TSTP Solution File: SYN084-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 08:59:27 EDT 2022
% Result : Unsatisfiable 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of clauses : 35 ( 9 unt; 15 nHn; 33 RR)
% Number of literals : 70 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(pel62_1,negated_conjecture,
big_p(a) ).
cnf(pel62_2,negated_conjecture,
( big_p(f(f(A)))
| big_p(A)
| ~ big_p(a) ) ).
cnf(pel62_3,negated_conjecture,
( big_p(f(f(A)))
| ~ big_p(f(A))
| ~ big_p(a) ) ).
cnf(pel62_4,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ) ).
cnf(pel62_5,negated_conjecture,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ) ).
cnf(pel62_6,negated_conjecture,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ) ).
cnf(pel62_7,negated_conjecture,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ) ).
cnf(refute_0_0,plain,
( ~ big_p(f(A))
| big_p(f(f(A))) ),
inference(resolve,[$cnf( big_p(a) )],[pel62_1,pel62_3]) ).
cnf(refute_0_1,plain,
( ~ big_p(f(sk2))
| big_p(f(f(sk2))) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(sk2))]]) ).
cnf(refute_0_2,plain,
( ~ big_p(f(sk1))
| big_p(f(f(sk1))) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_3,plain,
( big_p(A)
| big_p(f(f(A))) ),
inference(resolve,[$cnf( big_p(a) )],[pel62_1,pel62_2]) ).
cnf(refute_0_4,plain,
( big_p(f(f(sk1)))
| big_p(sk1) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_5,plain,
( big_p(f(f(sk2)))
| big_p(sk2) ),
inference(subst,[],[refute_0_3:[bind(A,$fot(sk2))]]) ).
cnf(refute_0_6,plain,
( ~ big_p(f(f(sk1)))
| big_p(sk2) ),
inference(resolve,[$cnf( big_p(f(f(sk2))) )],[refute_0_5,pel62_4]) ).
cnf(refute_0_7,plain,
( big_p(sk1)
| big_p(sk2) ),
inference(resolve,[$cnf( big_p(f(f(sk1))) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ big_p(sk2)
| big_p(f(sk2))
| big_p(sk1) ),
inference(resolve,[$cnf( big_p(f(f(sk1))) )],[refute_0_4,pel62_7]) ).
cnf(refute_0_9,plain,
( big_p(f(sk2))
| big_p(sk1) ),
inference(resolve,[$cnf( big_p(sk2) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( big_p(f(f(sk2)))
| big_p(sk1) ),
inference(resolve,[$cnf( big_p(f(sk2)) )],[refute_0_9,refute_0_1]) ).
cnf(refute_0_11,plain,
( ~ big_p(f(f(sk1)))
| big_p(sk1) ),
inference(resolve,[$cnf( big_p(f(f(sk2))) )],[refute_0_10,pel62_4]) ).
cnf(refute_0_12,plain,
big_p(sk1),
inference(resolve,[$cnf( big_p(f(f(sk1))) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ big_p(sk2)
| big_p(f(sk1))
| big_p(f(sk2)) ),
inference(resolve,[$cnf( big_p(sk1) )],[refute_0_12,pel62_5]) ).
cnf(refute_0_14,plain,
( ~ big_p(sk1)
| big_p(f(sk1))
| big_p(sk2) ),
inference(resolve,[$cnf( big_p(f(f(sk2))) )],[refute_0_5,pel62_6]) ).
cnf(refute_0_15,plain,
( big_p(f(sk1))
| big_p(sk2) ),
inference(resolve,[$cnf( big_p(sk1) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( big_p(f(f(sk1)))
| big_p(sk2) ),
inference(resolve,[$cnf( big_p(f(sk1)) )],[refute_0_15,refute_0_2]) ).
cnf(refute_0_17,plain,
big_p(sk2),
inference(resolve,[$cnf( big_p(f(f(sk1))) )],[refute_0_16,refute_0_6]) ).
cnf(refute_0_18,plain,
( big_p(f(sk1))
| big_p(f(sk2)) ),
inference(resolve,[$cnf( big_p(sk2) )],[refute_0_17,refute_0_13]) ).
cnf(refute_0_19,plain,
( big_p(f(f(sk2)))
| big_p(f(sk1)) ),
inference(resolve,[$cnf( big_p(f(sk2)) )],[refute_0_18,refute_0_1]) ).
cnf(refute_0_20,plain,
( ~ big_p(sk1)
| big_p(f(sk1)) ),
inference(resolve,[$cnf( big_p(f(f(sk2))) )],[refute_0_19,pel62_6]) ).
cnf(refute_0_21,plain,
big_p(f(sk1)),
inference(resolve,[$cnf( big_p(sk1) )],[refute_0_12,refute_0_20]) ).
cnf(refute_0_22,plain,
big_p(f(f(sk1))),
inference(resolve,[$cnf( big_p(f(sk1)) )],[refute_0_21,refute_0_2]) ).
cnf(refute_0_23,plain,
( ~ big_p(sk2)
| big_p(f(sk2)) ),
inference(resolve,[$cnf( big_p(f(f(sk1))) )],[refute_0_22,pel62_7]) ).
cnf(refute_0_24,plain,
big_p(f(sk2)),
inference(resolve,[$cnf( big_p(sk2) )],[refute_0_17,refute_0_23]) ).
cnf(refute_0_25,plain,
big_p(f(f(sk2))),
inference(resolve,[$cnf( big_p(f(sk2)) )],[refute_0_24,refute_0_1]) ).
cnf(refute_0_26,plain,
~ big_p(f(f(sk1))),
inference(resolve,[$cnf( big_p(f(f(sk2))) )],[refute_0_25,pel62_4]) ).
cnf(refute_0_27,plain,
$false,
inference(resolve,[$cnf( big_p(f(f(sk1))) )],[refute_0_22,refute_0_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n013.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 12 01:10:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.36
% 0.20/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.36
%------------------------------------------------------------------------------