%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO066-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:24:01 EDT 2022
% Result : Unsatisfiable 0.42s 0.61s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 5 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 : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(colinearity3,axiom,
( ~ between(Z,X,Y)
| colinear(X,Y,Z) ) ).
cnf(t1,axiom,
( ~ between(U,V,W)
| between(W,V,U) ) ).
cnf(u_between_v_and_w,hypothesis,
between(v,u,w) ).
cnf(prove_uvw_colinear,negated_conjecture,
~ colinear(u,v,w) ).
cnf(refute_0_0,plain,
( ~ between(v,u,w)
| between(w,u,v) ),
inference(subst,[],[t1:[bind(U,$fot(v)),bind(V,$fot(u)),bind(W,$fot(w))]]) ).
cnf(refute_0_1,plain,
between(w,u,v),
inference(resolve,[$cnf( between(v,u,w) )],[u_between_v_and_w,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ between(w,u,v)
| colinear(u,v,w) ),
inference(subst,[],[colinearity3:[bind(X,$fot(u)),bind(Y,$fot(v)),bind(Z,$fot(w))]]) ).
cnf(refute_0_3,plain,
colinear(u,v,w),
inference(resolve,[$cnf( between(w,u,v) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( colinear(u,v,w) )],[refute_0_3,prove_uvw_colinear]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO066-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 19:41:12 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.42/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61
% 0.42/0.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.42/0.61
%------------------------------------------------------------------------------