%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO035-2 : 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 05:23:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 26 ( 21 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 27 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ) ).
cnf(segment_construction2,axiom,
equidistant(Y,extension(X,Y,W,V),W,V) ).
cnf(prove_null_extension,negated_conjecture,
v != extension(u,v,w,w) ).
cnf(refute_0_0,plain,
equidistant(X_12,extension(X,X_12,X_14,X_14),X_14,X_14),
inference(subst,[],[segment_construction2:[bind(V,$fot(X_14)),bind(W,$fot(X_14)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_1,plain,
( ~ equidistant(X_12,extension(X,X_12,X_14,X_14),X_14,X_14)
| X_12 = extension(X,X_12,X_14,X_14) ),
inference(subst,[],[identity_for_equidistance:[bind(X,$fot(X_12)),bind(Y,$fot(extension(X,X_12,X_14,X_14))),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_2,plain,
X_12 = extension(X,X_12,X_14,X_14),
inference(resolve,[$cnf( equidistant(X_12,extension(X,X_12,X_14,X_14),X_14,X_14) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_4,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_5,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( X_12 != extension(X,X_12,X_14,X_14)
| extension(X,X_12,X_14,X_14) = X_12 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(X_12)),bind(Y0,$fot(extension(X,X_12,X_14,X_14)))]]) ).
cnf(refute_0_7,plain,
extension(X,X_12,X_14,X_14) = X_12,
inference(resolve,[$cnf( $equal(X_12,extension(X,X_12,X_14,X_14)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
extension(u,v,w,w) = v,
inference(subst,[],[refute_0_7:[bind(X,$fot(u)),bind(X_12,$fot(v)),bind(X_14,$fot(w))]]) ).
cnf(refute_0_9,plain,
( extension(u,v,w,w) != v
| v != v
| v = extension(u,v,w,w) ),
introduced(tautology,[equality,[$cnf( ~ $equal(v,extension(u,v,w,w)) ),[1],$fot(v)]]) ).
cnf(refute_0_10,plain,
( v != v
| v = extension(u,v,w,w) ),
inference(resolve,[$cnf( $equal(extension(u,v,w,w),v) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
v != v,
inference(resolve,[$cnf( $equal(v,extension(u,v,w,w)) )],[refute_0_10,prove_null_extension]) ).
cnf(refute_0_12,plain,
v = v,
introduced(tautology,[refl,[$fot(v)]]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( $equal(v,v) )],[refute_0_12,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO035-2 : 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 02:13:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37
% 0.19/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.37
%------------------------------------------------------------------------------