TSTP Solution File: SYN163-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 12:27:37 EDT 2023
% Result : Unsatisfiable 62.20s 14.19s
% Output : Refutation 62.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 422
% Syntax : Number of formulae : 792 ( 81 unt; 53 typ; 0 def)
% Number of atoms : 2117 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 7373 (1380 ~;1378 |; 0 &;4615 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 90 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 53 usr; 7 con; 0-3 aty)
% Number of variables : 1252 ( 0 ^;1252 !; 0 ?;1252 :)
% Comments :
%------------------------------------------------------------------------------
thf(n5_type,type,
n5: $i > $i > $o ).
thf(e_type,type,
e: $i ).
thf(a_type,type,
a: $i ).
thf(s5_type,type,
s5: $i > $o ).
thf(l4_type,type,
l4: $i > $o ).
thf(r4_type,type,
r4: $i > $o ).
thf(m0_type,type,
m0: $i > $i > $i > $o ).
thf(s1_type,type,
s1: $i > $o ).
thf(p0_type,type,
p0: $i > $i > $o ).
thf(n1_type,type,
n1: $i > $i > $i > $o ).
thf(q3_type,type,
q3: $i > $i > $o ).
thf(s2_type,type,
s2: $i > $o ).
thf(m3_type,type,
m3: $i > $i > $i > $o ).
thf(r2_type,type,
r2: $i > $o ).
thf(k3_type,type,
k3: $i > $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $i > $o ).
thf(d_type,type,
d: $i ).
thf(q0_type,type,
q0: $i > $i > $o ).
thf(k2_type,type,
k2: $i > $i > $o ).
thf(n2_type,type,
n2: $i > $o ).
thf(c_type,type,
c: $i ).
thf(q2_type,type,
q2: $i > $i > $i > $o ).
thf(k0_type,type,
k0: $i > $o ).
thf(p1_type,type,
p1: $i > $i > $i > $o ).
thf(r1_type,type,
r1: $i > $o ).
thf(s0_type,type,
s0: $i > $o ).
thf(q1_type,type,
q1: $i > $i > $i > $o ).
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(l0_type,type,
l0: $i > $o ).
thf(b_type,type,
b: $i ).
thf(m1_type,type,
m1: $i > $i > $i > $o ).
thf(p4_type,type,
p4: $i > $i > $i > $o ).
thf(n3_type,type,
n3: $i > $o ).
thf(p3_type,type,
p3: $i > $i > $i > $o ).
thf(k1_type,type,
k1: $i > $o ).
thf(l3_type,type,
l3: $i > $i > $o ).
thf(l1_type,type,
l1: $i > $i > $o ).
thf(r0_type,type,
r0: $i > $o ).
thf(n0_type,type,
n0: $i > $i > $o ).
thf(n4_type,type,
n4: $i > $i > $o ).
thf(k4_type,type,
k4: $i > $o ).
thf(m2_type,type,
m2: $i > $o ).
thf(q4_type,type,
q4: $i > $i > $o ).
thf(s3_type,type,
s3: $i > $i > $o ).
thf(l5_type,type,
l5: $i > $o ).
thf(l2_type,type,
l2: $i > $i > $o ).
thf(p5_type,type,
p5: $i > $i > $i > $o ).
thf(k5_type,type,
k5: $i > $o ).
thf(s4_type,type,
s4: $i > $o ).
thf(m4_type,type,
m4: $i > $i > $o ).
thf(r5_type,type,
r5: $i > $i > $o ).
thf(q5_type,type,
q5: $i > $i > $o ).
thf(m5_type,type,
m5: $i > $i > $o ).
thf(346,axiom,
( ( n1 @ d @ d @ b )
| ~ ( q0 @ b @ e )
| ~ ( m1 @ d @ e @ e )
| ~ ( k0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_060) ).
thf(1024,plain,
( ( n1 @ d @ d @ b )
| ~ ( q0 @ b @ e )
| ~ ( m1 @ d @ e @ e )
| ~ ( k0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(204,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( l1 @ B @ B )
| ~ ( p0 @ A @ B )
| ~ ( n0 @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_065) ).
thf(760,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( l1 @ B @ B )
| ~ ( p0 @ A @ B )
| ~ ( n0 @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(58,axiom,
! [C: $i,B: $i,A: $i] :
( ( s5 @ A )
| ~ ( k4 @ A )
| ~ ( s3 @ A @ B )
| ~ ( l5 @ C )
| ~ ( s5 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_330) ).
thf(479,plain,
! [C: $i,B: $i,A: $i] :
( ( s5 @ A )
| ~ ( k4 @ A )
| ~ ( s3 @ A @ B )
| ~ ( l5 @ C )
| ~ ( s5 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(274,axiom,
( ( l3 @ d @ c )
| ~ ( s2 @ d )
| ~ ( k3 @ a @ c @ a )
| ~ ( r0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_224) ).
thf(893,plain,
( ( l3 @ d @ c )
| ~ ( s2 @ d )
| ~ ( k3 @ a @ c @ a )
| ~ ( r0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(52,axiom,
q0 @ d @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(468,plain,
q0 @ d @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(300,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( k1 @ B )
| ~ ( k0 @ B )
| ~ ( l2 @ a @ B )
| ~ ( k2 @ A @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_142) ).
thf(941,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( k1 @ B )
| ~ ( k0 @ B )
| ~ ( l2 @ a @ B )
| ~ ( k2 @ A @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(98,axiom,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( q1 @ B @ C @ B )
| ~ ( p2 @ B @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_165) ).
thf(555,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( q1 @ B @ C @ B )
| ~ ( p2 @ B @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(155,axiom,
! [C: $i,B: $i,A: $i] :
( ( q4 @ A @ A )
| ~ ( r1 @ A )
| ~ ( l4 @ B )
| ~ ( q4 @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_296) ).
thf(666,plain,
! [C: $i,B: $i,A: $i] :
( ( q4 @ A @ A )
| ~ ( r1 @ A )
| ~ ( l4 @ B )
| ~ ( q4 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(59,axiom,
! [A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( k0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_068) ).
thf(481,plain,
! [A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( k0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(135,axiom,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B @ A )
| ~ ( q4 @ B @ C )
| ~ ( s1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_320) ).
thf(628,plain,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B @ A )
| ~ ( q4 @ B @ C )
| ~ ( s1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(350,axiom,
! [B: $i,A: $i] :
( ( n2 @ e )
| ~ ( r1 @ b )
| ~ ( r0 @ e )
| ~ ( p1 @ b @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_140) ).
thf(1031,plain,
! [B: $i,A: $i] :
( ( n2 @ e )
| ~ ( r1 @ b )
| ~ ( r0 @ e )
| ~ ( p1 @ b @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(320,axiom,
( ( m1 @ e @ e @ e )
| ~ ( r0 @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_012) ).
thf(977,plain,
( ( m1 @ e @ e @ e )
| ~ ( r0 @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(189,axiom,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ B @ B )
| ~ ( l0 @ C )
| ~ ( m0 @ B @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_015) ).
thf(730,plain,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ B @ B )
| ~ ( l0 @ C )
| ~ ( m0 @ B @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(128,axiom,
! [B: $i,A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( n2 @ A )
| ~ ( m2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_233) ).
thf(614,plain,
! [B: $i,A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( n2 @ A )
| ~ ( m2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(119,axiom,
( ( m2 @ b )
| ~ ( k1 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_136) ).
thf(597,plain,
( ( m2 @ b )
| ~ ( k1 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(82,axiom,
! [B: $i,A: $i] :
( ( n1 @ A @ B @ A )
| ~ ( s0 @ b )
| ~ ( l0 @ A )
| ~ ( p0 @ b @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).
thf(523,plain,
! [B: $i,A: $i] :
( ( n1 @ A @ B @ A )
| ~ ( s0 @ b )
| ~ ( l0 @ A )
| ~ ( p0 @ b @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(205,axiom,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_014) ).
thf(762,plain,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(263,axiom,
! [A: $i] :
( ( p2 @ b @ c @ a )
| ~ ( r0 @ e )
| ~ ( n1 @ c @ A @ A )
| ~ ( p0 @ b @ A )
| ~ ( k2 @ c @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_144) ).
thf(873,plain,
! [A: $i] :
( ( p2 @ b @ c @ a )
| ~ ( r0 @ e )
| ~ ( n1 @ c @ A @ A )
| ~ ( p0 @ b @ A )
| ~ ( k2 @ c @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(42,axiom,
! [C: $i,B: $i,A: $i] :
( ( q2 @ A @ B @ A )
| ~ ( p1 @ A @ A @ C )
| ~ ( n1 @ B @ A @ C )
| ~ ( q2 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_182) ).
thf(449,plain,
! [C: $i,B: $i,A: $i] :
( ( q2 @ A @ B @ A )
| ~ ( p1 @ A @ A @ C )
| ~ ( n1 @ B @ A @ C )
| ~ ( q2 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(37,axiom,
( ( m1 @ c @ c @ c )
| ~ ( l0 @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_020) ).
thf(440,plain,
( ( m1 @ c @ c @ c )
| ~ ( l0 @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(149,axiom,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( l1 @ B @ B )
| ~ ( l3 @ B @ A )
| ~ ( p3 @ C @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_245) ).
thf(655,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( l1 @ B @ B )
| ~ ( l3 @ B @ A )
| ~ ( p3 @ C @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(76,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( k3 @ A @ B @ A )
| ~ ( s1 @ B )
| ~ ( p2 @ C @ B @ D )
| ~ ( n0 @ A @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_192) ).
thf(511,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( k3 @ A @ B @ A )
| ~ ( s1 @ B )
| ~ ( p2 @ C @ B @ D )
| ~ ( n0 @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(355,axiom,
( ( m1 @ b @ b @ b )
| ~ ( q0 @ c @ d )
| ~ ( l1 @ a @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_027) ).
thf(1041,plain,
( ( m1 @ b @ b @ b )
| ~ ( q0 @ c @ d )
| ~ ( l1 @ a @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(256,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( m0 @ B @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_006) ).
thf(861,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( m0 @ B @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(8,axiom,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( n1 @ d @ d @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_153) ).
thf(384,plain,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( n1 @ d @ d @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(87,axiom,
! [C: $i,B: $i,A: $i] :
( ( m3 @ A @ B @ B )
| ~ ( n2 @ A )
| ~ ( m2 @ B )
| ~ ( m3 @ C @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_228) ).
thf(533,plain,
! [C: $i,B: $i,A: $i] :
( ( m3 @ A @ B @ B )
| ~ ( n2 @ A )
| ~ ( m2 @ B )
| ~ ( m3 @ C @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(180,axiom,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( p0 @ C @ B )
| ~ ( r0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_007) ).
thf(715,plain,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( p0 @ C @ B )
| ~ ( r0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(232,axiom,
! [A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( r2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_266) ).
thf(814,plain,
! [A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( r2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(171,axiom,
! [A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( l2 @ A @ A )
| ~ ( n2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_232) ).
thf(698,plain,
! [A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( l2 @ A @ A )
| ~ ( n2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(302,axiom,
! [A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( l0 @ A )
| ~ ( r2 @ e )
| ~ ( r0 @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_211) ).
thf(945,plain,
! [A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( l0 @ A )
| ~ ( r2 @ e )
| ~ ( r0 @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(367,axiom,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( n2 @ A )
| ~ ( k1 @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_174) ).
thf(1063,plain,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( n2 @ A )
| ~ ( k1 @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(294,axiom,
( ( n2 @ c )
| ~ ( l1 @ e @ c )
| ~ ( k0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_139) ).
thf(930,plain,
( ( n2 @ c )
| ~ ( l1 @ e @ c )
| ~ ( k0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(157,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ A @ B @ B )
| ~ ( p1 @ A @ C @ D )
| ~ ( l1 @ C @ D )
| ~ ( p2 @ A @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_146) ).
thf(670,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ A @ B @ B )
| ~ ( p1 @ A @ C @ D )
| ~ ( l1 @ C @ D )
| ~ ( p2 @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(240,axiom,
! [B: $i,A: $i] :
( ( k2 @ A @ A )
| ~ ( q1 @ B @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_129) ).
thf(829,plain,
! [B: $i,A: $i] :
( ( k2 @ A @ A )
| ~ ( q1 @ B @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(216,axiom,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B @ C )
| ~ ( r2 @ B )
| ~ ( k3 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_242) ).
