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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LCL460+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 12:13:52 PM UTC 2026

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   4   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   1 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(rosser_kn2,plain,
    kn2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn2) ).

fof(rosser_kn2_negated,plain,
    ~ kn2,
    inference(negate_conjecture,[status(cth)],[rosser_kn2]) ).

cnf(81,plain,
    ~ kn2,
    inference(cnf,[status(esa)],[rosser_kn2_negated]) ).

cnf(l0,plain,
    ~ kn2,
    inference(instantiation,[status(thm)],[81]) ).

fof(kn2,plain,
    ( kn2
  <=> ! [P,Q] : is_a_theorem(implies(and(P,Q),P)) ),
    file('Axioms/LCL006+0.ax',kn2) ).

cnf(36,plain,
    ( ~ is_a_theorem(implies(and(sK34,sK35),sK34))
    | kn2 ),
    inference(cnf,[status(esa)],[kn2]) ).

cnf(l1,plain,
    ( ~ is_a_theorem(implies(and(sK34,sK35),sK34))
    | kn2 ),
    inference(instantiation,[status(thm)],[36]) ).

fof(and_1,plain,
    ( and_1
  <=> ! [X,Y] : is_a_theorem(implies(and(X,Y),X)) ),
    file('Axioms/LCL006+0.ax',and_1) ).

cnf(15,plain,
    ( ~ and_1
    | is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(cnf,[status(esa)],[and_1]) ).

cnf(l2,plain,
    ( ~ and_1
    | is_a_theorem(implies(and(sK34,sK35),sK34)) ),
    inference(instantiation,[status(thm)],[15]) ).

fof(hilbert_and_1,plain,
    and_1,
    file('Axioms/LCL006+2.ax',hilbert_and_1) ).

cnf(68,plain,
    and_1,
    inference(cnf,[status(esa)],[hilbert_and_1]) ).

cnf(l3,plain,
    and_1,
    inference(instantiation,[status(thm)],[68]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL460+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n027.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sat Sep  5 10:30:43 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.36  % launching worker at depth: 1
% 0.10/0.36  % launching worker at depth: 3
% 0.10/0.36  % launching worker at depth: 7
% 0.10/0.36  % launching worker at depth: 8
% 0.10/0.36  % launching worker at depth: 5
% 0.10/0.36  % launching worker at depth: 6
% 0.10/0.36  % launching worker at depth: 2
% 0.10/0.36  % launching worker at depth: 4
% 0.14/0.36  % SZS status Theorem for theBenchmark
% 0.14/0.36  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------