TSTP Solution File: SYN721-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN721-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 21 09:05:00 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lx1_1,negated_conjecture,
r(a,b) ).
cnf(lx1_2,negated_conjecture,
( q(A,A)
| ~ r(A,B) ) ).
cnf(lx1_3,negated_conjecture,
( r(C,B)
| ~ q(A,B) ) ).
cnf(lx1_4,negated_conjecture,
( ~ q(A,a)
| ~ r(b,A) ) ).
cnf(refute_0_0,plain,
( ~ q(a,a)
| ~ r(b,a) ),
inference(subst,[],[lx1_4:[bind(A,$fot(a))]]) ).
cnf(refute_0_1,plain,
( ~ r(a,b)
| q(a,a) ),
inference(subst,[],[lx1_2:[bind(A,$fot(a)),bind(B,$fot(b))]]) ).
cnf(refute_0_2,plain,
q(a,a),
inference(resolve,[$cnf( r(a,b) )],[lx1_1,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ q(a,a)
| r(X_5,a) ),
inference(subst,[],[lx1_3:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(X_5))]]) ).
cnf(refute_0_4,plain,
r(X_5,a),
inference(resolve,[$cnf( q(a,a) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
r(b,a),
inference(subst,[],[refute_0_4:[bind(X_5,$fot(b))]]) ).
cnf(refute_0_6,plain,
~ q(a,a),
inference(resolve,[$cnf( r(b,a) )],[refute_0_5,refute_0_0]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( q(a,a) )],[refute_0_2,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN721-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 15:49:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------