TSTP Solution File: SYN285-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN285-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n009.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 09:00:58 EDT 2022

% Result   : Unsatisfiable 0.36s 0.52s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   34 (   0 equ;  17 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   11 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
    s0(d) ).

cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(axiom_20,axiom,
    l0(a) ).

cnf(axiom_32,axiom,
    k0(b) ).

cnf(rule_099,axiom,
    ( q1(E,F,F)
    | ~ k0(G)
    | ~ l0(E)
    | ~ q1(F,F,G) ) ).

cnf(rule_105,axiom,
    ( q1(C,C,D)
    | ~ s0(C)
    | ~ p0(D,d) ) ).

cnf(prove_this,negated_conjecture,
    ~ q1(a,d,d) ).

cnf(refute_0_0,plain,
    p0(b,d),
    inference(subst,[],[axiom_14:[bind(X,$fot(d))]]) ).

cnf(refute_0_1,plain,
    ( ~ p0(b,d)
    | ~ s0(X_187)
    | q1(X_187,X_187,b) ),
    inference(subst,[],[rule_105:[bind(C,$fot(X_187)),bind(D,$fot(b))]]) ).

cnf(refute_0_2,plain,
    ( ~ s0(X_187)
    | q1(X_187,X_187,b) ),
    inference(resolve,[$cnf( p0(b,d) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ s0(d)
    | q1(d,d,b) ),
    inference(subst,[],[refute_0_2:[bind(X_187,$fot(d))]]) ).

cnf(refute_0_4,plain,
    q1(d,d,b),
    inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ k0(b)
    | ~ l0(X_582)
    | ~ q1(d,d,b)
    | q1(X_582,d,d) ),
    inference(subst,[],[rule_099:[bind(E,$fot(X_582)),bind(F,$fot(d)),bind(G,$fot(b))]]) ).

cnf(refute_0_6,plain,
    ( ~ k0(b)
    | ~ l0(X_582)
    | q1(X_582,d,d) ),
    inference(resolve,[$cnf( q1(d,d,b) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ l0(X_582)
    | q1(X_582,d,d) ),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ l0(a)
    | q1(a,d,d) ),
    inference(subst,[],[refute_0_7:[bind(X_582,$fot(a))]]) ).

cnf(refute_0_9,plain,
    q1(a,d,d),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( q1(a,d,d) )],[refute_0_9,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN285-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n009.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 16:48:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.36/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.52  
% 0.36/0.52  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.36/0.52  
%------------------------------------------------------------------------------