TSTP Solution File: SYN311-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN311-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 18.25s 18.41s
% Output : CNFRefutation 18.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of clauses : 41 ( 20 unt; 0 nHn; 41 RR)
% Number of literals : 62 ( 0 equ; 22 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( p(X3,X,X1,X2)
| ~ p(X,X1,X2,X3) ) ).
cnf(clause2,negated_conjecture,
( p(X3,X2,X1,X)
| ~ p(X,X1,X2,X3) ) ).
cnf(clause3,negated_conjecture,
( p(X,X1,X2,g(X3))
| ~ p(X,X1,X2,X3) ) ).
cnf(clause4,negated_conjecture,
( p(f(X),X1,X2,X3)
| ~ p(X,X1,X2,X3) ) ).
cnf(clause5,negated_conjecture,
p(a,b,c,d) ).
cnf(clause6,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))) ).
cnf(refute_0_0,plain,
( ~ p(g(d),f(g(c)),f(g(b)),f(g(a)))
| p(f(g(d)),f(g(c)),f(g(b)),f(g(a))) ),
inference(subst,[],[clause4:[bind(X,$fot(g(d))),bind(X1,$fot(f(g(c)))),bind(X2,$fot(f(g(b)))),bind(X3,$fot(f(g(a))))]]) ).
cnf(refute_0_1,plain,
( ~ p(f(g(a)),f(g(b)),f(g(c)),g(d))
| p(g(d),f(g(c)),f(g(b)),f(g(a))) ),
inference(subst,[],[clause2:[bind(X,$fot(f(g(a)))),bind(X1,$fot(f(g(b)))),bind(X2,$fot(f(g(c)))),bind(X3,$fot(g(d)))]]) ).
cnf(refute_0_2,plain,
( ~ p(g(a),f(g(b)),f(g(c)),g(d))
| p(f(g(a)),f(g(b)),f(g(c)),g(d)) ),
inference(subst,[],[clause4:[bind(X,$fot(g(a))),bind(X1,$fot(f(g(b)))),bind(X2,$fot(f(g(c)))),bind(X3,$fot(g(d)))]]) ).
cnf(refute_0_3,plain,
( ~ p(g(a),f(g(b)),f(g(c)),d)
| p(g(a),f(g(b)),f(g(c)),g(d)) ),
inference(subst,[],[clause3:[bind(X,$fot(g(a))),bind(X1,$fot(f(g(b)))),bind(X2,$fot(f(g(c)))),bind(X3,$fot(d))]]) ).
cnf(refute_0_4,plain,
( ~ p(d,f(g(c)),f(g(b)),g(a))
| p(g(a),f(g(b)),f(g(c)),d) ),
inference(subst,[],[clause2:[bind(X,$fot(d)),bind(X1,$fot(f(g(c)))),bind(X2,$fot(f(g(b)))),bind(X3,$fot(g(a)))]]) ).
cnf(refute_0_5,plain,
( ~ p(d,f(g(c)),f(g(b)),a)
| p(d,f(g(c)),f(g(b)),g(a)) ),
inference(subst,[],[clause3:[bind(X,$fot(d)),bind(X1,$fot(f(g(c)))),bind(X2,$fot(f(g(b)))),bind(X3,$fot(a))]]) ).
cnf(refute_0_6,plain,
( ~ p(f(g(c)),f(g(b)),a,d)
| p(d,f(g(c)),f(g(b)),a) ),
inference(subst,[],[clause1:[bind(X,$fot(f(g(c)))),bind(X1,$fot(f(g(b)))),bind(X2,$fot(a)),bind(X3,$fot(d))]]) ).
cnf(refute_0_7,plain,
( ~ p(f(g(b)),a,d,f(g(c)))
| p(f(g(c)),f(g(b)),a,d) ),
inference(subst,[],[clause1:[bind(X,$fot(f(g(b)))),bind(X1,$fot(a)),bind(X2,$fot(d)),bind(X3,$fot(f(g(c))))]]) ).
cnf(refute_0_8,plain,
( ~ p(f(g(c)),d,a,f(g(b)))
| p(f(g(b)),a,d,f(g(c))) ),
inference(subst,[],[clause2:[bind(X,$fot(f(g(c)))),bind(X1,$fot(d)),bind(X2,$fot(a)),bind(X3,$fot(f(g(b))))]]) ).
cnf(refute_0_9,plain,
( ~ p(g(c),d,a,f(g(b)))
| p(f(g(c)),d,a,f(g(b))) ),
inference(subst,[],[clause4:[bind(X,$fot(g(c))),bind(X1,$fot(d)),bind(X2,$fot(a)),bind(X3,$fot(f(g(b))))]]) ).
cnf(refute_0_10,plain,
( ~ p(f(g(b)),a,d,g(c))
| p(g(c),d,a,f(g(b))) ),
inference(subst,[],[clause2:[bind(X,$fot(f(g(b)))),bind(X1,$fot(a)),bind(X2,$fot(d)),bind(X3,$fot(g(c)))]]) ).
cnf(refute_0_11,plain,
( ~ p(g(b),a,d,c)
| p(g(b),a,d,g(c)) ),
inference(subst,[],[clause3:[bind(X,$fot(g(b))),bind(X1,$fot(a)),bind(X2,$fot(d)),bind(X3,$fot(c))]]) ).
