TSTP Solution File: BOO109+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : BOO109+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:43:43 EDT 2022
% Result : Timeout 286.87s 287.20s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 134 ( 31 unt; 4 typ; 0 def)
% Number of atoms : 1118 ( 382 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 5324 ( 17 ~; 220 |; 2 &;5083 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 732 ( 0 ^ 732 !; 0 ?; 732 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_nand,type,
nand: $i > $i > $i ).
thf(tp_p,type,
p: $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY57,type,
sK2_SY57: $i ).
thf(1,axiom,
! [P: $i,Q: $i,R: $i] :
( ( ( p @ ( nand @ P @ ( nand @ Q @ R ) ) )
& ( p @ P ) )
=> ( p @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens_for_nand) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( p @ ( nand @ ( nand @ A @ ( nand @ B @ C ) ) @ ( nand @ ( nand @ ( nand @ D @ C ) @ ( nand @ ( nand @ A @ D ) @ ( nand @ A @ D ) ) ) @ ( nand @ A @ ( nand @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsbergs_axiom) ).
thf(3,conjecture,
! [A: $i,B: $i] : ( p @ ( nand @ ( nand @ A @ ( nand @ B @ B ) ) @ ( nand @ ( nand @ ( nand @ B @ B ) @ ( nand @ ( nand @ A @ A ) @ ( nand @ A @ A ) ) ) @ ( nand @ ( nand @ B @ B ) @ ( nand @ ( nand @ A @ A ) @ ( nand @ A @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
thf(4,negated_conjecture,
( ( ! [A: $i,B: $i] : ( p @ ( nand @ ( nand @ A @ ( nand @ B @ B ) ) @ ( nand @ ( nand @ ( nand @ B @ B ) @ ( nand @ ( nand @ A @ A ) @ ( nand @ A @ A ) ) ) @ ( nand @ ( nand @ B @ B ) @ ( nand @ ( nand @ A @ A ) @ ( nand @ A @ A ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ! [A: $i,B: $i] : ( p @ ( nand @ ( nand @ A @ ( nand @ B @ B ) ) @ ( nand @ ( nand @ ( nand @ B @ B ) @ ( nand @ ( nand @ A @ A ) @ ( nand @ A @ A ) ) ) @ ( nand @ ( nand @ B @ B ) @ ( nand @ ( nand @ A @ A ) @ ( nand @ A @ A ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( ( p @ ( nand @ P @ ( nand @ Q @ R ) ) )
& ( p @ P ) )
=> ( p @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] : ( p @ ( nand @ ( nand @ A @ ( nand @ B @ C ) ) @ ( nand @ ( nand @ ( nand @ D @ C ) @ ( nand @ ( nand @ A @ D ) @ ( nand @ A @ D ) ) ) @ ( nand @ A @ ( nand @ A @ B ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( ! [SY57: $i] : ( p @ ( nand @ ( nand @ sK1_A @ ( nand @ SY57 @ SY57 ) ) @ ( nand @ ( nand @ ( nand @ SY57 @ SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ SY57 @ SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(9,plain,
( ( p @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ~ ( p @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ~ ( p @ ( nand @ P @ ( nand @ Q @ R ) ) )
| ~ ( p @ P )
| ( p @ R ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(12,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] : ( p @ ( nand @ ( nand @ A @ ( nand @ B @ C ) ) @ ( nand @ ( nand @ ( nand @ D @ C ) @ ( nand @ ( nand @ A @ D ) @ ( nand @ A @ D ) ) ) @ ( nand @ A @ ( nand @ A @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ~ ( p @ ( nand @ P @ ( nand @ Q @ R ) ) )
| ~ ( p @ P )
| ( p @ R ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( p @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
! [SV1: $i] :
