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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:31:51 AM UTC 2026

% Result   : Theorem 0.10s 0.23s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   69 (  39 unt;   0 typ;   0 def)
%            Number of atoms       :  501 ( 277 equ;   0 cnn)
%            Maximal formula atoms :    5 (   7 avg)
%            Number of connectives :  558 ( 220   ~; 136   |;  18   &; 178   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;   5 con; 0-4 aty)
%            Number of variables   :   80 (   0   ^;  80   !;   0   ?;  80   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_axis_compatible,type,
    axis_compatible: $i > $i > $i > $i > $o ).

thf(tp_axis_conflict,type,
    axis_conflict: $i > $i > $i > $i > $o ).

thf(tp_axis_subsumes,type,
    axis_subsumes: $i > $i > $i > $i > $o ).

thf(tp_box_verdict,type,
    box_verdict: $i > $i > $i ).

thf(tp_compatible,type,
    compatible: $i ).

thf(tp_conflict,type,
    conflict: $i ).

thf(tp_in_closed,type,
    in_closed: $i > $i > $i > $o ).

thf(tp_in_lopen,type,
    in_lopen: $i > $i > $i > $o ).

thf(tp_in_open,type,
    in_open: $i > $i > $i > $o ).

thf(tp_in_ropen,type,
    in_ropen: $i > $i > $i > $o ).

thf(tp_is_verdict,type,
    is_verdict: $i > $o ).

thf(tp_leq,type,
    leq: $i > $i > $o ).

thf(tp_less,type,
    less: $i > $i > $o ).

thf(tp_or_verdict,type,
    or_verdict: $i > $i > $i ).

thf(tp_unknown,type,
    unknown: $i ).

thf(tp_xone_verdict,type,
    xone_verdict: $i > $i > $i ).

thf(6,axiom,
    compatible != unknown,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cp_un) ).

thf(7,axiom,
    conflict != unknown,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_un) ).

thf(8,axiom,
    conflict != compatible,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verdicts_distinct_cf_cp) ).

thf(10,axiom,
    is_verdict @ compatible,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible_is_verdict) ).

thf(11,axiom,
    is_verdict @ conflict,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conflict_is_verdict) ).

thf(22,axiom,
    ! [Vm: $i,Vr: $i] :
      ( ( ( is_verdict @ Vm )
        & ( is_verdict @ Vr )
        & ( Vm = conflict )
        & ( Vr = conflict ) )
     => ( ( xone_verdict @ Vm @ Vr )
        = conflict ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xone_conflict) ).

thf(23,axiom,
    ! [Vm: $i,Vr: $i] :
      ( ( ( is_verdict @ Vm )
        & ( is_verdict @ Vr )
        & ( Vm = compatible )
        & ( Vr = conflict ) )
     => ( ( xone_verdict @ Vm @ Vr )
        = compatible ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xone_compat) ).

thf(37,conjecture,
    ( ( xone_verdict @ compatible @ conflict )
    = compatible ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl644) ).

thf(38,negated_conjecture,
    ( ( ( xone_verdict @ compatible @ conflict )
      = compatible )
    = $false ),
    inference(negate_conjecture,[status(cth)],[37]) ).

thf(39,plain,
    ( ( ( xone_verdict @ compatible @ conflict )
      = compatible )
    = $false ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(40,plain,
    ( ( compatible != unknown )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(41,plain,
    ( ( conflict != unknown )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(42,plain,
    ( ( conflict != compatible )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(43,plain,
    ( ( is_verdict @ compatible )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(44,plain,
    ( ( is_verdict @ conflict )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(45,plain,
    ( ( ! [Vm: $i,Vr: $i] :
          ( ( ( is_verdict @ Vm )
            & ( is_verdict @ Vr )
            & ( Vm = conflict )
            & ( Vr = conflict ) )
         => ( ( xone_verdict @ Vm @ Vr )
            = conflict ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(46,plain,
    ( ( ! [Vm: $i,Vr: $i] :
          ( ( ( is_verdict @ Vm )
            & ( is_verdict @ Vr )
            & ( Vm = compatible )
            & ( Vr = conflict ) )
         => ( ( xone_verdict @ Vm @ Vr )
            = compatible ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(47,plain,
    ( ( ( xone_verdict @ compatible @ conflict )
     != compatible )
    = $true ),
    inference(polarity_switch,[status(thm)],[39]) ).

