TSTP Solution File: HWC003-1 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : HWC003-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n018.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 May 20 21:34:58 EDT 2024

% Result   : Unsatisfiable 14.90s 4.18s
% Output   : Refutation 14.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   51
% Syntax   : Number of formulae    :   76 (  39 unt;  27 typ;   0 def)
%            Number of atoms       :   65 (  32 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  720 (  18   ~;  16   |;   0   &; 686   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   42 (  42   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  27 usr;  17 con; 0-10 aty)
%            Number of variables   :  172 (   0   ^ 172   !;   0   ?; 172   :)

% Comments : 
%------------------------------------------------------------------------------
thf(output_type,type,
    output: $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(n0_type,type,
    n0: $i ).

thf(n1_type,type,
    n1: $i ).

thf(list_reversion_type,type,
    list_reversion: $i > $i > $i ).

thf(make_reverse_list_type,type,
    make_reverse_list: $i > $i ).

thf(end_type,type,
    end: $i ).

thf(not_reversion_type,type,
    not_reversion: $i ).

thf(possible_reversion_type,type,
    possible_reversion: $i > $i > $i > $i ).

thf(list_type,type,
    list: $i > $i > $i ).

thf(inverter_table_type,type,
    inverter_table: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(r00m_type,type,
    r00m: $i ).

thf(r01m_type,type,
    r01m: $i ).

thf(r10m_type,type,
    r10m: $i ).

thf(r11m_type,type,
    r11m: $i ).

thf(r0m0_type,type,
    r0m0: $i ).

thf(r0m1_type,type,
    r0m1: $i ).

thf(r1m0_type,type,
    r1m0: $i ).

thf(r1m1_type,type,
    r1m1: $i ).

thf(rm00_type,type,
    rm00: $i ).

thf(rm01_type,type,
    rm01: $i ).

thf(rm10_type,type,
    rm10: $i ).

thf(rm11_type,type,
    rm11: $i ).

thf(add_inverter_type,type,
    add_inverter: $i > $i > $i ).

thf(or_type,type,
    or: $i > $i > $i ).

thf(and_type,type,
    and: $i > $i > $i ).

thf(not_type,type,
    not: $i > $i ).

thf(test_type,type,
    test: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(18,axiom,
    ! [A: $i] :
      ( ( possible_reversion @ A @ n1 @ n0 )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',possible_reversion1) ).

thf(56,plain,
    ! [A: $i] :
      ( ( possible_reversion @ A @ n1 @ n0 )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(16,axiom,
    ( ( not @ n0 )
    = n1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_definition1) ).

thf(52,plain,
    ( ( not @ n0 )
    = n1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ( or @ A @ n0 )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_definition1) ).

thf(46,plain,
    ! [A: $i] :
      ( ( or @ A @ n0 )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(20,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( output @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ( test @ ( not @ A ) @ ( not @ B ) @ ( not @ C ) @ ( not @ D ) @ ( not @ E ) @ ( not @ F ) @ ( not @ G ) @ ( not @ H ) @ ( add_inverter @ I @ ( inverter_table @ ( not @ A ) @ ( not @ B ) @ ( not @ C ) @ ( not @ D ) @ ( not @ E ) @ ( not @ F ) @ ( not @ G ) @ ( not @ H ) ) ) @ ( make_reverse_list @ ( list @ ( inverter_table @ ( not @ A ) @ ( not @ B ) @ ( not @ C ) @ ( not @ D ) @ ( not @ E ) @ ( not @ F ) @ ( not @ G ) @ ( not @ H ) ) @ I ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverter_test) ).

thf(60,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( output @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ( test @ ( not @ A ) @ ( not @ B ) @ ( not @ C ) @ ( not @ D ) @ ( not @ E ) @ ( not @ F ) @ ( not @ G ) @ ( not @ H ) @ ( add_inverter @ I @ ( inverter_table @ ( not @ A ) @ ( not @ B ) @ ( not @ C ) @ ( not @ D ) @ ( not @ E ) @ ( not @ F ) @ ( not @ G ) @ ( not @ H ) ) ) @ ( make_reverse_list @ ( list @ ( inverter_table @ ( not @ A ) @ ( not @ B ) @ ( not @ C ) @ ( not @ D ) @ ( not @ E ) @ ( not @ F ) @ ( not @ G ) @ ( not @ H ) ) @ I ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(17,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( output @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( output @ J @ K @ L @ M @ N @ O @ P @ Q @ I )
      | ( output @ ( or @ A @ J ) @ ( or @ B @ K ) @ ( or @ C @ L ) @ ( or @ D @ M ) @ ( or @ E @ N ) @ ( or @ F @ O ) @ ( or @ G @ P ) @ ( or @ H @ Q ) @ I ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_output_definition) ).