( ( ! [SY58: $i,SY59: $i,SY60: $i] : ( p @ ( nand @ ( nand @ SV1 @ ( nand @ SY58 @ SY59 ) ) @ ( nand @ ( nand @ ( nand @ SY60 @ SY59 ) @ ( nand @ ( nand @ SV1 @ SY60 ) @ ( nand @ SV1 @ SY60 ) ) ) @ ( nand @ SV1 @ ( nand @ SV1 @ SY58 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV2: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ~ ( p @ ( nand @ SV2 @ ( nand @ SY61 @ SY62 ) ) )
| ~ ( p @ SV2 )
| ( p @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( p @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY63: $i,SY64: $i] : ( p @ ( nand @ ( nand @ SV1 @ ( nand @ SV3 @ SY63 ) ) @ ( nand @ ( nand @ ( nand @ SY64 @ SY63 ) @ ( nand @ ( nand @ SV1 @ SY64 ) @ ( nand @ SV1 @ SY64 ) ) ) @ ( nand @ SV1 @ ( nand @ SV1 @ SV3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV4: $i,SV2: $i] :
( ( ! [SY65: $i] :
( ~ ( p @ ( nand @ SV2 @ ( nand @ SV4 @ SY65 ) ) )
| ~ ( p @ SV2 )
| ( p @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ! [SY66: $i] : ( p @ ( nand @ ( nand @ SV1 @ ( nand @ SV3 @ SV5 ) ) @ ( nand @ ( nand @ ( nand @ SY66 @ SV5 ) @ ( nand @ ( nand @ SV1 @ SY66 ) @ ( nand @ SV1 @ SY66 ) ) ) @ ( nand @ SV1 @ ( nand @ SV1 @ SV3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV6: $i,SV4: $i,SV2: $i] :
( ( ~ ( p @ ( nand @ SV2 @ ( nand @ SV4 @ SV6 ) ) )
| ~ ( p @ SV2 )
| ( p @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV7: $i,SV5: $i,SV3: $i,SV1: $i] :
( ( p @ ( nand @ ( nand @ SV1 @ ( nand @ SV3 @ SV5 ) ) @ ( nand @ ( nand @ ( nand @ SV7 @ SV5 ) @ ( nand @ ( nand @ SV1 @ SV7 ) @ ( nand @ SV1 @ SV7 ) ) ) @ ( nand @ SV1 @ ( nand @ SV1 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV6: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( p @ ( nand @ SV2 @ ( nand @ SV4 @ SV6 ) ) )
| ~ ( p @ SV2 ) )
= $true )
| ( ( p @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(24,plain,
! [SV6: $i,SV4: $i,SV2: $i] :
( ( ( ~ ( p @ ( nand @ SV2 @ ( nand @ SV4 @ SV6 ) ) ) )
= $true )
| ( ( ~ ( p @ SV2 ) )
= $true )
| ( ( p @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(25,plain,
! [SV6: $i,SV4: $i,SV2: $i] :
( ( ( p @ ( nand @ SV2 @ ( nand @ SV4 @ SV6 ) ) )
= $false )
| ( ( ~ ( p @ SV2 ) )
= $true )
| ( ( p @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(26,plain,
! [SV6: $i,SV4: $i,SV2: $i] :
( ( ( p @ SV2 )
= $false )
| ( ( p @ ( nand @ SV2 @ ( nand @ SV4 @ SV6 ) ) )
= $false )
| ( ( p @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(27,plain,
! [SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) )
= $true ),
inference(rename,[status(thm)],[22]) ).
thf(29,plain,
! [SV12: $i,SV13: $i,SV14: $i] :
( ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ SV12 )
= $true ) ),
inference(rename,[status(thm)],[26]) ).
thf(34,plain,
! [SV12: $i,SV13: $i,SV14: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV12 )
= $true ) ),
inference(res,[status(thm)],[29,27]) ).
thf(35,plain,
! [SV12: $i,SV13: $i,SV14: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ SV14 )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ SV12 )
= $true ) ),
inference(res,[status(thm)],[29,27]) ).
thf(36,plain,
! [SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ SV12 )
= ( p @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[29,17]) ).
thf(37,plain,
! [SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[36:[bind(SV12,$thf( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ))]]) ).
thf(38,plain,
! [SV13: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( p @ SV12 )
= $true )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[35:[bind(SV14,$thf( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ))]]) ).
