%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 10:36:12 AM UTC 2026
% Result : Theorem 0.07s 0.21s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 589 ( 170 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 807 ( 220 ~; 149 |; 21 &; 380 @)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 149 ( 0 ^; 143 !; 6 ?; 149 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_exemplifies_property,type,
exemplifies_property: $i > $i > $o ).
thf(tp_is_the,type,
is_the: $i > $i > $o ).
thf(tp_object,type,
object: $i > $o ).
thf(tp_property,type,
property: $i > $o ).
thf(tp_sK1_F,type,
sK1_F: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(1,axiom,
! [X: $i,F: $i,Y: $i] :
( ( ( object @ X )
& ( property @ F )
& ( object @ Y ) )
=> ( ( ( is_the @ X @ F )
& ( X = Y ) )
=> ( exemplifies_property @ F @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
thf(2,axiom,
! [X: $i,F: $i] :
( ( is_the @ X @ F )
=> ( ( property @ F )
& ( object @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
thf(3,axiom,
! [X: $i,F: $i] :
( ( exemplifies_property @ F @ X )
=> ( ( property @ F )
& ( object @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
thf(4,axiom,
! [X: $i] :
( ( object @ X )
=> ~ ( property @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',objects_are_not_properties) ).
thf(5,conjecture,
! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( is_the @ Y @ F ) )
=> ! [Z: $i] :
( ( object @ Z )
=> ( ( is_the @ Z @ F )
=> ( exemplifies_property @ F @ Z ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).
thf(6,negated_conjecture,
( ( ! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( is_the @ Y @ F ) )
=> ! [Z: $i] :
( ( object @ Z )
=> ( ( is_the @ Z @ F )
=> ( exemplifies_property @ F @ Z ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( is_the @ Y @ F ) )
=> ! [Z: $i] :
( ( object @ Z )
=> ( ( is_the @ Z @ F )
=> ( exemplifies_property @ F @ Z ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [X: $i,F: $i,Y: $i] :
( ( ( object @ X )
& ( property @ F )
& ( object @ Y ) )
=> ( ( ( is_the @ X @ F )
& ( X = Y ) )
=> ( exemplifies_property @ F @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ! [X: $i,F: $i] :
( ( is_the @ X @ F )
=> ( ( property @ F )
& ( object @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( ! [X: $i,F: $i] :
( ( exemplifies_property @ F @ X )
=> ( ( property @ F )
& ( object @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( ! [X: $i] :
( ( object @ X )
=> ~ ( property @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(12,plain,
( ( ( property @ sK1_F )
=> ( ? [SY11: $i] :
( ( object @ SY11 )
& ( is_the @ SY11 @ sK1_F ) )
=> ! [SY12: $i] :
( ( object @ SY12 )
=> ( ( is_the @ SY12 @ sK1_F )
=> ( exemplifies_property @ sK1_F @ SY12 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(13,plain,
( ( property @ sK1_F )
= $true ),
inference(standard_cnf,[status(thm)],[12]) ).
thf(14,plain,
( ( ? [SY11: $i] :
( ( object @ SY11 )
& ( is_the @ SY11 @ sK1_F ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SY12: $i] :
( ( object @ SY12 )
=> ( ( is_the @ SY12 @ sK1_F )
=> ( exemplifies_property @ sK1_F @ SY12 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ! [SY12: $i] :
( ( object @ SY12 )
=> ( ( is_the @ SY12 @ sK1_F )
=> ( exemplifies_property @ sK1_F @ SY12 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [X: $i] :
( ( object @ X )
=> ~ ( property @ X ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(18,plain,
( ( ! [X: $i,F: $i] :
( ( exemplifies_property @ F @ X )
=> ( ( property @ F )
& ( object @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(19,plain,
( ( ! [X: $i,F: $i] :
( ( is_the @ X @ F )
=> ( ( property @ F )
& ( object @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(20,plain,
( ( ! [X: $i,F: $i,Y: $i] :
( ( ( object @ X )
& ( property @ F )
& ( object @ Y ) )
=> ( ( ( is_the @ X @ F )
& ( X = Y ) )
=> ( exemplifies_property @ F @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(21,plain,
( ( ? [SY11: $i] :
( ( object @ SY11 )
& ( is_the @ SY11 @ sK1_F ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(22,plain,
( ( property @ sK1_F )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(23,plain,
( ( ~ ! [SY12: $i] :
( ( object @ SY12 )
=> ( ( is_the @ SY12 @ sK1_F )
=> ( exemplifies_property @ sK1_F @ SY12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(24,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( property @ SX1 ) )
| ~ ( object @ SX2 ) )
| ~ ~ ( ~ ( is_the @ SX0 @ SX1 )
| ( SX0 != SX2 ) )
| ( exemplifies_property @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( object @ SX0 )
| ~ ( is_the @ SX0 @ sK1_F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( is_the @ SX0 @ sK1_F )
| ( exemplifies_property @ sK1_F @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(27,plain,
( ( ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( property @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(28,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( is_the @ SX0 @ SX1 )
| ~ ( ~ ( property @ SX1 )
| ~ ( object @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(29,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( exemplifies_property @ SX1 @ SX0 )
| ~ ( ~ ( property @ SX1 )
