TSTP Solution File: COM002-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : COM002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% 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  : 600s
% DateTime : Fri Jul 15 01:28:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  118 (  73 unt;  26 typ;   0 def)
%            Number of atoms       :  336 (  92 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  488 (  57   ~;  60   |;   0   &; 371   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  26 usr;  18 con; 0-2 aty)
%            Number of variables   :  107 (   0   ^ 107   !;   0   ?; 107   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_assign,type,
    assign: $i > $i > $i ).

thf(tp_equal_function,type,
    equal_function: $i > $i > $i ).

thf(tp_follows,type,
    follows: $i > $i > $o ).

thf(tp_goto,type,
    goto: $i > $i ).

thf(tp_has,type,
    has: $i > $i > $o ).

thf(tp_ifthen,type,
    ifthen: $i > $i > $i ).

thf(tp_labels,type,
    labels: $i > $i > $o ).

thf(tp_loop,type,
    loop: $i ).

thf(tp_n,type,
    n: $i ).

thf(tp_n0,type,
    n0: $i ).

thf(tp_n1,type,
    n1: $i ).

thf(tp_n2,type,
    n2: $i ).

thf(tp_out,type,
    out: $i ).

thf(tp_p1,type,
    p1: $i ).

thf(tp_p2,type,
    p2: $i ).

thf(tp_p3,type,
    p3: $i ).

thf(tp_p4,type,
    p4: $i ).

thf(tp_p5,type,
    p5: $i ).

thf(tp_p6,type,
    p6: $i ).

thf(tp_p7,type,
    p7: $i ).

thf(tp_p8,type,
    p8: $i ).

thf(tp_plus,type,
    plus: $i > $i > $i ).

thf(tp_register_j,type,
    register_j: $i ).

thf(tp_register_k,type,
    register_k: $i ).

thf(tp_succeeds,type,
    succeeds: $i > $i > $o ).

thf(tp_times,type,
    times: $i > $i > $i ).

thf(1,axiom,
    ! [Goal_state: $i,Start_state: $i,Condition: $i] :
      ( ( succeeds @ Goal_state @ Start_state )
      | ~ ( has @ Start_state @ ( ifthen @ Condition @ Goal_state ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conditional_success) ).

thf(2,axiom,
    ! [Goal_state: $i,Start_state: $i,Label: $i] :
      ( ( succeeds @ Goal_state @ Start_state )
      | ~ ( has @ Start_state @ ( goto @ Label ) )
      | ~ ( labels @ Label @ Goal_state ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goto_success) ).

thf(3,axiom,
    ! [Goal_state: $i,Start_state: $i,Intermediate_state: $i] :
      ( ( succeeds @ Goal_state @ Start_state )
      | ~ ( succeeds @ Goal_state @ Intermediate_state )
      | ~ ( succeeds @ Intermediate_state @ Start_state ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_success) ).

thf(4,axiom,
    ! [Goal_state: $i,Start_state: $i] :
      ( ( succeeds @ Goal_state @ Start_state )
      | ~ ( follows @ Goal_state @ Start_state ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',direct_success) ).

thf(5,axiom,
    has @ p8 @ ( goto @ loop ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_8) ).

thf(6,axiom,
    follows @ p8 @ p7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_7_to_8) ).

thf(7,axiom,
    has @ p7 @ ( assign @ register_j @ ( plus @ register_j @ n1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_7) ).

thf(8,axiom,
    follows @ p7 @ p6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_6_to_7) ).

thf(9,axiom,
    has @ p6 @ ( assign @ register_k @ ( times @ n2 @ register_k ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_6) ).

thf(10,axiom,
    follows @ p6 @ p3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_3_to_6) ).

thf(11,axiom,
    follows @ p5 @ p4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_4_to_5) ).

thf(12,axiom,
    has @ p4 @ ( goto @ out ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_4) ).

thf(13,axiom,
    has @ p3 @ ( ifthen @ ( equal_function @ register_j @ n ) @ p4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_3) ).

thf(14,axiom,
    follows @ p3 @ p2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_2_to_3) ).

thf(15,axiom,
    labels @ loop @ p3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_state_3) ).

