TSTP Solution File: PUZ131-10 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 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 : Mon Jul 18 18:19:40 EDT 2022

% Result   : Unsatisfiable 0.37s 0.55s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  108 (  89 unt;  19 typ;   0 def)
%            Number of atoms       :  221 ( 147 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :  541 (   6   ~;   0   |;   0   &; 535   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  19 usr;   9 con; 0-4 aty)
%            Number of variables   :   76 (   0   ^  76   !;   0   ?;  76   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_coordinatorof,type,
    coordinatorof: $i > $i ).

thf(tp_course,type,
    course: $i > $i ).

thf(tp_csc410,type,
    csc410: $i ).

thf(tp_enrolled,type,
    enrolled: $i > $i > $i ).

thf(tp_ifeq,type,
    ifeq: $i > $i > $i > $i > $i ).

thf(tp_michael,type,
    michael: $i ).

thf(tp_professor,type,
    professor: $i > $i ).

thf(tp_sK1_course_teaches_Y,type,
    sK1_course_teaches_Y: $i > $i ).

thf(tp_sK2_course_enrolled_Y,type,
    sK2_course_enrolled_Y: $i > $i ).

thf(tp_sK3_professor_teaches_Y,type,
    sK3_professor_teaches_Y: $i > $i ).

thf(tp_sK4_student_enrolled_axiom_Y,type,
    sK4_student_enrolled_axiom_Y: $i > $i ).

thf(tp_sK5_course_type_A,type,
    sK5_course_type_A: $i ).

thf(tp_sK6_professor_type_A,type,
    sK6_professor_type_A: $i ).

thf(tp_sK7_student_type_A,type,
    sK7_student_type_A: $i ).

thf(tp_student,type,
    student: $i > $i ).

thf(tp_taughtby,type,
    taughtby: $i > $i > $i ).

thf(tp_teaches,type,
    teaches: $i > $i > $i ).

thf(tp_true,type,
    true: $i ).

thf(tp_victor,type,
    victor: $i ).

thf(1,axiom,
    ( ( coordinatorof @ csc410 )
    = victor ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).

thf(2,axiom,
    ( ( enrolled @ michael @ csc410 )
    = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).

thf(3,axiom,
    ! [Z: $i,Y: $i,X: $i] :
      ( ( ifeq @ ( teaches @ Z @ Y ) @ true @ ( ifeq @ ( enrolled @ X @ Y ) @ true @ ( ifeq @ ( course @ Y ) @ true @ ( ifeq @ ( professor @ Z ) @ true @ ( ifeq @ ( student @ X ) @ true @ ( taughtby @ X @ Z ) @ true ) @ true ) @ true ) @ true ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).

thf(4,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( course @ X ) @ true @ ( teaches @ ( coordinatorof @ X ) @ X ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).

thf(5,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( course @ X ) @ true @ ( professor @ ( sK1_course_teaches_Y @ X ) ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_teaches) ).

thf(6,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( course @ X ) @ true @ ( teaches @ ( sK1_course_teaches_Y @ X ) @ X ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_teaches_1) ).

thf(7,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( course @ X ) @ true @ ( student @ ( sK2_course_enrolled_Y @ X ) ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_enrolled) ).

thf(8,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( course @ X ) @ true @ ( enrolled @ ( sK2_course_enrolled_Y @ X ) @ X ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_enrolled_1) ).

thf(9,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( professor @ X ) @ true @ ( course @ ( sK3_professor_teaches_Y @ X ) ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_teaches) ).

thf(10,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( professor @ X ) @ true @ ( teaches @ X @ ( sK3_professor_teaches_Y @ X ) ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_teaches_1) ).

thf(11,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( student @ X ) @ true @ ( course @ ( sK4_student_enrolled_axiom_Y @ X ) ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_axiom) ).

thf(12,axiom,
    ! [X: $i] :
      ( ( ifeq @ ( student @ X ) @ true @ ( enrolled @ X @ ( sK4_student_enrolled_axiom_Y @ X ) ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_axiom_1) ).

thf(13,axiom,
    ! [A: $i] :
      ( ( ifeq @ ( course @ A ) @ true @ ( professor @ ( coordinatorof @ A ) ) @ true )
      = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_of_type) ).

thf(14,axiom,
    ( ( course @ csc410 )
    = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).

thf(15,axiom,
    ( ( professor @ victor )
    = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).

thf(16,axiom,
    ( ( student @ michael )
    = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).

thf(17,axiom,
    ( ( course @ sK5_course_type_A )
    = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_type) ).

thf(18,axiom,
    ( ( professor @ sK6_professor_type_A )
    = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_type) ).

thf(19,axiom,
    ( ( student @ sK7_student_type_A )
    = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_type) ).

thf(20,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ifeq @ A @ A @ B @ C )
      = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

thf(21,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(22,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[21]) ).

thf(23,negated_conjecture,
    ( taughtby @ michael @ victor )
 != true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).

thf(24,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[22]) ).

