TSTP Solution File: GEO497+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:11:03 EDT 2023
% Result : Theorem 20.12s 4.46s
% Output : Refutation 20.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 114
% Syntax : Number of formulae : 273 ( 59 unt; 29 typ; 0 def)
% Number of atoms : 841 ( 159 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 3835 ( 501 ~; 506 |; 91 &;2737 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 14 con; 0-8 aty)
% Number of variables : 785 ( 0 ^; 782 !; 3 ?; 785 :)
% Comments :
%------------------------------------------------------------------------------
thf(sameside_type,type,
sameside: $i > $i > $i > $o ).
thf(insert_type,type,
insert: $i > $i > $i > $i > $i ).
thf(s_e_type,type,
s_e: $i > $i > $i > $i > $o ).
thf(s_t_type,type,
s_t: $i > $i > $i > $o ).
thf(ip_type,type,
ip: $i > $i > $i > $i > $i > $i ).
thf(s_col_type,type,
s_col: $i > $i > $i > $o ).
thf(ext_type,type,
ext: $i > $i > $i > $i > $i ).
thf(alpha_type,type,
alpha: $i ).
thf(gamma_type,type,
gamma: $i ).
thf(s_e3_type,type,
s_e3: $i > $i > $i > $i > $i > $i > $o ).
thf(beta_type,type,
beta: $i ).
thf(le_type,type,
le: $i > $i > $i > $i > $o ).
thf(crossbar_type,type,
crossbar: $i > $i > $i > $i > $i > $i > $i ).
thf(insert5_type,type,
insert5: $i > $i > $i > $i > $i > $i ).
thf(s_ifs_type,type,
s_ifs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(s_fs_type,type,
s_fs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(s_afs_type,type,
s_afs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(c63_type,type,
c63: $i > $i > $i > $i ).
thf(ins_type,type,
ins: $i > $i > $i > $i > $i ).
thf(sk1_type,type,
sk1: $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i ).
thf(sk8_type,type,
sk8: $i ).
thf(sk9_type,type,
sk9: $i ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA6) ).
thf(99,plain,
! [A: $i,B: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(100,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A = B ) ),
inference(cnf,[status(esa)],[99]) ).
thf(101,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( s_t @ A @ B @ A ) ),
inference(lifteq,[status(thm)],[100]) ).
thf(72,axiom,
! [A: $i,B: $i,C: $i] :
( ( sameside @ A @ B @ C )
| ~ ( s_col @ A @ B @ C )
| ( s_t @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_4b) ).
thf(347,plain,
! [A: $i,B: $i,C: $i] :
( ( sameside @ A @ B @ C )
| ~ ( s_col @ A @ B @ C )
| ( s_t @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(48,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( sameside @ A @ B @ C )
| ( s_col @ A @ B @ C ) )
& ( ~ ( sameside @ A @ B @ C )
| ~ ( s_t @ A @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_4a) ).
thf(249,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( sameside @ A @ B @ C )
| ( s_col @ A @ B @ C ) )
& ( ~ ( sameside @ A @ B @ C )
| ~ ( s_t @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(8,axiom,
! [A: $i,B: $i] : ( s_t @ A @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_3) ).
thf(114,plain,
! [A: $i,B: $i] : ( s_t @ A @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(115,plain,
! [B: $i,A: $i] : ( s_t @ A @ A @ B ),
inference(cnf,[status(esa)],[114]) ).
thf(53,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ F )
| ~ ( s_e @ A @ B @ E @ F )
| ~ ( s_e @ B @ C @ D @ E )
| ( s_e @ A @ C @ D @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_15) ).
thf(276,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ F )
| ~ ( s_e @ A @ B @ E @ F )
| ~ ( s_e @ B @ C @ D @ E )
| ( s_e @ A @ C @ D @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(10,axiom,
! [A: $i,B: $i] : ( s_col @ A @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12) ).
thf(120,plain,
! [A: $i,B: $i] : ( s_col @ A @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( s_t @ A @ B @ ( ext @ A @ B @ C @ D ) )
& ( s_e @ B @ ( ext @ A @ B @ C @ D ) @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA4) ).
