%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS181+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 : n009.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 10:26:36 AM UTC 2026
% Result : Theorem 0.11s 0.23s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 78 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 470 ( 120 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 1113 ( 293 ~; 128 |; 9 &; 668 @)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 248 ( 0 ^; 242 !; 6 ?; 248 :)
% Comments :
%------------------------------------------------------------------------------
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_not,type,
not: $i > $i ).
thf(tp_nota,type,
nota: $i > $i > $o ).
thf(tp_sK1_S1,type,
sK1_S1: $i ).
thf(tp_sK2_SY11,type,
sK2_SY11: $i ).
thf(tp_sK3_SY13,type,
sK3_SY13: $i ).
thf(tp_sK4_SY24,type,
sK4_SY24: $i > $i > $i ).
thf(tp_sK5_SY32,type,
sK5_SY32: $i > $i > $i ).
thf(tp_sK6_SY30,type,
sK6_SY30: $i > $i > $i ).
thf(tp_sK7_SY35,type,
sK7_SY35: $i > $i > $i ).
thf(tp_status,type,
status: $i > $i > $i > $o ).
thf(tp_xora,type,
xora: $i > $i > $o ).
thf(11,axiom,
! [S1: $i,S2: $i] :
( ? [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
& ~ ( status @ Ax @ C @ S2 ) )
<=> ( nota @ S1 @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
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(14,conjecture,
! [S1: $i,S2: $i,S3: $i] :
( ( ( isa @ S1 @ S2 )
& ( nota @ S1 @ S3 ) )
=> ( nota @ S2 @ S3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_isa_nota) ).
thf(15,negated_conjecture,
( ( ! [S1: $i,S2: $i,S3: $i] :
( ( ( isa @ S1 @ S2 )
& ( nota @ S1 @ S3 ) )
=> ( nota @ S2 @ S3 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[14]) ).
thf(16,plain,
( ( ! [S1: $i,S2: $i,S3: $i] :
( ( ( isa @ S1 @ S2 )
& ( nota @ S1 @ S3 ) )
=> ( nota @ S2 @ S3 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [S1: $i,S2: $i] :
( ? [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
& ~ ( status @ Ax @ C @ S2 ) )
<=> ( nota @ S1 @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(18,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(19,plain,
( ( ! [SY11: $i,SY12: $i] :
( ( ( isa @ sK1_S1 @ SY11 )
& ( nota @ sK1_S1 @ SY12 ) )
=> ( nota @ SY11 @ SY12 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(20,plain,
( ( ! [SY13: $i] :
( ( ( isa @ sK1_S1 @ sK2_SY11 )
& ( nota @ sK1_S1 @ SY13 ) )
=> ( nota @ sK2_SY11 @ SY13 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[19]) ).
thf(21,plain,
( ( ( ( isa @ sK1_S1 @ sK2_SY11 )
& ( nota @ sK1_S1 @ sK3_SY13 ) )
=> ( nota @ sK2_SY11 @ sK3_SY13 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(22,plain,
( ( isa @ sK1_S1 @ sK2_SY11 )
= $true ),
inference(standard_cnf,[status(thm)],[21]) ).
thf(23,plain,
( ( nota @ sK1_S1 @ sK3_SY13 )
= $true ),
inference(standard_cnf,[status(thm)],[21]) ).
thf(24,plain,
( ( nota @ sK2_SY11 @ sK3_SY13 )
= $false ),
inference(standard_cnf,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( nota @ sK2_SY11 @ sK3_SY13 ) )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(26,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)],[18]) ).
thf(27,plain,
( ( ! [S1: $i,S2: $i] :
( ? [Ax: $i,C: $i] :
( ( status @ Ax @ C @ S1 )
& ~ ( status @ Ax @ C @ S2 ) )
<=> ( nota @ S1 @ S2 ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(28,plain,
( ( nota @ sK1_S1 @ sK3_SY13 )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(29,plain,
( ( isa @ sK1_S1 @ sK2_SY11 )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(30,plain,
( ( ~ ( nota @ sK2_SY11 @ sK3_SY13 ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(31,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)],[26]) ).
