TSTP Solution File: HWV026-2 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : HWV026-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 11:17:13 EDT 2023
% Result : Unsatisfiable 6.38s 2.49s
% Output : Refutation 6.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 186
% Syntax : Number of formulae : 324 ( 59 unt; 49 typ; 0 def)
% Number of atoms : 839 ( 160 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3374 ( 378 ~; 564 |; 0 &;2432 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 63 ( 63 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 49 usr; 9 con; 0-3 aty)
% Number of variables : 450 ( 0 ^; 450 !; 0 ?; 450 :)
% Comments :
%------------------------------------------------------------------------------
thf(p__pred__type,type,
p__pred_: $i > $o ).
thf(fwork_DOTfifo_DOTrtl_DOTwr__type,type,
fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i ).
thf(t_206_type,type,
t_206: $i ).
thf(fwork_DOTfifo_DOTrtl_DOTreset__type,type,
fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTwr__error__type,type,
fwork_DOTfifo_DOTrtl_DOTwr__error_: $i > $i ).
thf(f_ADD__type,type,
f_ADD_: $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(f__index__type,type,
f__index_: $i > $i > $i ).
thf(f__nor__type,type,
f__nor_: $i > $i > $i ).
thf(f__others__type,type,
f__others_: $i > $i ).
thf(f__xor__type,type,
f__xor_: $i > $i > $i ).
thf(def_89_type,type,
def_89: $i > $i > $o ).
thf(p_LES_EQU__type,type,
p_LES_EQU_: $i > $i > $o ).
thf(f__and__type,type,
f__and_: $i > $i > $i ).
thf(length_type,type,
length: $i > $i ).
thf(f__concat__type,type,
f__concat_: $i > $i > $i ).
thf(f_SUB__type,type,
f_SUB_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTlevel__type,type,
fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTint__level__type,type,
fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).
thf(f__false__type,type,
f__false_: $i ).
thf(f__true__type,type,
f__true_: $i ).
thf(n0_type,type,
n0: $i ).
thf(f__xnor__type,type,
f__xnor_: $i > $i > $i ).
thf(f__cons__type,type,
f__cons_: $i > $i > $i ).
thf(f__nand__type,type,
f__nand_: $i > $i > $i ).
thf(f__or__type,type,
f__or_: $i > $i > $i ).
thf(f__length__type,type,
f__length_: $i > $i ).
thf(f__empty__type,type,
f__empty_: $i ).
thf(f__not__type,type,
f__not_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTrd__error__type,type,
fwork_DOTfifo_DOTrtl_DOTrd__error_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTrd__type,type,
fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i ).
thf(f__leq__type,type,
f__leq_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTmem__type,type,
fwork_DOTfifo_DOTrtl_DOTmem_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTfifo__width__type,type,
fwork_DOTfifo_DOTrtl_DOTfifo__width_: $i ).
thf(fwork_DOTfifo_DOTrtl_DOTfifo__length__type,type,
fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i ).
thf(f__equiv__type,type,
f__equiv_: $i > $i > $i ).
thf(f__geq__type,type,
f__geq_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTwr__level__type,type,
fwork_DOTfifo_DOTrtl_DOTwr__level_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTdata__in__type,type,
fwork_DOTfifo_DOTrtl_DOTdata__in_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTrd__level__type,type,
fwork_DOTfifo_DOTrtl_DOTrd__level_: $i > $i ).
thf(fstd_DOTstandard_DOTmod__type,type,
fstd_DOTstandard_DOTmod_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTempty__type,type,
fwork_DOTfifo_DOTrtl_DOTempty_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTfull__type,type,
fwork_DOTfifo_DOTrtl_DOTfull_: $i > $i ).
thf(f__gt__type,type,
f__gt_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTdata__out__type,type,
fwork_DOTfifo_DOTrtl_DOTdata__out_: $i > $i ).
thf(f__slice__type,type,
f__slice_: $i > $i > $i > $i ).
