TSTP Solution File: GEO086-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO086-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 05:24:10 EDT 2022
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 6 unt; 3 nHn; 11 RR)
% Number of literals : 19 ( 5 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1_35,axiom,
( ~ part_of(A,B)
| A = B
| open(A) ) ).
cnf(theorem_2_7_2_67,negated_conjecture,
open(sk14) ).
cnf(theorem_2_7_2_68,negated_conjecture,
part_of(sk15,sk14) ).
cnf(theorem_2_7_2_69,negated_conjecture,
~ open(sk15) ).
cnf(refute_0_0,plain,
( ~ part_of(sk15,sk14)
| sk15 = sk14
| open(sk15) ),
inference(subst,[],[c1_35:[bind(A,$fot(sk15)),bind(B,$fot(sk14))]]) ).
cnf(refute_0_1,plain,
( sk15 = sk14
| open(sk15) ),
inference(resolve,[$cnf( part_of(sk15,sk14) )],[theorem_2_7_2_68,refute_0_0]) ).
cnf(refute_0_2,plain,
sk15 = sk14,
inference(resolve,[$cnf( open(sk15) )],[refute_0_1,theorem_2_7_2_69]) ).
cnf(refute_0_3,plain,
( sk15 != sk14
| ~ open(sk14)
| open(sk15) ),
introduced(tautology,[equality,[$cnf( ~ open(sk15) ),[0],$fot(sk14)]]) ).
cnf(refute_0_4,plain,
( ~ open(sk14)
| open(sk15) ),
inference(resolve,[$cnf( $equal(sk15,sk14) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
~ open(sk14),
inference(resolve,[$cnf( open(sk15) )],[refute_0_4,theorem_2_7_2_69]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( open(sk14) )],[theorem_2_7_2_67,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO086-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n004.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 : Fri Jun 17 23:07:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43
% 0.20/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.44
%------------------------------------------------------------------------------