TSTP Solution File: PUZ131+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.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 : Theorem 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 135 ( 68 unt; 17 typ; 0 def)
% Number of atoms : 639 ( 170 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 829 ( 142 ~; 149 |; 18 &; 500 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 131 ( 0 ^ 117 !; 14 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_coordinatorof,type,
coordinatorof: $i > $i ).
thf(tp_course,type,
course: $i > $o ).
thf(tp_csc410,type,
csc410: $i ).
thf(tp_enrolled,type,
enrolled: $i > $i > $o ).
thf(tp_michael,type,
michael: $i ).
thf(tp_professor,type,
professor: $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i ).
thf(tp_sK4_Y,type,
sK4_Y: $i > $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_A,type,
sK7_A: $i ).
thf(tp_student,type,
student: $i > $o ).
thf(tp_taughtby,type,
taughtby: $i > $i > $o ).
thf(tp_teaches,type,
teaches: $i > $i > $o ).
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,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( ( student @ X )
& ( course @ Y ) )
=> ( ( enrolled @ X @ Y )
=> ! [Z: $i] :
( ( professor @ Z )
=> ( ( teaches @ Z @ Y )
=> ( taughtby @ X @ Z ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
thf(4,axiom,
! [X: $i] :
( ( course @ X )
=> ( teaches @ ( coordinatorof @ X ) @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
thf(5,axiom,
! [X: $i] :
( ( course @ X )
=> ? [Y: $i] :
( ( professor @ Y )
& ( teaches @ Y @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_teaches) ).
thf(6,axiom,
! [X: $i] :
( ( course @ X )
=> ? [Y: $i] :
( ( student @ Y )
& ( enrolled @ Y @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_enrolled) ).
thf(7,axiom,
! [X: $i] :
( ( professor @ X )
=> ? [Y: $i] :
( ( course @ Y )
& ( teaches @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_teaches) ).
thf(8,axiom,
! [X: $i] :
( ( student @ X )
=> ? [Y: $i] :
( ( course @ Y )
& ( enrolled @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_axiom) ).
thf(9,axiom,
! [A: $i] :
( ( course @ A )
=> ( professor @ ( coordinatorof @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_of_type) ).
thf(10,axiom,
course @ csc410,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).
thf(11,axiom,
professor @ victor,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).
thf(12,axiom,
student @ michael,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).
thf(13,axiom,
? [A: $i] : ( course @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',course_type) ).
thf(14,axiom,
? [A: $i] : ( professor @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',professor_type) ).
thf(15,axiom,
? [A: $i] : ( student @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_type) ).
thf(16,conjecture,
taughtby @ michael @ victor,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
thf(17,negated_conjecture,
( ( taughtby @ michael @ victor )
= $false ),
inference(negate_conjecture,[status(cth)],[16]) ).
thf(18,plain,
( ( taughtby @ michael @ victor )
= $false ),
inference(unfold_def,[status(thm)],[17]) ).
thf(19,plain,
( ( ( coordinatorof @ csc410 )
= victor )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(20,plain,
( ( enrolled @ michael @ csc410 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(21,plain,
( ( ! [X: $i,Y: $i] :
( ( ( student @ X )
& ( course @ Y ) )
=> ( ( enrolled @ X @ Y )
=> ! [Z: $i] :
( ( professor @ Z )
=> ( ( teaches @ Z @ Y )
=> ( taughtby @ X @ Z ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(22,plain,
( ( ! [X: $i] :
( ( course @ X )
=> ( teaches @ ( coordinatorof @ X ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(23,plain,
( ( ! [X: $i] :
( ( course @ X )
=> ? [Y: $i] :
( ( professor @ Y )
& ( teaches @ Y @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(24,plain,
( ( ! [X: $i] :
( ( course @ X )
=> ? [Y: $i] :
( ( student @ Y )
& ( enrolled @ Y @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(25,plain,
( ( ! [X: $i] :