thf(25,plain,
    ( ( ( coordinatorof @ csc410 )
      = victor )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(26,plain,
    ( ( ( enrolled @ michael @ csc410 )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(27,plain,
    ( ( ! [Z: $i,Y: $i,X: $i] :
          ( ( ifeq @ ( teaches @ Z @ Y ) @ true @ ( ifeq @ ( enrolled @ X @ Y ) @ true @ ( ifeq @ ( course @ Y ) @ true @ ( ifeq @ ( professor @ Z ) @ true @ ( ifeq @ ( student @ X ) @ true @ ( taughtby @ X @ Z ) @ true ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(28,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( teaches @ ( coordinatorof @ X ) @ X ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(29,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( professor @ ( sK1_course_teaches_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(30,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( teaches @ ( sK1_course_teaches_Y @ X ) @ X ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(31,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( student @ ( sK2_course_enrolled_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(32,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( enrolled @ ( sK2_course_enrolled_Y @ X ) @ X ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(33,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( professor @ X ) @ true @ ( course @ ( sK3_professor_teaches_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(34,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( professor @ X ) @ true @ ( teaches @ X @ ( sK3_professor_teaches_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(35,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( student @ X ) @ true @ ( course @ ( sK4_student_enrolled_axiom_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(36,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( student @ X ) @ true @ ( enrolled @ X @ ( sK4_student_enrolled_axiom_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(37,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( course @ A ) @ true @ ( professor @ ( coordinatorof @ A ) ) @ true )
          = true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(38,plain,
    ( ( ( course @ csc410 )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(39,plain,
    ( ( ( professor @ victor )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(40,plain,
    ( ( ( student @ michael )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(41,plain,
    ( ( ( course @ sK5_course_type_A )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(42,plain,
    ( ( ( professor @ sK6_professor_type_A )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(43,plain,
    ( ( ( student @ sK7_student_type_A )
      = true )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(44,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ifeq @ A @ A @ B @ C )
          = B ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(45,plain,
    ( ( ( ( taughtby @ michael @ victor )
       != true ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(46,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[24]) ).

thf(47,plain,
    ( ( ( ( taughtby @ michael @ victor )
       != true ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[45]) ).

thf(48,plain,
    ( ( ( ( taughtby @ michael @ victor )
       != true ) )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(49,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ifeq @ A @ A @ B @ C )
          = B ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(50,plain,
    ( ( ( student @ sK7_student_type_A )
      = true )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(51,plain,
    ( ( ( professor @ sK6_professor_type_A )
      = true )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(52,plain,
    ( ( ( course @ sK5_course_type_A )
      = true )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(53,plain,
    ( ( ( student @ michael )
      = true )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(54,plain,
    ( ( ( professor @ victor )
      = true )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(55,plain,
    ( ( ( course @ csc410 )
      = true )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(56,plain,
    ( ( ! [A: $i] :
          ( ( ifeq @ ( course @ A ) @ true @ ( professor @ ( coordinatorof @ A ) ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(57,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( student @ X ) @ true @ ( enrolled @ X @ ( sK4_student_enrolled_axiom_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(58,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( student @ X ) @ true @ ( course @ ( sK4_student_enrolled_axiom_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(59,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( professor @ X ) @ true @ ( teaches @ X @ ( sK3_professor_teaches_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(60,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( professor @ X ) @ true @ ( course @ ( sK3_professor_teaches_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(61,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( enrolled @ ( sK2_course_enrolled_Y @ X ) @ X ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(62,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( student @ ( sK2_course_enrolled_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(63,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( teaches @ ( sK1_course_teaches_Y @ X ) @ X ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(64,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( professor @ ( sK1_course_teaches_Y @ X ) ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(65,plain,
    ( ( ! [X: $i] :
          ( ( ifeq @ ( course @ X ) @ true @ ( teaches @ ( coordinatorof @ X ) @ X ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(66,plain,
    ( ( ! [Z: $i,Y: $i,X: $i] :
          ( ( ifeq @ ( teaches @ Z @ Y ) @ true @ ( ifeq @ ( enrolled @ X @ Y ) @ true @ ( ifeq @ ( course @ Y ) @ true @ ( ifeq @ ( professor @ Z ) @ true @ ( ifeq @ ( student @ X ) @ true @ ( taughtby @ X @ Z ) @ true ) @ true ) @ true ) @ true ) @ true )
          = true ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(67,plain,
    ( ( ( enrolled @ michael @ csc410 )
      = true )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(68,plain,
    ( ( ( coordinatorof @ csc410 )
      = victor )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(69,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(70,plain,
    ( ( ( taughtby @ michael @ victor )
      = true )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[48]) ).

thf(71,plain,
    ! [SV1: $i] :
      ( ( ! [SY16: $i,SY17: $i] :
            ( ( ifeq @ SV1 @ SV1 @ SY16 @ SY17 )
            = SY16 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[49]) ).

thf(72,plain,
    ! [SV2: $i] :
      ( ( ( ifeq @ ( course @ SV2 ) @ true @ ( professor @ ( coordinatorof @ SV2 ) ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[56]) ).

