%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL058-1 : 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 : n002.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 16.93s 2.67s
% Output : CNFRefutation 16.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 10 equ; 6 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 14 ( 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(X0,X0) != X0 ).
cnf(c0,plain,
response(response(lark,X0),X1) = response(X0,response(X1,X1)),
inference(clausification,[status(esa)],[lark_exists]) ).
cnf(c1,plain,
response(X0,X0) != X0,
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,response(X0,X0)),X0) != response(X0,X0),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d3,plain,
response(response(response(lark,lark),X0),X0) != response(X0,X0),
inference(superposition,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
response(response(response(response(lark,lark),lark),X0),response(X0,X0)) != response(response(X0,X0),response(X0,X0)),
inference(superposition,[status(thm)],[d0,d3]) ).
cnf(d5,plain,
response(response(response(lark,response(lark,lark)),X0),response(X0,X0)) != response(response(X0,X0),response(X0,X0)),
inference(demodulation,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n002.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 23:12:20 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.93/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 16.93/2.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------