thf(782,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B @ C )
| ~ ( r2 @ B )
| ~ ( k3 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(177,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( q0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_067) ).
thf(709,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( q0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(103,axiom,
! [A: $i] :
( ( q5 @ A @ A )
| ~ ( m4 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_326) ).
thf(565,plain,
! [A: $i] :
( ( q5 @ A @ A )
| ~ ( m4 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(35,axiom,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( s0 @ A )
| ~ ( m0 @ B @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_098) ).
thf(436,plain,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( s0 @ A )
| ~ ( m0 @ B @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(246,axiom,
! [B: $i,A: $i] :
( ( q3 @ A @ A )
| ~ ( m0 @ B @ d @ B )
| ~ ( k1 @ A )
| ~ ( r2 @ d )
| ~ ( q3 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_259) ).
thf(841,plain,
! [B: $i,A: $i] :
( ( q3 @ A @ A )
| ~ ( m0 @ B @ d @ B )
| ~ ( k1 @ A )
| ~ ( r2 @ d )
| ~ ( q3 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( q2 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_250) ).
thf(417,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( q2 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(318,axiom,
( ( p1 @ c @ c @ c )
| ~ ( p0 @ a @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_070) ).
thf(973,plain,
( ( p1 @ c @ c @ c )
| ~ ( p0 @ a @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(270,axiom,
( ( p1 @ d @ d @ b )
| ~ ( p0 @ d @ b )
| ~ ( m0 @ e @ a @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_078) ).
thf(885,plain,
( ( p1 @ d @ d @ b )
| ~ ( p0 @ d @ b )
| ~ ( m0 @ e @ a @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(185,axiom,
! [B: $i,A: $i] : ( m0 @ A @ d @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(724,plain,
! [B: $i,A: $i] : ( m0 @ A @ d @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(182,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ b @ B )
| ~ ( m1 @ A @ B @ b )
| ~ ( k0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_083) ).
thf(719,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ b @ B )
| ~ ( m1 @ A @ B @ b )
| ~ ( k0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( s5 @ A )
| ~ ( l4 @ A )
| ~ ( r4 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_329) ).
thf(372,plain,
! [B: $i,A: $i] :
( ( s5 @ A )
| ~ ( l4 @ A )
| ~ ( r4 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(114,axiom,
! [B: $i,A: $i] :
( ( n1 @ A @ c @ A )
| ~ ( m0 @ B @ A @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_039) ).
thf(587,plain,
! [B: $i,A: $i] :
( ( n1 @ A @ c @ A )
| ~ ( m0 @ B @ A @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(226,axiom,
! [B: $i,A: $i] :
( ( q1 @ A @ B @ B )
| ~ ( p0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_095) ).
thf(802,plain,
! [B: $i,A: $i] :
( ( q1 @ A @ B @ B )
| ~ ( p0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(296,axiom,
! [A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( n0 @ A @ A )
| ~ ( q0 @ a @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_038) ).
thf(934,plain,
! [A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( n0 @ A @ A )
| ~ ( q0 @ a @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(365,axiom,
( ( p2 @ c @ e @ e )
| ~ ( l1 @ c @ b )
| ~ ( q1 @ e @ e @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_143) ).
thf(1059,plain,
( ( p2 @ c @ e @ e )
| ~ ( l1 @ c @ b )
| ~ ( q1 @ e @ e @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(304,axiom,
k0 @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(949,plain,
k0 @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(100,axiom,
! [A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( r0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_057) ).
thf(559,plain,
! [A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( r0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(27,axiom,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ B @ A )
| ~ ( p2 @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_267) ).
thf(421,plain,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ B @ A )
| ~ ( p2 @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(340,axiom,
! [A: $i] :
( ( n1 @ e @ e @ A )
| ~ ( s0 @ b )
| ~ ( m1 @ b @ A @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_041) ).
thf(1013,plain,
! [A: $i] :
( ( n1 @ e @ e @ A )
| ~ ( s0 @ b )
| ~ ( m1 @ b @ A @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(268,axiom,
( ( k4 @ c )
| ~ ( n0 @ c @ d )
| ~ ( q3 @ e @ b )
| ~ ( n3 @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_274) ).
thf(881,plain,
( ( k4 @ c )
| ~ ( n0 @ c @ d )
| ~ ( q3 @ e @ b )
| ~ ( n3 @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(140,axiom,
( ( q1 @ b @ b @ b )
| ~ ( l0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_115) ).
thf(638,plain,
( ( q1 @ b @ b @ b )
| ~ ( l0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(252,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( m1 @ B @ C @ A )
| ~ ( q0 @ C @ D )
| ~ ( l0 @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_081) ).
thf(853,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( m1 @ B @ C @ A )
| ~ ( q0 @ C @ D )
| ~ ( l0 @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(65,axiom,
l0 @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(492,plain,
l0 @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(202,axiom,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_025) ).
thf(756,plain,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(116,axiom,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( s1 @ A )
| ~ ( k1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_167) ).
thf(591,plain,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( s1 @ A )
| ~ ( k1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(4,axiom,
! [A: $i] :
( ( s1 @ A )
| ~ ( p0 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
thf(376,plain,
! [A: $i] :
( ( s1 @ A )
| ~ ( p0 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(144,axiom,
! [A: $i] :
( ( q5 @ A @ A )
| ~ ( l4 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_324) ).
thf(646,plain,
! [A: $i] :
( ( q5 @ A @ A )
| ~ ( l4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(298,axiom,
! [A: $i] :
( ( m1 @ c @ a @ c )
| ~ ( r0 @ e )
| ~ ( m0 @ a @ e @ c )
| ~ ( r0 @ A )
| ~ ( k0 @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_031) ).
thf(937,plain,
! [A: $i] :
( ( m1 @ c @ a @ c )
| ~ ( r0 @ e )
| ~ ( m0 @ a @ e @ c )
| ~ ( r0 @ A )
| ~ ( k0 @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(344,axiom,
! [A: $i] :
( ( n5 @ A @ A )
| ~ ( r4 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_314) ).
thf(1020,plain,
! [A: $i] :
( ( n5 @ A @ A )
| ~ ( r4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(228,axiom,
! [A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( p1 @ A @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
thf(806,plain,
! [A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( p1 @ A @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(314,axiom,
! [A: $i] :
( ( p2 @ A @ e @ A )
| ~ ( n1 @ A @ e @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_170) ).
thf(966,plain,
! [A: $i] :
( ( p2 @ A @ e @ A )
| ~ ( n1 @ A @ e @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(360,axiom,
( ( k2 @ e @ e )
| ~ ( l1 @ e @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_130) ).
thf(1051,plain,
( ( k2 @ e @ e )
| ~ ( l1 @ e @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(56,axiom,
! [B: $i,A: $i] :
( ( l1 @ A @ A )
| ~ ( n0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
thf(475,plain,
! [B: $i,A: $i] :
( ( l1 @ A @ A )
| ~ ( n0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(291,axiom,
( ( n5 @ d @ d )
| ~ ( p4 @ c @ d @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_311) ).
thf(924,plain,
( ( n5 @ d @ d )
| ~ ( p4 @ c @ d @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(207,axiom,
! [A: $i] : ( q0 @ A @ d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(766,plain,
! [A: $i] : ( q0 @ A @ d ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(138,axiom,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( s0 @ B )
| ~ ( r0 @ B )
| ~ ( q0 @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_009) ).
thf(634,plain,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( s0 @ B )
| ~ ( r0 @ B )
| ~ ( q0 @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(191,axiom,
! [B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( m0 @ d @ B @ A )
| ~ ( r3 @ A @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_263) ).
thf(734,plain,
! [B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( m0 @ d @ B @ A )
| ~ ( r3 @ A @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(44,axiom,
! [B: $i,A: $i] :
( ( n4 @ A @ A )
| ~ ( k4 @ B )
| ~ ( m3 @ A @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_284) ).
thf(453,plain,
! [B: $i,A: $i] :
( ( n4 @ A @ A )
| ~ ( k4 @ B )
| ~ ( m3 @ A @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(212,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( s0 @ B )
| ~ ( s0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_072) ).
thf(774,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( s0 @ B )
| ~ ( s0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ B @ C )
| ~ ( k2 @ B @ C )
| ~ ( r2 @ C )
| ~ ( r3 @ C @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_272) ).
thf(396,plain,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ B @ C )
| ~ ( k2 @ B @ C )
| ~ ( r2 @ C )
| ~ ( r3 @ C @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(332,axiom,
( ( p1 @ c @ e @ b )
| ~ ( m0 @ b @ c @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_077) ).
thf(998,plain,
( ( p1 @ c @ e @ b )
| ~ ( m0 @ b @ c @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(31,axiom,
! [C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ b )
| ~ ( l0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_064) ).
thf(428,plain,
! [C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ b )
| ~ ( l0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(250,axiom,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ A @ A @ B )
| ~ ( k0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_114) ).
thf(849,plain,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ A @ A @ B )
| ~ ( k0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(73,axiom,
( ( p2 @ d @ d @ d )
| ~ ( k1 @ d )
| ~ ( s0 @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_151) ).
thf(507,plain,
( ( p2 @ d @ d @ d )
| ~ ( k1 @ d )
| ~ ( s0 @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(84,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ B )
| ~ ( k0 @ A )
| ~ ( q0 @ D @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_042) ).
thf(527,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ B )
| ~ ( k0 @ A )
| ~ ( q0 @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(265,axiom,
! [A: $i] :
( ( p2 @ A @ a @ A )
| ~ ( q1 @ A @ a @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_141) ).
thf(877,plain,
! [A: $i] :
( ( p2 @ A @ a @ A )
| ~ ( q1 @ A @ a @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(168,axiom,
! [A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( r2 @ c )
| ~ ( l1 @ b @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_208) ).
thf(692,plain,
! [A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( r2 @ c )
| ~ ( l1 @ b @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(22,axiom,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_110) ).
thf(411,plain,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(326,axiom,
n0 @ e @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(988,plain,
n0 @ e @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(288,axiom,
n0 @ b @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(920,plain,
n0 @ b @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( q3 @ A @ B )
| ~ ( n1 @ C @ A @ B )
| ~ ( s2 @ A )
| ~ ( q3 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_257) ).
thf(380,plain,
! [C: $i,B: $i,A: $i] :
( ( q3 @ A @ B )
| ~ ( n1 @ C @ A @ B )
| ~ ( s2 @ A )
| ~ ( q3 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(161,axiom,
! [B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( p3 @ B @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_291) ).
thf(678,plain,
! [B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( p3 @ B @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(85,axiom,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B @ B )
| ~ ( l2 @ A @ C )
| ~ ( p5 @ A @ C @ A )
| ~ ( m4 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_319) ).
thf(529,plain,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B @ B )
| ~ ( l2 @ A @ C )
| ~ ( p5 @ A @ C @ A )
| ~ ( m4 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(152,axiom,
! [B: $i,A: $i] :
( ( p4 @ A @ B @ A )
| ~ ( k3 @ A @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_287) ).
thf(661,plain,
! [B: $i,A: $i] :
( ( p4 @ A @ B @ A )
| ~ ( k3 @ A @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(230,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( m3 @ A @ B @ A )
| ~ ( m0 @ C @ C @ B )
| ~ ( l2 @ D @ A )
| ~ ( m0 @ A @ D @ D )
| ~ ( s2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_225) ).
thf(810,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( m3 @ A @ B @ A )
| ~ ( m0 @ C @ C @ B )
| ~ ( l2 @ D @ A )
| ~ ( m0 @ A @ D @ D )
| ~ ( s2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(369,axiom,
m0 @ b @ b @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(1067,plain,
m0 @ b @ b @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(358,axiom,
( ( s2 @ d )
| ~ ( s1 @ a )
| ~ ( s0 @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).
thf(1047,plain,
( ( s2 @ d )
| ~ ( s1 @ a )
| ~ ( s0 @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(224,axiom,
! [A: $i] :
( ( p1 @ d @ d @ A )
| ~ ( s0 @ A )
| ~ ( n1 @ c @ d @ A )
| ~ ( r0 @ d )
| ~ ( n0 @ c @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_089) ).
