TSTP Solution File: GEO019-3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO019-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 05:23:37 EDT 2022
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% 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 : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(d2,axiom,
( ~ equidistant(U,V,W,X)
| equidistant(W,X,U,V) ) ).
cnf(d3,axiom,
( ~ equidistant(U,V,W,X)
| equidistant(V,U,W,X) ) ).
cnf(u_to_v_equals_w_to_x,hypothesis,
equidistant(u,v,w,x) ).
cnf(prove_symmetry,negated_conjecture,
~ equidistant(w,x,v,u) ).
cnf(refute_0_0,plain,
( ~ equidistant(v,u,w,x)
| equidistant(w,x,v,u) ),
inference(subst,[],[d2:[bind(U,$fot(v)),bind(V,$fot(u)),bind(W,$fot(w)),bind(X,$fot(x))]]) ).
cnf(refute_0_1,plain,
( ~ equidistant(u,v,w,x)
| equidistant(v,u,w,x) ),
inference(subst,[],[d3:[bind(U,$fot(u)),bind(V,$fot(v)),bind(W,$fot(w)),bind(X,$fot(x))]]) ).
cnf(refute_0_2,plain,
equidistant(v,u,w,x),
inference(resolve,[$cnf( equidistant(u,v,w,x) )],[u_to_v_equals_w_to_x,refute_0_1]) ).
cnf(refute_0_3,plain,
equidistant(w,x,v,u),
inference(resolve,[$cnf( equidistant(v,u,w,x) )],[refute_0_2,refute_0_0]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( equidistant(w,x,v,u) )],[refute_0_3,prove_symmetry]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO019-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 04:15:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37
% 0.19/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.37
%------------------------------------------------------------------------------