TSTP Solution File: SEU546^2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU546^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:12:46 EDT 2022
% Result : Theorem 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 77 ( 29 unt; 7 typ; 2 def)
% Number of atoms : 431 ( 235 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 745 ( 207 ~; 164 |; 19 &; 330 @)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 49 ( 49 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 169 ( 4 ^ 151 !; 14 ?; 169 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_exu,type,
exu: ( $i > $o ) > $o ).
thf(tp_exuI1,type,
exuI1: $o ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i > $o ).
thf(tp_sK2_SY31,type,
sK2_SY31: $i > $i ).
thf(tp_sK3_SY27,type,
sK3_SY27: $i ).
thf(tp_sK4_SY10,type,
sK4_SY10: ( $i > $o ) > $i ).
thf(tp_sK5_Xy,type,
sK5_Xy: $i > ( $i > $o ) > $i ).
thf(exu,definition,
( exu
= ( ^ [Xphi: $i > $o] :
? [Xx: $i] :
( ( Xphi @ Xx )
& ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu) ).
thf(exuI1,definition,
( exuI1
= ( ! [Xphi: $i > $o] :
( ? [Xx: $i] :
( ( Xphi @ Xx )
& ! [Xy: $i] :
( ( Xphi @ Xy )
=> ( Xx = Xy ) ) )
=> ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuI1) ).
thf(1,conjecture,
( exuI1
=> ! [Xphi: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( Xphi @ Xy )
<=> ( Xy = Xx ) )
=> ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuI2) ).
thf(2,negated_conjecture,
( ( exuI1
=> ! [Xphi: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( Xphi @ Xy )
<=> ( Xy = Xx ) )
=> ( exu
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY6: $i > $o] :
( ? [Xx: $i] :
( ( SY6 @ Xx )
& ! [Xy: $i] :
( ( SY6 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY10: $i] :
( ( SY6 @ SY10 )
& ! [SY11: $i] :
( ( SY6 @ SY11 )
=> ( SY10 = SY11 ) ) ) )
=> ! [SY0: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY0 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY4: $i] :
( ( SY0 @ SY4 )
& ! [SY5: $i] :
( ( SY0 @ SY5 )
=> ( SY4 = SY5 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,exu,exuI1]) ).
thf(4,plain,
( ( ! [SY6: $i > $o] :
( ? [Xx: $i] :
( ( SY6 @ Xx )
& ! [Xy: $i] :
( ( SY6 @ Xy )
=> ( Xx = Xy ) ) )
=> ? [SY10: $i] :
( ( SY6 @ SY10 )
& ! [SY11: $i] :
( ( SY6 @ SY11 )
=> ( SY10 = SY11 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY0: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY0 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY4: $i] :
( ( SY0 @ SY4 )
& ! [SY5: $i] :
( ( SY0 @ SY5 )
=> ( SY4 = SY5 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY0: $i > $o] :
( ? [Xx: $i] :
! [Xy: $i] :
( ( SY0 @ Xy )
<=> ( Xy = Xx ) )
=> ? [SY4: $i] :
( ( SY0 @ SY4 )
& ! [SY5: $i] :
( ( SY0 @ SY5 )
=> ( SY4 = SY5 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY32: $i] :
( ( SY32 != sK3_SY27 )
| ( sK1_SY0 @ SY32 ) )
& ! [SY33: $i] :
( ~ ( sK1_SY0 @ SY33 )
| ( SY33 = sK3_SY27 ) )
& ! [SY30: $i] :
( ( ( sK1_SY0 @ ( sK2_SY31 @ SY30 ) )
& ( SY30
!= ( sK2_SY31 @ SY30 ) ) )
| ~ ( sK1_SY0 @ SY30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY6: $i > $o] :
( ! [Xx: $i] :
( ( ( SY6 @ ( sK5_Xy @ Xx @ SY6 ) )
& ( Xx
!= ( sK5_Xy @ Xx @ SY6 ) ) )
| ~ ( SY6 @ Xx ) )
| ( ! [SY34: $i] :
( ~ ( SY6 @ SY34 )
| ( ( sK4_SY10 @ SY6 )
= SY34 ) )
& ( SY6 @ ( sK4_SY10 @ SY6 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [SY6: $i > $o] :
( ! [Xx: $i] :
( ( ( SY6 @ ( sK5_Xy @ Xx @ SY6 ) )
& ( Xx
!= ( sK5_Xy @ Xx @ SY6 ) ) )
| ~ ( SY6 @ Xx ) )
| ( ! [SY34: $i] :
( ~ ( SY6 @ SY34 )
| ( ( sK4_SY10 @ SY6 )
= SY34 ) )
& ( SY6 @ ( sK4_SY10 @ SY6 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY32: $i] :
( ( SY32 != sK3_SY27 )
| ( sK1_SY0 @ SY32 ) )
& ! [SY33: $i] :
( ~ ( sK1_SY0 @ SY33 )
| ( SY33 = sK3_SY27 ) )
& ! [SY30: $i] :
( ( ( sK1_SY0 @ ( sK2_SY31 @ SY30 ) )
& ( SY30
!= ( sK2_SY31 @ SY30 ) ) )
| ~ ( sK1_SY0 @ SY30 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: $i > $o] :
( ! [SX1: $i] :
( ~ ( ~ ( SX0 @ ( sK5_Xy @ SX1 @ SX0 ) )
| ~ ( ( SX1
!= ( sK5_Xy @ SX1 @ SX0 ) ) ) )
| ~ ( SX0 @ SX1 ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( SX0 @ SX1 )
| ( ( sK4_SY10 @ SX0 )
= SX1 ) )
| ~ ( SX0 @ ( sK4_SY10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,exu,exuI1]) ).
