%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP035^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:23:42 AM UTC 2026
% Result : Theorem 4.63s 1.15s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 652 ( 132 unt; 0 typ; 0 def)
% Number of atoms : 5732 (2847 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 5261 ( 988 ~;1510 |; 6 &;2745 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 526 ( 526 >; 0 *; 0 +; 0 <<)
% Number of symbols : 81 ( 78 usr; 11 con; 0-4 aty)
% Number of variables : 955 ( 12 ^; 943 !; 0 ?; 955 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_complex,type,
complex: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_set_complex,type,
set_complex: $tType ).
thf(tp_set_complex_complex,type,
set_complex_complex: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_set_real,type,
set_real: $tType ).
thf(tp_arcosh_complex,type,
arcosh_complex: complex > complex ).
thf(tp_arcosh_real,type,
arcosh_real: real > real ).
thf(tp_arsinh_complex,type,
arsinh_complex: complex > complex ).
thf(tp_arsinh_real,type,
arsinh_real: real > real ).
thf(tp_artanh_complex,type,
artanh_complex: complex > complex ).
thf(tp_artanh_real,type,
artanh_real: real > real ).
thf(tp_collect_complex,type,
collect_complex: ( complex > $o ) > set_complex ).
thf(tp_comp_c130555887omplex,type,
comp_c130555887omplex: ( complex > complex ) > ( complex > complex ) > complex > complex ).
thf(tp_comp_c1610621014omplex,type,
comp_c1610621014omplex: ( ( complex > complex ) > complex > complex ) > ( ( complex > complex ) > complex > complex ) > ( complex > complex ) > complex > complex ).
thf(tp_comp_c1884694328l_real,type,
comp_c1884694328l_real: ( ( complex > complex ) > real ) > ( real > complex > complex ) > real > real ).
thf(tp_comp_c606622857omplex,type,
comp_c606622857omplex: ( complex > complex > complex ) > ( ( complex > complex ) > complex ) > ( complex > complex ) > complex > complex ).
thf(tp_comp_c819638635l_real,type,
comp_c819638635l_real: ( complex > real ) > ( real > complex ) > real > real ).
thf(tp_comp_c881053372omplex,type,
comp_c881053372omplex: ( ( complex > complex ) > complex ) > ( complex > complex > complex ) > complex > complex ).
thf(tp_comp_r2009261319omplex,type,
comp_r2009261319omplex: ( real > complex > complex ) > ( ( complex > complex ) > real ) > ( complex > complex ) > complex > complex ).
thf(tp_comp_r667767405omplex,type,
comp_r667767405omplex: ( real > complex ) > ( complex > real ) > complex > complex ).
thf(tp_comp_real_real_real,type,
comp_real_real_real: ( real > real ) > ( real > real ) > real > real ).
thf(tp_comple372758642hic_on,type,
comple372758642hic_on: ( complex > complex ) > set_complex > $o ).
thf(tp_compow1098280738omplex,type,
compow1098280738omplex: nat > ( ( complex > complex ) > complex > complex ) > ( complex > complex ) > complex > complex ).
thf(tp_compow1667379464omplex,type,
compow1667379464omplex: nat > ( complex > complex ) > complex > complex ).
thf(tp_compow1723822618l_real,type,
compow1723822618l_real: nat > ( ( real > real ) > real > real ) > ( real > real ) > real > real ).
thf(tp_compow_real_real,type,
compow_real_real: nat > ( real > real ) > real > real ).
thf(tp_deriv_complex,type,
deriv_complex: ( complex > complex ) > complex > complex ).
thf(tp_deriv_real,type,
deriv_real: ( real > real ) > real > real ).
thf(tp_f,type,
f: complex > complex ).
thf(tp_funpow1854104714omplex,type,
funpow1854104714omplex: nat > ( ( complex > complex ) > complex > complex ) > ( complex > complex ) > complex > complex ).
thf(tp_funpow_complex,type,
funpow_complex: nat > ( complex > complex ) > complex > complex ).
thf(tp_funpow_real_real,type,
funpow_real_real: nat > ( ( real > real ) > real > real ) > ( real > real ) > real > real ).
thf(tp_g,type,
g: complex > complex ).
thf(tp_id_complex,type,
id_complex: complex > complex ).
thf(tp_id_complex_complex,type,
id_complex_complex: ( complex > complex ) > complex > complex ).
thf(tp_id_real,type,
id_real: real > real ).
thf(tp_id_real_real,type,
id_real_real: ( real > real ) > real > real ).
thf(tp_id_set1618538368omplex,type,
id_set1618538368omplex: set_complex_complex > set_complex_complex ).
thf(tp_id_set_complex,type,
id_set_complex: set_complex > set_complex ).
thf(tp_id_set_real,type,
id_set_real: set_real > set_real ).
thf(tp_if_complex,type,
if_complex: $o > complex > complex > complex ).
thf(tp_if_nat,type,
if_nat: $o > nat > nat > nat ).
thf(tp_if_real,type,
if_real: $o > real > real > real ).
thf(tp_image_58037603omplex,type,
image_58037603omplex: ( complex > complex ) > set_complex > set_complex ).
thf(tp_image_944012797omplex,type,
image_944012797omplex: ( ( complex > complex ) > complex > complex ) > set_complex_complex > set_complex_complex ).
thf(tp_image_real_real,type,
image_real_real: ( real > real ) > set_real > set_real ).
thf(tp_ln_ln_complex,type,
ln_ln_complex: complex > complex ).
thf(tp_ln_ln_real,type,
ln_ln_real: real > real ).
thf(tp_member_complex,type,
member_complex: complex > set_complex > $o ).
thf(tp_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(tp_member_real,type,
member_real: real > set_real > $o ).
thf(tp_one_one_complex,type,
one_one_complex: complex ).
thf(tp_one_one_nat,type,
one_one_nat: nat ).
thf(tp_one_one_real,type,
one_one_real: real ).
thf(tp_ord_le701908932omplex,type,
ord_le701908932omplex: set_complex > set_complex > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_s,type,
s: set_complex ).
thf(tp_sK10_SY49,type,
sK10_SY49: ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK11_SV65,type,
sK11_SV65: ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK12_SV67,type,
sK12_SV67: ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK1_SY33,type,
sK1_SY33: ( complex > complex ) > complex ).
thf(tp_sK2_SV42,type,
sK2_SV42: ( complex > complex ) > complex ).
thf(tp_sK3_SV43,type,
sK3_SV43: ( complex > complex ) > ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK4_SV44,type,
sK4_SV44: complex > ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK5_SV45,type,
sK5_SV45: complex > ( complex > complex ) > ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK6_SV46,type,
sK6_SV46: ( complex > complex ) > ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK7_SY48,type,
sK7_SY48: ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK8_SV51,type,
sK8_SV51: ( complex > complex ) > ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_sK9_SV53,type,
sK9_SV53: ( complex > complex ) > ( complex > complex ) > complex ).
thf(tp_t,type,
t: set_complex ).
thf(tp_times_1316095593omplex,type,
times_1316095593omplex: set_complex > set_complex > set_complex ).
thf(tp_times_times_complex,type,
times_times_complex: complex > complex > complex ).
thf(tp_times_times_nat,type,
times_times_nat: nat > nat > nat ).
thf(tp_times_times_real,type,
times_times_real: real > real > real ).