thf(269,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( s_t @ A @ B @ ( ext @ A @ B @ C @ D ) )
& ( s_e @ B @ ( ext @ A @ B @ C @ D ) @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(57,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ~ ( s_e @ B @ E @ D @ F )
| ~ ( s_e @ A @ G @ C @ H )
| ~ ( s_e @ B @ G @ D @ H )
| ~ ( s_t @ A @ B @ E )
| ~ ( s_t @ C @ D @ F )
| ( A = B )
| ( s_e @ E @ G @ F @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA5) ).
thf(288,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ~ ( s_e @ B @ E @ D @ F )
| ~ ( s_e @ A @ G @ C @ H )
| ~ ( s_e @ B @ G @ D @ H )
| ~ ( s_t @ A @ B @ E )
| ~ ( s_t @ C @ D @ F )
| ( A = B )
| ( s_e @ E @ G @ F @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(61,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ A @ C @ D @ E )
| ( s_t @ D @ ( insert @ A @ B @ D @ E ) @ E ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ A @ C @ D @ E )
| ( s_e3 @ A @ B @ C @ D @ ( insert @ A @ B @ D @ E ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_5) ).
thf(301,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ A @ C @ D @ E )
| ( s_t @ D @ ( insert @ A @ B @ D @ E ) @ E ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ A @ C @ D @ E )
| ( s_e3 @ A @ B @ C @ D @ ( insert @ A @ B @ D @ E ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(35,axiom,
beta != gamma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13b) ).
thf(194,plain,
beta != gamma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(195,plain,
beta != gamma,
inference(polarity_switch,[status(thm)],[194]) ).
thf(196,plain,
beta != gamma,
inference(lifteq,[status(thm)],[195]) ).
thf(447,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( B != gamma )
| ( A != beta ) ),
inference(paramod_ordered,[status(thm)],[101,196]) ).
thf(448,plain,
! [A: $i] :
( ~ ( s_t @ beta @ A @ beta )
| ( A != gamma ) ),
inference(pattern_uni,[status(thm)],[447:[bind(A,$thf( beta ))]]) ).
thf(587,plain,
~ ( s_t @ beta @ gamma @ beta ),
inference(simp,[status(thm)],[448]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_col @ D @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_13) ).
thf(125,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_col @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( A
!= ( ext @ B @ A @ alpha @ gamma ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_14b) ).
thf(157,plain,
! [A: $i,B: $i] :
( A
!= ( ext @ B @ A @ alpha @ gamma ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(33,axiom,
! [A: $i,B: $i] : ( le @ A @ B @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_7) ).
thf(188,plain,
! [A: $i,B: $i] : ( le @ A @ B @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(189,plain,
! [B: $i,A: $i] : ( le @ A @ B @ A @ B ),
inference(cnf,[status(esa)],[188]) ).
thf(85,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ~ ( s_e @ C @ D @ E @ F )
| ( s_e @ A @ B @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_3) ).
thf(421,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ~ ( s_e @ C @ D @ E @ F )
| ( s_e @ A @ B @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(65,axiom,
! [A: $i,B: $i] : ( s_e @ A @ A @ B @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_8) ).
thf(315,plain,
! [A: $i,B: $i] : ( s_e @ A @ A @ B @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(316,plain,
! [B: $i,A: $i] : ( s_e @ A @ A @ B @ B ),
inference(cnf,[status(esa)],[315]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ A @ B @ C )
| ( s_t @ C @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
thf(179,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ A @ B @ C )
| ( s_t @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(68,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ( s_e @ B @ A @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_4) ).
thf(321,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ( s_e @ B @ A @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(40,axiom,
( ~ ( s_t @ alpha @ beta @ gamma )
& ~ ( s_t @ beta @ gamma @ alpha )
& ~ ( s_t @ gamma @ alpha @ beta ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA8) ).
thf(208,plain,
( ~ ( s_t @ alpha @ beta @ gamma )
& ~ ( s_t @ beta @ gamma @ alpha )
& ~ ( s_t @ gamma @ alpha @ beta ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(211,plain,
~ ( s_t @ alpha @ beta @ gamma ),
inference(cnf,[status(esa)],[208]) ).
