TSTP Solution File: SEV214^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV214^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.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 17:35:41 EDT 2022
% Result : Theorem 0.21s 0.45s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 164 ( 76 unt; 9 typ; 0 def)
% Number of atoms : 880 ( 602 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 1334 ( 329 ~; 264 |; 31 &; 695 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 55 ( 55 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 414 ( 44 ^ 356 !; 14 ?; 414 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_iS,type,
iS: $tType ).
thf(tp_c0,type,
c0: iS ).
thf(tp_cP,type,
cP: iS > iS > iS ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( iS > $o ) > iS ).
thf(tp_sK2_SY32,type,
sK2_SY32: ( iS > $o ) > iS ).
thf(tp_sK3_SV6,type,
sK3_SV6: iS ).
thf(tp_sK4_SY45,type,
sK4_SY45: iS ).
thf(tp_sK5_SV20,type,
sK5_SV20: iS ).
thf(tp_sK6_SY60,type,
sK6_SY60: iS ).
thf(1,conjecture,
( ( ! [Xx: iS,Xy: iS] :
( ( cP @ Xx @ Xy )
!= c0 )
& ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
( ( ( cP @ Xx @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx = Xy )
& ( Xu = Xv ) ) )
& ! [X: iS > $o] :
( ( ( X @ c0 )
& ! [Xx: iS,Xy: iS] :
( ( ( X @ Xx )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx @ Xy ) ) ) )
=> ! [Xx: iS] : ( X @ Xx ) ) )
=> ( ( ( ^ [Xx: iS] :
( ( Xx = c0 )
| ? [Xy: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [Xx: iS,Xy: iS] : ( Xx = Xy )
@ c0 ) )
& ( ( ^ [Xy: iS] :
( ( Xy = c0 )
| ? [Xx: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [Xx: iS,Xy: iS] : ( Xx = Xy )
@ c0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_T_LR_LEM2_pme) ).
thf(2,negated_conjecture,
( ( ( ! [Xx: iS,Xy: iS] :
( ( cP @ Xx @ Xy )
!= c0 )
& ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
( ( ( cP @ Xx @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx = Xy )
& ( Xu = Xv ) ) )
& ! [X: iS > $o] :
( ( ( X @ c0 )
& ! [Xx: iS,Xy: iS] :
( ( ( X @ Xx )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx @ Xy ) ) ) )
=> ! [Xx: iS] : ( X @ Xx ) ) )
=> ( ( ( ^ [Xx: iS] :
( ( Xx = c0 )
| ? [Xy: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [Xx: iS,Xy: iS] : ( Xx = Xy )
@ c0 ) )
& ( ( ^ [Xy: iS] :
( ( Xy = c0 )
| ? [Xx: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [Xx: iS,Xy: iS] : ( Xx = Xy )
@ c0 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xx: iS,Xy: iS] :
( ( cP @ Xx @ Xy )
!= c0 )
& ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
( ( ( cP @ Xx @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx = Xy )
& ( Xu = Xv ) ) )
& ! [X: iS > $o] :
( ( ( X @ c0 )
& ! [Xx: iS,Xy: iS] :
( ( ( X @ Xx )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx @ Xy ) ) ) )
=> ! [Xx: iS] : ( X @ Xx ) ) )
=> ( ( ( ^ [Xx: iS] :
( ( Xx = c0 )
| ? [Xy: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [SY12: iS] : ( c0 = SY12 ) ) )
& ( ( ^ [Xy: iS] :
( ( Xy = c0 )
| ? [Xx: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [SY15: iS] : ( c0 = SY15 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: iS,Xy: iS] :
( ( cP @ Xx @ Xy )
!= c0 ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: iS,Xy: iS,Xu: iS,Xv: iS] :
( ( ( cP @ Xx @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx = Xy )
& ( Xu = Xv ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [X: iS > $o] :
( ( ( X @ c0 )
& ! [Xx: iS,Xy: iS] :
( ( ( X @ Xx )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx @ Xy ) ) ) )
=> ! [Xx: iS] : ( X @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ( ( ^ [Xx: iS] :
( ( Xx = c0 )
| ? [Xy: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [SY12: iS] : ( c0 = SY12 ) ) )
& ( ( ^ [Xy: iS] :
( ( Xy = c0 )
| ? [Xx: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [SY15: iS] : ( c0 = SY15 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ( ^ [Xx: iS] :
( ( Xx = c0 )
| ? [Xy: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [SY12: iS] : ( c0 = SY12 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(9,plain,
( ( ( ^ [Xy: iS] :
( ( Xy = c0 )
| ? [Xx: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
= ( ^ [SY15: iS] : ( c0 = SY15 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(10,plain,