thf(tp_times_times_set_nat,type,
times_times_set_nat: set_nat > set_nat > set_nat ).
thf(tp_times_times_set_real,type,
times_times_set_real: set_real > set_real > set_real ).
thf(tp_topolo2127351575omplex,type,
topolo2127351575omplex: set_complex > $o ).
thf(tp_topolo935673511omplex,type,
topolo935673511omplex: set_complex > $o ).
thf(tp_w,type,
w: complex ).
thf(tp_zero_zero_complex,type,
zero_zero_complex: complex ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(tp_zero_zero_real,type,
zero_zero_real: real ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Complex__Ocomplex_T) ).
thf(48,axiom,
! [Sup: set_complex > complex,A2: set_complex] :
( ( Sup @ ( image_58037603omplex @ id_complex @ A2 ) )
= ( Sup @ A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_Sup_OSUP__id__eq) ).
thf(164,axiom,
! [F: complex > complex,G2: complex > complex,H: complex > complex] :
( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
=> ( ( ( comp_c130555887omplex @ G2 @ H )
= id_complex )
=> ( F = H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_left__right__inverse__eq) ).
thf(173,axiom,
! [F: complex > complex,G2: complex > complex] :
( ( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
& ( ( comp_c130555887omplex @ G2 @ F )
= id_complex ) )
= ( ! [X: complex] :
( ( F @ ( G2 @ X ) )
= X )
& ! [X: complex] :
( ( G2 @ ( F @ X ) )
= X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_186_isomorphism__expand) ).
thf(182,axiom,
! [F: complex > complex,G2: complex > complex,X2: complex] :
( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
=> ( ( F @ ( G2 @ X2 ) )
= X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_pointfree__idE) ).
thf(184,axiom,
! [S2: set_complex] : ( comple372758642hic_on @ id_complex @ S2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_holomorphic__on__id) ).
thf(237,axiom,
! [X2: complex] :
( ( times_times_complex @ one_one_complex @ X2 )
= X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_vector__space__over__itself_Oscale__one) ).
thf(238,axiom,
! [T: complex > complex] :
( ( comp_c130555887omplex @ id_complex @ T )
= T ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_fun_Omap__id) ).
thf(245,axiom,
! [A: complex] :
( ( times_times_complex @ one_one_complex @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_comm__monoid__mult__class_Omult__1) ).
thf(248,axiom,
! [A: complex] :
( ( times_times_complex @ A @ one_one_complex )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_mult_Ocomm__neutral) ).
thf(249,axiom,
! [A: complex > complex,B: complex > complex,C: complex > complex,V: complex] :
( ( ( comp_c130555887omplex @ A @ B )
= ( comp_c130555887omplex @ id_complex @ C ) )
=> ( ( A @ ( B @ V ) )
= ( C @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_comp__eq__id__dest) ).
thf(307,axiom,
! [F: complex > complex] :
( ( comp_c130555887omplex @ F @ id_complex )
= F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_comp__id) ).
thf(308,axiom,
! [G2: complex > complex] :
( ( comp_c130555887omplex @ id_complex @ G2 )
= G2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_id__comp) ).
thf(311,axiom,
! [A: complex] :
( ( times_times_complex @ one_one_complex @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_mult_Oleft__neutral) ).
thf(314,axiom,
! [A: complex] :
( ( times_times_complex @ A @ one_one_complex )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_mult_Oright__neutral) ).
thf(332,axiom,
zero_zero_complex != one_one_complex,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_zero__neq__one) ).
thf(338,axiom,
! [N: nat] :
( ( compow1667379464omplex @ N @ id_complex )
= id_complex ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_id__funpow) ).
thf(343,axiom,
! [X2: complex] :
( ( one_one_complex = X2 )
= ( X2 = one_one_complex ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_one__reorient) ).
thf(346,axiom,
! [F: complex > complex] :
( ( ! [X: complex] :
( ( F @ X )
= X ) )
= ( F = id_complex ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_eq__id__iff) ).
thf(349,axiom,
( id_complex
= ( ^ [X: complex] : X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_id__def) ).
thf(352,axiom,
( id_complex
= ( ^ [X: complex] : X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_id__apply) ).
thf(356,axiom,
( ( deriv_complex @ id_complex )
= ( ^ [Z2: complex] : one_one_complex ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_deriv__id) ).
thf(360,conjecture,
( ( deriv_complex @ id_complex @ w )
= one_one_complex ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(361,negated_conjecture,
( ( ( deriv_complex @ id_complex @ w )
= one_one_complex )
= $false ),
inference(negate_conjecture,[status(cth)],[360]) ).
thf(362,plain,
( ( ( deriv_complex @ id_complex @ w )
= one_one_complex )
= $false ),
inference(unfold_def,[status(thm)],[361]) ).
thf(363,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(364,plain,
( ( ! [Sup: set_complex > complex,A2: set_complex] :
( ( Sup @ ( image_58037603omplex @ id_complex @ A2 ) )
= ( Sup @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(365,plain,
( ( ! [F: complex > complex,G2: complex > complex,H: complex > complex] :
( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
=> ( ( ( comp_c130555887omplex @ G2 @ H )
= id_complex )
=> ( F = H ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(366,plain,
( ( ! [F: complex > complex,G2: complex > complex] :
( ( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
& ( ( comp_c130555887omplex @ G2 @ F )
= id_complex ) )
= ( ! [X: complex] :
( ( F @ ( G2 @ X ) )
= X )
& ! [X: complex] :
( ( G2 @ ( F @ X ) )
= X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(367,plain,
( ( ! [F: complex > complex,G2: complex > complex,X2: complex] :
( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
=> ( ( F @ ( G2 @ X2 ) )
= X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(368,plain,
( ( ! [S2: set_complex] : ( comple372758642hic_on @ id_complex @ S2 ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(369,plain,
( ( ! [X2: complex] :
( ( times_times_complex @ one_one_complex @ X2 )
= X2 ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(370,plain,
( ( ! [T: complex > complex] :
( ( comp_c130555887omplex @ id_complex @ T )
= T ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(371,plain,
( ( ! [A: complex] :
( ( times_times_complex @ one_one_complex @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(372,plain,
( ( ! [A: complex] :
( ( times_times_complex @ A @ one_one_complex )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(373,plain,
( ( ! [A: complex > complex,B: complex > complex,C: complex > complex,V: complex] :
( ( ( comp_c130555887omplex @ A @ B )
= ( comp_c130555887omplex @ id_complex @ C ) )
=> ( ( A @ ( B @ V ) )
= ( C @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(374,plain,
( ( ! [F: complex > complex] :
( ( comp_c130555887omplex @ F @ id_complex )
= F ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(375,plain,
( ( ! [G2: complex > complex] :
( ( comp_c130555887omplex @ id_complex @ G2 )
= G2 ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(376,plain,
( ( ! [A: complex] :
( ( times_times_complex @ one_one_complex @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(377,plain,
( ( ! [A: complex] :
( ( times_times_complex @ A @ one_one_complex )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(378,plain,
( ( zero_zero_complex != one_one_complex )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(379,plain,
( ( ! [N: nat] :
( ( compow1667379464omplex @ N @ id_complex )
= id_complex ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(380,plain,
( ( ! [X2: complex] :
( ( one_one_complex = X2 )
= ( X2 = one_one_complex ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(381,plain,
( ( ! [F: complex > complex] :
( ( ! [X: complex] :
( ( F @ X )
= X ) )
= ( F = id_complex ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(382,plain,
( ( id_complex
= ( ^ [X: complex] : X ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(383,plain,
( ( id_complex
= ( ^ [X: complex] : X ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(384,plain,
( ( ( deriv_complex @ id_complex )
= ( ^ [Z2: complex] : one_one_complex ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(385,plain,
( ( ( deriv_complex @ id_complex @ w )
!= one_one_complex )
= $true ),
inference(polarity_switch,[status(thm)],[362]) ).