thf(798,plain,
! [A: $i] :
( ( p1 @ d @ d @ A )
| ~ ( s0 @ A )
| ~ ( n1 @ c @ d @ A )
| ~ ( r0 @ d )
| ~ ( n0 @ c @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(283,axiom,
! [B: $i,A: $i] :
( ( p2 @ e @ A @ B )
| ~ ( r0 @ e )
| ~ ( p1 @ A @ B @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_145) ).
thf(910,plain,
! [B: $i,A: $i] :
( ( p2 @ e @ A @ B )
| ~ ( r0 @ e )
| ~ ( p1 @ A @ B @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(309,axiom,
! [A: $i] :
( ( n1 @ a @ A @ b )
| ~ ( p0 @ A @ d )
| ~ ( p0 @ a @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_053) ).
thf(957,plain,
! [A: $i] :
( ( n1 @ a @ A @ b )
| ~ ( p0 @ A @ d )
| ~ ( p0 @ a @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(197,axiom,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( n0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_100) ).
thf(746,plain,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( n0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(238,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s3 @ A @ B )
| ~ ( q2 @ C @ A @ C )
| ~ ( s2 @ A )
| ~ ( m0 @ C @ D @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).
thf(825,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s3 @ A @ B )
| ~ ( q2 @ C @ A @ C )
| ~ ( s2 @ A )
| ~ ( m0 @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(214,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( k2 @ A @ B )
| ~ ( m1 @ C @ B @ A )
| ~ ( k1 @ D )
| ~ ( k2 @ D @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_127) ).
thf(778,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( k2 @ A @ B )
| ~ ( m1 @ C @ B @ A )
| ~ ( k1 @ D )
| ~ ( k2 @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(235,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( s0 @ A )
| ~ ( q0 @ B @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_017) ).
thf(820,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( s0 @ A )
| ~ ( q0 @ B @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(101,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( r1 @ B )
| ~ ( r0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_173) ).
thf(561,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( r1 @ B )
| ~ ( r0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( q2 @ A @ B @ B )
| ~ ( k0 @ B )
| ~ ( p1 @ A @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).
thf(392,plain,
! [B: $i,A: $i] :
( ( q2 @ A @ B @ B )
| ~ ( k0 @ B )
| ~ ( p1 @ A @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(219,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( q1 @ A @ B @ A )
| ~ ( n0 @ C @ B )
| ~ ( p0 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_092) ).
thf(788,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( q1 @ A @ B @ A )
| ~ ( n0 @ C @ B )
| ~ ( p0 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( n1 @ B @ B @ B )
| ~ ( p0 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_171) ).
thf(407,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( n1 @ B @ B @ B )
| ~ ( p0 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(136,axiom,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( p0 @ b @ d )
| ~ ( s0 @ b )
| ~ ( n1 @ B @ d @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_118) ).
thf(630,plain,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( p0 @ b @ d )
| ~ ( s0 @ b )
| ~ ( n1 @ B @ d @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(286,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( n5 @ A @ B )
| ~ ( q4 @ C @ D )
| ~ ( n4 @ A @ D )
| ~ ( p4 @ E @ E @ B )
| ~ ( n5 @ E @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_307) ).
thf(916,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( n5 @ A @ B )
| ~ ( q4 @ C @ D )
| ~ ( n4 @ A @ D )
| ~ ( p4 @ E @ E @ B )
| ~ ( n5 @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(266,axiom,
q0 @ b @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(879,plain,
q0 @ b @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(112,axiom,
! [A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( s0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_032) ).
thf(583,plain,
! [A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( s0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(272,axiom,
! [B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( q4 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_313) ).
thf(889,plain,
! [B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( q4 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(48,axiom,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ C )
| ~ ( m0 @ C @ A @ B )
| ~ ( n1 @ A @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_048) ).
thf(461,plain,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ C )
| ~ ( m0 @ C @ A @ B )
| ~ ( n1 @ A @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(66,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( m1 @ B @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).
thf(493,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( m1 @ B @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(163,axiom,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( p1 @ B @ C @ A )
| ~ ( l2 @ C @ B )
| ~ ( r3 @ A @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_262) ).
thf(682,plain,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( p1 @ B @ C @ A )
| ~ ( l2 @ C @ B )
| ~ ( r3 @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(96,axiom,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( q0 @ B @ A )
| ~ ( k2 @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_252) ).
thf(551,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( q0 @ B @ A )
| ~ ( k2 @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(249,axiom,
! [A: $i] :
( ( r5 @ A @ A )
| ~ ( k4 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_328) ).
thf(847,plain,
! [A: $i] :
( ( r5 @ A @ A )
| ~ ( k4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(61,axiom,
! [C: $i,B: $i,A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( q0 @ B @ A )
| ~ ( n1 @ B @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_178) ).
thf(484,plain,
! [C: $i,B: $i,A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( q0 @ B @ A )
| ~ ( n1 @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(146,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ A @ B @ B )
| ~ ( r3 @ B @ B @ A )
| ~ ( p4 @ C @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_288) ).
thf(650,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ A @ B @ B )
| ~ ( r3 @ B @ B @ A )
| ~ ( p4 @ C @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(342,axiom,
( ( n2 @ a )
| ~ ( m1 @ b @ a @ e )
| ~ ( k1 @ c )
| ~ ( n1 @ e @ a @ e )
| ~ ( q1 @ c @ a @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_138) ).
thf(1017,plain,
( ( n2 @ a )
| ~ ( m1 @ b @ a @ e )
| ~ ( k1 @ c )
| ~ ( n1 @ e @ a @ e )
| ~ ( q1 @ c @ a @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(186,axiom,
! [B: $i,A: $i] :
( ( q2 @ A @ c @ B )
| ~ ( k1 @ B )
| ~ ( l0 @ c )
| ~ ( l2 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_183) ).
thf(725,plain,
! [B: $i,A: $i] :
( ( q2 @ A @ c @ B )
| ~ ( k1 @ B )
| ~ ( l0 @ c )
| ~ ( l2 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(336,axiom,
( ( q1 @ b @ e @ e )
| ~ ( s0 @ e )
| ~ ( k0 @ b )
| ~ ( l0 @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_094) ).
thf(1006,plain,
( ( q1 @ b @ e @ e )
| ~ ( s0 @ e )
| ~ ( k0 @ b )
| ~ ( l0 @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(10,axiom,
! [A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( n2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_236) ).
thf(388,plain,
! [A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( n2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(117,axiom,
! [C: $i,B: $i,A: $i] :
( ( l2 @ A @ A )
| ~ ( m0 @ B @ A @ C )
| ~ ( m1 @ C @ B @ B )
| ~ ( p0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_134) ).
thf(593,plain,
! [C: $i,B: $i,A: $i] :
( ( l2 @ A @ A )
| ~ ( m0 @ B @ A @ C )
| ~ ( m1 @ C @ B @ B )
| ~ ( p0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(261,axiom,
! [A: $i] :
( ( n5 @ d @ A )
| ~ ( k3 @ d @ A @ a )
| ~ ( n4 @ A @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_317) ).
thf(869,plain,
! [A: $i] :
( ( n5 @ d @ A )
| ~ ( k3 @ d @ A @ a )
| ~ ( n4 @ A @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(69,axiom,
( ( l3 @ c @ c )
| ~ ( k2 @ b @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_223) ).
thf(499,plain,
( ( l3 @ c @ c )
| ~ ( k2 @ b @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(327,axiom,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ B )
| ~ ( q1 @ c @ A @ C )
| ~ ( s1 @ c )
| ~ ( s0 @ e )
| ~ ( p2 @ A @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_158) ).
thf(989,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ B )
| ~ ( q1 @ c @ A @ C )
| ~ ( s1 @ c )
| ~ ( s0 @ e )
| ~ ( p2 @ A @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(254,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ c )
| ~ ( r0 @ c )
| ~ ( s0 @ d )
| ~ ( q0 @ B @ d )
| ~ ( p0 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_019) ).
thf(857,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ c )
| ~ ( r0 @ c )
| ~ ( s0 @ d )
| ~ ( q0 @ B @ d )
| ~ ( p0 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(80,axiom,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ B @ A )
| ~ ( p0 @ A @ A )
| ~ ( p0 @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_044) ).
thf(519,plain,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ B @ A )
| ~ ( p0 @ A @ A )
| ~ ( p0 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(195,axiom,
! [B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m1 @ c @ A @ B )
| ~ ( m0 @ b @ B @ c )
| ~ ( n1 @ B @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_051) ).
thf(742,plain,
! [B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m1 @ c @ A @ B )
| ~ ( m0 @ b @ B @ c )
| ~ ( n1 @ B @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(322,axiom,
! [A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( k0 @ e )
| ~ ( k1 @ A )
| ~ ( l0 @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_079) ).
thf(980,plain,
! [A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( k0 @ e )
| ~ ( k1 @ A )
| ~ ( l0 @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(18,axiom,
( ( n1 @ c @ c @ c )
| ~ ( l0 @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_049) ).
thf(403,plain,
( ( n1 @ c @ c @ c )
| ~ ( l0 @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(54,axiom,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( l1 @ A @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_157) ).
thf(471,plain,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( l1 @ A @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(348,axiom,
! [A: $i] : ( m0 @ a @ A @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(1028,plain,
! [A: $i] : ( m0 @ a @ A @ a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(63,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( n0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).
thf(488,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( n0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(89,axiom,
! [B: $i,A: $i] :
( ( q3 @ A @ A )
| ~ ( p2 @ B @ A @ A )
| ~ ( q3 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_256) ).
thf(537,plain,
! [B: $i,A: $i] :
( ( q3 @ A @ A )
| ~ ( p2 @ B @ A @ A )
| ~ ( q3 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(142,axiom,
! [A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( l2 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_246) ).
thf(642,plain,
! [A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( l2 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(94,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ B @ A )
| ~ ( l0 @ C )
| ~ ( p1 @ B @ D @ A )
| ~ ( s0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_071) ).
thf(547,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ B @ A )
| ~ ( l0 @ C )
| ~ ( p1 @ B @ D @ A )
| ~ ( s0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(278,axiom,
! [B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( n4 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_309) ).
thf(901,plain,
! [B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( n4 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(165,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ A @ B @ B )
| ~ ( m3 @ B @ C @ D )
| ~ ( p2 @ A @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_251) ).
thf(686,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ A @ B @ B )
| ~ ( m3 @ B @ C @ D )
| ~ ( p2 @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(354,axiom,
! [A: $i] :
( ( p3 @ e @ b @ e )
| ~ ( m3 @ e @ A @ e )
| ~ ( q2 @ A @ A @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_254) ).
thf(1039,plain,
! [A: $i] :
( ( p3 @ e @ b @ e )
| ~ ( m3 @ e @ A @ e )
| ~ ( q2 @ A @ A @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(316,axiom,
m0 @ e @ d @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(970,plain,
m0 @ e @ d @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(173,axiom,
! [A: $i] :
( ( l3 @ A @ A )
| ~ ( r2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_218) ).
thf(701,plain,
! [A: $i] :
( ( l3 @ A @ A )
| ~ ( r2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(78,axiom,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( r0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_116) ).
thf(515,plain,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( r0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(193,axiom,
! [A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( k0 @ A )
| ~ ( s0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_061) ).
thf(738,plain,
! [A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( k0 @ A )
| ~ ( s0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(46,axiom,
! [A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( m2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_212) ).
thf(457,plain,
! [A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( m2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(324,axiom,
! [A: $i] :
( ( m3 @ A @ e @ e )
| ~ ( n2 @ e )
| ~ ( p2 @ A @ e @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_234) ).
thf(984,plain,
! [A: $i] :
( ( m3 @ A @ e @ e )
| ~ ( n2 @ e )
| ~ ( p2 @ A @ e @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(183,axiom,
s0 @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(721,plain,
s0 @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(334,axiom,
( ( k3 @ c @ c @ c )
| ~ ( k0 @ a )
| ~ ( r2 @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_198) ).
thf(1002,plain,
( ( k3 @ c @ c @ c )
| ~ ( k0 @ a )
| ~ ( r2 @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(105,axiom,
! [C: $i,B: $i,A: $i] :
( ( n2 @ A )
| ~ ( p1 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
thf(569,plain,
! [C: $i,B: $i,A: $i] :
( ( n2 @ A )
| ~ ( p1 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(132,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( q0 @ B @ C )
| ~ ( s0 @ D )
| ~ ( s2 @ C )
| ~ ( r2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_227) ).