thf(121,plain,
! [B: $i,A: $i] : ( s_col @ A @ A @ B ),
inference(cnf,[status(esa)],[120]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( A = B )
| ( C = D )
| ( sameside @ ( insert @ C @ D @ B @ A ) @ B @ A ) )
& ( ( A = B )
| ( C = D )
| ( s_e @ B @ ( insert @ C @ D @ B @ A ) @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_11a) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( A = B )
| ( C = D )
| ( sameside @ ( insert @ C @ D @ B @ A ) @ B @ A ) )
& ( ( A = B )
| ( C = D )
| ( s_e @ B @ ( insert @ C @ D @ B @ A ) @ C @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(87,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( A = B )
| ( C = D )
| ( sameside @ ( insert @ C @ D @ B @ A ) @ B @ A ) )
& ( ( A = B )
| ( C = D )
| ( s_e @ B @ ( insert @ C @ D @ B @ A ) @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(88,plain,
~ ( ! [A: $i,B: $i] :
( ( A = B )
| ! [C: $i,D: $i] :
( ( C = D )
| ( sameside @ ( insert @ C @ D @ B @ A ) @ B @ A ) ) )
& ! [A: $i,B: $i] :
( ( A = B )
| ! [C: $i,D: $i] :
( ( C = D )
| ( s_e @ B @ ( insert @ C @ D @ B @ A ) @ C @ D ) ) ) ),
inference(miniscope,[status(thm)],[87]) ).
thf(91,plain,
( sk1
| ( sk6 != sk7 ) ),
inference(cnf,[status(esa)],[88]) ).
thf(97,plain,
( ( sk7 != sk6 )
| sk1 ),
inference(lifteq,[status(thm)],[91]) ).
thf(525,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A != sk6 )
| sk1
| ( B != sk7 ) ),
inference(paramod_ordered,[status(thm)],[101,97]) ).
thf(526,plain,
! [A: $i] :
( ~ ( s_t @ A @ sk7 @ A )
| ( A != sk6 )
| sk1 ),
inference(pattern_uni,[status(thm)],[525:[bind(A,$thf( A )),bind(B,$thf( sk7 ))]]) ).
thf(574,plain,
( ~ ( s_t @ sk6 @ sk7 @ sk6 )
| sk1 ),
inference(simp,[status(thm)],[526]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11a) ).
thf(133,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ B @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ C @ D )
| ( B = C )
| ( s_t @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_7b) ).
thf(116,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ C @ D )
| ( B = C )
| ( s_t @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(39,axiom,
! [A: $i,B: $i] : ( s_col @ A @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
thf(206,plain,
! [A: $i,B: $i] : ( s_col @ A @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(58,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( C = B )
| ( D = B )
| ~ ( s_t @ A @ B @ D )
| ~ ( s_t @ C @ B @ D )
| ( sameside @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_2a) ).
thf(292,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( C = B )
| ( D = B )
| ~ ( s_t @ A @ B @ D )
| ~ ( s_t @ C @ B @ D )
| ( sameside @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(75,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ~ ( s_e @ A @ B @ E @ F )
| ( s_e @ C @ D @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA2) ).
thf(366,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ~ ( s_e @ A @ B @ E @ F )
| ( s_e @ C @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ( s_t @ B @ ( ip @ A @ B @ C @ D @ E ) @ D ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ( s_t @ E @ ( ip @ A @ B @ C @ D @ E ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA7) ).
thf(102,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ( s_t @ B @ ( ip @ A @ B @ C @ D @ E ) @ D ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ( s_t @ E @ ( ip @ A @ B @ C @ D @ E ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(73,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_t @ A @ B @ C ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_t @ E @ F @ G ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ B @ E @ F ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ C @ F @ G ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ D @ E @ H ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ D @ F @ H ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ E @ F @ G )
| ~ ( s_e @ A @ B @ E @ F )
| ~ ( s_e @ B @ C @ F @ G )
| ~ ( s_e @ A @ D @ E @ H )
| ~ ( s_e @ B @ D @ F @ H )
| ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn2_10) ).
