%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 07:47:40 AM UTC 2026
% Result : Unsatisfiable 55.40s 13.13s
% Output : CNFRefutation 55.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of clauses : 65 ( 41 unt; 0 nHn; 59 RR)
% Number of literals : 108 ( 0 equ; 45 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 : 76 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(join_0_and_x,axiom,
join(n0,X0,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(modularity2,axiom,
( meet(X1,X3,X5)
| ~ join(X0,X4,X5)
| ~ meet(X2,X1,X4)
| ~ join(X0,X2,X3)
| ~ meet(X0,X1,X0) ) ).
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(meet_a2_and_b2,negated_conjecture,
~ meet(a2,b2,r1) ).
cnf(c2,plain,
join(n0,X0,X0),
inference(clausification,[status(esa)],[join_0_and_x]) ).
cnf(c3,plain,
meet(n0,X0,n0),
inference(clausification,[status(esa)],[meet_0_and_x]) ).
cnf(c6,plain,
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[commutativity_of_meet]) ).
cnf(c7,plain,
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
inference(clausification,[status(esa)],[commutativity_of_join]) ).
cnf(c9,plain,
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(clausification,[status(esa)],[absorbtion2]) ).
cnf(c10,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(X5,X0,X4)
| ~ join(X3,X5,X1)
| ~ meet(X3,X0,X3)
| ~ join(X3,X4,X2)
| meet(X0,X1,X2) ),
inference(clausification,[status(esa)],[modularity2]) ).
cnf(c18,plain,
meet(a,b,c),
inference(clausification,[status(esa)],[meet_a_and_b]) ).
cnf(c20,plain,
meet(c,r2,n0),
inference(clausification,[status(esa)],[meet_c_and_r2]) ).
cnf(c21,plain,
meet(r2,b,e),
inference(clausification,[status(esa)],[meet_r2_and_b]) ).
cnf(c22,plain,
join(a,b,c2),
inference(clausification,[status(esa)],[join_a_and_b]) ).
cnf(c24,plain,
meet(c2,r1,n0),
inference(clausification,[status(esa)],[meet_c2_and_r1]) ).
cnf(c25,plain,
meet(r2,a,d),
inference(clausification,[status(esa)],[meet_r2_and_a]) ).
cnf(c26,plain,
join(r1,e,a2),
inference(clausification,[status(esa)],[join_r1_and_e]) ).
cnf(c27,plain,
join(r1,d,b2),
inference(clausification,[status(esa)],[join_r1_and_d]) ).
cnf(c28,plain,
~ meet(a2,b2,r1),
inference(clausification,[status(esa)],[meet_a2_and_b2]) ).
cnf(d0,plain,
join(X0,n0,X0),
inference(resolution,[status(thm)],[c7,c2]) ).
cnf(d1,plain,
meet(r1,a2,r1),
inference(resolution,[status(thm)],[c26,c9]) ).
cnf(d2,plain,
( meet(a2,X3,X1)
| ~ meet(X2,a2,X0)
| ~ join(r1,X2,X3)
| ~ join(r1,X0,X1) ),
inference(resolution,[status(thm)],[d1,c15]) ).
cnf(d3,plain,
meet(b,a,c),
inference(resolution,[status(thm)],[c6,c18]) ).
cnf(d4,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[c20,c6]) ).
cnf(d5,plain,
( ~ meet(r2,X2,X1)
| ~ meet(b,X0,X2)
| meet(e,X0,X1) ),
inference(resolution,[status(thm)],[c10,c21]) ).
cnf(d6,plain,
( meet(e,X0,n0)
| ~ meet(b,X0,c) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
meet(e,a,n0),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
meet(a,e,n0),
inference(resolution,[status(thm)],[d7,c6]) ).
cnf(d9,plain,
meet(X0,n0,n0),
inference(resolution,[status(thm)],[c6,c3]) ).
cnf(d10,plain,
( ~ meet(r2,X2,X1)
| ~ meet(a,X0,X2)
| meet(d,X0,X1) ),
inference(resolution,[status(thm)],[c25,c10]) ).
cnf(d11,plain,
( meet(d,X0,n0)
| ~ meet(a,X0,n0) ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
meet(d,e,n0),
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[c22,c9]) ).
cnf(d14,plain,
( meet(d,X0,d)
| ~ meet(a,X0,a) ),
inference(resolution,[status(thm)],[d10,c25]) ).
cnf(d15,plain,
meet(d,c2,d),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( ~ meet(d,X2,X1)
| ~ meet(c2,X0,X2)
| meet(d,X0,X1) ),
inference(resolution,[status(thm)],[d15,c10]) ).
cnf(d17,plain,
( meet(d,X0,n0)
| ~ meet(c2,X0,e) ),
inference(resolution,[status(thm)],[d16,d12]) ).
cnf(d18,plain,
join(e,r1,a2),
inference(resolution,[status(thm)],[c26,c7]) ).
cnf(d19,plain,
meet(r1,c2,n0),
inference(resolution,[status(thm)],[c24,c6]) ).
cnf(d20,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[c22,c7]) ).
cnf(d21,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[d20,c9]) ).
cnf(d22,plain,
( meet(e,X0,e)
| ~ meet(b,X0,b) ),
inference(resolution,[status(thm)],[d5,c21]) ).
cnf(d23,plain,
meet(e,c2,e),
inference(resolution,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
( meet(c2,X3,X1)
| ~ meet(X2,c2,X0)
| ~ join(e,X2,X3)
| ~ join(e,X0,X1) ),
inference(resolution,[status(thm)],[d23,c15]) ).
cnf(d25,plain,
( meet(c2,X0,X1)
| ~ join(e,n0,X1)
| ~ join(e,r1,X0) ),
inference(resolution,[status(thm)],[d24,d19]) ).
cnf(d26,plain,
( meet(c2,a2,X0)
| ~ join(e,n0,X0) ),
inference(resolution,[status(thm)],[d25,d18]) ).
cnf(d27,plain,
meet(c2,a2,e),
inference(resolution,[status(thm)],[d26,d0]) ).
cnf(d28,plain,
meet(d,a2,n0),
inference(resolution,[status(thm)],[d27,d17]) ).
cnf(d29,plain,
( meet(a2,X0,X1)
| ~ join(r1,n0,X1)
| ~ join(r1,d,X0) ),
inference(resolution,[status(thm)],[d28,d2]) ).
cnf(d30,plain,
( meet(a2,b2,X0)
| ~ join(r1,n0,X0) ),
inference(resolution,[status(thm)],[d29,c27]) ).
cnf(d31,plain,
meet(a2,b2,r1),
inference(resolution,[status(thm)],[d30,d0]) ).
cnf(d32,plain,
$false,
inference(resolution,[status(thm)],[c28,d31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.51 % Computer : n004.cluster.edu
% 0.09/5.51 % Model : x86_64 x86_64
% 0.09/5.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.51 % Memory : 8046.5625MB
% 0.09/5.51 % OS : Linux 6.8.0-71-generic
% 0.09/5.51 % CPULimit : 300
% 0.09/5.51 % WCLimit : 300
% 0.09/5.51 % DateTime : Fri Sep 25 19:54:30 UTC 2026
% 0.09/5.52 % CPUTime :
% 0.09/5.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.40/13.13 % SZS status Unsatisfiable for theBenchmark.p
% 55.40/13.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------