%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS190+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 : n003.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 10:26:37 AM UTC 2026
% Result : Theorem 0.39s 0.34s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 80 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 492 ( 121 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 1017 ( 188 ~; 152 |; 3 &; 659 @)
% ( 9 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 21 con; 0-3 aty)
% Number of variables : 238 ( 0 ^; 238 !; 0 ?; 238 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cax,type,
cax: $i ).
thf(tp_csa,type,
csa: $i ).
thf(tp_eqv,type,
eqv: $i ).
thf(tp_esa,type,
esa: $i ).
thf(tp_eth,type,
eth: $i ).
thf(tp_isa,type,
isa: $i > $i > $o ).
thf(tp_mighta,type,
mighta: $i > $i > $o ).
thf(tp_model,type,
model: $i > $i > $o ).
thf(tp_nevera,type,
nevera: $i > $i > $o ).
thf(tp_noc,type,
noc: $i ).
thf(tp_not,type,
not: $i > $i ).
thf(tp_nota,type,
nota: $i > $i > $o ).
thf(tp_sK1_SY21,type,
sK1_SY21: $i > $i > $i ).
thf(tp_sK2_SY25,type,
sK2_SY25: $i > $i > $i ).
thf(tp_sK3_SY27,type,
sK3_SY27: $i > $i > $i ).
thf(tp_sK4_SY29,type,
sK4_SY29: $i > $i > $i ).
thf(tp_sap,type,
sap: $i ).
thf(tp_sat,type,
sat: $i ).
thf(tp_sca,type,
sca: $i ).
thf(tp_status,type,
status: $i > $i > $i > $o ).
thf(tp_tac,type,
tac: $i ).
thf(tp_tau,type,
tau: $i ).
thf(tp_tca,type,
tca: $i ).
thf(tp_thm,type,
thm: $i ).
thf(tp_unp,type,
unp: $i ).
thf(tp_uns,type,
uns: $i ).
thf(tp_wca,type,
wca: $i ).
thf(tp_wec,type,
wec: $i ).
thf(tp_wtc,type,
wtc: $i ).
thf(tp_wth,type,
wth: $i ).
thf(tp_xora,type,
xora: $i > $i > $o ).
thf(12,axiom,
! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
=> ( status @ Ax @ C @ S2 ) )
<=> ( isa @ S1 @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
thf(23,axiom,
! [Ax: $i,C: $i] :
( ! [I1: $i] :
( ( model @ I1 @ Ax )
& ( model @ I1 @ C ) )
<=> ( status @ Ax @ C @ tau ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tau) ).
thf(28,axiom,
! [Ax: $i,C: $i] :
( ! [I1: $i] :
( ( model @ I1 @ Ax )
=> ( model @ I1 @ C ) )
<=> ( status @ Ax @ C @ thm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(33,conjecture,
isa @ tau @ thm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_tau_thm) ).
thf(34,negated_conjecture,
( ( isa @ tau @ thm )
= $false ),
inference(negate_conjecture,[status(cth)],[33]) ).
thf(35,plain,
( ( isa @ tau @ thm )
= $false ),
inference(unfold_def,[status(thm)],[34]) ).
thf(36,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
=> ( status @ Ax @ C @ S2 ) )
<=> ( isa @ S1 @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(37,plain,
( ( ! [Ax: $i,C: $i] :
( ! [I1: $i] :
( ( model @ I1 @ Ax )
& ( model @ I1 @ C ) )
<=> ( status @ Ax @ C @ tau ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(38,plain,
( ( ! [Ax: $i,C: $i] :
( ! [I1: $i] :
( ( model @ I1 @ Ax )
=> ( model @ I1 @ C ) )
<=> ( status @ Ax @ C @ thm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(39,plain,
( ( ~ ( isa @ tau @ thm ) )
= $true ),
inference(polarity_switch,[status(thm)],[35]) ).