( ( ( ( ^ [Xx: iS] :
( ( Xx = c0 )
| ? [Xy: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
!= ( ^ [SY12: iS] : ( c0 = SY12 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(11,plain,
( ( ( ( ^ [Xy: iS] :
( ( Xy = c0 )
| ? [Xx: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
!= ( ^ [SY15: iS] : ( c0 = SY15 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [Xx: iS,Xy: iS] :
( ( cP @ Xx @ Xy )
!= c0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(13,plain,
( ( ! [Xx: iS,Xy: iS] :
( ( ! [Xu: iS,Xv: iS] :
( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xx = Xy ) )
& ! [Xu: iS,Xv: iS] :
( ( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xu = Xv ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(14,plain,
( ( ! [X: iS > $o] :
( ( ( X @ ( sK1_Xx @ X ) )
& ( X @ ( sK2_SY32 @ X ) )
& ~ ( X @ ( cP @ ( sK1_Xx @ X ) @ ( sK2_SY32 @ X ) ) ) )
| ~ ( X @ c0 )
| ! [Xx: iS] : ( X @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(15,plain,
( ( ! [X: iS > $o] :
( ( ( X @ ( sK1_Xx @ X ) )
& ( X @ ( sK2_SY32 @ X ) )
& ~ ( X @ ( cP @ ( sK1_Xx @ X ) @ ( sK2_SY32 @ X ) ) ) )
| ~ ( X @ c0 )
| ! [Xx: iS] : ( X @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [Xx: iS,Xy: iS] :
( ( ! [Xu: iS,Xv: iS] :
( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xx = Xy ) )
& ! [Xu: iS,Xv: iS] :
( ( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xu = Xv ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [Xx: iS,Xy: iS] :
( ( cP @ Xx @ Xy )
!= c0 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ( ( ^ [Xx: iS] :
( ( Xx = c0 )
| ? [Xy: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
!= ( ^ [SY12: iS] : ( c0 = SY12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(19,plain,
( ( ! [SX0: iS > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK1_Xx @ SX0 ) )
| ~ ( SX0 @ ( sK2_SY32 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( cP @ ( sK1_Xx @ SX0 ) @ ( sK2_SY32 @ SX0 ) ) ) )
| ~ ( SX0 @ c0 )
| ! [SX1: iS] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(20,plain,
( ( ! [SX0: iS,SX1: iS] :
~ ( ~ ( ! [SX2: iS,SX3: iS] :
( ( cP @ SX0 @ SX2 )
!= ( cP @ SX1 @ SX3 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX2: iS,SX3: iS] :
( ( ( cP @ SX0 @ SX2 )
!= ( cP @ SX1 @ SX3 ) )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(21,plain,
( ( ( ( ^ [SX0: iS] :
( ( SX0 = c0 )
| ~ ! [SX1: iS] :
( c0
!= ( cP @ SX0 @ SX1 ) ) ) )
!= ( ^ [SX0: iS] : ( c0 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: iS] :
( ( ! [SY33: iS] :
( ( cP @ SV1 @ SY33 )
!= c0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV2: iS > $o] :
( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK1_Xx @ SV2 ) )
| ~ ( SV2 @ ( sK2_SY32 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) ) )
| ~ ( SV2 @ c0 )
| ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV3: iS] :
( ( ! [SY35: iS] :
~ ( ~ ( ! [SY36: iS,SY37: iS] :
( ( cP @ SV3 @ SY36 )
!= ( cP @ SY35 @ SY37 ) )
| ( SV3 = SY35 ) )
| ~ ! [SY38: iS,SY39: iS] :
( ( ( cP @ SV3 @ SY38 )
!= ( cP @ SY35 @ SY39 ) )
| ( SY38 = SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ( ^ [SX0: iS] :
( ( SX0 = c0 )
| ~ ! [SX1: iS] :
( c0
!= ( cP @ SX0 @ SX1 ) ) ) )
= ( ^ [SX0: iS] : ( c0 = SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV4: iS,SV1: iS] :
( ( ( ( cP @ SV1 @ SV4 )
!= c0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV2: iS > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK1_Xx @ SV2 ) )
| ~ ( SV2 @ ( sK2_SY32 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) ) )
| ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV5: iS,SV3: iS] :
( ( ~ ( ~ ( ! [SY40: iS,SY41: iS] :
( ( cP @ SV3 @ SY40 )
!= ( cP @ SV5 @ SY41 ) )
| ( SV3 = SV5 ) )
| ~ ! [SY42: iS,SY43: iS] :
( ( ( cP @ SV3 @ SY42 )
!= ( cP @ SV5 @ SY43 ) )
| ( SY42 = SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( ! [SV6: iS] :
( ( ( SV6 = c0 )
| ~ ! [SY44: iS] :
( c0
!= ( cP @ SV6 @ SY44 ) ) )
= ( c0 = SV6 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ( ^ [SX0: iS] :
( ( SX0 = c0 )
| ~ ! [SX1: iS] :
( c0
!= ( cP @ SX0 @ SX1 ) ) ) )
= ( ^ [SX0: iS] : ( c0 = SX0 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[25]) ).