thf(f__equal__type,type,
f__equal_: $i > $i > $i ).
thf(f__lt__type,type,
f__lt_: $i > $i > $i ).
thf(y_105_type,type,
y_105: $i > $i ).
thf(113,axiom,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ~ ( p__pred_ @ ( f__lt_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
thf(404,plain,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ~ ( p__pred_ @ ( f__lt_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(75,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
thf(314,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(1,negated_conjecture,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
thf(138,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(89,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(347,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(43,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n1 ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(234,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n1 ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(91,axiom,
! [A: $i] :
( ( f_ADD_ @ n0 @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
thf(352,plain,
! [A: $i] :
( ( f_ADD_ @ n0 @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(83,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ ( f__or_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_110) ).
thf(333,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ ( f__or_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(49,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(249,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(73,axiom,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) ) ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
thf(308,plain,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) ) ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(48,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__xor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_112) ).
thf(247,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__xor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(29,axiom,
! [C: $i,B: $i,A: $i] :
( ( def_89 @ A @ B )
| ( ( f_ADD_ @ C @ A )
= B )
| ( ( f_SUB_ @ B @ A )
!= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(202,plain,
! [C: $i,B: $i,A: $i] :
( ( def_89 @ A @ B )
| ( ( f_ADD_ @ C @ A )
= B )
| ( ( f_SUB_ @ B @ A )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(115,axiom,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ~ ( p__pred_ @ ( f__gt_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
thf(408,plain,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ~ ( p__pred_ @ ( f__gt_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__xnor_ @ A @ B ) @ C )
= ( f__xnor_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).
thf(170,plain,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__xnor_ @ A @ B ) @ C )
= ( f__xnor_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(105,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ( p__pred_ @ ( f__equiv_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_101) ).
thf(385,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ( p__pred_ @ ( f__equiv_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(86,axiom,
p__pred_ @ f__true_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_96) ).
thf(340,plain,
p__pred_ @ f__true_,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ( p_LES_EQU_ @ C @ B )
| ( p_LES_EQU_ @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
thf(184,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ( p_LES_EQU_ @ C @ B )
| ( p_LES_EQU_ @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(88,axiom,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
thf(344,plain,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(93,axiom,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ( p__pred_ @ ( f__lt_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).
thf(357,plain,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ( p__pred_ @ ( f__lt_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__and_ @ A @ B ) @ C )
= ( f__and_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).
thf(157,plain,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__and_ @ A @ B ) @ C )
= ( f__and_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(121,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fstd_DOTstandard_DOTmod_ @ ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) @ n1 ) @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(421,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fstd_DOTstandard_DOTmod_ @ ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) @ n1 ) @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(119,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(416,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(66,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
thf(289,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(76,axiom,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
thf(316,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(54,axiom,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTfull_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
!= fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(261,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTfull_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
!= fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(35,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ( p__pred_ @ ( f__xnor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).
thf(216,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ( p__pred_ @ ( f__xnor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(13,axiom,
f__false_ != f__true_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_98) ).
thf(164,plain,
f__false_ != f__true_,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(129,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ( p__pred_ @ ( f__equal_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_104) ).
thf(443,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( p__pred_ @ ( f__equal_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(78,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( p__pred_ @ ( f__equal_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).
thf(321,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( p__pred_ @ ( f__equal_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(101,axiom,
( n1
= ( f_ADD_ @ n0 @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
thf(376,plain,
( n1
= ( f_ADD_ @ n0 @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( f__index_ @ ( f__others_ @ A ) @ B )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
thf(147,plain,
! [B: $i,A: $i] :
( ( f__index_ @ ( f__others_ @ A ) @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(110,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( B
= ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(397,plain,
! [C: $i,B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( B
= ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(46,axiom,
! [B: $i,A: $i] :
( ( f__length_ @ ( f__concat_ @ A @ B ) )
= ( f_ADD_ @ ( f__length_ @ A ) @ ( f__length_ @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).