( ( professor @ X )
=> ? [Y: $i] :
( ( course @ Y )
& ( teaches @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(26,plain,
( ( ! [X: $i] :
( ( student @ X )
=> ? [Y: $i] :
( ( course @ Y )
& ( enrolled @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(27,plain,
( ( ! [A: $i] :
( ( course @ A )
=> ( professor @ ( coordinatorof @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(28,plain,
( ( course @ csc410 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(29,plain,
( ( professor @ victor )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(30,plain,
( ( student @ michael )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(31,plain,
( ( ? [A: $i] : ( course @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(32,plain,
( ( ? [A: $i] : ( professor @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(33,plain,
( ( ? [A: $i] : ( student @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(34,plain,
( ( ~ ( taughtby @ michael @ victor ) )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(35,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( course @ Y )
| ~ ( student @ X )
| ~ ( enrolled @ X @ Y )
| ! [Z: $i] :
( ~ ( professor @ Z )
| ~ ( teaches @ Z @ Y )
| ( taughtby @ X @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(36,plain,
( ( ! [X: $i] :
( ~ ( course @ X )
| ( teaches @ ( coordinatorof @ X ) @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(37,plain,
( ( ! [X: $i] :
( ~ ( course @ X )
| ( ( professor @ ( sK1_Y @ X ) )
& ( teaches @ ( sK1_Y @ X ) @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(38,plain,
( ( ! [X: $i] :
( ~ ( course @ X )
| ( ( enrolled @ ( sK2_Y @ X ) @ X )
& ( student @ ( sK2_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(39,plain,
( ( ! [X: $i] :
( ~ ( professor @ X )
| ( ( course @ ( sK3_Y @ X ) )
& ( teaches @ X @ ( sK3_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(40,plain,
( ( ! [X: $i] :
( ~ ( student @ X )
| ( ( course @ ( sK4_Y @ X ) )
& ( enrolled @ X @ ( sK4_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(41,plain,
( ( ! [A: $i] :
( ~ ( course @ A )
| ( professor @ ( coordinatorof @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(42,plain,
( ( course @ sK5_A )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(43,plain,
( ( professor @ sK6_A )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(44,plain,
( ( student @ sK7_A )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(45,plain,
( ( student @ sK7_A )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(46,plain,
( ( professor @ sK6_A )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(47,plain,
( ( course @ sK5_A )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(48,plain,
( ( student @ michael )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(49,plain,
( ( professor @ victor )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(50,plain,
( ( course @ csc410 )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(51,plain,
( ( ! [A: $i] :
( ~ ( course @ A )
| ( professor @ ( coordinatorof @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(52,plain,
( ( ! [X: $i] :
( ~ ( student @ X )
| ( ( course @ ( sK4_Y @ X ) )
& ( enrolled @ X @ ( sK4_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(53,plain,
( ( ! [X: $i] :
( ~ ( professor @ X )
| ( ( course @ ( sK3_Y @ X ) )
& ( teaches @ X @ ( sK3_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(54,plain,
( ( ! [X: $i] :
( ~ ( course @ X )
| ( ( enrolled @ ( sK2_Y @ X ) @ X )
& ( student @ ( sK2_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(55,plain,
( ( ! [X: $i] :
( ~ ( course @ X )
| ( ( professor @ ( sK1_Y @ X ) )
& ( teaches @ ( sK1_Y @ X ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(56,plain,
( ( ! [X: $i] :
( ~ ( course @ X )
| ( teaches @ ( coordinatorof @ X ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( course @ Y )
| ~ ( student @ X )
| ~ ( enrolled @ X @ Y )
| ! [Z: $i] :
( ~ ( professor @ Z )
| ~ ( teaches @ Z @ Y )
| ( taughtby @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(58,plain,