thf(31,plain,
! [SV4: iS,SV1: iS] :
( ( ( cP @ SV1 @ SV4 )
= c0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV2: iS > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV2 @ ( sK1_Xx @ SV2 ) )
| ~ ( SV2 @ ( sK2_SY32 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV5: iS,SV3: iS] :
( ( ~ ( ! [SY40: iS,SY41: iS] :
( ( cP @ SV3 @ SY40 )
!= ( cP @ SV5 @ SY41 ) )
| ( SV3 = SV5 ) )
| ~ ! [SY42: iS,SY43: iS] :
( ( ( cP @ SV3 @ SY42 )
!= ( cP @ SV5 @ SY43 ) )
| ( SY42 = SY43 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
= ( c0 = sK3_SV6 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[29]) ).
thf(35,plain,
! [SV2: iS > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK1_Xx @ SV2 ) )
| ~ ( SV2 @ ( sK2_SY32 @ SV2 ) ) )
| ~ ~ ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV5: iS,SV3: iS] :
( ( ~ ( ! [SY40: iS,SY41: iS] :
( ( cP @ SV3 @ SY40 )
!= ( cP @ SV5 @ SY41 ) )
| ( SV3 = SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV5: iS,SV3: iS] :
( ( ~ ! [SY42: iS,SY43: iS] :
( ( ( cP @ SV3 @ SY42 )
!= ( cP @ SV5 @ SY43 ) )
| ( SY42 = SY43 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
( ( ~ ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) )
| ( c0 = sK3_SV6 ) )
| ~ ( ~ ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
| ( c0 != sK3_SV6 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[34]) ).
thf(39,plain,
( ( ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
= ( c0 = sK3_SV6 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[34]) ).
thf(40,plain,
! [SV2: iS > $o] :
( ( ( ~ ~ ( ~ ( SV2 @ ( sK1_Xx @ SV2 ) )
| ~ ( SV2 @ ( sK2_SY32 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV2: iS > $o] :
( ( ( ~ ~ ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV5: iS,SV3: iS] :
( ( ! [SY40: iS,SY41: iS] :
( ( cP @ SV3 @ SY40 )
!= ( cP @ SV5 @ SY41 ) )
| ( SV3 = SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
! [SV5: iS,SV3: iS] :
( ( ! [SY42: iS,SY43: iS] :
( ( ( cP @ SV3 @ SY42 )
!= ( cP @ SV5 @ SY43 ) )
| ( SY42 = SY43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(44,plain,
( ( ~ ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) )
| ( c0 = sK3_SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(45,plain,
( ( ~ ( ~ ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
| ( c0 != sK3_SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(46,plain,
! [SV2: iS > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK1_Xx @ SV2 ) )
| ~ ( SV2 @ ( sK2_SY32 @ SV2 ) ) ) )
= $true )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(47,plain,
! [SV2: iS > $o] :
( ( ( ~ ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) ) )
= $true )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(48,plain,
! [SV5: iS,SV3: iS] :
( ( ( ! [SY40: iS,SY41: iS] :
( ( cP @ SV3 @ SY40 )
!= ( cP @ SV5 @ SY41 ) ) )
= $true )
| ( ( SV3 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV5: iS,SV7: iS,SV3: iS] :
( ( ! [SY46: iS] :
( ( ( cP @ SV3 @ SV7 )
!= ( cP @ SV5 @ SY46 ) )
| ( SV7 = SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(50,plain,
( ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) )
| ( c0 = sK3_SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(51,plain,
( ( ~ ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