thf(243,plain,
! [B: $i,A: $i] :
( ( f__length_ @ ( f__concat_ @ A @ B ) )
= ( f_ADD_ @ ( f__length_ @ A ) @ ( f__length_ @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(123,axiom,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) ) ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
thf(428,plain,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) ) ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(30,axiom,
! [A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ ( f__not_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_126) ).
thf(206,plain,
! [A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ ( f__not_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(67,axiom,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(292,plain,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(132,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__nor_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).
thf(452,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__nor_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(103,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
thf(380,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(127,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__xnor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_122) ).
thf(439,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__xnor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(58,axiom,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
thf(270,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(37,axiom,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__in_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(220,plain,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__in_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(97,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( f_SUB_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n1 ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
thf(366,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( f_SUB_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n1 ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(71,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( B
= ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
thf(302,plain,
! [C: $i,B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( B
= ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(90,axiom,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__in_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
thf(349,plain,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ ( f_SUB_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__in_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(108,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
thf(392,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(69,axiom,
! [A: $i] :
~ ( p_LES_EQU_ @ ( f_ADD_ @ A @ n1 ) @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
thf(297,plain,
! [A: $i] :
~ ( p_LES_EQU_ @ ( f_ADD_ @ A @ n1 ) @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(122,axiom,
! [C: $i,B: $i,A: $i] :
( ( def_89 @ A @ B )
| ( ( f_ADD_ @ C @ A )
!= B )
| ( ( f_SUB_ @ B @ A )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
thf(424,plain,
! [C: $i,B: $i,A: $i] :
( ( def_89 @ A @ B )
| ( ( f_ADD_ @ C @ A )
!= B )
| ( ( f_SUB_ @ B @ A )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(60,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
thf(275,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(41,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) )
| ~ ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(229,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) )
| ~ ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(50,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__nand_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_115) ).
thf(252,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__nand_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(27,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( p_LES_EQU_ @ B @ A )
| ( p_LES_EQU_ @ ( f_ADD_ @ B @ n1 ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
thf(197,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( p_LES_EQU_ @ B @ A )
| ( p_LES_EQU_ @ ( f_ADD_ @ B @ n1 ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(95,axiom,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ( p__pred_ @ ( f__leq_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_130) ).
thf(361,plain,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ( p__pred_ @ ( f__leq_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(79,axiom,
! [A: $i] :
( ( f__length_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__in_ @ A ) )
= ( f_ADD_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(324,plain,
! [A: $i] :
( ( f__length_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__in_ @ A ) )
= ( f_ADD_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(64,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__slice_ @ A @ B @ C ) @ D )
= ( f__index_ @ A @ ( f_ADD_ @ D @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).
thf(285,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__slice_ @ A @ B @ C ) @ D )
= ( f__index_ @ A @ ( f_ADD_ @ D @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ( f__index_ @ ( f__not_ @ A ) @ B )
= ( f__not_ @ ( f__index_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_95) ).
thf(188,plain,
! [B: $i,A: $i] :
( ( f__index_ @ ( f__not_ @ A ) @ B )
= ( f__not_ @ ( f__index_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(4,negated_conjecture,
p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ t_206 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
thf(141,plain,
p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ t_206 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(39,axiom,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ ( f_ADD_ @ A @ n1 ) @ ( f_ADD_ @ B @ n1 ) )
| ( p_LES_EQU_ @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
thf(225,plain,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ ( f_ADD_ @ A @ n1 ) @ ( f_ADD_ @ B @ n1 ) )
| ( p_LES_EQU_ @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(25,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(193,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(33,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ( p__pred_ @ ( f__equiv_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_102) ).
thf(212,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ( p__pred_ @ ( f__equiv_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(81,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fstd_DOTstandard_DOTmod_ @ ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) @ n1 ) @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(328,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fstd_DOTstandard_DOTmod_ @ ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) @ n1 ) @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(52,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__equiv_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_99) ).
thf(256,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__equiv_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(134,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__xor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_111) ).
