%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO038-3 : 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 : n008.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 07:13:58 AM UTC 2026
% Result : Unsatisfiable 4.64s 12.91s
% Output : CNFRefutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 8 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(y_is_extension,hypothesis,
y = extension(u,v,w,x) ).
cnf(prove_corollary,negated_conjecture,
~ between(u,v,y) ).
cnf(segment_construction1,axiom,
between(X0,X1,extension(X0,X1,X2,X3)) ).
cnf(c10,plain,
y = extension(u,v,w,x),
inference(clausification,[status(esa)],[y_is_extension]) ).
cnf(c11,plain,
~ between(u,v,y),
inference(clausification,[status(esa)],[prove_corollary]) ).
cnf(c15,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
inference(clausification,[status(esa)],[segment_construction1]) ).
cnf(d_0,plain,
between(u,v,y),
inference(superposition,[status(thm)],[c10,c15]) ).
cnf(d_1,plain,
$false,
inference(resolution,[status(thm)],[c11,d_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO038-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.45 % Computer : n008.cluster.edu
% 0.15/10.45 % Model : x86_64 x86_64
% 0.15/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.45 % Memory : 8046.5625MB
% 0.15/10.45 % OS : Linux 6.8.0-71-generic
% 0.15/10.45 % CPULimit : 300
% 0.15/10.45 % WCLimit : 300
% 0.15/10.45 % DateTime : Fri Sep 25 12:36:06 UTC 2026
% 0.15/10.45 % CPUTime :
% 0.15/10.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.64/12.91 % SZS status Unsatisfiable for theBenchmark.p
% 4.64/12.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------