TSTP Solution File: NUM025-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM025-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 : Mon Jul 18 12:24:11 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_of_less,axiom,
( ~ less(A,B)
| ~ less(C,A)
| less(C,B) ) ).
cnf(no_number_less_than_itself,axiom,
~ less(A,A) ).
cnf(a_less_than_b,hypothesis,
less(a,b) ).
cnf(prove_b_not_less_than_a,negated_conjecture,
less(b,a) ).
cnf(refute_0_0,plain,
( ~ less(X_185,b)
| ~ less(b,a)
| less(X_185,a) ),
inference(subst,[],[transitivity_of_less:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(X_185))]]) ).
cnf(refute_0_1,plain,
( ~ less(X_185,b)
| less(X_185,a) ),
inference(resolve,[$cnf( less(b,a) )],[prove_b_not_less_than_a,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ less(a,b)
| less(a,a) ),
inference(subst,[],[refute_0_1:[bind(X_185,$fot(a))]]) ).
cnf(refute_0_3,plain,
less(a,a),
inference(resolve,[$cnf( less(a,b) )],[a_less_than_b,refute_0_2]) ).
cnf(refute_0_4,plain,
~ less(a,a),
inference(subst,[],[no_number_less_than_itself:[bind(A,$fot(a))]]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( less(a,a) )],[refute_0_3,refute_0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM025-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n011.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 : Tue Jul 5 13:55:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.43
%------------------------------------------------------------------------------