TSTP Solution File: HWV009-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : HWV009-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 : 300s
% DateTime : Fri May 19 11:17:05 EDT 2023
% Result : Unsatisfiable 4.88s 2.22s
% Output : Refutation 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 115
% Syntax : Number of formulae : 208 ( 15 unt; 23 typ; 0 def)
% Number of atoms : 747 ( 102 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 2424 ( 312 ~; 562 |; 0 &;1550 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 5 con; 0-3 aty)
% Number of variables : 278 ( 0 ^; 278 !; 0 ?; 278 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_Reset_type,type,
p_Reset: $i > $o ).
thf(t_139_type,type,
t_139: $i ).
thf(level_type,type,
level: $i > $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(n0_type,type,
n0: $i ).
thf(p_Wr_error_type,type,
p_Wr_error: $i > $o ).
thf(p_Rd_error_type,type,
p_Rd_error: $i > $o ).
thf(int_level_type,type,
int_level: $i > $i ).
thf(fifo_length_type,type,
fifo_length: $i ).
thf(p_Full_type,type,
p_Full: $i > $o ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(def_10_type,type,
def_10: $i > $i > $o ).
thf(p_Empty_type,type,
p_Empty: $i > $o ).
thf(p_Wr_type,type,
p_Wr: $i > $o ).
thf(p_Rd_type,type,
p_Rd: $i > $o ).
thf(p_Mem_type,type,
p_Mem: $i > $i > $i > $o ).
thf(wr_level_type,type,
wr_level: $i > $i ).
thf(p_Data_in_type,type,
p_Data_in: $i > $i > $o ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(y_27_type,type,
y_27: $i > $i ).
thf(p_Data_out_type,type,
p_Data_out: $i > $i > $o ).
thf(rd_level_type,type,
rd_level: $i > $i ).
thf(57,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ ( rd_level @ A ) @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).
thf(234,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ ( rd_level @ A ) @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(21,axiom,
! [A: $i] :
( ~ ( p_Reset @ A )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
thf(142,plain,
! [A: $i] :
( ~ ( p_Reset @ A )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(63,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_out @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(248,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_out @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(16,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( gt @ ( minus @ fifo_length @ n1 ) @ ( wr_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(129,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( gt @ ( minus @ fifo_length @ n1 ) @ ( wr_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(89,axiom,
! [A: $i] : ( gt @ ( plus @ A @ n1 ) @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(314,plain,
! [A: $i] : ( gt @ ( plus @ A @ n1 ) @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(67,axiom,
! [A: $i] :
( ~ ( p_Reset @ A )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(258,plain,
! [A: $i] :
( ~ ( p_Reset @ A )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(29,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( B
= ( wr_level @ A ) )
| ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).
thf(163,plain,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( B
= ( wr_level @ A ) )
| ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(4,axiom,
! [A: $i] :
( ( ( int_level @ A )
!= fifo_length )
| ( p_Full @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(100,plain,
! [A: $i] :
( ( ( int_level @ A )
!= fifo_length )
| ( p_Full @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( p_Mem @ ( wr_level @ A ) @ B @ ( plus @ A @ n1 ) )
| ( p_Data_in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
thf(170,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( p_Mem @ ( wr_level @ A ) @ B @ ( plus @ A @ n1 ) )
| ( p_Data_in @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(74,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ( p_Mem @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(276,plain,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ( p_Mem @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(87,axiom,
! [A: $i] :
( ~ ( p_Reset @ A )
| ( ( int_level @ ( plus @ A @ n1 ) )
= n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(308,plain,
! [A: $i] :
( ~ ( p_Reset @ A )
| ( ( int_level @ ( plus @ A @ n1 ) )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(71,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ~ ( p_Mem @ ( wr_level @ A ) @ B @ ( plus @ A @ n1 ) )
| ( p_Data_in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(269,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ~ ( p_Mem @ ( wr_level @ A ) @ B @ ( plus @ A @ n1 ) )
| ( p_Data_in @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_out @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
thf(202,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_out @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ( gt @ A @ B )
| ~ ( gt @ ( plus @ A @ n1 ) @ B )
| ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(174,plain,
! [B: $i,A: $i] :
( ( gt @ A @ B )
| ~ ( gt @ ( plus @ A @ n1 ) @ B )
| ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(38,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Wr_error @ ( plus @ A @ n1 ) )
| ( p_Wr_error @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).
