%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:32:11 AM UTC 2026
% Result : Unsatisfiable 11.19s 4.72s
% Output : Refutation 11.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 138
% Syntax : Number of formulae : 277 ( 61 unt; 0 typ; 0 def)
% Number of atoms : 841 ( 162 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3386 ( 380 ~; 564 |; 0 &;2442 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 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__decl,type,
p__pred_: $i > $o ).
thf(fwork_DOTfifo_DOTrtl_DOTreset__decl,type,
fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).
thf(t_206_decl,type,
t_206: $i ).
thf(fwork_DOTfifo_DOTrtl_DOTrd__decl,type,
fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTwr__decl,type,
fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i ).
thf(p_LES_EQU__decl,type,
p_LES_EQU_: $i > $i > $o ).
thf(fwork_DOTfifo_DOTrtl_DOTfifo__length__decl,type,
fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i ).
thf(fwork_DOTfifo_DOTrtl_DOTlevel__decl,type,
fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).
thf(f_ADD__decl,type,
f_ADD_: $i > $i > $i ).
thf(n1_decl,type,
n1: $i ).
thf(f__index__decl,type,
f__index_: $i > $i > $i ).
thf(f__nor__decl,type,
f__nor_: $i > $i > $i ).
thf(f__others__decl,type,
f__others_: $i > $i ).
thf(f__xor__decl,type,
f__xor_: $i > $i > $i ).
thf(def_89_decl,type,
def_89: $i > $i > $o ).
thf(f__xnor__decl,type,
f__xnor_: $i > $i > $i ).
thf(n0_decl,type,
n0: $i ).
thf(f__cons__decl,type,
f__cons_: $i > $i > $i ).
thf(f__nand__decl,type,
f__nand_: $i > $i > $i ).
thf(f__or__decl,type,
f__or_: $i > $i > $i ).
thf(f__and__decl,type,
f__and_: $i > $i > $i ).
thf(f__false__decl,type,
f__false_: $i ).
thf(f__true__decl,type,
f__true_: $i ).
thf(f__length__decl,type,
f__length_: $i > $i ).
thf(f__empty__decl,type,
f__empty_: $i ).
thf(f__not__decl,type,
f__not_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTrd__error__decl,type,
fwork_DOTfifo_DOTrtl_DOTrd__error_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTint__level__decl,type,
fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).
thf(f__leq__decl,type,
f__leq_: $i > $i > $i ).
thf(f_SUB__decl,type,
f_SUB_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTmem__decl,type,
fwork_DOTfifo_DOTrtl_DOTmem_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTfifo__width__decl,type,
fwork_DOTfifo_DOTrtl_DOTfifo__width_: $i ).
thf(f__equiv__decl,type,
f__equiv_: $i > $i > $i ).
thf(f__geq__decl,type,
f__geq_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTwr__level__decl,type,
fwork_DOTfifo_DOTrtl_DOTwr__level_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTdata__in__decl,type,
fwork_DOTfifo_DOTrtl_DOTdata__in_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTrd__level__decl,type,
fwork_DOTfifo_DOTrtl_DOTrd__level_: $i > $i ).
thf(fstd_DOTstandard_DOTmod__decl,type,
fstd_DOTstandard_DOTmod_: $i > $i > $i ).
thf(f__concat__decl,type,
f__concat_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTempty__decl,type,
fwork_DOTfifo_DOTrtl_DOTempty_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTfull__decl,type,
fwork_DOTfifo_DOTrtl_DOTfull_: $i > $i ).
thf(f__gt__decl,type,
f__gt_: $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTdata__out__decl,type,
fwork_DOTfifo_DOTrtl_DOTdata__out_: $i > $i ).
thf(f__slice__decl,type,
f__slice_: $i > $i > $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTwr__error__decl,type,
fwork_DOTfifo_DOTrtl_DOTwr__error_: $i > $i ).
thf(f__equal__decl,type,
f__equal_: $i > $i > $i ).
thf(f__lt__decl,type,
f__lt_: $i > $i > $i ).
thf(length_decl,type,
length: $i > $i ).
thf(y_105_decl,type,
y_105: $i > $i ).