thf(457,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__xor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(99,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
thf(371,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(44,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fstd_DOTstandard_DOTmod_ @ ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) @ n1 ) @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
thf(237,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fstd_DOTstandard_DOTmod_ @ ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) @ n1 ) @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(56,axiom,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ( p__pred_ @ ( f__gt_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).
thf(266,plain,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ( p__pred_ @ ( f__gt_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(74,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(311,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(117,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(412,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(55,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ( p__pred_ @ ( f__nor_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
thf(264,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ( p__pred_ @ ( f__nor_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(19,axiom,
! [A: $i] : ( p_LES_EQU_ @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
thf(180,plain,
! [A: $i] : ( p_LES_EQU_ @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__xor_ @ A @ B ) @ C )
= ( f__xor_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_91) ).
thf(149,plain,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__xor_ @ A @ B ) @ C )
= ( f__xor_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__nand_ @ A @ B ) @ C )
= ( f__nand_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_92) ).
thf(176,plain,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__nand_ @ A @ B ) @ C )
= ( f__nand_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(112,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ ( f__or_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_109) ).
thf(402,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ ( f__or_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(62,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(281,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(104,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(382,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(84,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
thf(335,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( p_LES_EQU_ @ A @ B )
| ~ ( p_LES_EQU_ @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
thf(181,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( p_LES_EQU_ @ A @ B )
| ~ ( p_LES_EQU_ @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ ( length @ A ) @ B )
| ( ( f__index_ @ ( f__concat_ @ A @ C ) @ B )
= ( f__index_ @ C @ ( f_SUB_ @ B @ ( length @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).
thf(159,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ ( length @ A ) @ B )
| ( ( f__index_ @ ( f__concat_ @ A @ C ) @ B )
= ( f__index_ @ C @ ( f_SUB_ @ B @ ( length @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(114,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ( p__pred_ @ ( f__and_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_107) ).
thf(406,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ( p__pred_ @ ( f__and_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ( A != n0 )
| ( ( f__index_ @ ( f__cons_ @ B @ C ) @ A )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
thf(172,plain,
! [C: $i,B: $i,A: $i] :
( ( A != n0 )
| ( ( f__index_ @ ( f__cons_ @ B @ C ) @ A )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(120,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__or_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_108) ).
thf(419,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__or_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(47,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
thf(245,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(77,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fstd_DOTstandard_DOTmod_ @ ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) @ n1 ) @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(318,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fstd_DOTstandard_DOTmod_ @ ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__level_ @ A ) @ n1 ) @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) )
| ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(125,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
thf(434,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(31,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( p__pred_ @ ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(208,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( p__pred_ @ ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(106,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
thf(387,plain,
! [C: $i,B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(3,negated_conjecture,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ t_206 @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
thf(140,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ t_206 @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(45,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(240,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ~ ( def_89 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
thf(155,plain,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ~ ( def_89 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(136,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(462,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTrd__level_ @ A ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(61,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ~ ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(278,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ~ ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(38,axiom,
! [A: $i] :
( ~ ( p_LES_EQU_ @ A @ ( f_SUB_ @ A @ n1 ) )
| ( p_LES_EQU_ @ A @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
thf(223,plain,
! [A: $i] :
( ~ ( p_LES_EQU_ @ A @ ( f_SUB_ @ A @ n1 ) )
| ( p_LES_EQU_ @ A @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(109,axiom,
! [A: $i] :
( ( f_ADD_ @ A @ n1 )
!= n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
thf(394,plain,
! [A: $i] :
( ( f_ADD_ @ A @ n1 )
!= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(70,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTfull_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
= fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(299,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTfull_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
= fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(124,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ n0 )
| ( ( f__index_ @ ( f__cons_ @ B @ C ) @ A )
= ( f__index_ @ C @ ( f_SUB_ @ A @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_85) ).
thf(431,plain,
! [C: $i,B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ n0 )
| ( ( f__index_ @ ( f__cons_ @ B @ C ) @ A )
= ( f__index_ @ C @ ( f_SUB_ @ A @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(14,axiom,
! [A: $i] :
( ~ ( p_LES_EQU_ @ A @ n0 )
| ( A = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
thf(167,plain,
! [A: $i] :
( ~ ( p_LES_EQU_ @ A @ n0 )
| ( A = n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,axiom,
! [A: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(162,plain,
! [A: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(100,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ ( f__nand_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).