thf(185,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Wr_error @ ( plus @ A @ n1 ) )
| ( p_Wr_error @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(92,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Data_out @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
thf(320,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Data_out @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( def_10 @ A @ B )
| ~ ( gt @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(110,plain,
! [B: $i,A: $i] :
( ~ ( def_10 @ A @ B )
| ~ ( gt @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(14,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( p_Wr_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(125,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( p_Wr_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(27,axiom,
! [A: $i] :
( ( ( int_level @ A )
= n0 )
| ~ ( p_Empty @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(157,plain,
! [A: $i] :
( ( ( int_level @ A )
= n0 )
| ~ ( p_Empty @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(1,negated_conjecture,
p_Reset @ t_139,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
thf(93,plain,
p_Reset @ t_139,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(25,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( int_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
thf(152,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( int_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(79,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Mem @ ( rd_level @ A ) @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).
thf(289,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Mem @ ( rd_level @ A ) @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(68,axiom,
! [A: $i] :
( ( plus @ A @ n1 )
!= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(261,plain,
! [A: $i] :
( ( plus @ A @ n1 )
!= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(50,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
thf(216,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(36,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ( p_Rd_error @ ( plus @ A @ n1 ) )
| ~ ( p_Rd_error @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).
thf(179,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ( p_Rd_error @ ( plus @ A @ n1 ) )
| ~ ( p_Rd_error @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(65,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(253,plain,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(12,axiom,
! [A: $i] :
( ( plus @ n0 @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(121,plain,
! [A: $i] :
( ( plus @ n0 @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(23,axiom,
! [A: $i] :
( ( A = n0 )
| ( A
= ( plus @ ( y_27 @ A ) @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(147,plain,
! [A: $i] :
( ( A = n0 )
| ( A
= ( plus @ ( y_27 @ A ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(52,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Data_out @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
thf(221,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Data_out @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(81,axiom,
! [B: $i,A: $i] :
( ~ ( gt @ A @ B )
| ( gt @ ( plus @ A @ n1 ) @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(293,plain,
! [B: $i,A: $i] :
( ~ ( gt @ A @ B )
| ( gt @ ( plus @ A @ n1 ) @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(17,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) )
| ( p_Rd_error @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(132,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) )
| ( p_Rd_error @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(10,axiom,
! [A: $i] :
( ( ( int_level @ A )
!= n0 )
| ( p_Empty @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(116,plain,
! [A: $i] :
( ( ( int_level @ A )
!= n0 )
| ( p_Empty @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(46,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( int_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(206,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( int_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ~ ( gt @ A @ B )
| ( ( plus @ B @ n1 )
= A )
| ( gt @ A @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(160,plain,
! [B: $i,A: $i] :
( ~ ( gt @ A @ B )
| ( ( plus @ B @ n1 )
= A )
| ( gt @ A @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(19,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= ( wr_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
thf(137,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= ( wr_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(55,axiom,
! [B: $i,A: $i] :
( ( gt @ A @ B )
| ~ ( gt @ ( plus @ A @ n1 ) @ ( plus @ B @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(229,plain,
! [B: $i,A: $i] :
( ( gt @ A @ B )
| ~ ( gt @ ( plus @ A @ n1 ) @ ( plus @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(42,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
thf(197,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(3,axiom,
! [A: $i] :
( ( ( int_level @ A )
= fifo_length )
| ~ ( p_Full @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
thf(97,plain,
! [A: $i] :
( ( ( int_level @ A )
= fifo_length )
| ~ ( p_Full @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(41,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( minus @ A @ B )
= C )
| ( ( plus @ C @ B )
!= A )
| ( def_10 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(193,plain,
! [C: $i,B: $i,A: $i] :
( ( ( minus @ A @ B )
= C )
| ( ( plus @ C @ B )
!= A )
| ( def_10 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(48,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_out @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
thf(212,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_out @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( B
= ( wr_level @ A ) )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ( p_Mem @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
thf(134,plain,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( B
= ( wr_level @ A ) )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ( p_Mem @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(70,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( minus @ ( int_level @ A ) @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
thf(266,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( minus @ ( int_level @ A ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(88,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( gt @ ( minus @ fifo_length @ n1 ) @ ( rd_level @ A ) )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
thf(311,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( gt @ ( minus @ fifo_length @ n1 ) @ ( rd_level @ A ) )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( gt @ A @ B )
| ( B = A )
| ( gt @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(105,plain,
! [B: $i,A: $i] :
( ( gt @ A @ B )
| ( B = A )
| ( gt @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(61,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
thf(244,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(83,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ( p_Mem @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).
