%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n010.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 10:36:59 AM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 147 ( 88 unt; 0 typ; 0 def)
% Number of atoms : 759 ( 254 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 901 ( 198 ~; 165 |; 9 &; 493 @)
% ( 3 <=>; 33 =>; 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 : 21 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 170 ( 0 ^; 155 !; 15 ?; 170 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cat,type,
cat: $i > $o ).
thf(tp_chased,type,
chased: $i > $i > $o ).
thf(tp_dog,type,
dog: $i > $o ).
thf(tp_garfield,type,
garfield: $i ).
thf(tp_hates,type,
hates: $i > $i > $o ).
thf(tp_human,type,
human: $i > $o ).
thf(tp_jon,type,
jon: $i ).
thf(tp_odie,type,
odie: $i ).
thf(tp_owner,type,
owner: $i > $i > $o ).
thf(tp_owner_of,type,
owner_of: $i > $i ).
thf(tp_pet,type,
pet: $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SX1,type,
sK5_SX1: $i > $i ).
thf(tp_sK6_SX1,type,
sK6_SX1: $i > $i ).
thf(tp_sK7_SY17,type,
sK7_SY17: $i > $i ).
thf(1,axiom,
chased @ odie @ garfield,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chase_axiom) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( ( human @ X )
& ( pet @ Y ) )
=> ( ( owner @ X @ Y )
<=> ( X
= ( owner_of @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_def) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( ( cat @ X )
& ( dog @ Y ) )
=> ( ( chased @ Y @ X )
=> ( hates @ ( owner_of @ X ) @ ( owner_of @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_chase_axiom) ).
thf(4,axiom,
! [X: $i] :
( ! [X: $i] :
( ( dog @ X )
=> ( owner @ jon @ X ) )
=> ( X = odie ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_only_o_owner_axiom) ).
thf(5,axiom,
! [X: $i] :
( ! [X: $i] :
( ( cat @ X )
=> ( owner @ jon @ X ) )
=> ( X = garfield ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_only_g_owner_axiom) ).
thf(6,axiom,
owner @ jon @ garfield,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_g_owner_axiom) ).
thf(7,axiom,
owner @ jon @ odie,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_o_owner_axiom) ).
thf(8,axiom,
! [X: $i] :
( ( pet @ X )
=> ? [Y: $i] :
( ( human @ Y )
& ( owner @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pet_owner_axiom) ).
thf(9,axiom,
! [A: $i] :
( ( pet @ A )
=> ( human @ ( owner_of @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owner_of_type) ).
thf(10,axiom,
human @ jon,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_type) ).
thf(11,axiom,
? [A: $i] : ( human @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',human_type) ).
thf(12,axiom,
! [A: $i] :
( ( cat @ A )
=> ( pet @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_pet_type) ).
thf(13,axiom,
! [A: $i] :
( ( dog @ A )
=> ( pet @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_pet_type) ).
thf(14,axiom,
? [A: $i] : ( pet @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pet_type) ).
thf(15,axiom,
dog @ odie,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_type) ).
thf(16,axiom,
? [A: $i] : ( dog @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_type) ).
thf(17,axiom,
cat @ garfield,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',garfield_type) ).
thf(18,axiom,
? [A: $i] : ( cat @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cat_type) ).
thf(19,conjecture,
hates @ jon @ jon,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_conjecture) ).
thf(20,negated_conjecture,
( ( hates @ jon @ jon )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( hates @ jon @ jon )
= $false ),
inference(unfold_def,[status(thm)],[20]) ).
