TSTP Solution File: SEV191^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV191^5 : 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 : n006.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 17:35:35 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 37
% Syntax : Number of formulae : 234 ( 84 unt; 36 typ; 0 def)
% Number of atoms : 1976 (1089 equ; 0 cnn)
% Maximal formula atoms : 18 ( 9 avg)
% Number of connectives : 4808 (1778 ~; 983 |; 129 &;1890 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 35 usr; 34 con; 0-3 aty)
% Number of variables : 309 ( 0 ^ 249 !; 60 ?; 309 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_c0,type,
c0: a ).
thf(tp_cP,type,
cP: a > a > a ).
thf(tp_sK10_SY199,type,
sK10_SY199: a ).
thf(tp_sK11_SY201,type,
sK11_SY201: a ).
thf(tp_sK12_SY169,type,
sK12_SY169: a ).
thf(tp_sK13_SY202,type,
sK13_SY202: a ).
thf(tp_sK14_SY207,type,
sK14_SY207: a ).
thf(tp_sK15_SY211,type,
sK15_SY211: a ).
thf(tp_sK16_SY214,type,
sK16_SY214: a ).
thf(tp_sK17_SY216,type,
sK17_SY216: a ).
thf(tp_sK18_SY163,type,
sK18_SY163: a ).
thf(tp_sK19_SY217,type,
sK19_SY217: a ).
thf(tp_sK1_R,type,
sK1_R: a > a > a > $o ).
thf(tp_sK20_SY222,type,
sK20_SY222: a ).
thf(tp_sK21_SY226,type,
sK21_SY226: a ).
thf(tp_sK22_SY229,type,
sK22_SY229: a ).
thf(tp_sK23_SY231,type,
sK23_SY231: a ).
thf(tp_sK24_SY157,type,
sK24_SY157: a ).
thf(tp_sK25_SY232,type,
sK25_SY232: a ).
thf(tp_sK26_SY237,type,
sK26_SY237: a ).
thf(tp_sK27_SY241,type,
sK27_SY241: a ).
thf(tp_sK28_SY244,type,
sK28_SY244: a ).
thf(tp_sK29_SY246,type,
sK29_SY246: a ).
thf(tp_sK2_SY21,type,
sK2_SY21: a > a > a > $o ).
thf(tp_sK30_REN,type,
sK30_REN: $o ).
thf(tp_sK31_REN,type,
sK31_REN: $o ).
thf(tp_sK32_REN,type,
sK32_REN: $o ).
thf(tp_sK33_REN,type,
sK33_REN: $o ).
thf(tp_sK3_SY61,type,
sK3_SY61: a ).
thf(tp_sK4_SY94,type,
sK4_SY94: a ).
thf(tp_sK5_SY126,type,
sK5_SY126: a ).
thf(tp_sK6_SY175,type,
sK6_SY175: a ).
thf(tp_sK7_SY187,type,
sK7_SY187: a ).
thf(tp_sK8_SY192,type,
sK8_SY192: a ).
thf(tp_sK9_SY196,type,
sK9_SY196: a ).
thf(1,conjecture,
( ! [R: a > a > a > $o] :
( $true
=> $true )
& ! [R: a > a > a > $o,S: a > a > a > $o] :
( ( $true
& $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( R @ Xa @ Xb @ Xc )
=> ( S @ Xa @ Xb @ Xc ) ) )
=> ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( S @ Xx1 @ Xy1 @ Xz1 )
& ( S @ Xx2 @ Xy2 @ Xz2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_JOINFN_MONOTONE_pme) ).
