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LEO-II---2.3.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : ANA035-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n002.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 10:09:36 AM UTC 2026

% Result   : Unsatisfiable 106.43s 18.10s
% Output   : CNFRefutation 106.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   50 (  32 unt;   0 typ;   0 def)
%            Number of atoms       :  196 (  89 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :  529 (  30   ~;  34   |;   0   &; 465   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :  100 (   0   ^; 100   !;   0   ?; 100   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_c_HOL_Oabs,type,
    c_HOL_Oabs: $i > $i > $i ).

thf(tp_c_times,type,
    c_times: $i > $i > $i > $i ).

thf(tp_class_OrderedGroup_Oab__semigroup__mult,type,
    class_OrderedGroup_Oab__semigroup__mult: $i > $o ).

thf(tp_class_Ring__and__Field_Oordered__idom,type,
    class_Ring__and__Field_Oordered__idom: $i > $o ).

thf(tp_t_b,type,
    t_b: $i ).

thf(tp_v_c,type,
    v_c: $i ).

thf(tp_v_ca,type,
    v_ca: $i ).

thf(tp_v_f,type,
    v_f: $i > $i ).

thf(tp_v_g,type,
    v_g: $i > $i ).

thf(tp_v_x,type,
    v_x: $i ).

thf(1,axiom,
    ! [T: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ T )
      | ( class_OrderedGroup_Oab__semigroup__mult @ T ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).

thf(2,axiom,
    ! [T_a: $i,V_a: $i,V_b: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
      | ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a )
        = ( c_times @ ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).

thf(3,axiom,
    ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
      ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ T_a )
      | ( ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a )
        = ( c_times @ V_b @ ( c_times @ V_a @ V_c @ T_a ) @ T_a ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__3_0) ).

thf(4,axiom,
    ! [T_a: $i,V_a: $i,V_b: $i] :
      ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ T_a )
      | ( ( c_times @ V_a @ V_b @ T_a )
        = ( c_times @ V_b @ V_a @ T_a ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).

thf(5,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(6,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[5]) ).

thf(7,negated_conjecture,
    class_Ring__and__Field_Oordered__idom @ t_b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

thf(8,negated_conjecture,
    ( ( c_times @ ( c_times @ v_c @ v_ca @ t_b ) @ ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b )
   != ( c_times @ ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @ ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

thf(9,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[6]) ).

thf(10,plain,
    ( ( ! [T: $i] :
          ( ~ ( class_Ring__and__Field_Oordered__idom @ T )
          | ( class_OrderedGroup_Oab__semigroup__mult @ T ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(11,plain,
    ( ( ! [T_a: $i,V_a: $i,V_b: $i] :
          ( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
          | ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a )
            = ( c_times @ ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(12,plain,
    ( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
          ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ T_a )
          | ( ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a )
            = ( c_times @ V_b @ ( c_times @ V_a @ V_c @ T_a ) @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(13,plain,
    ( ( ! [T_a: $i,V_a: $i,V_b: $i] :
          ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ T_a )
          | ( ( c_times @ V_a @ V_b @ T_a )
            = ( c_times @ V_b @ V_a @ T_a ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(14,plain,
    ( ( class_Ring__and__Field_Oordered__idom @ t_b )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(15,plain,
    ( ( ( c_times @ ( c_times @ v_c @ v_ca @ t_b ) @ ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b )
     != ( c_times @ ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @ ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(16,plain,
    ( ( ~ $false ) = $true ),
    inference(polarity_switch,[status(thm)],[9]) ).

thf(17,plain,
    ( ( ! [T_a: $i] :
          ( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
          | ! [V_a: $i,V_b: $i] :
              ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a )
              = ( c_times @ ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(18,plain,
    ( ( ! [T_a: $i,V_a: $i] :
          ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ T_a )
          | ! [V_b: $i,V_c: $i] :
              ( ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a )
              = ( c_times @ V_b @ ( c_times @ V_a @ V_c @ T_a ) @ T_a ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[12]) ).

thf(19,plain,
    ( ( ! [T_a: $i] :
          ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ T_a )
          | ! [V_a: $i,V_b: $i] :
              ( ( c_times @ V_a @ V_b @ T_a )
              = ( c_times @ V_b @ V_a @ T_a ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[13]) ).

thf(20,plain,
    ( ( ( c_times @ ( c_times @ v_c @ v_ca @ t_b ) @ ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b )
     != ( c_times @ ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @ ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[15]) ).