thf(386,plain,
( ( ( deriv_complex @ id_complex )
= ( ^ [Z2: complex] : one_one_complex ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(387,plain,
( ( id_complex
= ( ^ [X: complex] : X ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(388,plain,
( ( id_complex
= ( ^ [X: complex] : X ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(389,plain,
( ( ! [F: complex > complex] :
( ( ! [X: complex] :
( ( F @ X )
= X ) )
= ( F = id_complex ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(390,plain,
( ( ! [X2: complex] :
( ( one_one_complex = X2 )
= ( X2 = one_one_complex ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(391,plain,
( ( ! [N: nat] :
( ( compow1667379464omplex @ N @ id_complex )
= id_complex ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(392,plain,
( ( zero_zero_complex != one_one_complex )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(393,plain,
( ( ! [A: complex] :
( ( times_times_complex @ A @ one_one_complex )
= A ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(394,plain,
( ( ! [A: complex] :
( ( times_times_complex @ one_one_complex @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(395,plain,
( ( ! [G2: complex > complex] :
( ( comp_c130555887omplex @ id_complex @ G2 )
= G2 ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(396,plain,
( ( ! [F: complex > complex] :
( ( comp_c130555887omplex @ F @ id_complex )
= F ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(397,plain,
( ( ! [A: complex > complex,B: complex > complex,C: complex > complex,V: complex] :
( ( ( comp_c130555887omplex @ A @ B )
= ( comp_c130555887omplex @ id_complex @ C ) )
=> ( ( A @ ( B @ V ) )
= ( C @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(398,plain,
( ( ! [A: complex] :
( ( times_times_complex @ A @ one_one_complex )
= A ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(399,plain,
( ( ! [A: complex] :
( ( times_times_complex @ one_one_complex @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(400,plain,
( ( ! [T: complex > complex] :
( ( comp_c130555887omplex @ id_complex @ T )
= T ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(401,plain,
( ( ! [X2: complex] :
( ( times_times_complex @ one_one_complex @ X2 )
= X2 ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(402,plain,
( ( ! [S2: set_complex] : ( comple372758642hic_on @ id_complex @ S2 ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(403,plain,
( ( ! [F: complex > complex,G2: complex > complex,X2: complex] :
( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
=> ( ( F @ ( G2 @ X2 ) )
= X2 ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(404,plain,
( ( ! [F: complex > complex,G2: complex > complex] :
( ( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
& ( ( comp_c130555887omplex @ G2 @ F )
= id_complex ) )
= ( ! [X: complex] :
( ( F @ ( G2 @ X ) )
= X )
& ! [X: complex] :
( ( G2 @ ( F @ X ) )
= X ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(405,plain,
( ( ! [F: complex > complex,G2: complex > complex,H: complex > complex] :
( ( ( comp_c130555887omplex @ F @ G2 )
= id_complex )
=> ( ( ( comp_c130555887omplex @ G2 @ H )
= id_complex )
=> ( F = H ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(406,plain,
( ( ! [Sup: set_complex > complex,A2: set_complex] :
( ( Sup @ ( image_58037603omplex @ id_complex @ A2 ) )
= ( Sup @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(407,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(408,plain,
( ( ( deriv_complex @ id_complex @ w )
!= one_one_complex )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(409,plain,
( ( ! [SX0: complex > complex,SX1: complex > complex,SX2: complex > complex,SX3: complex] :
( ( ( comp_c130555887omplex @ SX0 @ SX1 )
!= ( comp_c130555887omplex @ id_complex @ SX2 ) )
| ( ( SX0 @ ( SX1 @ SX3 ) )
= ( SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(410,plain,
( ( ! [SX0: complex > complex,SX1: complex > complex,SX2: complex > complex] :
( ( ( comp_c130555887omplex @ SX0 @ SX1 )
!= id_complex )
| ( ( comp_c130555887omplex @ SX1 @ SX2 )
!= id_complex )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(411,plain,
( ( ! [SX0: complex > complex,SX1: complex > complex] :
( ( ~ ( ( ( comp_c130555887omplex @ SX0 @ SX1 )
!= id_complex )
| ( ( comp_c130555887omplex @ SX1 @ SX0 )
!= id_complex ) ) )
= ( ~ ( ~ ! [SX2: complex] :
( ( SX0 @ ( SX1 @ SX2 ) )
= SX2 )
| ~ ! [SX2: complex] :
( ( SX1 @ ( SX0 @ SX2 ) )
= SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(412,plain,
( ( zero_zero_complex != one_one_complex )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(413,plain,
( ( ! [SX0: complex > complex,SX1: complex > complex,SX2: complex] :
( ( ( comp_c130555887omplex @ SX0 @ SX1 )
!= id_complex )
| ( ( SX0 @ ( SX1 @ SX2 ) )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(414,plain,
( ( ! [SV1: complex] :
( ( deriv_complex @ id_complex @ SV1 )
= one_one_complex ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[386]) ).
thf(415,plain,
( ( ( deriv_complex @ id_complex )
= ( ^ [Z2: complex] : one_one_complex ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[386]) ).
thf(416,plain,
( ( ! [SV2: complex] :
( ( id_complex @ SV2 )
= SV2 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[387]) ).
thf(417,plain,
( ( id_complex
= ( ^ [X: complex] : X ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[387]) ).
thf(418,plain,
( ( ! [SV3: complex] :
( ( id_complex @ SV3 )
= SV3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[388]) ).
thf(419,plain,
( ( id_complex
= ( ^ [X: complex] : X ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[388]) ).
thf(420,plain,
! [SV4: complex > complex] :
( ( ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= ( SV4 = id_complex ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(421,plain,
! [SV5: complex] :
( ( ( one_one_complex = SV5 )
= ( SV5 = one_one_complex ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(422,plain,
! [SV6: nat] :
( ( ( compow1667379464omplex @ SV6 @ id_complex )
= id_complex )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(423,plain,
! [SV7: complex] :
( ( ( times_times_complex @ SV7 @ one_one_complex )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(424,plain,
! [SV8: complex] :
( ( ( times_times_complex @ one_one_complex @ SV8 )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(425,plain,
! [SV9: complex > complex] :
( ( ( comp_c130555887omplex @ id_complex @ SV9 )
= SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(426,plain,
! [SV10: complex > complex] :
( ( ( comp_c130555887omplex @ SV10 @ id_complex )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(427,plain,
! [SV11: complex] :
( ( ( times_times_complex @ SV11 @ one_one_complex )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(428,plain,
! [SV12: complex] :
( ( ( times_times_complex @ one_one_complex @ SV12 )
= SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(429,plain,
! [SV13: complex > complex] :
( ( ( comp_c130555887omplex @ id_complex @ SV13 )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(430,plain,
! [SV14: complex] :
( ( ( times_times_complex @ one_one_complex @ SV14 )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(431,plain,
! [SV15: set_complex] :
( ( comple372758642hic_on @ id_complex @ SV15 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(432,plain,
! [SV16: set_complex > complex] :
( ( ! [SY34: set_complex] :
( ( SV16 @ ( image_58037603omplex @ id_complex @ SY34 ) )
= ( SV16 @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(433,plain,
! [SV17: $o] :
( ( ( SV17 = $true )
| ( SV17 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[407]) ).