thf(54,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( output @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( output @ J @ K @ L @ M @ N @ O @ P @ Q @ I )
      | ( output @ ( or @ A @ J ) @ ( or @ B @ K ) @ ( or @ C @ L ) @ ( or @ D @ M ) @ ( or @ E @ N ) @ ( or @ F @ O ) @ ( or @ G @ P ) @ ( or @ H @ Q ) @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(23,axiom,
    ( ( not @ n1 )
    = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_definition2) ).

thf(66,plain,
    ( ( not @ n1 )
    = n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( possible_reversion @ A @ n0 @ n1 )
      = not_reversion ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',possible_reversion2) ).

thf(48,plain,
    ! [A: $i] :
      ( ( possible_reversion @ A @ n0 @ n1 )
      = not_reversion ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(15,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( output @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( output @ J @ K @ L @ M @ N @ O @ P @ Q @ I )
      | ( output @ ( and @ A @ J ) @ ( and @ B @ K ) @ ( and @ C @ L ) @ ( and @ D @ M ) @ ( and @ E @ N ) @ ( and @ F @ O ) @ ( and @ G @ P ) @ ( and @ H @ Q ) @ I ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_output_definition) ).

thf(50,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( output @ A @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( output @ J @ K @ L @ M @ N @ O @ P @ Q @ I )
      | ( output @ ( and @ A @ J ) @ ( and @ B @ K ) @ ( and @ C @ L ) @ ( and @ D @ M ) @ ( and @ E @ N ) @ ( and @ F @ O ) @ ( and @ G @ P ) @ ( and @ H @ Q ) @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( and @ A @ n1 )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition2) ).

thf(58,plain,
    ! [A: $i] :
      ( ( and @ A @ n1 )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(11,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( add_inverter @ ( list @ A @ B ) @ C )
      = ( list @ A @ ( add_inverter @ B @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_inverter_definition1) ).

thf(42,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( add_inverter @ ( list @ A @ B ) @ C )
      = ( list @ A @ ( add_inverter @ B @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(1,negated_conjecture,
    ! [A: $i] : ( output @ n0 @ n0 @ n0 @ n0 @ n1 @ n1 @ n1 @ n1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',input1) ).

thf(25,plain,
    ! [A: $i] : ( output @ n0 @ n0 @ n0 @ n0 @ n1 @ n1 @ n1 @ n1 @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(4,negated_conjecture,
    ! [A: $i] :
      ( ~ ( output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ A )
      | ~ ( output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ A )
      | ~ ( output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cannot_construct_this) ).

thf(28,plain,
    ! [A: $i] :
      ( ~ ( output @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ A )
      | ~ ( output @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ A )
      | ~ ( output @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(9,axiom,
    ! [B: $i,A: $i] :
      ( ( possible_reversion @ A @ B @ B )
      = not_reversion ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',possible_reversion3) ).

thf(38,plain,
    ! [B: $i,A: $i] :
      ( ( possible_reversion @ A @ B @ B )
      = not_reversion ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( or @ A @ n1 )
      = n1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_definition2) ).

thf(64,plain,
    ! [A: $i] :
      ( ( or @ A @ n1 )
      = n1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(6,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( list_reversion @ A @ ( list_reversion @ B @ C ) )
      = ( list_reversion @ B @ ( list_reversion @ A @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',list_reversion_definition2) ).

thf(32,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( list_reversion @ A @ ( list_reversion @ B @ C ) )
      = ( list_reversion @ B @ ( list_reversion @ A @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( make_reverse_list @ A )
      = end ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_reverse_list_definition2) ).

thf(34,plain,
    ! [A: $i] :
      ( ( make_reverse_list @ A )
      = end ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(12,axiom,
    ! [B: $i,A: $i] :
      ( ( add_inverter @ A @ B )
      = ( list @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_inverter_definition2) ).

thf(44,plain,
    ! [B: $i,A: $i] :
      ( ( add_inverter @ A @ B )
      = ( list @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(3,negated_conjecture,
    ! [A: $i] : ( output @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',input3) ).