thf(32,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ~ ( status @ SX2 @ SX3 @ SX1 ) )
| ( nota @ SX0 @ SX1 ) )
| ~ ( ~ ( nota @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ( status @ SX2 @ SX3 @ SX0 )
| ~ ~ ( status @ SX2 @ SX3 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(33,plain,
( ( nota @ sK2_SY11 @ sK3_SY13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV1: $i] :
( ( ! [SY14: $i] :
~ ( ~ ( ~ ! [SY15: $i,SY16: $i] :
( ~ ( status @ SY15 @ SY16 @ SV1 )
| ( status @ SY15 @ SY16 @ SY14 ) )
| ( isa @ SV1 @ SY14 ) )
| ~ ( ~ ( isa @ SV1 @ SY14 )
| ! [SY17: $i,SY18: $i] :
( ~ ( status @ SY17 @ SY18 @ SV1 )
| ( status @ SY17 @ SY18 @ SY14 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: $i] :
( ( ! [SY19: $i] :
~ ( ~ ( ~ ~ ! [SY20: $i] :
~ ~ ! [SY21: $i] :
~ ~ ( ~ ( status @ SY20 @ SY21 @ SV2 )
| ~ ~ ( status @ SY20 @ SY21 @ SY19 ) )
| ( nota @ SV2 @ SY19 ) )
| ~ ( ~ ( nota @ SV2 @ SY19 )
| ~ ! [SY22: $i] :
~ ~ ! [SY23: $i] :
~ ~ ( ~ ( status @ SY22 @ SY23 @ SV2 )
| ~ ~ ( status @ SY22 @ SY23 @ SY19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ! [SY24: $i,SY25: $i] :
( ~ ( status @ SY24 @ SY25 @ SV1 )
| ( status @ SY24 @ SY25 @ SV3 ) )
| ( isa @ SV1 @ SV3 ) )
| ~ ( ~ ( isa @ SV1 @ SV3 )
| ! [SY26: $i,SY27: $i] :
( ~ ( status @ SY26 @ SY27 @ SV1 )
| ( status @ SY26 @ SY27 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY28: $i] :
~ ~ ! [SY29: $i] :
~ ~ ( ~ ( status @ SY28 @ SY29 @ SV2 )
| ~ ~ ( status @ SY28 @ SY29 @ SV4 ) )
| ( nota @ SV2 @ SV4 ) )
| ~ ( ~ ( nota @ SV2 @ SV4 )
| ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ( status @ SY30 @ SY31 @ SV2 )
| ~ ~ ( status @ SY30 @ SY31 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( ~ ! [SY24: $i,SY25: $i] :
( ~ ( status @ SY24 @ SY25 @ SV1 )
| ( status @ SY24 @ SY25 @ SV3 ) )
| ( isa @ SV1 @ SV3 ) )
| ~ ( ~ ( isa @ SV1 @ SV3 )
| ! [SY26: $i,SY27: $i] :
( ~ ( status @ SY26 @ SY27 @ SV1 )
| ( status @ SY26 @ SY27 @ SV3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( ~ ~ ! [SY28: $i] :
~ ~ ! [SY29: $i] :
~ ~ ( ~ ( status @ SY28 @ SY29 @ SV2 )
| ~ ~ ( status @ SY28 @ SY29 @ SV4 ) )
| ( nota @ SV2 @ SV4 ) )
| ~ ( ~ ( nota @ SV2 @ SV4 )
| ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ( status @ SY30 @ SY31 @ SV2 )
| ~ ~ ( status @ SY30 @ SY31 @ SV4 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( ~ ! [SY24: $i,SY25: $i] :
( ~ ( status @ SY24 @ SY25 @ SV1 )
| ( status @ SY24 @ SY25 @ SV3 ) )
| ( isa @ SV1 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(41,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( ~ ( isa @ SV1 @ SV3 )
| ! [SY26: $i,SY27: $i] :
( ~ ( status @ SY26 @ SY27 @ SV1 )
| ( status @ SY26 @ SY27 @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(42,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( ~ ~ ! [SY28: $i] :
~ ~ ! [SY29: $i] :
~ ~ ( ~ ( status @ SY28 @ SY29 @ SV2 )
| ~ ~ ( status @ SY28 @ SY29 @ SV4 ) )
| ( nota @ SV2 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( ~ ( nota @ SV2 @ SV4 )
| ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ( status @ SY30 @ SY31 @ SV2 )
| ~ ~ ( status @ SY30 @ SY31 @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ! [SY24: $i,SY25: $i] :
( ~ ( status @ SY24 @ SY25 @ SV1 )
| ( status @ SY24 @ SY25 @ SV3 ) )
| ( isa @ SV1 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV3: $i,SV1: $i] :
( ( ~ ( isa @ SV1 @ SV3 )
| ! [SY26: $i,SY27: $i] :
( ~ ( status @ SY26 @ SY27 @ SV1 )
| ( status @ SY26 @ SY27 @ SV3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ~ ! [SY28: $i] :