thf(434,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[407]) ).
thf(435,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[407]) ).
thf(436,plain,
( ( ( deriv_complex @ id_complex @ w )
= one_one_complex )
= $false ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(437,plain,
! [SV18: complex > complex] :
( ( ! [SY35: complex > complex,SY36: complex > complex,SY37: complex] :
( ( ( comp_c130555887omplex @ SV18 @ SY35 )
!= ( comp_c130555887omplex @ id_complex @ SY36 ) )
| ( ( SV18 @ ( SY35 @ SY37 ) )
= ( SY36 @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(438,plain,
! [SV19: complex > complex] :
( ( ! [SY38: complex > complex,SY39: complex > complex] :
( ( ( comp_c130555887omplex @ SV19 @ SY38 )
!= id_complex )
| ( ( comp_c130555887omplex @ SY38 @ SY39 )
!= id_complex )
| ( SV19 = SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(439,plain,
! [SV20: complex > complex] :
( ( ! [SY40: complex > complex] :
( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SY40 )
!= id_complex )
| ( ( comp_c130555887omplex @ SY40 @ SV20 )
!= id_complex ) ) )
= ( ~ ( ~ ! [SY41: complex] :
( ( SV20 @ ( SY40 @ SY41 ) )
= SY41 )
| ~ ! [SY42: complex] :
( ( SY40 @ ( SV20 @ SY42 ) )
= SY42 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(440,plain,
( ( zero_zero_complex = one_one_complex )
= $false ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(441,plain,
! [SV21: complex > complex] :
( ( ! [SY43: complex > complex,SY44: complex] :
( ( ( comp_c130555887omplex @ SV21 @ SY43 )
!= id_complex )
| ( ( SV21 @ ( SY43 @ SY44 ) )
= SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(442,plain,
! [SV22: complex] :
( ( ( deriv_complex @ id_complex @ SV22 )
= one_one_complex )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(443,plain,
! [SV23: complex] :
( ( ( id_complex @ SV23 )
= SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(444,plain,
! [SV24: complex] :
( ( ( id_complex @ SV24 )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(445,plain,
! [SV4: complex > complex] :
( ( ~ ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 = id_complex ) )
| ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[420]) ).
thf(446,plain,
! [SV4: complex > complex] :
( ( ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= ( SV4 = id_complex ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[420]) ).
thf(447,plain,
! [SV5: complex] :
( ( ~ ( ( one_one_complex = SV5 )
| ( SV5 = one_one_complex ) )
| ~ ( ( one_one_complex != SV5 )
| ( SV5 != one_one_complex ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[421]) ).
thf(448,plain,
! [SV5: complex] :
( ( ( one_one_complex = SV5 )
= ( SV5 = one_one_complex ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[421]) ).
thf(449,plain,
! [SV6: nat] :
( ( ! [SV25: complex] :
( ( compow1667379464omplex @ SV6 @ id_complex @ SV25 )
= ( id_complex @ SV25 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[422]) ).
thf(450,plain,
! [SV6: nat] :
( ( ( compow1667379464omplex @ SV6 @ id_complex )
= id_complex )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[422]) ).
thf(451,plain,
! [SV9: complex > complex] :
( ( ! [SV26: complex] :
( ( comp_c130555887omplex @ id_complex @ SV9 @ SV26 )
= ( SV9 @ SV26 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[425]) ).
thf(452,plain,
! [SV9: complex > complex] :
( ( ( comp_c130555887omplex @ id_complex @ SV9 )
= SV9 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[425]) ).
thf(453,plain,
! [SV10: complex > complex] :
( ( ! [SV27: complex] :
( ( comp_c130555887omplex @ SV10 @ id_complex @ SV27 )
= ( SV10 @ SV27 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[426]) ).
thf(454,plain,
! [SV10: complex > complex] :
( ( ( comp_c130555887omplex @ SV10 @ id_complex )
= SV10 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[426]) ).
thf(455,plain,
! [SV13: complex > complex] :
( ( ! [SV28: complex] :
( ( comp_c130555887omplex @ id_complex @ SV13 @ SV28 )
= ( SV13 @ SV28 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[429]) ).
thf(456,plain,
! [SV13: complex > complex] :
( ( ( comp_c130555887omplex @ id_complex @ SV13 )
= SV13 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[429]) ).
thf(457,plain,
! [SV29: set_complex,SV16: set_complex > complex] :
( ( ( SV16 @ ( image_58037603omplex @ id_complex @ SV29 ) )
= ( SV16 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(458,plain,
! [SV17: $o] :
( ( ( SV17 = $true )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(459,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(460,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(461,plain,
! [SV30: complex > complex,SV18: complex > complex] :
( ( ! [SY45: complex > complex,SY46: complex] :
( ( ( comp_c130555887omplex @ SV18 @ SV30 )
!= ( comp_c130555887omplex @ id_complex @ SY45 ) )
| ( ( SV18 @ ( SV30 @ SY46 ) )
= ( SY45 @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(462,plain,
! [SV31: complex > complex,SV19: complex > complex] :
( ( ! [SY47: complex > complex] :
( ( ( comp_c130555887omplex @ SV19 @ SV31 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV31 @ SY47 )
!= id_complex )
| ( SV19 = SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(463,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= ( ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(464,plain,
! [SV33: complex > complex,SV21: complex > complex] :
( ( ! [SY50: complex] :
( ( ( comp_c130555887omplex @ SV21 @ SV33 )
!= id_complex )
| ( ( SV21 @ ( SV33 @ SY50 ) )
= SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(465,plain,
! [SV4: complex > complex] :
( ( ( ~ ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 = id_complex ) ) )
= $true )
| ( ( ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(466,plain,
! [SV5: complex] :
( ( ( ~ ( ( one_one_complex = SV5 )
| ( SV5 = one_one_complex ) ) )
= $true )
| ( ( ~ ( ( one_one_complex != SV5 )
| ( SV5 != one_one_complex ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(467,plain,
! [SV34: complex,SV6: nat] :
( ( ( compow1667379464omplex @ SV6 @ id_complex @ SV34 )
= ( id_complex @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(468,plain,
! [SV35: complex,SV9: complex > complex] :
( ( ( comp_c130555887omplex @ id_complex @ SV9 @ SV35 )
= ( SV9 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(469,plain,
! [SV36: complex,SV10: complex > complex] :
( ( ( comp_c130555887omplex @ SV10 @ id_complex @ SV36 )
= ( SV10 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(470,plain,
! [SV37: complex,SV13: complex > complex] :
( ( ( comp_c130555887omplex @ id_complex @ SV13 @ SV37 )
= ( SV13 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(471,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $true )
| ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[458]) ).
thf(472,plain,
! [SV17: $o] :
( ( ( SV17 = $true )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[458]) ).
thf(473,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[459]) ).
thf(474,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[459]) ).
thf(475,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[460]) ).
thf(476,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[460]) ).
