↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SEU040+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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  : 300s
% DateTime : Fri Jul 25 03:44:24 PM UTC 2025

% Result   : Theorem 0.08s 0.29s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   23 (   9   ~;   6   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t76_funct_1,plain,
    ! [A,B] :
      ( ( relation(B)
        & function(B) )
     => ( subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
        & subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_funct_1) ).

fof(t76_funct_1_negated,plain,
    ~ ! [A,B] :
        ( ( relation(B)
          & function(B) )
       => ( subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B))
          & subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ) ),
    inference(negate_conjecture,[status(cth)],[t76_funct_1]) ).

cnf(53,plain,
    relation(sK13),
    inference(cnf,[status(esa)],[t76_funct_1_negated]) ).

cnf(l0,plain,
    relation(sK13),
    inference(instantiation,[status(thm)],[53]) ).

fof(t89_relat_1,plain,
    ! [A,B] :
      ( relation(B)
     => subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_relat_1) ).

cnf(56,plain,
    ( ~ relation(X0)
    | subset(relation_dom(relation_dom_restriction(X0,X1)),relation_dom(X0)) ),
    inference(cnf,[status(esa)],[t89_relat_1]) ).

cnf(l1,plain,
    ( ~ relation(sK13)
    | subset(relation_dom(relation_dom_restriction(sK13,sK12)),relation_dom(sK13)) ),
    inference(instantiation,[status(thm)],[56]) ).

cnf(55,plain,
    ( ~ subset(relation_dom(relation_dom_restriction(sK13,sK12)),relation_dom(sK13))
    | ~ subset(relation_rng(relation_dom_restriction(sK13,sK12)),relation_rng(sK13)) ),
    inference(cnf,[status(esa)],[t76_funct_1_negated]) ).

cnf(l2,plain,
    ( ~ subset(relation_dom(relation_dom_restriction(sK13,sK12)),relation_dom(sK13))
    | ~ subset(relation_rng(relation_dom_restriction(sK13,sK12)),relation_rng(sK13)) ),
    inference(instantiation,[status(thm)],[55]) ).

fof(t99_relat_1,plain,
    ! [A,B] :
      ( relation(B)
     => subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).

cnf(57,plain,
    ( ~ relation(X0)
    | subset(relation_rng(relation_dom_restriction(X0,X1)),relation_rng(X0)) ),
    inference(cnf,[status(esa)],[t99_relat_1]) ).

cnf(l3,plain,
    ( ~ relation(sK13)
    | subset(relation_rng(relation_dom_restriction(sK13,sK12)),relation_rng(sK13)) ),
    inference(instantiation,[status(thm)],[57]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU040+1 : TPTP v9.0.0. Released v3.2.0.
% 0.00/0.09  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29  % Computer : n020.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 300
% 0.08/0.29  % DateTime : Mon Jul 21 23:17:34 EDT 2025
% 0.08/0.29  % CPUTime  : 
% 0.08/0.29  % launching worker at depth: 1
% 0.08/0.29  % launching worker at depth: 6
% 0.08/0.29  % launching worker at depth: 2
% 0.08/0.29  % launching worker at depth: 7
% 0.08/0.29  % launching worker at depth: 4
% 0.08/0.29  % launching worker at depth: 5
% 0.08/0.29  % launching worker at depth: 3
% 0.08/0.29  % launching worker at depth: 8
% 0.08/0.29  % SZS status Theorem for theBenchmark
% 0.08/0.29  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------