thf(349,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_t @ A @ B @ C ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_t @ E @ F @ G ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ B @ E @ F ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ C @ F @ G ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ D @ E @ H ) )
& ( ~ ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ D @ F @ H ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ E @ F @ G )
| ~ ( s_e @ A @ B @ E @ F )
| ~ ( s_e @ B @ C @ F @ G )
| ~ ( s_e @ A @ D @ E @ H )
| ~ ( s_e @ B @ D @ F @ H )
| ( s_afs @ A @ B @ C @ D @ E @ F @ G @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(158,plain,
~ ? [A: $i,B: $i] :
( A
= ( ext @ B @ A @ alpha @ gamma ) ),
inference(miniscope,[status(thm)],[157]) ).
thf(159,plain,
! [B: $i,A: $i] :
( A
!= ( ext @ B @ A @ alpha @ gamma ) ),
inference(cnf,[status(esa)],[158]) ).
thf(160,plain,
! [B: $i,A: $i] :
( ( ext @ B @ A @ alpha @ gamma )
!= A ),
inference(lifteq,[status(thm)],[159]) ).
thf(79,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( sameside @ A @ B @ C )
| ~ ( sameside @ C @ B @ D )
| ( sameside @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_7) ).
thf(392,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( sameside @ A @ B @ C )
| ~ ( sameside @ C @ B @ D )
| ( sameside @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(86,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( le @ A @ B @ C @ D )
| ~ ( s_t @ A @ B @ E )
| ~ ( s_e @ A @ E @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_5b) ).
thf(424,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( le @ A @ B @ C @ D )
| ~ ( s_t @ A @ B @ E )
| ~ ( s_e @ A @ E @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ C @ D )
| ( B = C )
| ( s_t @ A @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_7a) ).
thf(137,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ C @ D )
| ( B = C )
| ( s_t @ A @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(92,plain,
( sk1
| ~ ( s_e @ sk7 @ ( insert @ sk8 @ sk9 @ sk7 @ sk6 ) @ sk8 @ sk9 ) ),
inference(cnf,[status(esa)],[88]) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_t @ A @ B @ C ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_t @ E @ F @ G ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ C @ E @ G ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ C @ F @ G ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ D @ E @ H ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ C @ D @ G @ H ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ E @ F @ G )
| ~ ( s_e @ A @ C @ E @ G )
| ~ ( s_e @ B @ C @ F @ G )
| ~ ( s_e @ A @ D @ E @ H )
| ~ ( s_e @ C @ D @ G @ H )
| ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_1) ).
thf(229,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_t @ A @ B @ C ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_t @ E @ F @ G ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ C @ E @ G ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ C @ F @ G ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ D @ E @ H ) )
& ( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ C @ D @ G @ H ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ E @ F @ G )
| ~ ( s_e @ A @ C @ E @ G )
| ~ ( s_e @ B @ C @ F @ G )
| ~ ( s_e @ A @ D @ E @ H )
| ~ ( s_e @ C @ D @ G @ H )
| ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ A @ C )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_4) ).
thf(197,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ A @ C )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(56,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ A @ C @ A @ B )
| ( C = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNarbouxLemma1) ).
thf(285,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ A @ C @ A @ B )
| ( C = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(66,axiom,
! [A: $i,B: $i] : ( s_e @ A @ B @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_1) ).
thf(317,plain,
! [A: $i,B: $i] : ( s_e @ A @ B @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(13,axiom,
alpha != beta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13a) ).
thf(128,plain,
alpha != beta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(129,plain,
alpha != beta,
inference(polarity_switch,[status(thm)],[128]) ).
thf(130,plain,
beta != alpha,
inference(lifteq,[status(thm)],[129]) ).
thf(459,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( B != alpha )
| ( A != beta ) ),
inference(paramod_ordered,[status(thm)],[101,130]) ).
thf(460,plain,
! [A: $i] :
( ~ ( s_t @ beta @ A @ beta )
| ( A != alpha ) ),
inference(pattern_uni,[status(thm)],[459:[bind(A,$thf( beta ))]]) ).