( ( enrolled @ michael @ csc410 )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(59,plain,
( ( ( coordinatorof @ csc410 )
= victor )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(60,plain,
( ( ~ ( taughtby @ michael @ victor ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(61,plain,
( ( ! [SX0: $i] :
( ~ ( professor @ SX0 )
| ~ ( ~ ( course @ ( sK3_Y @ SX0 ) )
| ~ ( teaches @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(62,plain,
( ( ! [SX0: $i] :
( ~ ( course @ SX0 )
| ~ ( ~ ( enrolled @ ( sK2_Y @ SX0 ) @ SX0 )
| ~ ( student @ ( sK2_Y @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(63,plain,
( ( ! [SX0: $i] :
( ~ ( course @ SX0 )
| ~ ( ~ ( professor @ ( sK1_Y @ SX0 ) )
| ~ ( teaches @ ( sK1_Y @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(64,plain,
( ( ! [SX0: $i] :
( ~ ( student @ SX0 )
| ~ ( ~ ( course @ ( sK4_Y @ SX0 ) )
| ~ ( enrolled @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(65,plain,
! [SV1: $i] :
( ( ~ ( course @ SV1 )
| ( professor @ ( coordinatorof @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(66,plain,
! [SV2: $i] :
( ( ~ ( course @ SV2 )
| ( teaches @ ( coordinatorof @ SV2 ) @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV3: $i] :
( ( ! [SY16: $i] :
( ~ ( course @ SY16 )
| ~ ( student @ SV3 )
| ~ ( enrolled @ SV3 @ SY16 )
| ! [SY17: $i] :
( ~ ( professor @ SY17 )
| ~ ( teaches @ SY17 @ SY16 )
| ( taughtby @ SV3 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(68,plain,
( ( taughtby @ michael @ victor )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(69,plain,
! [SV4: $i] :
( ( ~ ( professor @ SV4 )
| ~ ( ~ ( course @ ( sK3_Y @ SV4 ) )
| ~ ( teaches @ SV4 @ ( sK3_Y @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV5: $i] :
( ( ~ ( course @ SV5 )
| ~ ( ~ ( enrolled @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( student @ ( sK2_Y @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV6: $i] :
( ( ~ ( course @ SV6 )
| ~ ( ~ ( professor @ ( sK1_Y @ SV6 ) )
| ~ ( teaches @ ( sK1_Y @ SV6 ) @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(72,plain,
! [SV7: $i] :
( ( ~ ( student @ SV7 )
| ~ ( ~ ( course @ ( sK4_Y @ SV7 ) )
| ~ ( enrolled @ SV7 @ ( sK4_Y @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(73,plain,
! [SV1: $i] :
( ( ( ~ ( course @ SV1 ) )
= $true )
| ( ( professor @ ( coordinatorof @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV2: $i] :
( ( ( ~ ( course @ SV2 ) )
= $true )
| ( ( teaches @ ( coordinatorof @ SV2 ) @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(75,plain,
! [SV3: $i,SV8: $i] :
( ( ~ ( course @ SV8 )
| ~ ( student @ SV3 )
| ~ ( enrolled @ SV3 @ SV8 )
| ! [SY18: $i] :
( ~ ( professor @ SY18 )
| ~ ( teaches @ SY18 @ SV8 )
| ( taughtby @ SV3 @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(76,plain,
! [SV4: $i] :
( ( ( ~ ( professor @ SV4 ) )
= $true )
| ( ( ~ ( ~ ( course @ ( sK3_Y @ SV4 ) )
| ~ ( teaches @ SV4 @ ( sK3_Y @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV5: $i] :
( ( ( ~ ( course @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( enrolled @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( student @ ( sK2_Y @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(78,plain,
! [SV6: $i] :
( ( ( ~ ( course @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( professor @ ( sK1_Y @ SV6 ) )
| ~ ( teaches @ ( sK1_Y @ SV6 ) @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(79,plain,
! [SV7: $i] :
( ( ( ~ ( student @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( course @ ( sK4_Y @ SV7 ) )
| ~ ( enrolled @ SV7 @ ( sK4_Y @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(80,plain,
! [SV1: $i] :
( ( ( course @ SV1 )
= $false )
| ( ( professor @ ( coordinatorof @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
! [SV2: $i] :
( ( ( course @ SV2 )
= $false )
| ( ( teaches @ ( coordinatorof @ SV2 ) @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV3: $i,SV8: $i] :
( ( ( ~ ( course @ SV8 )
| ~ ( student @ SV3 ) )
= $true )
| ( ( ~ ( enrolled @ SV3 @ SV8 )
| ! [SY18: $i] :