thf(622,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( q0 @ B @ C )
| ~ ( s0 @ D )
| ~ ( s2 @ C )
| ~ ( r2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(244,axiom,
! [A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( n2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_210) ).
thf(837,plain,
! [A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( n2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(71,axiom,
! [B: $i,A: $i] :
( ( p5 @ b @ b @ b )
| ~ ( p4 @ A @ A @ B )
| ~ ( k5 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_321) ).
thf(503,plain,
! [B: $i,A: $i] :
( ( p5 @ b @ b @ b )
| ~ ( p4 @ A @ A @ B )
| ~ ( k5 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(123,axiom,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( q1 @ A @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_154) ).
thf(605,plain,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( q1 @ A @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(221,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( q0 @ B @ C )
| ~ ( k1 @ D )
| ~ ( n1 @ B @ A @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_091) ).
thf(792,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( q0 @ B @ C )
| ~ ( k1 @ D )
| ~ ( n1 @ B @ A @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(289,axiom,
! [C: $i,B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( p4 @ B @ A @ A )
| ~ ( s1 @ A )
| ~ ( p4 @ b @ b @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_316) ).
thf(921,plain,
! [C: $i,B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( p4 @ B @ A @ A )
| ~ ( s1 @ A )
| ~ ( p4 @ b @ b @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(91,axiom,
( ( n1 @ d @ d @ d )
| ~ ( q0 @ d @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_045) ).
thf(541,plain,
( ( n1 @ d @ d @ d )
| ~ ( q0 @ d @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(150,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ B @ C )
| ~ ( m0 @ C @ A @ D )
| ~ ( p1 @ C @ A @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_082) ).
thf(657,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ B @ C )
| ~ ( m0 @ C @ A @ D )
| ~ ( p1 @ C @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(362,axiom,
( ( m1 @ a @ a @ a )
| ~ ( l0 @ a )
| ~ ( s0 @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_023) ).
thf(1054,plain,
( ( m1 @ a @ a @ a )
| ~ ( l0 @ a )
| ~ ( s0 @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(159,axiom,
! [A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( p0 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_043) ).
thf(674,plain,
! [A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( p0 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(347,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ d )
| ~ ( r1 @ a )
| ~ ( m0 @ B @ A @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_149) ).
thf(1026,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ d )
| ~ ( r1 @ a )
| ~ ( m0 @ B @ A @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(307,axiom,
( ( p1 @ a @ b @ a )
| ~ ( r0 @ b )
| ~ ( p1 @ a @ a @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_087) ).
thf(953,plain,
( ( p1 @ a @ b @ a )
| ~ ( r0 @ b )
| ~ ( p1 @ a @ a @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(292,axiom,
( ( n1 @ a @ a @ a )
| ~ ( l0 @ a )
| ~ ( r0 @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_056) ).
thf(926,plain,
( ( n1 @ a @ a @ a )
| ~ ( l0 @ a )
| ~ ( r0 @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( k0 @ A )
| ~ ( l0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_102) ).
thf(398,plain,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( k0 @ A )
| ~ ( l0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(352,axiom,
! [A: $i] :
( ( p3 @ A @ d @ e )
| ~ ( l3 @ b @ e )
| ~ ( p2 @ d @ b @ c )
| ~ ( n3 @ A )
| ~ ( q2 @ A @ d @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_243) ).
thf(1035,plain,
! [A: $i] :
( ( p3 @ A @ d @ e )
| ~ ( l3 @ b @ e )
| ~ ( p2 @ d @ b @ c )
| ~ ( n3 @ A )
| ~ ( q2 @ A @ d @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(211,axiom,
n0 @ c @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(773,plain,
n0 @ c @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(222,axiom,
! [A: $i] :
( ( r3 @ A @ b @ A )
| ~ ( r0 @ A )
| ~ ( p2 @ b @ A @ b )
| ~ ( l2 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_270) ).
thf(794,plain,
! [A: $i] :
( ( r3 @ A @ b @ A )
| ~ ( r0 @ A )
| ~ ( p2 @ b @ A @ b )
| ~ ( l2 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(281,axiom,
! [C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( p2 @ B @ C @ e )
| ~ ( s1 @ B )
| ~ ( k3 @ A @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_200) ).
thf(906,plain,
! [C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( p2 @ B @ C @ e )
| ~ ( s1 @ B )
| ~ ( k3 @ A @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(199,axiom,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( k1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_159) ).
thf(750,plain,
! [A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( k1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(130,axiom,
! [C: $i,B: $i,A: $i] :
( ( l4 @ A )
| ~ ( p3 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_277) ).
thf(618,plain,
! [C: $i,B: $i,A: $i] :
( ( l4 @ A )
| ~ ( p3 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(29,axiom,
r0 @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(425,plain,
r0 @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(107,axiom,
! [A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( n2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_249) ).
thf(573,plain,
! [A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( n2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(39,axiom,
n0 @ d @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(444,plain,
n0 @ d @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(121,axiom,
! [B: $i,A: $i] :
( ( l5 @ A )
| ~ ( q4 @ B @ B )
| ~ ( k1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_302) ).
thf(601,plain,
! [B: $i,A: $i] :
( ( l5 @ A )
| ~ ( q4 @ B @ B )
| ~ ( k1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(77,axiom,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( m3 @ B @ C @ A )
| ~ ( p4 @ A @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_290) ).
thf(513,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( m3 @ B @ C @ A )
| ~ ( p4 @ A @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( p2 @ B @ A @ A )
| ~ ( n3 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_248) ).
thf(430,plain,
! [B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( p2 @ B @ A @ A )
| ~ ( n3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ( l3 @ A @ A )
| ~ ( s2 @ B )
| ~ ( l1 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_220) ).
thf(423,plain,
! [B: $i,A: $i] :
( ( l3 @ A @ A )
| ~ ( s2 @ B )
| ~ ( l1 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(169,axiom,
! [B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( l2 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_265) ).
thf(694,plain,
! [B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( l2 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(190,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( l2 @ A @ A )
| ~ ( p0 @ B @ B )
| ~ ( s1 @ C )
| ~ ( m0 @ D @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).
thf(732,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( l2 @ A @ A )
| ~ ( p0 @ B @ B )
| ~ ( s1 @ C )
| ~ ( m0 @ D @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(247,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ B )
| ~ ( n0 @ d @ A )
| ~ ( k0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_063) ).
thf(843,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ B )
| ~ ( n0 @ d @ A )
| ~ ( k0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(110,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( q0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_013) ).
thf(579,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( q0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(93,axiom,
! [B: $i,A: $i] :
( ( n4 @ A @ B )
| ~ ( p3 @ A @ B @ B )
| ~ ( n4 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_281) ).
thf(545,plain,
! [B: $i,A: $i] :
( ( n4 @ A @ B )
| ~ ( p3 @ A @ B @ B )
| ~ ( n4 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(23,axiom,
! [A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( n2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
thf(413,plain,
! [A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( n2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(280,axiom,
! [A: $i] :
( ( p2 @ b @ c @ c )
| ~ ( p1 @ A @ b @ b )
| ~ ( n1 @ e @ e @ A )
| ~ ( q1 @ e @ c @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_162) ).
thf(904,plain,
! [A: $i] :
( ( p2 @ b @ c @ c )
| ~ ( p1 @ A @ b @ b )
| ~ ( n1 @ e @ e @ A )
| ~ ( q1 @ e @ c @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(319,axiom,
! [A: $i] :
( ( q1 @ e @ A @ A )
| ~ ( m0 @ A @ d @ A )
| ~ ( m0 @ e @ d @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_107) ).
thf(975,plain,
! [A: $i] :
( ( q1 @ e @ A @ A )
| ~ ( m0 @ A @ d @ A )
| ~ ( m0 @ e @ d @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(264,axiom,
! [B: $i,A: $i] :
( ( l2 @ A @ B )
| ~ ( s1 @ A )
| ~ ( n0 @ e @ B )
| ~ ( l2 @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_131) ).
thf(875,plain,
! [B: $i,A: $i] :
( ( l2 @ A @ B )
| ~ ( s1 @ A )
| ~ ( n0 @ e @ B )
| ~ ( l2 @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(109,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ A @ B @ C )
| ~ ( q2 @ D @ d @ A )
| ~ ( k2 @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_241) ).
thf(577,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ A @ B @ C )
| ~ ( q2 @ D @ d @ A )
| ~ ( k2 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(178,axiom,
! [C: $i,B: $i,A: $i] :
( ( q3 @ A @ B )
| ~ ( q2 @ C @ A @ B )
| ~ ( n0 @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
thf(711,plain,
! [C: $i,B: $i,A: $i] :
( ( q3 @ A @ B )
| ~ ( q2 @ C @ A @ B )
| ~ ( n0 @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( m3 @ A @ A @ B )
| ~ ( r2 @ B )
| ~ ( k3 @ A @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_235) ).
thf(382,plain,
! [B: $i,A: $i] :
( ( m3 @ A @ A @ B )
| ~ ( r2 @ B )
| ~ ( k3 @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(126,axiom,
( ( p1 @ b @ b @ b )
| ~ ( p1 @ b @ b @ b )
| ~ ( s0 @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_076) ).
thf(611,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(179,axiom,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ B @ A )
| ~ ( p0 @ C @ A )
| ~ ( l0 @ B )
| ~ ( r0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_037) ).
thf(713,plain,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ B @ A )
| ~ ( p0 @ C @ A )
| ~ ( l0 @ B )
| ~ ( r0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(364,axiom,
m0 @ e @ b @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(1058,plain,
m0 @ e @ b @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(51,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( n0 @ B @ B )
| ~ ( l0 @ C )
| ~ ( n1 @ B @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_080) ).
thf(466,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( n0 @ B @ B )
| ~ ( l0 @ C )
| ~ ( n1 @ B @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(227,axiom,
! [A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( s2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_264) ).
thf(804,plain,
! [A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( s2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(303,axiom,
! [A: $i] :
( ( r3 @ a @ a @ e )
| ~ ( k2 @ a @ a )
| ~ ( q2 @ A @ e @ A )
| ~ ( m2 @ b )
| ~ ( m3 @ a @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_269) ).
thf(947,plain,
! [A: $i] :
( ( r3 @ a @ a @ e )
| ~ ( k2 @ a @ a )
| ~ ( q2 @ A @ e @ A )
| ~ ( m2 @ b )
| ~ ( m3 @ a @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(158,axiom,
! [C: $i,B: $i,A: $i] :
( ( l3 @ A @ A )
| ~ ( p1 @ A @ A @ B )
| ~ ( p2 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_216) ).
thf(672,plain,
! [C: $i,B: $i,A: $i] :
( ( l3 @ A @ A )
| ~ ( p1 @ A @ A @ B )
| ~ ( p2 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(40,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ B )
| ~ ( k0 @ A )
| ~ ( n0 @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_011) ).
thf(445,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ B )
| ~ ( k0 @ A )
| ~ ( n0 @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(297,axiom,
n0 @ a @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(936,plain,
n0 @ a @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(241,axiom,
( ( p3 @ b @ c @ b )
| ~ ( k2 @ c @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_253) ).
thf(831,plain,
( ( p3 @ b @ c @ b )
| ~ ( k2 @ c @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(217,axiom,
( ( m3 @ c @ b @ d )
| ~ ( l1 @ d @ b )
| ~ ( m2 @ d )
| ~ ( q2 @ b @ c @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_230) ).
thf(784,plain,
( ( m3 @ c @ b @ d )
| ~ ( l1 @ d @ b )
| ~ ( m2 @ d )
| ~ ( q2 @ b @ c @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(192,axiom,
! [C: $i,B: $i,A: $i] :
( ( m5 @ A @ B )
| ~ ( r0 @ A )
| ~ ( p4 @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_303) ).
thf(736,plain,
! [C: $i,B: $i,A: $i] :
( ( m5 @ A @ B )
| ~ ( r0 @ A )
| ~ ( p4 @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(331,axiom,
! [C: $i,B: $i,A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( k2 @ B @ C )
| ~ ( m3 @ A @ C @ A )
| ~ ( n0 @ C @ a )
| ~ ( l2 @ a @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_226) ).