thf(593,plain,
~ ( s_t @ beta @ alpha @ beta ),
inference(simp,[status(thm)],[460]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ B @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11d) ).
thf(141,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(6,axiom,
! [A: $i,B: $i] : ( s_t @ A @ B @ ( ext @ A @ B @ alpha @ gamma ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_14a) ).
thf(109,plain,
! [A: $i,B: $i] : ( s_t @ A @ B @ ( ext @ A @ B @ alpha @ gamma ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(71,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( sameside @ A @ B @ C )
| ( A != B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( C != B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( s_t @ B @ A @ C )
| ( s_t @ B @ C @ A ) )
& ( ~ ( s_t @ B @ A @ C )
| ( A = B )
| ( xb = B )
| ( sameside @ A @ B @ C ) )
& ( ~ ( s_t @ B @ C @ A )
| ( A = B )
| ( C = B )
| ( sameside @ A @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn6_1) ).
thf(331,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( sameside @ A @ B @ C )
| ( A != B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( C != B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( s_t @ B @ A @ C )
| ( s_t @ B @ C @ A ) )
& ( ~ ( s_t @ B @ A @ C )
| ( A = B )
| ( xb = B )
| ( sameside @ A @ B @ C ) )
& ( ~ ( s_t @ B @ C @ A )
| ( A = B )
| ( C = B )
| ( sameside @ A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(332,plain,
( ! [A: $i,B: $i] :
( ~ ? [C: $i] : ( sameside @ A @ B @ C )
| ( A != B ) )
& ! [A: $i,B: $i,C: $i] :
( ~ ( sameside @ A @ B @ C )
| ( C != B ) )
& ! [A: $i,B: $i,C: $i] :
( ~ ( sameside @ A @ B @ C )
| ( s_t @ B @ A @ C )
| ( s_t @ B @ C @ A ) )
& ! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ B @ A @ C )
| ( A = B )
| ( xb = B )
| ( sameside @ A @ B @ C ) )
& ! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ B @ C @ A )
| ( A = B )
| ( C = B )
| ( sameside @ A @ B @ C ) ) ),
inference(miniscope,[status(thm)],[331]) ).
thf(333,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( sameside @ A @ B @ C )
| ( A != B ) ),
inference(cnf,[status(esa)],[332]) ).
thf(338,plain,
! [C: $i,B: $i,A: $i] :
( ( A != B )
| ~ ( sameside @ A @ B @ C ) ),
inference(lifteq,[status(thm)],[333]) ).
thf(339,plain,
! [B: $i,A: $i] :
~ ( sameside @ A @ A @ B ),
inference(simp,[status(thm)],[338]) ).
thf(38,axiom,
alpha != gamma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13c) ).
thf(203,plain,
alpha != gamma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(204,plain,
alpha != gamma,
inference(polarity_switch,[status(thm)],[203]) ).
thf(205,plain,
gamma != alpha,
inference(lifteq,[status(thm)],[204]) ).
thf(453,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A != alpha )
| ( B != gamma ) ),
inference(paramod_ordered,[status(thm)],[101,205]) ).
thf(454,plain,
! [A: $i] :
( ~ ( s_t @ A @ gamma @ A )
| ( A != alpha ) ),
inference(pattern_uni,[status(thm)],[453:[bind(A,$thf( A )),bind(B,$thf( gamma ))]]) ).
thf(590,plain,
~ ( s_t @ alpha @ gamma @ alpha ),
inference(simp,[status(thm)],[454]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ D @ C )
| ( s_t @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_5a) ).
thf(212,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ D @ C )
| ( s_t @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(89,plain,
( ( sk2 != sk3 )
| ~ sk1 ),
inference(cnf,[status(esa)],[88]) ).
thf(96,plain,
( ( sk3 != sk2 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[89]) ).