| ~ ( object @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(30,plain,
! [SV1: $i] :
( ( ! [SY13: $i,SY14: $i] :
( ~ ~ ( ~ ~ ( ~ ( object @ SV1 )
| ~ ( property @ SY13 ) )
| ~ ( object @ SY14 ) )
| ~ ~ ( ~ ( is_the @ SV1 @ SY13 )
| ( SV1 != SY14 ) )
| ( exemplifies_property @ SY13 @ SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(31,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( object @ SX0 )
| ~ ( is_the @ SX0 @ sK1_F ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(32,plain,
( ( ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( is_the @ SX0 @ sK1_F )
| ( exemplifies_property @ sK1_F @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(33,plain,
! [SV2: $i] :
( ( ~ ( object @ SV2 )
| ~ ( property @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(34,plain,
! [SV3: $i] :
( ( ! [SY15: $i] :
( ~ ( is_the @ SV3 @ SY15 )
| ~ ( ~ ( property @ SY15 )
| ~ ( object @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV4: $i] :
( ( ! [SY16: $i] :
( ~ ( exemplifies_property @ SY16 @ SV4 )
| ~ ( ~ ( property @ SY16 )
| ~ ( object @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV5: $i,SV1: $i] :
( ( ! [SY17: $i] :
( ~ ~ ( ~ ~ ( ~ ( object @ SV1 )
| ~ ( property @ SV5 ) )
| ~ ( object @ SY17 ) )
| ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SY17 ) )
| ( exemplifies_property @ SV5 @ SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ~ ( ~ ( object @ sK2_SX0 )
| ~ ( is_the @ sK2_SX0 @ sK1_F ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[31]) ).
thf(38,plain,
( ( ~ ( object @ sK3_SX0 )
| ~ ( is_the @ sK3_SX0 @ sK1_F )
| ( exemplifies_property @ sK1_F @ sK3_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(39,plain,
! [SV2: $i] :
( ( ( ~ ( object @ SV2 ) )
= $true )
| ( ( ~ ( property @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( is_the @ SV3 @ SV6 )
| ~ ( ~ ( property @ SV6 )
| ~ ( object @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV4: $i,SV7: $i] :
( ( ~ ( exemplifies_property @ SV7 @ SV4 )
| ~ ( ~ ( property @ SV7 )
| ~ ( object @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( object @ SV1 )
| ~ ( property @ SV5 ) )
| ~ ( object @ SV8 ) )
| ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( ~ ( object @ sK2_SX0 )
| ~ ( is_the @ sK2_SX0 @ sK1_F ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(44,plain,
( ( ~ ( object @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(45,plain,
( ( ~ ( is_the @ sK3_SX0 @ sK1_F )
| ( exemplifies_property @ sK1_F @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(46,plain,
! [SV2: $i] :
( ( ( object @ SV2 )
= $false )
| ( ( ~ ( property @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( is_the @ SV3 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( property @ SV6 )
| ~ ( object @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( exemplifies_property @ SV7 @ SV4 ) )
= $true )
| ( ( ~ ( ~ ( property @ SV7 )
| ~ ( object @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( object @ SV1 )
| ~ ( property @ SV5 ) )
| ~ ( object @ SV8 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(50,plain,
( ( ~ ( object @ sK2_SX0 )
| ~ ( is_the @ sK2_SX0 @ sK1_F ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(51,plain,
( ( object @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(52,plain,
( ( ~ ( is_the @ sK3_SX0 @ sK1_F ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(53,plain,
( ( exemplifies_property @ sK1_F @ sK3_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(54,plain,
! [SV2: $i] :
( ( ( property @ SV2 )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(55,plain,
! [SV6: $i,SV3: $i] :
( ( ( is_the @ SV3 @ SV6 )
= $false )
| ( ( ~ ( ~ ( property @ SV6 )
| ~ ( object @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV4: $i,SV7: $i] :
( ( ( exemplifies_property @ SV7 @ SV4 )
= $false )
| ( ( ~ ( ~ ( property @ SV7 )
| ~ ( object @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( object @ SV1 )
| ~ ( property @ SV5 ) )
| ~ ( object @ SV8 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(58,plain,
( ( ~ ( object @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(59,plain,
( ( ~ ( is_the @ sK2_SX0 @ sK1_F ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(60,plain,
( ( is_the @ sK3_SX0 @ sK1_F )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(61,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( property @ SV6 )
| ~ ( object @ SV3 ) )
= $false )
| ( ( is_the @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( property @ SV7 )
| ~ ( object @ SV4 ) )
= $false )
| ( ( exemplifies_property @ SV7 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( object @ SV1 )
| ~ ( property @ SV5 ) )
| ~ ( object @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
( ( object @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(65,plain,
( ( is_the @ sK2_SX0 @ sK1_F )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(66,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( property @ SV6 ) )
= $false )
| ( ( is_the @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(67,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( object @ SV3 ) )
= $false )
| ( ( is_the @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(68,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( property @ SV7 ) )