thf(40,plain,
( ( ! [Ax: $i,C: $i] :
( ! [I1: $i] :
( ( model @ I1 @ Ax )
=> ( model @ I1 @ C ) )
<=> ( status @ Ax @ C @ thm ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(41,plain,
( ( ! [Ax: $i,C: $i] :
( ! [I1: $i] :
( ( model @ I1 @ Ax )
& ( model @ I1 @ C ) )
<=> ( status @ Ax @ C @ tau ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(42,plain,
( ( ! [S1: $i,S2: $i] :
( ! [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
=> ( status @ Ax @ C @ S2 ) )
<=> ( isa @ S1 @ S2 ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( isa @ tau @ thm ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(44,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) )
| ( isa @ SX0 @ SX1 ) )
| ~ ( ~ ( isa @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( status @ SX2 @ SX3 @ SX0 )
| ( status @ SX2 @ SX3 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(45,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i] :
~ ( ~ ( model @ SX2 @ SX0 )
| ~ ( model @ SX2 @ SX1 ) )
| ( status @ SX0 @ SX1 @ tau ) )
| ~ ( ~ ( status @ SX0 @ SX1 @ tau )
| ! [SX2: $i] :
~ ( ~ ( model @ SX2 @ SX0 )
| ~ ( model @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(46,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i] :
( ~ ( model @ SX2 @ SX0 )
| ( model @ SX2 @ SX1 ) )
| ( status @ SX0 @ SX1 @ thm ) )
| ~ ( ~ ( status @ SX0 @ SX1 @ thm )
| ! [SX2: $i] :
( ~ ( model @ SX2 @ SX0 )
| ( model @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(47,plain,
( ( isa @ tau @ thm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV1: $i] :
( ( ! [SY10: $i] :
~ ( ~ ( ~ ! [SY11: $i,SY12: $i] :
( ~ ( status @ SY11 @ SY12 @ SV1 )
| ( status @ SY11 @ SY12 @ SY10 ) )
| ( isa @ SV1 @ SY10 ) )
| ~ ( ~ ( isa @ SV1 @ SY10 )
| ! [SY13: $i,SY14: $i] :
( ~ ( status @ SY13 @ SY14 @ SV1 )
| ( status @ SY13 @ SY14 @ SY10 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV2: $i] :
( ( ! [SY15: $i] :
~ ( ~ ( ~ ! [SY16: $i] :
~ ( ~ ( model @ SY16 @ SV2 )
| ~ ( model @ SY16 @ SY15 ) )
| ( status @ SV2 @ SY15 @ tau ) )
| ~ ( ~ ( status @ SV2 @ SY15 @ tau )
| ! [SY17: $i] :
~ ( ~ ( model @ SY17 @ SV2 )
| ~ ( model @ SY17 @ SY15 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV3: $i] :
( ( ! [SY18: $i] :
~ ( ~ ( ~ ! [SY19: $i] :
( ~ ( model @ SY19 @ SV3 )
| ( model @ SY19 @ SY18 ) )
| ( status @ SV3 @ SY18 @ thm ) )
| ~ ( ~ ( status @ SV3 @ SY18 @ thm )
| ! [SY20: $i] :
( ~ ( model @ SY20 @ SV3 )
| ( model @ SY20 @ SY18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ! [SY21: $i,SY22: $i] :
( ~ ( status @ SY21 @ SY22 @ SV1 )
| ( status @ SY21 @ SY22 @ SV4 ) )
| ( isa @ SV1 @ SV4 ) )
| ~ ( ~ ( isa @ SV1 @ SV4 )
| ! [SY23: $i,SY24: $i] :
( ~ ( status @ SY23 @ SY24 @ SV1 )
| ( status @ SY23 @ SY24 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ! [SY25: $i] :
~ ( ~ ( model @ SY25 @ SV2 )
| ~ ( model @ SY25 @ SV5 ) )
| ( status @ SV2 @ SV5 @ tau ) )
| ~ ( ~ ( status @ SV2 @ SV5 @ tau )
| ! [SY26: $i] :
~ ( ~ ( model @ SY26 @ SV2 )
| ~ ( model @ SY26 @ SV5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ! [SY27: $i] :
( ~ ( model @ SY27 @ SV3 )
| ( model @ SY27 @ SV6 ) )
| ( status @ SV3 @ SV6 @ thm ) )
| ~ ( ~ ( status @ SV3 @ SV6 @ thm )
| ! [SY28: $i] :
( ~ ( model @ SY28 @ SV3 )