thf(103,plain,
( ! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ A @ B @ C )
| ! [D: $i,E: $i] :
( ~ ( s_t @ D @ E @ C )
| ( s_t @ B @ ( ip @ A @ B @ C @ D @ E ) @ D ) ) )
& ! [A: $i,B: $i,C: $i] :
( ~ ( s_t @ A @ B @ C )
| ! [D: $i,E: $i] :
( ~ ( s_t @ D @ E @ C )
| ( s_t @ E @ ( ip @ A @ B @ C @ D @ E ) @ A ) ) ) ),
inference(miniscope,[status(thm)],[102]) ).
thf(105,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ( s_t @ B @ ( ip @ A @ B @ C @ D @ E ) @ D ) ),
inference(cnf,[status(esa)],[103]) ).
thf(46,axiom,
! [A: $i,B: $i] : ( s_e @ A @ B @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA1) ).
thf(244,plain,
! [A: $i,B: $i] : ( s_e @ A @ B @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( s_col @ A @ B @ C )
| ( s_t @ A @ B @ C )
| ( s_t @ B @ C @ A )
| ( s_t @ C @ A @ B ) )
& ( ( s_col @ A @ B @ C )
| ~ ( s_t @ A @ B @ C ) )
& ( ( s_col @ A @ B @ C )
| ~ ( s_t @ B @ C @ A ) )
& ( ( s_col @ A @ B @ C )
| ~ ( s_t @ C @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_10) ).
thf(166,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( s_col @ A @ B @ C )
| ( s_t @ A @ B @ C )
| ( s_t @ B @ C @ A )
| ( s_t @ C @ A @ B ) )
& ( ( s_col @ A @ B @ C )
| ~ ( s_t @ A @ B @ C ) )
& ( ( s_col @ A @ B @ C )
| ~ ( s_t @ B @ C @ A ) )
& ( ( s_col @ A @ B @ C )
| ~ ( s_t @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11b) ).
thf(148,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ C @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] : ( le @ A @ A @ B @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_11) ).
thf(161,plain,
! [A: $i,B: $i,C: $i] : ( le @ A @ A @ B @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( A = B )
| ( s_e @ C @ D @ G @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_16) ).
thf(279,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( A = B )
| ( s_e @ C @ D @ G @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(523,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( B != sk6 )
| sk1
| ( A != sk7 ) ),
inference(paramod_ordered,[status(thm)],[101,97]) ).
thf(524,plain,
! [A: $i] :
( ~ ( s_t @ sk7 @ A @ sk7 )
| ( A != sk6 )
| sk1 ),
inference(pattern_uni,[status(thm)],[523:[bind(A,$thf( sk7 ))]]) ).
thf(573,plain,
( ~ ( s_t @ sk7 @ sk6 @ sk7 )
| sk1 ),
inference(simp,[status(thm)],[524]) ).
thf(59,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( insert @ A @ B @ C @ D )
= ( ext @ ( ext @ D @ C @ alpha @ gamma ) @ C @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_insert) ).
thf(296,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( insert @ A @ B @ C @ D )
= ( ext @ ( ext @ D @ C @ alpha @ gamma ) @ C @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(64,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( sameside @ A @ B @ C )
| ( sameside @ C @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_6) ).
thf(313,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( sameside @ A @ B @ C )
| ( sameside @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_t @ A @ B @ C )
| ~ ( le @ A @ B @ A @ C )
| ~ ( le @ B @ C @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_12b) ).
thf(181,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_t @ A @ B @ C )
| ~ ( le @ A @ B @ A @ C )
| ~ ( le @ B @ C @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(43,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_e @ A @ B @ D @ E )
| ( s_e3 @ A @ B @ C @ D @ E @ ( insert5 @ A @ B @ C @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_14) ).
thf(219,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_e @ A @ B @ D @ E )
| ( s_e3 @ A @ B @ C @ D @ E @ ( insert5 @ A @ B @ C @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(52,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( le @ A @ B @ C @ D )
| ~ ( le @ C @ D @ A @ B )
| ( s_e @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_9) ).
thf(274,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( le @ A @ B @ C @ D )
| ~ ( le @ C @ D @ A @ B )
| ( s_e @ A @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(78,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( sameside @ A @ B @ C )
| ( A != B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( C != B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( ( c63 @ A @ B @ C )
!= B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( s_t @ A @ B @ ( c63 @ A @ B @ C ) ) )
& ( ~ ( sameside @ A @ B @ C )
| ( s_t @ C @ B @ ( c63 @ A @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_3a) ).