thf(2,negated_conjecture,
( ( ! [R: a > a > a > $o] :
( $true
=> $true )
& ! [R: a > a > a > $o,S: a > a > a > $o] :
( ( $true
& $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( R @ Xa @ Xb @ Xc )
=> ( S @ Xa @ Xb @ Xc ) ) )
=> ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( S @ Xx1 @ Xy1 @ Xz1 )
& ( S @ Xx2 @ Xy2 @ Xz2 ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [R: a > a > a > $o] :
( $true
=> $true )
& ! [R: a > a > a > $o,S: a > a > a > $o] :
( ( $true
& $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( R @ Xa @ Xb @ Xc )
=> ( S @ Xa @ Xb @ Xc ) ) )
=> ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( S @ Xx1 @ Xy1 @ Xz1 )
& ( S @ Xx2 @ Xy2 @ Xz2 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [R: a > a > a > $o] :
( $true
=> $true ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ! [R: a > a > a > $o,S: a > a > a > $o] :
( ( $true
& $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( R @ Xa @ Xb @ Xc )
=> ( S @ Xa @ Xb @ Xc ) ) )
=> ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( S @ Xx1 @ Xy1 @ Xz1 )
& ( S @ Xx2 @ Xy2 @ Xz2 ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ! [R: a > a > a > $o] :
( $true
=> $true ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ! [R: a > a > a > $o,S: a > a > a > $o] :
( ( $true
& $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( R @ Xa @ Xb @ Xc )
=> ( S @ Xa @ Xb @ Xc ) ) )
=> ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( S @ Xx1 @ Xy1 @ Xz1 )
& ( S @ Xx2 @ Xy2 @ Xz2 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ $true )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ! [SY58: a,SY59: a,SY60: a] :
( ~ ( sK1_R @ SY58 @ SY59 @ SY60 )
| ( sK2_SY21 @ SY58 @ SY59 @ SY60 ) )
& $true
& ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
& ( sK33_REN
=> ( ( sK3_SY61
= ( cP @ sK24_SY157 @ sK25_SY232 ) )
& ( sK4_SY94
= ( cP @ sK26_SY237 @ sK27_SY241 ) )
& ( sK5_SY126
= ( cP @ sK28_SY244 @ sK29_SY246 ) )
& ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 )
& ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) )
& ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
& ( sK32_REN
=> ( ( sK3_SY61
= ( cP @ sK18_SY163 @ sK19_SY217 ) )
& ( sK4_SY94
= ( cP @ sK20_SY222 @ sK21_SY226 ) )
& ( sK5_SY126
= ( cP @ sK22_SY229 @ sK23_SY231 ) )
& ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 )
& ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) )
& ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
& ( sK31_REN
=> ( ( sK3_SY61
= ( cP @ sK12_SY169 @ sK13_SY202 ) )
& ( sK4_SY94
= ( cP @ sK14_SY207 @ sK15_SY211 ) )
& ( sK5_SY126
= ( cP @ sK16_SY214 @ sK17_SY216 ) )
& ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 )
& ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) )
& ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
& ( sK30_REN
=> ( ( sK3_SY61
= ( cP @ sK6_SY175 @ sK7_SY187 ) )
& ( sK4_SY94
= ( cP @ sK8_SY192 @ sK9_SY196 ) )
& ( sK5_SY126
= ( cP @ sK10_SY199 @ sK11_SY201 ) )
& ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 )
& ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) )
& ! [SY181: a,SY182: a,SY183: a,SY184: a,SY185: a,SY186: a] :
( ( sK3_SY61
!= ( cP @ SY181 @ SY182 ) )
| ( sK4_SY94
!= ( cP @ SY183 @ SY184 ) )
| ( sK5_SY126
!= ( cP @ SY185 @ SY186 ) )
| ~ ( sK2_SY21 @ SY181 @ SY183 @ SY185 )
| ~ ( sK2_SY21 @ SY182 @ SY184 @ SY186 ) )
& ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
& ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ~ $true )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(12,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [SY58: a,SY59: a,SY60: a] :
( ~ ( sK1_R @ SY58 @ SY59 @ SY60 )
| ( sK2_SY21 @ SY58 @ SY59 @ SY60 ) )
& $true
& ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
& ( sK33_REN
=> ( ( sK3_SY61
= ( cP @ sK24_SY157 @ sK25_SY232 ) )
& ( sK4_SY94
= ( cP @ sK26_SY237 @ sK27_SY241 ) )
& ( sK5_SY126
= ( cP @ sK28_SY244 @ sK29_SY246 ) )
& ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 )
& ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) )
& ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
& ( sK32_REN
=> ( ( sK3_SY61
= ( cP @ sK18_SY163 @ sK19_SY217 ) )
& ( sK4_SY94
= ( cP @ sK20_SY222 @ sK21_SY226 ) )
& ( sK5_SY126
= ( cP @ sK22_SY229 @ sK23_SY231 ) )
& ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 )
& ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) )
& ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
& ( sK31_REN
=> ( ( sK3_SY61
= ( cP @ sK12_SY169 @ sK13_SY202 ) )
& ( sK4_SY94
= ( cP @ sK14_SY207 @ sK15_SY211 ) )
& ( sK5_SY126
= ( cP @ sK16_SY214 @ sK17_SY216 ) )
& ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 )
& ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) )
& ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
& ( sK30_REN
=> ( ( sK3_SY61
= ( cP @ sK6_SY175 @ sK7_SY187 ) )
& ( sK4_SY94
= ( cP @ sK8_SY192 @ sK9_SY196 ) )
& ( sK5_SY126
= ( cP @ sK10_SY199 @ sK11_SY201 ) )
& ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 )
& ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) )
& ! [SY181: a,SY182: a,SY183: a,SY184: a,SY185: a,SY186: a] :
( ( sK3_SY61
!= ( cP @ SY181 @ SY182 ) )
| ( sK4_SY94
!= ( cP @ SY183 @ SY184 ) )
| ( sK5_SY126
!= ( cP @ SY185 @ SY186 ) )
| ~ ( sK2_SY21 @ SY181 @ SY183 @ SY185 )
| ~ ( sK2_SY21 @ SY182 @ SY184 @ SY186 ) )
& ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
& ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(14,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_R @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX2 ) )
| ~ $true )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) )
| ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_R @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX2 ) )
| ~ $true )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) )
| ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_R @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX2 ) )
| ~ $true ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(17,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) )
| ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_R @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX2 ) )
| ~ $true ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) )
| ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_R @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX2 ) )
| ~ $true )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) )
| ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_R @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ $true )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) )
| ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK1_R @ SX0 @ SX1 @ SX2 )
| ( sK2_SY21 @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
$true = $true,
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) )
| ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV1: a] :
( ( ! [SY247: a,SY248: a] :
( ~ ( sK1_R @ SV1 @ SY247 @ SY248 )
| ( sK2_SY21 @ SV1 @ SY247 @ SY248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) )
| ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: a,SV1: a] :
( ( ! [SY249: a] :
( ~ ( sK1_R @ SV1 @ SV2 @ SY249 )
| ( sK2_SY21 @ SV1 @ SV2 @ SY249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(37,plain,
( ( ~ ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(38,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ~ ( sK1_R @ SV1 @ SV2 @ SV3 )
| ( sK2_SY21 @ SV1 @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( ~ ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
( ( ~ ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
( ( ! [SX0: a,SX1: a,SX2: a,SX3: a,SX4: a,SX5: a] :
( ( sK3_SY61
!= ( cP @ SX0 @ SX1 ) )
| ( sK4_SY94
!= ( cP @ SX2 @ SX3 ) )
| ( sK5_SY126
!= ( cP @ SX4 @ SX5 ) )
| ~ ( sK2_SY21 @ SX0 @ SX2 @ SX4 )
| ~ ( sK2_SY21 @ SX1 @ SX3 @ SX5 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(42,plain,
( ( ~ ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ( ~ ( sK1_R @ SV1 @ SV2 @ SV3 ) )
= $true )
| ( ( sK2_SY21 @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
| ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
| ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV4: a] :
( ( ! [SY250: a,SY251: a,SY252: a,SY253: a,SY254: a] :
( ( sK3_SY61
!= ( cP @ SV4 @ SY250 ) )
| ( sK4_SY94
!= ( cP @ SY251 @ SY252 ) )
| ( sK5_SY126
!= ( cP @ SY253 @ SY254 ) )
| ~ ( sK2_SY21 @ SV4 @ SY251 @ SY253 )
| ~ ( sK2_SY21 @ SY250 @ SY252 @ SY254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(47,plain,
( ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
| ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ( sK1_R @ SV1 @ SV2 @ SV3 )
= $false )
| ( ( sK2_SY21 @ SV1 @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
( ( ~ ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
( ( ~ ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(51,plain,
( ( ~ ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
( ( ~ ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV5: a,SV4: a] :
( ( ! [SY255: a,SY256: a,SY257: a,SY258: a] :
( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) )
| ( sK4_SY94
!= ( cP @ SY255 @ SY256 ) )
| ( sK5_SY126
!= ( cP @ SY257 @ SY258 ) )
| ~ ( sK2_SY21 @ SV4 @ SY255 @ SY257 )
| ~ ( sK2_SY21 @ SV5 @ SY256 @ SY258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
( ( ~ ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(55,plain,
( ( ~ ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(56,plain,