thf(996,plain,
! [C: $i,B: $i,A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( k2 @ B @ C )
| ~ ( m3 @ A @ C @ A )
| ~ ( n0 @ C @ a )
| ~ ( l2 @ a @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(129,axiom,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m0 @ B @ B @ B )
| ~ ( k1 @ A )
| ~ ( s0 @ A )
| ~ ( p0 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_052) ).
thf(616,plain,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m0 @ B @ B @ B )
| ~ ( k1 @ A )
| ~ ( s0 @ A )
| ~ ( p0 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(120,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ B )
| ~ ( p1 @ B @ C @ A )
| ~ ( m2 @ D )
| ~ ( m2 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_201) ).
thf(599,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ B )
| ~ ( p1 @ B @ C @ A )
| ~ ( m2 @ D )
| ~ ( m2 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(257,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ B )
| ~ ( p0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_069) ).
thf(863,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ B )
| ~ ( p0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(206,axiom,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( s0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_112) ).
thf(764,plain,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( s0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(321,axiom,
r0 @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(979,plain,
r0 @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(339,axiom,
! [B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( m0 @ B @ A @ B )
| ~ ( n5 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_308) ).
thf(1011,plain,
! [B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( m0 @ B @ A @ B )
| ~ ( n5 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ A @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_122) ).
thf(419,plain,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(43,axiom,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ B )
| ~ ( p0 @ C @ C )
| ~ ( q0 @ B @ A )
| ~ ( k1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_109) ).
thf(451,plain,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ B )
| ~ ( p0 @ C @ C )
| ~ ( q0 @ B @ A )
| ~ ( k1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(104,axiom,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( s0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_097) ).
thf(567,plain,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( s0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(74,axiom,
! [A: $i] : ( p0 @ b @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(509,plain,
! [A: $i] : ( p0 @ b @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(267,axiom,
m0 @ c @ b @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(880,plain,
m0 @ c @ b @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(356,axiom,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ a @ B )
| ~ ( m0 @ a @ C @ a )
| ~ ( q0 @ A @ B )
| ~ ( m1 @ B @ c @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_024) ).
thf(1043,plain,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ a @ B )
| ~ ( m0 @ a @ C @ a )
| ~ ( q0 @ A @ B )
| ~ ( m1 @ B @ c @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( m0 @ b @ B @ b )
| ~ ( l1 @ A @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_084) ).
thf(434,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( m0 @ b @ B @ b )
| ~ ( l1 @ A @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(57,axiom,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( p0 @ B @ C )
| ~ ( p1 @ A @ b @ b )
| ~ ( q0 @ b @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_108) ).
thf(477,plain,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( p0 @ B @ C )
| ~ ( p1 @ A @ b @ b )
| ~ ( q0 @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(203,axiom,
! [B: $i,A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( q1 @ B @ c @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_184) ).
thf(758,plain,
! [B: $i,A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( q1 @ B @ c @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(88,axiom,
! [B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( p2 @ B @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_205) ).
thf(535,plain,
! [B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( p2 @ B @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(233,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ c )
| ~ ( n0 @ B @ B )
| ~ ( l1 @ c @ c )
| ~ ( p0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_010) ).
thf(816,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ c )
| ~ ( n0 @ B @ B )
| ~ ( l1 @ c @ c )
| ~ ( p0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(125,axiom,
! [A: $i] :
( ( r2 @ A )
| ~ ( r1 @ A )
| ~ ( l0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_188) ).
thf(609,plain,
! [A: $i] :
( ( r2 @ A )
| ~ ( r1 @ A )
| ~ ( l0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(60,axiom,
s0 @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(483,plain,
s0 @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(172,axiom,
n0 @ d @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(700,plain,
n0 @ d @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(313,axiom,
( ( k3 @ d @ d @ d )
| ~ ( p1 @ a @ d @ b )
| ~ ( r2 @ a )
| ~ ( l2 @ e @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_203) ).
thf(964,plain,
( ( k3 @ d @ d @ d )
| ~ ( p1 @ a @ d @ b )
| ~ ( r2 @ a )
| ~ ( l2 @ e @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(134,axiom,
! [C: $i,B: $i,A: $i] :
( ( n3 @ A )
| ~ ( p2 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
thf(626,plain,
! [C: $i,B: $i,A: $i] :
( ( n3 @ A )
| ~ ( p2 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(209,axiom,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( q1 @ B @ B @ B )
| ~ ( p1 @ A @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_169) ).
thf(769,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( q1 @ B @ B @ B )
| ~ ( p1 @ A @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(156,axiom,
! [B: $i,A: $i] :
( ( p5 @ A @ A @ B )
| ~ ( s4 @ B )
| ~ ( l2 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_318) ).
thf(668,plain,
! [B: $i,A: $i] :
( ( p5 @ A @ A @ B )
| ~ ( s4 @ B )
| ~ ( l2 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(349,axiom,
( ( m1 @ e @ e @ e )
| ~ ( s0 @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_022) ).
thf(1029,plain,
( ( m1 @ e @ e @ e )
| ~ ( s0 @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(275,axiom,
! [B: $i,A: $i] :
( ( k4 @ e )
| ~ ( q3 @ A @ A )
| ~ ( q1 @ a @ a @ B )
| ~ ( r3 @ A @ e @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_276) ).
thf(895,plain,
! [B: $i,A: $i] :
( ( k4 @ e )
| ~ ( q3 @ A @ A )
| ~ ( q1 @ a @ a @ B )
| ~ ( r3 @ A @ e @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(301,axiom,
( ( p1 @ e @ e @ e )
| ~ ( r0 @ e )
| ~ ( k0 @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_090) ).
thf(943,plain,
( ( p1 @ e @ e @ e )
| ~ ( r0 @ e )
| ~ ( k0 @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(345,axiom,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( m1 @ a @ a @ B )
| ~ ( p2 @ a @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_160) ).
thf(1022,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( m1 @ a @ a @ B )
| ~ ( p2 @ a @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(295,axiom,
( ( k3 @ c @ c @ c )
| ~ ( s2 @ e )
| ~ ( k2 @ c @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_195) ).
thf(932,plain,
( ( k3 @ c @ c @ c )
| ~ ( s2 @ e )
| ~ ( k2 @ c @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(366,axiom,
( ( p2 @ a @ a @ a )
| ~ ( p1 @ e @ e @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_172) ).
thf(1061,plain,
( ( p2 @ a @ a @ a )
| ~ ( p1 @ e @ e @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(310,axiom,
( ( n1 @ d @ e @ e )
| ~ ( p0 @ d @ d )
| ~ ( n1 @ e @ e @ e )
| ~ ( r0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_055) ).
thf(959,plain,
( ( n1 @ d @ e @ e )
| ~ ( p0 @ d @ d )
| ~ ( n1 @ e @ e @ e )
| ~ ( r0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(239,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( l4 @ A )
| ~ ( n0 @ A @ B )
| ~ ( p4 @ C @ D @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_289) ).
thf(827,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( l4 @ A )
| ~ ( n0 @ A @ B )
| ~ ( p4 @ C @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(139,axiom,
! [B: $i,A: $i] :
( ( r3 @ A @ B @ B )
| ~ ( s2 @ B )
| ~ ( l2 @ c @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_260) ).
thf(636,plain,
! [B: $i,A: $i] :
( ( r3 @ A @ B @ B )
| ~ ( s2 @ B )
| ~ ( l2 @ c @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(260,axiom,
n0 @ e @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(868,plain,
n0 @ e @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(215,axiom,
! [C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( p2 @ B @ C @ B )
| ~ ( m1 @ A @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_196) ).
thf(780,plain,
! [C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( p2 @ B @ C @ B )
| ~ ( m1 @ A @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(341,axiom,
! [C: $i,B: $i,A: $i] :
( ( m4 @ A @ B )
| ~ ( l2 @ C @ B )
| ~ ( s3 @ a @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_279) ).
thf(1015,plain,
! [C: $i,B: $i,A: $i] :
( ( m4 @ A @ B )
| ~ ( l2 @ C @ B )
| ~ ( s3 @ a @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(102,axiom,
! [A: $i] :
( ( s2 @ A )
| ~ ( q2 @ b @ A @ b )
| ~ ( s1 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).
thf(563,plain,
! [A: $i] :
( ( s2 @ A )
| ~ ( q2 @ b @ A @ b )
| ~ ( s1 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(333,axiom,
( ( q1 @ d @ d @ d )
| ~ ( k0 @ e )
| ~ ( s0 @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_117) ).
thf(1000,plain,
( ( q1 @ d @ d @ d )
| ~ ( k0 @ e )
| ~ ( s0 @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(251,axiom,
! [B: $i,A: $i] :
( ( m5 @ A @ A )
| ~ ( s4 @ B )
| ~ ( r0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_306) ).
thf(851,plain,
! [B: $i,A: $i] :
( ( m5 @ A @ A )
| ~ ( s4 @ B )
| ~ ( r0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(148,axiom,
! [B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( s1 @ A )
| ~ ( q2 @ d @ B @ d )
| ~ ( s2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_193) ).
thf(653,plain,
! [B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( s1 @ A )
| ~ ( q2 @ d @ B @ d )
| ~ ( s2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(284,axiom,
( ( q1 @ d @ d @ c )
| ~ ( m0 @ c @ b @ a )
| ~ ( m1 @ c @ d @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_111) ).
thf(912,plain,
( ( q1 @ d @ d @ c )
| ~ ( m0 @ c @ b @ a )
| ~ ( m1 @ c @ d @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(81,axiom,
! [C: $i,B: $i,A: $i] :
( ( k5 @ A )
| ~ ( s4 @ B )
| ~ ( r3 @ C @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_300) ).
thf(521,plain,
! [C: $i,B: $i,A: $i] :
( ( k5 @ A )
| ~ ( s4 @ B )
| ~ ( r3 @ C @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(45,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( l0 @ A )
| ~ ( l0 @ B )
| ~ ( p0 @ B @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_026) ).
thf(455,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( l0 @ A )
| ~ ( l0 @ B )
| ~ ( p0 @ B @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(269,axiom,
( ( p1 @ a @ a @ a )
| ~ ( l0 @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
thf(883,plain,
( ( p1 @ a @ a @ a )
| ~ ( l0 @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( r1 @ A )
| ~ ( q0 @ A @ B )
| ~ ( s0 @ d )
| ~ ( q1 @ d @ B @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_124) ).
thf(394,plain,
! [B: $i,A: $i] :
( ( r1 @ A )
| ~ ( q0 @ A @ B )
| ~ ( s0 @ d )
| ~ ( q1 @ d @ B @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(325,axiom,
! [B: $i,A: $i] :
( ( n1 @ A @ e @ e )
| ~ ( m0 @ A @ B @ e )
| ~ ( k1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_040) ).
thf(986,plain,
! [B: $i,A: $i] :
( ( n1 @ A @ e @ e )
| ~ ( m0 @ A @ B @ e )
| ~ ( k1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(72,axiom,
! [A: $i] :
( ( q1 @ A @ b @ b )
| ~ ( s0 @ A )
| ~ ( s0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_119) ).
thf(505,plain,
! [A: $i] :
( ( q1 @ A @ b @ b )
| ~ ( s0 @ A )
| ~ ( s0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(36,axiom,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B @ B )
| ~ ( n1 @ C @ B @ C )
| ~ ( p0 @ A @ B )
| ~ ( p2 @ A @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_152) ).
thf(438,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B @ B )
| ~ ( n1 @ C @ B @ C )
| ~ ( p0 @ A @ B )
| ~ ( p2 @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(55,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( q4 @ A @ B )
| ~ ( k3 @ C @ C @ A )
| ~ ( q2 @ D @ B @ A )
| ~ ( m3 @ D @ E @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_295) ).
thf(473,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( q4 @ A @ B )
| ~ ( k3 @ C @ C @ A )
| ~ ( q2 @ D @ B @ A )
| ~ ( m3 @ D @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(184,axiom,
! [B: $i,A: $i] :
( ( n1 @ A @ d @ B )
| ~ ( p0 @ B @ B )
| ~ ( r0 @ A )
| ~ ( l1 @ B @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_047) ).