thf(377,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( sameside @ A @ B @ C )
| ( A != B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( C != B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( ( c63 @ A @ B @ C )
!= B ) )
& ( ~ ( sameside @ A @ B @ C )
| ( s_t @ A @ B @ ( c63 @ A @ B @ C ) ) )
& ( ~ ( sameside @ A @ B @ C )
| ( s_t @ C @ B @ ( c63 @ A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(245,plain,
! [B: $i,A: $i] : ( s_e @ A @ B @ B @ A ),
inference(cnf,[status(esa)],[244]) ).
thf(90,plain,
( sk1
| ( sk8 != sk9 ) ),
inference(cnf,[status(esa)],[88]) ).
thf(98,plain,
( ( sk9 != sk8 )
| sk1 ),
inference(lifteq,[status(thm)],[90]) ).
thf(69,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_e @ A @ B @ C @ C )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA3) ).
thf(323,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_e @ A @ B @ C @ C )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(461,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A != alpha )
| ( B != beta ) ),
inference(paramod_ordered,[status(thm)],[101,130]) ).
thf(462,plain,
! [A: $i] :
( ~ ( s_t @ A @ beta @ A )
| ( A != alpha ) ),
inference(pattern_uni,[status(thm)],[461:[bind(A,$thf( A )),bind(B,$thf( beta ))]]) ).
thf(594,plain,
~ ( s_t @ alpha @ beta @ alpha ),
inference(simp,[status(thm)],[462]) ).
thf(81,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ D @ F @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_2) ).
thf(399,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ~ ( s_ifs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ D @ F @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(62,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ~ ( s_col @ A @ B @ C )
| ~ ( s_e @ A @ C @ A @ D )
| ~ ( s_e @ B @ C @ B @ D )
| ( C = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_18) ).
thf(306,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ~ ( s_col @ A @ B @ C )
| ~ ( s_e @ A @ C @ A @ D )
| ~ ( s_e @ B @ C @ B @ D )
| ( C = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(16,axiom,
! [A: $i,B: $i] : ( s_t @ A @ B @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_1) ).
thf(135,plain,
! [A: $i,B: $i] : ( s_t @ A @ B @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(60,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ( s_e @ C @ D @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
thf(299,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ( s_e @ C @ D @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(451,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( B != alpha )
| ( A != gamma ) ),
inference(paramod_ordered,[status(thm)],[101,205]) ).
thf(452,plain,
! [A: $i] :
( ~ ( s_t @ gamma @ A @ gamma )
| ( A != alpha ) ),
inference(pattern_uni,[status(thm)],[451:[bind(A,$thf( gamma ))]]) ).
thf(589,plain,
~ ( s_t @ gamma @ alpha @ gamma ),
inference(simp,[status(thm)],[452]) ).
thf(162,plain,
! [C: $i,B: $i,A: $i] : ( le @ A @ A @ B @ C ),
inference(cnf,[status(esa)],[161]) ).
thf(209,plain,
~ ( s_t @ gamma @ alpha @ beta ),
inference(cnf,[status(esa)],[208]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_t @ D @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_6) ).
thf(145,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_t @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(55,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ~ ( le @ A @ B @ C @ D )
| ~ ( s_e @ A @ B @ E @ F )
| ~ ( s_e @ C @ D @ G @ H )
| ( le @ E @ F @ G @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_6) ).
thf(282,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ~ ( le @ A @ B @ C @ D )
| ~ ( s_e @ A @ B @ E @ F )
| ~ ( s_e @ C @ D @ G @ H )
| ( le @ E @ F @ G @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ B @ D )
| ( s_t @ A @ C @ D )
| ( s_t @ A @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_1) ).
thf(150,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ B @ D )
| ( s_t @ A @ C @ D )
| ( s_t @ A @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(93,plain,
( ( sk4 != sk5 )
| ~ sk1 ),
inference(cnf,[status(esa)],[88]) ).