thf(298,plain,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ( p_Mem @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(30,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ ( rd_level @ A ) @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
thf(166,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ ( rd_level @ A ) @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(69,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_out @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
thf(264,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_out @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(78,axiom,
! [B: $i,A: $i] :
( ~ ( gt @ ( plus @ A @ n1 ) @ B )
| ( gt @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(286,plain,
! [B: $i,A: $i] :
( ~ ( gt @ ( plus @ A @ n1 ) @ B )
| ( gt @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(80,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ( p_Wr_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
thf(291,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ( p_Wr_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(76,axiom,
! [A: $i] :
( ~ ( p_Reset @ A )
| ~ ( p_Wr_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(281,plain,
! [A: $i] :
( ~ ( p_Reset @ A )
| ~ ( p_Wr_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(45,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Wr_error @ ( plus @ A @ n1 ) )
| ~ ( p_Wr_error @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).
thf(204,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Wr_error @ ( plus @ A @ n1 ) )
| ~ ( p_Wr_error @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(58,axiom,
! [A: $i] :
( ( A = n0 )
| ( gt @ A @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(236,plain,
! [A: $i] :
( ( A = n0 )
| ( gt @ A @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(37,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( minus @ A @ B )
!= C )
| ( ( plus @ C @ B )
= A )
| ( def_10 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(181,plain,
! [C: $i,B: $i,A: $i] :
( ( ( minus @ A @ B )
!= C )
| ( ( plus @ C @ B )
= A )
| ( def_10 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(39,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( plus @ ( int_level @ A ) @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
thf(187,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( plus @ ( int_level @ A ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(33,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( p_Reset @ A )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(172,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p_Reset @ A )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(73,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(274,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(91,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( p_Mem @ ( wr_level @ A ) @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(318,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( p_Mem @ ( wr_level @ A ) @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_in @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(85,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( minus @ fifo_length @ n1 ) @ ( wr_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= ( plus @ ( wr_level @ A ) @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).
thf(303,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( minus @ fifo_length @ n1 ) @ ( wr_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= ( plus @ ( wr_level @ A ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(72,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( int_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
thf(271,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( int_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( gt @ A @ B )
| ( gt @ A @ C )
| ~ ( gt @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(103,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( gt @ A @ B )
| ( gt @ A @ C )
| ~ ( gt @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(20,axiom,
! [A: $i] :
( ~ ( gt @ A @ n0 )
| ( gt @ A @ ( minus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(140,plain,
! [A: $i] :
( ~ ( gt @ A @ n0 )
| ( gt @ A @ ( minus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(26,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) )
| ( p_Rd_error @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_85) ).
thf(155,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) )
| ( p_Rd_error @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(7,axiom,
! [A: $i] :
~ ( gt @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(108,plain,
! [A: $i] :
~ ( gt @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(75,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( minus @ fifo_length @ n1 ) @ ( wr_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
thf(278,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( minus @ fifo_length @ n1 ) @ ( wr_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(53,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( gt @ ( minus @ fifo_length @ n1 ) @ ( rd_level @ A ) )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( plus @ ( rd_level @ A ) @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
thf(223,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( gt @ ( minus @ fifo_length @ n1 ) @ ( rd_level @ A ) )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( plus @ ( rd_level @ A ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(86,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).
