TSTP Solution File: KLE076+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 : Thu Aug 31 05:32:01 EDT 2023

% Result   : Theorem 1.15s 1.19s
% Output   : CNFRefutation 1.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  16 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn;   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).

fof(f16,axiom,
    zero = domain(zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).

fof(f18,conjecture,
    ! [X3] : zero = domain(multiplication(X3,domain(zero))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f19,negated_conjecture,
    ~ ! [X3] : zero = domain(multiplication(X3,domain(zero))),
    inference(negated_conjecture,[],[f18]) ).

fof(f25,plain,
    ~ ! [X0] : zero = domain(multiplication(X0,domain(zero))),
    inference(rectify,[],[f19]) ).

fof(f26,plain,
    ? [X0] : zero != domain(multiplication(X0,domain(zero))),
    inference(ennf_transformation,[],[f25]) ).

fof(f27,plain,
    ( ? [X0] : zero != domain(multiplication(X0,domain(zero)))
   => zero != domain(multiplication(sK0,domain(zero))) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    zero != domain(multiplication(sK0,domain(zero))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).

fof(f38,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f43,plain,
    zero = domain(zero),
    inference(cnf_transformation,[],[f16]) ).

fof(f45,plain,
    zero != domain(multiplication(sK0,domain(zero))),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_58,plain,
    multiplication(X0,zero) = zero,
    inference(cnf_transformation,[],[f38]) ).

cnf(c_63,plain,
    domain(zero) = zero,
    inference(cnf_transformation,[],[f43]) ).

cnf(c_65,negated_conjecture,
    domain(multiplication(sK0,domain(zero))) != zero,
    inference(cnf_transformation,[],[f45]) ).

cnf(c_115,plain,
    domain(multiplication(sK0,zero)) != zero,
    inference(light_normalisation,[status(thm)],[c_65,c_63]) ).

cnf(c_116,plain,
    zero != zero,
    inference(demodulation,[status(thm)],[c_115,c_58,c_63]) ).

cnf(c_117,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_116]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Aug 29 11:36:11 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.15/1.19  % SZS status Started for theBenchmark.p
% 1.15/1.19  % SZS status Theorem for theBenchmark.p
% 1.15/1.19  
% 1.15/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.15/1.19  
% 1.15/1.19  ------  iProver source info
% 1.15/1.19  
% 1.15/1.19  git: date: 2023-05-31 18:12:56 +0000
% 1.15/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.15/1.19  git: non_committed_changes: false
% 1.15/1.19  git: last_make_outside_of_git: false
% 1.15/1.19  
% 1.15/1.19  ------ Parsing...
% 1.15/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.15/1.19  
% 1.15/1.19  ------ Preprocessing...
% 1.15/1.19  
% 1.15/1.19  % SZS status Theorem for theBenchmark.p
% 1.15/1.19  
% 1.15/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.19  
% 1.15/1.19  
%------------------------------------------------------------------------------