thf(48,axiom,
! [A: $i] :
( ( ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
!= fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTfull_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(249,plain,
! [A: $i] :
( ( ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
!= fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTfull_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(32,axiom,
! [A: $i] :
( ( n0 @ ( A @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_SUB_ ) @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
thf(211,plain,
! [A: $i] :
( ( n0 @ ( A @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_SUB_ ) @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(217,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(102,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(379,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(56,axiom,
! [B: $i,A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ~ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(269,plain,
! [B: $i,A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ~ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__xnor_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_121) ).
thf(202,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__xnor_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(104,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ( ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( C @ ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
thf(384,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ( ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( C @ ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(3,negated_conjecture,
t_206 @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
thf(142,plain,
t_206 @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__xor_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__xor_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_91) ).
thf(153,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__xor_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__xor_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,axiom,
( ( f__empty_ @ f__length_ )
= n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
thf(174,plain,
( ( f__empty_ @ f__length_ )
= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( A @ ( n1 @ ( B @ f_ADD_ ) @ p_LES_EQU_ ) )
| ~ ( A @ ( B @ p_LES_EQU_ ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
thf(185,plain,
! [B: $i,A: $i] :
( ( A @ ( n1 @ ( B @ f_ADD_ ) @ p_LES_EQU_ ) )
| ~ ( A @ ( B @ p_LES_EQU_ ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(118,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__nor_ ) @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).
thf(417,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__nor_ ) @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(77,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ @ f_ADD_ ) @ fstd_DOTstandard_DOTmod_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(320,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ @ f_ADD_ ) @ fstd_DOTstandard_DOTmod_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(106,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
thf(389,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(87,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(344,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ~ ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(196,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ~ ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(134,axiom,
~ ( f__false_ @ p__pred_ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_97) ).
thf(460,plain,
~ ( f__false_ @ p__pred_ ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(120,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(421,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(79,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__or_ ) @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_110) ).
thf(325,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__or_ ) @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(39,axiom,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(228,plain,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(130,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(448,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(75,axiom,
! [A: $i] : ( A @ ( A @ p_LES_EQU_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_75) ).
thf(316,plain,
! [A: $i] : ( A @ ( A @ p_LES_EQU_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(109,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(397,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(61,axiom,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(280,plain,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(66,axiom,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
thf(293,plain,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(115,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__lt_ ) @ p__pred_ )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
thf(411,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__lt_ ) @ p__pred_ )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(123,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ f_ADD_ ) @ fstd_DOTstandard_DOTmod_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(428,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ f_ADD_ ) @ fstd_DOTstandard_DOTmod_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(73,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTdata__in_ @ f__length_ )
= ( n1 @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ f_ADD_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(312,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTdata__in_ @ f__length_ )
= ( n1 @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ f_ADD_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(30,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__geq_ ) @ p__pred_ )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_133) ).
thf(206,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__geq_ ) @ p__pred_ )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(41,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
thf(233,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(36,axiom,
! [A: $i] :
( ~ ( A @ f__not_ @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_125) ).
thf(220,plain,
! [A: $i] :
( ~ ( A @ f__not_ @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(96,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__equiv_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_100) ).
thf(366,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__equiv_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(69,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
thf(302,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(113,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__and_ ) @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).
thf(407,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__and_ ) @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(59,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__xnor_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_123) ).
thf(275,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__xnor_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(12,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__nand_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__nand_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_92) ).
thf(165,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__nand_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__nand_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(53,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_ADD_ ) @ ( B @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
thf(260,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_ADD_ ) @ ( B @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(89,axiom,
! [A: $i] :
( ( A @ ( n0 @ f_ADD_ ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).
thf(349,plain,
! [A: $i] :
( ( A @ ( n0 @ f_ADD_ ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(137,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__xor_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_111) ).
thf(467,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__xor_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(49,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__nor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).
thf(252,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__nor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(125,axiom,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
thf(435,plain,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(63,axiom,
! [A: $i] :
~ ( n0 @ ( n1 @ ( A @ f_ADD_ ) @ p_LES_EQU_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
thf(285,plain,
! [A: $i] :
~ ( n0 @ ( n1 @ ( A @ f_ADD_ ) @ p_LES_EQU_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(76,axiom,
! [B: $i,A: $i] :
( ( B @ ( n1 @ ( A @ f_ADD_ ) @ p_LES_EQU_ ) )
| ( A = B )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_69) ).
