%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 09:21:48 AM UTC 2026
% Result : Unsatisfiable 9.16s 1.96s
% Output : CNFRefutation 9.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 3 unt; 3 nHn; 7 RR)
% Number of literals : 21 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( g(a,X1)
| ~ f(a,X0) ) ).
cnf(clause2,negated_conjecture,
( f(X0,b)
| ~ g(X0,X0) ) ).
cnf(clause3,negated_conjecture,
( g(a,X0)
| f(a,b) ) ).
cnf(clause4,negated_conjecture,
( ~ g(a,d)
| ~ f(a,b) ) ).
cnf(c0,plain,
( g(a,X1)
| ~ f(a,X0) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( f(X0,b)
| ~ g(X0,X0) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( g(a,X0)
| f(a,b) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c3,plain,
( ~ g(a,d)
| ~ f(a,b) ),
inference(clausification,[status(esa)],[clause4]) ).
cnf(d0,plain,
( f(a,b)
| f(a,b) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
~ g(a,d),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
g(a,X0),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN321-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.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 17:33:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.16/1.96 % SZS status Unsatisfiable for theBenchmark.p
% 9.16/1.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------