%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 09:21:50 AM UTC 2026
% Result : Unsatisfiable 8.58s 1.62s
% Output : CNFRefutation 8.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 42 ( 4 unt; 23 nHn; 29 RR)
% Number of literals : 109 ( 0 equ; 42 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 41 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ f(X0)
| g(y(X0))
| ~ f(y(X0)) ) ).
cnf(clause2,negated_conjecture,
( f(X0)
| f(y(X0)) ) ).
cnf(clause3,negated_conjecture,
( f(X0)
| ~ g(y(X0)) ) ).
cnf(clause4,negated_conjecture,
( ~ g(X0)
| h(y(X0))
| ~ f(y(X0)) ) ).
cnf(clause5,negated_conjecture,
( g(X0)
| f(y(X0)) ) ).
cnf(clause6,negated_conjecture,
( g(X0)
| ~ h(y(X0)) ) ).
cnf(clause8,negated_conjecture,
( ~ h(X0)
| h(y(X0))
| ~ g(y(X0)) ) ).
cnf(clause9,negated_conjecture,
( h(X0)
| g(y(X0))
| ~ f(y(X0)) ) ).
cnf(clause10,negated_conjecture,
( h(X0)
| ~ h(y(X0)) ) ).
cnf(clause11,negated_conjecture,
( ~ h(z(X0))
| ~ g(z(X0))
| ~ f(z(X0)) ) ).
cnf(c0,plain,
( ~ f(X0)
| g(y(X0))
| ~ f(y(X0)) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( f(X0)
| f(y(X0)) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( f(X0)
| ~ g(y(X0)) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c3,plain,
( ~ g(X0)
| h(y(X0))
| ~ f(y(X0)) ),
inference(clausification,[status(esa)],[clause4]) ).
cnf(c4,plain,
( g(X0)
| f(y(X0)) ),
inference(clausification,[status(esa)],[clause5]) ).
cnf(c5,plain,
( g(X0)
| ~ h(y(X0)) ),
inference(clausification,[status(esa)],[clause6]) ).
cnf(c7,plain,
( ~ h(X0)
| h(y(X0))
| ~ g(y(X0)) ),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c8,plain,
( h(X0)
| g(y(X0))
| ~ f(y(X0)) ),
inference(clausification,[status(esa)],[clause9]) ).
cnf(c9,plain,
( h(X0)
| ~ h(y(X0)) ),
inference(clausification,[status(esa)],[clause10]) ).
cnf(c10,plain,
( ~ h(z(X0))
| ~ g(z(X0))
| ~ f(z(X0)) ),
inference(clausification,[status(esa)],[clause11]) ).
cnf(d0,plain,
( f(X0)
| h(y(X0))
| ~ g(X0) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
( h(X0)
| ~ g(X0)
| f(X0) ),
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
( g(X0)
| h(X0)
| g(y(X0)) ),
inference(resolution,[status(thm)],[c8,c4]) ).
cnf(d3,plain,
( f(X0)
| h(X0)
| g(X0) ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
( h(X0)
| f(X0)
| h(X0)
| f(X0) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( h(X0)
| f(y(X0)) ),
inference(resolution,[status(thm)],[d4,c9]) ).
cnf(d6,plain,
( h(X0)
| g(y(X0))
| h(X0) ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
( h(y(X0))
| ~ g(X0)
| h(X0) ),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d8,plain,
( h(X0)
| h(X0)
| ~ g(X0) ),
inference(resolution,[status(thm)],[d7,c9]) ).
cnf(d9,plain,
( h(X0)
| h(y(X0)) ),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( h(X0)
| h(X0) ),
inference(resolution,[status(thm)],[d9,c9]) ).
cnf(d11,plain,
( ~ g(z(X0))
| ~ f(z(X0)) ),
inference(resolution,[status(thm)],[d10,c10]) ).
cnf(d12,plain,
g(X0),
inference(resolution,[status(thm)],[d10,c5]) ).
cnf(d13,plain,
~ f(z(X0)),
inference(resolution,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
( g(X0)
| g(y(X0))
| ~ f(X0) ),
inference(resolution,[status(thm)],[c0,c4]) ).
cnf(d15,plain,
( g(X0)
| ~ f(X0)
| h(y(X0))
| ~ h(X0) ),
inference(resolution,[status(thm)],[c7,d14]) ).
cnf(d16,plain,
( g(X0)
| ~ h(X0)
| g(X0)
| ~ f(X0) ),
inference(resolution,[status(thm)],[d15,c5]) ).
cnf(d17,plain,
( ~ g(X0)
| f(X0)
| g(y(X0))
| ~ f(y(X0)) ),
inference(resolution,[status(thm)],[d16,d0]) ).
cnf(d18,plain,
( f(X0)
| g(y(X0))
| ~ g(X0)
| f(X0) ),
inference(resolution,[status(thm)],[d17,c1]) ).
cnf(d19,plain,
( f(X0)
| ~ g(X0)
| f(X0) ),
inference(resolution,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
f(X0),
inference(resolution,[status(thm)],[d12,d19]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[d20,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:37:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.58/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 8.58/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------