thf(317,plain,
! [B: $i,A: $i] :
( ( B @ ( n1 @ ( A @ f_ADD_ ) @ p_LES_EQU_ ) )
| ( A = B )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__leq_ ) @ p__pred_ )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
thf(188,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__leq_ ) @ p__pred_ )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(92,axiom,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(356,plain,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__and_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__and_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_89) ).
thf(169,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__and_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__and_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(2,negated_conjecture,
~ ( t_206 @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
thf(141,plain,
~ ( t_206 @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(51,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_LES_EQU_ ) )
| ( n1 @ ( B @ f_ADD_ ) @ ( n1 @ ( A @ f_ADD_ ) @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_67) ).
thf(256,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p_LES_EQU_ ) )
| ( n1 @ ( B @ f_ADD_ ) @ ( n1 @ ( A @ f_ADD_ ) @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(38,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ @ f_ADD_ ) @ fstd_DOTstandard_DOTmod_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
thf(225,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ @ f_ADD_ ) @ fstd_DOTstandard_DOTmod_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(85,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ p_LES_EQU_ ) )
| ( B @ ( C @ p_LES_EQU_ ) )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
thf(339,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( A @ p_LES_EQU_ ) )
| ( B @ ( C @ p_LES_EQU_ ) )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(133,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ f__concat_ ) @ f__index_ ) )
= ( B @ ( A @ f__index_ ) ) )
| ( B @ ( A @ length @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_86) ).
thf(457,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ f__concat_ ) @ f__index_ ) )
= ( B @ ( A @ f__index_ ) ) )
| ( B @ ( A @ length @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(98,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__nand_ ) @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).
thf(371,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__nand_ ) @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(237,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(46,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__equiv_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_99) ).
thf(244,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__equiv_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(266,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(94,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ f_ADD_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
thf(360,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ f_ADD_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ f__cons_ ) @ f__index_ ) )
= B )
| ( A != n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
thf(161,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ f__cons_ ) @ f__index_ ) )
= B )
| ( A != n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(128,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__nand_ ) @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_116) ).
thf(444,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__nand_ ) @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__nor_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__nor_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).
thf(149,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__nor_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__nor_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(100,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__length_ )
= ( n1 @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ f_ADD_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(375,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__length_ )
= ( n1 @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ f_ADD_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__xor_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).
thf(180,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__xor_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(67,axiom,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
thf(296,plain,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(17,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__not_ @ f__index_ ) )
= ( B @ ( A @ f__index_ ) @ f__not_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_95) ).
thf(176,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__not_ @ f__index_ ) )
= ( B @ ( A @ f__index_ ) @ f__not_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(121,axiom,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(423,plain,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(111,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ f__concat_ ) @ f__index_ ) )
= ( A @ length @ ( B @ f_SUB_ ) @ ( C @ f__index_ ) ) )
| ~ ( B @ ( A @ length @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_87) ).
thf(402,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ f__concat_ ) @ f__index_ ) )
= ( A @ length @ ( B @ f_SUB_ ) @ ( C @ f__index_ ) ) )
| ~ ( B @ ( A @ length @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(29,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__xnor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).
thf(204,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__xnor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(116,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__and_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_107) ).
thf(413,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__and_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(107,axiom,
! [A: $i] :
( ( n1 @ ( A @ f_ADD_ ) )
!= n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
thf(391,plain,
! [A: $i] :
( ( n1 @ ( A @ f_ADD_ ) )
!= n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(103,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__equiv_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_101) ).
thf(382,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__equiv_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(83,axiom,
f__true_ @ p__pred_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_96) ).
thf(335,plain,
f__true_ @ p__pred_,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__xnor_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__xnor_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).