thf(306,plain,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(54,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( gt @ ( minus @ fifo_length @ n1 ) @ ( rd_level @ A ) )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( plus @ ( rd_level @ A ) @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
thf(226,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( gt @ ( minus @ fifo_length @ n1 ) @ ( rd_level @ A ) )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( plus @ ( rd_level @ A ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(66,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( rd_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).
thf(255,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( rd_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(47,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( int_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(209,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( gt @ fifo_length @ ( int_level @ A ) )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( int_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( def_10 @ A @ B )
| ( B != A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(112,plain,
! [B: $i,A: $i] :
( ~ ( def_10 @ A @ B )
| ( B != A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( p_Mem @ ( wr_level @ A ) @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( p_Mem @ ( wr_level @ A ) @ B @ ( plus @ A @ n1 ) )
| ~ ( p_Data_in @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(22,axiom,
( n1
= ( plus @ n0 @ n1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(145,plain,
( n1
= ( plus @ n0 @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(82,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( rd_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
thf(295,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( rd_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Mem @ ( rd_level @ A ) @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
thf(150,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Mem @ ( rd_level @ A ) @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(43,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( rd_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(199,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( rd_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(35,axiom,
! [B: $i,A: $i] :
( ~ ( p_Reset @ A )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
thf(177,plain,
! [B: $i,A: $i] :
( ~ ( p_Reset @ A )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(15,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( p_Rd_error @ ( plus @ A @ n1 ) )
| ~ ( p_Rd_error @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(127,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ( p_Rd_error @ ( plus @ A @ n1 ) )
| ~ ( p_Rd_error @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(51,axiom,
! [B: $i,A: $i] :
( ( ( plus @ A @ n1 )
!= ( plus @ B @ n1 ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(218,plain,
! [B: $i,A: $i] :
( ( ( plus @ A @ n1 )
!= ( plus @ B @ n1 ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(64,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( gt @ ( minus @ fifo_length @ n1 ) @ ( rd_level @ A ) )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
thf(250,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ~ ( gt @ ( int_level @ A ) @ n0 )
| ( gt @ ( minus @ fifo_length @ n1 ) @ ( rd_level @ A ) )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(56,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( rd_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
thf(231,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ~ ( p_Rd @ A )
| ( gt @ ( int_level @ A ) @ n0 )
| ( ( rd_level @ ( plus @ A @ n1 ) )
= ( rd_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(11,axiom,
! [A: $i] :
( ( level @ A )
= ( int_level @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(119,plain,
! [A: $i] :
( ( level @ A )
= ( int_level @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(62,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Data_out @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
thf(246,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Data_out @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(49,axiom,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Data_out @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).
thf(214,plain,
! [B: $i,A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( p_Data_out @ B @ ( plus @ A @ n1 ) )
| ( p_Data_out @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(84,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( B
= ( wr_level @ A ) )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ( p_Mem @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(300,plain,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( B
= ( wr_level @ A ) )
| ~ ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ( p_Mem @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(90,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= ( wr_level @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).
