%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : REL018+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 : Sun Sep 27 08:24:17 AM UTC 2026
% Result : Theorem 159.52s 23.40s
% Output : CNFRefutation 159.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 13
% Syntax : Number of formulae : 205 ( 203 unt; 0 def)
% Number of atoms : 207 ( 206 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 281 ( 28 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c0,plain,
join(X0,X1) = join(X1,X0),
inference(clausification,[status(esa)],[maddux1_join_commutativity]) ).
cnf(c1,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(clausification,[status(esa)],[maddux2_join_associativity]) ).
cnf(c2,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(clausification,[status(esa)],[maddux3_a_kind_of_de_Morgan]) ).
cnf(c3,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(clausification,[status(esa)],[maddux4_definiton_of_meet]) ).
cnf(c5,plain,
composition(X0,one) = X0,
inference(clausification,[status(esa)],[composition_identity]) ).
cnf(c6,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(clausification,[status(esa)],[composition_distributivity]) ).
cnf(c7,plain,
converse(converse(X0)) = X0,
inference(clausification,[status(esa)],[converse_idempotence]) ).
cnf(c8,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(clausification,[status(esa)],[converse_additivity]) ).
cnf(c9,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(clausification,[status(esa)],[converse_multiplicativity]) ).
cnf(c10,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(clausification,[status(esa)],[converse_cancellativity]) ).
cnf(c11,plain,
top = join(X0,complement(X0)),
inference(clausification,[status(esa)],[def_top]) ).
cnf(c12,plain,
zero = meet(X0,complement(X0)),
inference(clausification,[status(esa)],[def_zero]) ).
cnf(c13,plain,
composition(sK25,top) = sK25,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
composition(complement(sK25),top) != complement(sK25),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(demodulation,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(demodulation,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(demodulation,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(superposition,[status(thm)],[c12,d2]) ).
cnf(d4,plain,
X0 = join(zero,meet(X0,X0)),
inference(demodulation,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
join(X2,join(X0,X1)) = join(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d6,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c11,c3]) ).
cnf(d7,plain,
zero = complement(top),
inference(demodulation,[status(thm)],[d6,c12]) ).
cnf(d8,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(demodulation,[status(thm)],[c10,c0]) ).
cnf(d9,plain,
join(complement(top),composition(converse(sK25),complement(sK25))) = complement(top),
inference(superposition,[status(thm)],[c13,d8]) ).
cnf(d10,plain,
join(zero,composition(converse(sK25),complement(sK25))) = complement(top),
inference(demodulation,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
join(zero,composition(converse(sK25),complement(sK25))) = zero,
inference(demodulation,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
join(X0,zero) = join(zero,join(composition(converse(sK25),complement(sK25)),X0)),
inference(superposition,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
join(X0,join(zero,composition(converse(sK25),complement(sK25)))) = join(X0,zero),
inference(superposition,[status(thm)],[d12,d5]) ).
cnf(d14,plain,
join(X0,zero) = join(X0,zero),
inference(demodulation,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d16,plain,
join(X1,join(X0,zero)) = join(join(X0,X1),zero),
inference(superposition,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
join(X1,join(X0,zero)) = join(X0,join(X1,zero)),
inference(demodulation,[status(thm)],[d16,c1]) ).
cnf(d18,plain,
join(X1,join(X0,zero)) = join(X1,join(zero,X0)),
inference(superposition,[status(thm)],[d17,d5]) ).
cnf(d19,plain,
join(X0,join(zero,X1)) = join(X1,join(zero,X0)),
inference(superposition,[status(thm)],[d18,d5]) ).
cnf(d20,plain,
top = join(top,zero),
inference(superposition,[status(thm)],[d7,c11]) ).
cnf(d21,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[d20,c1]) ).
cnf(d22,plain,
join(top,join(X0,zero)) = join(top,X0),
inference(superposition,[status(thm)],[c0,d21]) ).
cnf(d23,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c11,c1]) ).
cnf(d24,plain,
join(top,zero) = join(X0,join(zero,complement(X0))),
inference(superposition,[status(thm)],[d23,d18]) ).
