%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN033-1 : 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 : n014.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 09:20:42 AM UTC 2026
% Result : Unsatisfiable 8.01s 1.49s
% Output : CNFRefutation 8.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 7 RR)
% Number of literals : 21 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,axiom,
p(g(X0,X1),X0,X1) ).
cnf(clause2,axiom,
p(X0,h(X0,X1),X1) ).
cnf(clause3,axiom,
( p(X5,X4,X2)
| ~ p(X0,X3,X5)
| ~ p(X3,X4,X1)
| ~ p(X0,X1,X2) ) ).
cnf(prove_something,negated_conjecture,
~ p(k(X0),X0,k(X0)) ).
cnf(c0,plain,
p(g(X0,X1),X0,X1),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
p(X0,h(X0,X1),X1),
inference(clausification,[status(esa)],[clause2]) ).
cnf(c2,plain,
( p(X5,X4,X2)
| ~ p(X0,X3,X5)
| ~ p(X3,X4,X1)
| ~ p(X0,X1,X2) ),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c3,plain,
~ p(k(X0),X0,k(X0)),
inference(clausification,[status(esa)],[prove_something]) ).
cnf(d0,plain,
( ~ p(X4,X1,X0)
| ~ p(X4,X2,X3)
| p(X0,h(X1,X2),X3) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
( p(X1,h(X0,X2),X3)
| ~ p(g(X0,X1),X2,X3) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
p(X0,h(X1,X1),X0),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 17:05:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.01/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 8.01/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------