thf(16,axiom,
    has @ p2 @ ( assign @ register_k @ n1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_2) ).

thf(17,axiom,
    follows @ p2 @ p1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transition_1_to_2) ).

thf(18,axiom,
    has @ p1 @ ( assign @ register_j @ n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',state_1) ).

thf(19,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(20,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[19]) ).

thf(21,negated_conjecture,
    ~ ( succeeds @ p3 @ p3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_loop_through_p3) ).

thf(22,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[20]) ).

thf(23,plain,
    ( ( ! [Goal_state: $i,Start_state: $i,Condition: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ~ ( has @ Start_state @ ( ifthen @ Condition @ Goal_state ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(24,plain,
    ( ( ! [Goal_state: $i,Start_state: $i,Label: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ~ ( has @ Start_state @ ( goto @ Label ) )
          | ~ ( labels @ Label @ Goal_state ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(25,plain,
    ( ( ! [Goal_state: $i,Start_state: $i,Intermediate_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ~ ( succeeds @ Goal_state @ Intermediate_state )
          | ~ ( succeeds @ Intermediate_state @ Start_state ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(26,plain,
    ( ( ! [Goal_state: $i,Start_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ~ ( follows @ Goal_state @ Start_state ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(27,plain,
    ( ( has @ p8 @ ( goto @ loop ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(28,plain,
    ( ( follows @ p8 @ p7 )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(29,plain,
    ( ( has @ p7 @ ( assign @ register_j @ ( plus @ register_j @ n1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(30,plain,
    ( ( follows @ p7 @ p6 )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(31,plain,
    ( ( has @ p6 @ ( assign @ register_k @ ( times @ n2 @ register_k ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(32,plain,
    ( ( follows @ p6 @ p3 )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(33,plain,
    ( ( follows @ p5 @ p4 )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(34,plain,
    ( ( has @ p4 @ ( goto @ out ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(35,plain,
    ( ( has @ p3 @ ( ifthen @ ( equal_function @ register_j @ n ) @ p4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(36,plain,
    ( ( follows @ p3 @ p2 )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(37,plain,
    ( ( labels @ loop @ p3 )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(38,plain,
    ( ( has @ p2 @ ( assign @ register_k @ n1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(39,plain,
    ( ( follows @ p2 @ p1 )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(40,plain,
    ( ( has @ p1 @ ( assign @ register_j @ n0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(41,plain,
    ( ( ~ ( succeeds @ p3 @ p3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(42,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[22]) ).

thf(43,plain,
    ( ( ! [Goal_state: $i,Start_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ! [Condition: $i] :
              ~ ( has @ Start_state @ ( ifthen @ Condition @ Goal_state ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[23]) ).

thf(44,plain,
    ( ( ! [Goal_state: $i,Start_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ! [Label: $i] :
              ( ~ ( has @ Start_state @ ( goto @ Label ) )
              | ~ ( labels @ Label @ Goal_state ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[24]) ).

