%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 07:47:42 AM UTC 2026
% Result : Unsatisfiable 162.49s 46.75s
% Output : CNFRefutation 162.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 4 RR)
% Number of literals : 57 ( 56 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_of_meet2,axiom,
meet2(X0,X1) = meet2(X1,X0) ).
cnf(absorption1_2,axiom,
meet2(X0,join(X0,X1)) = X0 ).
cnf(absorption2_2,axiom,
join(X0,meet2(X0,X1)) = X0 ).
cnf(associativity_of_meet2,axiom,
meet2(meet2(X0,X1),X2) = meet2(X0,meet2(X1,X2)) ).
cnf(prove_meets_are_same,negated_conjecture,
meet(a,b) != meet2(a,b) ).
cnf(idempotence_of_meet,axiom,
meet(X0,X0) = X0 ).
cnf(absorption1,axiom,
meet(X0,join(X0,X1)) = X0 ).
cnf(absorption2,axiom,
join(X0,meet(X0,X1)) = X0 ).
cnf(commutativity_of_meet,axiom,
meet(X0,X1) = meet(X1,X0) ).
cnf(commutativity_of_join,axiom,
join(X0,X1) = join(X1,X0) ).
cnf(associativity_of_meet,axiom,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)) ).
cnf(associativity_of_join,axiom,
join(join(X0,X1),X2) = join(X0,join(X1,X2)) ).
cnf(c1,plain,
meet2(X0,X1) = meet2(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_meet2]) ).
cnf(c2,plain,
meet2(X0,join(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption1_2]) ).
cnf(c3,plain,
join(X0,meet2(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption2_2]) ).
cnf(c4,plain,
meet2(meet2(X0,X1),X2) = meet2(X0,meet2(X1,X2)),
inference(clausification,[status(esa)],[associativity_of_meet2]) ).
cnf(c5,plain,
meet(a,b) != meet2(a,b),
inference(clausification,[status(esa)],[prove_meets_are_same]) ).
cnf(c6,plain,
meet(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_meet]) ).
cnf(c8,plain,
meet(X0,join(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption1]) ).
cnf(c9,plain,
join(X0,meet(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption2]) ).
cnf(c10,plain,
meet(X0,X1) = meet(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_meet]) ).
cnf(c11,plain,
join(X0,X1) = join(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_join]) ).
cnf(c12,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(clausification,[status(esa)],[associativity_of_meet]) ).
cnf(c13,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(clausification,[status(esa)],[associativity_of_join]) ).
cnf(d0,plain,
join(meet2(X0,X1),meet2(X0,meet2(X1,X2))) = meet2(X0,X1),
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d1,plain,
meet2(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c11,c2]) ).
cnf(d2,plain,
meet2(meet(X0,X1),X0) = meet(X0,X1),
inference(superposition,[status(thm)],[c9,d1]) ).
cnf(d3,plain,
meet2(X0,meet(X0,X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
join(meet2(X2,X0),meet2(X2,meet(X0,X1))) = meet2(X2,X0),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
meet2(X0,meet(X1,X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[c10,d3]) ).
cnf(d6,plain,
join(meet2(X0,X1),meet(X0,X1)) = meet2(X0,X1),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
join(X0,meet2(X1,X0)) = X0,
inference(superposition,[status(thm)],[c1,c3]) ).
cnf(d8,plain,
join(X2,meet2(X0,meet2(X1,X2))) = X2,
inference(superposition,[status(thm)],[c4,d7]) ).
cnf(d9,plain,
join(X0,X1) = join(X0,join(X1,meet2(X2,meet2(X3,join(X0,X1))))),
inference(superposition,[status(thm)],[d8,c13]) ).
cnf(d10,plain,
join(meet2(X1,X0),meet2(X0,meet2(X1,X2))) = meet2(X0,X1),
inference(superposition,[status(thm)],[c1,d0]) ).
cnf(d11,plain,
join(X2,meet2(X0,X1)) = join(X2,meet2(X1,X0)),
inference(superposition,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
join(meet2(X1,X2),X0) = join(X0,meet2(X2,X1)),
inference(superposition,[status(thm)],[d11,c11]) ).
cnf(d13,plain,
join(meet(X0,X1),meet(X0,meet(X1,X2))) = meet(X0,X1),
inference(superposition,[status(thm)],[c12,c9]) ).
cnf(d14,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c11,c8]) ).
cnf(d15,plain,
meet(meet2(X0,X1),X0) = meet2(X0,X1),
inference(superposition,[status(thm)],[c3,d14]) ).
cnf(d16,plain,
meet(X0,meet2(X0,X1)) = meet2(X0,X1),
inference(demodulation,[status(thm)],[d15,c10]) ).
cnf(d17,plain,
join(meet(X2,X0),meet(X2,meet2(X0,X1))) = meet(X2,X0),
inference(superposition,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c10,c9]) ).
cnf(d19,plain,
meet(meet(X1,X0),X0) = meet(X1,X0),
inference(superposition,[status(thm)],[d18,d14]) ).
cnf(d20,plain,
meet(X0,meet(X1,X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[d19,c12]) ).
cnf(d21,plain,
meet(X1,X0) = meet(X1,X0),
inference(demodulation,[status(thm)],[d20,c6]) ).
cnf(d22,plain,
meet(meet2(X1,X0),X0) = meet2(X1,X0),
inference(superposition,[status(thm)],[d7,d14]) ).
cnf(d23,plain,
meet(X1,meet2(X0,X1)) = meet2(X0,X1),
inference(demodulation,[status(thm)],[d22,c10]) ).
cnf(d24,plain,
meet2(X1,X0) = meet(X0,meet2(X1,X0)),
inference(superposition,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
join(meet(X0,X1),meet2(X1,X0)) = meet(X0,X1),
inference(superposition,[status(thm)],[d24,d17]) ).
cnf(d26,plain,
join(meet2(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(demodulation,[status(thm)],[d25,d12]) ).
cnf(d27,plain,
meet2(X0,X1) = meet(X0,X1),
inference(demodulation,[status(thm)],[d26,d6]) ).
cnf(d28,plain,
meet2(a,b) != meet2(a,b),
inference(demodulation,[status(thm)],[c5,d27]) ).
cnf(d29,plain,
meet2(X0,meet2(X1,X2)) = meet2(X2,meet2(X0,X1)),
inference(superposition,[status(thm)],[c4,c1]) ).
cnf(d30,plain,
join(X2,meet2(X2,meet2(X0,X1))) = X2,
inference(superposition,[status(thm)],[d29,d8]) ).
cnf(d31,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d30,c3]) ).
cnf(d32,plain,
$false,
inference(resolution,[status(thm)],[d31,d28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT011-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44 % Computer : n008.cluster.edu
% 0.15/5.44 % Model : x86_64 x86_64
% 0.15/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.44 % Memory : 8046.5625MB
% 0.15/5.44 % OS : Linux 6.8.0-71-generic
% 0.15/5.44 % CPULimit : 300
% 0.15/5.44 % WCLimit : 300
% 0.15/5.44 % DateTime : Fri Sep 25 19:56:45 UTC 2026
% 0.15/5.44 % CPUTime :
% 0.15/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 162.49/46.75 % SZS status Unsatisfiable for theBenchmark.p
% 162.49/46.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------