thf(374,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ ( f__nand_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__nor_ @ A @ B ) @ C )
= ( f__nor_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).
thf(145,plain,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__nor_ @ A @ B ) @ C )
= ( f__nor_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(68,axiom,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(295,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(118,axiom,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(414,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(82,axiom,
! [B: $i,A: $i] :
( ( f__length_ @ ( f__cons_ @ A @ B ) )
= ( f_ADD_ @ ( f__length_ @ B ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).
thf(331,plain,
! [B: $i,A: $i] :
( ( f__length_ @ ( f__cons_ @ A @ B ) )
= ( f_ADD_ @ ( f__length_ @ B ) @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(128,axiom,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(441,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(85,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(338,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(94,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(359,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(137,axiom,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(465,plain,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(131,axiom,
~ ( p__pred_ @ f__false_ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_97) ).
thf(450,plain,
~ ( p__pred_ @ f__false_ ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(96,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n1 ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
thf(363,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( f_ADD_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n1 ) )
| ~ ( p_LES_EQU_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) @ n0 )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(36,axiom,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ~ ( p__pred_ @ ( f__geq_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_133) ).
thf(218,plain,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ~ ( p__pred_ @ ( f__geq_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(53,axiom,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTempty_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
= n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(258,plain,
! [A: $i] :
( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTempty_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(107,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__and_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_106) ).
thf(390,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__and_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(22,axiom,
( ( f__length_ @ f__empty_ )
= n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
thf(186,plain,
( ( f__length_ @ f__empty_ )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(2,negated_conjecture,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
thf(139,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(102,axiom,
! [A: $i] :
( ( f__length_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) )
= ( f_ADD_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(378,plain,
! [A: $i] :
( ( f__length_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) )
= ( f_ADD_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(59,axiom,
! [B: $i,A: $i] :
( ( ( f_ADD_ @ A @ n1 )
= B )
| ~ ( p_LES_EQU_ @ B @ ( f_ADD_ @ A @ n1 ) )
| ( p_LES_EQU_ @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
thf(272,plain,
! [B: $i,A: $i] :
( ( ( f_ADD_ @ A @ n1 )
= B )
| ~ ( p_LES_EQU_ @ B @ ( f_ADD_ @ A @ n1 ) )
| ( p_LES_EQU_ @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__xnor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_121) ).
thf(214,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__xnor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(65,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ( p__pred_ @ ( f__xnor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_123) ).
thf(287,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ( p__pred_ @ ( f__xnor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ~ ( def_89 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
thf(151,plain,
! [B: $i,A: $i] :
( ( A != B )
| ~ ( def_89 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(130,axiom,
! [A: $i] :
( ( A
= ( f_ADD_ @ ( y_105 @ A ) @ n1 ) )
| ( A = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
thf(447,plain,
! [A: $i] :
( ( A
= ( f_ADD_ @ ( y_105 @ A ) @ n1 ) )
| ( A = n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(116,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__nor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).