thf(73,plain,
    ! [SV3: $i] :
      ( ( ( ifeq @ ( student @ SV3 ) @ true @ ( enrolled @ SV3 @ ( sK4_student_enrolled_axiom_Y @ SV3 ) ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[57]) ).

thf(74,plain,
    ! [SV4: $i] :
      ( ( ( ifeq @ ( student @ SV4 ) @ true @ ( course @ ( sK4_student_enrolled_axiom_Y @ SV4 ) ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(75,plain,
    ! [SV5: $i] :
      ( ( ( ifeq @ ( professor @ SV5 ) @ true @ ( teaches @ SV5 @ ( sK3_professor_teaches_Y @ SV5 ) ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(76,plain,
    ! [SV6: $i] :
      ( ( ( ifeq @ ( professor @ SV6 ) @ true @ ( course @ ( sK3_professor_teaches_Y @ SV6 ) ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(77,plain,
    ! [SV7: $i] :
      ( ( ( ifeq @ ( course @ SV7 ) @ true @ ( enrolled @ ( sK2_course_enrolled_Y @ SV7 ) @ SV7 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(78,plain,
    ! [SV8: $i] :
      ( ( ( ifeq @ ( course @ SV8 ) @ true @ ( student @ ( sK2_course_enrolled_Y @ SV8 ) ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[62]) ).

thf(79,plain,
    ! [SV9: $i] :
      ( ( ( ifeq @ ( course @ SV9 ) @ true @ ( teaches @ ( sK1_course_teaches_Y @ SV9 ) @ SV9 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[63]) ).

thf(80,plain,
    ! [SV10: $i] :
      ( ( ( ifeq @ ( course @ SV10 ) @ true @ ( professor @ ( sK1_course_teaches_Y @ SV10 ) ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(81,plain,
    ! [SV11: $i] :
      ( ( ( ifeq @ ( course @ SV11 ) @ true @ ( teaches @ ( coordinatorof @ SV11 ) @ SV11 ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(82,plain,
    ! [SV12: $i] :
      ( ( ! [SY18: $i,SY19: $i] :
            ( ( ifeq @ ( teaches @ SV12 @ SY18 ) @ true @ ( ifeq @ ( enrolled @ SY19 @ SY18 ) @ true @ ( ifeq @ ( course @ SY18 ) @ true @ ( ifeq @ ( professor @ SV12 ) @ true @ ( ifeq @ ( student @ SY19 ) @ true @ ( taughtby @ SY19 @ SV12 ) @ true ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(83,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(84,plain,
    ! [SV13: $i,SV1: $i] :
      ( ( ! [SY20: $i] :
            ( ( ifeq @ SV1 @ SV1 @ SV13 @ SY20 )
            = SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[71]) ).

thf(85,plain,
    ! [SV14: $i,SV12: $i] :
      ( ( ! [SY21: $i] :
            ( ( ifeq @ ( teaches @ SV12 @ SV14 ) @ true @ ( ifeq @ ( enrolled @ SY21 @ SV14 ) @ true @ ( ifeq @ ( course @ SV14 ) @ true @ ( ifeq @ ( professor @ SV12 ) @ true @ ( ifeq @ ( student @ SY21 ) @ true @ ( taughtby @ SY21 @ SV12 ) @ true ) @ true ) @ true ) @ true ) @ true )
            = true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV15: $i,SV13: $i,SV1: $i] :
      ( ( ( ifeq @ SV1 @ SV1 @ SV13 @ SV15 )
        = SV13 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(87,plain,
    ! [SV16: $i,SV14: $i,SV12: $i] :
      ( ( ( ifeq @ ( teaches @ SV12 @ SV14 ) @ true @ ( ifeq @ ( enrolled @ SV16 @ SV14 ) @ true @ ( ifeq @ ( course @ SV14 ) @ true @ ( ifeq @ ( professor @ SV12 ) @ true @ ( ifeq @ ( student @ SV16 ) @ true @ ( taughtby @ SV16 @ SV12 ) @ true ) @ true ) @ true ) @ true ) @ true )
        = true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(88,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[50,87,86,83,81,80,79,78,77,76,75,74,73,72,70,68,67,55,54,53,52,51]) ).

thf(89,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[88]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % 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 : Sun May 29 01:42:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 21
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.36  (rf:0,axioms:21,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:23,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.37/0.55  
% 0.37/0.55  ********************************
% 0.37/0.55  *   All subproblems solved!    *
% 0.37/0.55  ********************************
% 0.37/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:21,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:88,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.37/0.55  
% 0.37/0.55  %**** Beginning of derivation protocol ****
% 0.37/0.55  % SZS output start CNFRefutation
% See solution above
% 0.37/0.55  
% 0.37/0.55  %**** End of derivation protocol ****
% 0.37/0.55  %**** no. of clauses in derivation: 89 ****
% 0.37/0.55  %**** clause counter: 88 ****
% 0.37/0.55  
% 0.37/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:21,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:88,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------