| ( c0 != sK3_SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV2: iS > $o] :
( ( ( ~ ( SV2 @ ( sK1_Xx @ SV2 ) )
| ~ ( SV2 @ ( sK2_SY32 @ SV2 ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV2: iS > $o] :
( ( ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV5: iS,SV8: iS,SV3: iS] :
( ( ( ! [SY47: iS] :
( ( cP @ SV3 @ SV8 )
!= ( cP @ SV5 @ SY47 ) ) )
= $true )
| ( ( SV3 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV9: iS,SV5: iS,SV7: iS,SV3: iS] :
( ( ( ( cP @ SV3 @ SV7 )
!= ( cP @ SV5 @ SV9 ) )
| ( SV7 = SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(56,plain,
( ( ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
= $true )
| ( ( c0 = sK3_SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(57,plain,
( ( ( ~ ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) ) )
= $true )
| ( ( ( c0 != sK3_SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV2: iS > $o] :
( ( ( ~ ( SV2 @ ( sK1_Xx @ SV2 ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV2: iS > $o] :
( ( ( ~ ( SV2 @ ( sK2_SY32 @ SV2 ) ) )
= $false )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,plain,
! [SV2: iS > $o] :
( ( ( SV2 @ c0 )
= $false )
| ( ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) )
= $false )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV10: iS,SV5: iS,SV8: iS,SV3: iS] :
( ( ( ( ( cP @ SV3 @ SV8 )
!= ( cP @ SV5 @ SV10 ) ) )
= $true )
| ( ( SV3 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV9: iS,SV5: iS,SV7: iS,SV3: iS] :
( ( ( ( ( cP @ SV3 @ SV7 )
!= ( cP @ SV5 @ SV9 ) ) )
= $true )
| ( ( SV7 = SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(63,plain,
( ( ( sK3_SV6 = c0 )
= $true )
| ( ( ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
= $true )
| ( ( c0 = sK3_SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(64,plain,
( ( ( ( sK3_SV6 = c0 )
| ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
= $false )
| ( ( ( c0 != sK3_SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV2: iS > $o] :
( ( ( SV2 @ ( sK1_Xx @ SV2 ) )
= $true )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(66,plain,
! [SV2: iS > $o] :
( ( ( SV2 @ ( sK2_SY32 @ SV2 ) )
= $true )
| ( ( ~ ( SV2 @ c0 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV11: iS,SV2: iS > $o] :
( ( ( SV2 @ SV11 )
= $true )
| ( ( SV2 @ ( cP @ ( sK1_Xx @ SV2 ) @ ( sK2_SY32 @ SV2 ) ) )
= $false )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV10: iS,SV5: iS,SV8: iS,SV3: iS] :
( ( ( ( cP @ SV3 @ SV8 )
= ( cP @ SV5 @ SV10 ) )
= $false )
| ( ( SV3 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV9: iS,SV5: iS,SV7: iS,SV3: iS] :
( ( ( ( cP @ SV3 @ SV7 )
= ( cP @ SV5 @ SV9 ) )
= $false )
| ( ( SV7 = SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(70,plain,
( ( ( ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
= $false )
| ( ( sK3_SV6 = c0 )
= $true )
| ( ( c0 = sK3_SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
( ( ( sK3_SV6 = c0 )
= $false )
| ( ( ( c0 != sK3_SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(72,plain,
( ( ( ~ ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
= $false )
| ( ( ( c0 != sK3_SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV2: iS > $o] :
( ( ( SV2 @ c0 )
= $false )
| ( ( SV2 @ ( sK1_Xx @ SV2 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(74,plain,
! [SV2: iS > $o] :
