%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP042-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 10:32:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 28 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X) ).
cnf(total_function2,axiom,
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| equalish(Z,W) ) ).
cnf(product_substitution3,axiom,
( ~ equalish(X,Y)
| ~ product(W,Z,X)
| product(W,Z,Y) ) ).
cnf(a_equals_b,hypothesis,
equalish(a,b) ).
cnf(prove_symmetry,negated_conjecture,
~ equalish(b,a) ).
cnf(refute_0_0,plain,
product(identity,X_50,X_50),
inference(subst,[],[left_identity:[bind(X,$fot(X_50))]]) ).
cnf(refute_0_1,plain,
( ~ product(identity,X_50,X_50)
| ~ product(identity,X_50,X_53)
| equalish(X_53,X_50) ),
inference(subst,[],[total_function2:[bind(W,$fot(X_50)),bind(X,$fot(identity)),bind(Y,$fot(X_50)),bind(Z,$fot(X_53))]]) ).
cnf(refute_0_2,plain,
( ~ product(identity,X_50,X_53)
| equalish(X_53,X_50) ),
inference(resolve,[$cnf( product(identity,X_50,X_50) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ product(identity,a,b)
| equalish(b,a) ),
inference(subst,[],[refute_0_2:[bind(X_50,$fot(a)),bind(X_53,$fot(b))]]) ).
cnf(refute_0_4,plain,
product(identity,X_100,X_100),
inference(subst,[],[left_identity:[bind(X,$fot(X_100))]]) ).
cnf(refute_0_5,plain,
( ~ equalish(X_100,X_101)
| ~ product(identity,X_100,X_100)
| product(identity,X_100,X_101) ),
inference(subst,[],[product_substitution3:[bind(W,$fot(identity)),bind(X,$fot(X_100)),bind(Y,$fot(X_101)),bind(Z,$fot(X_100))]]) ).
cnf(refute_0_6,plain,
( ~ equalish(X_100,X_101)
| product(identity,X_100,X_101) ),
inference(resolve,[$cnf( product(identity,X_100,X_100) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ equalish(a,b)
| product(identity,a,b) ),
inference(subst,[],[refute_0_6:[bind(X_100,$fot(a)),bind(X_101,$fot(b))]]) ).
cnf(refute_0_8,plain,
product(identity,a,b),
inference(resolve,[$cnf( equalish(a,b) )],[a_equals_b,refute_0_7]) ).
cnf(refute_0_9,plain,
equalish(b,a),
inference(resolve,[$cnf( product(identity,a,b) )],[refute_0_8,refute_0_3]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( equalish(b,a) )],[refute_0_9,prove_symmetry]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP042-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n007.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 : Mon Jun 13 12:11:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47
% 0.20/0.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.47
%------------------------------------------------------------------------------