TSTP Solution File: SYN070-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN070-1 : TPTP v8.1.0. Released v1.0.0.
% 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 08:59:16 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of clauses : 36 ( 8 unt; 18 nHn; 36 RR)
% Number of literals : 91 ( 0 equ; 38 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( ~ big_f(X)
| big_f(f(X))
| big_g(X) ) ).
cnf(clause_2,axiom,
( ~ big_f(X)
| big_h(f(X),X)
| big_g(X) ) ).
cnf(clause_3,axiom,
( ~ big_f(X)
| ~ big_g(f(X))
| big_g(X) ) ).
cnf(clause_4,axiom,
( ~ big_f(X)
| big_g(X)
| big_f(a) ) ).
cnf(clause_5,axiom,
( ~ big_f(X)
| big_g(X)
| ~ big_g(a) ) ).
cnf(clause_6,axiom,
( ~ big_f(X)
| big_g(X)
| ~ big_f(Y)
| big_g(Y)
| big_j(a,Y) ) ).
cnf(clause_7,axiom,
( ~ big_f(X)
| ~ big_f(Y)
| ~ big_h(X,Y)
| ~ big_j(Y,X) ) ).
cnf(clause_8,negated_conjecture,
big_f(b) ).
cnf(clause_9,negated_conjecture,
~ big_g(b) ).
cnf(refute_0_0,plain,
( ~ big_f(b)
| ~ big_g(f(b))
| big_g(b) ),
inference(subst,[],[clause_3:[bind(X,$fot(b))]]) ).
cnf(refute_0_1,plain,
( ~ big_f(f(b))
| ~ big_g(a)
| big_g(f(b)) ),
inference(subst,[],[clause_5:[bind(X,$fot(f(b)))]]) ).
cnf(refute_0_2,plain,
( ~ big_f(b)
| big_f(f(b))
| big_g(b) ),
inference(subst,[],[clause_1:[bind(X,$fot(b))]]) ).
cnf(refute_0_3,plain,
( big_f(f(b))
| big_g(b) ),
inference(resolve,[$cnf( big_f(b) )],[clause_8,refute_0_2]) ).
cnf(refute_0_4,plain,
big_f(f(b)),
inference(resolve,[$cnf( big_g(b) )],[refute_0_3,clause_9]) ).
cnf(refute_0_5,plain,
( ~ big_g(a)
| big_g(f(b)) ),
inference(resolve,[$cnf( big_f(f(b)) )],[refute_0_4,refute_0_1]) ).
cnf(refute_0_6,plain,
( ~ big_f(a)
| ~ big_g(f(a))
| big_g(a) ),
inference(subst,[],[clause_3:[bind(X,$fot(a))]]) ).
cnf(refute_0_7,plain,
( ~ big_f(b)
| big_f(a)
| big_g(b) ),
inference(subst,[],[clause_4:[bind(X,$fot(b))]]) ).
cnf(refute_0_8,plain,
( big_f(a)
| big_g(b) ),
inference(resolve,[$cnf( big_f(b) )],[clause_8,refute_0_7]) ).
cnf(refute_0_9,plain,
big_f(a),
inference(resolve,[$cnf( big_g(b) )],[refute_0_8,clause_9]) ).
cnf(refute_0_10,plain,
( ~ big_f(a)
| big_f(f(a))
| big_g(a) ),
inference(subst,[],[clause_1:[bind(X,$fot(a))]]) ).
cnf(refute_0_11,plain,
( big_f(f(a))
| big_g(a) ),
inference(resolve,[$cnf( big_f(a) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ big_f(a)
| big_g(a)
| big_h(f(a),a) ),
inference(subst,[],[clause_2:[bind(X,$fot(a))]]) ).
cnf(refute_0_13,plain,
( big_g(a)
| big_h(f(a),a) ),
inference(resolve,[$cnf( big_f(a) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ big_f(f(a))
| big_g(f(a))
| big_j(a,f(a)) ),
inference(subst,[],[clause_6:[bind(X,$fot(f(a))),bind(Y,$fot(f(a)))]]) ).
cnf(refute_0_15,plain,
( big_g(a)
| big_g(f(a))
| big_j(a,f(a)) ),
inference(resolve,[$cnf( big_f(f(a)) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ big_f(a)
| ~ big_f(f(a))
| ~ big_h(f(a),a)
| ~ big_j(a,f(a)) ),
inference(subst,[],[clause_7:[bind(X,$fot(f(a))),bind(Y,$fot(a))]]) ).
cnf(refute_0_17,plain,
( ~ big_f(a)
| ~ big_f(f(a))
| ~ big_h(f(a),a)
| big_g(a)
| big_g(f(a)) ),
inference(resolve,[$cnf( big_j(a,f(a)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ big_f(f(a))
| ~ big_h(f(a),a)
| big_g(a)
| big_g(f(a)) ),
inference(resolve,[$cnf( big_f(a) )],[refute_0_9,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ big_f(f(a))
| big_g(a)
| big_g(f(a)) ),
inference(resolve,[$cnf( big_h(f(a),a) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
( big_g(a)
| big_g(f(a)) ),
inference(resolve,[$cnf( big_f(f(a)) )],[refute_0_11,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ big_f(a)
| big_g(a) ),
inference(resolve,[$cnf( big_g(f(a)) )],[refute_0_20,refute_0_6]) ).
cnf(refute_0_22,plain,
big_g(a),
inference(resolve,[$cnf( big_f(a) )],[refute_0_9,refute_0_21]) ).
cnf(refute_0_23,plain,
big_g(f(b)),
inference(resolve,[$cnf( big_g(a) )],[refute_0_22,refute_0_5]) ).
cnf(refute_0_24,plain,
( ~ big_f(b)
| big_g(b) ),
inference(resolve,[$cnf( big_g(f(b)) )],[refute_0_23,refute_0_0]) ).
cnf(refute_0_25,plain,
big_g(b),
inference(resolve,[$cnf( big_f(b) )],[clause_8,refute_0_24]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( big_g(b) )],[refute_0_25,clause_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN070-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n022.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 : Mon Jul 11 14:03:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------