( ( ( SV2 @ c0 )
= $false )
| ( ( SV2 @ ( sK2_SY32 @ SV2 ) )
= $true )
| ( ( ! [SY34: iS] : ( SV2 @ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(75,plain,
( ( ( ( c0
!= ( cP @ sK3_SV6 @ sK4_SY45 ) ) )
= $false )
| ( ( sK3_SV6 = c0 )
= $true )
| ( ( c0 = sK3_SV6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(76,plain,
( ( ( c0 = sK3_SV6 )
= $false )
| ( ( sK3_SV6 = c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(77,plain,
( ( ( ! [SY45: iS] :
( c0
!= ( cP @ sK3_SV6 @ SY45 ) ) )
= $true )
| ( ( ( c0 != sK3_SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(78,plain,
! [SV12: iS,SV2: iS > $o] :
( ( ( SV2 @ SV12 )
= $true )
| ( ( SV2 @ ( sK1_Xx @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(79,plain,
! [SV13: iS,SV2: iS > $o] :
( ( ( SV2 @ SV13 )
= $true )
| ( ( SV2 @ ( sK2_SY32 @ SV2 ) )
= $true )
| ( ( SV2 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(80,plain,
( ( ( c0
= ( cP @ sK3_SV6 @ sK4_SY45 ) )
= $true )
| ( ( sK3_SV6 = c0 )
= $true )
| ( ( c0 = sK3_SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(81,plain,
! [SV14: iS] :
( ( ( ( c0
!= ( cP @ sK3_SV6 @ SV14 ) ) )
= $true )
| ( ( ( c0 != sK3_SV6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(82,plain,
! [SV14: iS] :
( ( ( c0
= ( cP @ sK3_SV6 @ SV14 ) )
= $false )
| ( ( ( c0 != sK3_SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(83,plain,
! [SV14: iS] :
( ( ( c0 = sK3_SV6 )
= $false )
| ( ( c0
= ( cP @ sK3_SV6 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(84,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[30,83,80,79,78,76,69,68,67,39,31]) ).
thf(85,plain,
( ( ! [X: iS > $o] :
( ( ( X @ ( sK1_Xx @ X ) )
& ( X @ ( sK2_SY32 @ X ) )
& ~ ( X @ ( cP @ ( sK1_Xx @ X ) @ ( sK2_SY32 @ X ) ) ) )
| ~ ( X @ c0 )
| ! [Xx: iS] : ( X @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(86,plain,
( ( ! [Xx: iS,Xy: iS] :
( ( ! [Xu: iS,Xv: iS] :
( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xx = Xy ) )
& ! [Xu: iS,Xv: iS] :
( ( ( cP @ Xx @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xu = Xv ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(87,plain,
( ( ! [Xx: iS,Xy: iS] :
( ( cP @ Xx @ Xy )
!= c0 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(88,plain,
( ( ( ( ^ [Xy: iS] :
( ( Xy = c0 )
| ? [Xx: iS] :
( c0
= ( cP @ Xx @ Xy ) ) ) )
!= ( ^ [SY15: iS] : ( c0 = SY15 ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(89,plain,
( ( ! [SX0: iS,SX1: iS] :
~ ( ~ ( ! [SX2: iS,SX3: iS] :
( ( cP @ SX0 @ SX2 )
!= ( cP @ SX1 @ SX3 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX2: iS,SX3: iS] :
( ( ( cP @ SX0 @ SX2 )
!= ( cP @ SX1 @ SX3 ) )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(90,plain,
( ( ( ( ^ [SX0: iS] :
( ( SX0 = c0 )
| ~ ! [SX1: iS] :
( c0
!= ( cP @ SX1 @ SX0 ) ) ) )
!= ( ^ [SX0: iS] : ( c0 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(91,plain,
( ( ! [SX0: iS > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK1_Xx @ SX0 ) )
| ~ ( SX0 @ ( sK2_SY32 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( cP @ ( sK1_Xx @ SX0 ) @ ( sK2_SY32 @ SX0 ) ) ) )
| ~ ( SX0 @ c0 )
| ! [SX1: iS] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(92,plain,
! [SV15: iS] :
( ( ! [SY48: iS] :
( ( cP @ SV15 @ SY48 )
!= c0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV16: iS] :
