TSTP Solution File: SYN310-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN310-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 09:01:08 EDT 2022
% Result : Unsatisfiable 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of clauses : 31 ( 15 unt; 0 nHn; 31 RR)
% Number of literals : 47 ( 0 equ; 17 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ p(X2,X1,X)
| p(X,X1,X2) ) ).
cnf(clause2,negated_conjecture,
( ~ p(X1,X,X2)
| p(X,X1,X2) ) ).
cnf(clause3,negated_conjecture,
( ~ p(X,X1,g(X2))
| p(X,X1,X2) ) ).
cnf(clause4,negated_conjecture,
( ~ p(f(X),X1,X2)
| p(X,X1,X2) ) ).
cnf(clause5,negated_conjecture,
~ p(a,b,c) ).
cnf(clause6,negated_conjecture,
p(f(g(a)),f(g(b)),f(g(c))) ).
cnf(refute_0_0,plain,
( ~ p(b,a,c)
| p(a,b,c) ),
inference(subst,[],[clause2:[bind(X,$fot(a)),bind(X1,$fot(b)),bind(X2,$fot(c))]]) ).
cnf(refute_0_1,plain,
( ~ p(b,a,g(c))
| p(b,a,c) ),
inference(subst,[],[clause3:[bind(X,$fot(b)),bind(X1,$fot(a)),bind(X2,$fot(c))]]) ).
cnf(refute_0_2,plain,
( ~ p(g(c),a,b)
| p(b,a,g(c)) ),
inference(subst,[],[clause1:[bind(X,$fot(b)),bind(X1,$fot(a)),bind(X2,$fot(g(c)))]]) ).
cnf(refute_0_3,plain,
( ~ p(a,g(c),b)
| p(g(c),a,b) ),
inference(subst,[],[clause2:[bind(X,$fot(g(c))),bind(X1,$fot(a)),bind(X2,$fot(b))]]) ).
cnf(refute_0_4,plain,
( ~ p(a,g(c),g(b))
| p(a,g(c),b) ),
inference(subst,[],[clause3:[bind(X,$fot(a)),bind(X1,$fot(g(c))),bind(X2,$fot(b))]]) ).
cnf(refute_0_5,plain,
( ~ p(g(b),g(c),a)
| p(a,g(c),g(b)) ),
inference(subst,[],[clause1:[bind(X,$fot(a)),bind(X1,$fot(g(c))),bind(X2,$fot(g(b)))]]) ).
cnf(refute_0_6,plain,
( ~ p(g(b),g(c),g(a))
| p(g(b),g(c),a) ),
inference(subst,[],[clause3:[bind(X,$fot(g(b))),bind(X1,$fot(g(c))),bind(X2,$fot(a))]]) ).
cnf(refute_0_7,plain,
( ~ p(f(g(b)),g(c),g(a))
| p(g(b),g(c),g(a)) ),
inference(subst,[],[clause4:[bind(X,$fot(g(b))),bind(X1,$fot(g(c))),bind(X2,$fot(g(a)))]]) ).
cnf(refute_0_8,plain,
( ~ p(g(c),f(g(b)),g(a))
| p(f(g(b)),g(c),g(a)) ),
inference(subst,[],[clause2:[bind(X,$fot(f(g(b)))),bind(X1,$fot(g(c))),bind(X2,$fot(g(a)))]]) ).
cnf(refute_0_9,plain,
( ~ p(f(g(c)),f(g(b)),g(a))
| p(g(c),f(g(b)),g(a)) ),
inference(subst,[],[clause4:[bind(X,$fot(g(c))),bind(X1,$fot(f(g(b)))),bind(X2,$fot(g(a)))]]) ).
cnf(refute_0_10,plain,
( ~ p(g(a),f(g(b)),f(g(c)))
| p(f(g(c)),f(g(b)),g(a)) ),
inference(subst,[],[clause1:[bind(X,$fot(f(g(c)))),bind(X1,$fot(f(g(b)))),bind(X2,$fot(g(a)))]]) ).
cnf(refute_0_11,plain,
( ~ p(f(g(a)),f(g(b)),f(g(c)))
| p(g(a),f(g(b)),f(g(c))) ),
inference(subst,[],[clause4:[bind(X,$fot(g(a))),bind(X1,$fot(f(g(b)))),bind(X2,$fot(f(g(c))))]]) ).
cnf(refute_0_12,plain,
p(g(a),f(g(b)),f(g(c))),
inference(resolve,[$cnf( p(f(g(a)),f(g(b)),f(g(c))) )],[clause6,refute_0_11]) ).
cnf(refute_0_13,plain,
p(f(g(c)),f(g(b)),g(a)),
inference(resolve,[$cnf( p(g(a),f(g(b)),f(g(c))) )],[refute_0_12,refute_0_10]) ).
cnf(refute_0_14,plain,
p(g(c),f(g(b)),g(a)),
inference(resolve,[$cnf( p(f(g(c)),f(g(b)),g(a)) )],[refute_0_13,refute_0_9]) ).
cnf(refute_0_15,plain,
p(f(g(b)),g(c),g(a)),
inference(resolve,[$cnf( p(g(c),f(g(b)),g(a)) )],[refute_0_14,refute_0_8]) ).
cnf(refute_0_16,plain,
p(g(b),g(c),g(a)),
inference(resolve,[$cnf( p(f(g(b)),g(c),g(a)) )],[refute_0_15,refute_0_7]) ).
cnf(refute_0_17,plain,
p(g(b),g(c),a),
inference(resolve,[$cnf( p(g(b),g(c),g(a)) )],[refute_0_16,refute_0_6]) ).
cnf(refute_0_18,plain,
p(a,g(c),g(b)),
inference(resolve,[$cnf( p(g(b),g(c),a) )],[refute_0_17,refute_0_5]) ).
cnf(refute_0_19,plain,
p(a,g(c),b),
inference(resolve,[$cnf( p(a,g(c),g(b)) )],[refute_0_18,refute_0_4]) ).
cnf(refute_0_20,plain,
p(g(c),a,b),
inference(resolve,[$cnf( p(a,g(c),b) )],[refute_0_19,refute_0_3]) ).
cnf(refute_0_21,plain,
p(b,a,g(c)),
inference(resolve,[$cnf( p(g(c),a,b) )],[refute_0_20,refute_0_2]) ).
cnf(refute_0_22,plain,
p(b,a,c),
inference(resolve,[$cnf( p(b,a,g(c)) )],[refute_0_21,refute_0_1]) ).
cnf(refute_0_23,plain,
p(a,b,c),
inference(resolve,[$cnf( p(b,a,c) )],[refute_0_22,refute_0_0]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( p(a,b,c) )],[refute_0_23,clause5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN310-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jul 12 03:16:28 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33
% 0.12/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------