thf(39,plain,
! [SV9: $i,SV10: $i,SV11: $i] :
( ( ( p @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) )
= $true )
| ( ( p @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[34:[bind(SV12,$thf( nand @ SV11 @ ( nand @ SV11 @ SV10 ) )),bind(SV13,$thf( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) )),bind(SV14,$thf( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ))]]) ).
thf(42,plain,
! [SV15: $i,SV16: $i] :
( ( ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV16 )
= $false ) ),
inference(rename,[status(thm)],[37]) ).
thf(43,plain,
! [SV15: $i,SV16: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ SV16 )
= ( p @ SV12 ) )
= $false )
| ( ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[42,29]) ).
thf(44,plain,
! [SV15: $i,SV16: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= ( p @ SV12 ) )
= $false )
| ( ( p @ SV16 )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[42,29]) ).
thf(45,plain,
! [SV15: $i,SV16: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ SV16 )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ) ),
inference(res,[status(thm)],[42,27]) ).
thf(48,plain,
! [SV15: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( p @ ( nand @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[45:[bind(SV16,$thf( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ))]]) ).
thf(49,plain,
! [SV15: $i,SV16: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV16 )
= $false ) ),
inference(extuni,[status(esa)],[44:[bind(SV12,$thf( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ))]]) ).
thf(50,plain,
! [SV15: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV12 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[43:[bind(SV16,$thf( SV12 ))]]) ).
thf(51,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( p @ SV22 )
= $true )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(rename,[status(thm)],[38]) ).
thf(54,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i,SV15: $i,SV16: $i] :
( ( ( ( p @ SV22 )
= ( p @ SV16 ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false )
| ( ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ) ),
inference(res,[status(thm)],[51,42]) ).
thf(55,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i,SV15: $i,SV16: $i] :
( ( ( ( p @ SV22 )
= ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false )
| ( ( p @ SV16 )
= $false ) ),
inference(res,[status(thm)],[51,42]) ).
thf(56,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= ( p @ SV12 ) )
= $false )
| ( ( p @ SV22 )
= $true )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[51,29]) ).
thf(57,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ SV22 )
= ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV12 )
= $true ) ),
inference(res,[status(thm)],[51,29]) ).
thf(58,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ SV22 )
= ( p @ SV14 ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ SV12 )
= $true ) ),
inference(res,[status(thm)],[51,29]) ).
thf(59,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ SV22 )
= $true ) ),
inference(res,[status(thm)],[51,27]) ).
thf(60,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ SV22 )
= ( p @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[51,17]) ).
thf(61,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[60:[bind(SV22,$thf( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ))]]) ).
thf(62,plain,
! [SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( p @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) ) ) )
= $true ),
inference(extuni,[status(esa)],[59:[bind(SV22,$thf( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) ) )),bind(SV17,$thf( nand @ ( nand @ SV8 @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ SV8 ) @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ SV8 ) ) )),bind(SV9,$thf( nand @ SV21 @ ( nand @ SV21 @ SV20 ) )),bind(SV10,$thf( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) )),bind(SV11,$thf( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ))]]) ).
thf(63,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV13: $i,SV14: $i,SV12: $i] :
( ( ( p @ SV12 )
= $true )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[58:[bind(SV22,$thf( SV14 ))]]) ).
thf(64,plain,
! [SV13: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV14: $i,SV12: $i] :
( ( ( p @ SV12 )
= $true )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[57:[bind(SV22,$thf( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ))]]) ).
thf(65,plain,
! [SV22: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV22 )
= $true ) ),
inference(extuni,[status(esa)],[56:[bind(SV12,$thf( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ))]]) ).
thf(66,plain,
! [SV15: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV16: $i] :
( ( ( p @ SV16 )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[55:[bind(SV22,$thf( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ))]]) ).
thf(67,plain,
! [SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV15: $i,SV16: $i] :
( ( ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV16 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[54:[bind(SV22,$thf( SV16 ))]]) ).
thf(68,plain,
! [SV23: $i,SV24: $i,SV25: $i] :
( ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= $true )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(rename,[status(thm)],[39]) ).