thf(22,plain,
( ( chased @ odie @ garfield )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i] :
( ( ( human @ X )
& ( pet @ Y ) )
=> ( ( owner @ X @ Y )
<=> ( X
= ( owner_of @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i] :
( ( ( cat @ X )
& ( dog @ Y ) )
=> ( ( chased @ Y @ X )
=> ( hates @ ( owner_of @ X ) @ ( owner_of @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(25,plain,
( ( ! [X: $i] :
( ! [X: $i] :
( ( dog @ X )
=> ( owner @ jon @ X ) )
=> ( X = odie ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(26,plain,
( ( ! [X: $i] :
( ! [X: $i] :
( ( cat @ X )
=> ( owner @ jon @ X ) )
=> ( X = garfield ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(27,plain,
( ( owner @ jon @ garfield )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(28,plain,
( ( owner @ jon @ odie )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( pet @ X )
=> ? [Y: $i] :
( ( human @ Y )
& ( owner @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(30,plain,
( ( ! [A: $i] :
( ( pet @ A )
=> ( human @ ( owner_of @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(31,plain,
( ( human @ jon )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(32,plain,
( ( ? [A: $i] : ( human @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(33,plain,
( ( ! [A: $i] :
( ( cat @ A )
=> ( pet @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(34,plain,
( ( ! [A: $i] :
( ( dog @ A )
=> ( pet @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(35,plain,
( ( ? [A: $i] : ( pet @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(36,plain,
( ( dog @ odie )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(37,plain,
( ( ? [A: $i] : ( dog @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,plain,
( ( cat @ garfield )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(39,plain,
( ( ? [A: $i] : ( cat @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(40,plain,
( ( ~ ( hates @ jon @ jon ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(41,plain,
( ( ? [A: $i] : ( cat @ A ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(42,plain,
( ( cat @ garfield )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(43,plain,
( ( ? [A: $i] : ( dog @ A ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(44,plain,
( ( dog @ odie )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(45,plain,
( ( ? [A: $i] : ( pet @ A ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(46,plain,
( ( ! [A: $i] :
( ( dog @ A )
=> ( pet @ A ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(47,plain,
( ( ! [A: $i] :
( ( cat @ A )
=> ( pet @ A ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(48,plain,
( ( ? [A: $i] : ( human @ A ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(49,plain,
( ( human @ jon )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(50,plain,
( ( ! [A: $i] :
( ( pet @ A )
=> ( human @ ( owner_of @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(51,plain,
( ( ! [X: $i] :
( ( pet @ X )
=> ? [Y: $i] :
( ( human @ Y )
& ( owner @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(52,plain,
( ( owner @ jon @ odie )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(53,plain,
( ( owner @ jon @ garfield )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(54,plain,
( ( ! [X: $i] :
( ! [X: $i] :
( ( cat @ X )
=> ( owner @ jon @ X ) )
=> ( X = garfield ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(55,plain,
( ( ! [X: $i] :
( ! [X: $i] :
( ( dog @ X )
=> ( owner @ jon @ X ) )
=> ( X = odie ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(56,plain,
( ( ! [X: $i,Y: $i] :
( ( ( cat @ X )
& ( dog @ Y ) )
=> ( ( chased @ Y @ X )
=> ( hates @ ( owner_of @ X ) @ ( owner_of @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i] :
( ( ( human @ X )
& ( pet @ Y ) )
=> ( ( owner @ X @ Y )
<=> ( X
= ( owner_of @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(58,plain,
( ( chased @ odie @ garfield )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(59,plain,
( ( ~ ( hates @ jon @ jon ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(60,plain,
( ( ~ ! [SX0: $i] :
~ ( dog @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(61,plain,
( ( ! [SX0: $i] :
( ~ ( pet @ SX0 )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( human @ SX1 )
| ~ ( owner @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(62,plain,