cnf(d25,plain,
top = join(X0,join(zero,complement(X0))),
inference(demodulation,[status(thm)],[d24,d20]) ).
cnf(d26,plain,
zero = meet(top,zero),
inference(superposition,[status(thm)],[d7,c12]) ).
cnf(d27,plain,
meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(superposition,[status(thm)],[c0,c3]) ).
cnf(d28,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[d27,c3]) ).
cnf(d29,plain,
X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(superposition,[status(thm)],[c0,d2]) ).
cnf(d30,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[d20,d14]) ).
cnf(d31,plain,
join(X0,top) = join(top,join(zero,X0)),
inference(superposition,[status(thm)],[d30,d5]) ).
cnf(d32,plain,
join(complement(zero),top) = join(top,top),
inference(superposition,[status(thm)],[c11,d31]) ).
cnf(d33,plain,
join(top,complement(zero)) = join(top,top),
inference(demodulation,[status(thm)],[d32,c0]) ).
cnf(d34,plain,
zero = join(meet(zero,top),complement(join(top,top))),
inference(superposition,[status(thm)],[d33,d29]) ).
cnf(d35,plain,
zero = join(meet(top,zero),complement(join(top,top))),
inference(demodulation,[status(thm)],[d34,d28]) ).
cnf(d36,plain,
zero = join(zero,complement(join(top,top))),
inference(demodulation,[status(thm)],[d35,d26]) ).
cnf(d37,plain,
top = join(join(top,top),zero),
inference(superposition,[status(thm)],[d36,d25]) ).
cnf(d38,plain,
top = join(top,join(top,zero)),
inference(demodulation,[status(thm)],[d37,c1]) ).
cnf(d39,plain,
top = join(top,top),
inference(demodulation,[status(thm)],[d38,d22]) ).
cnf(d40,plain,
zero = join(zero,complement(top)),
inference(demodulation,[status(thm)],[d36,d39]) ).
cnf(d41,plain,
zero = join(zero,zero),
inference(demodulation,[status(thm)],[d40,d7]) ).
cnf(d42,plain,
join(zero,join(zero,X0)) = join(X0,zero),
inference(superposition,[status(thm)],[d41,d19]) ).
cnf(d43,plain,
join(zero,X0) = join(meet(X0,X0),zero),
inference(superposition,[status(thm)],[d4,d42]) ).
cnf(d44,plain,
join(zero,X0) = join(zero,meet(X0,X0)),
inference(demodulation,[status(thm)],[d43,c0]) ).
cnf(d45,plain,
join(zero,X0) = X0,
inference(demodulation,[status(thm)],[d44,d4]) ).
cnf(d46,plain,
join(zero,X0) = join(X0,zero),
inference(demodulation,[status(thm)],[d42,d45]) ).
cnf(d47,plain,
X0 = join(X0,zero),
inference(demodulation,[status(thm)],[d46,d45]) ).
cnf(d48,plain,
top = join(join(complement(X0),complement(X1)),meet(X1,X0)),
inference(superposition,[status(thm)],[d27,c11]) ).
cnf(d49,plain,
top = join(complement(X0),join(complement(X1),meet(X1,X0))),
inference(demodulation,[status(thm)],[d48,c1]) ).
cnf(d50,plain,
X0 = meet(X0,X0),
inference(demodulation,[status(thm)],[d4,d45]) ).
cnf(d51,plain,
top = join(complement(X0),join(complement(X0),X0)),
inference(superposition,[status(thm)],[d50,d49]) ).
cnf(d52,plain,
top = join(X0,join(complement(X0),complement(X0))),
inference(demodulation,[status(thm)],[d51,d5]) ).
cnf(d53,plain,
top = join(top,complement(X0)),
inference(demodulation,[status(thm)],[d52,d23]) ).
cnf(d54,plain,
top = complement(zero),
inference(superposition,[status(thm)],[d45,c11]) ).
cnf(d55,plain,
meet(zero,X0) = complement(join(complement(X0),top)),
inference(superposition,[status(thm)],[d54,d27]) ).
cnf(d56,plain,
meet(zero,X0) = complement(join(top,complement(X0))),
inference(demodulation,[status(thm)],[d55,c0]) ).