thf(71,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ SV22 )
= $true ) ),
inference(res,[status(thm)],[68,51]) ).
thf(72,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= ( p @ SV22 ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= $true )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[68,51]) ).
thf(73,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV15: $i,SV16: $i] :
( ( ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= ( p @ SV16 ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ) ),
inference(res,[status(thm)],[68,42]) ).
thf(74,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV15: $i,SV16: $i] :
( ( ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= ( p @ ( nand @ SV16 @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ SV16 )
= $false ) ),
inference(res,[status(thm)],[68,42]) ).
thf(75,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= ( p @ SV12 ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= $true )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[68,29]) ).
thf(76,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV12 )
= $true ) ),
inference(res,[status(thm)],[68,29]) ).
thf(77,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= ( p @ SV14 ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ SV12 )
= $true ) ),
inference(res,[status(thm)],[68,29]) ).
thf(78,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= $true ) ),
inference(res,[status(thm)],[68,27]) ).
thf(80,plain,
! [SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) ) ) )
= $true ),
inference(extuni,[status(esa)],[78:[bind(SV23,$thf( nand @ SV11 @ ( nand @ SV11 @ SV10 ) )),bind(SV24,$thf( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) )),bind(SV25,$thf( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ))]]) ).
thf(81,plain,
! [SV23: $i,SV13: $i,SV24: $i,SV25: $i,SV12: $i] :
( ( ( p @ SV12 )
= $true )
| ( ( p @ ( nand @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[77:[bind(SV14,$thf( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ))]]) ).
thf(82,plain,
! [SV23: $i,SV13: $i,SV12: $i] :
( ( ( p @ SV12 )
= $true )
| ( ( p @ SV13 )
= $false )
| ( ( p @ ( nand @ SV13 @ ( nand @ SV12 @ SV23 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[76:[bind(SV24,$thf( SV12 )),bind(SV14,$thf( SV13 )),bind(SV25,$thf( SV13 ))]]) ).
thf(83,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[75:[bind(SV12,$thf( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ))]]) ).
thf(84,plain,
! [SV23: $i,SV15: $i] :
( ( ( p @ SV15 )
= $false )
| ( ( p @ ( nand @ SV15 @ ( nand @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) @ SV23 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[74:[bind(SV24,$thf( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) )),bind(SV16,$thf( SV15 )),bind(SV25,$thf( SV15 ))]]) ).
thf(85,plain,
! [SV23: $i,SV15: $i,SV24: $i,SV25: $i] :
( ( ( p @ ( nand @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) @ ( nand @ SV15 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV16,$thf( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ))]]) ).
thf(86,plain,
! [SV23: $i,SV24: $i,SV25: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[72:[bind(SV22,$thf( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ))]]) ).
thf(87,plain,
! [SV23: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( p @ SV22 )
= $true )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV22 @ SV23 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[71:[bind(SV24,$thf( SV22 )),bind(SV17,$thf( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) )),bind(SV25,$thf( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ))]]) ).
thf(90,plain,
! [SV26: $i,SV27: $i,SV28: $i,SV29: $i,SV30: $i] :
( ( p @ ( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ SV26 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ),
inference(rename,[status(thm)],[48]) ).
thf(91,plain,
! [SV26: $i,SV27: $i,SV28: $i,SV29: $i,SV30: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( p @ ( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ SV26 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(res,[status(thm)],[90,68]) ).
thf(92,plain,
! [SV26: $i,SV27: $i,SV28: $i,SV29: $i,SV30: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ ( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ SV26 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= ( p @ SV22 ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[90,51]) ).
thf(93,plain,
! [SV26: $i,SV27: $i,SV28: $i,SV29: $i,SV30: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ SV26 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= ( p @ SV12 ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[90,29]) ).
thf(95,plain,
! [SV26: $i,SV27: $i,SV28: $i,SV29: $i,SV30: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ ( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ SV26 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[93:[bind(SV12,$thf( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ SV26 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ))]]) ).
thf(96,plain,
! [SV26: $i,SV27: $i,SV28: $i,SV29: $i,SV30: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ ( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ SV26 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[92:[bind(SV22,$thf( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ SV26 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ))]]) ).