thf(48,plain,
    ( ( ! [Vm: $i,Vr: $i] :
          ( ( ( is_verdict @ Vm )
            & ( is_verdict @ Vr )
            & ( Vm = compatible )
            & ( Vr = conflict ) )
         => ( ( xone_verdict @ Vm @ Vr )
            = compatible ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(49,plain,
    ( ( ! [Vm: $i,Vr: $i] :
          ( ( ( is_verdict @ Vm )
            & ( is_verdict @ Vr )
            & ( Vm = conflict )
            & ( Vr = conflict ) )
         => ( ( xone_verdict @ Vm @ Vr )
            = conflict ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(50,plain,
    ( ( is_verdict @ conflict )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(51,plain,
    ( ( is_verdict @ compatible )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(52,plain,
    ( ( conflict != compatible )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(53,plain,
    ( ( conflict != unknown )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(54,plain,
    ( ( compatible != unknown )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(55,plain,
    ( ( ( xone_verdict @ compatible @ conflict )
     != compatible )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(56,plain,
    ( ( conflict != unknown )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(57,plain,
    ( ( compatible != unknown )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(58,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SX0 )
                            | ~ ( is_verdict @ SX1 ) )
                      | ( SX0 != compatible ) )
                | ( SX1 != conflict ) )
          | ( ( xone_verdict @ SX0 @ SX1 )
            = compatible ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(59,plain,
    ( ( conflict != compatible )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(60,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SX0 )
                            | ~ ( is_verdict @ SX1 ) )
                      | ( SX0 != conflict ) )
                | ( SX1 != conflict ) )
          | ( ( xone_verdict @ SX0 @ SX1 )
            = conflict ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(61,plain,
    ( ( ( xone_verdict @ compatible @ conflict )
      = compatible )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(62,plain,
    ( ( conflict = unknown )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(63,plain,
    ( ( compatible = unknown )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(64,plain,
    ! [SV1: $i] :
      ( ( ! [SY4: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV1 )
                              | ~ ( is_verdict @ SY4 ) )
                        | ( SV1 != compatible ) )
                  | ( SY4 != conflict ) )
            | ( ( xone_verdict @ SV1 @ SY4 )
              = compatible ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(65,plain,
    ( ( conflict = compatible )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV2: $i] :
      ( ( ! [SY5: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV2 )
                              | ~ ( is_verdict @ SY5 ) )
                        | ( SV2 != conflict ) )
                  | ( SY5 != conflict ) )
            | ( ( xone_verdict @ SV2 @ SY5 )
              = conflict ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(67,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV1 )
                          | ~ ( is_verdict @ SV3 ) )
                    | ( SV1 != compatible ) )
              | ( SV3 != conflict ) )
        | ( ( xone_verdict @ SV1 @ SV3 )
          = compatible ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(68,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV2 )
                          | ~ ( is_verdict @ SV4 ) )
                    | ( SV2 != conflict ) )
              | ( SV4 != conflict ) )
        | ( ( xone_verdict @ SV2 @ SV4 )
          = conflict ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(69,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV1 )
                            | ~ ( is_verdict @ SV3 ) )
                      | ( SV1 != compatible ) )
                | ( SV3 != conflict ) ) )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[67]) ).

thf(70,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV2 )
                            | ~ ( is_verdict @ SV4 ) )
                      | ( SV2 != conflict ) )
                | ( SV4 != conflict ) ) )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[68]) ).

thf(71,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV1 )
                          | ~ ( is_verdict @ SV3 ) )
                    | ( SV1 != compatible ) )
              | ( SV3 != conflict ) ) )
        = $false )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(72,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV2 )
                          | ~ ( is_verdict @ SV4 ) )
                    | ( SV2 != conflict ) )
              | ( SV4 != conflict ) ) )
        = $false )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(73,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV1 )
                      | ~ ( is_verdict @ SV3 ) )
                | ( SV1 != compatible ) )
          | ( SV3 != conflict ) )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[71]) ).

thf(74,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV2 )
                      | ~ ( is_verdict @ SV4 ) )
                | ( SV2 != conflict ) )
          | ( SV4 != conflict ) )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[72]) ).

thf(75,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV1 )
                      | ~ ( is_verdict @ SV3 ) )
                | ( SV1 != compatible ) ) )
        = $true )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[73]) ).

thf(76,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( is_verdict @ SV2 )
                      | ~ ( is_verdict @ SV4 ) )
                | ( SV2 != conflict ) ) )
        = $true )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[74]) ).

thf(77,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_verdict @ SV1 )
                    | ~ ( is_verdict @ SV3 ) )
              | ( SV1 != compatible ) ) )
        = $false )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(78,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( is_verdict @ SV2 )
                    | ~ ( is_verdict @ SV4 ) )
              | ( SV2 != conflict ) ) )
        = $false )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(79,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ( is_verdict @ SV1 )
                | ~ ( is_verdict @ SV3 ) )
          | ( SV1 != compatible ) )
        = $true )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[77]) ).

thf(80,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( is_verdict @ SV2 )
                | ~ ( is_verdict @ SV4 ) )
          | ( SV2 != conflict ) )
        = $true )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[78]) ).

