%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : REL046+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 : n013.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 08:24:26 AM UTC 2026
% Result : Theorem 32.60s 6.51s
% Output : CNFRefutation 32.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 25 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 3 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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 : 39 ( 0 sgn 15 !; 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(goals,conjecture,
! [X0,X1,X2] :
( join(X0,meet(X1,X2)) = meet(X1,X2)
=> ( join(X0,X2) = X2
& join(X0,X1) = X1 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( join(X0,meet(X1,X2)) = meet(X1,X2)
=> ( join(X0,X2) = X2
& join(X0,X1) = X1 ) ),
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(c13,plain,
join(sK25,meet(sK26,sK27)) = meet(sK26,sK27),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
( join(sK25,sK27) != sK27
| join(sK25,sK26) != sK26 ),
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)),complement(join(complement(X1),complement(X0)))),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
X1 = join(complement(join(complement(X1),X0)),meet(X0,X1)),
inference(demodulation,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
X0 = join(meet(X1,X0),complement(join(complement(X0),X1))),
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
join(sK25,join(meet(sK26,sK27),X0)) = join(meet(sK26,sK27),X0),
inference(superposition,[status(thm)],[c13,c1]) ).
cnf(d5,plain,
join(sK25,sK27) = join(meet(sK26,sK27),complement(join(complement(sK27),sK26))),
inference(superposition,[status(thm)],[d3,d4]) ).
cnf(d6,plain,
join(sK27,sK25) = join(meet(sK26,sK27),complement(join(complement(sK27),sK26))),
inference(demodulation,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
join(sK27,sK25) = sK27,
inference(demodulation,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( join(sK25,sK27) != sK27
| join(sK26,sK25) != sK26 ),
inference(demodulation,[status(thm)],[c14,c0]) ).
cnf(d9,plain,
( join(sK27,sK25) != sK27
| join(sK26,sK25) != sK26 ),
inference(demodulation,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
X0 = join(complement(join(X1,complement(X0))),complement(join(complement(X0),complement(X1)))),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d11,plain,
X0 = join(complement(join(X1,complement(X0))),meet(X0,X1)),
inference(demodulation,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
X1 = join(meet(X1,X0),complement(join(X0,complement(X1)))),
inference(demodulation,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
join(sK25,sK26) = join(meet(sK26,sK27),complement(join(sK27,complement(sK26)))),
inference(superposition,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
join(sK26,sK25) = join(meet(sK26,sK27),complement(join(sK27,complement(sK26)))),
inference(demodulation,[status(thm)],[d13,c0]) ).
cnf(d15,plain,
join(sK26,sK25) = sK26,
inference(demodulation,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
join(sK27,sK25) != sK27,
inference(resolution,[status(thm)],[d15,d9]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL046+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.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 05:40:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.60/6.51 % SZS status Theorem for theBenchmark.p
% 32.60/6.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------