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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU163+3 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n019.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 : Mon Jun 24 15:01:28 EDT 2024

% Result   : Theorem 0.51s 0.61s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU163+3 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Jun 21 15:25:24 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.51/0.58  start to proof:theBenchmark
% 0.51/0.61  %-------------------------------------------
% 0.51/0.61  % File        :CSE---1.7
% 0.51/0.61  % Problem     :theBenchmark
% 0.51/0.61  % Transform   :cnf
% 0.51/0.61  % Format      :tptp:raw
% 0.51/0.61  % Command     :java -jar mcs_scs.jar %d %s
% 0.51/0.61  
% 0.51/0.61  % Result      :Theorem 0.000000s
% 0.51/0.61  % Output      :CNFRefutation 0.000000s
% 0.51/0.61  %-------------------------------------------
% 0.51/0.61  %------------------------------------------------------------------------------
% 0.51/0.61  % File     : SEU163+3 : TPTP v8.2.0. Released v3.2.0.
% 0.51/0.61  % Domain   : Set theory
% 0.51/0.61  % Problem  : Basic properties of sets, theorem 92
% 0.51/0.61  % Version  : [Urb06] axioms : Especial.
% 0.51/0.61  % English  :
% 0.51/0.61  
% 0.51/0.61  % Refs     : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 0.51/0.61  %          : [Urb06] Urban (2006), Email to G. Sutcliffe
% 0.51/0.61  % Source   : [Urb06]
% 0.51/0.61  % Names    : zfmisc_1__t92_zfmisc_1 [Urb06]
% 0.51/0.61  
% 0.51/0.61  % Status   : Theorem
% 0.51/0.61  % Rating   : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.00 v3.2.0
% 0.51/0.61  % Syntax   : Number of formulae    :    6 (   3 unt;   0 def)
% 0.51/0.61  %            Number of atoms       :    9 (   0 equ)
% 0.51/0.61  %            Maximal formula atoms :    2 (   1 avg)
% 0.51/0.61  %            Number of connectives :    5 (   2   ~;   0   |;   0   &)
% 0.51/0.61  %                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
% 0.51/0.61  %            Maximal formula depth :    5 (   4 avg)
% 0.51/0.61  %            Maximal term depth    :    2 (   1 avg)
% 0.51/0.61  %            Number of predicates  :    3 (   3 usr;   0 prp; 1-2 aty)
% 0.51/0.61  %            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
% 0.51/0.61  %            Number of variables   :   10 (   8   !;   2   ?)
% 0.51/0.61  % SPC      : FOF_THM_RFO_NEQ
% 0.51/0.61  
% 0.51/0.61  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.51/0.61  %            library, www.mizar.org
% 0.51/0.61  %------------------------------------------------------------------------------
% 0.51/0.61  fof(reflexivity_r1_tarski,axiom,
% 0.51/0.61      ! [A,B] : subset(A,A) ).
% 0.51/0.61  
% 0.51/0.61  fof(antisymmetry_r2_hidden,axiom,
% 0.51/0.61      ! [A,B] :
% 0.51/0.61        ( in(A,B)
% 0.51/0.61       => ~ in(B,A) ) ).
% 0.51/0.61  
% 0.51/0.61  fof(rc1_xboole_0,axiom,
% 0.51/0.61      ? [A] : empty(A) ).
% 0.51/0.61  
% 0.51/0.61  fof(rc2_xboole_0,axiom,
% 0.51/0.61      ? [A] : ~ empty(A) ).
% 0.51/0.61  
% 0.51/0.61  fof(t92_zfmisc_1,conjecture,
% 0.51/0.61      ! [A,B] :
% 0.51/0.61        ( in(A,B)
% 0.51/0.61       => subset(A,union(B)) ) ).
% 0.51/0.61  
% 0.51/0.61  fof(l50_zfmisc_1,axiom,
% 0.51/0.61      ! [A,B] :
% 0.51/0.61        ( in(A,B)
% 0.51/0.61       => subset(A,union(B)) ) ).
% 0.51/0.61  
% 0.51/0.61  %------------------------------------------------------------------------------
% 0.51/0.61  %-------------------------------------------
% 0.51/0.61  % Proof found
% 0.51/0.61  % SZS status Theorem for theBenchmark
% 0.51/0.61  % SZS output start Proof
% 0.51/0.61  %ClaNum:7(EqnAxiom:0)
% 0.51/0.62  %VarNum:10(SingletonVarNum:5)
% 0.51/0.62  %MaxLitNum:2
% 0.51/0.62  %MaxfuncDepth:1
% 0.51/0.62  %SharedTerms:9
% 0.51/0.62  %goalClause: 2 5
% 0.51/0.62  %singleGoalClaCount:2
% 0.51/0.62  [1]P1(a1)
% 0.51/0.62  [2]P2(a2,a4)
% 0.51/0.62  [4]~P1(a3)
% 0.51/0.62  [5]~P3(a2,f5(a4))
% 0.51/0.62  [3]P3(x31,x31)
% 0.51/0.62  [7]~P2(x72,x71)+~P2(x71,x72)
% 0.51/0.62  [6]~P2(x61,x62)+P3(x61,f5(x62))
% 0.51/0.62  %EqnAxiom
% 0.51/0.62  
% 0.51/0.62  %-------------------------------------------
% 0.51/0.62  cnf(8,plain,
% 0.51/0.62     ($false),
% 0.51/0.62     inference(scs_inference,[],[2,5,6]),
% 0.51/0.62     ['proof']).
% 0.51/0.62  % SZS output end Proof
% 0.51/0.62  % Total time :0.000000s
%------------------------------------------------------------------------------