cnf(refute_0_12,plain,
( ~ p(c,d,a,g(b))
| p(g(b),a,d,c) ),
inference(subst,[],[clause2:[bind(X,$fot(c)),bind(X1,$fot(d)),bind(X2,$fot(a)),bind(X3,$fot(g(b)))]]) ).
cnf(refute_0_13,plain,
( ~ p(d,a,b,c)
| p(c,d,a,b) ),
inference(subst,[],[clause1:[bind(X,$fot(d)),bind(X1,$fot(a)),bind(X2,$fot(b)),bind(X3,$fot(c))]]) ).
cnf(refute_0_14,plain,
( ~ p(a,b,c,d)
| p(d,a,b,c) ),
inference(subst,[],[clause1:[bind(X,$fot(a)),bind(X1,$fot(b)),bind(X2,$fot(c)),bind(X3,$fot(d))]]) ).
cnf(refute_0_15,plain,
p(d,a,b,c),
inference(resolve,[$cnf( p(a,b,c,d) )],[clause5,refute_0_14]) ).
cnf(refute_0_16,plain,
p(c,d,a,b),
inference(resolve,[$cnf( p(d,a,b,c) )],[refute_0_15,refute_0_13]) ).
cnf(refute_0_17,plain,
( ~ p(c,d,a,b)
| p(c,d,a,g(b)) ),
inference(subst,[],[clause3:[bind(X,$fot(c)),bind(X1,$fot(d)),bind(X2,$fot(a)),bind(X3,$fot(b))]]) ).
cnf(refute_0_18,plain,
p(c,d,a,g(b)),
inference(resolve,[$cnf( p(c,d,a,b) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
p(g(b),a,d,c),
inference(resolve,[$cnf( p(c,d,a,g(b)) )],[refute_0_18,refute_0_12]) ).
cnf(refute_0_20,plain,
p(g(b),a,d,g(c)),
inference(resolve,[$cnf( p(g(b),a,d,c) )],[refute_0_19,refute_0_11]) ).
cnf(refute_0_21,plain,
( ~ p(g(b),a,d,g(c))
| p(f(g(b)),a,d,g(c)) ),
inference(subst,[],[clause4:[bind(X,$fot(g(b))),bind(X1,$fot(a)),bind(X2,$fot(d)),bind(X3,$fot(g(c)))]]) ).
cnf(refute_0_22,plain,
p(f(g(b)),a,d,g(c)),
inference(resolve,[$cnf( p(g(b),a,d,g(c)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
p(g(c),d,a,f(g(b))),
inference(resolve,[$cnf( p(f(g(b)),a,d,g(c)) )],[refute_0_22,refute_0_10]) ).
cnf(refute_0_24,plain,
p(f(g(c)),d,a,f(g(b))),
inference(resolve,[$cnf( p(g(c),d,a,f(g(b))) )],[refute_0_23,refute_0_9]) ).
cnf(refute_0_25,plain,
p(f(g(b)),a,d,f(g(c))),
inference(resolve,[$cnf( p(f(g(c)),d,a,f(g(b))) )],[refute_0_24,refute_0_8]) ).
cnf(refute_0_26,plain,
p(f(g(c)),f(g(b)),a,d),
inference(resolve,[$cnf( p(f(g(b)),a,d,f(g(c))) )],[refute_0_25,refute_0_7]) ).
cnf(refute_0_27,plain,
p(d,f(g(c)),f(g(b)),a),
inference(resolve,[$cnf( p(f(g(c)),f(g(b)),a,d) )],[refute_0_26,refute_0_6]) ).
cnf(refute_0_28,plain,
p(d,f(g(c)),f(g(b)),g(a)),
inference(resolve,[$cnf( p(d,f(g(c)),f(g(b)),a) )],[refute_0_27,refute_0_5]) ).
cnf(refute_0_29,plain,
p(g(a),f(g(b)),f(g(c)),d),
inference(resolve,[$cnf( p(d,f(g(c)),f(g(b)),g(a)) )],[refute_0_28,refute_0_4]) ).
cnf(refute_0_30,plain,
p(g(a),f(g(b)),f(g(c)),g(d)),
inference(resolve,[$cnf( p(g(a),f(g(b)),f(g(c)),d) )],[refute_0_29,refute_0_3]) ).
cnf(refute_0_31,plain,
p(f(g(a)),f(g(b)),f(g(c)),g(d)),
inference(resolve,[$cnf( p(g(a),f(g(b)),f(g(c)),g(d)) )],[refute_0_30,refute_0_2]) ).
cnf(refute_0_32,plain,
p(g(d),f(g(c)),f(g(b)),f(g(a))),
inference(resolve,[$cnf( p(f(g(a)),f(g(b)),f(g(c)),g(d)) )],[refute_0_31,refute_0_1]) ).
cnf(refute_0_33,plain,
p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
inference(resolve,[$cnf( p(g(d),f(g(c)),f(g(b)),f(g(a))) )],[refute_0_32,refute_0_0]) ).
cnf(refute_0_34,plain,
$false,
inference(resolve,[$cnf( p(f(g(d)),f(g(c)),f(g(b)),f(g(a))) )],[refute_0_33,clause6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN311-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 15:14:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 18.25/18.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.25/18.41
% 18.25/18.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.25/18.42
%------------------------------------------------------------------------------