cnf(d57,plain,
meet(zero,X0) = complement(top),
inference(demodulation,[status(thm)],[d56,d53]) ).
cnf(d58,plain,
meet(zero,X0) = zero,
inference(demodulation,[status(thm)],[d57,d7]) ).
cnf(d59,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[status(thm)],[d7,c3]) ).
cnf(d60,plain,
meet(X0,top) = complement(join(zero,complement(X0))),
inference(demodulation,[status(thm)],[d59,c0]) ).
cnf(d61,plain,
meet(X0,top) = complement(complement(X0)),
inference(demodulation,[status(thm)],[d60,d45]) ).
cnf(d62,plain,
X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
inference(superposition,[status(thm)],[d27,d2]) ).
cnf(d63,plain,
X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(demodulation,[status(thm)],[d62,c0]) ).
cnf(d64,plain,
X0 = join(meet(zero,X0),meet(X0,top)),
inference(superposition,[status(thm)],[d54,d63]) ).
cnf(d65,plain,
X0 = join(meet(zero,X0),complement(complement(X0))),
inference(demodulation,[status(thm)],[d64,d61]) ).
cnf(d66,plain,
X0 = join(complement(complement(X0)),meet(zero,X0)),
inference(demodulation,[status(thm)],[d65,c0]) ).
cnf(d67,plain,
X0 = join(complement(complement(X0)),zero),
inference(demodulation,[status(thm)],[d66,d58]) ).
cnf(d68,plain,
X0 = complement(complement(X0)),
inference(demodulation,[status(thm)],[d67,d47]) ).
cnf(d69,plain,
meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[status(thm)],[d7,c3]) ).
cnf(d70,plain,
meet(top,X0) = complement(complement(X0)),
inference(demodulation,[status(thm)],[d69,d45]) ).
cnf(d71,plain,
meet(top,X0) = X0,
inference(demodulation,[status(thm)],[d70,d68]) ).
cnf(d72,plain,
meet(join(zero,complement(X0)),X1) = complement(join(meet(top,X0),complement(X1))),
inference(superposition,[status(thm)],[d69,c3]) ).
cnf(d73,plain,
meet(X1,join(zero,complement(X0))) = complement(join(complement(X1),meet(top,X0))),
inference(superposition,[status(thm)],[d69,c3]) ).
cnf(d74,plain,
meet(join(zero,complement(X2)),join(complement(X0),meet(top,X1))) = complement(join(meet(top,X2),meet(X0,join(zero,complement(X1))))),
inference(superposition,[status(thm)],[d73,d72]) ).
cnf(d75,plain,
meet(complement(X0),join(complement(X1),meet(top,X2))) = complement(join(meet(top,X0),meet(X1,join(zero,complement(X2))))),
inference(demodulation,[status(thm)],[d74,d45]) ).
cnf(d76,plain,
meet(complement(X1),join(complement(X2),X0)) = complement(join(meet(top,X1),meet(X2,join(zero,complement(X0))))),
inference(demodulation,[status(thm)],[d75,d71]) ).
cnf(d77,plain,
meet(complement(X0),join(complement(X1),X2)) = complement(join(X0,meet(X1,join(zero,complement(X2))))),
inference(demodulation,[status(thm)],[d76,d71]) ).
cnf(d78,plain,
meet(complement(X1),join(complement(X2),X0)) = complement(join(X1,meet(X2,complement(X0)))),
inference(demodulation,[status(thm)],[d77,d45]) ).
cnf(d79,plain,
X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(superposition,[status(thm)],[c3,d2]) ).
cnf(d80,plain,
X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(demodulation,[status(thm)],[d79,c0]) ).
cnf(d81,plain,
join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[d2,c1]) ).
cnf(d82,plain,
join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d83,plain,
join(top,join(zero,X0)) = join(X0,top),
inference(superposition,[status(thm)],[d30,d82]) ).
cnf(d84,plain,
join(X0,join(top,zero)) = join(X0,top),
inference(superposition,[status(thm)],[d83,d5]) ).
cnf(d85,plain,
join(X0,top) = join(X0,top),
inference(demodulation,[status(thm)],[d84,d20]) ).