thf(315,plain,
! [A: $i] :
( ( p_Reset @ A )
| ( p_Wr @ A )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= ( wr_level @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(31,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ~ ( p_Wr_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(168,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ~ ( p_Wr_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(40,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( B
= ( wr_level @ A ) )
| ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
thf(190,plain,
! [C: $i,B: $i,A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( B
= ( wr_level @ A ) )
| ( p_Mem @ B @ C @ ( plus @ A @ n1 ) )
| ~ ( p_Mem @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(2,negated_conjecture,
( ( ( level @ ( plus @ t_139 @ n1 ) )
!= n0 )
| ( p_Wr_error @ ( plus @ t_139 @ n1 ) )
| ( p_Rd_error @ ( plus @ t_139 @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
thf(94,plain,
( ( ( level @ ( plus @ t_139 @ n1 ) )
!= n0 )
| ( p_Wr_error @ ( plus @ t_139 @ n1 ) )
| ( p_Rd_error @ ( plus @ t_139 @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(77,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ~ ( gt @ ( minus @ fifo_length @ n1 ) @ ( wr_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= ( plus @ ( wr_level @ A ) @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
thf(283,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ~ ( gt @ ( minus @ fifo_length @ n1 ) @ ( wr_level @ A ) )
| ( ( wr_level @ ( plus @ A @ n1 ) )
= ( plus @ ( wr_level @ A ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(59,axiom,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( plus @ ( int_level @ A ) @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(239,plain,
! [A: $i] :
( ( p_Reset @ A )
| ~ ( p_Wr @ A )
| ( p_Rd @ A )
| ~ ( gt @ fifo_length @ ( int_level @ A ) )
| ( ( int_level @ ( plus @ A @ n1 ) )
= ( plus @ ( int_level @ A ) @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(60,axiom,
! [A: $i] :
( ~ ( p_Reset @ A )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(242,plain,
! [A: $i] :
( ~ ( p_Reset @ A )
| ~ ( p_Rd_error @ ( plus @ A @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(322,plain,
$false,
inference(e,[status(thm)],[234,142,248,129,314,258,163,100,170,276,308,269,202,174,185,320,110,125,157,93,152,289,261,216,179,253,121,147,221,293,132,116,206,160,137,229,197,97,193,212,134,266,311,105,244,298,166,264,286,291,281,204,236,181,187,172,274,318,303,271,103,140,155,108,278,223,306,226,255,209,112,123,145,295,150,199,177,127,218,250,231,119,246,214,300,315,168,190,94,283,239,242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV009-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n022.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Fri May 19 03:45:48 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.90/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.38/1.01 % [INFO] Parsing done (162ms).
% 1.38/1.02 % [INFO] Running in sequential loop mode.
% 1.87/1.24 % [INFO] eprover registered as external prover.
% 1.87/1.24 % [INFO] cvc4 registered as external prover.
% 2.02/1.25 % [INFO] Scanning for conjecture ...
% 2.20/1.33 % [INFO] Found a conjecture and 90 axioms. Running axiom selection ...
% 2.28/1.39 % [INFO] Axiom selection finished. Selected 90 axioms (removed 0 axioms).
% 2.65/1.46 % [INFO] Problem is propositional (TPTP CNF).
% 2.65/1.47 % [INFO] Type checking passed.
% 2.65/1.47 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 4.88/2.21 % External prover 'e' found a proof!
% 4.88/2.21 % [INFO] Killing All external provers ...
% 4.88/2.21 % Time passed: 1683ms (effective reasoning time: 1186ms)
% 4.88/2.21 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.88/2.21 % Axioms used in derivation (90): axiom_64, axiom_53, axiom_75, axiom_7, axiom_26, axiom_55, axiom_88, axiom_33, axiom_10, axiom_40, axiom_22, axiom_59, axiom_77, axiom_44, axiom_49, axiom_15, axiom_73, axiom_67, axiom_69, axiom_51, axiom_21, axiom_19, axiom_84, axiom_63, axiom_38, axiom_2, axiom_79, axiom_89, axiom_43, axiom_27, axiom_32, axiom_6, axiom_60, axiom_78, axiom_54, axiom_16, axiom_81, axiom_50, axiom_74, axiom_3, axiom_68, axiom_46, axiom_20, axiom_85, axiom_70, axiom_42, axiom_31, axiom_24, axiom_90, axiom_1, axiom_57, axiom_61, axiom_35, axiom_28, axiom_65, axiom_36, axiom_39, axiom_80, axiom_71, axiom_8, axiom_17, axiom_86, axiom_5, axiom_47, axiom_13, axiom_82, axiom_41, axiom_25, axiom_76, axiom_52, axiom_34, axiom_58, axiom_62, axiom_45, axiom_29, axiom_11, axiom_56, axiom_30, axiom_23, axiom_18, axiom_87, axiom_12, axiom_9, axiom_48, axiom_83, axiom_14, axiom_72, axiom_4, axiom_66, axiom_37
% 4.88/2.21 % No. of inferences in proof: 185
% 4.88/2.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1683 ms resp. 1186 ms w/o parsing
% 5.15/2.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.15/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------