thf(722,plain,
! [B: $i,A: $i] :
( ( n1 @ A @ d @ B )
| ~ ( p0 @ B @ B )
| ~ ( r0 @ A )
| ~ ( l1 @ B @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(64,axiom,
( ( s2 @ d )
| ~ ( r1 @ d )
| ~ ( s1 @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_191) ).
thf(490,plain,
( ( s2 @ d )
| ~ ( r1 @ d )
| ~ ( s1 @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m1 @ B @ C @ A )
| ~ ( k0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_046) ).
thf(426,plain,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m1 @ B @ C @ A )
| ~ ( k0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(115,axiom,
( ( k3 @ c @ c @ c )
| ~ ( r2 @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_214) ).
thf(589,plain,
( ( k3 @ c @ c @ c )
| ~ ( r2 @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(86,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( q1 @ A @ B @ A )
| ~ ( l0 @ A )
| ~ ( r0 @ C )
| ~ ( p0 @ D @ A )
| ~ ( q0 @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_104) ).
thf(531,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( q1 @ A @ B @ A )
| ~ ( l0 @ A )
| ~ ( r0 @ C )
| ~ ( p0 @ D @ A )
| ~ ( q0 @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(162,axiom,
! [B: $i,A: $i] :
( ( p4 @ A @ A @ B )
| ~ ( r0 @ A )
| ~ ( r3 @ B @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_285) ).
thf(680,plain,
! [B: $i,A: $i] :
( ( p4 @ A @ A @ B )
| ~ ( r0 @ A )
| ~ ( r3 @ B @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(153,axiom,
p0 @ b @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(663,plain,
p0 @ b @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( l4 @ A )
| ~ ( m0 @ B @ A @ A )
| ~ ( l4 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_278) ).
thf(374,plain,
! [B: $i,A: $i] :
( ( l4 @ A )
| ~ ( m0 @ B @ A @ A )
| ~ ( l4 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(145,axiom,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ B )
| ~ ( s0 @ A )
| ~ ( p0 @ B @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_105) ).
thf(648,plain,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ B )
| ~ ( s0 @ A )
| ~ ( p0 @ B @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(231,axiom,
! [C: $i,B: $i,A: $i] :
( ( q3 @ A @ A )
| ~ ( r2 @ A )
| ~ ( s1 @ B )
| ~ ( l2 @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_258) ).
thf(812,plain,
! [C: $i,B: $i,A: $i] :
( ( q3 @ A @ A )
| ~ ( r2 @ A )
| ~ ( s1 @ B )
| ~ ( l2 @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(299,axiom,
( ( k5 @ b )
| ~ ( s4 @ e )
| ~ ( n1 @ b @ b @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_301) ).
thf(939,plain,
( ( k5 @ b )
| ~ ( s4 @ e )
| ~ ( n1 @ b @ b @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(201,axiom,
! [B: $i,A: $i] :
( ( m4 @ A @ A )
| ~ ( p3 @ B @ B @ B )
| ~ ( m3 @ A @ A @ B )
| ~ ( m4 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_280) ).
thf(754,plain,
! [B: $i,A: $i] :
( ( m4 @ A @ A )
| ~ ( p3 @ B @ B @ B )
| ~ ( m3 @ A @ A @ B )
| ~ ( m4 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(97,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s4 @ A )
| ~ ( p3 @ B @ C @ D )
| ~ ( l1 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
thf(553,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( s4 @ A )
| ~ ( p3 @ B @ C @ D )
| ~ ( l1 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(359,axiom,
( ( q5 @ a @ a )
| ~ ( r4 @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_323) ).
thf(1049,plain,
( ( q5 @ a @ a )
| ~ ( r4 @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(315,axiom,
! [A: $i] :
( ( m5 @ A @ A )
| ~ ( s4 @ A )
| ~ ( m4 @ e @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_305) ).
thf(968,plain,
! [A: $i] :
( ( m5 @ A @ A )
| ~ ( s4 @ A )
| ~ ( m4 @ e @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(237,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( r4 @ A )
| ~ ( n3 @ A )
| ~ ( q3 @ B @ C )
| ~ ( p0 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
thf(823,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( r4 @ A )
| ~ ( n3 @ A )
| ~ ( q3 @ B @ C )
| ~ ( p0 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(213,axiom,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( n2 @ A )
| ~ ( q2 @ B @ C @ A )
| ~ ( s1 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_247) ).
thf(776,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ A @ A )
| ~ ( n2 @ A )
| ~ ( q2 @ B @ C @ A )
| ~ ( s1 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(83,axiom,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( k3 @ B @ C @ C )
| ~ ( n4 @ A @ C )
| ~ ( p1 @ C @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_292) ).
thf(525,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( k3 @ B @ C @ C )
| ~ ( n4 @ A @ C )
| ~ ( p1 @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(99,axiom,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( m1 @ B @ C @ A )
| ~ ( p2 @ B @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_148) ).
thf(557,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( m1 @ B @ C @ A )
| ~ ( p2 @ B @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(253,axiom,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ B @ B )
| ~ ( l0 @ C )
| ~ ( l1 @ C @ A )
| ~ ( n1 @ A @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_054) ).
thf(855,plain,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ B @ B )
| ~ ( l0 @ C )
| ~ ( l1 @ C @ A )
| ~ ( n1 @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(167,axiom,
! [C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( r1 @ A )
| ~ ( p2 @ B @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_213) ).
thf(690,plain,
! [C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( r1 @ A )
| ~ ( p2 @ B @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(141,axiom,
! [B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( l2 @ B @ b )
| ~ ( k1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_197) ).
thf(640,plain,
! [B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( l2 @ B @ b )
| ~ ( k1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(175,axiom,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( q0 @ A @ b )
| ~ ( p1 @ b @ b @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_101) ).
thf(705,plain,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( k1 @ A )
| ~ ( q0 @ A @ b )
| ~ ( p1 @ b @ b @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(176,axiom,
! [B: $i,A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( k1 @ B )
| ~ ( n1 @ A @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_179) ).
thf(707,plain,
! [B: $i,A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( k1 @ B )
| ~ ( n1 @ A @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(271,axiom,
( ( n4 @ e @ e )
| ~ ( l3 @ b @ a )
| ~ ( p3 @ b @ e @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_283) ).
thf(887,plain,
( ( n4 @ e @ e )
| ~ ( l3 @ b @ a )
| ~ ( p3 @ b @ e @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(317,axiom,
( ( q2 @ d @ a @ a )
| ~ ( q2 @ d @ c @ a )
| ~ ( s1 @ c )
| ~ ( q0 @ e @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_180) ).
thf(971,plain,
( ( q2 @ d @ a @ a )
| ~ ( q2 @ d @ c @ a )
| ~ ( s1 @ c )
| ~ ( q0 @ e @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( q3 @ B @ C )
| ~ ( n3 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_286) ).
thf(409,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( q3 @ B @ C )
| ~ ( n3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(329,axiom,
( ( m3 @ b @ b @ b )
| ~ ( l2 @ a @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_239) ).
thf(993,plain,
( ( m3 @ b @ b @ b )
| ~ ( l2 @ a @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(361,axiom,
( ( l2 @ c @ c )
| ~ ( l2 @ c @ c )
| ~ ( l1 @ e @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_132) ).
thf(1053,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(181,axiom,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( p0 @ A @ A )
| ~ ( r1 @ B )
| ~ ( p2 @ C @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_164) ).
thf(717,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( p0 @ A @ A )
| ~ ( r1 @ B )
| ~ ( p2 @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(49,axiom,
p0 @ b @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(463,plain,
p0 @ b @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(113,axiom,
! [A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( l0 @ A )
| ~ ( k0 @ A )
| ~ ( m0 @ A @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_028) ).
thf(585,plain,
! [A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( l0 @ A )
| ~ ( k0 @ A )
| ~ ( m0 @ A @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(1,negated_conjecture,
~ ( n5 @ e @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( n5 @ e @ a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(306,axiom,
! [C: $i,B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( p0 @ A @ B )
| ~ ( m4 @ C @ C )
| ~ ( k5 @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_310) ).
thf(951,plain,
! [C: $i,B: $i,A: $i] :
( ( n5 @ A @ A )
| ~ ( p0 @ A @ B )
| ~ ( m4 @ C @ C )
| ~ ( k5 @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(229,axiom,
! [B: $i,A: $i] :
( ( n1 @ A @ A @ B )
| ~ ( m0 @ b @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_036) ).
thf(808,plain,
! [B: $i,A: $i] :
( ( n1 @ A @ A @ B )
| ~ ( m0 @ b @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(196,axiom,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( q0 @ B @ C )
| ~ ( q0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_018) ).
thf(744,plain,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( q0 @ B @ C )
| ~ ( q0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(174,axiom,
! [A: $i] :
( ( m5 @ A @ A )
| ~ ( k4 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_304) ).
thf(703,plain,
! [A: $i] :
( ( m5 @ A @ A )
| ~ ( k4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(187,axiom,
q0 @ b @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(727,plain,
q0 @ b @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(9,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ B )
| ~ ( q0 @ C @ B )
| ~ ( k2 @ A @ D )
| ~ ( k3 @ B @ E @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_202) ).
thf(386,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ B )
| ~ ( q0 @ C @ B )
| ~ ( k2 @ A @ D )
| ~ ( k3 @ B @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(337,axiom,
! [A: $i] :
( ( n5 @ A @ A )
| ~ ( s1 @ A )
| ~ ( k4 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_315) ).
thf(1008,plain,
! [A: $i] :
( ( n5 @ A @ A )
| ~ ( s1 @ A )
| ~ ( k4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(106,axiom,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( q0 @ B @ B )
| ~ ( m1 @ C @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_033) ).
thf(571,plain,
! [C: $i,B: $i,A: $i] :
( ( m1 @ A @ A @ A )
| ~ ( q0 @ B @ B )
| ~ ( m1 @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(118,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( q2 @ A @ B @ A )
| ~ ( r1 @ B )
| ~ ( m0 @ C @ D @ A )
| ~ ( k0 @ B )
| ~ ( q2 @ B @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_187) ).
thf(595,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( q2 @ A @ B @ A )
| ~ ( r1 @ B )
| ~ ( m0 @ C @ D @ A )
| ~ ( k0 @ B )
| ~ ( q2 @ B @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(127,axiom,
! [B: $i,A: $i] :
( ( k3 @ A @ B @ A )
| ~ ( p2 @ B @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_206) ).
thf(612,plain,
! [B: $i,A: $i] :
( ( k3 @ A @ B @ A )
| ~ ( p2 @ B @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(68,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( l1 @ A @ B )
| ~ ( p0 @ C @ A )
| ~ ( r0 @ D )
| ~ ( m0 @ B @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).
thf(497,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( l1 @ A @ B )
| ~ ( p0 @ C @ A )
| ~ ( r0 @ D )
| ~ ( m0 @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(255,axiom,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( q0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_093) ).
thf(859,plain,
! [B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( q0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(328,axiom,
( ( m3 @ b @ b @ b )
| ~ ( q2 @ a @ b @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_229) ).
thf(991,plain,
( ( m3 @ b @ b @ b )
| ~ ( q2 @ a @ b @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(248,axiom,
! [C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( p0 @ B @ A )
| ~ ( k3 @ A @ A @ A )
| ~ ( k3 @ B @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_207) ).
thf(845,plain,
! [C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( p0 @ B @ A )
| ~ ( k3 @ A @ A @ A )
| ~ ( k3 @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(90,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( q1 @ B @ c @ B )
| ~ ( k2 @ A @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_163) ).
thf(539,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( q1 @ B @ c @ B )
| ~ ( k2 @ A @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(111,axiom,
! [C: $i,B: $i,A: $i] :
( ( l3 @ A @ A )
| ~ ( n2 @ B )
| ~ ( l1 @ C @ A )
| ~ ( l3 @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_219) ).
thf(581,plain,
! [C: $i,B: $i,A: $i] :
( ( l3 @ A @ A )
| ~ ( n2 @ B )
| ~ ( l1 @ C @ A )
| ~ ( l3 @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(67,axiom,
! [A: $i] :
( ( m3 @ A @ c @ A )
| ~ ( s2 @ c )
| ~ ( q2 @ A @ c @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_237) ).
thf(495,plain,
! [A: $i] :
( ( m3 @ A @ c @ A )
| ~ ( s2 @ c )
| ~ ( q2 @ A @ c @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(273,axiom,
( ( m1 @ e @ e @ e )
| ~ ( r0 @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_030) ).