| ( model @ SY28 @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( ~ ! [SY21: $i,SY22: $i] :
( ~ ( status @ SY21 @ SY22 @ SV1 )
| ( status @ SY21 @ SY22 @ SV4 ) )
| ( isa @ SV1 @ SV4 ) )
| ~ ( ~ ( isa @ SV1 @ SV4 )
| ! [SY23: $i,SY24: $i] :
( ~ ( status @ SY23 @ SY24 @ SV1 )
| ( status @ SY23 @ SY24 @ SV4 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( ~ ! [SY25: $i] :
~ ( ~ ( model @ SY25 @ SV2 )
| ~ ( model @ SY25 @ SV5 ) )
| ( status @ SV2 @ SV5 @ tau ) )
| ~ ( ~ ( status @ SV2 @ SV5 @ tau )
| ! [SY26: $i] :
~ ( ~ ( model @ SY26 @ SV2 )
| ~ ( model @ SY26 @ SV5 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( ~ ! [SY27: $i] :
( ~ ( model @ SY27 @ SV3 )
| ( model @ SY27 @ SV6 ) )
| ( status @ SV3 @ SV6 @ thm ) )
| ~ ( ~ ( status @ SV3 @ SV6 @ thm )
| ! [SY28: $i] :
( ~ ( model @ SY28 @ SV3 )
| ( model @ SY28 @ SV6 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( ~ ! [SY21: $i,SY22: $i] :
( ~ ( status @ SY21 @ SY22 @ SV1 )
| ( status @ SY21 @ SY22 @ SV4 ) )
| ( isa @ SV1 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(58,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( ~ ( isa @ SV1 @ SV4 )
| ! [SY23: $i,SY24: $i] :
( ~ ( status @ SY23 @ SY24 @ SV1 )
| ( status @ SY23 @ SY24 @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( ~ ! [SY25: $i] :
~ ( ~ ( model @ SY25 @ SV2 )
| ~ ( model @ SY25 @ SV5 ) )
| ( status @ SV2 @ SV5 @ tau ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( ~ ( status @ SV2 @ SV5 @ tau )
| ! [SY26: $i] :
~ ( ~ ( model @ SY26 @ SV2 )
| ~ ( model @ SY26 @ SV5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(61,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( ~ ! [SY27: $i] :
( ~ ( model @ SY27 @ SV3 )
| ( model @ SY27 @ SV6 ) )
| ( status @ SV3 @ SV6 @ thm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(62,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( ~ ( status @ SV3 @ SV6 @ thm )
| ! [SY28: $i] :
( ~ ( model @ SY28 @ SV3 )
| ( model @ SY28 @ SV6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(63,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ! [SY21: $i,SY22: $i] :
( ~ ( status @ SY21 @ SY22 @ SV1 )
| ( status @ SY21 @ SY22 @ SV4 ) )
| ( isa @ SV1 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( isa @ SV1 @ SV4 )
| ! [SY23: $i,SY24: $i] :
( ~ ( status @ SY23 @ SY24 @ SV1 )
| ( status @ SY23 @ SY24 @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(65,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ! [SY25: $i] :
~ ( ~ ( model @ SY25 @ SV2 )
| ~ ( model @ SY25 @ SV5 ) )
| ( status @ SV2 @ SV5 @ tau ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(66,plain,
! [SV5: $i,SV2: $i] :
( ( ~ ( status @ SV2 @ SV5 @ tau )
| ! [SY26: $i] :
~ ( ~ ( model @ SY26 @ SV2 )
| ~ ( model @ SY26 @ SV5 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(67,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ! [SY27: $i] :
( ~ ( model @ SY27 @ SV3 )
| ( model @ SY27 @ SV6 ) )
| ( status @ SV3 @ SV6 @ thm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(68,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( status @ SV3 @ SV6 @ thm )
| ! [SY28: $i] :
( ~ ( model @ SY28 @ SV3 )