thf(159,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__xnor_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__xnor_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(119,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(419,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(101,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
thf(377,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(57,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__slice_ ) ) @ f__length_ )
= ( n1 @ ( B @ f_ADD_ ) @ ( C @ f_SUB_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
thf(271,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__slice_ ) ) @ f__length_ )
= ( n1 @ ( B @ f_ADD_ ) @ ( C @ f_SUB_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(31,axiom,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__in_ @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(208,plain,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__in_ @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(105,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__and_ ) @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_106) ).
thf(387,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__and_ ) @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(78,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__cons_ ) @ f__length_ )
= ( n1 @ ( B @ f__length_ @ f_ADD_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).
thf(323,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__cons_ ) @ f__length_ )
= ( n1 @ ( B @ f__length_ @ f_ADD_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(1,negated_conjecture,
~ ( t_206 @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
thf(140,plain,
~ ( t_206 @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(33,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ p_LES_EQU_ ) )
| ~ ( n1 @ ( B @ f_ADD_ ) @ ( n1 @ ( A @ f_ADD_ ) @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_66) ).
thf(213,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ p_LES_EQU_ ) )
| ~ ( n1 @ ( B @ f_ADD_ ) @ ( n1 @ ( A @ f_ADD_ ) @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__nand_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_115) ).
thf(240,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__nand_ ) @ p__pred_ )
| ~ ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ def_89 ) )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
thf(155,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ def_89 ) )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__length_ )
= ( n1 @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_ADD_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(198,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__length_ )
= ( n1 @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_ADD_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(81,axiom,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(330,plain,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(135,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__nor_ ) @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).
thf(462,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__nor_ ) @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(68,axiom,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(299,plain,
! [A: $i] :
( ~ ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(126,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ f__cons_ ) @ f__index_ ) )
= ( n1 @ ( A @ f_SUB_ ) @ ( C @ f__index_ ) ) )
| ( n0 @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_85) ).
thf(438,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ ( B @ f__cons_ ) @ f__index_ ) )
= ( n1 @ ( A @ f_SUB_ ) @ ( C @ f__index_ ) ) )
| ( n0 @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(124,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f_SUB_ ) )
= C )
| ( ( A @ ( C @ f_ADD_ ) )
!= B )
| ( B @ ( A @ def_89 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
thf(431,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f_SUB_ ) )
= C )
| ( ( A @ ( C @ f_ADD_ ) )
!= B )
| ( B @ ( A @ def_89 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(13,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__or_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__or_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_90) ).
thf(167,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f__or_ ) @ f__index_ ) )
= ( C @ ( B @ f__index_ ) @ ( C @ ( A @ f__index_ ) @ f__or_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(108,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( B
= ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ( ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( C @ ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(394,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( B
= ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ( ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( C @ ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(71,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ f_ADD_ ) @ fstd_DOTstandard_DOTmod_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(306,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ f_ADD_ ) @ fstd_DOTstandard_DOTmod_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(122,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__or_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_108) ).
thf(426,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__or_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ f__not_ @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_126) ).
thf(194,plain,
! [A: $i] :
( ( A @ f__not_ @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
thf(327,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(114,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__or_ ) @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_109) ).
thf(409,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__or_ ) @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
thf(263,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(20,axiom,
! [A: $i] :
( ( A = n0 )
| ~ ( n0 @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
thf(182,plain,
! [A: $i] :
( ( A = n0 )
| ~ ( n0 @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(127,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
thf(441,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(84,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ( ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( C @ ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(336,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ( ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( C @ ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(74,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
thf(314,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(129,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__xnor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_122) ).
thf(446,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__xnor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(4,negated_conjecture,
~ ( t_206 @ fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
thf(143,plain,
~ ( t_206 @ fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(40,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__concat_ ) @ f__length_ )
= ( B @ f__length_ @ ( A @ f__length_ @ f_ADD_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_81) ).
thf(231,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__concat_ ) @ f__length_ )
= ( B @ f__length_ @ ( A @ f__length_ @ f_ADD_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(131,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__equal_ ) @ p__pred_ )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_104) ).