thf(97,plain,
! [SV23: $i,SV27: $i,SV28: $i,SV29: $i,SV30: $i] :
( ( p @ ( nand @ ( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ) @ ( nand @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) @ SV23 ) ) )
= $false ),
inference(extuni,[status(esa)],[91:[bind(SV24,$thf( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) )),bind(SV26,$thf( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) )),bind(SV25,$thf( nand @ ( nand @ SV30 @ ( nand @ SV29 @ SV28 ) ) @ ( nand @ ( nand @ ( nand @ SV27 @ SV28 ) @ ( nand @ ( nand @ SV30 @ SV27 ) @ ( nand @ SV30 @ SV27 ) ) ) @ ( nand @ SV30 @ ( nand @ SV30 @ SV29 ) ) ) ))]]) ).
thf(98,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i] :
( ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ SV32 )
= $false ) ),
inference(rename,[status(thm)],[49]) ).
thf(99,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( p @ SV32 )
= ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) ) )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,68]) ).
thf(100,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( p @ SV34 )
= ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) ) )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,68]) ).
thf(101,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,68]) ).
thf(102,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ SV32 )
= ( p @ SV22 ) )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,51]) ).
thf(103,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ SV34 )
= ( p @ SV22 ) )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,51]) ).
thf(104,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= ( p @ SV22 ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,51]) ).
thf(105,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ SV32 )
= ( p @ SV12 ) )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,29]) ).
thf(106,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ SV34 )
= ( p @ SV12 ) )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,29]) ).
thf(107,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= ( p @ SV12 ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[98,29]) ).
thf(108,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ SV32 )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV34 )
= $false ) ),
inference(res,[status(thm)],[98,27]) ).
thf(109,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ SV34 )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV32 )
= $false ) ),
inference(res,[status(thm)],[98,27]) ).
thf(110,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ SV32 )
= $false ) ),
inference(res,[status(thm)],[98,27]) ).
thf(111,plain,
! [SV9: $i,SV11: $i] :
( ( ( p @ SV11 )
= $false )
| ( ( p @ ( nand @ SV11 @ ( nand @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV10,$thf( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) )),bind(SV31,$thf( SV11 )),bind(SV32,$thf( SV11 )),bind(SV33,$thf( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) )),bind(SV34,$thf( nand @ SV11 @ ( nand @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) @ SV9 ) ))]]) ).
thf(112,plain,
! [SV31: $i,SV33: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV32: $i] :
( ( ( p @ SV32 )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[109:[bind(SV34,$thf( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ))]]) ).
thf(113,plain,
! [SV31: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV33: $i,SV34: $i] :
( ( ( p @ SV34 )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[108:[bind(SV32,$thf( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ))]]) ).
thf(114,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ SV34 )
= $false ) ),
inference(extuni,[status(esa)],[107:[bind(SV12,$thf( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ))]]) ).
thf(115,plain,
! [SV31: $i,SV33: $i,SV32: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ ( nand @ SV12 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[106:[bind(SV34,$thf( SV12 ))]]) ).
thf(116,plain,
! [SV31: $i,SV33: $i,SV34: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV12 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[105:[bind(SV32,$thf( SV12 ))]]) ).
thf(117,plain,
! [SV31: $i,SV32: $i,SV33: $i,SV34: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ SV34 )
= $false ) ),
inference(extuni,[status(esa)],[104:[bind(SV22,$thf( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ))]]) ).
thf(118,plain,
! [SV31: $i,SV33: $i,SV32: $i,SV22: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ ( nand @ SV22 @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[103:[bind(SV34,$thf( SV22 ))]]) ).
thf(119,plain,
! [SV31: $i,SV33: $i,SV34: $i,SV22: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ SV22 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[102:[bind(SV32,$thf( SV22 ))]]) ).
thf(120,plain,
! [SV23: $i,SV31: $i,SV32: $i,SV25: $i] :
( ( ( p @ ( nand @ SV25 @ ( nand @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) @ SV23 ) ) )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ SV25 )
= $false ) ),
inference(extuni,[status(esa)],[101:[bind(SV24,$thf( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) )),bind(SV33,$thf( SV25 )),bind(SV34,$thf( SV25 ))]]) ).