thf(477,plain,
! [SV38: complex > complex,SV30: complex > complex,SV18: complex > complex] :
( ( ! [SY51: complex] :
( ( ( comp_c130555887omplex @ SV18 @ SV30 )
!= ( comp_c130555887omplex @ id_complex @ SV38 ) )
| ( ( SV18 @ ( SV30 @ SY51 ) )
= ( SV38 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(478,plain,
! [SV39: complex > complex,SV31: complex > complex,SV19: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV31 @ SV39 )
!= id_complex )
| ( SV19 = SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(479,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ~ ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
| ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[463]) ).
thf(480,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= ( ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[463]) ).
thf(481,plain,
! [SV40: complex,SV33: complex > complex,SV21: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV21 @ SV33 )
!= id_complex )
| ( ( SV21 @ ( SV33 @ SV40 ) )
= SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(482,plain,
! [SV4: complex > complex] :
( ( ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 = id_complex ) )
= $false )
| ( ( ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(483,plain,
! [SV5: complex] :
( ( ( ( one_one_complex = SV5 )
| ( SV5 = one_one_complex ) )
= $false )
| ( ( ~ ( ( one_one_complex != SV5 )
| ( SV5 != one_one_complex ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(484,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $true ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(485,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[472]) ).
thf(486,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[472]) ).
thf(487,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(488,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(489,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(490,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(491,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[476]) ).
thf(492,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[476]) ).
thf(493,plain,
! [SV41: complex,SV38: complex > complex,SV30: complex > complex,SV18: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV18 @ SV30 )
!= ( comp_c130555887omplex @ id_complex @ SV38 ) )
| ( ( SV18 @ ( SV30 @ SV41 ) )
= ( SV38 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(494,plain,
! [SV39: complex > complex,SV31: complex > complex,SV19: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
!= id_complex )
= $true )
| ( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
!= id_complex )
| ( SV19 = SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(495,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(496,plain,
! [SV40: complex,SV33: complex > complex,SV21: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV21 @ SV33 )
!= id_complex )
= $true )
| ( ( ( SV21 @ ( SV33 @ SV40 ) )
= SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(497,plain,
! [SV4: complex > complex] :
( ( ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= $false )
| ( ( ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(498,plain,
! [SV4: complex > complex] :
( ( ( SV4 = id_complex )
= $false )
| ( ( ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(499,plain,
! [SV5: complex] :
( ( ( one_one_complex = SV5 )
= $false )
| ( ( ~ ( ( one_one_complex != SV5 )
| ( SV5 != one_one_complex ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(500,plain,
! [SV5: complex] :
( ( ( SV5 = one_one_complex )
= $false )
| ( ( ~ ( ( one_one_complex != SV5 )
| ( SV5 != one_one_complex ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(501,plain,
! [SV17: $o] :
( ( ( SV17
| $true )
= $false )
| ( ( ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(502,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(503,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(504,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(505,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(506,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(507,plain,
! [SV41: complex,SV38: complex > complex,SV30: complex > complex,SV18: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV18 @ SV30 )
!= ( comp_c130555887omplex @ id_complex @ SV38 ) )
= $true )
| ( ( ( SV18 @ ( SV30 @ SV41 ) )
= ( SV38 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(508,plain,
! [SV39: complex > complex,SV31: complex > complex,SV19: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false )
| ( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
!= id_complex )
| ( SV19 = SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(509,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(510,plain,
! [SV40: complex,SV33: complex > complex,SV21: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV21 @ SV33 )
= id_complex )
= $false )
| ( ( ( SV21 @ ( SV33 @ SV40 ) )
= SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(511,plain,
! [SV4: complex > complex] :
( ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false )
| ( ( ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[497]) ).
thf(512,plain,
! [SV4: complex > complex] :
( ( ( ! [SV42: complex] :
( ( SV4 @ SV42 )
= ( id_complex @ SV42 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[498]) ).
thf(513,plain,
! [SV4: complex > complex] :
( ( ( SV4 = id_complex )
= $false )
| ( ( ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[498]) ).
thf(514,plain,
! [SV5: complex] :
( ( ( ( one_one_complex != SV5 )
| ( SV5 != one_one_complex ) )
= $false )
| ( ( one_one_complex = SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(515,plain,
! [SV5: complex] :
( ( ( ( one_one_complex != SV5 )
| ( SV5 != one_one_complex ) )
= $false )
| ( ( SV5 = one_one_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(516,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(517,plain,
! [SV17: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(518,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(519,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(520,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(521,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(522,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(523,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(524,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(525,plain,
! [SV41: complex,SV38: complex > complex,SV30: complex > complex,SV18: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV18 @ SV30 )
= ( comp_c130555887omplex @ id_complex @ SV38 ) )
= $false )
| ( ( ( SV18 @ ( SV30 @ SV41 ) )
= ( SV38 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(526,plain,
! [SV39: complex > complex,SV31: complex > complex,SV19: complex > complex] :
( ( ( ! [SV43: complex] :
( ( comp_c130555887omplex @ SV19 @ SV31 @ SV43 )
= ( id_complex @ SV43 ) ) )
= $false )
| ( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
!= id_complex )
| ( SV19 = SV39 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[508]) ).
thf(527,plain,
! [SV39: complex > complex,SV31: complex > complex,SV19: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false )
| ( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
!= id_complex )
| ( SV19 = SV39 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[508]) ).
thf(528,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(529,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(530,plain,
! [SV40: complex,SV33: complex > complex,SV21: complex > complex] :
( ( ( ! [SV44: complex] :
( ( comp_c130555887omplex @ SV21 @ SV33 @ SV44 )
= ( id_complex @ SV44 ) ) )
= $false )
| ( ( ( SV21 @ ( SV33 @ SV40 ) )
= SV40 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[510]) ).
thf(531,plain,
! [SV40: complex,SV33: complex > complex,SV21: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV21 @ SV33 )
= id_complex )
= $false )
| ( ( ( SV21 @ ( SV33 @ SV40 ) )
= SV40 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[510]) ).
thf(532,plain,
! [SV4: complex > complex] :
( ( ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) )
= $false )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(533,plain,
! [SV4: complex > complex] :
( ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[512]) ).
thf(534,plain,
! [SV4: complex > complex] :
( ( ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) )
= $false )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(535,plain,
! [SV5: complex] :
( ( ( one_one_complex != SV5 )
= $false )
| ( ( one_one_complex = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(536,plain,
! [SV5: complex] :
( ( ( SV5 != one_one_complex )
= $false )
| ( ( one_one_complex = SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(537,plain,
! [SV5: complex] :
( ( ( one_one_complex != SV5 )
= $false )
| ( ( SV5 = one_one_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(538,plain,
! [SV5: complex] :
( ( ( SV5 != one_one_complex )
= $false )
| ( ( SV5 = one_one_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(539,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $true )
= $false )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(540,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(541,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(542,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(543,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(544,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(545,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(546,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(547,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(548,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(549,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(550,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(551,plain,
! [SV41: complex,SV38: complex > complex,SV30: complex > complex,SV18: complex > complex] :
( ( ( ! [SV45: complex] :
( ( comp_c130555887omplex @ SV18 @ SV30 @ SV45 )
= ( comp_c130555887omplex @ id_complex @ SV38 @ SV45 ) ) )
= $false )
| ( ( ( SV18 @ ( SV30 @ SV41 ) )
= ( SV38 @ SV41 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[525]) ).
