%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO066-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 07:14:04 AM UTC 2026
% Result : Unsatisfiable 15.32s 3.47s
% Output : CNFRefutation 15.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ) ).
cnf(u_between_v_and_w,hypothesis,
between(v,u,w) ).
cnf(prove_uvw_colinear,negated_conjecture,
~ colinear(u,v,w) ).
cnf(colinearity3,axiom,
( colinear(X1,X2,X0)
| ~ between(X0,X1,X2) ) ).
cnf(c26,plain,
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
inference(clausification,[status(esa)],[t1]) ).
cnf(c63,plain,
between(v,u,w),
inference(clausification,[status(esa)],[u_between_v_and_w]) ).
cnf(c64,plain,
~ colinear(u,v,w),
inference(clausification,[status(esa)],[prove_uvw_colinear]) ).
cnf(c85,plain,
( colinear(X1,X2,X0)
| ~ between(X0,X1,X2) ),
inference(clausification,[status(esa)],[colinearity3]) ).
cnf(d_0,plain,
between(w,u,v),
inference(resolution,[status(thm)],[c26,c63]) ).
cnf(d_1,plain,
colinear(u,v,w),
inference(resolution,[status(thm)],[c85,d_0]) ).
cnf(d_2,plain,
$false,
inference(resolution,[status(thm)],[c64,d_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO066-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n020.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Fri Sep 25 12:39:03 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.32/3.47 % SZS status Unsatisfiable for theBenchmark.p
% 15.32/3.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------