%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 08:04:09 AM UTC 2026
% Result : Unsatisfiable 9.08s 1.96s
% Output : CNFRefutation 9.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 7
% Syntax : Number of clauses : 46 ( 36 unt; 0 nHn; 46 RR)
% Number of literals : 56 ( 0 equ; 12 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(init,axiom,
p(s0,s0,s0,s0,s0) ).
cnf(rule1,axiom,
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ) ).
cnf(rule2,axiom,
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ) ).
cnf(rule3,axiom,
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ) ).
cnf(rule4,axiom,
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ) ).
cnf(rule5,axiom,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ) ).
cnf(goal,negated_conjecture,
~ p(s1,s1,s1,s1,s1) ).
cnf(c0,plain,
p(s0,s0,s0,s0,s0),
inference(clausification,[status(esa)],[init]) ).
cnf(c1,plain,
( p(X0,X1,X2,X3,s1)
| ~ p(X0,X1,X2,X3,s0) ),
inference(clausification,[status(esa)],[rule1]) ).
cnf(c2,plain,
( p(X0,X1,X2,s1,s0)
| ~ p(X0,X1,X2,s0,s1) ),
inference(clausification,[status(esa)],[rule2]) ).
cnf(c3,plain,
( p(X0,X1,s1,s0,s0)
| ~ p(X0,X1,s0,s1,s1) ),
inference(clausification,[status(esa)],[rule3]) ).
cnf(c4,plain,
( p(X0,s1,s0,s0,s0)
| ~ p(X0,s0,s1,s1,s1) ),
inference(clausification,[status(esa)],[rule4]) ).
cnf(c5,plain,
( p(s1,s0,s0,s0,s0)
| ~ p(s0,s1,s1,s1,s1) ),
inference(clausification,[status(esa)],[rule5]) ).
cnf(c6,plain,
~ p(s1,s1,s1,s1,s1),
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
p(s0,s0,s0,s0,s1),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
p(s0,s0,s0,s1,s0),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
p(s0,s0,s0,s1,s1),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
p(s0,s0,s1,s0,s0),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
p(s0,s0,s1,s0,s1),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
p(s0,s0,s1,s1,s0),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
p(s0,s0,s1,s1,s1),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
p(s0,s1,s0,s0,s0),
inference(resolution,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
p(s0,s1,s0,s0,s1),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
p(s0,s1,s0,s1,s0),
inference(resolution,[status(thm)],[d8,c2]) ).
cnf(d10,plain,
p(s0,s1,s0,s1,s1),
inference(resolution,[status(thm)],[d9,c1]) ).
cnf(d11,plain,
p(s0,s1,s1,s0,s0),
inference(resolution,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
p(s0,s1,s1,s0,s1),
inference(resolution,[status(thm)],[d11,c1]) ).
cnf(d13,plain,
p(s0,s1,s1,s1,s0),
inference(resolution,[status(thm)],[d12,c2]) ).
cnf(d14,plain,
p(s0,s1,s1,s1,s1),
inference(resolution,[status(thm)],[d13,c1]) ).
cnf(d15,plain,
p(s1,s0,s0,s0,s0),
inference(resolution,[status(thm)],[d14,c5]) ).
cnf(d16,plain,
p(s1,s0,s0,s0,s1),
inference(resolution,[status(thm)],[d15,c1]) ).
cnf(d17,plain,
p(s1,s0,s0,s1,s0),
inference(resolution,[status(thm)],[d16,c2]) ).
cnf(d18,plain,
p(s1,s0,s0,s1,s1),
inference(resolution,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
p(s1,s0,s1,s0,s0),
inference(resolution,[status(thm)],[d18,c3]) ).
cnf(d20,plain,
p(s1,s0,s1,s0,s1),
inference(resolution,[status(thm)],[d19,c1]) ).
cnf(d21,plain,
p(s1,s0,s1,s1,s0),
inference(resolution,[status(thm)],[d20,c2]) ).
cnf(d22,plain,
p(s1,s0,s1,s1,s1),
inference(resolution,[status(thm)],[d21,c1]) ).
cnf(d23,plain,
p(s1,s1,s0,s0,s0),
inference(resolution,[status(thm)],[d22,c4]) ).
cnf(d24,plain,
p(s1,s1,s0,s0,s1),
inference(resolution,[status(thm)],[d23,c1]) ).
cnf(d25,plain,
p(s1,s1,s0,s1,s0),
inference(resolution,[status(thm)],[d24,c2]) ).
cnf(d26,plain,
p(s1,s1,s0,s1,s1),
inference(resolution,[status(thm)],[d25,c1]) ).
cnf(d27,plain,
p(s1,s1,s1,s0,s0),
inference(resolution,[status(thm)],[d26,c3]) ).
cnf(d28,plain,
p(s1,s1,s1,s0,s1),
inference(resolution,[status(thm)],[d27,c1]) ).
cnf(d29,plain,
p(s1,s1,s1,s1,s0),
inference(resolution,[status(thm)],[d28,c2]) ).
cnf(d30,plain,
p(s1,s1,s1,s1,s1),
inference(resolution,[status(thm)],[d29,c1]) ).
cnf(d31,plain,
$false,
inference(resolution,[status(thm)],[c6,d30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:17:38 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.08/1.96 % SZS status Unsatisfiable for theBenchmark.p
% 9.08/1.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------