cnf(d86,plain,
join(X1,join(X0,top)) = join(join(X0,X1),top),
inference(superposition,[status(thm)],[d15,d85]) ).
cnf(d87,plain,
join(X1,join(X0,top)) = join(X0,join(X1,top)),
inference(demodulation,[status(thm)],[d86,c1]) ).
cnf(d88,plain,
join(X1,join(X0,top)) = join(X1,join(top,X0)),
inference(superposition,[status(thm)],[d87,d5]) ).
cnf(d89,plain,
join(top,top) = join(X0,join(top,complement(X0))),
inference(superposition,[status(thm)],[d23,d88]) ).
cnf(d90,plain,
top = join(X0,join(top,complement(X0))),
inference(demodulation,[status(thm)],[d89,d39]) ).
cnf(d91,plain,
top = join(X0,top),
inference(demodulation,[status(thm)],[d90,d53]) ).
cnf(d92,plain,
join(X1,join(top,X0)) = join(X1,join(X0,top)),
inference(superposition,[status(thm)],[d87,d82]) ).
cnf(d93,plain,
join(top,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[d39,c1]) ).
cnf(d94,plain,
join(top,X0) = join(top,join(X0,top)),
inference(superposition,[status(thm)],[d93,d92]) ).
cnf(d95,plain,
join(top,X0) = join(top,top),
inference(demodulation,[status(thm)],[d94,d91]) ).
cnf(d96,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[d95,d91]) ).
cnf(d97,plain,
join(X1,join(complement(X1),X0)) = top,
inference(demodulation,[status(thm)],[d23,d96]) ).
cnf(d98,plain,
join(X0,join(X1,complement(X0))) = top,
inference(superposition,[status(thm)],[c0,d97]) ).
cnf(d99,plain,
top = join(X0,complement(meet(X0,X1))),
inference(superposition,[status(thm)],[d98,d81]) ).
cnf(d100,plain,
meet(X0,meet(complement(X0),X1)) = complement(top),
inference(superposition,[status(thm)],[d99,c3]) ).
cnf(d101,plain,
meet(X0,meet(complement(X0),X1)) = zero,
inference(demodulation,[status(thm)],[d100,d7]) ).
cnf(d102,plain,
meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[status(thm)],[c3,c3]) ).
cnf(d103,plain,
meet(X0,join(zero,complement(X1))) = complement(join(complement(X0),meet(top,X1))),
inference(superposition,[status(thm)],[d7,d102]) ).
cnf(d104,plain,
meet(X1,complement(X0)) = complement(join(complement(X1),meet(top,X0))),
inference(demodulation,[status(thm)],[d103,d45]) ).
cnf(d105,plain,
meet(X1,complement(X0)) = complement(join(complement(X1),X0)),
inference(demodulation,[status(thm)],[d104,d71]) ).
cnf(d106,plain,
meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(superposition,[status(thm)],[c3,c3]) ).
cnf(d107,plain,
meet(join(zero,complement(X0)),X1) = complement(join(meet(top,X0),complement(X1))),
inference(superposition,[status(thm)],[d7,d106]) ).
cnf(d108,plain,
meet(complement(X0),X1) = complement(join(meet(top,X0),complement(X1))),
inference(demodulation,[status(thm)],[d107,d45]) ).
cnf(d109,plain,
meet(complement(X0),X1) = complement(join(complement(complement(X0)),complement(X1))),
inference(demodulation,[status(thm)],[d108,d70]) ).
cnf(d110,plain,
meet(complement(X0),X1) = meet(complement(X0),X1),
inference(demodulation,[status(thm)],[d109,c3]) ).
cnf(d111,plain,
complement(X0) = meet(complement(X0),complement(X0)),
inference(superposition,[status(thm)],[d50,d110]) ).
cnf(d112,plain,
complement(X0) = complement(X0),
inference(demodulation,[status(thm)],[d111,d50]) ).
cnf(d113,plain,
complement(complement(X0)) = X0,
inference(superposition,[status(thm)],[d68,d112]) ).
cnf(d114,plain,
meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(superposition,[status(thm)],[d113,d105]) ).