~ ~ ! [SY29: $i] :
~ ~ ( ~ ( status @ SY28 @ SY29 @ SV2 )
| ~ ~ ( status @ SY28 @ SY29 @ SV4 ) )
| ( nota @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( nota @ SV2 @ SV4 )
| ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ( status @ SY30 @ SY31 @ SV2 )
| ~ ~ ( status @ SY30 @ SY31 @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(48,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ! [SY24: $i,SY25: $i] :
( ~ ( status @ SY24 @ SY25 @ SV1 )
| ( status @ SY24 @ SY25 @ SV3 ) ) )
= $true )
| ( ( isa @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV3: $i,SV1: $i] :
( ( ( ~ ( isa @ SV1 @ SV3 ) )
= $true )
| ( ( ! [SY26: $i,SY27: $i] :
( ~ ( status @ SY26 @ SY27 @ SV1 )
| ( status @ SY26 @ SY27 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ~ ! [SY28: $i] :
~ ~ ! [SY29: $i] :
~ ~ ( ~ ( status @ SY28 @ SY29 @ SV2 )
| ~ ~ ( status @ SY28 @ SY29 @ SV4 ) ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( nota @ SV2 @ SV4 ) )
= $true )
| ( ( ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ( status @ SY30 @ SY31 @ SV2 )
| ~ ~ ( status @ SY30 @ SY31 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV3: $i,SV1: $i] :
( ( ( ! [SY24: $i,SY25: $i] :
( ~ ( status @ SY24 @ SY25 @ SV1 )
| ( status @ SY24 @ SY25 @ SV3 ) ) )
= $false )
| ( ( isa @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV3: $i,SV1: $i] :
( ( ( isa @ SV1 @ SV3 )
= $false )
| ( ( ! [SY26: $i,SY27: $i] :
( ~ ( status @ SY26 @ SY27 @ SV1 )
| ( status @ SY26 @ SY27 @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ! [SY28: $i] :
~ ~ ! [SY29: $i] :
~ ~ ( ~ ( status @ SY28 @ SY29 @ SV2 )
| ~ ~ ( status @ SY28 @ SY29 @ SV4 ) ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV4: $i,SV2: $i] :
( ( ( nota @ SV2 @ SV4 )
= $false )
| ( ( ~ ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ( status @ SY30 @ SY31 @ SV2 )
| ~ ~ ( status @ SY30 @ SY31 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV1: $i,SV3: $i] :
( ( ( ! [SY32: $i] :
( ~ ( status @ ( sK4_SY24 @ SV3 @ SV1 ) @ SY32 @ SV1 )
| ( status @ ( sK4_SY24 @ SV3 @ SV1 ) @ SY32 @ SV3 ) ) )
= $false )
| ( ( isa @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(57,plain,
! [SV3: $i,SV1: $i,SV5: $i] :
( ( ( ! [SY33: $i] :
( ~ ( status @ SV5 @ SY33 @ SV1 )
| ( status @ SV5 @ SY33 @ SV3 ) ) )
= $true )
| ( ( isa @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SY28: $i] :
~ ~ ! [SY29: $i] :
~ ~ ( ~ ( status @ SY28 @ SY29 @ SV2 )
| ~ ~ ( status @ SY28 @ SY29 @ SV4 ) ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(59,plain,
! [SV4: $i,SV2: $i] :
( ( ( ! [SY30: $i] :
~ ~ ! [SY31: $i] :
~ ~ ( ~ ( status @ SY30 @ SY31 @ SV2 )
| ~ ~ ( status @ SY30 @ SY31 @ SV4 ) ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( status @ ( sK4_SY24 @ SV3 @ SV1 ) @ ( sK5_SY32 @ SV1 @ SV3 ) @ SV1 )
| ( status @ ( sK4_SY24 @ SV3 @ SV1 ) @ ( sK5_SY32 @ SV1 @ SV3 ) @ SV3 ) )
= $false )
| ( ( isa @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(61,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV5: $i] :
( ( ( ~ ( status @ SV5 @ SV6 @ SV1 )
| ( status @ SV5 @ SV6 @ SV3 ) )
= $true )
| ( ( isa @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV4: $i,SV2: $i,SV7: $i] :
( ( ( ~ ~ ! [SY34: $i] :
~ ~ ( ~ ( status @ SV7 @ SY34 @ SV2 )
| ~ ~ ( status @ SV7 @ SY34 @ SV4 ) ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ~ ! [SY35: $i] :
~ ~ ( ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ SY35 @ SV2 )
| ~ ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ SY35 @ SV4 ) ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[59]) ).