( ~ ( professor @ SY18 )
| ~ ( teaches @ SY18 @ SV8 )
| ( taughtby @ SV3 @ SY18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV4: $i] :
( ( ( professor @ SV4 )
= $false )
| ( ( ~ ( ~ ( course @ ( sK3_Y @ SV4 ) )
| ~ ( teaches @ SV4 @ ( sK3_Y @ SV4 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(84,plain,
! [SV5: $i] :
( ( ( course @ SV5 )
= $false )
| ( ( ~ ( ~ ( enrolled @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( student @ ( sK2_Y @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(85,plain,
! [SV6: $i] :
( ( ( course @ SV6 )
= $false )
| ( ( ~ ( ~ ( professor @ ( sK1_Y @ SV6 ) )
| ~ ( teaches @ ( sK1_Y @ SV6 ) @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(86,plain,
! [SV7: $i] :
( ( ( student @ SV7 )
= $false )
| ( ( ~ ( ~ ( course @ ( sK4_Y @ SV7 ) )
| ~ ( enrolled @ SV7 @ ( sK4_Y @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(87,plain,
! [SV3: $i,SV8: $i] :
( ( ( ~ ( course @ SV8 ) )
= $true )
| ( ( ~ ( student @ SV3 ) )
= $true )
| ( ( ~ ( enrolled @ SV3 @ SV8 )
| ! [SY18: $i] :
( ~ ( professor @ SY18 )
| ~ ( teaches @ SY18 @ SV8 )
| ( taughtby @ SV3 @ SY18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(88,plain,
! [SV4: $i] :
( ( ( ~ ( course @ ( sK3_Y @ SV4 ) )
| ~ ( teaches @ SV4 @ ( sK3_Y @ SV4 ) ) )
= $false )
| ( ( professor @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(89,plain,
! [SV5: $i] :
( ( ( ~ ( enrolled @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( student @ ( sK2_Y @ SV5 ) ) )
= $false )
| ( ( course @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(90,plain,
! [SV6: $i] :
( ( ( ~ ( professor @ ( sK1_Y @ SV6 ) )
| ~ ( teaches @ ( sK1_Y @ SV6 ) @ SV6 ) )
= $false )
| ( ( course @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(91,plain,
! [SV7: $i] :
( ( ( ~ ( course @ ( sK4_Y @ SV7 ) )
| ~ ( enrolled @ SV7 @ ( sK4_Y @ SV7 ) ) )
= $false )
| ( ( student @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV3: $i,SV8: $i] :
( ( ( course @ SV8 )
= $false )
| ( ( ~ ( student @ SV3 ) )
= $true )
| ( ( ~ ( enrolled @ SV3 @ SV8 )
| ! [SY18: $i] :
( ~ ( professor @ SY18 )
| ~ ( teaches @ SY18 @ SV8 )
| ( taughtby @ SV3 @ SY18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV4: $i] :
( ( ( ~ ( course @ ( sK3_Y @ SV4 ) ) )
= $false )
| ( ( professor @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV4: $i] :
( ( ( ~ ( teaches @ SV4 @ ( sK3_Y @ SV4 ) ) )
= $false )
| ( ( professor @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV5: $i] :
( ( ( ~ ( enrolled @ ( sK2_Y @ SV5 ) @ SV5 ) )
= $false )
| ( ( course @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(96,plain,
! [SV5: $i] :
( ( ( ~ ( student @ ( sK2_Y @ SV5 ) ) )
= $false )
| ( ( course @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(97,plain,
! [SV6: $i] :
( ( ( ~ ( professor @ ( sK1_Y @ SV6 ) ) )
= $false )
| ( ( course @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(98,plain,
! [SV6: $i] :
( ( ( ~ ( teaches @ ( sK1_Y @ SV6 ) @ SV6 ) )
= $false )
| ( ( course @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(99,plain,
! [SV7: $i] :
( ( ( ~ ( course @ ( sK4_Y @ SV7 ) ) )
= $false )
| ( ( student @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(100,plain,
! [SV7: $i] :
( ( ( ~ ( enrolled @ SV7 @ ( sK4_Y @ SV7 ) ) )
= $false )
| ( ( student @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(101,plain,
! [SV8: $i,SV3: $i] :
( ( ( student @ SV3 )
= $false )
| ( ( course @ SV8 )
= $false )
| ( ( ~ ( enrolled @ SV3 @ SV8 )
| ! [SY18: $i] :
( ~ ( professor @ SY18 )
| ~ ( teaches @ SY18 @ SV8 )
| ( taughtby @ SV3 @ SY18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV4: $i] :
( ( ( course @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( professor @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(103,plain,
! [SV4: $i] :
( ( ( teaches @ SV4 @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( professor @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(104,plain,
! [SV5: $i] :
( ( ( enrolled @ ( sK2_Y @ SV5 ) @ SV5 )
= $true )