thf(891,plain,
( ( m1 @ e @ e @ e )
| ~ ( r0 @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(338,axiom,
m0 @ a @ e @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(1010,plain,
m0 @ a @ e @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(210,axiom,
! [B: $i,A: $i] :
( ( l3 @ A @ B )
| ~ ( r0 @ A )
| ~ ( p2 @ A @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_215) ).
thf(771,plain,
! [B: $i,A: $i] :
( ( l3 @ A @ B )
| ~ ( r0 @ A )
| ~ ( p2 @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(166,axiom,
! [C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( l0 @ A )
| ~ ( m0 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_086) ).
thf(688,plain,
! [C: $i,B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( l0 @ A )
| ~ ( m0 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(279,axiom,
n0 @ d @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(903,plain,
n0 @ d @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(311,axiom,
! [A: $i] :
( ( p2 @ a @ A @ d )
| ~ ( n0 @ A @ d )
| ~ ( m1 @ a @ A @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_166) ).
thf(961,plain,
! [A: $i] :
( ( p2 @ a @ A @ d )
| ~ ( n0 @ A @ d )
| ~ ( m1 @ a @ A @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(198,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( r0 @ A )
| ~ ( l0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_035) ).
thf(748,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( r0 @ A )
| ~ ( l0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(147,axiom,
q0 @ d @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
thf(652,plain,
q0 @ d @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( m3 @ A @ B @ A )
| ~ ( r2 @ A )
| ~ ( k2 @ c @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_231) ).
thf(390,plain,
! [B: $i,A: $i] :
( ( m3 @ A @ B @ A )
| ~ ( r2 @ A )
| ~ ( k2 @ c @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(137,axiom,
! [B: $i,A: $i] :
( ( k1 @ A )
| ~ ( n0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
thf(632,plain,
! [B: $i,A: $i] :
( ( k1 @ A )
| ~ ( n0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ B @ B )
| ~ ( k0 @ C )
| ~ ( l0 @ A )
| ~ ( q1 @ B @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_099) ).
thf(401,plain,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ B @ B )
| ~ ( k0 @ C )
| ~ ( l0 @ A )
| ~ ( q1 @ B @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(218,axiom,
! [C: $i,B: $i,A: $i] :
( ( s1 @ A )
| ~ ( q0 @ A @ B )
| ~ ( s1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
thf(786,plain,
! [C: $i,B: $i,A: $i] :
( ( s1 @ A )
| ~ ( q0 @ A @ B )
| ~ ( s1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(330,axiom,
m0 @ b @ a @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(995,plain,
m0 @ b @ a @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(312,axiom,
l0 @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(963,plain,
l0 @ a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(79,axiom,
! [A: $i] :
( ( l3 @ A @ A )
| ~ ( n2 @ A )
| ~ ( m2 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_217) ).
thf(517,plain,
! [A: $i] :
( ( l3 @ A @ A )
| ~ ( n2 @ A )
| ~ ( m2 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(75,axiom,
q0 @ d @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(510,plain,
q0 @ d @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(277,axiom,
( ( l3 @ d @ d )
| ~ ( k2 @ a @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_221) ).
thf(899,plain,
( ( l3 @ d @ d )
| ~ ( k2 @ a @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(164,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ B )
| ~ ( p0 @ B @ A )
| ~ ( r0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_074) ).
thf(684,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ B )
| ~ ( p0 @ B @ A )
| ~ ( r0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(95,axiom,
! [B: $i,A: $i] :
( ( k3 @ A @ A @ B )
| ~ ( k2 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_194) ).
thf(549,plain,
! [B: $i,A: $i] :
( ( k3 @ A @ A @ B )
| ~ ( k2 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(357,axiom,
! [A: $i] :
( ( p4 @ c @ c @ A )
| ~ ( n3 @ a )
| ~ ( m3 @ A @ c @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_294) ).
thf(1045,plain,
! [A: $i] :
( ( p4 @ c @ c @ A )
| ~ ( n3 @ a )
| ~ ( m3 @ A @ c @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(225,axiom,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( l1 @ B @ C )
| ~ ( n1 @ C @ C @ C )
| ~ ( r2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_261) ).
thf(800,plain,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( l1 @ B @ C )
| ~ ( n1 @ C @ C @ C )
| ~ ( r2 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(285,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( n0 @ e @ b )
| ~ ( k0 @ b )
| ~ ( k0 @ A )
| ~ ( k1 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_073) ).
thf(914,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( n0 @ e @ b )
| ~ ( k0 @ b )
| ~ ( k0 @ A )
| ~ ( k1 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m0 @ B @ B @ C )
| ~ ( n1 @ B @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_062) ).
thf(378,plain,
! [C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( m0 @ B @ B @ C )
| ~ ( n1 @ B @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(131,axiom,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( s0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_106) ).
thf(620,plain,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( s0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(200,axiom,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( p3 @ B @ A @ C )
| ~ ( r3 @ B @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_271) ).
thf(752,plain,
! [C: $i,B: $i,A: $i] :
( ( r3 @ A @ A @ A )
| ~ ( p3 @ B @ A @ C )
| ~ ( r3 @ B @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(41,axiom,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( q3 @ B @ C )
| ~ ( n4 @ C @ A )
| ~ ( l3 @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_293) ).
thf(447,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ A @ A )
| ~ ( q3 @ B @ C )
| ~ ( n4 @ C @ A )
| ~ ( l3 @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(33,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( l1 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_175) ).
thf(432,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ A @ A )
| ~ ( l1 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(242,axiom,
! [B: $i,A: $i] :
( ( k3 @ A @ B @ B )
| ~ ( l1 @ B @ A )
| ~ ( k3 @ A @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_199) ).
thf(833,plain,
! [B: $i,A: $i] :
( ( k3 @ A @ B @ B )
| ~ ( l1 @ B @ A )
| ~ ( k3 @ A @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(234,axiom,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ B )
| ~ ( r0 @ C )
| ~ ( m1 @ A @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_113) ).
thf(818,plain,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ B )
| ~ ( r0 @ C )
| ~ ( m1 @ A @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( l0 @ A )
| ~ ( k0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).
thf(405,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( l0 @ A )
| ~ ( k0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(220,axiom,
! [C: $i,B: $i,A: $i] :
( ( k4 @ A )
| ~ ( k3 @ B @ B @ B )
| ~ ( n0 @ C @ B )
| ~ ( k4 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_275) ).
thf(790,plain,
! [C: $i,B: $i,A: $i] :
( ( k4 @ A )
| ~ ( k3 @ B @ B @ B )
| ~ ( n0 @ C @ B )
| ~ ( k4 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(259,axiom,
m0 @ e @ d @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(867,plain,
m0 @ e @ d @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(258,axiom,
! [B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( l1 @ B @ A )
| ~ ( n0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_058) ).
thf(865,plain,
! [B: $i,A: $i] :
( ( n1 @ A @ A @ A )
| ~ ( l1 @ B @ A )
| ~ ( n0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(122,axiom,
! [C: $i,B: $i,A: $i] :
( ( m2 @ A )
| ~ ( s0 @ A )
| ~ ( l1 @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_135) ).
thf(603,plain,
! [C: $i,B: $i,A: $i] :
( ( m2 @ A )
| ~ ( s0 @ A )
| ~ ( l1 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(305,axiom,
m0 @ d @ e @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(950,plain,
m0 @ d @ e @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(243,axiom,
! [C: $i,B: $i,A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( n1 @ B @ d @ C )
| ~ ( k1 @ A )
| ~ ( q2 @ C @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_185) ).
thf(835,plain,
! [C: $i,B: $i,A: $i] :
( ( q2 @ A @ A @ A )
| ~ ( n1 @ B @ d @ C )
| ~ ( k1 @ A )
| ~ ( q2 @ C @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(287,axiom,
( ( k3 @ a @ a @ a )
| ~ ( r2 @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_204) ).
thf(918,plain,
( ( k3 @ a @ a @ a )
| ~ ( r2 @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(368,axiom,
( ( n4 @ d @ d )
| ~ ( k3 @ c @ c @ e )
| ~ ( q1 @ d @ d @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_282) ).
thf(1065,plain,
( ( n4 @ d @ d )
| ~ ( k3 @ c @ c @ e )
| ~ ( q1 @ d @ d @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(170,axiom,
! [B: $i,A: $i] :
( ( q5 @ A @ B )
| ~ ( s4 @ A )
| ~ ( m2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_322) ).
thf(696,plain,
! [B: $i,A: $i] :
( ( q5 @ A @ B )
| ~ ( s4 @ A )
| ~ ( m2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(308,axiom,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B @ B )
| ~ ( k1 @ C )
| ~ ( p2 @ e @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_155) ).
thf(955,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B @ B )
| ~ ( k1 @ C )
| ~ ( p2 @ e @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(223,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( n1 @ B @ C @ C )
| ~ ( p0 @ B @ D )
| ~ ( m1 @ A @ C @ B )
| ~ ( q1 @ D @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_096) ).
thf(796,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( n1 @ B @ C @ C )
| ~ ( p0 @ B @ D )
| ~ ( m1 @ A @ C @ B )
| ~ ( q1 @ D @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(276,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ B )
| ~ ( k1 @ a )
| ~ ( k1 @ B )
| ~ ( q0 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_034) ).
thf(897,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ B )
| ~ ( k1 @ a )
| ~ ( k1 @ B )
| ~ ( q0 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(208,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( r3 @ A @ A @ B )
| ~ ( m2 @ B )
| ~ ( m3 @ C @ b @ A )
| ~ ( r3 @ B @ D @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_268) ).
thf(767,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( r3 @ A @ A @ B )
| ~ ( m2 @ B )
| ~ ( m3 @ C @ b @ A )
| ~ ( r3 @ B @ D @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(363,axiom,
( ( p2 @ e @ c @ c )
| ~ ( r1 @ d )
| ~ ( l1 @ e @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_147) ).
thf(1056,plain,
( ( p2 @ e @ c @ c )
| ~ ( r1 @ d )
| ~ ( l1 @ e @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(154,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( m1 @ A @ B @ B )
| ~ ( m1 @ C @ B @ A )
| ~ ( m1 @ C @ D @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_016) ).
thf(664,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( m1 @ A @ B @ B )
| ~ ( m1 @ C @ B @ A )
| ~ ( m1 @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(351,axiom,
( ( n5 @ b @ e )
| ~ ( r3 @ d @ b @ c )
| ~ ( n4 @ b @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_312) ).
thf(1033,plain,
( ( n5 @ b @ e )
| ~ ( r3 @ d @ b @ c )
| ~ ( n4 @ b @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(16,axiom,
k0 @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
thf(400,plain,
k0 @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(293,axiom,
( ( q4 @ b @ b )
| ~ ( k3 @ c @ e @ b )
| ~ ( l1 @ b @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_297) ).
thf(928,plain,
( ( q4 @ b @ b )
| ~ ( k3 @ c @ e @ b )
| ~ ( l1 @ b @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( m0 @ B @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_005) ).
thf(415,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( m0 @ B @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(50,axiom,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ A @ c @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_103) ).
thf(464,plain,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ A @ c @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(108,axiom,
( ( m1 @ b @ b @ b )
| ~ ( l0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_008) ).
thf(575,plain,
( ( m1 @ b @ b @ b )
| ~ ( l0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(343,axiom,
q0 @ a @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
thf(1019,plain,
q0 @ a @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(143,axiom,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( p0 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
thf(644,plain,
! [B: $i,A: $i] :
( ( p1 @ A @ A @ A )
| ~ ( p0 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(47,axiom,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( p0 @ A @ B )
| ~ ( s0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_029) ).
thf(459,plain,
! [B: $i,A: $i] :
( ( m1 @ A @ B @ A )
| ~ ( p0 @ A @ B )
| ~ ( s0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(282,axiom,
( ( p2 @ d @ b @ b )
| ~ ( p1 @ d @ b @ e ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_161) ).
thf(908,plain,
( ( p2 @ d @ b @ b )
| ~ ( p1 @ d @ b @ e ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(236,axiom,
p0 @ c @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(822,plain,
p0 @ c @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(38,axiom,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_121) ).