thf(121,plain,
! [SV31: $i,SV33: $i,SV32: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ SV32 )
= $false )
| ( ( p @ ( nand @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) @ ( nand @ SV33 @ ( nand @ SV32 @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[100:[bind(SV34,$thf( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ))]]) ).
thf(122,plain,
! [SV31: $i,SV33: $i,SV34: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ SV34 )
= $false )
| ( ( p @ ( nand @ SV34 @ ( nand @ SV33 @ ( nand @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) @ ( nand @ SV31 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[99:[bind(SV32,$thf( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ))]]) ).
thf(123,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i] :
( ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ) ),
inference(rename,[status(thm)],[50]) ).
thf(124,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) ) )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,68]) ).
thf(125,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( p @ SV38 )
= ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) ) )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,68]) ).
thf(126,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= ( p @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,68]) ).
thf(127,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= ( p @ SV22 ) )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,51]) ).
thf(128,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ SV38 )
= ( p @ SV22 ) )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,51]) ).
thf(129,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i,SV22: $i] :
( ( ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= ( p @ SV22 ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,51]) ).
thf(130,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= ( p @ SV12 ) )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,29]) ).
thf(131,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ SV38 )
= ( p @ SV12 ) )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,29]) ).
thf(132,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= ( p @ SV12 ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false ) ),
inference(res,[status(thm)],[123,29]) ).
thf(134,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ SV38 )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ) ),
inference(res,[status(thm)],[123,27]) ).
thf(135,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false ) ),
inference(res,[status(thm)],[123,27]) ).
thf(136,plain,
! [SV9: $i,SV35: $i,SV10: $i,SV11: $i] :
( ( ( p @ ( nand @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[135:[bind(SV36,$thf( nand @ SV11 @ ( nand @ SV11 @ SV10 ) )),bind(SV37,$thf( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) )),bind(SV38,$thf( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ))]]) ).
thf(137,plain,
! [SV37: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV35: $i,SV36: $i] :
( ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ) @ ( nand @ SV37 @ SV36 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[134:[bind(SV38,$thf( nand @ ( nand @ SV11 @ ( nand @ SV10 @ SV9 ) ) @ ( nand @ ( nand @ ( nand @ SV8 @ SV9 ) @ ( nand @ ( nand @ SV11 @ SV8 ) @ ( nand @ SV11 @ SV8 ) ) ) @ ( nand @ SV11 @ ( nand @ SV11 @ SV10 ) ) ) ))]]) ).
thf(138,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV38 )
= $false ) ),
inference(extuni,[status(esa)],[132:[bind(SV12,$thf( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ))]]) ).
thf(139,plain,
! [SV37: $i,SV35: $i,SV36: $i,SV12: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ SV12 ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV12 @ ( nand @ SV37 @ SV36 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[131:[bind(SV38,$thf( SV12 ))]]) ).
thf(140,plain,
! [SV37: $i,SV38: $i,SV35: $i,SV36: $i,SV13: $i,SV14: $i] :
( ( ( p @ ( nand @ SV14 @ ( nand @ SV13 @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV14 )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[130:[bind(SV12,$thf( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ))]]) ).
thf(141,plain,
! [SV35: $i,SV36: $i,SV37: $i,SV38: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV38 )
= $false ) ),
inference(extuni,[status(esa)],[129:[bind(SV22,$thf( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ))]]) ).
thf(142,plain,
! [SV37: $i,SV35: $i,SV36: $i,SV22: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ SV22 ) ) )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ SV22 @ ( nand @ SV37 @ SV36 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[128:[bind(SV38,$thf( SV22 ))]]) ).
