TSTP Solution File: SYN249-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN249-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 09:00:43 EDT 2022
% Result : Unsatisfiable 0.35s 0.52s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 9 unt; 0 nHn; 16 RR)
% Number of literals : 29 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_3,axiom,
n0(d,e) ).
cnf(axiom_17,axiom,
q0(X,d) ).
cnf(axiom_37,axiom,
n0(b,a) ).
cnf(rule_001,axiom,
( k1(I)
| ~ n0(J,I) ) ).
cnf(rule_034,axiom,
( m1(A,B,B)
| ~ k1(a)
| ~ k1(B)
| ~ q0(A,A) ) ).
cnf(prove_this,negated_conjecture,
~ m1(d,e,e) ).
cnf(refute_0_0,plain,
( ~ n0(d,e)
| k1(e) ),
inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).
cnf(refute_0_1,plain,
k1(e),
inference(resolve,[$cnf( n0(d,e) )],[axiom_3,refute_0_0]) ).
cnf(refute_0_2,plain,
q0(d,d),
inference(subst,[],[axiom_17:[bind(X,$fot(d))]]) ).
cnf(refute_0_3,plain,
( ~ n0(b,a)
| k1(a) ),
inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).
cnf(refute_0_4,plain,
k1(a),
inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ k1(B)
| ~ q0(A,A)
| m1(A,B,B) ),
inference(resolve,[$cnf( k1(a) )],[refute_0_4,rule_034]) ).
cnf(refute_0_6,plain,
( ~ k1(X_333)
| ~ q0(d,d)
| m1(d,X_333,X_333) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(d)),bind(B,$fot(X_333))]]) ).
cnf(refute_0_7,plain,
( ~ k1(X_333)
| m1(d,X_333,X_333) ),
inference(resolve,[$cnf( q0(d,d) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ k1(e)
| m1(d,e,e) ),
inference(subst,[],[refute_0_7:[bind(X_333,$fot(e))]]) ).
cnf(refute_0_9,plain,
m1(d,e,e),
inference(resolve,[$cnf( k1(e) )],[refute_0_1,refute_0_8]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( m1(d,e,e) )],[refute_0_9,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN249-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 11:43:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.35/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.52
% 0.35/0.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.35/0.52
%------------------------------------------------------------------------------