thf(12,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sK3_SY27 )
| ( sK1_SY0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( SX0 = sK3_SY27 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ( sK1_SY0 @ ( sK2_SY31 @ SX0 ) )
| ~ ( ( SX0
!= ( sK2_SY31 @ SX0 ) ) ) )
| ~ ( sK1_SY0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,exu,exuI1]) ).
thf(13,plain,
! [SV1: $i > $o] :
( ( ! [SY35: $i] :
( ~ ( ~ ( SV1 @ ( sK5_Xy @ SY35 @ SV1 ) )
| ~ ( ( SY35
!= ( sK5_Xy @ SY35 @ SV1 ) ) ) )
| ~ ( SV1 @ SY35 ) )
| ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sK3_SY27 )
| ( sK1_SY0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( SX0 = sK3_SY27 ) ) )
| ~ ! [SX0: $i] :
( ~ ( ~ ( sK1_SY0 @ ( sK2_SY31 @ SX0 ) )
| ~ ( ( SX0
!= ( sK2_SY31 @ SX0 ) ) ) )
| ~ ( sK1_SY0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i > $o] :
( ( ( ! [SY35: $i] :
( ~ ( ~ ( SV1 @ ( sK5_Xy @ SY35 @ SV1 ) )
| ~ ( ( SY35
!= ( sK5_Xy @ SY35 @ SV1 ) ) ) )
| ~ ( SV1 @ SY35 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sK3_SY27 )
| ( sK1_SY0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( SX0 = sK3_SY27 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ( sK1_SY0 @ ( sK2_SY31 @ SX0 ) )
| ~ ( ( SX0
!= ( sK2_SY31 @ SX0 ) ) ) )
| ~ ( sK1_SY0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
| ~ ( ( SV2
!= ( sK5_Xy @ SV2 @ SV1 ) ) ) )
| ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != sK3_SY27 )
| ( sK1_SY0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( SX0 = sK3_SY27 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( sK1_SY0 @ ( sK2_SY31 @ SX0 ) )
| ~ ( ( SX0
!= ( sK2_SY31 @ SX0 ) ) ) )
| ~ ( sK1_SY0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
| ~ ( ( SV2
!= ( sK5_Xy @ SV2 @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sK3_SY27 )
| ( sK1_SY0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( SX0 = sK3_SY27 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV3: $i] :
( ( ~ ( ~ ( sK1_SY0 @ ( sK2_SY31 @ SV3 ) )
| ~ ( ( SV3
!= ( sK2_SY31 @ SV3 ) ) ) )
| ~ ( sK1_SY0 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
| ~ ( ( SV2
!= ( sK5_Xy @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sK3_SY27 )
| ( sK1_SY0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( SX0 = sK3_SY27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( sK1_SY0 @ ( sK2_SY31 @ SV3 ) )
| ~ ( ( SV3
!= ( sK2_SY31 @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( sK1_SY0 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( ~ ( ( SV2
!= ( sK5_Xy @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
( ( ! [SX0: $i] :
( ( SX0 != sK3_SY27 )
| ( sK1_SY0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(31,plain,
( ( ! [SX0: $i] :
( ~ ( sK1_SY0 @ SX0 )
| ( SX0 = sK3_SY27 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(32,plain,
! [SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK2_SY31 @ SV3 ) )
| ~ ( ( SV3
!= ( sK2_SY31 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( sK1_SY0 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( ( SV2
!= ( sK5_Xy @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(35,plain,
! [SV4: $i] :
( ( ( SV4 != sK3_SY27 )
| ( sK1_SY0 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV5: $i] :
( ( ~ ( sK1_SY0 @ SV5 )
| ( SV5 = sK3_SY27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV3: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK2_SY31 @ SV3 ) ) )
= $false )
| ( ( ~ ( sK1_SY0 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV3: $i] :
( ( ( ~ ( ( SV3
!= ( sK2_SY31 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( sK1_SY0 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(39,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ SV2 )
= $false )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV1: $i > $o,SV2: $i] :
( ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( SV1 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV4: $i] :
( ( ( ( SV4 != sK3_SY27 ) )
= $true )
| ( ( sK1_SY0 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV5: $i] :
( ( ( ~ ( sK1_SY0 @ SV5 ) )
= $true )
| ( ( SV5 = sK3_SY27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV3: $i] :
( ( ( sK1_SY0 @ ( sK2_SY31 @ SV3 ) )