cnf(d115,plain,
meet(X0,complement(join(X0,X1))) = zero,
inference(superposition,[status(thm)],[d114,d101]) ).
cnf(d116,plain,
X0 = join(meet(X0,join(X0,X1)),zero),
inference(superposition,[status(thm)],[d115,d80]) ).
cnf(d117,plain,
X0 = meet(X0,join(X0,X1)),
inference(demodulation,[status(thm)],[d116,d47]) ).
cnf(d118,plain,
complement(X0) = complement(join(X0,meet(X0,complement(X1)))),
inference(superposition,[status(thm)],[d117,d78]) ).
cnf(d119,plain,
complement(X1) = complement(join(X1,meet(X1,X0))),
inference(superposition,[status(thm)],[d113,d118]) ).
cnf(d120,plain,
join(X0,meet(X0,X1)) = complement(complement(X0)),
inference(superposition,[status(thm)],[d119,d68]) ).
cnf(d121,plain,
join(X0,meet(X0,X1)) = X0,
inference(demodulation,[status(thm)],[d120,d68]) ).
cnf(d122,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[d28,d121]) ).
cnf(d123,plain,
meet(complement(X0),X1) = complement(join(complement(X1),X0)),
inference(superposition,[status(thm)],[d68,d27]) ).
cnf(d124,plain,
join(top,join(X0,top)) = join(top,X0),
inference(superposition,[status(thm)],[d93,d88]) ).
cnf(d125,plain,
join(top,top) = join(top,X0),
inference(demodulation,[status(thm)],[d124,d91]) ).
cnf(d126,plain,
top = join(top,X0),
inference(demodulation,[status(thm)],[d125,d91]) ).
cnf(d127,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c7,c8]) ).
cnf(d128,plain,
converse(top) = join(X0,converse(top)),
inference(superposition,[status(thm)],[d91,d127]) ).
cnf(d129,plain,
top = converse(top),
inference(superposition,[status(thm)],[d128,d126]) ).
cnf(d130,plain,
converse(composition(top,X0)) = composition(converse(X0),top),
inference(superposition,[status(thm)],[d129,c9]) ).
cnf(d131,plain,
join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
inference(superposition,[status(thm)],[c8,c1]) ).
cnf(d132,plain,
top = join(converse(join(X0,X1)),complement(converse(X0))),
inference(superposition,[status(thm)],[d98,d131]) ).
cnf(d133,plain,
top = join(complement(converse(X0)),converse(join(X0,X1))),
inference(demodulation,[status(thm)],[d132,c0]) ).
cnf(d134,plain,
top = join(complement(converse(meet(X0,X1))),converse(X1)),
inference(superposition,[status(thm)],[d63,d133]) ).
cnf(d135,plain,
top = join(converse(X1),complement(converse(meet(X0,X1)))),
inference(demodulation,[status(thm)],[d134,c0]) ).
cnf(d136,plain,
meet(X0,X1) = meet(complement(complement(X0)),X1),
inference(superposition,[status(thm)],[d68,d110]) ).
cnf(d137,plain,
meet(X0,X1) = meet(X0,X1),
inference(demodulation,[status(thm)],[d136,d68]) ).
cnf(d138,plain,
meet(X0,join(X0,X1)) = X0,
inference(superposition,[status(thm)],[d117,d137]) ).
cnf(d139,plain,
composition(join(X0,X2),X1) = join(composition(X2,X1),composition(X0,X1)),
inference(superposition,[status(thm)],[c6,c0]) ).
cnf(d140,plain,
converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[status(thm)],[c7,c8]) ).
cnf(d141,plain,
converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[status(thm)],[d45,d140]) ).
cnf(d142,plain,
X0 = join(converse(zero),X0),
inference(demodulation,[status(thm)],[d141,c7]) ).
cnf(d143,plain,
converse(X0) = join(zero,converse(X0)),
inference(superposition,[status(thm)],[d142,d127]) ).
cnf(d144,plain,
converse(X0) = converse(X0),
inference(demodulation,[status(thm)],[d143,d45]) ).
cnf(d145,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c7,c9]) ).
cnf(d146,plain,
composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[status(thm)],[d145,d144]) ).
cnf(d147,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c5,d146]) ).