thf(21,plain,
    ( ( ( c_times @ ( c_times @ v_c @ v_ca @ t_b ) @ ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b )
     != ( c_times @ ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @ ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ) )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(22,plain,
    ( ( class_Ring__and__Field_Oordered__idom @ t_b )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(23,plain,
    ( ( ! [T_a: $i] :
          ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ T_a )
          | ! [V_a: $i,V_b: $i] :
              ( ( c_times @ V_a @ V_b @ T_a )
              = ( c_times @ V_b @ V_a @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(24,plain,
    ( ( ! [T_a: $i,V_a: $i] :
          ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ T_a )
          | ! [V_b: $i,V_c: $i] :
              ( ( c_times @ V_a @ ( c_times @ V_b @ V_c @ T_a ) @ T_a )
              = ( c_times @ V_b @ ( c_times @ V_a @ V_c @ T_a ) @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(25,plain,
    ( ( ! [T_a: $i] :
          ( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
          | ! [V_a: $i,V_b: $i] :
              ( ( c_HOL_Oabs @ ( c_times @ V_a @ V_b @ T_a ) @ T_a )
              = ( c_times @ ( c_HOL_Oabs @ V_a @ T_a ) @ ( c_HOL_Oabs @ V_b @ T_a ) @ T_a ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(26,plain,
    ( ( ! [T: $i] :
          ( ~ ( class_Ring__and__Field_Oordered__idom @ T )
          | ( class_OrderedGroup_Oab__semigroup__mult @ T ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(27,plain,
    ( ( ~ $false ) = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(28,plain,
    ( ( ( c_times @ ( c_times @ v_c @ v_ca @ t_b ) @ ( c_HOL_Oabs @ ( c_times @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b )
      = ( c_times @ ( c_times @ v_c @ ( c_HOL_Oabs @ ( v_f @ v_x ) @ t_b ) @ t_b ) @ ( c_times @ v_ca @ ( c_HOL_Oabs @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[21]) ).

thf(29,plain,
    ! [SV1: $i] :
      ( ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ SV1 )
        | ! [SY11: $i,SY12: $i] :
            ( ( c_times @ SY11 @ SY12 @ SV1 )
            = ( c_times @ SY12 @ SY11 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[23]) ).

thf(30,plain,
    ! [SV2: $i] :
      ( ( ! [SY13: $i] :
            ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ SV2 )
            | ! [SY14: $i,SY15: $i] :
                ( ( c_times @ SY13 @ ( c_times @ SY14 @ SY15 @ SV2 ) @ SV2 )
                = ( c_times @ SY14 @ ( c_times @ SY13 @ SY15 @ SV2 ) @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[24]) ).

thf(31,plain,
    ! [SV3: $i] :
      ( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV3 )
        | ! [SY16: $i,SY17: $i] :
            ( ( c_HOL_Oabs @ ( c_times @ SY16 @ SY17 @ SV3 ) @ SV3 )
            = ( c_times @ ( c_HOL_Oabs @ SY16 @ SV3 ) @ ( c_HOL_Oabs @ SY17 @ SV3 ) @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[25]) ).

thf(32,plain,
    ! [SV4: $i] :
      ( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV4 )
        | ( class_OrderedGroup_Oab__semigroup__mult @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(33,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(34,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ SV1 ) )
        = $true )
      | ( ( ! [SY11: $i,SY12: $i] :
              ( ( c_times @ SY11 @ SY12 @ SV1 )
              = ( c_times @ SY12 @ SY11 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[29]) ).

thf(35,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ SV2 )
        | ! [SY18: $i,SY19: $i] :
            ( ( c_times @ SV5 @ ( c_times @ SY18 @ SY19 @ SV2 ) @ SV2 )
            = ( c_times @ SY18 @ ( c_times @ SV5 @ SY19 @ SV2 ) @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(36,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV3 ) )
        = $true )
      | ( ( ! [SY16: $i,SY17: $i] :
              ( ( c_HOL_Oabs @ ( c_times @ SY16 @ SY17 @ SV3 ) @ SV3 )
              = ( c_times @ ( c_HOL_Oabs @ SY16 @ SV3 ) @ ( c_HOL_Oabs @ SY17 @ SV3 ) @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[31]) ).

thf(37,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV4 ) )
        = $true )
      | ( ( class_OrderedGroup_Oab__semigroup__mult @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[32]) ).

thf(38,plain,
    ! [SV1: $i] :
      ( ( ( class_OrderedGroup_Oab__semigroup__mult @ SV1 )
        = $false )
      | ( ( ! [SY11: $i,SY12: $i] :
              ( ( c_times @ SY11 @ SY12 @ SV1 )
              = ( c_times @ SY12 @ SY11 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[34]) ).

thf(39,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( ~ ( class_OrderedGroup_Oab__semigroup__mult @ SV2 ) )
        = $true )
      | ( ( ! [SY18: $i,SY19: $i] :
              ( ( c_times @ SV5 @ ( c_times @ SY18 @ SY19 @ SV2 ) @ SV2 )
              = ( c_times @ SY18 @ ( c_times @ SV5 @ SY19 @ SV2 ) @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[35]) ).

