%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : REL001+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:24:11 AM UTC 2026
% Result : Theorem 31.81s 8.10s
% Output : CNFRefutation 31.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 53 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 13 !; 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(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] : join(zero,X0) = X0 ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] : join(zero,X0) = 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(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,
join(zero,sK25) != 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,
top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[status(thm)],[c1,c11]) ).
cnf(d9,plain,
top = join(X0,join(complement(X0),complement(top))),
inference(superposition,[status(thm)],[c11,d8]) ).
cnf(d10,plain,
top = join(X0,join(complement(X0),zero)),
inference(demodulation,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
top = join(X0,join(zero,complement(X0))),
inference(demodulation,[status(thm)],[d10,c0]) ).
cnf(d12,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[status(thm)],[d7,c3]) ).
cnf(d13,plain,
meet(X0,top) = complement(join(zero,complement(X0))),
inference(demodulation,[status(thm)],[d12,c0]) ).
cnf(d14,plain,
meet(zero,top) = complement(top),
inference(superposition,[status(thm)],[c11,d13]) ).
cnf(d15,plain,
meet(zero,top) = zero,
inference(demodulation,[status(thm)],[d14,d7]) ).
cnf(d16,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(superposition,[status(thm)],[d15,d2]) ).
cnf(d17,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(demodulation,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
top = join(join(top,complement(zero)),zero),
inference(superposition,[status(thm)],[d17,d11]) ).
cnf(d19,plain,
top = join(top,join(complement(zero),zero)),
inference(demodulation,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
top = join(top,join(zero,complement(zero))),
inference(demodulation,[status(thm)],[d19,c0]) ).
cnf(d21,plain,
top = join(top,top),
inference(demodulation,[status(thm)],[d20,c11]) ).
cnf(d22,plain,
top = join(top,zero),
inference(superposition,[status(thm)],[d7,c11]) ).
cnf(d23,plain,
top = join(zero,top),
inference(demodulation,[status(thm)],[d22,c0]) ).
cnf(d24,plain,
join(zero,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[d23,c1]) ).
cnf(d25,plain,
join(zero,join(X0,top)) = join(top,X0),
inference(superposition,[status(thm)],[c0,d24]) ).
cnf(d26,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c11,c1]) ).
cnf(d27,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[status(thm)],[d26,d25]) ).
cnf(d28,plain,
top = join(top,complement(zero)),
inference(demodulation,[status(thm)],[d27,d21]) ).
cnf(d29,plain,
zero = join(zero,complement(top)),
inference(demodulation,[status(thm)],[d17,d28]) ).
cnf(d30,plain,
zero = join(zero,zero),
inference(demodulation,[status(thm)],[d29,d7]) ).
cnf(d31,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[d30,c0]) ).
cnf(d32,plain,
join(X0,zero) = join(zero,join(zero,X0)),
inference(superposition,[status(thm)],[d31,d5]) ).
cnf(d33,plain,
join(meet(X0,X0),zero) = join(zero,X0),
inference(superposition,[status(thm)],[d4,d32]) ).
cnf(d34,plain,
join(zero,meet(X0,X0)) = join(zero,X0),
inference(demodulation,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
X0 = join(zero,X0),
inference(demodulation,[status(thm)],[d34,d4]) ).
cnf(d36,plain,
sK25 != sK25,
inference(demodulation,[status(thm)],[c13,d35]) ).
cnf(d37,plain,
$false,
inference(equality_resolution,[status(thm)],[d36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL001+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n006.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 05:24:42 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.81/8.10 % SZS status Theorem for theBenchmark.p
% 31.81/8.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------