thf(64,plain,
! [SV1: $i,SV3: $i] :
( ( ( ~ ( status @ ( sK4_SY24 @ SV3 @ SV1 ) @ ( sK5_SY32 @ SV1 @ SV3 ) @ SV1 ) )
= $false )
| ( ( isa @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(65,plain,
! [SV1: $i,SV3: $i] :
( ( ( status @ ( sK4_SY24 @ SV3 @ SV1 ) @ ( sK5_SY32 @ SV1 @ SV3 ) @ SV3 )
= $false )
| ( ( isa @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(66,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV5: $i] :
( ( ( ~ ( status @ SV5 @ SV6 @ SV1 ) )
= $true )
| ( ( status @ SV5 @ SV6 @ SV3 )
= $true )
| ( ( isa @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV4: $i,SV2: $i,SV7: $i] :
( ( ( ~ ! [SY34: $i] :
~ ~ ( ~ ( status @ SV7 @ SY34 @ SV2 )
| ~ ~ ( status @ SV7 @ SY34 @ SV4 ) ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(68,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ! [SY35: $i] :
~ ~ ( ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ SY35 @ SV2 )
| ~ ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ SY35 @ SV4 ) ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(69,plain,
! [SV1: $i,SV3: $i] :
( ( ( status @ ( sK4_SY24 @ SV3 @ SV1 ) @ ( sK5_SY32 @ SV1 @ SV3 ) @ SV1 )
= $true )
| ( ( isa @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV3: $i,SV1: $i,SV6: $i,SV5: $i] :
( ( ( status @ SV5 @ SV6 @ SV1 )
= $false )
| ( ( status @ SV5 @ SV6 @ SV3 )
= $true )
| ( ( isa @ SV1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV4: $i,SV2: $i,SV7: $i] :
( ( ( ! [SY34: $i] :
~ ~ ( ~ ( status @ SV7 @ SY34 @ SV2 )
| ~ ~ ( status @ SV7 @ SY34 @ SV4 ) ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(72,plain,
! [SV2: $i,SV4: $i] :
( ( ( ! [SY35: $i] :
~ ~ ( ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ SY35 @ SV2 )
| ~ ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ SY35 @ SV4 ) ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(73,plain,
! [SV4: $i,SV2: $i,SV8: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( status @ SV7 @ SV8 @ SV2 )
| ~ ~ ( status @ SV7 @ SV8 @ SV4 ) ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV2 )
| ~ ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV4 ) ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[72]) ).
thf(75,plain,
! [SV4: $i,SV2: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( ~ ( status @ SV7 @ SV8 @ SV2 )
| ~ ~ ( status @ SV7 @ SV8 @ SV4 ) ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV2 )
| ~ ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV4 ) ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(77,plain,
! [SV4: $i,SV2: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( status @ SV7 @ SV8 @ SV2 )
| ~ ~ ( status @ SV7 @ SV8 @ SV4 ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(78,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV2 )
| ~ ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV4 ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV4: $i,SV2: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( status @ SV7 @ SV8 @ SV2 ) )
= $true )
| ( ( ~ ~ ( status @ SV7 @ SV8 @ SV4 ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV2 ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(81,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV4 ) )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(82,plain,
! [SV4: $i,SV2: $i,SV8: $i,SV7: $i] :
( ( ( status @ SV7 @ SV8 @ SV2 )
= $false )
| ( ( ~ ~ ( status @ SV7 @ SV8 @ SV4 ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV2: $i,SV4: $i] :
( ( ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV2 )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(84,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV4 ) )
= $true )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(85,plain,
! [SV2: $i,SV4: $i,SV8: $i,SV7: $i] :
( ( ( ~ ( status @ SV7 @ SV8 @ SV4 ) )
= $false )
| ( ( status @ SV7 @ SV8 @ SV2 )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(86,plain,
! [SV2: $i,SV4: $i] :
( ( ( status @ ( sK6_SY30 @ SV4 @ SV2 ) @ ( sK7_SY35 @ SV2 @ SV4 ) @ SV4 )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(87,plain,
! [SV2: $i,SV4: $i,SV8: $i,SV7: $i] :
( ( ( status @ SV7 @ SV8 @ SV4 )
= $true )
| ( ( status @ SV7 @ SV8 @ SV2 )
= $false )
| ( ( nota @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(88,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,87,86,83,70,69,65,33,29]) ).
thf(89,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS181+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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
% 0.11/0.16 % Computer : n009.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Oct 6 11:42:17 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.23
% 0.11/0.23 No.of.Axioms: 2
% 0.11/0.23
% 0.11/0.23 Length.of.Defs: 0
% 0.11/0.23
% 0.11/0.23 Contains.Choice.Funs: false
% 0.11/0.23 ..
% 0.11/0.23
% 0.11/0.23 ********************************
% 0.11/0.23 * All subproblems solved! *
% 0.11/0.23 ********************************
% 0.11/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,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:88,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.11/0.23
% 0.11/0.23 %**** Beginning of derivation protocol ****
% 0.11/0.23 % SZS output start CNFRefutation
% See solution above
% 0.11/0.23
% 0.11/0.23 %**** End of derivation protocol ****
% 0.11/0.23 %**** no. of clauses in derivation: 78 ****
% 0.11/0.23 %**** clause counter: 88 ****
% 0.11/0.23
% 0.11/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,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:88,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------