( ( ~ ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(57,plain,
( ( ~ ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
( ( ~ ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ~ ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(60,plain,
! [SV6: a,SV5: a,SV4: a] :
( ( ! [SY259: a,SY260: a,SY261: a] :
( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) )
| ( sK4_SY94
!= ( cP @ SV6 @ SY259 ) )
| ( sK5_SY126
!= ( cP @ SY260 @ SY261 ) )
| ~ ( sK2_SY21 @ SV4 @ SV6 @ SY260 )
| ~ ( sK2_SY21 @ SV5 @ SY259 @ SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(61,plain,
( ( ( sK3_SY61 != c0 )
| ( sK4_SY94 != sK5_SY126 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
( ( ( sK4_SY94 != c0 )
| ( sK3_SY61 != sK5_SY126 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(63,plain,
( ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
( ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
( ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
| ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
( ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
| ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV7: a,SV6: a,SV5: a,SV4: a] :
( ( ! [SY262: a,SY263: a] :
( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) )
| ( sK4_SY94
!= ( cP @ SV6 @ SV7 ) )
| ( sK5_SY126
!= ( cP @ SY262 @ SY263 ) )
| ~ ( sK2_SY21 @ SV4 @ SV6 @ SY262 )
| ~ ( sK2_SY21 @ SV5 @ SV7 @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(68,plain,
( ( ( ( sK3_SY61 != c0 ) )
= $true )
| ( ( ( sK4_SY94 != sK5_SY126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(69,plain,
( ( ( ( sK4_SY94 != c0 ) )
= $true )
| ( ( ( sK3_SY61 != sK5_SY126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(70,plain,
( ( ~ ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(71,plain,
( ( ~ ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(72,plain,
( ( ~ ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(73,plain,
( ( ~ ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(74,plain,
( ( ~ ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(75,plain,
( ( ~ ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(76,plain,
( ( ~ ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(77,plain,
( ( ~ ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(78,plain,
! [SV8: a,SV7: a,SV6: a,SV5: a,SV4: a] :
( ( ! [SY264: a] :
( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) )
| ( sK4_SY94
!= ( cP @ SV6 @ SV7 ) )
| ( sK5_SY126
!= ( cP @ SV8 @ SY264 ) )
| ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 )
| ~ ( sK2_SY21 @ SV5 @ SV7 @ SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(79,plain,
( ( ( sK3_SY61 = c0 )
= $false )
| ( ( ( sK4_SY94 != sK5_SY126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(80,plain,
( ( ( sK4_SY94 = c0 )
= $false )
| ( ( ( sK3_SY61 != sK5_SY126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(81,plain,
( ( sK33_REN
| ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(82,plain,
( ( ~ sK33_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(83,plain,
( ( sK32_REN
| ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(84,plain,
( ( ~ sK32_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(85,plain,
( ( sK31_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(86,plain,
( ( ~ sK31_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(87,plain,
( ( sK30_REN
| ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(88,plain,
( ( ~ sK30_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(89,plain,
! [SV9: a,SV8: a,SV7: a,SV6: a,SV5: a,SV4: a] :
( ( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) )
| ( sK4_SY94
!= ( cP @ SV6 @ SV7 ) )
| ( sK5_SY126
!= ( cP @ SV8 @ SV9 ) )
| ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 )
| ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(90,plain,
( ( ( sK4_SY94 = sK5_SY126 )
= $false )
| ( ( sK3_SY61 = c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(91,plain,
( ( ( sK3_SY61 = sK5_SY126 )
= $false )
| ( ( sK4_SY94 = c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(92,plain,
( ( sK33_REN = $true )
| ( ( ( sK3_SY61 = c0 )
| ( sK4_SY94 = c0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(93,plain,
( ( ( ~ sK33_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(94,plain,
( ( sK32_REN = $true )
| ( ( ( sK3_SY61 = c0 )
| ( sK3_SY61 = sK5_SY126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(95,plain,
( ( ( ~ sK32_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(96,plain,
( ( sK31_REN = $true )
| ( ( ( sK4_SY94 = sK5_SY126 )
| ( sK4_SY94 = c0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(97,plain,
( ( ( ~ sK31_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(98,plain,
( ( sK30_REN = $true )
| ( ( ( sK4_SY94 = sK5_SY126 )