thf(450,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__equal_ ) @ p__pred_ )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(95,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ f_SUB_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
thf(363,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ f_SUB_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(97,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
thf(368,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTwr__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(70,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
thf(304,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(52,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
thf(258,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(90,axiom,
! [A: $i] :
( ( ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
!= n0 )
| ( A @ fwork_DOTfifo_DOTrtl_DOTempty_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(351,plain,
! [A: $i] :
( ( ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
!= n0 )
| ( A @ fwork_DOTfifo_DOTrtl_DOTempty_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(15,axiom,
f__false_ != f__true_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_98) ).
thf(171,plain,
f__false_ != f__true_,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,negated_conjecture,
( ( n1 @ ( t_206 @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTlevel_ )
!= ( n1 @ ( t_206 @ fwork_DOTfifo_DOTrtl_DOTlevel_ @ f_ADD_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
thf(139,plain,
( ( n1 @ ( t_206 @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTlevel_ )
!= ( n1 @ ( t_206 @ fwork_DOTfifo_DOTrtl_DOTlevel_ @ f_ADD_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(65,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( B
= ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ( ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( C @ ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
thf(290,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( B
= ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( C @ p_LES_EQU_ ) )
| ~ ( C @ ( n0 @ p_LES_EQU_ ) )
| ( ( C @ ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( C @ ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(88,axiom,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__in_ @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
thf(346,plain,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTwr__level_ @ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ f_SUB_ ) @ f_SUB_ ) @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTmem_ @ f__index_ ) @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__in_ @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(64,axiom,
! [A: $i] :
( ( ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTfull_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(287,plain,
! [A: $i] :
( ( ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTfull_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(42,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__xor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_112) ).
thf(235,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ f__xor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(47,axiom,
! [A: $i] :
( ( ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= n0 )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTempty_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(246,plain,
! [A: $i] :
( ( ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= n0 )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTempty_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__others_ @ f__index_ ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_83) ).
thf(151,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__others_ @ f__index_ ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(112,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTlevel_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(405,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTlevel_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f_SUB_ ) )
!= C )
| ( ( A @ ( C @ f_ADD_ ) )
= B )
| ( B @ ( A @ def_89 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(190,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ f_SUB_ ) )
!= C )
| ( ( A @ ( C @ f_ADD_ ) )
= B )
| ( B @ ( A @ def_89 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(58,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ f__slice_ ) ) @ f__index_ ) )
= ( B @ ( D @ f_ADD_ ) @ ( A @ f__index_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_88) ).
thf(273,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ f__slice_ ) ) @ f__index_ ) )
= ( B @ ( D @ f_ADD_ ) @ ( A @ f__index_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(99,axiom,
( n1
= ( n1 @ ( n0 @ f_ADD_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
thf(373,plain,
( n1
= ( n1 @ ( n0 @ f_ADD_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(45,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__xor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_114) ).
thf(242,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__xor_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ~ ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(86,axiom,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
thf(341,plain,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(93,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__leq_ ) @ p__pred_ )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_130) ).
thf(358,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__leq_ ) @ p__pred_ )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(110,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ def_89 ) )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
thf(400,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ def_89 ) )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(62,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(283,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(117,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__gt_ ) @ p__pred_ )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
thf(415,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__gt_ ) @ p__pred_ )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(136,axiom,
! [B: $i,A: $i] :
( ( ( n1 @ ( A @ f_ADD_ ) )
!= ( n1 @ ( B @ f_ADD_ ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
thf(464,plain,
! [B: $i,A: $i] :
( ( ( n1 @ ( A @ f_ADD_ ) )
!= ( n1 @ ( B @ f_ADD_ ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(82,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( A @ p_LES_EQU_ ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
thf(332,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( A @ p_LES_EQU_ ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(27,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__equiv_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_102) ).
thf(200,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__equiv_ ) @ p__pred_ )
| ( B @ p__pred_ )
| ( A @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(178,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__error_ @ p__pred_ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
thf(277,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTrd__level_ )
= ( A @ fwork_DOTfifo_DOTrtl_DOTrd__level_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(50,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ f__gt_ ) @ p__pred_ )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).