thf(45,plain,
    ( ( ! [Goal_state: $i,Start_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ! [Intermediate_state: $i] :
              ( ~ ( succeeds @ Goal_state @ Intermediate_state )
              | ~ ( succeeds @ Intermediate_state @ Start_state ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(46,plain,
    ( ( ~ ( succeeds @ p3 @ p3 ) )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(47,plain,
    ( ( has @ p1 @ ( assign @ register_j @ n0 ) )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(48,plain,
    ( ( follows @ p2 @ p1 )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(49,plain,
    ( ( has @ p2 @ ( assign @ register_k @ n1 ) )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(50,plain,
    ( ( labels @ loop @ p3 )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(51,plain,
    ( ( follows @ p3 @ p2 )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(52,plain,
    ( ( has @ p3 @ ( ifthen @ ( equal_function @ register_j @ n ) @ p4 ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(53,plain,
    ( ( has @ p4 @ ( goto @ out ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(54,plain,
    ( ( follows @ p5 @ p4 )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(55,plain,
    ( ( follows @ p6 @ p3 )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(56,plain,
    ( ( has @ p6 @ ( assign @ register_k @ ( times @ n2 @ register_k ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(57,plain,
    ( ( follows @ p7 @ p6 )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(58,plain,
    ( ( has @ p7 @ ( assign @ register_j @ ( plus @ register_j @ n1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(59,plain,
    ( ( follows @ p8 @ p7 )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(60,plain,
    ( ( has @ p8 @ ( goto @ loop ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(61,plain,
    ( ( ! [Goal_state: $i,Start_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ~ ( follows @ Goal_state @ Start_state ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(62,plain,
    ( ( ! [Goal_state: $i,Start_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ! [Intermediate_state: $i] :
              ( ~ ( succeeds @ Goal_state @ Intermediate_state )
              | ~ ( succeeds @ Intermediate_state @ Start_state ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(63,plain,
    ( ( ! [Goal_state: $i,Start_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ! [Label: $i] :
              ( ~ ( has @ Start_state @ ( goto @ Label ) )
              | ~ ( labels @ Label @ Goal_state ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(64,plain,
    ( ( ! [Goal_state: $i,Start_state: $i] :
          ( ( succeeds @ Goal_state @ Start_state )
          | ! [Condition: $i] :
              ~ ( has @ Start_state @ ( ifthen @ Condition @ Goal_state ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(65,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(66,plain,
    ( ( succeeds @ p3 @ p3 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(67,plain,
    ! [SV1: $i] :
      ( ( ! [SY11: $i] :
            ( ( succeeds @ SV1 @ SY11 )
            | ~ ( follows @ SV1 @ SY11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(68,plain,
    ! [SV2: $i] :
      ( ( ! [SY12: $i] :
            ( ( succeeds @ SV2 @ SY12 )
            | ! [SY13: $i] :
                ( ~ ( succeeds @ SV2 @ SY13 )
                | ~ ( succeeds @ SY13 @ SY12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[62]) ).

thf(69,plain,
    ! [SV3: $i] :
      ( ( ! [SY14: $i] :
            ( ( succeeds @ SV3 @ SY14 )
            | ! [SY15: $i] :
                ( ~ ( has @ SY14 @ ( goto @ SY15 ) )
                | ~ ( labels @ SY15 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[63]) ).

thf(70,plain,
    ! [SV4: $i] :
      ( ( ! [SY16: $i] :
            ( ( succeeds @ SV4 @ SY16 )
            | ! [SY17: $i] :
                ~ ( has @ SY16 @ ( ifthen @ SY17 @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(71,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[65]) ).

thf(72,plain,
    ! [SV5: $i,SV1: $i] :
      ( ( ( succeeds @ SV1 @ SV5 )
        | ~ ( follows @ SV1 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[67]) ).

thf(73,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ( succeeds @ SV2 @ SV6 )
        | ! [SY18: $i] :
            ( ~ ( succeeds @ SV2 @ SY18 )
            | ~ ( succeeds @ SY18 @ SV6 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(74,plain,
    ! [SV7: $i,SV3: $i] :
      ( ( ( succeeds @ SV3 @ SV7 )
        | ! [SY19: $i] :
            ( ~ ( has @ SV7 @ ( goto @ SY19 ) )
            | ~ ( labels @ SY19 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(75,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( succeeds @ SV4 @ SV8 )
        | ! [SY20: $i] :
            ~ ( has @ SV8 @ ( ifthen @ SY20 @ SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[70]) ).

thf(76,plain,
    ! [SV5: $i,SV1: $i] :
      ( ( ( succeeds @ SV1 @ SV5 )
        = $true )
      | ( ( ~ ( follows @ SV1 @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[72]) ).

thf(77,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ( succeeds @ SV2 @ SV6 )
        = $true )
      | ( ( ! [SY18: $i] :
              ( ~ ( succeeds @ SV2 @ SY18 )
              | ~ ( succeeds @ SY18 @ SV6 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[73]) ).

thf(78,plain,
    ! [SV7: $i,SV3: $i] :
      ( ( ( succeeds @ SV3 @ SV7 )
        = $true )
      | ( ( ! [SY19: $i] :
              ( ~ ( has @ SV7 @ ( goto @ SY19 ) )
              | ~ ( labels @ SY19 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[74]) ).

