%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL058-3 : 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 : n016.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 06:56:47 AM UTC 2026
% Result : Unsatisfiable 12.76s 2.07s
% Output : CNFRefutation 12.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 19 equ; 7 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lark_exists,axiom,
response(response(lark,X0),X1) = response(X0,response(X1,X1)) ).
cnf(prove_the_bird_exists,negated_conjecture,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) ).
cnf(c0,plain,
response(response(lark,X0),X1) = response(X0,response(X1,X1)),
inference(clausification,[status(esa)],[lark_exists]) ).
cnf(c1,plain,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(clausification,[status(esa)],[prove_the_bird_exists]) ).
cnf(d0,plain,
response(response(response(lark,lark),X0),X1) = response(response(X0,X0),response(X1,X1)),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d1,plain,
response(response(lark,response(X0,X0)),X1) = response(response(response(lark,lark),X0),X1),
inference(superposition,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
response(response(lark,X1),response(X0,X0)) = response(X1,response(response(lark,response(X0,X0)),X0)),
inference(superposition,[status(thm)],[c0,c0]) ).
cnf(d3,plain,
response(response(lark,X1),response(X0,X0)) = response(X1,response(response(X0,X0),response(X0,X0))),
inference(superposition,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
response(response(lark,X0),response(X1,X1)) = response(response(lark,X0),response(X1,X1)),
inference(demodulation,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
response(response(lark,X0),response(X1,X1)) = response(response(lark,response(lark,X0)),X1),
inference(superposition,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
response(response(lark,X1),response(X0,X0)) = response(X1,response(response(response(lark,lark),X0),X0)),
inference(superposition,[status(thm)],[d0,c0]) ).
cnf(d7,plain,
response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(demodulation,[status(thm)],[c1,d6]) ).
cnf(d8,plain,
response(response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(demodulation,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(demodulation,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(demodulation,[status(thm)],[d9,d5]) ).
cnf(d11,plain,
response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
inference(demodulation,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
response(response(lark,X1),response(lark,response(X0,X0))) = response(X1,response(response(response(lark,lark),X0),response(lark,response(X0,X0)))),
inference(superposition,[status(thm)],[d1,c0]) ).
cnf(d13,plain,
response(response(lark,response(response(response(lark,lark),X0),response(lark,response(X0,X0)))),X1) = response(response(response(lark,lark),response(lark,response(X0,X0))),X1),
inference(superposition,[status(thm)],[d1,d1]) ).
cnf(d14,plain,
response(response(response(lark,lark),response(lark,response(X0,X0))),X1) = response(response(response(lark,lark),response(lark,response(X0,X0))),X1),
inference(demodulation,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[d14,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL058-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 23:14:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.76/2.07 % SZS status Unsatisfiable for theBenchmark.p
% 12.76/2.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------