%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 06:56:56 AM UTC 2026
% Result : Unsatisfiable 15.40s 2.47s
% Output : CNFRefutation 15.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 8 unt; 0 nHn; 21 RR)
% Number of literals : 48 ( 0 equ; 35 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(r_into_trancl,axiom,
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ) ).
cnf(diamond_strip_lemmaD1,axiom,
( member(pair(X3,'diamond$ustrip$ulemmaD$usk1'(X1,X2,X3,X0)),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ) ).
cnf(diamond_strip_lemmaD2,axiom,
( member(pair(X2,'diamond$ustrip$ulemmaD$usk1'(X1,X2,X3,X0)),X0)
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ) ).
cnf(diamond_trancl_1h1,hypothesis,
diamond(r) ).
cnf(diamond_trancl_1h2,hypothesis,
member(pair(y,ya),r) ).
cnf(diamond_trancl_1c1,negated_conjecture,
member(pair(y,yp),trancl(r)) ).
cnf(diamond_trancl_1c2,negated_conjecture,
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(ya,X0),trancl(r)) ) ).
cnf(c6,plain,
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(clausification,[status(esa)],[r_into_trancl]) ).
cnf(c9,plain,
( member(pair(X3,'diamond$ustrip$ulemmaD$usk1'(X1,X2,X3,X0)),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ),
inference(clausification,[status(esa)],[diamond_strip_lemmaD1]) ).
cnf(c10,plain,
( member(pair(X2,'diamond$ustrip$ulemmaD$usk1'(X1,X2,X3,X0)),X0)
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ),
inference(clausification,[status(esa)],[diamond_strip_lemmaD2]) ).
cnf(c11,plain,
diamond(r),
inference(clausification,[status(esa)],[diamond_trancl_1h1]) ).
cnf(c12,plain,
member(pair(y,ya),r),
inference(clausification,[status(esa)],[diamond_trancl_1h2]) ).
cnf(c13,plain,
member(pair(y,yp),trancl(r)),
inference(clausification,[status(esa)],[diamond_trancl_1c1]) ).
cnf(c14,plain,
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(ya,X0),trancl(r)) ),
inference(clausification,[status(esa)],[diamond_trancl_1c2]) ).
cnf(d0,plain,
( ~ member(pair(yp,X0),r)
| ~ member(pair(ya,X0),trancl(r)) ),
inference(resolution,[status(thm)],[c14,c6]) ).
cnf(d1,plain,
( ~ member(pair(yp,'diamond$ustrip$ulemmaD$usk1'(X0,X1,ya,r)),r)
| ~ diamond(r)
| ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(X0,ya),r) ),
inference(resolution,[status(thm)],[c9,d0]) ).
cnf(d2,plain,
( ~ member(pair(yp,'diamond$ustrip$ulemmaD$usk1'(X0,X1,ya,r)),r)
| ~ member(pair(X0,ya),r)
| ~ member(pair(X0,X1),trancl(r)) ),
inference(resolution,[status(thm)],[c11,d1]) ).
cnf(d3,plain,
( ~ diamond(r)
| ~ member(pair(X0,yp),trancl(r))
| ~ member(pair(X0,ya),r)
| ~ member(pair(X0,ya),r)
| ~ member(pair(X0,yp),trancl(r)) ),
inference(resolution,[status(thm)],[d2,c10]) ).
cnf(d4,plain,
( ~ member(pair(X0,yp),trancl(r))
| ~ member(pair(X0,ya),r) ),
inference(resolution,[status(thm)],[c11,d3]) ).
cnf(d5,plain,
~ member(pair(y,ya),r),
inference(resolution,[status(thm)],[d4,c13]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c12,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n011.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 23:14:44 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.40/2.47 % SZS status Unsatisfiable for theBenchmark.p
% 15.40/2.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------