| ( sK3_SY61 = sK5_SY126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(99,plain,
( ( ( ~ sK30_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(100,plain,
! [SV9: a,SV8: a,SV7: a,SV6: a,SV5: a,SV4: a] :
( ( ( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) )
| ( sK4_SY94
!= ( cP @ SV6 @ SV7 ) )
| ( sK5_SY126
!= ( cP @ SV8 @ SV9 ) )
| ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(101,plain,
( ( ( sK3_SY61 = c0 )
= $true )
| ( ( sK4_SY94 = c0 )
= $true )
| ( sK33_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(102,plain,
( ( sK33_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(103,plain,
( ( ( sK3_SY61 = c0 )
= $true )
| ( ( sK3_SY61 = sK5_SY126 )
= $true )
| ( sK32_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(104,plain,
( ( sK32_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(105,plain,
( ( ( sK4_SY94 = sK5_SY126 )
= $true )
| ( ( sK4_SY94 = c0 )
= $true )
| ( sK31_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(106,plain,
( ( sK31_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(107,plain,
( ( ( sK4_SY94 = sK5_SY126 )
= $true )
| ( ( sK3_SY61 = sK5_SY126 )
= $true )
| ( sK30_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(108,plain,
( ( sK30_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(109,plain,
! [SV9: a,SV8: a,SV7: a,SV6: a,SV5: a,SV4: a] :
( ( ( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) )
| ( sK4_SY94
!= ( cP @ SV6 @ SV7 ) )
| ( sK5_SY126
!= ( cP @ SV8 @ SV9 ) ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(110,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
| ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(111,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
| ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(112,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
| ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(113,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
| ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV9: a,SV8: a,SV7: a,SV6: a,SV5: a,SV4: a] :
( ( ( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) )
| ( sK4_SY94
!= ( cP @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( sK5_SY126
!= ( cP @ SV8 @ SV9 ) ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(115,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(116,plain,
( ( ( ~ ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(117,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(118,plain,
( ( ( ~ ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(119,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(120,plain,
( ( ( ~ ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(121,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(122,plain,
( ( ( ~ ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(123,plain,
! [SV9: a,SV8: a,SV7: a,SV6: a,SV5: a,SV4: a] :
( ( ( ( sK3_SY61
!= ( cP @ SV4 @ SV5 ) ) )
= $true )
| ( ( ( sK4_SY94
!= ( cP @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( sK5_SY126
!= ( cP @ SV8 @ SV9 ) ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(124,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) ) )
= $true )
| ( sK33_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(125,plain,
( ( ( sK1_R @ sK25_SY232 @ sK27_SY241 @ sK29_SY246 )
= $true )
| ( sK33_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(126,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) ) )
= $true )
| ( sK32_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(127,plain,
( ( ( sK1_R @ sK19_SY217 @ sK21_SY226 @ sK23_SY231 )
= $true )
| ( sK32_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(128,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) ) )
= $true )
| ( sK31_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(129,plain,
( ( ( sK1_R @ sK13_SY202 @ sK15_SY211 @ sK17_SY216 )
= $true )
| ( sK31_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(130,plain,
( ( ( ~ ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) ) )
= $true )
| ( sK30_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(131,plain,
( ( ( sK1_R @ sK7_SY187 @ sK9_SY196 @ sK11_SY201 )
= $true )
| ( sK30_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(132,plain,
! [SV9: a,SV8: a,SV7: a,SV6: a,SV5: a,SV4: a] :
( ( ( sK3_SY61
= ( cP @ SV4 @ SV5 ) )
= $false )
| ( ( ( sK4_SY94
!= ( cP @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( sK5_SY126
!= ( cP @ SV8 @ SV9 ) ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(133,plain,
( ( ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
| ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(134,plain,
( ( ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
| ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(135,plain,
( ( ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
| ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(136,plain,
( ( ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
| ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(137,plain,
! [SV9: a,SV8: a,SV5: a,SV4: a,SV7: a,SV6: a] :
( ( ( sK4_SY94
= ( cP @ SV6 @ SV7 ) )
= $false )
| ( ( sK3_SY61
= ( cP @ SV4 @ SV5 ) )
= $false )
| ( ( ( sK5_SY126
!= ( cP @ SV8 @ SV9 ) ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(138,plain,
( ( ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(139,plain,
( ( ( ~ ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(140,plain,
( ( ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(141,plain,
( ( ( ~ ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(142,plain,
( ( ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(143,plain,
( ( ( ~ ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(144,plain,
( ( ( ~ ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(145,plain,
( ( ( ~ ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(146,plain,
! [SV7: a,SV6: a,SV5: a,SV4: a,SV9: a,SV8: a] :
( ( ( sK5_SY126
= ( cP @ SV8 @ SV9 ) )
= $false )
| ( ( sK3_SY61
= ( cP @ SV4 @ SV5 ) )
= $false )
| ( ( sK4_SY94
= ( cP @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( sK2_SY21 @ SV4 @ SV6 @ SV8 ) )
= $true )
| ( ( ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(147,plain,
( ( ( ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) ) )
= $true )
| ( sK33_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(148,plain,
( ( ( sK1_R @ sK24_SY157 @ sK26_SY237 @ sK28_SY244 )
= $true )
| ( sK33_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(149,plain,
( ( ( ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) ) )
= $true )
| ( sK32_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(150,plain,
( ( ( sK1_R @ sK18_SY163 @ sK20_SY222 @ sK22_SY229 )
= $true )
| ( sK32_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(151,plain,
( ( ( ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) ) )
= $true )
| ( sK31_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(152,plain,
( ( ( sK1_R @ sK12_SY169 @ sK14_SY207 @ sK16_SY214 )
= $true )
| ( sK31_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(153,plain,
( ( ( ~ ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) ) )
= $true )
| ( sK30_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(154,plain,
( ( ( sK1_R @ sK6_SY175 @ sK8_SY192 @ sK10_SY199 )
= $true )
| ( sK30_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(155,plain,
! [SV9: a,SV5: a,SV7: a,SV8: a,SV6: a,SV4: a] :
( ( ( sK2_SY21 @ SV4 @ SV6 @ SV8 )
= $false )
| ( ( sK4_SY94
= ( cP @ SV6 @ SV7 ) )
= $false )
| ( ( sK3_SY61
= ( cP @ SV4 @ SV5 ) )
= $false )
| ( ( sK5_SY126
= ( cP @ SV8 @ SV9 ) )
= $false )
| ( ( ~ ( sK2_SY21 @ SV5 @ SV7 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(156,plain,
( ( ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
| ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(157,plain,
( ( ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
| ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(158,plain,
( ( ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
| ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(159,plain,
( ( ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
| ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(160,plain,
! [SV6: a,SV4: a,SV8: a,SV9: a,SV7: a,SV5: a] :
( ( ( sK2_SY21 @ SV5 @ SV7 @ SV9 )
= $false )
| ( ( sK5_SY126
= ( cP @ SV8 @ SV9 ) )
= $false )
| ( ( sK3_SY61
= ( cP @ SV4 @ SV5 ) )
= $false )
| ( ( sK4_SY94
= ( cP @ SV6 @ SV7 ) )
= $false )
| ( ( sK2_SY21 @ SV4 @ SV6 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(161,plain,
( ( ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(162,plain,
( ( ( ( sK5_SY126
!= ( cP @ sK28_SY244 @ sK29_SY246 ) ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(163,plain,
( ( ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(164,plain,
( ( ( ( sK5_SY126
!= ( cP @ sK22_SY229 @ sK23_SY231 ) ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(165,plain,
( ( ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(166,plain,
( ( ( ( sK5_SY126
!= ( cP @ sK16_SY214 @ sK17_SY216 ) ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(167,plain,
( ( ( ~ ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(168,plain,
( ( ( ( sK5_SY126
!= ( cP @ sK10_SY199 @ sK11_SY201 ) ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(169,plain,
( ( ( ~ ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) ) )
= $true )
| ( sK33_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(170,plain,
( ( ( sK5_SY126
= ( cP @ sK28_SY244 @ sK29_SY246 ) )
= $true )
| ( sK33_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(171,plain,