| ( ( course @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(105,plain,
! [SV5: $i] :
( ( ( student @ ( sK2_Y @ SV5 ) )
= $true )
| ( ( course @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(106,plain,
! [SV6: $i] :
( ( ( professor @ ( sK1_Y @ SV6 ) )
= $true )
| ( ( course @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(107,plain,
! [SV6: $i] :
( ( ( teaches @ ( sK1_Y @ SV6 ) @ SV6 )
= $true )
| ( ( course @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(108,plain,
! [SV7: $i] :
( ( ( course @ ( sK4_Y @ SV7 ) )
= $true )
| ( ( student @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(109,plain,
! [SV7: $i] :
( ( ( enrolled @ SV7 @ ( sK4_Y @ SV7 ) )
= $true )
| ( ( student @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(110,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( enrolled @ SV3 @ SV8 ) )
= $true )
| ( ( ! [SY18: $i] :
( ~ ( professor @ SY18 )
| ~ ( teaches @ SY18 @ SV8 )
| ( taughtby @ SV3 @ SY18 ) ) )
= $true )
| ( ( course @ SV8 )
= $false )
| ( ( student @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(111,plain,
! [SV8: $i,SV3: $i] :
( ( ( enrolled @ SV3 @ SV8 )
= $false )
| ( ( ! [SY18: $i] :
( ~ ( professor @ SY18 )
| ~ ( teaches @ SY18 @ SV8 )
| ( taughtby @ SV3 @ SY18 ) ) )
= $true )
| ( ( course @ SV8 )
= $false )
| ( ( student @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(112,plain,
! [SV3: $i,SV8: $i,SV9: $i] :
( ( ( ~ ( professor @ SV9 )
| ~ ( teaches @ SV9 @ SV8 )
| ( taughtby @ SV3 @ SV9 ) )
= $true )
| ( ( enrolled @ SV3 @ SV8 )
= $false )
| ( ( course @ SV8 )
= $false )
| ( ( student @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(113,plain,
! [SV3: $i,SV8: $i,SV9: $i] :
( ( ( ~ ( professor @ SV9 ) )
= $true )
| ( ( ~ ( teaches @ SV9 @ SV8 )
| ( taughtby @ SV3 @ SV9 ) )
= $true )
| ( ( enrolled @ SV3 @ SV8 )
= $false )
| ( ( course @ SV8 )
= $false )
| ( ( student @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(114,plain,
! [SV3: $i,SV8: $i,SV9: $i] :
( ( ( professor @ SV9 )
= $false )
| ( ( ~ ( teaches @ SV9 @ SV8 )
| ( taughtby @ SV3 @ SV9 ) )
= $true )
| ( ( enrolled @ SV3 @ SV8 )
= $false )
| ( ( course @ SV8 )
= $false )
| ( ( student @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(115,plain,
! [SV3: $i,SV8: $i,SV9: $i] :
( ( ( ~ ( teaches @ SV9 @ SV8 ) )
= $true )
| ( ( taughtby @ SV3 @ SV9 )
= $true )
| ( ( professor @ SV9 )
= $false )
| ( ( enrolled @ SV3 @ SV8 )
= $false )
| ( ( course @ SV8 )
= $false )
| ( ( student @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(116,plain,
! [SV3: $i,SV8: $i,SV9: $i] :
( ( ( teaches @ SV9 @ SV8 )
= $false )
| ( ( taughtby @ SV3 @ SV9 )
= $true )
| ( ( professor @ SV9 )
= $false )
| ( ( enrolled @ SV3 @ SV8 )
= $false )
| ( ( course @ SV8 )
= $false )
| ( ( student @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(117,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[45,116,109,108,107,106,105,104,103,102,81,80,68,59,58,50,49,48,47,46]) ).
thf(118,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun May 29 01:50:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 15
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:15,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:17,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.20/0.41
% 0.20/0.41 ********************************
% 0.20/0.41 * All subproblems solved! *
% 0.20/0.41 ********************************
% 0.20/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:15,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:117,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.41
% 0.20/0.41 %**** Beginning of derivation protocol ****
% 0.20/0.41 % SZS output start CNFRefutation
% See solution above
% 0.20/0.41
% 0.20/0.41 %**** End of derivation protocol ****
% 0.20/0.41 %**** no. of clauses in derivation: 118 ****
% 0.20/0.41 %**** clause counter: 117 ****
% 0.20/0.41
% 0.20/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:15,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:117,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------