%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KRS013-1 : 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 : n002.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 07:45:01 AM UTC 2026
% Result : Unsatisfiable 10.35s 1.99s
% Output : CNFRefutation 10.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 48 ( 6 unt; 18 nHn; 40 RR)
% Number of literals : 124 ( 0 equ; 60 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
e(exist) ).
cnf(clause_2,negated_conjecture,
~ f(exist) ).
cnf(clause_3,axiom,
( ~ c(X0)
| t2least(X0) ) ).
cnf(clause_5,axiom,
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ t2least(X0) ) ).
cnf(clause_6,axiom,
( ~ t2least(X0)
| t(X0,u1r1(X0)) ) ).
cnf(clause_7,axiom,
( ~ t2least(X0)
| t(X0,u1r2(X0)) ) ).
cnf(clause_9,axiom,
( ~ d(X0)
| t1most(X0) ) ).
cnf(clause_11,axiom,
( ~ t(X2,X1)
| ~ t(X2,X0)
| ~ t1most(X2)
| equalish(X0,X1) ) ).
cnf(clause_15,axiom,
( ~ r(X1,X0)
| ~ e(X1)
| d(X0) ) ).
cnf(clause_16,axiom,
( ~ s2least(X0)
| ~ r(X1,X0)
| ~ e(X1)
| c(X0) ) ).
cnf(clause_26,axiom,
( ~ s(X0,X2)
| ~ s(X0,X1)
| equalish(X1,X2)
| s2least(X0) ) ).
cnf(clause_28,axiom,
( ~ s1most(u6r1(X0))
| f(X0) ) ).
cnf(clause_29,axiom,
( r(X0,u6r1(X0))
| f(X0) ) ).
cnf(clause_31,axiom,
( ~ equalish(u7r2(X0),u7r1(X0))
| s1most(X0) ) ).
cnf(clause_32,axiom,
( s(X0,u7r1(X0))
| s1most(X0) ) ).
cnf(clause_33,axiom,
( s(X0,u7r2(X0))
| s1most(X0) ) ).
cnf(c0,plain,
e(exist),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
~ f(exist),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( ~ c(X0)
| t2least(X0) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c4,plain,
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ t2least(X0) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( ~ t2least(X0)
| t(X0,u1r1(X0)) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( ~ t2least(X0)
| t(X0,u1r2(X0)) ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c8,plain,
( ~ d(X0)
| t1most(X0) ),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c10,plain,
( ~ t(X2,X1)
| ~ t(X2,X0)
| ~ t1most(X2)
| equalish(X0,X1) ),
inference(clausification,[status(esa)],[clause_11]) ).
cnf(c14,plain,
( ~ r(X1,X0)
| ~ e(X1)
| d(X0) ),
inference(clausification,[status(esa)],[clause_15]) ).
cnf(c15,plain,
( ~ s2least(X0)
| ~ r(X1,X0)
| ~ e(X1)
| c(X0) ),
inference(clausification,[status(esa)],[clause_16]) ).
cnf(c25,plain,
( ~ s(X0,X2)
| ~ s(X0,X1)
| equalish(X1,X2)
| s2least(X0) ),
inference(clausification,[status(esa)],[clause_26]) ).
cnf(c27,plain,
( ~ s1most(u6r1(X0))
| f(X0) ),
inference(clausification,[status(esa)],[clause_28]) ).
cnf(c28,plain,
( r(X0,u6r1(X0))
| f(X0) ),
inference(clausification,[status(esa)],[clause_29]) ).
cnf(c30,plain,
( ~ equalish(u7r2(X0),u7r1(X0))
| s1most(X0) ),
inference(clausification,[status(esa)],[clause_31]) ).
cnf(c31,plain,
( s(X0,u7r1(X0))
| s1most(X0) ),
inference(clausification,[status(esa)],[clause_32]) ).
cnf(c32,plain,
( s(X0,u7r2(X0))
| s1most(X0) ),
inference(clausification,[status(esa)],[clause_33]) ).
cnf(d0,plain,
( f(X0)
| d(u6r1(X0))
| ~ e(X0) ),
inference(resolution,[status(thm)],[c14,c28]) ).
cnf(d1,plain,
( t1most(u6r1(X0))
| f(X0)
| ~ e(X0) ),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
( ~ t2least(X1)
| ~ t1most(X1)
| ~ t(X1,X0)
| equalish(X0,u1r1(X1)) ),
inference(resolution,[status(thm)],[c10,c5]) ).
cnf(d3,plain,
( ~ t2least(X0)
| ~ t1most(X0)
| ~ t(X0,u1r2(X0))
| ~ t2least(X0) ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( ~ t2least(X0)
| ~ t1most(X0)
| ~ t2least(X0) ),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
( f(X0)
| ~ e(X0)
| ~ t2least(u6r1(X0)) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( f(X0)
| ~ s2least(u6r1(X0))
| c(u6r1(X0))
| ~ e(X0) ),
inference(resolution,[status(thm)],[c15,c28]) ).
cnf(d7,plain,
( s1most(X0)
| ~ s(X0,X1)
| s2least(X0)
| equalish(u7r2(X0),X1) ),
inference(resolution,[status(thm)],[c25,c32]) ).
cnf(d8,plain,
( s1most(X0)
| s1most(X0)
| ~ s(X0,u7r1(X0))
| s2least(X0) ),
inference(resolution,[status(thm)],[d7,c30]) ).
cnf(d9,plain,
( s1most(X0)
| s1most(X0)
| s2least(X0) ),
inference(resolution,[status(thm)],[d8,c31]) ).
cnf(d10,plain,
( f(X0)
| s2least(u6r1(X0)) ),
inference(resolution,[status(thm)],[d9,c27]) ).
cnf(d11,plain,
( c(u6r1(X0))
| f(X0)
| ~ e(X0)
| f(X0) ),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
( t2least(u6r1(X0))
| f(X0)
| ~ e(X0) ),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
( f(X0)
| ~ e(X0)
| f(X0)
| ~ e(X0) ),
inference(resolution,[status(thm)],[d12,d5]) ).
cnf(d14,plain,
f(exist),
inference(resolution,[status(thm)],[d13,c0]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c1,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS013-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n002.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Fri Sep 25 19:35:51 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.35/1.99 % SZS status Unsatisfiable for theBenchmark.p
% 10.35/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------