%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 07:47:41 AM UTC 2026
% Result : Unsatisfiable 33.53s 4.70s
% Output : CNFRefutation 33.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of clauses : 68 ( 40 unt; 0 nHn; 64 RR)
% Number of literals : 121 ( 0 equ; 55 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 93 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(join_x_and_0,axiom,
join(X0,n0,X0) ).
cnf(meet_0_and_x,axiom,
meet(n0,X0,n0) ).
cnf(commutativity_of_meet,axiom,
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ) ).
cnf(commutativity_of_join,axiom,
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ) ).
cnf(absorbtion2,axiom,
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ) ).
cnf(associativity_of_meet1,axiom,
( meet(X2,X3,X5)
| ~ meet(X0,X4,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ) ).
cnf(associativity_of_meet2,axiom,
( meet(X0,X4,X5)
| ~ meet(X2,X3,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ) ).
cnf(modularity2,axiom,
( meet(X1,X3,X5)
| ~ join(X0,X4,X5)
| ~ meet(X2,X1,X4)
| ~ join(X0,X2,X3)
| ~ meet(X0,X1,X0) ) ).
cnf(meet_a2_and_b2,negated_conjecture,
~ meet(a2,b2,r1) ).
cnf(meet_a_and_b,negated_conjecture,
meet(a,b,c) ).
cnf(meet_c_and_r2,negated_conjecture,
meet(c,r2,n0) ).
cnf(meet_r2_and_b,negated_conjecture,
meet(r2,b,e) ).
cnf(join_a_and_b,negated_conjecture,
join(a,b,c2) ).
cnf(meet_c2_and_r1,negated_conjecture,
meet(c2,r1,n0) ).
cnf(meet_r2_and_a,negated_conjecture,
meet(r2,a,d) ).
cnf(join_r1_and_e,negated_conjecture,
join(r1,e,a2) ).
cnf(join_r1_and_d,negated_conjecture,
join(r1,d,b2) ).
cnf(c4,plain,
join(X0,n0,X0),
inference(clausification,[status(esa)],[join_x_and_0]) ).
cnf(c5,plain,
meet(n0,X0,n0),
inference(clausification,[status(esa)],[meet_0_and_x]) ).
cnf(c10,plain,
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[commutativity_of_meet]) ).
cnf(c11,plain,
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
inference(clausification,[status(esa)],[commutativity_of_join]) ).
cnf(c13,plain,
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(clausification,[status(esa)],[absorbtion2]) ).
cnf(c14,plain,
( meet(X2,X3,X5)
| ~ meet(X0,X4,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[associativity_of_meet1]) ).
cnf(c15,plain,
( meet(X0,X4,X5)
| ~ meet(X2,X3,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[associativity_of_meet2]) ).
cnf(c19,plain,
( ~ meet(X0,X3,X0)
| ~ meet(X1,X3,X5)
| ~ join(X0,X5,X4)
| meet(X3,X2,X4)
| ~ join(X0,X1,X2) ),
inference(clausification,[status(esa)],[modularity2]) ).
cnf(c20,plain,
~ meet(a2,b2,r1),
inference(clausification,[status(esa)],[meet_a2_and_b2]) ).
cnf(c21,plain,
meet(a,b,c),
inference(clausification,[status(esa)],[meet_a_and_b]) ).
cnf(c23,plain,
meet(c,r2,n0),
inference(clausification,[status(esa)],[meet_c_and_r2]) ).
cnf(c24,plain,
meet(r2,b,e),
inference(clausification,[status(esa)],[meet_r2_and_b]) ).
cnf(c25,plain,
join(a,b,c2),
inference(clausification,[status(esa)],[join_a_and_b]) ).
cnf(c27,plain,
meet(c2,r1,n0),
inference(clausification,[status(esa)],[meet_c2_and_r1]) ).
cnf(c28,plain,
meet(r2,a,d),
inference(clausification,[status(esa)],[meet_r2_and_a]) ).
cnf(c29,plain,
join(r1,e,a2),
inference(clausification,[status(esa)],[join_r1_and_e]) ).
cnf(c30,plain,
join(r1,d,b2),
inference(clausification,[status(esa)],[join_r1_and_d]) ).
cnf(d0,plain,
meet(r1,a2,r1),
inference(resolution,[status(thm)],[c29,c13]) ).