thf(143,plain,
! [SV37: $i,SV38: $i,SV35: $i,SV36: $i,SV17: $i,SV18: $i,SV19: $i,SV20: $i,SV21: $i] :
( ( ( p @ ( nand @ ( nand @ ( nand @ SV21 @ ( nand @ SV20 @ SV19 ) ) @ ( nand @ ( nand @ ( nand @ SV18 @ SV19 ) @ ( nand @ ( nand @ SV21 @ SV18 ) @ ( nand @ SV21 @ SV18 ) ) ) @ ( nand @ SV21 @ ( nand @ SV21 @ SV20 ) ) ) ) @ ( nand @ SV17 @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV36 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[127:[bind(SV22,$thf( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ))]]) ).
thf(144,plain,
! [SV35: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ ( nand @ SV24 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ SV25 )
= $false ) ),
inference(extuni,[status(esa)],[126:[bind(SV36,$thf( SV24 )),bind(SV37,$thf( SV25 )),bind(SV38,$thf( SV25 ))]]) ).
thf(145,plain,
! [SV37: $i,SV35: $i,SV36: $i,SV23: $i,SV24: $i,SV25: $i] :
( ( ( p @ ( nand @ SV25 @ ( nand @ SV24 @ SV23 ) ) )
= $false )
| ( ( p @ ( nand @ SV36 @ ( nand @ SV35 @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) ) ) )
= $false )
| ( ( p @ ( nand @ ( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ) @ ( nand @ SV37 @ SV36 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[125:[bind(SV38,$thf( nand @ SV25 @ ( nand @ SV25 @ SV24 ) ))]]) ).
thf(146,plain,
! [SV37: $i,SV38: $i,SV23: $i,SV25: $i] :
( ( ( p @ ( nand @ SV25 @ ( nand @ ( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) ) @ SV23 ) ) )
= $false )
| ( ( p @ SV38 )
= $false )
| ( ( p @ ( nand @ SV38 @ ( nand @ SV37 @ SV25 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[124:[bind(SV24,$thf( nand @ ( nand @ sK1_A @ ( nand @ sK2_SY57 @ sK2_SY57 ) ) @ ( nand @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) @ ( nand @ ( nand @ sK2_SY57 @ sK2_SY57 ) @ ( nand @ ( nand @ sK1_A @ sK1_A ) @ ( nand @ sK1_A @ sK1_A ) ) ) ) )),bind(SV35,$thf( SV25 )),bind(SV36,$thf( SV25 ))]]) ).
thf(147,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[17,146,145,144,143,142,141,140,139,138,137,136,123,122,121,120,119,118,117,116,115,114,113,112,111,98,97,96,95,90,87,86,85,84,83,82,81,80,68,67,66,65,64,63,62,61,51,42,29,27]) ).
thf(148,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO109+1 : TPTP v8.1.0. Released v3.5.0.
% 0.10/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 1 18:34:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 2
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:2,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full).eprover: CPU time limit exceeded, terminating
% 74.24/74.44 ..
% 75.13/75.31 (rf:0,axioms:2,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full).eprover: CPU time limit exceeded, terminating
% 150.21/150.44
% 150.21/150.44 (rf:0,axioms:2,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full)..eprover: CPU time limit exceeded, terminating
% 224.32/224.67 ..
% 224.90/225.24 (rf:2,axioms:2,ps:1,u:3,ude:true,rLeibEQ:false,rAndEQ:false,use_choice:false,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full).....
% 286.87/287.20
% 286.87/287.20 ********************************
% 286.87/287.20 * All subproblems solved! *
% 286.87/287.20 ********************************
% 286.87/287.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:2,ps:1,u:3,ude:true,rLeibEQ:false,rAndEQ:false,use_choice:false,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:72,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:147,loop_count:10,foatp_calls:1,translation:fof_full)
% 286.87/287.25
% 286.87/287.25 %**** Beginning of derivation protocol ****
% 286.87/287.25 % SZS output start CNFRefutation
% See solution above
% 286.87/287.25
% 286.87/287.25 %**** End of derivation protocol ****
% 286.87/287.25 %**** no. of clauses in derivation: 130 ****
% 286.87/287.25 %**** clause counter: 147 ****
% 286.87/287.25
% 286.87/287.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:2,ps:1,u:3,ude:true,rLeibEQ:false,rAndEQ:false,use_choice:false,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:72,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:147,loop_count:10,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------