( ( ! [SX0: $i] :
( ~ ( dog @ SX0 )
| ( pet @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(63,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( human @ SX0 )
| ~ ( pet @ SX1 ) )
| ~ ( ~ ( ~ ( owner @ SX0 @ SX1 )
| ( SX0
= ( owner_of @ SX1 ) ) )
| ~ ( ( SX0
!= ( owner_of @ SX1 ) )
| ( owner @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(64,plain,
( ( ~ ! [SX0: $i] :
~ ( cat @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(65,plain,
( ( ! [SX0: $i] :
( ~ ( cat @ SX0 )
| ( pet @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(66,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( cat @ SX1 )
| ( owner @ jon @ SX1 ) )
| ( SX0 = garfield ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(67,plain,
( ( ~ ! [SX0: $i] :
~ ( pet @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(68,plain,
( ( ~ ! [SX0: $i] :
~ ( human @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(69,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( cat @ SX0 )
| ~ ( dog @ SX1 ) )
| ~ ( chased @ SX1 @ SX0 )
| ( hates @ ( owner_of @ SX0 ) @ ( owner_of @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(70,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
( ~ ( dog @ SX1 )
| ( owner @ jon @ SX1 ) )
| ( SX0 = odie ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(71,plain,
( ( ! [SX0: $i] :
( ~ ( pet @ SX0 )
| ( human @ ( owner_of @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(72,plain,
( ( hates @ jon @ jon )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(73,plain,
( ( ! [SX0: $i] :
~ ( dog @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(74,plain,
! [SV1: $i] :
( ( ~ ( pet @ SV1 )
| ~ ! [SY17: $i] :
~ ~ ( ~ ( human @ SY17 )
| ~ ( owner @ SV1 @ SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(75,plain,
! [SV2: $i] :
( ( ~ ( dog @ SV2 )
| ( pet @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(76,plain,
! [SV3: $i] :
( ( ! [SY18: $i] :
( ~ ~ ( ~ ( human @ SV3 )
| ~ ( pet @ SY18 ) )
| ~ ( ~ ( ~ ( owner @ SV3 @ SY18 )
| ( SV3
= ( owner_of @ SY18 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SY18 ) )
| ( owner @ SV3 @ SY18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(77,plain,
( ( ! [SX0: $i] :
~ ( cat @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(78,plain,
! [SV4: $i] :
( ( ~ ( cat @ SV4 )
| ( pet @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(79,plain,
! [SV5: $i] :
( ( ~ ! [SX1: $i] :
( ~ ( cat @ SX1 )
| ( owner @ jon @ SX1 ) )
| ( SV5 = garfield ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(80,plain,
( ( ! [SX0: $i] :
~ ( pet @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(81,plain,
( ( ! [SX0: $i] :
~ ( human @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(82,plain,
! [SV6: $i] :
( ( ! [SY20: $i] :
( ~ ~ ( ~ ( cat @ SV6 )
| ~ ( dog @ SY20 ) )
| ~ ( chased @ SY20 @ SV6 )
| ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(83,plain,
! [SV7: $i] :
( ( ~ ! [SX1: $i] :
( ~ ( dog @ SX1 )
| ( owner @ jon @ SX1 ) )
| ( SV7 = odie ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(84,plain,
! [SV8: $i] :
( ( ~ ( pet @ SV8 )
| ( human @ ( owner_of @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(85,plain,
( ( ~ ( dog @ sK1_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(86,plain,
! [SV1: $i] :
( ( ( ~ ( pet @ SV1 ) )
= $true )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ( human @ SY17 )
| ~ ( owner @ SV1 @ SY17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV2: $i] :
( ( ( ~ ( dog @ SV2 ) )
= $true )
| ( ( pet @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(88,plain,
! [SV9: $i,SV3: $i] :
( ( ~ ~ ( ~ ( human @ SV3 )
| ~ ( pet @ SV9 ) )
| ~ ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(89,plain,
( ( ~ ( cat @ sK2_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[77]) ).
thf(90,plain,
! [SV4: $i] :
( ( ( ~ ( cat @ SV4 ) )
= $true )
| ( ( pet @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV5: $i] :
( ( ( ~ ! [SX1: $i] :
( ~ ( cat @ SX1 )
| ( owner @ jon @ SX1 ) ) )
= $true )
| ( ( SV5 = garfield )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(92,plain,
( ( ~ ( pet @ sK3_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[80]) ).
thf(93,plain,
( ( ~ ( human @ sK4_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[81]) ).