thf(254,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ f__gt_ ) @ p__pred_ )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(138,axiom,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(469,plain,
! [B: $i,A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ~ ( n0 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ p_LES_EQU_ ) )
| ~ ( n1 @ ( fwork_DOTfifo_DOTrtl_DOTfifo__width_ @ f_SUB_ ) @ ( B @ p_LES_EQU_ ) )
| ~ ( B @ ( n0 @ p_LES_EQU_ ) )
| ( ( B @ ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) )
= ( B @ ( A @ fwork_DOTfifo_DOTrtl_DOTdata__out_ @ f__index_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(91,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__lt_ ) @ p__pred_ )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_128) ).
thf(354,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__lt_ ) @ p__pred_ )
| ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(72,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__equal_ ) @ p__pred_ )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).
thf(309,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ f__equal_ ) @ p__pred_ )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ f__geq_ ) @ p__pred_ )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_134) ).
thf(215,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ f__geq_ ) @ p__pred_ )
| ~ ( B @ ( A @ p_LES_EQU_ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ f_ADD_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(222,plain,
! [A: $i] :
( ( A @ fwork_DOTfifo_DOTrtl_DOTreset_ @ p__pred_ )
| ~ ( A @ fwork_DOTfifo_DOTrtl_DOTwr_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTrd_ @ p__pred_ )
| ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ @ p_LES_EQU_ ) )
| ( ( n1 @ ( A @ f_ADD_ ) @ fwork_DOTfifo_DOTrtl_DOTint__level_ )
= ( n1 @ ( A @ fwork_DOTfifo_DOTrtl_DOTint__level_ @ f_ADD_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(132,axiom,
! [A: $i] :
( ( A = n0 )
| ( A
= ( n1 @ ( A @ y_105 @ f_ADD_ ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
thf(454,plain,
! [A: $i] :
( ( A = n0 )
| ( A
= ( n1 @ ( A @ y_105 @ f_ADD_ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(484,plain,
$false,
inference(e,[status(thm)],[249,211,217,379,269,202,384,142,153,174,185,417,320,389,344,196,460,421,325,228,448,316,397,280,293,411,428,312,206,233,220,366,302,407,275,165,260,349,467,252,435,285,317,188,356,169,141,256,225,339,457,371,237,244,266,360,161,444,149,375,180,296,176,423,402,204,413,391,382,335,159,419,377,271,208,387,323,140,213,240,155,198,330,462,299,438,431,167,394,306,426,194,327,409,263,182,441,336,314,446,143,231,450,363,368,304,258,351,171,139,290,346,287,235,246,151,405,190,273,373,242,341,358,400,283,415,464,332,200,178,277,254,469,354,309,215,222,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV013-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.13 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.23/0.51 % Computer : n011.cluster.edu
% 0.23/0.51 % Model : x86_64 x86_64
% 0.23/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.51 % Memory : 8046.5625MB
% 0.23/0.51 % OS : Linux 6.8.0-71-generic
% 0.23/0.51 % CPULimit : 300
% 0.23/0.51 % WCLimit : 300
% 0.23/0.51 % DateTime : Fri Sep 25 16:01:14 UTC 2026
% 0.23/0.52 % CPUTime :
% 0.23/0.52 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.11/1.08 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.86/1.49 % [INFO] Parsing done (409ms).
% 2.30/1.51 % [INFO] Running in sequential loop mode.
% 3.06/2.09 % [INFO] eprover registered as external prover.
% 3.06/2.10 % [INFO] Scanning for conjecture ...
% 3.54/2.32 % [INFO] Found a conjecture (or negated_conjecture) and 133 axioms. Running axiom selection ...
% 3.75/2.50 % [INFO] Axiom selection finished. Selected 133 axioms (removed 0 axioms).
% 4.67/2.70 % [INFO] Problem is propositional (TPTP CNF).
% 4.67/2.72 % [INFO] Type checking passed.
% 4.67/2.73 % [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 ...
% 11.19/4.71 % External prover 'e' found a proof!
% 11.19/4.72 % [INFO] Killing All external provers ...
% 11.19/4.72 % Time passed: 4066ms (effective reasoning time: 3197ms)
% 11.19/4.72 % 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
% 11.19/4.72 % No. of inferences in proof: 277
% 11.19/4.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 4066 ms resp. 3197 ms w/o parsing
% 11.92/4.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.92/4.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------