thf(552,plain,
! [SV41: complex,SV38: complex > complex,SV30: complex > complex,SV18: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV18 @ SV30 )
= ( comp_c130555887omplex @ id_complex @ SV38 ) )
= $false )
| ( ( ( SV18 @ ( SV30 @ SV41 ) )
= ( SV38 @ SV41 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[525]) ).
thf(553,plain,
! [SV39: complex > complex,SV31: complex > complex,SV19: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false )
| ( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
!= id_complex )
| ( SV19 = SV39 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[526]) ).
thf(554,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
!= id_complex )
= $true )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(555,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(556,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(557,plain,
! [SV40: complex,SV33: complex > complex,SV21: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV21 @ SV33 @ ( sK4_SV44 @ SV40 @ SV33 @ SV21 ) )
= ( id_complex @ ( sK4_SV44 @ SV40 @ SV33 @ SV21 ) ) )
= $false )
| ( ( ( SV21 @ ( SV33 @ SV40 ) )
= SV40 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[530]) ).
thf(558,plain,
! [SV4: complex > complex] :
( ( ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= $false )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(559,plain,
! [SV4: complex > complex] :
( ( ( SV4 != id_complex )
= $false )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(560,plain,
! [SV4: complex > complex] :
( ( ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 )
| ( SV4 != id_complex ) )
= $false )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(561,plain,
! [SV4: complex > complex] :
( ( ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= $false )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(562,plain,
! [SV4: complex > complex] :
( ( ( SV4 != id_complex )
= $false )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(563,plain,
! [SV5: complex] :
( ( ( one_one_complex = SV5 )
= $true )
| ( ( one_one_complex = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(564,plain,
! [SV5: complex] :
( ( ( SV5 = one_one_complex )
= $true )
| ( ( one_one_complex = SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(565,plain,
! [SV5: complex] :
( ( ( one_one_complex = SV5 )
= $true )
| ( ( SV5 = one_one_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(566,plain,
! [SV5: complex] :
( ( ( SV5 = one_one_complex )
= $true )
| ( ( SV5 = one_one_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(567,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(568,plain,
! [SV17: $o] :
( ( ( ~ $true ) = $false )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(569,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(570,plain,
! [SV17: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(571,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(572,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(573,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(574,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(575,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(576,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(577,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(578,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(579,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(580,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(581,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(582,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(583,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(584,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(585,plain,
! [SV38: complex > complex,SV41: complex,SV30: complex > complex,SV18: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV18 @ SV30 @ ( sK5_SV45 @ SV41 @ SV38 @ SV30 @ SV18 ) )
= ( comp_c130555887omplex @ id_complex @ SV38 @ ( sK5_SV45 @ SV41 @ SV38 @ SV30 @ SV18 ) ) )
= $false )
| ( ( ( SV18 @ ( SV30 @ SV41 ) )
= ( SV38 @ SV41 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[551]) ).
thf(586,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
!= id_complex )
= $true )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(587,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(588,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(589,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $true )
| ( ( ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(590,plain,
! [SV4: complex > complex] :
( ( ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= $true )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(591,plain,
! [SV4: complex > complex] :
( ( ( SV4 = id_complex )
= $true )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(592,plain,
! [SV4: complex > complex] :
( ( ( ~ ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= $false )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(593,plain,
! [SV4: complex > complex] :
( ( ( SV4 != id_complex )
= $false )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(594,plain,
! [SV4: complex > complex] :
( ( ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= $true )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(595,plain,
! [SV4: complex > complex] :
( ( ( SV4 = id_complex )
= $true )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(596,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(597,plain,
! [SV17: $o] :
( ( $true = $true )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(598,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(599,plain,
! [SV17: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(600,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(601,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(602,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(603,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(604,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(605,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(606,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(607,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(608,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(609,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(610,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(611,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(612,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(613,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(614,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(615,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(616,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(617,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(618,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(619,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(620,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(621,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ! [SV46: complex] :
( ( comp_c130555887omplex @ SV31 @ SV39 @ SV46 )
= ( id_complex @ SV46 ) ) )
= $false )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[587]) ).
thf(622,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[587]) ).
thf(623,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(624,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $false )
| ( ( ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(625,plain,
! [SV47: complex,SV4: complex > complex] :
( ( ( ( SV4 @ SV47 )
= SV47 )
= $true )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(626,plain,
! [SV4: complex > complex] :
( ( ( ! [SV48: complex] :
( ( SV4 @ SV48 )
= ( id_complex @ SV48 ) ) )
= $true )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(627,plain,
! [SV4: complex > complex] :
( ( ( SV4 = id_complex )
= $true )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(628,plain,
! [SV4: complex > complex] :
( ( ( ! [SY33: complex] :
( ( SV4 @ SY33 )
= SY33 ) )
= $true )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(629,plain,
! [SV4: complex > complex] :
( ( ( SV4 = id_complex )
= $true )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(630,plain,
! [SV49: complex,SV4: complex > complex] :
( ( ( ( SV4 @ SV49 )
= SV49 )
= $true )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(631,plain,
! [SV4: complex > complex] :
( ( ( ! [SV50: complex] :
( ( SV4 @ SV50 )
= ( id_complex @ SV50 ) ) )
= $true )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(632,plain,
! [SV4: complex > complex] :
( ( ( SV4 = id_complex )
= $true )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(633,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(634,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[596]) ).
thf(635,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[597]) ).
thf(636,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[597]) ).
thf(637,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[598]) ).
thf(638,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[598]) ).
thf(639,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[599]) ).
thf(640,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[599]) ).
thf(641,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(642,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(643,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(644,plain,
! [SV17: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(645,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(646,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(647,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(648,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[605]) ).
thf(649,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(650,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(651,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[607]) ).
thf(652,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[607]) ).
thf(653,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(654,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(655,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(656,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(657,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[612]) ).
thf(658,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[612]) ).
thf(659,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[613]) ).
thf(660,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[613]) ).
thf(661,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[614]) ).
thf(662,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[614]) ).
thf(663,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(664,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[615]) ).
thf(665,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(666,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(667,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(668,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(669,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ! [SV51: complex] :
( ( comp_c130555887omplex @ SV31 @ SV39 @ SV51 )
= ( id_complex @ SV51 ) ) )
= $false )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[620]) ).
thf(670,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[620]) ).
thf(671,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV31 @ SV39 @ ( sK6_SV46 @ SV19 @ SV39 @ SV31 ) )
= ( id_complex @ ( sK6_SV46 @ SV19 @ SV39 @ SV31 ) ) )
= $false )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[621]) ).
thf(672,plain,
! [SV31: complex > complex,SV39: complex > complex,SV19: complex > complex] :
( ( ( ! [SV52: complex] :
( ( SV19 @ SV52 )
= ( SV39 @ SV52 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[622]) ).
thf(673,plain,
! [SV31: complex > complex,SV39: complex > complex,SV19: complex > complex] :
( ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[622]) ).
thf(674,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SV53: complex] :
( ( comp_c130555887omplex @ SV20 @ SV32 @ SV53 )
= ( id_complex @ SV53 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[623]) ).
thf(675,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[623]) ).
thf(676,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[624]) ).