( ( ( ~ ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) ) )
= $true )
| ( sK32_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(172,plain,
( ( ( sK5_SY126
= ( cP @ sK22_SY229 @ sK23_SY231 ) )
= $true )
| ( sK32_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(173,plain,
( ( ( ~ ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) ) )
= $true )
| ( sK31_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(174,plain,
( ( ( sK5_SY126
= ( cP @ sK16_SY214 @ sK17_SY216 ) )
= $true )
| ( sK31_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(175,plain,
( ( ( ~ ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) ) )
= $true )
| ( sK30_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(176,plain,
( ( ( sK5_SY126
= ( cP @ sK10_SY199 @ sK11_SY201 ) )
= $true )
| ( sK30_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(177,plain,
( ( ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) )
| ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(178,plain,
( ( ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) )
| ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(179,plain,
( ( ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) )
| ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(180,plain,
( ( ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) )
| ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(181,plain,
( ( ( ( sK3_SY61
!= ( cP @ sK24_SY157 @ sK25_SY232 ) ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(182,plain,
( ( ( ( sK4_SY94
!= ( cP @ sK26_SY237 @ sK27_SY241 ) ) )
= $false )
| ( sK33_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(183,plain,
( ( ( ( sK3_SY61
!= ( cP @ sK18_SY163 @ sK19_SY217 ) ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(184,plain,
( ( ( ( sK4_SY94
!= ( cP @ sK20_SY222 @ sK21_SY226 ) ) )
= $false )
| ( sK32_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(185,plain,
( ( ( ( sK3_SY61
!= ( cP @ sK12_SY169 @ sK13_SY202 ) ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(186,plain,
( ( ( ( sK4_SY94
!= ( cP @ sK14_SY207 @ sK15_SY211 ) ) )
= $false )
| ( sK31_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(187,plain,
( ( ( ( sK3_SY61
!= ( cP @ sK6_SY175 @ sK7_SY187 ) ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(188,plain,
( ( ( ( sK4_SY94
!= ( cP @ sK8_SY192 @ sK9_SY196 ) ) )
= $false )
| ( sK30_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(189,plain,
( ( ( sK3_SY61
= ( cP @ sK24_SY157 @ sK25_SY232 ) )
= $true )
| ( sK33_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(190,plain,
( ( ( sK4_SY94
= ( cP @ sK26_SY237 @ sK27_SY241 ) )
= $true )
| ( sK33_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(191,plain,
( ( ( sK3_SY61
= ( cP @ sK18_SY163 @ sK19_SY217 ) )
= $true )
| ( sK32_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(192,plain,
( ( ( sK4_SY94
= ( cP @ sK20_SY222 @ sK21_SY226 ) )
= $true )
| ( sK32_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(193,plain,
( ( ( sK3_SY61
= ( cP @ sK12_SY169 @ sK13_SY202 ) )
= $true )
| ( sK31_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(194,plain,
( ( ( sK4_SY94
= ( cP @ sK14_SY207 @ sK15_SY211 ) )
= $true )
| ( sK31_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(195,plain,
( ( ( sK3_SY61
= ( cP @ sK6_SY175 @ sK7_SY187 ) )
= $true )
| ( sK30_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(196,plain,
( ( ( sK4_SY94
= ( cP @ sK8_SY192 @ sK9_SY196 ) )
= $true )
| ( sK30_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(197,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[27,196,195,194,193,192,191,190,189,176,174,172,170,160,154,152,150,148,131,129,127,125,107,105,103,101,91,90,48]) ).
thf(198,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[197,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV191^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 13:56:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 0
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.38 (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)...........
% 0.19/0.58
% 0.19/0.58 ********************************
% 0.19/0.58 * All subproblems solved! *
% 0.19/0.58 ********************************
% 0.19/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:197,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.42/0.60
% 0.42/0.60 %**** Beginning of derivation protocol ****
% 0.42/0.60 % SZS output start CNFRefutation
% See solution above
% 0.42/0.61
% 0.42/0.61 %**** End of derivation protocol ****
% 0.42/0.61 %**** no. of clauses in derivation: 198 ****
% 0.42/0.61 %**** clause counter: 197 ****
% 0.42/0.61
% 0.42/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:197,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------