TSTP Solution File: HEN001-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HEN001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 12:58:28 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 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 : 6 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal,axiom,
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ) ).
cnf(identity_is_largest,axiom,
less_equal(X,identity) ).
cnf(prove_everything_divide_identity_is_zero,negated_conjecture,
~ quotient(x,identity,zero) ).
cnf(refute_0_0,plain,
less_equal(X_4,identity),
inference(subst,[],[identity_is_largest:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_1,plain,
( ~ less_equal(X_4,identity)
| quotient(X_4,identity,zero) ),
inference(subst,[],[quotient_less_equal:[bind(X,$fot(X_4)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_2,plain,
quotient(X_4,identity,zero),
inference(resolve,[$cnf( less_equal(X_4,identity) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
quotient(x,identity,zero),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(x))]]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( quotient(x,identity,zero) )],[refute_0_3,prove_everything_divide_identity_is_zero]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n015.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 : Fri Jul 1 14:13:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
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