thf(79,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( succeeds @ SV4 @ SV8 )
        = $true )
      | ( ( ! [SY20: $i] :
              ~ ( has @ SV8 @ ( ifthen @ SY20 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[75]) ).

thf(80,plain,
    ! [SV5: $i,SV1: $i] :
      ( ( ( follows @ SV1 @ SV5 )
        = $false )
      | ( ( succeeds @ SV1 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(81,plain,
    ! [SV6: $i,SV9: $i,SV2: $i] :
      ( ( ( ~ ( succeeds @ SV2 @ SV9 )
          | ~ ( succeeds @ SV9 @ SV6 ) )
        = $true )
      | ( ( succeeds @ SV2 @ SV6 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[77]) ).

thf(82,plain,
    ! [SV3: $i,SV10: $i,SV7: $i] :
      ( ( ( ~ ( has @ SV7 @ ( goto @ SV10 ) )
          | ~ ( labels @ SV10 @ SV3 ) )
        = $true )
      | ( ( succeeds @ SV3 @ SV7 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[78]) ).

thf(83,plain,
    ! [SV4: $i,SV11: $i,SV8: $i] :
      ( ( ( ~ ( has @ SV8 @ ( ifthen @ SV11 @ SV4 ) ) )
        = $true )
      | ( ( succeeds @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[79]) ).

thf(84,plain,
    ! [SV6: $i,SV9: $i,SV2: $i] :
      ( ( ( ~ ( succeeds @ SV2 @ SV9 ) )
        = $true )
      | ( ( ~ ( succeeds @ SV9 @ SV6 ) )
        = $true )
      | ( ( succeeds @ SV2 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(85,plain,
    ! [SV3: $i,SV10: $i,SV7: $i] :
      ( ( ( ~ ( has @ SV7 @ ( goto @ SV10 ) ) )
        = $true )
      | ( ( ~ ( labels @ SV10 @ SV3 ) )
        = $true )
      | ( ( succeeds @ SV3 @ SV7 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV4: $i,SV11: $i,SV8: $i] :
      ( ( ( has @ SV8 @ ( ifthen @ SV11 @ SV4 ) )
        = $false )
      | ( ( succeeds @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(87,plain,
    ! [SV6: $i,SV9: $i,SV2: $i] :
      ( ( ( succeeds @ SV2 @ SV9 )
        = $false )
      | ( ( ~ ( succeeds @ SV9 @ SV6 ) )
        = $true )
      | ( ( succeeds @ SV2 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(88,plain,
    ! [SV3: $i,SV10: $i,SV7: $i] :
      ( ( ( has @ SV7 @ ( goto @ SV10 ) )
        = $false )
      | ( ( ~ ( labels @ SV10 @ SV3 ) )
        = $true )
      | ( ( succeeds @ SV3 @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[85]) ).

thf(89,plain,
    ! [SV2: $i,SV6: $i,SV9: $i] :
      ( ( ( succeeds @ SV9 @ SV6 )
        = $false )
      | ( ( succeeds @ SV2 @ SV9 )
        = $false )
      | ( ( succeeds @ SV2 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(90,plain,
    ! [SV7: $i,SV3: $i,SV10: $i] :
      ( ( ( labels @ SV10 @ SV3 )
        = $false )
      | ( ( has @ SV7 @ ( goto @ SV10 ) )
        = $false )
      | ( ( succeeds @ SV3 @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(91,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[47,90,89,86,80,71,66,60,59,58,57,56,55,54,53,52,51,50,49,48]) ).

thf(92,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n018.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  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 18:09:01 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 19
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.35  (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:21,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.19/0.41  
% 0.19/0.41  ********************************
% 0.19/0.41  *   All subproblems solved!    *
% 0.19/0.41  ********************************
% 0.19/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:91,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.41  
% 0.19/0.41  %**** Beginning of derivation protocol ****
% 0.19/0.41  % SZS output start CNFRefutation
% See solution above
% 0.19/0.41  
% 0.19/0.41  %**** End of derivation protocol ****
% 0.19/0.41  %**** no. of clauses in derivation: 92 ****
% 0.19/0.41  %**** clause counter: 91 ****
% 0.19/0.41  
% 0.19/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:91,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------