%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 06:56:46 AM UTC 2026
% Result : Unsatisfiable 14.46s 4.54s
% Output : CNFRefutation 14.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 6 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(composer_exists,axiom,
response(compose(X0,X1),X2) = response(X0,response(X1,X2)) ).
cnf(prove_bird_exists,negated_conjecture,
response(X0,f(X0)) != response(a,response(b,response(c,f(X0)))) ).
cnf(c0,plain,
response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(clausification,[status(esa)],[composer_exists]) ).
cnf(c1,plain,
response(X0,f(X0)) != response(a,response(b,response(c,f(X0)))),
inference(clausification,[status(esa)],[prove_bird_exists]) ).
cnf(d0,plain,
response(X0,response(X1,f(compose(X0,X1)))) != response(a,response(b,response(c,f(compose(X0,X1))))),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
response(X0,response(X1,response(X2,f(compose(compose(X0,X1),X2))))) != response(a,response(b,response(c,f(compose(compose(X0,X1),X2))))),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
$false,
inference(equality_resolution,[status(thm)],[d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n026.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 23:11:57 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.46/4.54 % SZS status Unsatisfiable for theBenchmark.p
% 14.46/4.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------