thf(81,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ( is_verdict @ SV1 )
                | ~ ( is_verdict @ SV3 ) ) )
        = $true )
      | ( ( SV1 != compatible )
        = $true )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[79]) ).

thf(82,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( is_verdict @ SV2 )
                | ~ ( is_verdict @ SV4 ) ) )
        = $true )
      | ( ( SV2 != conflict )
        = $true )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[80]) ).

thf(83,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( is_verdict @ SV1 )
              | ~ ( is_verdict @ SV3 ) ) )
        = $false )
      | ( ( SV1 != compatible )
        = $true )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[81]) ).

thf(84,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( is_verdict @ SV2 )
              | ~ ( is_verdict @ SV4 ) ) )
        = $false )
      | ( ( SV2 != conflict )
        = $true )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[82]) ).

thf(85,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ( is_verdict @ SV1 )
          | ~ ( is_verdict @ SV3 ) )
        = $true )
      | ( ( SV1 != compatible )
        = $true )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[83]) ).

thf(86,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ( is_verdict @ SV2 )
          | ~ ( is_verdict @ SV4 ) )
        = $true )
      | ( ( SV2 != conflict )
        = $true )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(87,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ( is_verdict @ SV1 ) )
        = $true )
      | ( ( ~ ( is_verdict @ SV3 ) )
        = $true )
      | ( ( SV1 != compatible )
        = $true )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[85]) ).

thf(88,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ( is_verdict @ SV2 ) )
        = $true )
      | ( ( ~ ( is_verdict @ SV4 ) )
        = $true )
      | ( ( SV2 != conflict )
        = $true )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[86]) ).

thf(89,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( is_verdict @ SV1 )
        = $false )
      | ( ( ~ ( is_verdict @ SV3 ) )
        = $true )
      | ( ( SV1 != compatible )
        = $true )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(90,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( is_verdict @ SV2 )
        = $false )
      | ( ( ~ ( is_verdict @ SV4 ) )
        = $true )
      | ( ( SV2 != conflict )
        = $true )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(91,plain,
    ! [SV1: $i,SV3: $i] :
      ( ( ( is_verdict @ SV3 )
        = $false )
      | ( ( is_verdict @ SV1 )
        = $false )
      | ( ( SV1 != compatible )
        = $true )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(92,plain,
    ! [SV2: $i,SV4: $i] :
      ( ( ( is_verdict @ SV4 )
        = $false )
      | ( ( is_verdict @ SV2 )
        = $false )
      | ( ( SV2 != conflict )
        = $true )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(93,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( SV1 = compatible )
        = $false )
      | ( ( is_verdict @ SV1 )
        = $false )
      | ( ( is_verdict @ SV3 )
        = $false )
      | ( ( SV3 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[91]) ).

thf(94,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( SV2 = conflict )
        = $false )
      | ( ( is_verdict @ SV2 )
        = $false )
      | ( ( is_verdict @ SV4 )
        = $false )
      | ( ( SV4 != conflict )
        = $true )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(95,plain,
    ! [SV1: $i,SV3: $i] :
      ( ( ( SV3 = conflict )
        = $false )
      | ( ( is_verdict @ SV3 )
        = $false )
      | ( ( is_verdict @ SV1 )
        = $false )
      | ( ( SV1 = compatible )
        = $false )
      | ( ( ( xone_verdict @ SV1 @ SV3 )
          = compatible )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(96,plain,
    ! [SV2: $i,SV4: $i] :
      ( ( ( SV4 = conflict )
        = $false )
      | ( ( is_verdict @ SV4 )
        = $false )
      | ( ( is_verdict @ SV2 )
        = $false )
      | ( ( SV2 = conflict )
        = $false )
      | ( ( ( xone_verdict @ SV2 @ SV4 )
          = conflict )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(97,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[50,96,95,65,63,62,61,51]) ).

thf(98,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.18  % Computer : n005.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Tue Oct  6 12:43:59 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.23  
% 0.10/0.23   No.of.Axioms: 7
% 0.10/0.23  
% 0.10/0.23   Length.of.Defs: 0
% 0.10/0.23  
% 0.10/0.23   Contains.Choice.Funs: false
% 0.10/0.23  .
% 0.10/0.23  
% 0.10/0.23  ********************************
% 0.10/0.23  *   All subproblems solved!    *
% 0.10/0.23  ********************************
% 0.10/0.23  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:7,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:97,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.23  
% 0.10/0.23  %**** Beginning of derivation protocol ****
% 0.10/0.23  % SZS output start CNFRefutation
% See solution above
% 0.10/0.23  
% 0.10/0.23  %**** End of derivation protocol ****
% 0.10/0.23  %**** no. of clauses in derivation: 69 ****
% 0.10/0.23  %**** clause counter: 97 ****
% 0.10/0.23  
% 0.10/0.23  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:7,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:97,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------