thf(40,plain,
    ! [SV3: $i] :
      ( ( ( class_Ring__and__Field_Oordered__idom @ SV3 )
        = $false )
      | ( ( ! [SY16: $i,SY17: $i] :
              ( ( c_HOL_Oabs @ ( c_times @ SY16 @ SY17 @ SV3 ) @ SV3 )
              = ( c_times @ ( c_HOL_Oabs @ SY16 @ SV3 ) @ ( c_HOL_Oabs @ SY17 @ SV3 ) @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[36]) ).

thf(41,plain,
    ! [SV4: $i] :
      ( ( ( class_Ring__and__Field_Oordered__idom @ SV4 )
        = $false )
      | ( ( class_OrderedGroup_Oab__semigroup__mult @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(42,plain,
    ! [SV1: $i,SV6: $i] :
      ( ( ( ! [SY20: $i] :
              ( ( c_times @ SV6 @ SY20 @ SV1 )
              = ( c_times @ SY20 @ SV6 @ SV1 ) ) )
        = $true )
      | ( ( class_OrderedGroup_Oab__semigroup__mult @ SV1 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(43,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( class_OrderedGroup_Oab__semigroup__mult @ SV2 )
        = $false )
      | ( ( ! [SY18: $i,SY19: $i] :
              ( ( c_times @ SV5 @ ( c_times @ SY18 @ SY19 @ SV2 ) @ SV2 )
              = ( c_times @ SY18 @ ( c_times @ SV5 @ SY19 @ SV2 ) @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[39]) ).

thf(44,plain,
    ! [SV3: $i,SV7: $i] :
      ( ( ( ! [SY21: $i] :
              ( ( c_HOL_Oabs @ ( c_times @ SV7 @ SY21 @ SV3 ) @ SV3 )
              = ( c_times @ ( c_HOL_Oabs @ SV7 @ SV3 ) @ ( c_HOL_Oabs @ SY21 @ SV3 ) @ SV3 ) ) )
        = $true )
      | ( ( class_Ring__and__Field_Oordered__idom @ SV3 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(45,plain,
    ! [SV1: $i,SV8: $i,SV6: $i] :
      ( ( ( ( c_times @ SV6 @ SV8 @ SV1 )
          = ( c_times @ SV8 @ SV6 @ SV1 ) )
        = $true )
      | ( ( class_OrderedGroup_Oab__semigroup__mult @ SV1 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[42]) ).

thf(46,plain,
    ! [SV2: $i,SV9: $i,SV5: $i] :
      ( ( ( ! [SY22: $i] :
              ( ( c_times @ SV5 @ ( c_times @ SV9 @ SY22 @ SV2 ) @ SV2 )
              = ( c_times @ SV9 @ ( c_times @ SV5 @ SY22 @ SV2 ) @ SV2 ) ) )
        = $true )
      | ( ( class_OrderedGroup_Oab__semigroup__mult @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(47,plain,
    ! [SV3: $i,SV10: $i,SV7: $i] :
      ( ( ( ( c_HOL_Oabs @ ( c_times @ SV7 @ SV10 @ SV3 ) @ SV3 )
          = ( c_times @ ( c_HOL_Oabs @ SV7 @ SV3 ) @ ( c_HOL_Oabs @ SV10 @ SV3 ) @ SV3 ) )
        = $true )
      | ( ( class_Ring__and__Field_Oordered__idom @ SV3 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(48,plain,
    ! [SV2: $i,SV11: $i,SV9: $i,SV5: $i] :
      ( ( ( ( c_times @ SV5 @ ( c_times @ SV9 @ SV11 @ SV2 ) @ SV2 )
          = ( c_times @ SV9 @ ( c_times @ SV5 @ SV11 @ SV2 ) @ SV2 ) )
        = $true )
      | ( ( class_OrderedGroup_Oab__semigroup__mult @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(49,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[22,48,47,45,41,33,28]) ).

thf(50,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ANA035-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % 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 : n002.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 18:20:12 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 106.43/18.10  
% 106.43/18.10   No.of.Axioms: 6
% 106.43/18.10  
% 106.43/18.10   Length.of.Defs: 0
% 106.43/18.10  
% 106.43/18.10   Contains.Choice.Funs: false
% 106.43/18.10  .
% 106.43/18.10  
% 106.43/18.10  ********************************
% 106.43/18.10  *   All subproblems solved!    *
% 106.43/18.10  ********************************
% 106.43/18.10  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:49,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 106.43/18.10  
% 106.43/18.10  %**** Beginning of derivation protocol ****
% 106.43/18.10  % SZS output start CNFRefutation
% See solution above
% 106.43/18.10  
% 106.43/18.10  %**** End of derivation protocol ****
% 106.43/18.10  %**** no. of clauses in derivation: 50 ****
% 106.43/18.10  %**** clause counter: 49 ****
% 106.43/18.10  
% 106.43/18.10  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:49,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------