thf(94,plain,
! [SV10: $i,SV6: $i] :
( ( ~ ~ ( ~ ( cat @ SV6 )
| ~ ( dog @ SV10 ) )
| ~ ( chased @ SV10 @ SV6 )
| ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV7: $i] :
( ( ( ~ ! [SX1: $i] :
( ~ ( dog @ SX1 )
| ( owner @ jon @ SX1 ) ) )
= $true )
| ( ( SV7 = odie )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV8: $i] :
( ( ( ~ ( pet @ SV8 ) )
= $true )
| ( ( human @ ( owner_of @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(97,plain,
( ( dog @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(98,plain,
! [SV1: $i] :
( ( ( pet @ SV1 )
= $false )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ( human @ SY17 )
| ~ ( owner @ SV1 @ SY17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV2: $i] :
( ( ( dog @ SV2 )
= $false )
| ( ( pet @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( human @ SV3 )
| ~ ( pet @ SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(101,plain,
( ( cat @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(102,plain,
! [SV4: $i] :
( ( ( cat @ SV4 )
= $false )
| ( ( pet @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(103,plain,
! [SV5: $i] :
( ( ( ! [SX1: $i] :
( ~ ( cat @ SX1 )
| ( owner @ jon @ SX1 ) ) )
= $false )
| ( ( SV5 = garfield )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(104,plain,
( ( pet @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(105,plain,
( ( human @ sK4_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(106,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( cat @ SV6 )
| ~ ( dog @ SV10 ) ) )
= $true )
| ( ( ~ ( chased @ SV10 @ SV6 )
| ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV7: $i] :
( ( ( ! [SX1: $i] :
( ~ ( dog @ SX1 )
| ( owner @ jon @ SX1 ) ) )
= $false )
| ( ( SV7 = odie )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV8: $i] :
( ( ( pet @ SV8 )
= $false )
| ( ( human @ ( owner_of @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV1: $i] :
( ( ( ! [SY17: $i] :
~ ~ ( ~ ( human @ SY17 )
| ~ ( owner @ SV1 @ SY17 ) ) )
= $false )
| ( ( pet @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(110,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( ~ ( human @ SV3 )
| ~ ( pet @ SV9 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV5: $i] :
( ( ( ~ ( cat @ ( sK5_SX1 @ SV5 ) )
| ( owner @ jon @ ( sK5_SX1 @ SV5 ) ) )
= $false )
| ( ( SV5 = garfield )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[103]) ).
thf(112,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( ~ ( cat @ SV6 )
| ~ ( dog @ SV10 ) ) )
= $false )
| ( ( ~ ( chased @ SV10 @ SV6 )
| ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV7: $i] :
( ( ( ~ ( dog @ ( sK6_SX1 @ SV7 ) )
| ( owner @ jon @ ( sK6_SX1 @ SV7 ) ) )
= $false )
| ( ( SV7 = odie )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(114,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( human @ ( sK7_SY17 @ SV1 ) )
| ~ ( owner @ SV1 @ ( sK7_SY17 @ SV1 ) ) ) )
= $false )
| ( ( pet @ SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(115,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( human @ SV3 )
| ~ ( pet @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(116,plain,
! [SV5: $i] :
( ( ( ~ ( cat @ ( sK5_SX1 @ SV5 ) ) )
= $false )
| ( ( SV5 = garfield )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(117,plain,
! [SV5: $i] :
( ( ( owner @ jon @ ( sK5_SX1 @ SV5 ) )
= $false )
| ( ( SV5 = garfield )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(118,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( cat @ SV6 )
| ~ ( dog @ SV10 ) )
= $true )
| ( ( ~ ( chased @ SV10 @ SV6 )
| ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(119,plain,
! [SV7: $i] :
( ( ( ~ ( dog @ ( sK6_SX1 @ SV7 ) ) )
= $false )
| ( ( SV7 = odie )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(120,plain,
! [SV7: $i] :
( ( ( owner @ jon @ ( sK6_SX1 @ SV7 ) )
= $false )
| ( ( SV7 = odie )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(121,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( human @ ( sK7_SY17 @ SV1 ) )
| ~ ( owner @ SV1 @ ( sK7_SY17 @ SV1 ) ) ) )
= $true )
| ( ( pet @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( human @ SV3 ) )
= $true )
| ( ( ~ ( pet @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(123,plain,
! [SV5: $i] :
( ( ( cat @ ( sK5_SX1 @ SV5 ) )
= $true )
| ( ( SV5 = garfield )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(124,plain,
! [SV10: $i,SV6: $i] :
( ( ( ~ ( cat @ SV6 ) )
= $true )
| ( ( ~ ( dog @ SV10 ) )
= $true )
| ( ( ~ ( chased @ SV10 @ SV6 )
| ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV7: $i] :
( ( ( dog @ ( sK6_SX1 @ SV7 ) )
= $true )
| ( ( SV7 = odie )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(126,plain,
