TSTP Solution File: GEO015-3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO015-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 05:23:35 EDT 2022
% Result : Unsatisfiable 0.60s 0.76s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,V)
| ~ equidistant(X,Y,V2,W)
| equidistant(Z,V,V2,W) ) ).
cnf(d1,axiom,
equidistant(U,V,U,V) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x) ).
cnf(prove_symmetry,negated_conjecture,
~ equidistant(w,x,u,v) ).
cnf(refute_0_0,plain,
equidistant(u,v,u,v),
inference(subst,[],[d1:[bind(U,$fot(u)),bind(V,$fot(v))]]) ).
cnf(refute_0_1,plain,
( ~ equidistant(u,v,X_429,X_430)
| ~ equidistant(u,v,w,x)
| equidistant(w,x,X_429,X_430) ),
inference(subst,[],[transitivity_for_equidistance:[bind(V,$fot(x)),bind(V2,$fot(X_429)),bind(W,$fot(X_430)),bind(X,$fot(u)),bind(Y,$fot(v)),bind(Z,$fot(w))]]) ).
cnf(refute_0_2,plain,
( ~ equidistant(u,v,X_429,X_430)
| equidistant(w,x,X_429,X_430) ),
inference(resolve,[$cnf( equidistant(u,v,w,x) )],[u_to_v_equals_w_to_x,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ equidistant(u,v,u,v)
| equidistant(w,x,u,v) ),
inference(subst,[],[refute_0_2:[bind(X_429,$fot(u)),bind(X_430,$fot(v))]]) ).
cnf(refute_0_4,plain,
equidistant(w,x,u,v),
inference(resolve,[$cnf( equidistant(u,v,u,v) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( equidistant(w,x,u,v) )],[refute_0_4,prove_symmetry]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO015-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 01:33:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.60/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76
% 0.60/0.76 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.60/0.76
%------------------------------------------------------------------------------