( ( ! [SY49: iS] :
~ ( ~ ( ! [SY50: iS,SY51: iS] :
( ( cP @ SV16 @ SY50 )
!= ( cP @ SY49 @ SY51 ) )
| ( SV16 = SY49 ) )
| ~ ! [SY52: iS,SY53: iS] :
( ( ( cP @ SV16 @ SY52 )
!= ( cP @ SY49 @ SY53 ) )
| ( SY52 = SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(94,plain,
( ( ( ^ [SX0: iS] :
( ( SX0 = c0 )
| ~ ! [SX1: iS] :
( c0
!= ( cP @ SX1 @ SX0 ) ) ) )
= ( ^ [SX0: iS] : ( c0 = SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(95,plain,
! [SV17: iS > $o] :
( ( ~ ( ~ ~ ( ~ ( SV17 @ ( sK1_Xx @ SV17 ) )
| ~ ( SV17 @ ( sK2_SY32 @ SV17 ) ) )
| ~ ~ ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) ) )
| ~ ( SV17 @ c0 )
| ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(96,plain,
! [SV18: iS,SV15: iS] :
( ( ( ( cP @ SV15 @ SV18 )
!= c0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(97,plain,
! [SV19: iS,SV16: iS] :
( ( ~ ( ~ ( ! [SY55: iS,SY56: iS] :
( ( cP @ SV16 @ SY55 )
!= ( cP @ SV19 @ SY56 ) )
| ( SV16 = SV19 ) )
| ~ ! [SY57: iS,SY58: iS] :
( ( ( cP @ SV16 @ SY57 )
!= ( cP @ SV19 @ SY58 ) )
| ( SY57 = SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(98,plain,
( ( ! [SV20: iS] :
( ( ( SV20 = c0 )
| ~ ! [SY59: iS] :
( c0
!= ( cP @ SY59 @ SV20 ) ) )
= ( c0 = SV20 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[94]) ).
thf(99,plain,
( ( ( ^ [SX0: iS] :
( ( SX0 = c0 )
| ~ ! [SX1: iS] :
( c0
!= ( cP @ SX1 @ SX0 ) ) ) )
= ( ^ [SX0: iS] : ( c0 = SX0 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[94]) ).
thf(100,plain,
! [SV17: iS > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV17 @ ( sK1_Xx @ SV17 ) )
| ~ ( SV17 @ ( sK2_SY32 @ SV17 ) ) )
| ~ ~ ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) ) )
| ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(101,plain,
! [SV18: iS,SV15: iS] :
( ( ( cP @ SV15 @ SV18 )
= c0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(102,plain,
! [SV19: iS,SV16: iS] :
( ( ~ ( ! [SY55: iS,SY56: iS] :
( ( cP @ SV16 @ SY55 )
!= ( cP @ SV19 @ SY56 ) )
| ( SV16 = SV19 ) )
| ~ ! [SY57: iS,SY58: iS] :
( ( ( cP @ SV16 @ SY57 )
!= ( cP @ SV19 @ SY58 ) )
| ( SY57 = SY58 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(103,plain,
( ( ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
= ( c0 = sK5_SV20 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(104,plain,
! [SV17: iS > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV17 @ ( sK1_Xx @ SV17 ) )
| ~ ( SV17 @ ( sK2_SY32 @ SV17 ) ) )
| ~ ~ ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) ) ) )
= $true )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV19: iS,SV16: iS] :
( ( ~ ( ! [SY55: iS,SY56: iS] :
( ( cP @ SV16 @ SY55 )
!= ( cP @ SV19 @ SY56 ) )
| ( SV16 = SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(106,plain,
! [SV19: iS,SV16: iS] :
( ( ~ ! [SY57: iS,SY58: iS] :
( ( ( cP @ SV16 @ SY57 )
!= ( cP @ SV19 @ SY58 ) )
| ( SY57 = SY58 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(107,plain,
( ( ~ ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) )
| ( c0 = sK5_SV20 ) )
| ~ ( ~ ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
| ( c0 != sK5_SV20 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[103]) ).
thf(108,plain,
( ( ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
= ( c0 = sK5_SV20 ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[103]) ).
