%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 May  3 02:59:44 EDT 2024

% Result   : Theorem 1.23s 1.20s
% Output   : CNFRefutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  13 unt;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).

fof(f44,conjecture,
    ! [X0] : member(singleton(X0),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).

fof(f45,negated_conjecture,
    ~ ! [X0] : member(singleton(X0),universal_class),
    inference(negated_conjecture,[],[f44]) ).

fof(f84,plain,
    ? [X0] : ~ member(singleton(X0),universal_class),
    inference(ennf_transformation,[],[f45]) ).

fof(f133,plain,
    ( ? [X0] : ~ member(singleton(X0),universal_class)
   => ~ member(singleton(sK6),universal_class) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ~ member(singleton(sK6),universal_class),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f84,f133]) ).

fof(f146,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f222,plain,
    ~ member(singleton(sK6),universal_class),
    inference(cnf_transformation,[],[f134]) ).

fof(f260,plain,
    ~ member(unordered_pair(sK6,sK6),universal_class),
    inference(definition_unfolding,[],[f222,f147]) ).

cnf(c_60,plain,
    member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_128,negated_conjecture,
    ~ member(unordered_pair(sK6,sK6),universal_class),
    inference(cnf_transformation,[],[f260]) ).

cnf(c_203,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_128,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 20:06:21 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.23/1.20  % SZS status Started for theBenchmark.p
% 1.23/1.20  % SZS status Theorem for theBenchmark.p
% 1.23/1.20  
% 1.23/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.23/1.20  
% 1.23/1.20  ------  iProver source info
% 1.23/1.20  
% 1.23/1.20  git: date: 2024-05-02 19:28:25 +0000
% 1.23/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.23/1.20  git: non_committed_changes: false
% 1.23/1.20  
% 1.23/1.20  ------ Parsing...
% 1.23/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.23/1.20  
% 1.23/1.20  ------ Preprocessing...
% 1.23/1.20  
% 1.23/1.20  % SZS status Theorem for theBenchmark.p
% 1.23/1.20  
% 1.23/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.23/1.20  
% 1.23/1.20  
%------------------------------------------------------------------------------