%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN055-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 08:59:01 EDT 2022
% Result : Unsatisfiable 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 7 unt; 6 nHn; 24 RR)
% Number of literals : 48 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
big_p(a) ).
cnf(clause_2,axiom,
( ~ big_f(X)
| ~ big_g(X)
| ~ big_r(X) ) ).
cnf(clause_3,axiom,
( ~ big_p(X)
| big_f(X) ) ).
cnf(clause_4,axiom,
( ~ big_p(X)
| big_g(X) ) ).
cnf(clause_5,axiom,
( ~ big_p(X)
| big_q(X)
| big_p(b) ) ).
cnf(clause_6,negated_conjecture,
( ~ big_p(X)
| big_q(X)
| big_r(b) ) ).
cnf(clause_7,negated_conjecture,
( ~ big_q(X)
| ~ big_p(X) ) ).
cnf(refute_0_0,plain,
( ~ big_p(a)
| ~ big_q(a) ),
inference(subst,[],[clause_7:[bind(X,$fot(a))]]) ).
cnf(refute_0_1,plain,
( ~ big_f(b)
| ~ big_g(b)
| ~ big_r(b) ),
inference(subst,[],[clause_2:[bind(X,$fot(b))]]) ).
cnf(refute_0_2,plain,
( ~ big_p(a)
| big_q(a)
| big_r(b) ),
inference(subst,[],[clause_6:[bind(X,$fot(a))]]) ).
cnf(refute_0_3,plain,
( big_q(a)
| big_r(b) ),
inference(resolve,[$cnf( big_p(a) )],[clause_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ big_f(b)
| ~ big_g(b)
| big_q(a) ),
inference(resolve,[$cnf( big_r(b) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( ~ big_p(b)
| big_f(b) ),
inference(subst,[],[clause_3:[bind(X,$fot(b))]]) ).
cnf(refute_0_6,plain,
( ~ big_p(a)
| big_p(b)
| big_q(a) ),
inference(subst,[],[clause_5:[bind(X,$fot(a))]]) ).
cnf(refute_0_7,plain,
( big_p(b)
| big_q(a) ),
inference(resolve,[$cnf( big_p(a) )],[clause_1,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ big_p(a)
| big_p(b) ),
inference(resolve,[$cnf( big_q(a) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
big_p(b),
inference(resolve,[$cnf( big_p(a) )],[clause_1,refute_0_8]) ).
cnf(refute_0_10,plain,
big_f(b),
inference(resolve,[$cnf( big_p(b) )],[refute_0_9,refute_0_5]) ).
cnf(refute_0_11,plain,
( ~ big_g(b)
| big_q(a) ),
inference(resolve,[$cnf( big_f(b) )],[refute_0_10,refute_0_4]) ).
cnf(refute_0_12,plain,
( ~ big_p(b)
| big_g(b) ),
inference(subst,[],[clause_4:[bind(X,$fot(b))]]) ).
cnf(refute_0_13,plain,
big_g(b),
inference(resolve,[$cnf( big_p(b) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
big_q(a),
inference(resolve,[$cnf( big_g(b) )],[refute_0_13,refute_0_11]) ).
cnf(refute_0_15,plain,
~ big_p(a),
inference(resolve,[$cnf( big_q(a) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( big_p(a) )],[clause_1,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN055-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jul 12 08:22:50 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36
% 0.15/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.36
%------------------------------------------------------------------------------