%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS002-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 07:45:00 AM UTC 2026
% Result : Unsatisfiable 10.34s 2.97s
% Output : CNFRefutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 3 unt; 0 nHn; 30 RR)
% Number of literals : 72 ( 0 equ; 48 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
e(exist) ).
cnf(clause_2,axiom,
( ~ c(X0)
| s2least(X0) ) ).
cnf(clause_4,axiom,
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ) ).
cnf(clause_5,axiom,
( ~ s2least(X0)
| s(X0,u1r1(X0)) ) ).
cnf(clause_6,axiom,
( ~ s2least(X0)
| s(X0,u1r2(X0)) ) ).
cnf(clause_8,axiom,
( ~ d(X0)
| s1most(X0) ) ).
cnf(clause_10,axiom,
( ~ s(X2,X1)
| ~ s(X2,X0)
| ~ s1most(X2)
| equalish(X0,X1) ) ).
cnf(clause_14,axiom,
( ~ e(X0)
| r(X0,u4r2(X0)) ) ).
cnf(clause_15,axiom,
( ~ r(X1,X0)
| ~ e(X1)
| d(X0) ) ).
cnf(clause_16,axiom,
( ~ r(X1,X0)
| ~ e(X1)
| c(X0) ) ).
cnf(c0,plain,
e(exist),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( ~ c(X0)
| s2least(X0) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c3,plain,
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ s2least(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( ~ s2least(X0)
| s(X0,u1r1(X0)) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( ~ s2least(X0)
| s(X0,u1r2(X0)) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c7,plain,
( ~ d(X0)
| s1most(X0) ),
inference(clausification,[status(esa)],[clause_8]) ).
cnf(c9,plain,
( ~ s(X2,X1)
| ~ s(X2,X0)
| ~ s1most(X2)
| equalish(X0,X1) ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(c13,plain,
( ~ e(X0)
| r(X0,u4r2(X0)) ),
inference(clausification,[status(esa)],[clause_14]) ).
cnf(c14,plain,
( ~ r(X1,X0)
| ~ e(X1)
| d(X0) ),
inference(clausification,[status(esa)],[clause_15]) ).
cnf(c15,plain,
( ~ r(X1,X0)
| ~ e(X1)
| c(X0) ),
inference(clausification,[status(esa)],[clause_16]) ).
cnf(d0,plain,
( ~ e(X0)
| c(u4r2(X0))
| ~ e(X0) ),
inference(resolution,[status(thm)],[c15,c13]) ).
cnf(d1,plain,
( s2least(u4r2(X0))
| ~ e(X0) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( ~ e(X0)
| d(u4r2(X0))
| ~ e(X0) ),
inference(resolution,[status(thm)],[c14,c13]) ).
cnf(d3,plain,
( s1most(u4r2(X0))
| ~ e(X0) ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
( ~ s2least(X0)
| ~ s1most(X0)
| ~ s(X0,X1)
| equalish(u1r2(X0),X1) ),
inference(resolution,[status(thm)],[c9,c5]) ).
cnf(d5,plain,
( ~ s2least(X0)
| ~ s1most(X0)
| ~ s(X0,u1r1(X0))
| ~ s2least(X0) ),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
( ~ s2least(X0)
| ~ s1most(X0)
| ~ s2least(X0) ),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
( ~ e(X0)
| ~ s2least(u4r2(X0)) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( ~ e(X0)
| ~ e(X0) ),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS002-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 19:31:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.34/2.97 % SZS status Unsatisfiable for theBenchmark.p
% 10.34/2.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------