%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL056-1 : 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 : n018.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 9.65s 2.60s
% Output : CNFRefutation 9.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 9 RR)
% Number of literals : 11 ( 10 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 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 : 14 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(composer_exists,axiom,
response(compose(X0,X1),X2) = response(X0,response(X1,X2)) ).
cnf(a_to_b_responds_c,hypothesis,
response(a,b) = c ).
cnf(a_to_c_responds_b,hypothesis,
response(a,c) = b ).
cnf(prove_there_exists_a_happy_bird,negated_conjecture,
response(X0,X1) != X1 ).
cnf(c0,plain,
response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(clausification,[status(esa)],[composer_exists]) ).
cnf(c1,plain,
response(a,b) = c,
inference(clausification,[status(esa)],[a_to_b_responds_c]) ).
cnf(c2,plain,
response(a,c) = b,
inference(clausification,[status(esa)],[a_to_c_responds_b]) ).
cnf(c3,plain,
response(X0,X1) != X1,
inference(clausification,[status(esa)],[prove_there_exists_a_happy_bird]) ).
cnf(d0,plain,
response(X0,response(X1,X2)) != X2,
inference(superposition,[status(thm)],[c0,c3]) ).
cnf(d1,plain,
response(X0,c) != b,
inference(superposition,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 23:11:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.65/2.60 % SZS status Unsatisfiable for theBenchmark.p
% 9.65/2.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------