cnf(d1,plain,
( meet(a2,X1,X3)
| ~ meet(X0,a2,X2)
| ~ join(r1,X2,X3)
| ~ join(r1,X0,X1) ),
inference(resolution,[status(thm)],[d0,c19]) ).
cnf(d2,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[c25,c13]) ).
cnf(d3,plain,
( ~ meet(r2,X2,X0)
| ~ meet(X2,X1,a)
| meet(X0,X1,d) ),
inference(resolution,[status(thm)],[c28,c14]) ).
cnf(d4,plain,
( meet(d,X0,d)
| ~ meet(a,X0,a) ),
inference(resolution,[status(thm)],[d3,c28]) ).
cnf(d5,plain,
meet(d,c2,d),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
meet(b,r2,e),
inference(resolution,[status(thm)],[c24,c10]) ).
cnf(d7,plain,
( ~ meet(X3,X0,n0)
| meet(X3,X2,n0)
| ~ meet(X0,X1,X2) ),
inference(resolution,[status(thm)],[c15,c5]) ).
cnf(d8,plain,
( ~ meet(X0,b,n0)
| meet(X0,e,n0) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
meet(b,a,c),
inference(resolution,[status(thm)],[c21,c10]) ).
cnf(d10,plain,
meet(a,r2,d),
inference(resolution,[status(thm)],[c28,c10]) ).
cnf(d11,plain,
( ~ meet(X2,X0,c)
| meet(X2,X1,n0)
| ~ meet(X0,r2,X1) ),
inference(resolution,[status(thm)],[c15,c23]) ).
cnf(d12,plain,
( ~ meet(X0,a,c)
| meet(X0,d,n0) ),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
meet(b,d,n0),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
meet(d,b,n0),
inference(resolution,[status(thm)],[d13,c10]) ).
cnf(d15,plain,
meet(d,e,n0),
inference(resolution,[status(thm)],[d14,d8]) ).
cnf(d16,plain,
( ~ meet(d,X2,X0)
| ~ meet(X2,X1,e)
| meet(X0,X1,n0) ),
inference(resolution,[status(thm)],[d15,c14]) ).
cnf(d17,plain,
( meet(d,X0,n0)
| ~ meet(c2,X0,e) ),
inference(resolution,[status(thm)],[d16,d5]) ).
cnf(d18,plain,
join(e,r1,a2),
inference(resolution,[status(thm)],[c29,c11]) ).
cnf(d19,plain,
meet(r1,c2,n0),
inference(resolution,[status(thm)],[c27,c10]) ).
cnf(d20,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[c25,c11]) ).
cnf(d21,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[d20,c13]) ).
cnf(d22,plain,
( ~ meet(r2,X2,X0)
| ~ meet(X2,X1,b)
| meet(X0,X1,e) ),
inference(resolution,[status(thm)],[c14,c24]) ).
cnf(d23,plain,
( meet(e,X0,e)
| ~ meet(b,X0,b) ),
inference(resolution,[status(thm)],[d22,c24]) ).
cnf(d24,plain,
meet(e,c2,e),
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
( meet(c2,X1,X3)
| ~ meet(X0,c2,X2)
| ~ join(e,X2,X3)
| ~ join(e,X0,X1) ),
inference(resolution,[status(thm)],[d24,c19]) ).
cnf(d26,plain,
( meet(c2,X1,X0)
| ~ join(e,r1,X1)
| ~ join(e,n0,X0) ),
inference(resolution,[status(thm)],[d25,d19]) ).
cnf(d27,plain,
( meet(c2,a2,X0)
| ~ join(e,n0,X0) ),
inference(resolution,[status(thm)],[d26,d18]) ).
cnf(d28,plain,
meet(c2,a2,e),
inference(resolution,[status(thm)],[d27,c4]) ).
cnf(d29,plain,
meet(d,a2,n0),
inference(resolution,[status(thm)],[d28,d17]) ).
cnf(d30,plain,
( meet(a2,X1,X0)
| ~ join(r1,d,X1)
| ~ join(r1,n0,X0) ),
inference(resolution,[status(thm)],[d29,d1]) ).
cnf(d31,plain,
( meet(a2,b2,X0)
| ~ join(r1,n0,X0) ),
inference(resolution,[status(thm)],[d30,c30]) ).
cnf(d32,plain,
meet(a2,b2,r1),
inference(resolution,[status(thm)],[d31,c4]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[c20,d32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 19:56:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.53/4.70 % SZS status Unsatisfiable for theBenchmark.p
% 33.53/4.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------