%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN354-1 : 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 : n008.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 09:21:56 AM UTC 2026
% Result : Unsatisfiable 9.29s 1.56s
% Output : CNFRefutation 9.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 5 unt; 5 nHn; 15 RR)
% Number of literals : 41 ( 0 equ; 23 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
f(a,b) ).
cnf(clause3,negated_conjecture,
( f(b,X1)
| ~ f(X0,X1)
| g(X1,z(X0,X1))
| g(b,z(X0,X1)) ) ).
cnf(clause4,negated_conjecture,
( f(b,X1)
| ~ f(X0,X1)
| ~ g(X1,z(X0,X1))
| ~ g(b,z(X0,X1)) ) ).
cnf(clause7,negated_conjecture,
( ~ f(X0,X1)
| ~ f(b,X0)
| ~ f(a,X0) ) ).
cnf(c0,plain,
f(a,b),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c2,plain,
( f(b,X1)
| ~ f(X0,X1)
| g(X1,z(X0,X1))
| g(b,z(X0,X1)) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c3,plain,
( f(b,X1)
| ~ f(X0,X1)
| ~ g(X1,z(X0,X1))
| ~ g(b,z(X0,X1)) ),
inference(clausification,[status(esa)],[clause4]) ).
cnf(c6,plain,
( ~ f(X0,X1)
| ~ f(b,X0)
| ~ f(a,X0) ),
inference(clausification,[status(esa)],[clause7]) ).
cnf(d0,plain,
( g(b,z(X0,b))
| f(b,b)
| ~ f(X0,b) ),
inference(factoring,[status(thm)],[c2]) ).
cnf(d1,plain,
( ~ g(b,z(X0,b))
| f(b,b)
| ~ f(X0,b)
| f(b,b)
| ~ f(X0,b) ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( f(b,b)
| ~ f(X0,b)
| f(b,b)
| ~ f(X0,b) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
f(b,b),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( ~ f(a,b)
| ~ f(b,X0) ),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
~ f(b,X0),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN354-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 17:37:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.29/1.56 % SZS status Unsatisfiable for theBenchmark.p
% 9.29/1.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------