cnf(g0_11,plain,
meet(a,meet(join(d,b),meet(join(c,b),meet(a,join(d,join(c,join(b,meet(c,d)))))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_10,t6968]) ).
cnf(g0_12,plain,
meet(a,meet(join(d,b),meet(join(c,b),join(d,join(c,join(b,meet(c,d))))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_11,t1771]) ).
cnf(g0_13,plain,
meet(a,meet(join(d,b),meet(join(c,b),join(d,join(c,b))))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_12,t3295]) ).
cnf(g0_14,plain,
meet(a,meet(join(d,b),join(c,b))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_13,t48]) ).
cnf(g0_15,plain,
meet(a,join(b,meet(d,c))) != meet(a,meet(join(b,c),join(b,d))),
inference(rw,[status(thm)],[g0_14,t6228]) ).
cnf(g0_16,plain,
meet(a,join(b,meet(d,c))) != meet(a,join(b,meet(c,d))),
inference(rw,[status(thm)],[g0_15,t6677]) ).
cnf(g0_17,plain,
meet(a,join(b,meet(d,c))) != meet(a,join(b,meet(d,c))),
inference(rw,[status(thm)],[g0_16,t37]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT010-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 19:55:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.59/3.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.59/3.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------