= $true )
| ( ( ~ ( sK1_SY0 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(44,plain,
! [SV3: $i] :
( ( ( ( SV3
!= ( sK2_SY31 @ SV3 ) ) )
= $true )
| ( ( ~ ( sK1_SY0 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(45,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ SV2 )
= $false )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV4: $i] :
( ( ( SV4 = sK3_SY27 )
= $false )
| ( ( sK1_SY0 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV5: $i] :
( ( ( sK1_SY0 @ SV5 )
= $false )
| ( ( SV5 = sK3_SY27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV3: $i] :
( ( ( sK1_SY0 @ SV3 )
= $false )
| ( ( sK1_SY0 @ ( sK2_SY31 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV3: $i] :
( ( ( SV3
= ( sK2_SY31 @ SV3 ) )
= $false )
| ( ( ~ ( sK1_SY0 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) ) )
= $false )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) )
| ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) )
= $false )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV3: $i] :
( ( ( sK1_SY0 @ SV3 )
= $false )
| ( ( SV3
= ( sK2_SY31 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(55,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) ) )
= $true )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(56,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_SY10 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) ) )
= $false )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(58,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK4_SY10 @ SV1 ) ) )
= $false )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(59,plain,
! [SV2: $i,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 )
| ( ( sK4_SY10 @ SV1 )
= SV6 ) )
= $true )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( ! [SY36: $i] :
( ~ ( SV1 @ SY36 )
| ( ( sK4_SY10 @ SV1 )
= SY36 ) ) )
= $true )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(61,plain,
! [SV2: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK4_SY10 @ SV1 ) )
= $true )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(62,plain,
! [SV2: $i,SV6: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV6 ) )
= $true )
| ( ( ( sK4_SY10 @ SV1 )
= SV6 )
= $true )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(63,plain,
! [SV2: $i,SV7: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV7 )
| ( ( sK4_SY10 @ SV1 )
= SV7 ) )
= $true )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(64,plain,
! [SV2: $i,SV6: $i,SV1: $i > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( ( ( sK4_SY10 @ SV1 )
= SV6 )
= $true )
| ( ( SV1 @ ( sK5_Xy @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV2: $i,SV7: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV7 ) )
= $true )
| ( ( ( sK4_SY10 @ SV1 )
= SV7 )
= $true )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV2: $i,SV7: $i,SV1: $i > $o] :
( ( ( SV1 @ SV7 )
= $false )
| ( ( ( sK4_SY10 @ SV1 )
= SV7 )
= $true )
| ( ( SV2
= ( sK5_Xy @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(67,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[47,66,64,61,56,54,49,48]) ).
thf(68,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU546^2 : TPTP v8.1.0. Released v3.7.0.
% 0.00/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sun Jun 19 01:53:17 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.10/0.30
% 0.10/0.30 No.of.Axioms: 0
% 0.10/0.30
% 0.10/0.30 Length.of.Defs: 389
% 0.10/0.30
% 0.10/0.30 Contains.Choice.Funs: false
% 0.10/0.30 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.15/0.34
% 0.15/0.34 ********************************
% 0.15/0.34 * All subproblems solved! *
% 0.15/0.34 ********************************
% 0.15/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:67,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.15/0.34
% 0.15/0.34 %**** Beginning of derivation protocol ****
% 0.15/0.34 % SZS output start CNFRefutation
% See solution above
% 0.15/0.34
% 0.15/0.34 %**** End of derivation protocol ****
% 0.15/0.34 %**** no. of clauses in derivation: 68 ****
% 0.15/0.34 %**** clause counter: 67 ****
% 0.15/0.34
% 0.15/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:67,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------