TSTP Solution File: SWW962+1 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWW962+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.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 : Tue May 21 06:54:13 EDT 2024

% Result   : Theorem 20.80s 5.16s
% Output   : Refutation 20.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   38 (  27 unt;   9 typ;   0 def)
%            Number of atoms       :   33 (  24 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  124 (  10   ~;   2   |;   0   &; 112   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   50 (   0   ^  50   !;   0   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pred_attacker_type,type,
    pred_attacker: $i > $o ).

thf(tuple_2_type,type,
    tuple_2: $i > $i > $i ).

thf(name_Nb_type,type,
    name_Nb: $i > $i ).

thf(name_objective_type,type,
    name_objective: $i ).

thf(name_B_type,type,
    name_B: $i ).

thf(tuple_assoc_pair_type,type,
    tuple_assoc_pair: $i > $i > $i ).

thf(constr_assoc_pair_2_get_0x30_type,type,
    constr_assoc_pair_2_get_0x30: $i > $i ).

thf(constr_assoc_pair_2_get_1_type,type,
    constr_assoc_pair_2_get_1: $i > $i ).

thf(sk1_type,type,
    sk1: $i ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ A @ B ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

thf(229,plain,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ A @ B ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(230,plain,
    ! [B: $i,A: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ A @ B ) )
      = A ),
    inference(cnf,[status(esa)],[229]) ).

thf(231,plain,
    ! [B: $i,A: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ ( tuple_assoc_pair @ A @ B ) )
      = A ),
    inference(lifteq,[status(thm)],[230]) ).

thf(5,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( tuple_assoc_pair @ A @ ( tuple_assoc_pair @ B @ C ) )
      = ( tuple_assoc_pair @ ( tuple_assoc_pair @ A @ B ) @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

thf(186,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( tuple_assoc_pair @ A @ ( tuple_assoc_pair @ B @ C ) )
      = ( tuple_assoc_pair @ ( tuple_assoc_pair @ A @ B ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(187,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( tuple_assoc_pair @ A @ ( tuple_assoc_pair @ B @ C ) )
      = ( tuple_assoc_pair @ ( tuple_assoc_pair @ A @ B ) @ C ) ),
    inference(cnf,[status(esa)],[186]) ).

thf(188,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( tuple_assoc_pair @ ( tuple_assoc_pair @ A @ B ) @ C )
      = ( tuple_assoc_pair @ A @ ( tuple_assoc_pair @ B @ C ) ) ),
    inference(lifteq,[status(thm)],[187]) ).

thf(34,axiom,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ A @ B ) )
      = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

thf(271,plain,
    ! [A: $i,B: $i] :
      ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ A @ B ) )
      = B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(272,plain,
    ! [B: $i,A: $i] :
      ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ A @ B ) )
      = B ),
    inference(cnf,[status(esa)],[271]) ).

thf(273,plain,
    ! [B: $i,A: $i] :
      ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ A @ B ) )
      = B ),
    inference(lifteq,[status(thm)],[272]) ).

thf(627,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ A @ ( tuple_assoc_pair @ B @ C ) ) )
        = E )
      | ( ( tuple_assoc_pair @ ( tuple_assoc_pair @ A @ B ) @ C )
       != ( tuple_assoc_pair @ D @ E ) ) ),
    inference(paramod_ordered,[status(thm)],[188,273]) ).

thf(628,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ B @ ( tuple_assoc_pair @ C @ A ) ) )
      = A ),
    inference(pattern_uni,[status(thm)],[627:[bind(A,$thf( F )),bind(B,$thf( G )),bind(C,$thf( C )),bind(D,$thf( tuple_assoc_pair @ F @ G )),bind(E,$thf( C ))]]) ).

thf(629,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( constr_assoc_pair_2_get_1 @ ( tuple_assoc_pair @ B @ ( tuple_assoc_pair @ C @ A ) ) )
      = A ),
    inference(simp,[status(thm)],[628]) ).

thf(1161,plain,
    ! [B: $i,A: $i] :
      ( ( tuple_assoc_pair @ B @ A )
      = A ),
    inference(rewrite,[status(thm)],[629,273]) ).

thf(1164,plain,
    ! [B: $i,A: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ B )
      = A ),
    inference(rewrite,[status(thm)],[231,1161]) ).

thf(148,axiom,
    pred_attacker @ name_B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).

thf(550,plain,
    pred_attacker @ name_B,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).

thf(1,conjecture,
    ! [A: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ A ) @ name_objective ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ A ) @ name_objective ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(178,plain,
    ~ ! [A: $i] : ( pred_attacker @ ( tuple_2 @ ( name_Nb @ A ) @ name_objective ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(179,plain,
    ~ ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sk1 ) @ name_objective ) ),
    inference(cnf,[status(esa)],[178]) ).

thf(634,plain,
    ( ( pred_attacker @ ( tuple_2 @ ( name_Nb @ sk1 ) @ name_objective ) )
   != ( pred_attacker @ name_B ) ),
    inference(paramod_ordered,[status(thm)],[550,179]) ).

thf(635,plain,
    ( ( tuple_2 @ ( name_Nb @ sk1 ) @ name_objective )
   != name_B ),
    inference(simp,[status(thm)],[634]) ).

thf(1410,plain,
    ! [B: $i,A: $i] :
      ( ( ( constr_assoc_pair_2_get_0x30 @ B )
       != name_B )
      | ( A
       != ( tuple_2 @ ( name_Nb @ sk1 ) @ name_objective ) ) ),
    inference(paramod_ordered,[status(thm)],[1164,635]) ).

thf(1411,plain,
    ! [A: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ A )
     != name_B ),
    inference(pattern_uni,[status(thm)],[1410:[bind(A,$thf( tuple_2 @ ( name_Nb @ sk1 ) @ name_objective )),bind(B,$thf( B ))]]) ).

thf(1446,plain,
    ! [A: $i] :
      ( ( constr_assoc_pair_2_get_0x30 @ A )
     != name_B ),
    inference(simp,[status(thm)],[1411]) ).

thf(1499,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[1446,1164]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWW962+1 : TPTP v8.2.0. Released v7.4.0.
% 0.11/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.32  % Computer : n026.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sat May 18 20:15:09 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 1.00/0.99  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.68/1.22  % [INFO] 	 Parsing done (227ms). 
% 1.73/1.23  % [INFO] 	 Running in sequential loop mode. 
% 2.30/1.62  % [INFO] 	 nitpick registered as external prover. 
% 2.30/1.63  % [INFO] 	 Scanning for conjecture ... 
% 2.47/1.75  % [INFO] 	 Found a conjecture (or negated_conjecture) and 176 axioms. Running axiom selection ... 
% 2.75/1.87  % [INFO] 	 Axiom selection finished. Selected 175 axioms (removed 1 axioms). 
% 3.12/1.99  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.37/2.01  % [INFO] 	 Type checking passed. 
% 3.37/2.01  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 20.80/5.16  % [INFO] 	 Killing All external provers ... 
% 20.80/5.16  % Time passed: 4679ms (effective reasoning time: 3922ms)
% 20.80/5.16  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 20.80/5.16  % Axioms used in derivation (4): ax86, ax82, ax85, ax159
% 20.80/5.16  % No. of inferences in proof: 29
% 20.80/5.16  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4679 ms resp. 3922 ms w/o parsing
% 20.80/5.20  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.80/5.20  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------