thf(109,plain,
! [SV17: iS > $o] :
( ( ( ~ ~ ( ~ ( SV17 @ ( sK1_Xx @ SV17 ) )
| ~ ( SV17 @ ( sK2_SY32 @ SV17 ) ) )
| ~ ~ ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(110,plain,
! [SV19: iS,SV16: iS] :
( ( ! [SY55: iS,SY56: iS] :
( ( cP @ SV16 @ SY55 )
!= ( cP @ SV19 @ SY56 ) )
| ( SV16 = SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(111,plain,
! [SV19: iS,SV16: iS] :
( ( ! [SY57: iS,SY58: iS] :
( ( ( cP @ SV16 @ SY57 )
!= ( cP @ SV19 @ SY58 ) )
| ( SY57 = SY58 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(112,plain,
( ( ~ ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) )
| ( c0 = sK5_SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(113,plain,
( ( ~ ( ~ ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
| ( c0 != sK5_SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(114,plain,
! [SV17: iS > $o] :
( ( ( ~ ~ ( ~ ( SV17 @ ( sK1_Xx @ SV17 ) )
| ~ ( SV17 @ ( sK2_SY32 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(115,plain,
! [SV17: iS > $o] :
( ( ( ~ ~ ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(116,plain,
! [SV19: iS,SV16: iS] :
( ( ( ! [SY55: iS,SY56: iS] :
( ( cP @ SV16 @ SY55 )
!= ( cP @ SV19 @ SY56 ) ) )
= $true )
| ( ( SV16 = SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(117,plain,
! [SV19: iS,SV21: iS,SV16: iS] :
( ( ! [SY61: iS] :
( ( ( cP @ SV16 @ SV21 )
!= ( cP @ SV19 @ SY61 ) )
| ( SV21 = SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(118,plain,
( ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) )
| ( c0 = sK5_SV20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(119,plain,
( ( ~ ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
| ( c0 != sK5_SV20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(120,plain,
! [SV17: iS > $o] :
( ( ( ~ ( ~ ( SV17 @ ( sK1_Xx @ SV17 ) )
| ~ ( SV17 @ ( sK2_SY32 @ SV17 ) ) ) )
= $true )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(121,plain,
! [SV17: iS > $o] :
( ( ( ~ ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) ) )
= $true )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(122,plain,
! [SV19: iS,SV22: iS,SV16: iS] :
( ( ( ! [SY62: iS] :
( ( cP @ SV16 @ SV22 )
!= ( cP @ SV19 @ SY62 ) ) )
= $true )
| ( ( SV16 = SV19 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV23: iS,SV19: iS,SV21: iS,SV16: iS] :
( ( ( ( cP @ SV16 @ SV21 )
!= ( cP @ SV19 @ SV23 ) )
| ( SV21 = SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(124,plain,
( ( ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
= $true )
| ( ( c0 = sK5_SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(125,plain,
( ( ( ~ ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) ) )
= $true )
| ( ( ( c0 != sK5_SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV17: iS > $o] :
( ( ( ~ ( SV17 @ ( sK1_Xx @ SV17 ) )
| ~ ( SV17 @ ( sK2_SY32 @ SV17 ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(127,plain,
! [SV17: iS > $o] :
( ( ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV24: iS,SV19: iS,SV22: iS,SV16: iS] :
( ( ( ( ( cP @ SV16 @ SV22 )
!= ( cP @ SV19 @ SV24 ) ) )
= $true )
| ( ( SV16 = SV19 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV23: iS,SV19: iS,SV21: iS,SV16: iS] :
( ( ( ( ( cP @ SV16 @ SV21 )
!= ( cP @ SV19 @ SV23 ) ) )
= $true )
| ( ( SV21 = SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(130,plain,
( ( ( sK5_SV20 = c0 )
= $true )
| ( ( ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
= $true )
| ( ( c0 = sK5_SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(131,plain,
( ( ( ( sK5_SV20 = c0 )
| ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
= $false )
| ( ( ( c0 != sK5_SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(132,plain,
! [SV17: iS > $o] :
( ( ( ~ ( SV17 @ ( sK1_Xx @ SV17 ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(133,plain,
! [SV17: iS > $o] :
( ( ( ~ ( SV17 @ ( sK2_SY32 @ SV17 ) ) )
= $false )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(134,plain,
! [SV17: iS > $o] :
( ( ( SV17 @ c0 )
= $false )
| ( ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) )
= $false )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV24: iS,SV19: iS,SV22: iS,SV16: iS] :
