%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 : Thu Jul 14 23:44:34 EDT 2022
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 17 ( 6 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(additive_identity2,axiom,
sum(X,additive_identity,X) ).
cnf(additive_inverse1,axiom,
sum(inverse(X),X,multiplicative_identity) ).
cnf(addition_is_well_defined,axiom,
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| U = V ) ).
cnf(prove_equation,negated_conjecture,
inverse(additive_identity) != multiplicative_identity ).
cnf(refute_0_0,plain,
sum(inverse(additive_identity),additive_identity,multiplicative_identity),
inference(subst,[],[additive_inverse1:[bind(X,$fot(additive_identity))]]) ).
cnf(refute_0_1,plain,
sum(X_246,additive_identity,X_246),
inference(subst,[],[additive_identity2:[bind(X,$fot(X_246))]]) ).
cnf(refute_0_2,plain,
( ~ sum(X_246,additive_identity,X_246)
| ~ sum(X_246,additive_identity,X_247)
| X_246 = X_247 ),
inference(subst,[],[addition_is_well_defined:[bind(U,$fot(X_246)),bind(V,$fot(X_247)),bind(X,$fot(X_246)),bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_3,plain,
( ~ sum(X_246,additive_identity,X_247)
| X_246 = X_247 ),
inference(resolve,[$cnf( sum(X_246,additive_identity,X_246) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ sum(inverse(additive_identity),additive_identity,multiplicative_identity)
| inverse(additive_identity) = multiplicative_identity ),
inference(subst,[],[refute_0_3:[bind(X_246,$fot(inverse(additive_identity))),bind(X_247,$fot(multiplicative_identity))]]) ).
cnf(refute_0_5,plain,
inverse(additive_identity) = multiplicative_identity,
inference(resolve,[$cnf( sum(inverse(additive_identity),additive_identity,multiplicative_identity) )],[refute_0_0,refute_0_4]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( $equal(inverse(additive_identity),multiplicative_identity) )],[refute_0_5,prove_equation]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 1 17:22:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.45
%------------------------------------------------------------------------------