%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO079-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 05:24:07 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% 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 : 4 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(trapezoid_definition,axiom,
( ~ trapezoid(U,V,W,X)
| parallel(V,W,U,X) ) ).
cnf(interior_angles_are_equal,axiom,
( ~ parallel(U,V,X,Y)
| eq(X,V,U,V,X,Y) ) ).
cnf(a_trapezoid,hypothesis,
trapezoid(a,b,c,d) ).
cnf(prove_angles_equal,negated_conjecture,
~ eq(a,c,b,c,a,d) ).
cnf(refute_0_0,plain,
( ~ trapezoid(a,b,c,d)
| parallel(b,c,a,d) ),
inference(subst,[],[trapezoid_definition:[bind(U,$fot(a)),bind(V,$fot(b)),bind(W,$fot(c)),bind(X,$fot(d))]]) ).
cnf(refute_0_1,plain,
parallel(b,c,a,d),
inference(resolve,[$cnf( trapezoid(a,b,c,d) )],[a_trapezoid,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ parallel(b,c,a,d)
| eq(a,c,b,c,a,d) ),
inference(subst,[],[interior_angles_are_equal:[bind(U,$fot(b)),bind(V,$fot(c)),bind(X,$fot(a)),bind(Y,$fot(d))]]) ).
cnf(refute_0_3,plain,
eq(a,c,b,c,a,d),
inference(resolve,[$cnf( parallel(b,c,a,d) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( eq(a,c,b,c,a,d) )],[refute_0_3,prove_angles_equal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO079-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n005.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 18:35:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------