cnf(d148,plain,
composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[d147,c7]) ).
cnf(d149,plain,
one = converse(one),
inference(superposition,[status(thm)],[d148,c5]) ).
cnf(d150,plain,
composition(one,X0) = X0,
inference(demodulation,[status(thm)],[d148,d149]) ).
cnf(d151,plain,
composition(join(X1,one),X0) = join(X0,composition(X1,X0)),
inference(superposition,[status(thm)],[d150,d139]) ).
cnf(d152,plain,
meet(X0,composition(join(X1,one),X0)) = X0,
inference(superposition,[status(thm)],[d151,d138]) ).
cnf(d153,plain,
meet(X0,composition(top,X0)) = X0,
inference(superposition,[status(thm)],[d126,d152]) ).
cnf(d154,plain,
top = join(converse(composition(top,X0)),complement(converse(X0))),
inference(superposition,[status(thm)],[d153,d135]) ).
cnf(d155,plain,
top = join(complement(converse(X0)),converse(composition(top,X0))),
inference(demodulation,[status(thm)],[d154,c0]) ).
cnf(d156,plain,
top = join(complement(converse(X0)),composition(converse(X0),top)),
inference(demodulation,[status(thm)],[d155,d130]) ).
cnf(d157,plain,
X0 = converse(converse(X0)),
inference(superposition,[status(thm)],[c7,d144]) ).
cnf(d158,plain,
top = join(complement(X0),composition(converse(converse(X0)),top)),
inference(superposition,[status(thm)],[d157,d156]) ).
cnf(d159,plain,
top = join(complement(X0),composition(X0,top)),
inference(demodulation,[status(thm)],[d158,c7]) ).
cnf(d160,plain,
meet(complement(composition(X0,top)),X0) = complement(top),
inference(superposition,[status(thm)],[d159,d123]) ).
cnf(d161,plain,
meet(X0,complement(composition(X0,top))) = complement(top),
inference(demodulation,[status(thm)],[d160,d28]) ).
cnf(d162,plain,
meet(X0,complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[d161,d7]) ).
cnf(d163,plain,
X0 = join(meet(composition(X0,top),X0),zero),
inference(superposition,[status(thm)],[d162,d63]) ).
cnf(d164,plain,
X0 = meet(composition(X0,top),X0),
inference(demodulation,[status(thm)],[d163,d47]) ).
cnf(d165,plain,
X0 = meet(X0,composition(X0,top)),
inference(demodulation,[status(thm)],[d164,d28]) ).
cnf(d166,plain,
join(composition(X0,top),X0) = composition(X0,top),
inference(superposition,[status(thm)],[d165,d122]) ).
cnf(d167,plain,
join(X0,composition(X0,top)) = composition(X0,top),
inference(demodulation,[status(thm)],[d166,c0]) ).
cnf(d168,plain,
join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))) = complement(X1),
inference(superposition,[status(thm)],[c7,d8]) ).
cnf(d169,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[d142,d47]) ).
cnf(d170,plain,
composition(converse(sK25),complement(sK25)) = zero,
inference(demodulation,[status(thm)],[d11,d45]) ).
cnf(d171,plain,
converse(zero) = composition(converse(complement(sK25)),sK25),
inference(superposition,[status(thm)],[d170,d145]) ).
cnf(d172,plain,
zero = composition(converse(complement(sK25)),sK25),
inference(demodulation,[status(thm)],[d171,d169]) ).
cnf(d173,plain,
join(complement(sK25),composition(complement(sK25),complement(zero))) = complement(sK25),
inference(superposition,[status(thm)],[d172,d168]) ).
cnf(d174,plain,
join(complement(sK25),composition(complement(sK25),top)) = complement(sK25),
inference(demodulation,[status(thm)],[d173,d54]) ).
cnf(d175,plain,
composition(complement(sK25),top) = complement(sK25),
inference(demodulation,[status(thm)],[d174,d167]) ).
cnf(d176,plain,
$false,
inference(resolution,[status(thm)],[c14,d175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.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 : Sat Sep 26 05:29:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 159.52/23.40 % SZS status Theorem for theBenchmark.p
% 159.52/23.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------