thf(410,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__nor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(24,axiom,
! [C: $i,B: $i,A: $i] :
( ( p_LES_EQU_ @ ( length @ A ) @ B )
| ( ( f__index_ @ ( f__concat_ @ A @ C ) @ B )
= ( f__index_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
thf(190,plain,
! [C: $i,B: $i,A: $i] :
( ( p_LES_EQU_ @ ( length @ A ) @ B )
| ( ( f__index_ @ ( f__concat_ @ A @ C ) @ B )
= ( f__index_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(72,axiom,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
thf(305,plain,
! [B: $i,A: $i] :
( ( ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ ( f_ADD_ @ A @ n1 ) ) @ B )
= ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTdata__out_ @ A ) @ B ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(32,axiom,
! [A: $i] :
( ( f__length_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) )
= ( f_ADD_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(210,plain,
! [A: $i] :
( ( f__length_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) )
= ( f_ADD_ @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(80,axiom,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
thf(326,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(87,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ~ ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(341,plain,
! [C: $i,B: $i,A: $i] :
( ( ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ ( f_ADD_ @ A @ n1 ) ) @ B ) @ C )
= ( f__index_ @ ( f__index_ @ ( fwork_DOTfifo_DOTrtl_DOTmem_ @ A ) @ B ) @ C ) )
| ~ ( p_LES_EQU_ @ n0 @ C )
| ~ ( p_LES_EQU_ @ C @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ n1 ) )
| ~ ( p_LES_EQU_ @ n0 @ B )
| ~ ( p_LES_EQU_ @ B @ ( f_SUB_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ n1 ) )
| ~ ( p_LES_EQU_ @ fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(57,axiom,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ ( f_ADD_ @ A @ n1 ) @ ( f_ADD_ @ B @ n1 ) )
| ~ ( p_LES_EQU_ @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).
thf(268,plain,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ ( f_ADD_ @ A @ n1 ) @ ( f_ADD_ @ B @ n1 ) )
| ~ ( p_LES_EQU_ @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ( p__pred_ @ ( f__xor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).
thf(195,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ B )
| ( p__pred_ @ ( f__xor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(126,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ ( f__nand_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_116) ).
thf(437,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ( p__pred_ @ ( f__nand_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(111,axiom,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__and_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).
thf(400,plain,
! [B: $i,A: $i] :
( ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__and_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(63,axiom,
! [C: $i,B: $i,A: $i] :
( ( f__length_ @ ( f__slice_ @ A @ B @ C ) )
= ( f_SUB_ @ C @ ( f_ADD_ @ B @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
thf(283,plain,
! [C: $i,B: $i,A: $i] :
( ( f__length_ @ ( f__slice_ @ A @ B @ C ) )
= ( f_SUB_ @ C @ ( f_ADD_ @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(135,axiom,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ( A = B )
| ( p_LES_EQU_ @ ( f_ADD_ @ A @ n1 ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).
thf(459,plain,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ( A = B )
| ( p_LES_EQU_ @ ( f_ADD_ @ A @ n1 ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ~ ( p__pred_ @ ( f__leq_ @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
thf(200,plain,
! [B: $i,A: $i] :
( ( p_LES_EQU_ @ A @ B )
| ~ ( p__pred_ @ ( f__leq_ @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__or_ @ A @ B ) @ C )
= ( f__or_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).
thf(178,plain,
! [C: $i,B: $i,A: $i] :
( ( f__index_ @ ( f__or_ @ A @ B ) @ C )
= ( f__or_ @ ( f__index_ @ A @ C ) @ ( f__index_ @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(98,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__equiv_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_100) ).
thf(369,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ B )
| ~ ( p__pred_ @ ( f__equiv_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(92,axiom,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTempty_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
!= n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(354,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTempty_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
!= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(133,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( f_ADD_ @ A @ n1 )
!= ( f_ADD_ @ B @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
thf(454,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( f_ADD_ @ A @ n1 )
!= ( f_ADD_ @ B @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(42,axiom,
! [A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__not_ @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_125) ).
thf(232,plain,
! [A: $i] :
( ~ ( p__pred_ @ A )
| ~ ( p__pred_ @ ( f__not_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(51,axiom,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ B )
| ( p__pred_ @ ( f__xor_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_114) ).
thf(254,plain,
! [B: $i,A: $i] :
( ~ ( p__pred_ @ A )
| ( p__pred_ @ B )
| ( p__pred_ @ ( f__xor_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(40,axiom,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ( p__pred_ @ ( f__geq_ @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_134) ).
