%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO041-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 05:23:48 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 9 unt; 0 nHn; 17 RR)
% Number of literals : 30 ( 14 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
( ~ between(U,V,W)
| between(W,V,U) ) ).
cnf(b2,axiom,
( ~ between(U,V,W)
| ~ between(V,U,W)
| U = V ) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w) ).
cnf(w_between_u_and_v,hypothesis,
between(u,w,v) ).
cnf(prove_v_is_w,negated_conjecture,
v != w ).
cnf(refute_0_0,plain,
( ~ between(u,v,w)
| between(w,v,u) ),
inference(subst,[],[t1:[bind(U,$fot(u)),bind(V,$fot(v)),bind(W,$fot(w))]]) ).
cnf(refute_0_1,plain,
between(w,v,u),
inference(resolve,[$cnf( between(u,v,w) )],[v_between_u_and_w,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ between(v,w,u)
| ~ between(w,v,u)
| w = v ),
inference(subst,[],[b2:[bind(U,$fot(w)),bind(V,$fot(v)),bind(W,$fot(u))]]) ).
cnf(refute_0_3,plain,
( ~ between(v,w,u)
| w = v ),
inference(resolve,[$cnf( between(w,v,u) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ between(u,w,v)
| between(v,w,u) ),
inference(subst,[],[t1:[bind(U,$fot(u)),bind(V,$fot(w)),bind(W,$fot(v))]]) ).
cnf(refute_0_5,plain,
between(v,w,u),
inference(resolve,[$cnf( between(u,w,v) )],[w_between_u_and_v,refute_0_4]) ).
cnf(refute_0_6,plain,
w = v,
inference(resolve,[$cnf( between(v,w,u) )],[refute_0_5,refute_0_3]) ).
cnf(refute_0_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( w != v
| v = w ),
inference(subst,[],[refute_0_9:[bind(X,$fot(w)),bind(Y,$fot(v))]]) ).
cnf(refute_0_11,plain,
w != v,
inference(resolve,[$cnf( $equal(v,w) )],[refute_0_10,prove_v_is_w]) ).
cnf(refute_0_12,plain,
$false,
inference(resolve,[$cnf( $equal(w,v) )],[refute_0_6,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO041-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 18:52:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50
% 0.21/0.50 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.50
%------------------------------------------------------------------------------