TSTP Solution File: SYN728-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN728-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Thu Jul 21 09:05:16 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 10 unt; 7 nHn; 10 RR)
% Number of literals : 42 ( 0 equ; 16 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm69_1,negated_conjecture,
( p(C,C)
| ~ p(A,B) ) ).
cnf(thm69_2,negated_conjecture,
( m(A)
| p(A,sk1(A)) ) ).
cnf(thm69_3,negated_conjecture,
( q(f(A,sk1(A)))
| p(A,sk1(A)) ) ).
cnf(thm69_4,negated_conjecture,
( ~ m(g(A))
| ~ q(A) ) ).
cnf(thm69_5,negated_conjecture,
( ~ p(sk2,sk2)
| ~ p(g(sk2),A) ) ).
cnf(refute_0_0,plain,
( ~ p(g(sk2),sk1(g(sk2)))
| ~ p(sk2,sk2) ),
inference(subst,[],[thm69_5:[bind(A,$fot(sk1(g(sk2))))]]) ).
cnf(refute_0_1,plain,
( m(X_4)
| p(X_4,sk1(X_4)) ),
inference(subst,[],[thm69_2:[bind(A,$fot(X_4))]]) ).
cnf(refute_0_2,plain,
( ~ p(X_4,sk1(X_4))
| p(X_6,X_6) ),
inference(subst,[],[thm69_1:[bind(A,$fot(X_4)),bind(B,$fot(sk1(X_4))),bind(C,$fot(X_6))]]) ).
cnf(refute_0_3,plain,
( m(X_4)
| p(X_6,X_6) ),
inference(resolve,[$cnf( p(X_4,sk1(X_4)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( m(X_4)
| p(sk2,sk2) ),
inference(subst,[],[refute_0_3:[bind(X_6,$fot(sk2))]]) ).
cnf(refute_0_5,plain,
( ~ p(g(sk2),g(sk2))
| ~ p(sk2,sk2) ),
inference(subst,[],[thm69_5:[bind(A,$fot(g(sk2)))]]) ).
cnf(refute_0_6,plain,
( m(X_7)
| p(g(sk2),g(sk2)) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_7)),bind(X_6,$fot(g(sk2)))]]) ).
cnf(refute_0_7,plain,
( ~ p(sk2,sk2)
| m(X_7) ),
inference(resolve,[$cnf( p(g(sk2),g(sk2)) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
( ~ p(sk2,sk2)
| m(X_9) ),
inference(subst,[],[refute_0_7:[bind(X_7,$fot(X_9))]]) ).
cnf(refute_0_9,plain,
( m(X_4)
| m(X_9) ),
inference(resolve,[$cnf( p(sk2,sk2) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
m(g(A)),
inference(subst,[],[refute_0_9:[bind(X_4,$fot(g(A))),bind(X_9,$fot(g(A)))]]) ).
cnf(refute_0_11,plain,
~ q(A),
inference(resolve,[$cnf( m(g(A)) )],[refute_0_10,thm69_4]) ).
cnf(refute_0_12,plain,
~ q(f(A,sk1(A))),
inference(subst,[],[refute_0_11:[bind(A,$fot(f(A,sk1(A))))]]) ).
cnf(refute_0_13,plain,
p(A,sk1(A)),
inference(resolve,[$cnf( q(f(A,sk1(A))) )],[thm69_3,refute_0_12]) ).
cnf(refute_0_14,plain,
p(g(sk2),sk1(g(sk2))),
inference(subst,[],[refute_0_13:[bind(A,$fot(g(sk2)))]]) ).
cnf(refute_0_15,plain,
~ p(sk2,sk2),
inference(resolve,[$cnf( p(g(sk2),sk1(g(sk2))) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
( ~ p(X_12,sk1(X_12))
| p(C,C) ),
inference(subst,[],[thm69_1:[bind(A,$fot(X_12)),bind(B,$fot(sk1(X_12)))]]) ).
cnf(refute_0_17,plain,
p(X_12,sk1(X_12)),
inference(subst,[],[refute_0_13:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_18,plain,
p(C,C),
inference(resolve,[$cnf( p(X_12,sk1(X_12)) )],[refute_0_17,refute_0_16]) ).
cnf(refute_0_19,plain,
p(sk2,sk2),
inference(subst,[],[refute_0_18:[bind(C,$fot(sk2))]]) ).
cnf(refute_0_20,plain,
$false,
inference(resolve,[$cnf( p(sk2,sk2) )],[refute_0_19,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN728-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 04:24:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34
%------------------------------------------------------------------------------