thf(227,plain,
! [B: $i,A: $i] :
( ~ ( p_LES_EQU_ @ A @ B )
| ( p__pred_ @ ( f__geq_ @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(468,plain,
$false,
inference(e,[status(thm)],[404,314,138,347,234,352,333,249,308,247,202,408,170,385,340,184,344,357,157,421,416,289,316,261,216,164,443,321,376,147,397,243,428,206,292,452,380,439,270,220,366,302,349,392,297,424,275,229,252,197,361,324,285,188,141,225,193,212,328,256,457,371,237,266,311,412,264,180,149,176,402,281,382,335,181,159,406,172,419,245,318,434,208,387,140,240,155,462,278,223,394,299,431,167,162,374,145,295,414,331,441,338,359,465,450,363,218,258,390,186,139,378,272,214,287,151,447,410,190,305,210,326,341,268,195,437,400,283,459,200,178,369,354,454,232,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HWV026-2 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 19 03:45:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 1.00/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.54/1.06 % [INFO] Parsing done (192ms).
% 1.54/1.07 % [INFO] Running in sequential loop mode.
% 2.04/1.29 % [INFO] eprover registered as external prover.
% 2.04/1.30 % [INFO] cvc4 registered as external prover.
% 2.04/1.30 % [INFO] Scanning for conjecture ...
% 2.34/1.40 % [INFO] Found a conjecture and 133 axioms. Running axiom selection ...
% 2.65/1.47 % [INFO] Axiom selection finished. Selected 133 axioms (removed 0 axioms).
% 2.96/1.56 % [INFO] Problem is propositional (TPTP CNF).
% 2.96/1.57 % [INFO] Type checking passed.
% 2.96/1.58 % [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 ...
% 6.38/2.49 % External prover 'e' found a proof!
% 6.38/2.49 % [INFO] Killing All external provers ...
% 6.38/2.49 % Time passed: 1947ms (effective reasoning time: 1413ms)
% 6.38/2.49 % 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)>
% 6.38/2.49 % Axioms used in derivation (133): axiom_53, axiom_75, axiom_7, axiom_26, axiom_55, axiom_108, axiom_88, axiom_114, axiom_119, axiom_33, axiom_10, axiom_40, axiom_22, axiom_59, axiom_125, axiom_77, axiom_44, axiom_49, axiom_15, axiom_95, axiom_121, axiom_73, axiom_67, axiom_130, axiom_69, axiom_51, axiom_21, axiom_19, axiom_99, axiom_84, axiom_63, axiom_110, axiom_103, axiom_38, axiom_2, axiom_79, axiom_129, axiom_89, axiom_43, axiom_107, axiom_27, axiom_32, axiom_6, axiom_91, axiom_60, axiom_118, axiom_132, axiom_126, axiom_78, axiom_54, axiom_92, axiom_133, axiom_100, axiom_64, axiom_16, axiom_50, axiom_122, axiom_81, axiom_74, axiom_111, axiom_3, axiom_96, axiom_68, axiom_46, axiom_104, axiom_20, axiom_85, axiom_70, axiom_115, axiom_42, axiom_31, axiom_24, axiom_90, axiom_57, axiom_127, axiom_116, axiom_61, axiom_105, axiom_35, axiom_28, axiom_101, axiom_112, axiom_65, axiom_36, axiom_39, axiom_80, axiom_71, axiom_8, axiom_97, axiom_17, axiom_86, axiom_5, axiom_47, axiom_13, axiom_93, axiom_134, axiom_123, axiom_82, axiom_41, axiom_128, axiom_109, axiom_25, axiom_76, axiom_52, axiom_34, axiom_58, axiom_62, axiom_45, axiom_29, axiom_11, axiom_117, axiom_56, axiom_30, axiom_23, axiom_106, axiom_18, axiom_87, axiom_131, axiom_113, axiom_12, axiom_9, axiom_98, axiom_102, axiom_48, axiom_83, axiom_14, axiom_124, axiom_72, axiom_120, axiom_94, axiom_4, axiom_66, axiom_37
% 6.38/2.49 % No. of inferences in proof: 275
% 6.38/2.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1947 ms resp. 1413 ms w/o parsing
% 6.97/2.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.97/2.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------