= $false )
| ( ( exemplifies_property @ SV7 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(69,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( object @ SV4 ) )
= $false )
| ( ( exemplifies_property @ SV7 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( object @ SV1 )
| ~ ( property @ SV5 ) ) )
= $true )
| ( ( ~ ( object @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV3: $i,SV6: $i] :
( ( ( property @ SV6 )
= $true )
| ( ( is_the @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(72,plain,
! [SV6: $i,SV3: $i] :
( ( ( object @ SV3 )
= $true )
| ( ( is_the @ SV3 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(73,plain,
! [SV4: $i,SV7: $i] :
( ( ( property @ SV7 )
= $true )
| ( ( exemplifies_property @ SV7 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(74,plain,
! [SV7: $i,SV4: $i] :
( ( ( object @ SV4 )
= $true )
| ( ( exemplifies_property @ SV7 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(75,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( ~ ( object @ SV1 )
| ~ ( property @ SV5 ) ) )
= $false )
| ( ( ~ ( object @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(76,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( object @ SV1 )
| ~ ( property @ SV5 ) )
= $true )
| ( ( ~ ( object @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(77,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( object @ SV1 ) )
= $true )
| ( ( ~ ( property @ SV5 ) )
= $true )
| ( ( ~ ( object @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(78,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( object @ SV1 )
= $false )
| ( ( ~ ( property @ SV5 ) )
= $true )
| ( ( ~ ( object @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(79,plain,
! [SV8: $i,SV1: $i,SV5: $i] :
( ( ( property @ SV5 )
= $false )
| ( ( object @ SV1 )
= $false )
| ( ( ~ ( object @ SV8 ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(80,plain,
! [SV5: $i,SV1: $i,SV8: $i] :
( ( ( object @ SV8 )
= $false )
| ( ( object @ SV1 )
= $false )
| ( ( property @ SV5 )
= $false )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
| ( exemplifies_property @ SV5 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(81,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) ) )
= $true )
| ( ( exemplifies_property @ SV5 @ SV8 )
= $true )
| ( ( property @ SV5 )
= $false )
| ( ( object @ SV1 )
= $false )
| ( ( object @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(82,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) ) )
= $false )
| ( ( exemplifies_property @ SV5 @ SV8 )
= $true )
| ( ( property @ SV5 )
= $false )
| ( ( object @ SV1 )
= $false )
| ( ( object @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(83,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( is_the @ SV1 @ SV5 )
| ( SV1 != SV8 ) )
= $true )
| ( ( exemplifies_property @ SV5 @ SV8 )
= $true )
| ( ( property @ SV5 )
= $false )
| ( ( object @ SV1 )
= $false )
| ( ( object @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(84,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( ~ ( is_the @ SV1 @ SV5 ) )
= $true )
| ( ( SV1 != SV8 )
= $true )
| ( ( exemplifies_property @ SV5 @ SV8 )
= $true )
| ( ( property @ SV5 )
= $false )
| ( ( object @ SV1 )
= $false )
| ( ( object @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(85,plain,
! [SV8: $i,SV5: $i,SV1: $i] :
( ( ( is_the @ SV1 @ SV5 )
= $false )
| ( ( SV1 != SV8 )
= $true )
| ( ( exemplifies_property @ SV5 @ SV8 )
= $true )
| ( ( property @ SV5 )
= $false )
| ( ( object @ SV1 )
= $false )
| ( ( object @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(86,plain,
! [SV5: $i,SV8: $i,SV1: $i] :
( ( ( SV1 = SV8 )
= $false )
| ( ( is_the @ SV1 @ SV5 )
= $false )
| ( ( exemplifies_property @ SV5 @ SV8 )
= $true )
| ( ( property @ SV5 )
= $false )
| ( ( object @ SV1 )
= $false )
| ( ( object @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(87,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,86,74,73,72,71,65,64,60,54,53,51]) ).
thf(88,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n017.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Oct 6 13:45:45 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.21
% 0.07/0.21 No.of.Axioms: 4
% 0.07/0.21
% 0.07/0.21 Length.of.Defs: 0
% 0.07/0.21
% 0.07/0.21 Contains.Choice.Funs: false
% 0.07/0.21 ..
% 0.07/0.21
% 0.07/0.21 ********************************
% 0.07/0.21 * All subproblems solved! *
% 0.07/0.21 ********************************
% 0.07/0.21 % SZS status Theorem for /export/starexec/sandbox2/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:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:87,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.21
% 0.07/0.21 %**** Beginning of derivation protocol ****
% 0.07/0.21 % SZS output start CNFRefutation
% See solution above
% 0.07/0.21
% 0.07/0.21 %**** End of derivation protocol ****
% 0.07/0.21 %**** no. of clauses in derivation: 88 ****
% 0.07/0.21 %**** clause counter: 87 ****
% 0.07/0.21
% 0.07/0.21 % SZS status Theorem for /export/starexec/sandbox2/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:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:87,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------