%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL054-1 : 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 : n007.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 06:56:46 AM UTC 2026
% Result : Unsatisfiable 9.79s 2.09s
% Output : CNFRefutation 9.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 12 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mocking_bird_exists,axiom,
response('mocking$ubird',X0) = response(X0,X0) ).
cnf(composer_exists,hypothesis,
response(compose(X0,X1),X2) = response(X0,response(X1,X2)) ).
cnf(prove_birds_are_compatible,negated_conjecture,
( response(b,X1) != X0
| response(a,X0) != X1 ) ).
cnf(c0,plain,
response('mocking$ubird',X0) = response(X0,X0),
inference(clausification,[status(esa)],[mocking_bird_exists]) ).
cnf(c1,plain,
response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(clausification,[status(esa)],[composer_exists]) ).
cnf(c2,plain,
( response(b,X1) != X0
| response(a,X0) != X1 ),
inference(clausification,[status(esa)],[prove_birds_are_compatible]) ).
cnf(d0,plain,
response(a,response(b,X0)) != X0,
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d1,plain,
response('mocking$ubird',compose(X0,X1)) = response(X0,response(X1,compose(X0,X1))),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d2,plain,
response('mocking$ubird',compose(compose(X0,X1),X2)) = response(X0,response(X1,response(X2,compose(compose(X0,X1),X2)))),
inference(superposition,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
response('mocking$ubird',compose(compose(a,b),X0)) != response(X0,compose(compose(a,b),X0)),
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.23 % Problem : COL054-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.24 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.76 % Computer : n007.cluster.edu
% 0.11/0.76 % Model : x86_64 x86_64
% 0.11/0.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.76 % Memory : 8046.5625MB
% 0.11/0.76 % OS : Linux 6.8.0-71-generic
% 0.11/0.76 % CPULimit : 300
% 0.11/0.76 % WCLimit : 300
% 0.11/0.76 % DateTime : Sat Sep 26 23:07:10 UTC 2026
% 0.11/0.76 % CPUTime :
% 0.11/0.76 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.79/2.09 % SZS status Unsatisfiable for theBenchmark.p
% 9.79/2.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------