( ( ( ( cP @ SV16 @ SV22 )
= ( cP @ SV19 @ SV24 ) )
= $false )
| ( ( SV16 = SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(136,plain,
! [SV23: iS,SV19: iS,SV21: iS,SV16: iS] :
( ( ( ( cP @ SV16 @ SV21 )
= ( cP @ SV19 @ SV23 ) )
= $false )
| ( ( SV21 = SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(137,plain,
( ( ( ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
= $false )
| ( ( sK5_SV20 = c0 )
= $true )
| ( ( c0 = sK5_SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(138,plain,
( ( ( sK5_SV20 = c0 )
= $false )
| ( ( ( c0 != sK5_SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(139,plain,
( ( ( ~ ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
= $false )
| ( ( ( c0 != sK5_SV20 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(140,plain,
! [SV17: iS > $o] :
( ( ( SV17 @ ( sK1_Xx @ SV17 ) )
= $true )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(141,plain,
! [SV17: iS > $o] :
( ( ( SV17 @ ( sK2_SY32 @ SV17 ) )
= $true )
| ( ( ~ ( SV17 @ c0 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(142,plain,
! [SV25: iS,SV17: iS > $o] :
( ( ( SV17 @ SV25 )
= $true )
| ( ( SV17 @ ( cP @ ( sK1_Xx @ SV17 ) @ ( sK2_SY32 @ SV17 ) ) )
= $false )
| ( ( SV17 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(143,plain,
( ( ( ( c0
!= ( cP @ sK6_SY60 @ sK5_SV20 ) ) )
= $false )
| ( ( sK5_SV20 = c0 )
= $true )
| ( ( c0 = sK5_SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[137]) ).
thf(144,plain,
( ( ( c0 = sK5_SV20 )
= $false )
| ( ( sK5_SV20 = c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(145,plain,
( ( ( ! [SY60: iS] :
( c0
!= ( cP @ SY60 @ sK5_SV20 ) ) )
= $true )
| ( ( ( c0 != sK5_SV20 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(146,plain,
! [SV17: iS > $o] :
( ( ( SV17 @ c0 )
= $false )
| ( ( SV17 @ ( sK1_Xx @ SV17 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(147,plain,
! [SV17: iS > $o] :
( ( ( SV17 @ c0 )
= $false )
| ( ( SV17 @ ( sK2_SY32 @ SV17 ) )
= $true )
| ( ( ! [SY54: iS] : ( SV17 @ SY54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(148,plain,
( ( ( c0
= ( cP @ sK6_SY60 @ sK5_SV20 ) )
= $true )
| ( ( sK5_SV20 = c0 )
= $true )
| ( ( c0 = sK5_SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(149,plain,
! [SV26: iS] :
( ( ( ( c0
!= ( cP @ SV26 @ sK5_SV20 ) ) )
= $true )
| ( ( ( c0 != sK5_SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(150,plain,
! [SV27: iS,SV17: iS > $o] :
( ( ( SV17 @ SV27 )
= $true )
| ( ( SV17 @ ( sK1_Xx @ SV17 ) )
= $true )
| ( ( SV17 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(151,plain,
! [SV28: iS,SV17: iS > $o] :
( ( ( SV17 @ SV28 )
= $true )
| ( ( SV17 @ ( sK2_SY32 @ SV17 ) )
= $true )
| ( ( SV17 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(152,plain,
! [SV26: iS] :
( ( ( c0
= ( cP @ SV26 @ sK5_SV20 ) )
= $false )
| ( ( ( c0 != sK5_SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(153,plain,
! [SV26: iS] :
( ( ( c0 = sK5_SV20 )
= $false )
| ( ( c0
= ( cP @ SV26 @ sK5_SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(154,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[99,153,151,150,148,144,142,136,135,108,101]) ).
thf(155,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[154,84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV214^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 17:19:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (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)........
% 0.21/0.45
% 0.21/0.45 ********************************
% 0.21/0.45 * All subproblems solved! *
% 0.21/0.45 ********************************
% 0.21/0.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:154,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.46
% 0.21/0.46 %**** Beginning of derivation protocol ****
% 0.21/0.46 % SZS output start CNFRefutation
% See solution above
% 0.21/0.46
% 0.21/0.46 %**** End of derivation protocol ****
% 0.21/0.46 %**** no. of clauses in derivation: 155 ****
% 0.21/0.46 %**** clause counter: 154 ****
% 0.21/0.46
% 0.21/0.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:154,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------