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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SWW469+1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n015.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 18:09:27 EDT 2024

% Result   : Theorem 0.54s 0.65s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWW469+1 : TPTP v8.2.0. Released v5.3.0.
% 0.04/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 04:49:24 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.54/0.56  start to proof:theBenchmark
% 0.54/0.65  %-------------------------------------------
% 0.54/0.65  % File        :CSE---1.7
% 0.54/0.65  % Problem     :theBenchmark
% 0.54/0.65  % Transform   :cnf
% 0.54/0.65  % Format      :tptp:raw
% 0.54/0.65  % Command     :java -jar mcs_scs.jar %d %s
% 0.54/0.65  
% 0.54/0.65  % Result      :Theorem 0.050000s
% 0.54/0.65  % Output      :CNFRefutation 0.050000s
% 0.54/0.65  %-------------------------------------------
% 0.54/0.65  %------------------------------------------------------------------------------
% 0.54/0.65  % File     : SWW469+1 : TPTP v8.2.0. Released v5.3.0.
% 0.54/0.65  % Domain   : Software Verification
% 0.54/0.65  % Problem  : Hoare's Logic with Procedures line 112, 100 axioms selected
% 0.54/0.65  % Version  : Especial.
% 0.54/0.65  % English  :
% 0.54/0.65  
% 0.54/0.65  % Refs     : [BN10]  Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.54/0.65  %          : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 0.54/0.65  % Source   : [Bla11]
% 0.54/0.65  % Names    : hoare_100_fofmg_l112 [Bla11]
% 0.54/0.65  
% 0.54/0.65  % Status   : Theorem
% 0.54/0.65  % Rating   : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.04 v6.3.0, 0.00 v6.2.0, 0.08 v6.1.0, 0.07 v6.0.0, 0.00 v5.3.0
% 0.54/0.65  % Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
% 0.54/0.65  %            Number of atoms       :   12 (   2 equ)
% 0.54/0.65  %            Maximal formula atoms :    4 (   1 avg)
% 0.54/0.65  %            Number of connectives :    8 (   3   ~;   0   |;   2   &)
% 0.54/0.65  %                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
% 0.54/0.65  %            Maximal formula depth :    7 (   3 avg)
% 0.54/0.65  %            Maximal term depth    :    2 (   1 avg)
% 0.54/0.65  %            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
% 0.54/0.65  %            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
% 0.54/0.65  %            Number of variables   :    4 (   2   !;   2   ?)
% 0.54/0.65  % SPC      : FOF_THM_RFO_SEQ
% 0.54/0.65  
% 0.54/0.65  % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 0.54/0.65  %            2011-08-09 15:17:50
% 0.54/0.65  %          : Encoded with monomorphized guards.
% 0.54/0.65  %------------------------------------------------------------------------------
% 0.54/0.65  %----Explicit typings (1)
% 0.54/0.65  fof(gsy_c_HOL_Oundefined_000tc__Com__Ostate,axiom,
% 0.54/0.65      is_state(undefined_state(state)) ).
% 0.54/0.65  
% 0.54/0.65  %----Relevant facts (4)
% 0.54/0.65  fof(fact_0_state__not__singleton__def,axiom,
% 0.54/0.65      ( hoare_165779456gleton
% 0.54/0.65    <=> ? [S,T] :
% 0.54/0.65          ( is_state(S)
% 0.54/0.65          & is_state(T)
% 0.54/0.65          & S != T ) ) ).
% 0.54/0.65  
% 0.54/0.65  fof(fact_1_induct__false__def,axiom,
% 0.54/0.65      ~ induct_false ).
% 0.54/0.65  
% 0.54/0.65  fof(fact_2_induct__trueI,axiom,
% 0.54/0.65      induct_true ).
% 0.54/0.65  
% 0.54/0.65  fof(fact_3_induct__true__def,axiom,
% 0.54/0.65      induct_true ).
