%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL052-1 : 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 : n009.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 9.94s 1.67s
% Output : CNFRefutation 9.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 7 RR)
% Number of literals : 13 ( 12 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(composer_exists,axiom,
response(compose(X0,X1),X2) = response(X0,response(X1,X2)) ).
cnf(agreeable1,hypothesis,
response(c,'common$ubird'(X0)) = response(X0,'common$ubird'(X0)) ).
cnf(prove_a_is_agreeable,negated_conjecture,
response(a,X0) != response('odd$ubird',X0) ).
cnf(c_composes_a_with_b,hypothesis,
c = compose(a,b) ).
cnf(c0,plain,
response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(clausification,[status(esa)],[composer_exists]) ).
cnf(c1,plain,
response(c,'common$ubird'(X0)) = response(X0,'common$ubird'(X0)),
inference(clausification,[status(esa)],[agreeable1]) ).
cnf(c2,plain,
response(a,X0) != response('odd$ubird',X0),
inference(clausification,[status(esa)],[prove_a_is_agreeable]) ).
cnf(c3,plain,
c = compose(a,b),
inference(clausification,[status(esa)],[c_composes_a_with_b]) ).
cnf(d0,plain,
response(c,'common$ubird'(compose(X0,X1))) = response(X0,response(X1,'common$ubird'(compose(X0,X1)))),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
response(a,response(X0,'common$ubird'(compose('odd$ubird',X0)))) != response(c,'common$ubird'(compose('odd$ubird',X0))),
inference(superposition,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
response(c,X0) = response(a,response(b,X0)),
inference(superposition,[status(thm)],[c3,c0]) ).
cnf(d3,plain,
response(c,'common$ubird'(compose('odd$ubird',b))) != response(c,'common$ubird'(compose('odd$ubird',b))),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n009.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 23:09:15 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.94/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 9.94/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------