! [SV1: $i] :
( ( ( ~ ( human @ ( sK7_SY17 @ SV1 ) )
| ~ ( owner @ SV1 @ ( sK7_SY17 @ SV1 ) ) )
= $false )
| ( ( pet @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV9: $i,SV3: $i] :
( ( ( human @ SV3 )
= $false )
| ( ( ~ ( pet @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(128,plain,
! [SV10: $i,SV6: $i] :
( ( ( cat @ SV6 )
= $false )
| ( ( ~ ( dog @ SV10 ) )
= $true )
| ( ( ~ ( chased @ SV10 @ SV6 )
| ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(129,plain,
! [SV1: $i] :
( ( ( ~ ( human @ ( sK7_SY17 @ SV1 ) ) )
= $false )
| ( ( pet @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(130,plain,
! [SV1: $i] :
( ( ( ~ ( owner @ SV1 @ ( sK7_SY17 @ SV1 ) ) )
= $false )
| ( ( pet @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(131,plain,
! [SV3: $i,SV9: $i] :
( ( ( pet @ SV9 )
= $false )
| ( ( human @ SV3 )
= $false )
| ( ( ~ ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(132,plain,
! [SV6: $i,SV10: $i] :
( ( ( dog @ SV10 )
= $false )
| ( ( cat @ SV6 )
= $false )
| ( ( ~ ( chased @ SV10 @ SV6 )
| ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(133,plain,
! [SV1: $i] :
( ( ( human @ ( sK7_SY17 @ SV1 ) )
= $true )
| ( ( pet @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(134,plain,
! [SV1: $i] :
( ( ( owner @ SV1 @ ( sK7_SY17 @ SV1 ) )
= $true )
| ( ( pet @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(135,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
| ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) )
= $false )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(136,plain,
! [SV6: $i,SV10: $i] :
( ( ( ~ ( chased @ SV10 @ SV6 ) )
= $true )
| ( ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) )
= $true )
| ( ( cat @ SV6 )
= $false )
| ( ( dog @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(137,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) ) )
= $false )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(138,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) ) )
= $false )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(139,plain,
! [SV6: $i,SV10: $i] :
( ( ( chased @ SV10 @ SV6 )
= $false )
| ( ( hates @ ( owner_of @ SV6 ) @ ( owner_of @ SV10 ) )
= $true )
| ( ( cat @ SV6 )
= $false )
| ( ( dog @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(140,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( owner @ SV3 @ SV9 )
| ( SV3
= ( owner_of @ SV9 ) ) )
= $true )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(141,plain,
! [SV9: $i,SV3: $i] :
( ( ( ( SV3
!= ( owner_of @ SV9 ) )
| ( owner @ SV3 @ SV9 ) )
= $true )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(142,plain,
! [SV9: $i,SV3: $i] :
( ( ( ~ ( owner @ SV3 @ SV9 ) )
= $true )
| ( ( SV3
= ( owner_of @ SV9 ) )
= $true )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(143,plain,
! [SV9: $i,SV3: $i] :
( ( ( SV3
!= ( owner_of @ SV9 ) )
= $true )
| ( ( owner @ SV3 @ SV9 )
= $true )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(144,plain,
! [SV9: $i,SV3: $i] :
( ( ( owner @ SV3 @ SV9 )
= $false )
| ( ( SV3
= ( owner_of @ SV9 ) )
= $true )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(145,plain,
! [SV9: $i,SV3: $i] :
( ( ( SV3
= ( owner_of @ SV9 ) )
= $false )
| ( ( owner @ SV3 @ SV9 )
= $true )
| ( ( human @ SV3 )
= $false )
| ( ( pet @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(146,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[42,145,144,139,134,133,125,123,120,117,108,105,104,102,101,99,97,72,58,53,52,49,44]) ).
thf(147,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 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
% 0.09/0.17 % Computer : n010.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 14:00:40 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.23
% 0.09/0.23 No.of.Axioms: 18
% 0.09/0.23
% 0.09/0.23 Length.of.Defs: 0
% 0.09/0.23
% 0.09/0.23 Contains.Choice.Funs: false
% 0.09/0.23 ..
% 0.09/0.23
% 0.09/0.23 ********************************
% 0.09/0.23 * All subproblems solved! *
% 0.09/0.23 ********************************
% 0.09/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,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:146,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.23
% 0.09/0.23 %**** Beginning of derivation protocol ****
% 0.09/0.23 % SZS output start CNFRefutation
% See solution above
% 0.09/0.23
% 0.09/0.23 %**** End of derivation protocol ****
% 0.09/0.23 %**** no. of clauses in derivation: 147 ****
% 0.09/0.23 %**** clause counter: 146 ****
% 0.09/0.23
% 0.09/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,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:146,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------