thf(27,plain,
    ! [A: $i] : ( output @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ n0 @ n1 @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(10,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( make_reverse_list @ ( list @ ( inverter_table @ A @ B @ C @ D @ E @ F @ G @ H ) @ I ) )
      = ( list_reversion @ ( possible_reversion @ r00m @ A @ B ) @ ( list_reversion @ ( possible_reversion @ r01m @ C @ D ) @ ( list_reversion @ ( possible_reversion @ r10m @ E @ F ) @ ( list_reversion @ ( possible_reversion @ r11m @ G @ H ) @ ( list_reversion @ ( possible_reversion @ r0m0 @ A @ C ) @ ( list_reversion @ ( possible_reversion @ r0m1 @ B @ D ) @ ( list_reversion @ ( possible_reversion @ r1m0 @ E @ G ) @ ( list_reversion @ ( possible_reversion @ r1m1 @ F @ H ) @ ( list_reversion @ ( possible_reversion @ rm00 @ A @ E ) @ ( list_reversion @ ( possible_reversion @ rm01 @ B @ F ) @ ( list_reversion @ ( possible_reversion @ rm10 @ C @ G ) @ ( list_reversion @ ( possible_reversion @ rm11 @ D @ H ) @ ( make_reverse_list @ I ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_reverse_list_definition1) ).

thf(40,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( make_reverse_list @ ( list @ ( inverter_table @ A @ B @ C @ D @ E @ F @ G @ H ) @ I ) )
      = ( list_reversion @ ( possible_reversion @ r00m @ A @ B ) @ ( list_reversion @ ( possible_reversion @ r01m @ C @ D ) @ ( list_reversion @ ( possible_reversion @ r10m @ E @ F ) @ ( list_reversion @ ( possible_reversion @ r11m @ G @ H ) @ ( list_reversion @ ( possible_reversion @ r0m0 @ A @ C ) @ ( list_reversion @ ( possible_reversion @ r0m1 @ B @ D ) @ ( list_reversion @ ( possible_reversion @ r1m0 @ E @ G ) @ ( list_reversion @ ( possible_reversion @ r1m1 @ F @ H ) @ ( list_reversion @ ( possible_reversion @ rm00 @ A @ E ) @ ( list_reversion @ ( possible_reversion @ rm01 @ B @ F ) @ ( list_reversion @ ( possible_reversion @ rm10 @ C @ G ) @ ( list_reversion @ ( possible_reversion @ rm11 @ D @ H ) @ ( make_reverse_list @ I ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( output @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',input2) ).

thf(26,plain,
    ! [A: $i] : ( output @ n0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n1 @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( list_reversion @ not_reversion @ A )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',list_reversion_definition1) ).

thf(36,plain,
    ! [A: $i] :
      ( ( list_reversion @ not_reversion @ A )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(5,axiom,
    ! [B: $i,A: $i] :
      ( ( list_reversion @ A @ ( list_reversion @ A @ B ) )
      = ( list_reversion @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',list_reversion_definition3) ).

thf(30,plain,
    ! [B: $i,A: $i] :
      ( ( list_reversion @ A @ ( list_reversion @ A @ B ) )
      = ( list_reversion @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( and @ A @ n0 )
      = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition1) ).

thf(68,plain,
    ! [A: $i] :
      ( ( and @ A @ n0 )
      = n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(21,axiom,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( test @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ( output @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',create_test) ).

thf(62,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( test @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J )
      | ( output @ A @ B @ C @ D @ E @ F @ G @ H @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(525,plain,
    $false,
    inference(e,[status(thm)],[56,52,46,60,54,66,48,50,58,42,25,28,38,64,32,34,44,27,40,26,36,30,68,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HWC003-1 : TPTP v8.2.0. Released v1.1.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun May 19 00:13:23 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.88/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.22/0.97  % [INFO] 	 Parsing done (125ms). 
% 1.22/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.77/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.77/1.20  % [INFO] 	 cvc4 registered as external prover. 
% 1.77/1.21  % [INFO] 	 Scanning for conjecture ... 
% 1.90/1.28  % [INFO] 	 Found a conjecture (or negated_conjecture) and 20 axioms. Running axiom selection ... 
% 2.11/1.32  % [INFO] 	 Axiom selection finished. Selected 20 axioms (removed 0 axioms). 
% 2.11/1.35  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.11/1.36  % [INFO] 	 Type checking passed. 
% 2.11/1.36  % [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 ... 
% 14.90/4.18  % External prover 'e' found a proof!
% 14.90/4.18  % [INFO] 	 Killing All external provers ... 
% 14.90/4.18  % Time passed: 3670ms (effective reasoning time: 3198ms)
% 14.90/4.18  % Axioms used in derivation (20): list_reversion_definition3, possible_reversion1, add_inverter_definition1, and_definition1, possible_reversion2, or_definition1, create_test, make_reverse_list_definition2, make_reverse_list_definition1, or_definition2, list_reversion_definition1, not_definition1, and_output_definition, or_output_definition, inverter_test, possible_reversion3, and_definition2, list_reversion_definition2, add_inverter_definition2, not_definition2
% 14.90/4.18  % No. of inferences in proof: 49
% 14.90/4.18  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3670 ms resp. 3198 ms w/o parsing
% 14.90/4.21  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.90/4.21  % [INFO] 	 Killing All external provers ... 
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