%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:21:46 AM UTC 2026
% Result : Unsatisfiable 18.36s 2.92s
% Output : CNFRefutation 18.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 16 unt; 0 nHn; 30 RR)
% Number of literals : 46 ( 0 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ p(X3,X1,X2)
| ~ p(X0,X3,X2)
| p(X0,X1,X2) ) ).
cnf(clause2,negated_conjecture,
( ~ p(X2,X1,X0)
| p(X0,X1,X2) ) ).
cnf(clause3,negated_conjecture,
( ~ p(X1,X0,X2)
| p(X0,X1,X2) ) ).
cnf(clause4,negated_conjecture,
( ~ p(X0,X1,X2)
| p(X0,X1,f(X2)) ) ).
cnf(clause5,negated_conjecture,
( ~ p(X0,X1,X2)
| p(g(X0),X1,X2) ) ).
cnf(clause6,negated_conjecture,
p(a,f(b),c) ).
cnf(clause7,negated_conjecture,
p(f(b),d,c) ).
cnf(clause8,negated_conjecture,
~ p(f(g(a)),f(g(d)),f(g(c))) ).
cnf(c0,plain,
( ~ p(X3,X1,X2)
| ~ p(X0,X3,X2)
| p(X0,X1,X2) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( ~ p(X2,X1,X0)
| p(X0,X1,X2) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( ~ p(X1,X0,X2)
| p(X0,X1,X2) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c3,plain,
( ~ p(X0,X1,X2)
| p(X0,X1,f(X2)) ),
inference(clausification,[status(esa)],[clause4]) ).
cnf(c4,plain,
( ~ p(X0,X1,X2)
| p(g(X0),X1,X2) ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c5,plain,
p(a,f(b),c),
inference(clausification,[status(esa)],[clause6]) ).
cnf(c6,plain,
p(f(b),d,c),
inference(clausification,[status(esa)],[clause7]) ).
cnf(c7,plain,
~ p(f(g(a)),f(g(d)),f(g(c))),
inference(clausification,[status(esa)],[clause8]) ).
cnf(d0,plain,
( p(X2,X1,g(X0))
| ~ p(X0,X1,X2) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d1,plain,
( p(f(X2),X1,X0)
| ~ p(X0,X1,X2) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d2,plain,
( p(X1,X0,f(X2))
| ~ p(X0,X1,X2) ),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(d3,plain,
~ p(f(g(a)),f(g(d)),g(c)),
inference(resolution,[status(thm)],[c7,c3]) ).
cnf(d4,plain,
~ p(c,f(g(d)),f(g(a))),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
~ p(f(g(d)),c,g(a)),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
~ p(g(a),c,g(d)),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
~ p(a,c,g(d)),
inference(resolution,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
~ p(d,c,a),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ p(X0,f(b),c)
| p(X0,d,c) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d10,plain,
p(a,d,c),
inference(resolution,[status(thm)],[d9,c5]) ).
cnf(d11,plain,
p(c,d,a),
inference(resolution,[status(thm)],[d10,c1]) ).
cnf(d12,plain,
p(d,c,a),
inference(resolution,[status(thm)],[d11,c2]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:37:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.36/2.92 % SZS status Unsatisfiable for theBenchmark.p
% 18.36/2.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------