%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN035-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 09:20:43 AM UTC 2026
% Result : Unsatisfiable 7.88s 21.50s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 26 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 22 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,axiom,
p(X0,X1) ).
cnf(clause2,axiom,
( q(X0,X1)
| ~ p(X1,f(X0,X1))
| ~ p(f(X0,X1),f(X0,X1)) ) ).
cnf(theorem,negated_conjecture,
( ~ p(X1,f(X0,X1))
| ~ p(f(X0,X1),f(X0,X1))
| ~ q(X0,f(X0,X1))
| ~ q(f(X0,X1),f(X0,X1)) ) ).
cnf(c0,plain,
p(X0,X1),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( q(X0,X1)
| ~ p(X1,f(X0,X1))
| ~ p(f(X0,X1),f(X0,X1)) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( ~ p(X1,f(X0,X1))
| ~ p(f(X0,X1),f(X0,X1))
| ~ q(X0,f(X0,X1))
| ~ q(f(X0,X1),f(X0,X1)) ),
inference(clausification,[status(esa)],[theorem]) ).
cnf(d0,plain,
( q(X0,X1)
| ~ p(f(X0,X1),f(X0,X1)) ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
q(X0,X1),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ q(f(X0,X1),f(X0,X1))
| ~ q(X0,f(X0,X1))
| ~ p(f(X0,X1),f(X0,X1)) ),
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(d3,plain,
( ~ q(f(X0,X1),f(X0,X1))
| ~ p(f(X0,X1),f(X0,X1)) ),
inference(resolution,[status(thm)],[d1,d2]) ).
cnf(d4,plain,
~ p(f(X0,X1),f(X0,X1)),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c0,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN035-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/20.39 % Computer : n006.cluster.edu
% 0.10/20.39 % Model : x86_64 x86_64
% 0.10/20.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/20.39 % Memory : 8046.5625MB
% 0.10/20.39 % OS : Linux 6.8.0-71-generic
% 0.10/20.39 % CPULimit : 300
% 0.10/20.39 % WCLimit : 300
% 0.10/20.39 % DateTime : Sat Sep 26 17:05:00 UTC 2026
% 0.10/20.39 % CPUTime :
% 0.10/20.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.88/21.50 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/21.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------