| ( model @ SY28 @ SV6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(69,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ! [SY21: $i,SY22: $i] :
( ~ ( status @ SY21 @ SY22 @ SV1 )
| ( status @ SY21 @ SY22 @ SV4 ) ) )
= $true )
| ( ( isa @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(70,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( isa @ SV1 @ SV4 ) )
= $true )
| ( ( ! [SY23: $i,SY24: $i] :
( ~ ( status @ SY23 @ SY24 @ SV1 )
| ( status @ SY23 @ SY24 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(71,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ! [SY25: $i] :
~ ( ~ ( model @ SY25 @ SV2 )
| ~ ( model @ SY25 @ SV5 ) ) )
= $true )
| ( ( status @ SV2 @ SV5 @ tau )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV5: $i,SV2: $i] :
( ( ( ~ ( status @ SV2 @ SV5 @ tau ) )
= $true )
| ( ( ! [SY26: $i] :
~ ( ~ ( model @ SY26 @ SV2 )
| ~ ( model @ SY26 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(73,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ! [SY27: $i] :
( ~ ( model @ SY27 @ SV3 )
| ( model @ SY27 @ SV6 ) ) )
= $true )
| ( ( status @ SV3 @ SV6 @ thm )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(74,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( status @ SV3 @ SV6 @ thm ) )
= $true )
| ( ( ! [SY28: $i] :
( ~ ( model @ SY28 @ SV3 )
| ( model @ SY28 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(75,plain,
! [SV4: $i,SV1: $i] :
( ( ( ! [SY21: $i,SY22: $i] :
( ~ ( status @ SY21 @ SY22 @ SV1 )
| ( status @ SY21 @ SY22 @ SV4 ) ) )
= $false )
| ( ( isa @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV4: $i,SV1: $i] :
( ( ( isa @ SV1 @ SV4 )
= $false )
| ( ( ! [SY23: $i,SY24: $i] :
( ~ ( status @ SY23 @ SY24 @ SV1 )
| ( status @ SY23 @ SY24 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV5: $i,SV2: $i] :
( ( ( ! [SY25: $i] :
~ ( ~ ( model @ SY25 @ SV2 )
| ~ ( model @ SY25 @ SV5 ) ) )
= $false )
| ( ( status @ SV2 @ SV5 @ tau )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV5: $i,SV2: $i] :
( ( ( status @ SV2 @ SV5 @ tau )
= $false )
| ( ( ! [SY26: $i] :
~ ( ~ ( model @ SY26 @ SV2 )
| ~ ( model @ SY26 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV6: $i,SV3: $i] :
( ( ( ! [SY27: $i] :
( ~ ( model @ SY27 @ SV3 )
| ( model @ SY27 @ SV6 ) ) )
= $false )
| ( ( status @ SV3 @ SV6 @ thm )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV6: $i,SV3: $i] :
( ( ( status @ SV3 @ SV6 @ thm )
= $false )
| ( ( ! [SY28: $i] :
( ~ ( model @ SY28 @ SV3 )
| ( model @ SY28 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(81,plain,
! [SV1: $i,SV4: $i] :
( ( ( ! [SY29: $i] :
( ~ ( status @ ( sK1_SY21 @ SV4 @ SV1 ) @ SY29 @ SV1 )
| ( status @ ( sK1_SY21 @ SV4 @ SV1 ) @ SY29 @ SV4 ) ) )
= $false )
| ( ( isa @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(82,plain,
! [SV4: $i,SV1: $i,SV7: $i] :
( ( ( ! [SY30: $i] :
( ~ ( status @ SV7 @ SY30 @ SV1 )
| ( status @ SV7 @ SY30 @ SV4 ) ) )
= $true )
| ( ( isa @ SV1 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(83,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ( ~ ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV2 )
| ~ ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV5 ) ) )
= $false )
| ( ( status @ SV2 @ SV5 @ tau )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[77]) ).