thf(677,plain,
! [SV54: complex,SV4: complex > complex] :
( ( ( ( SV4 @ SV54 )
= ( id_complex @ SV54 ) )
= $true )
| ( ( ( SV4 @ ( sK1_SY33 @ SV4 ) )
= ( sK1_SY33 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(678,plain,
! [SV55: complex,SV4: complex > complex] :
( ( ( ( SV4 @ SV55 )
= SV55 )
= $true )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(679,plain,
! [SV4: complex > complex] :
( ( ( ! [SV56: complex] :
( ( SV4 @ SV56 )
= ( id_complex @ SV56 ) ) )
= $true )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[629]) ).
thf(680,plain,
! [SV4: complex > complex] :
( ( ( SV4 = id_complex )
= $true )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[629]) ).
thf(681,plain,
! [SV57: complex,SV4: complex > complex] :
( ( ( ( SV4 @ SV57 )
= ( id_complex @ SV57 ) )
= $true )
| ( ( SV4 = id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(682,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(683,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(684,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(685,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(686,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(687,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(688,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(689,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(690,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(691,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(692,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(693,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(694,plain,
! [SV19: complex > complex,SV39: complex > complex,SV31: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV31 @ SV39 @ ( sK8_SV51 @ SV19 @ SV39 @ SV31 ) )
= ( id_complex @ ( sK8_SV51 @ SV19 @ SV39 @ SV31 ) ) )
= $false )
| ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[669]) ).
thf(695,plain,
! [SV31: complex > complex,SV39: complex > complex,SV19: complex > complex] :
( ( ( ! [SV58: complex] :
( ( SV19 @ SV58 )
= ( SV39 @ SV58 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[670]) ).
thf(696,plain,
! [SV31: complex > complex,SV39: complex > complex,SV19: complex > complex] :
( ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[670]) ).
thf(697,plain,
! [SV31: complex > complex,SV39: complex > complex,SV19: complex > complex] :
( ( ( ! [SV59: complex] :
( ( SV19 @ SV59 )
= ( SV39 @ SV59 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 @ ( sK6_SV46 @ SV19 @ SV39 @ SV31 ) )
= ( id_complex @ ( sK6_SV46 @ SV19 @ SV39 @ SV31 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[671]) ).
thf(698,plain,
! [SV31: complex > complex,SV39: complex > complex,SV19: complex > complex] :
( ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 @ ( sK6_SV46 @ SV19 @ SV39 @ SV31 ) )
= ( id_complex @ ( sK6_SV46 @ SV19 @ SV39 @ SV31 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[671]) ).
thf(699,plain,
! [SV31: complex > complex,SV39: complex > complex,SV60: complex,SV19: complex > complex] :
( ( ( ( SV19 @ SV60 )
= ( SV39 @ SV60 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(700,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $true )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[674]) ).
thf(701,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(702,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(703,plain,
! [SV61: complex,SV4: complex > complex] :
( ( ( ( SV4 @ SV61 )
= ( id_complex @ SV61 ) )
= $true )
| ( ( ( SV4 @ ( sK2_SV42 @ SV4 ) )
= ( id_complex @ ( sK2_SV42 @ SV4 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(704,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(705,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(706,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(707,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(708,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(709,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(710,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(711,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(712,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(713,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(714,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(715,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(716,plain,
! [SV31: complex > complex,SV39: complex > complex,SV19: complex > complex] :
( ( ( ! [SV62: complex] :
( ( SV19 @ SV62 )
= ( SV39 @ SV62 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 @ ( sK8_SV51 @ SV19 @ SV39 @ SV31 ) )
= ( id_complex @ ( sK8_SV51 @ SV19 @ SV39 @ SV31 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(717,plain,
! [SV31: complex > complex,SV39: complex > complex,SV19: complex > complex] :
( ( ( SV19 = SV39 )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 @ ( sK8_SV51 @ SV19 @ SV39 @ SV31 ) )
= ( id_complex @ ( sK8_SV51 @ SV19 @ SV39 @ SV31 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(718,plain,
! [SV31: complex > complex,SV39: complex > complex,SV63: complex,SV19: complex > complex] :
( ( ( ( SV19 @ SV63 )
= ( SV39 @ SV63 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(719,plain,
! [SV31: complex > complex,SV39: complex > complex,SV64: complex,SV19: complex > complex] :
( ( ( ( SV19 @ SV64 )
= ( SV39 @ SV64 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 @ ( sK6_SV46 @ SV19 @ SV39 @ SV31 ) )
= ( id_complex @ ( sK6_SV46 @ SV19 @ SV39 @ SV31 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(720,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(721,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SV65: complex] :
( ( comp_c130555887omplex @ SV32 @ SV20 @ SV65 )
= ( id_complex @ SV65 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[701]) ).
thf(722,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[701]) ).
thf(723,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[702]) ).
thf(724,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(725,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(726,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(727,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(728,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(729,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(730,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(731,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(732,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(733,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(734,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(735,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(736,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(737,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(738,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(739,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(740,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(741,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(742,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(743,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(744,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(745,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(746,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(747,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(748,plain,
! [SV31: complex > complex,SV39: complex > complex,SV66: complex,SV19: complex > complex] :
( ( ( ( SV19 @ SV66 )
= ( SV39 @ SV66 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV31 @ SV39 @ ( sK8_SV51 @ SV19 @ SV39 @ SV31 ) )
= ( id_complex @ ( sK8_SV51 @ SV19 @ SV39 @ SV31 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV19 @ SV31 @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) )
= ( id_complex @ ( sK3_SV43 @ SV39 @ SV31 @ SV19 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(749,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SV67: complex] :
( ( comp_c130555887omplex @ SV32 @ SV20 @ SV67 )
= ( id_complex @ SV67 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[720]) ).
thf(750,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[720]) ).
thf(751,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[721]) ).
thf(752,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(753,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(754,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(755,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(756,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(757,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(758,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(759,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(760,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(761,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(762,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(763,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(764,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(765,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(766,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(767,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(768,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(769,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(770,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(771,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(772,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(773,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(774,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(775,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(776,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(777,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(778,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[749]) ).
thf(779,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(780,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(781,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(782,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(783,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(784,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(785,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(786,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(787,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(788,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(789,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(790,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(791,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(792,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(793,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(794,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(795,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(796,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(797,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(798,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(799,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(800,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(801,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(802,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(803,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(804,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(805,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(806,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(807,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(808,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(809,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(810,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(811,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(812,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(813,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(814,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(815,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(816,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(817,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(818,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(819,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(820,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(821,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(822,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(823,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(824,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(825,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(826,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(827,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(828,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(829,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(830,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(831,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(832,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(833,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
| ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(834,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(835,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(836,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(837,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(838,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(839,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(840,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(841,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(842,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(843,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(844,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(845,plain,
! [SV17: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(846,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(847,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(848,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(849,plain,
! [SV17: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(850,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(851,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(852,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(853,plain,
! [SV17: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(854,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(855,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(856,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(857,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(858,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(859,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(860,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(861,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(862,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(863,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(864,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(865,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(866,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(867,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(868,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(869,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(870,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(871,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(872,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(873,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(874,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(875,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(876,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(877,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(878,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(879,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(880,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(881,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[824]) ).
thf(882,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(883,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(884,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(885,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(886,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(887,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[830]) ).
thf(888,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(889,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(890,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(891,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(892,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(893,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(894,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(895,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(896,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(897,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(898,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(899,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(900,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(901,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[891]) ).