% 0.54/0.65  
% 0.54/0.65  %----Conjectures (2)
% 0.54/0.65  fof(conj_0,hypothesis,
% 0.54/0.65      hoare_165779456gleton ).
% 0.54/0.65  
% 0.54/0.65  fof(conj_1,conjecture,
% 0.54/0.65      ! [T] :
% 0.54/0.65        ( is_state(T)
% 0.54/0.65       => ~ ! [S] :
% 0.54/0.65              ( is_state(S)
% 0.54/0.65             => S = T ) ) ).
% 0.54/0.65  
% 0.54/0.65  %------------------------------------------------------------------------------
% 0.54/0.65  %-------------------------------------------
% 0.54/0.65  % Proof found
% 0.54/0.65  % SZS status Theorem for theBenchmark
% 0.54/0.65  % SZS output start Proof
% 0.54/0.65  %ClaNum:19(EqnAxiom:8)
% 0.54/0.65  %VarNum:2(SingletonVarNum:1)
% 0.54/0.65  %MaxLitNum:2
% 0.54/0.65  %MaxfuncDepth:1
% 0.54/0.66  %SharedTerms:15
% 0.54/0.66  %goalClause: 12 18
% 0.54/0.66  %singleGoalClaCount:1
% 0.54/0.66  [9]P1(a5000)
% 0.54/0.66  [11]P2(a5000)
% 0.54/0.66  [12]P4(a1)
% 0.54/0.66  [14]~P3(a5000)
% 0.54/0.66  [13]P4(f5(a4))
% 0.54/0.66  [15]~E(a2,a3)+~P1(a5000)
% 0.54/0.66  [16]P4(a3)+~P1(a5000)
% 0.54/0.66  [17]P4(a2)+~P1(a5000)
% 0.54/0.66  [18]~P4(x181)+E(x181,a1)
% 0.54/0.66  %EqnAxiom
% 0.54/0.66  [1]E(x11,x11)
% 0.54/0.66  [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.66  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.66  [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.54/0.66  [5]~P1(x51)+P1(x52)+~E(x51,x52)
% 0.54/0.66  [6]~P2(x61)+P2(x62)+~E(x61,x62)
% 0.54/0.66  [7]~P4(x71)+P4(x72)+~E(x71,x72)
% 0.54/0.66  [8]~P3(x81)+P3(x82)+~E(x81,x82)
% 0.54/0.66  
% 0.54/0.66  %-------------------------------------------
% 0.54/0.66  cnf(20,plain,
% 0.54/0.66     (~E(a2,a3)),
% 0.54/0.66     inference(scs_inference,[],[9,15])).
% 0.54/0.66  cnf(21,plain,
% 0.54/0.66     (P4(a3)),
% 0.54/0.66     inference(scs_inference,[],[9,16])).
% 0.54/0.66  cnf(22,plain,
% 0.54/0.66     (P4(a2)),
% 0.54/0.66     inference(scs_inference,[],[9,17])).
% 0.54/0.66  cnf(59,plain,
% 0.54/0.66     (~E(x591,a2)+~E(a3,x591)),
% 0.54/0.66     inference(scs_inference,[],[20,2,3])).
% 0.54/0.66  cnf(61,plain,
% 0.54/0.66     (~E(a2,x611)+~E(a3,x611)),
% 0.54/0.66     inference(scs_inference,[],[2,59])).
% 0.54/0.66  cnf(62,plain,
% 0.54/0.66     (~E(a2,a1)),
% 0.54/0.66     inference(scs_inference,[],[21,61,18])).
% 0.54/0.66  cnf(63,plain,
% 0.54/0.66     ($false),
% 0.54/0.66     inference(scs_inference,[],[22,62,18]),
% 0.54/0.66     ['proof']).
% 0.54/0.66  % SZS output end Proof
% 0.54/0.66  % Total time :0.050000s
%------------------------------------------------------------------------------