thf(84,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( model @ SV8 @ SV2 )
| ~ ( model @ SV8 @ SV5 ) ) )
= $true )
| ( ( status @ SV2 @ SV5 @ tau )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( model @ ( sK3_SY27 @ SV6 @ SV3 ) @ SV3 )
| ( model @ ( sK3_SY27 @ SV6 @ SV3 ) @ SV6 ) )
= $false )
| ( ( status @ SV3 @ SV6 @ thm )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[79]) ).
thf(86,plain,
! [SV6: $i,SV3: $i,SV9: $i] :
( ( ( ~ ( model @ SV9 @ SV3 )
| ( model @ SV9 @ SV6 ) )
= $true )
| ( ( status @ SV3 @ SV6 @ thm )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV1: $i,SV4: $i] :
( ( ( ~ ( status @ ( sK1_SY21 @ SV4 @ SV1 ) @ ( sK4_SY29 @ SV1 @ SV4 ) @ SV1 )
| ( status @ ( sK1_SY21 @ SV4 @ SV1 ) @ ( sK4_SY29 @ SV1 @ SV4 ) @ SV4 ) )
= $false )
| ( ( isa @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[81]) ).
thf(88,plain,
! [SV4: $i,SV1: $i,SV10: $i,SV7: $i] :
( ( ( ~ ( status @ SV7 @ SV10 @ SV1 )
| ( status @ SV7 @ SV10 @ SV4 ) )
= $true )
| ( ( isa @ SV1 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV2 )
| ~ ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV5 ) )
= $true )
| ( ( status @ SV2 @ SV5 @ tau )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(90,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( ~ ( model @ SV8 @ SV2 )
| ~ ( model @ SV8 @ SV5 ) )
= $false )
| ( ( status @ SV2 @ SV5 @ tau )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(91,plain,
! [SV3: $i,SV6: $i] :
( ( ( ~ ( model @ ( sK3_SY27 @ SV6 @ SV3 ) @ SV3 ) )
= $false )
| ( ( status @ SV3 @ SV6 @ thm )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(92,plain,
! [SV3: $i,SV6: $i] :
( ( ( model @ ( sK3_SY27 @ SV6 @ SV3 ) @ SV6 )
= $false )
| ( ( status @ SV3 @ SV6 @ thm )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(93,plain,
! [SV6: $i,SV3: $i,SV9: $i] :
( ( ( ~ ( model @ SV9 @ SV3 ) )
= $true )
| ( ( model @ SV9 @ SV6 )
= $true )
| ( ( status @ SV3 @ SV6 @ thm )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(94,plain,
! [SV1: $i,SV4: $i] :
( ( ( ~ ( status @ ( sK1_SY21 @ SV4 @ SV1 ) @ ( sK4_SY29 @ SV1 @ SV4 ) @ SV1 ) )
= $false )
| ( ( isa @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(95,plain,
! [SV1: $i,SV4: $i] :
( ( ( status @ ( sK1_SY21 @ SV4 @ SV1 ) @ ( sK4_SY29 @ SV1 @ SV4 ) @ SV4 )
= $false )
| ( ( isa @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(96,plain,
! [SV4: $i,SV1: $i,SV10: $i,SV7: $i] :
( ( ( ~ ( status @ SV7 @ SV10 @ SV1 ) )
= $true )
| ( ( status @ SV7 @ SV10 @ SV4 )
= $true )
| ( ( isa @ SV1 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV2 ) )
= $true )
| ( ( ~ ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV5 ) )
= $true )
| ( ( status @ SV2 @ SV5 @ tau )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( ~ ( model @ SV8 @ SV2 ) )
= $false )
| ( ( status @ SV2 @ SV5 @ tau )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(99,plain,
! [SV2: $i,SV5: $i,SV8: $i] :
( ( ( ~ ( model @ SV8 @ SV5 ) )
= $false )