thf(902,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(903,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(904,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(905,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(906,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(907,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(908,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(909,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(910,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(911,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(912,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(913,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(914,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
| ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(915,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 )
| ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(916,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(917,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(918,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(919,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(920,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(921,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(922,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(923,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(924,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(925,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(926,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(927,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(928,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[910]) ).
thf(929,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[911]) ).
thf(930,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(931,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[913]) ).
thf(932,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
!= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(933,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
!= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(934,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ~ ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[915]) ).
thf(935,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ~ ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[915]) ).
thf(936,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(937,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(938,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(939,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(940,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(941,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(942,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(943,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(944,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SV68: complex] :
( ( comp_c130555887omplex @ SV20 @ SV32 @ SV68 )
= ( id_complex @ SV68 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[924]) ).
thf(945,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[924]) ).
thf(946,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SV69: complex] :
( ( comp_c130555887omplex @ SV32 @ SV20 @ SV69 )
= ( id_complex @ SV69 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(947,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(948,plain,
! [SV70: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( SV20 @ ( SV32 @ SV70 ) )
= SV70 )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(949,plain,
! [SV71: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( SV32 @ ( SV20 @ SV71 ) )
= SV71 )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(950,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SV72: complex] :
( ( comp_c130555887omplex @ SV20 @ SV32 @ SV72 )
= ( id_complex @ SV72 ) ) )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[928]) ).
thf(951,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[928]) ).
thf(952,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SV73: complex] :
( ( comp_c130555887omplex @ SV32 @ SV20 @ SV73 )
= ( id_complex @ SV73 ) ) )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[929]) ).
thf(953,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[929]) ).
thf(954,plain,
! [SV74: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( SV20 @ ( SV32 @ SV74 ) )
= SV74 )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(955,plain,
! [SV75: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( SV32 @ ( SV20 @ SV75 ) )
= SV75 )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(956,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(957,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(958,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SY48: complex] :
( ( SV20 @ ( SV32 @ SY48 ) )
= SY48 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(959,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SY49: complex] :
( ( SV32 @ ( SV20 @ SY49 ) )
= SY49 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(960,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SV76: complex] :
( ( comp_c130555887omplex @ SV20 @ SV32 @ SV76 )
= ( id_complex @ SV76 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[936]) ).
thf(961,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[936]) ).
thf(962,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SV77: complex] :
( ( comp_c130555887omplex @ SV32 @ SV20 @ SV77 )
= ( id_complex @ SV77 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(963,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(964,plain,
! [SV78: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( SV20 @ ( SV32 @ SV78 ) )
= SV78 )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(965,plain,
! [SV79: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( SV32 @ ( SV20 @ SV79 ) )
= SV79 )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(966,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SV80: complex] :
( ( comp_c130555887omplex @ SV20 @ SV32 @ SV80 )
= ( id_complex @ SV80 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[940]) ).
thf(967,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[940]) ).
thf(968,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SV81: complex] :
( ( comp_c130555887omplex @ SV32 @ SV20 @ SV81 )
= ( id_complex @ SV81 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[941]) ).
thf(969,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[941]) ).
thf(970,plain,
! [SV82: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( SV20 @ ( SV32 @ SV82 ) )
= SV82 )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(971,plain,
! [SV83: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( SV32 @ ( SV20 @ SV83 ) )
= SV83 )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(972,plain,
! [SV84: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ SV84 )
= ( id_complex @ SV84 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(973,plain,
! [SV85: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ SV85 )
= ( id_complex @ SV85 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(974,plain,
! [SV86: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ SV86 )
= ( id_complex @ SV86 ) )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(975,plain,
! [SV87: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ SV87 )
= ( id_complex @ SV87 ) )
= $true )
| ( ( ( SV20 @ ( SV32 @ ( sK7_SY48 @ SV32 @ SV20 ) ) )
= ( sK7_SY48 @ SV32 @ SV20 ) )
= $false )
| ( ( ( SV32 @ ( SV20 @ ( sK10_SY49 @ SV20 @ SV32 ) ) )
= ( sK10_SY49 @ SV20 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(976,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ! [SV88: complex] :
( ( comp_c130555887omplex @ SV20 @ SV32 @ SV88 )
= ( id_complex @ SV88 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(977,plain,
! [SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(978,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ! [SV89: complex] :
( ( comp_c130555887omplex @ SV32 @ SV20 @ SV89 )
= ( id_complex @ SV89 ) ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[957]) ).
thf(979,plain,
! [SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[957]) ).
thf(980,plain,
! [SV90: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( SV20 @ ( SV32 @ SV90 ) )
= SV90 )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(981,plain,
! [SV91: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( SV32 @ ( SV20 @ SV91 ) )
= SV91 )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(982,plain,
! [SV92: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ SV92 )
= ( id_complex @ SV92 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(983,plain,
! [SV93: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ SV93 )
= ( id_complex @ SV93 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 )
= id_complex )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(984,plain,
! [SV94: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ SV94 )
= ( id_complex @ SV94 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(985,plain,
! [SV95: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ SV95 )
= ( id_complex @ SV95 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 )
= id_complex )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK11_SV65 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK11_SV65 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(986,plain,
! [SV96: complex,SV32: complex > complex,SV20: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ SV96 )
= ( id_complex @ SV96 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(987,plain,
! [SV97: complex,SV20: complex > complex,SV32: complex > complex] :
( ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ SV97 )
= ( id_complex @ SV97 ) )
= $true )
| ( ( ( comp_c130555887omplex @ SV20 @ SV32 @ ( sK9_SV53 @ SV32 @ SV20 ) )
= ( id_complex @ ( sK9_SV53 @ SV32 @ SV20 ) ) )
= $false )
| ( ( ( comp_c130555887omplex @ SV32 @ SV20 @ ( sK12_SV67 @ SV20 @ SV32 ) )
= ( id_complex @ ( sK12_SV67 @ SV20 @ SV32 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(988,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[415,987,986,985,984,983,982,981,980,979,977,975,974,973,972,971,970,969,967,965,964,963,961,955,954,953,951,949,948,947,945,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,748,719,718,717,703,699,698,696,681,680,678,677,673,668,667,666,665,664,662,660,658,656,655,654,653,652,650,648,646,644,643,642,641,640,638,636,634,632,630,627,625,585,566,565,564,563,557,552,531,492,489,486,480,470,469,468,467,457,456,454,452,450,448,446,444,443,442,440,436,431,430,428,427,424,423,419,417]) ).
thf(989,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[988]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP035^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n007.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 11:12:45 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.63/1.15 ..
% 4.63/1.15
% 4.63/1.15 No.of.Axioms: 22
% 4.63/1.15
% 4.63/1.15 Length.of.Defs: 0
% 4.63/1.15
% 4.63/1.15 Contains.Choice.Funs: false
% 4.63/1.15 ............
% 4.63/1.15
% 4.63/1.15 ********************************
% 4.63/1.15 * All subproblems solved! *
% 4.63/1.15 ********************************
% 4.63/1.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:22,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:988,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.63/1.15
% 4.63/1.15 %**** Beginning of derivation protocol ****
% 4.63/1.15 % SZS output start CNFRefutation
% See solution above
% 4.63/1.16
% 4.63/1.16 %**** End of derivation protocol ****
% 4.63/1.16 %**** no. of clauses in derivation: 652 ****
% 4.63/1.16 %**** clause counter: 988 ****
% 4.63/1.16
% 4.63/1.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:22,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:988,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------