thf(442,plain,
! [C: $i,B: $i,A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(262,axiom,
( ( p1 @ a @ a @ a )
| ~ ( p0 @ b @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_075) ).
thf(871,plain,
( ( p1 @ a @ a @ a )
| ~ ( p0 @ b @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(70,axiom,
! [B: $i,A: $i] :
( ( l1 @ A @ A )
| ~ ( k1 @ A )
| ~ ( l0 @ B )
| ~ ( l1 @ B @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_004) ).
thf(501,plain,
! [B: $i,A: $i] :
( ( l1 @ A @ A )
| ~ ( k1 @ A )
| ~ ( l0 @ B )
| ~ ( l1 @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(124,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ B )
| ~ ( m0 @ C @ D @ D )
| ~ ( m0 @ B @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_059) ).
thf(607,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( n1 @ A @ A @ B )
| ~ ( m0 @ C @ D @ D )
| ~ ( m0 @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(133,axiom,
! [B: $i,A: $i] :
( ( q2 @ A @ A @ B )
| ~ ( l1 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).
thf(624,plain,
! [B: $i,A: $i] :
( ( q2 @ A @ A @ B )
| ~ ( l1 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(245,axiom,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ c @ A @ A )
| ~ ( r0 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_123) ).
thf(839,plain,
! [A: $i] :
( ( q1 @ A @ A @ A )
| ~ ( m0 @ c @ A @ A )
| ~ ( r0 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(188,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( m2 @ B )
| ~ ( l1 @ C @ D )
| ~ ( s2 @ A )
| ~ ( k3 @ C @ D @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_209) ).
thf(728,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( k3 @ A @ A @ A )
| ~ ( m2 @ B )
| ~ ( l1 @ C @ D )
| ~ ( s2 @ A )
| ~ ( k3 @ C @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(194,axiom,
! [A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( p2 @ A @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_238) ).
thf(740,plain,
! [A: $i] :
( ( m3 @ A @ A @ A )
| ~ ( p2 @ A @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(323,axiom,
! [A: $i] :
( ( k2 @ A @ A )
| ~ ( n1 @ e @ d @ A )
| ~ ( m1 @ A @ e @ A )
| ~ ( q1 @ A @ A @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_128) ).
thf(982,plain,
! [A: $i] :
( ( k2 @ A @ A )
| ~ ( n1 @ e @ d @ A )
| ~ ( m1 @ A @ e @ A )
| ~ ( q1 @ A @ A @ d ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(335,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ e @ B )
| ~ ( n1 @ e @ A @ a )
| ~ ( q1 @ a @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_156) ).
thf(1004,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ e @ B )
| ~ ( n1 @ e @ A @ a )
| ~ ( q1 @ a @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(62,axiom,
! [C: $i,B: $i,A: $i] :
( ( l3 @ A @ A )
| ~ ( k3 @ B @ A @ A )
| ~ ( l2 @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_222) ).
thf(486,plain,
! [C: $i,B: $i,A: $i] :
( ( l3 @ A @ A )
| ~ ( k3 @ B @ A @ A )
| ~ ( l2 @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(53,axiom,
( ( q1 @ b @ b @ b )
| ~ ( r0 @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_120) ).
thf(469,plain,
( ( q1 @ b @ b @ b )
| ~ ( r0 @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(290,axiom,
q0 @ e @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(923,plain,
q0 @ e @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(151,axiom,
! [A: $i] :
( ( q5 @ A @ A )
| ~ ( q4 @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_325) ).
thf(659,plain,
! [A: $i] :
( ( q5 @ A @ A )
| ~ ( q4 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(92,axiom,
! [B: $i,A: $i] :
( ( r5 @ A @ B )
| ~ ( s4 @ A )
| ~ ( k0 @ b )
| ~ ( n3 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_327) ).
thf(543,plain,
! [B: $i,A: $i] :
( ( r5 @ A @ B )
| ~ ( s4 @ A )
| ~ ( k0 @ b )
| ~ ( n3 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(353,axiom,
( ( p2 @ a @ c @ b )
| ~ ( l1 @ e @ c )
| ~ ( l2 @ e @ b )
| ~ ( r1 @ e )
| ~ ( m1 @ d @ a @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_168) ).
thf(1037,plain,
( ( p2 @ a @ c @ b )
| ~ ( l1 @ e @ c )
| ~ ( l2 @ e @ b )
| ~ ( r1 @ e )
| ~ ( m1 @ d @ a @ c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(160,axiom,
! [B: $i,A: $i] :
( ( p2 @ A @ B @ A )
| ~ ( m1 @ B @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).
thf(676,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ B @ A )
| ~ ( m1 @ B @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(19614,plain,
$false,
inference(cvc4,[status(thm)],[1024,760,479,893,468,941,555,666,481,628,1031,977,730,614,597,523,762,873,449,440,655,511,1041,861,384,533,715,814,698,945,1063,930,670,829,782,709,565,436,841,417,973,885,724,719,372,587,802,934,1059,949,559,421,1013,881,638,853,492,756,591,376,646,937,1020,806,966,1051,475,924,766,634,734,453,774,396,998,428,849,507,527,877,692,411,988,920,380,678,529,661,810,1067,1047,798,910,957,746,825,778,820,561,392,788,407,630,916,879,583,889,461,493,682,551,847,484,650,1017,725,1006,388,593,869,499,989,857,519,742,980,403,471,1028,488,537,642,547,901,686,1039,970,701,515,738,457,984,721,1002,569,622,837,503,605,792,921,541,657,1054,674,1026,953,926,398,1035,773,794,906,750,618,425,573,444,601,513,430,423,694,732,843,579,545,413,904,975,875,577,711,382,611,713,1058,466,804,947,672,445,936,831,784,736,996,616,599,863,764,979,1011,419,451,567,509,880,1043,434,477,758,535,816,609,483,700,964,626,769,668,1029,895,943,1022,932,1061,959,827,636,868,780,1015,563,1000,851,653,912,521,455,883,394,986,505,438,473,722,490,426,589,531,680,663,374,648,812,939,754,553,1049,968,823,776,525,557,855,690,640,705,707,887,971,409,993,1053,717,463,585,370,951,808,744,703,727,386,1008,571,595,612,497,859,991,845,539,581,495,891,1010,771,688,903,961,748,652,390,632,401,786,995,963,517,510,899,684,549,1045,800,914,378,620,752,447,432,833,818,405,790,867,865,603,950,835,918,1065,696,955,796,897,767,1056,664,1033,400,928,415,464,575,1019,644,459,908,822,442,871,501,607,624,839,728,740,982,1004,486,469,923,659,543,1037,676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 19:35:24 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.92/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.40/1.04 % [INFO] Parsing done (202ms).
% 1.40/1.05 % [INFO] Running in sequential loop mode.
% 2.21/1.25 % [INFO] eprover registered as external prover.
% 2.21/1.25 % [INFO] cvc4 registered as external prover.
% 2.21/1.26 % [INFO] Scanning for conjecture ...
% 2.54/1.35 % [INFO] Found a conjecture and 368 axioms. Running axiom selection ...
% 2.90/1.44 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 3.32/1.55 % [INFO] Problem is propositional (TPTP CNF).
% 3.32/1.56 % [INFO] Type checking passed.
% 3.32/1.56 % [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 ...
% 62.20/14.19 % External prover 'cvc4' found a proof!
% 62.20/14.19 % [INFO] Killing All external provers ...
% 62.20/14.19 % Time passed: 13669ms (effective reasoning time: 13135ms)
% 62.20/14.19 % 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)>
% 62.20/14.19 % Axioms used in derivation (368): axiom_7, axiom_26, rule_220, rule_161, rule_082, rule_135, rule_056, rule_142, rule_226, rule_231, rule_124, rule_153, rule_207, axiom_33, rule_093, axiom_10, rule_114, rule_294, rule_311, rule_046, rule_243, rule_232, rule_165, rule_146, rule_215, rule_085, axiom_22, rule_131, rule_179, rule_120, rule_319, rule_300, rule_078, rule_157, rule_288, rule_324, rule_327, rule_190, rule_103, rule_067, rule_205, rule_298, rule_237, rule_158, rule_008, rule_089, rule_175, rule_291, rule_259, rule_042, rule_248, rule_071, rule_059, rule_200, rule_276, rule_102, axiom_15, rule_147, rule_060, rule_317, rule_113, rule_063, rule_281, rule_221, rule_254, rule_139, rule_074, rule_328, rule_272, rule_052, rule_128, rule_136, rule_125, axiom_19, rule_283, axiom_21, rule_086, rule_197, rule_198, axiom_38, rule_186, rule_265, rule_210, rule_097, rule_019, rule_242, rule_081, rule_172, rule_229, rule_227, axiom_2, rule_011, rule_115, rule_160, rule_112, rule_299, rule_218, rule_101, rule_187, rule_117, rule_005, rule_076, rule_079, rule_068, rule_241, rule_253, rule_309, axiom_27, rule_194, rule_162, rule_289, rule_129, rule_208, rule_183, rule_264, rule_295, rule_159, axiom_6, rule_275, rule_238, rule_263, rule_306, rule_176, rule_022, rule_092, rule_104, axiom_32, rule_009, rule_047, rule_216, rule_033, rule_148, rule_032, rule_285, rule_057, rule_166, rule_014, rule_016, rule_141, rule_260, rule_152, rule_271, rule_302, rule_003, rule_043, rule_316, rule_048, rule_249, rule_027, axiom_16, rule_284, rule_134, rule_193, rule_182, rule_036, rule_053, rule_145, axiom_3, rule_126, rule_075, rule_106, rule_308, rule_322, rule_199, rule_156, rule_171, rule_064, rule_130, rule_280, rule_098, rule_070, rule_025, rule_123, rule_290, rule_137, axiom_20, rule_087, rule_230, rule_313, rule_107, rule_149, rule_209, rule_240, rule_017, rule_192, axiom_31, rule_188, rule_268, rule_251, rule_195, rule_296, rule_279, rule_099, rule_039, rule_069, axiom_24, rule_040, axiom_1, rule_234, rule_167, rule_119, rule_320, rule_246, rule_224, rule_173, rule_088, rule_031, rule_282, rule_305, rule_111, rule_315, rule_184, rule_212, axiom_35, axiom_28, rule_105, rule_177, rule_058, rule_257, rule_044, rule_330, rule_100, rule_219, rule_020, rule_006, rule_116, rule_163, rule_262, rule_170, rule_138, rule_122, rule_286, rule_155, rule_035, rule_301, axiom_8, axiom_36, rule_267, rule_091, rule_325, rule_307, rule_002, rule_239, rule_256, rule_274, rule_054, axiom_17, rule_021, rule_144, rule_127, rule_024, rule_213, rule_013, rule_133, rule_080, rule_151, rule_065, rule_312, rule_252, rule_108, rule_223, rule_235, rule_028, rule_010, rule_066, rule_245, rule_321, rule_278, rule_077, rule_217, axiom_13, rule_178, rule_202, rule_140, rule_228, rule_118, rule_181, axiom_5, rule_029, rule_214, rule_062, rule_038, rule_030, axiom_25, rule_206, rule_236, rule_051, rule_287, rule_026, rule_185, rule_083, axiom_34, rule_037, rule_174, rule_310, rule_045, rule_073, rule_323, rule_018, rule_094, rule_261, rule_233, rule_191, axiom_29, axiom_11, rule_049, rule_015, rule_055, rule_292, rule_204, rule_196, rule_318, rule_270, rule_303, rule_189, axiom_23, rule_007, rule_250, rule_110, rule_329, rule_314, axiom_30, rule_090, rule_225, rule_004, rule_169, rule_247, axiom_18, rule_096, rule_132, rule_061, rule_121, rule_201, axiom_12, rule_211, rule_326, rule_168, rule_180, rule_266, rule_012, axiom_9, rule_109, rule_293, rule_269, rule_273, rule_154, rule_304, axiom_14, rule_072, rule_244, rule_034, rule_095, rule_164, rule_255, rule_023, rule_203, rule_222, rule_143, rule_297, rule_001, rule_150, rule_084, rule_277, axiom_4, axiom_37, rule_041, rule_258, rule_050
% 62.20/14.19 % No. of inferences in proof: 739
% 62.20/14.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 13669 ms resp. 13135 ms w/o parsing
% 62.40/14.28 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 62.40/14.28 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------