| ( ( status @ SV2 @ SV5 @ tau )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(100,plain,
! [SV3: $i,SV6: $i] :
( ( ( model @ ( sK3_SY27 @ SV6 @ SV3 ) @ SV3 )
= $true )
| ( ( status @ SV3 @ SV6 @ thm )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(101,plain,
! [SV6: $i,SV3: $i,SV9: $i] :
( ( ( model @ SV9 @ SV3 )
= $false )
| ( ( model @ SV9 @ SV6 )
= $true )
| ( ( status @ SV3 @ SV6 @ thm )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(102,plain,
! [SV1: $i,SV4: $i] :
( ( ( status @ ( sK1_SY21 @ SV4 @ SV1 ) @ ( sK4_SY29 @ SV1 @ SV4 ) @ SV1 )
= $true )
| ( ( isa @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(103,plain,
! [SV4: $i,SV1: $i,SV10: $i,SV7: $i] :
( ( ( status @ SV7 @ SV10 @ SV1 )
= $false )
| ( ( status @ SV7 @ SV10 @ SV4 )
= $true )
| ( ( isa @ SV1 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(104,plain,
! [SV2: $i,SV5: $i] :
( ( ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV2 )
= $false )
| ( ( ~ ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV5 ) )
= $true )
| ( ( status @ SV2 @ SV5 @ tau )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(105,plain,
! [SV5: $i,SV2: $i,SV8: $i] :
( ( ( model @ SV8 @ SV2 )
= $true )
| ( ( status @ SV2 @ SV5 @ tau )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(106,plain,
! [SV2: $i,SV5: $i,SV8: $i] :
( ( ( model @ SV8 @ SV5 )
= $true )
| ( ( status @ SV2 @ SV5 @ tau )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(107,plain,
! [SV2: $i,SV5: $i] :
( ( ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV5 )
= $false )
| ( ( model @ ( sK2_SY25 @ SV5 @ SV2 ) @ SV2 )
= $false )
| ( ( status @ SV2 @ SV5 @ tau )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(108,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[47,107,106,105,103,102,101,100,95,92]) ).
thf(109,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS190+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.21 % Computer : n003.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Tue Oct 6 11:44:09 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.34
% 0.39/0.34 No.of.Axioms: 3
% 0.39/0.34
% 0.39/0.34 Length.of.Defs: 0
% 0.39/0.34
% 0.39/0.34 Contains.Choice.Funs: false
% 0.39/0.34 ..
% 0.39/0.34
% 0.39/0.34 ********************************
% 0.39/0.34 * All subproblems solved! *
% 0.39/0.34 ********************************
% 0.39/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:3,ps:0,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:108,loop_count:0,foatp_calls:1,translation:fof_full).
% 0.39/0.34
% 0.39/0.34
% 0.39/0.34 %**** Beginning of derivation protocol ****
% 0.39/0.34 % SZS output start CNFRefutation
% See solution above
% 0.39/0.35
% 0.39/0.35 %**** End of derivation protocol ****
% 0.39/0.35 %**** no. of clauses in derivation: 80 ****
% 0.39/0.35 %**** clause counter: 108 ****
% 0.39/0.35
% 0.39/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:3,ps:0,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:108,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------