thf(95,plain,
( ( sk5 != sk4 )
| ~ sk1 ),
inference(lifteq,[status(thm)],[93]) ).
thf(70,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_e @ A @ B @ C @ C )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_13) ).
thf(327,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_e @ A @ B @ C @ C )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(83,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_e @ A @ B @ D @ E ) )
& ( ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_e @ A @ C @ D @ F ) )
& ( ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_e @ B @ C @ E @ F ) )
& ( ~ ( s_e @ A @ B @ D @ E )
| ~ ( s_e @ A @ C @ D @ F )
| ~ ( s_e @ B @ C @ E @ F )
| ( s_e3 @ A @ B @ C @ D @ E @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_4) ).
thf(409,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_e @ A @ B @ D @ E ) )
& ( ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_e @ A @ C @ D @ F ) )
& ( ~ ( s_e3 @ A @ B @ C @ D @ E @ F )
| ( s_e @ B @ C @ E @ F ) )
& ( ~ ( s_e @ A @ B @ D @ E )
| ~ ( s_e @ A @ C @ D @ F )
| ~ ( s_e @ B @ C @ E @ F )
| ( s_e3 @ A @ B @ C @ D @ E @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(63,axiom,
! [A: $i,B: $i] :
( ( A = B )
| ( sameside @ A @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_5) ).
thf(310,plain,
! [A: $i,B: $i] :
( ( A = B )
| ( sameside @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_t @ A @ B @ C )
| ( le @ B @ C @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_12a2) ).
thf(177,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_t @ A @ B @ C )
| ( le @ B @ C @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(529,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A != sk2 )
| ~ sk1
| ( B != sk3 ) ),
inference(paramod_ordered,[status(thm)],[101,96]) ).
thf(530,plain,
! [A: $i] :
( ~ ( s_t @ A @ sk3 @ A )
| ( A != sk2 )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[529:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(576,plain,
( ~ ( s_t @ sk2 @ sk3 @ sk2 )
| ~ sk1 ),
inference(simp,[status(thm)],[530]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ D @ C )
| ( s_t @ A @ B @ D )
| ( s_t @ A @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_3) ).
thf(154,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ D @ C )
| ( s_t @ A @ B @ D )
| ( s_t @ A @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_t @ A @ B @ C )
| ( le @ A @ B @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_12a1) ).
thf(175,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_t @ A @ B @ C )
| ( le @ A @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ C @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11c) ).
thf(143,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(449,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A != gamma )
| ( B != beta ) ),
inference(paramod_ordered,[status(thm)],[101,196]) ).
thf(450,plain,
! [A: $i] :
( ~ ( s_t @ A @ beta @ A )
| ( A != gamma ) ),
inference(pattern_uni,[status(thm)],[449:[bind(A,$thf( A )),bind(B,$thf( beta ))]]) ).
thf(588,plain,
~ ( s_t @ gamma @ beta @ gamma ),
inference(simp,[status(thm)],[450]) ).
thf(67,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ( s_e @ A @ B @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_5) ).
thf(319,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ( s_e @ A @ B @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(50,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_col @ A @ B @ C ) )
& ( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e3 @ A @ B @ C @ E @ F @ G ) )
& ( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ D @ E @ H ) )
& ( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ D @ F @ H ) )
& ( ~ ( s_col @ A @ B @ C )
| ~ ( s_e3 @ A @ B @ C @ E @ F @ G )
| ~ ( s_e @ A @ D @ E @ H )
| ~ ( s_e @ B @ D @ F @ H )
| ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_15) ).
thf(258,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_col @ A @ B @ C ) )
& ( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e3 @ A @ B @ C @ E @ F @ G ) )
& ( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ A @ D @ E @ H ) )
& ( ~ ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H )
| ( s_e @ B @ D @ F @ H ) )
& ( ~ ( s_col @ A @ B @ C )
| ~ ( s_e3 @ A @ B @ C @ E @ F @ G )
| ~ ( s_e @ A @ D @ E @ H )
| ~ ( s_e @ B @ D @ F @ H )
| ( s_fs @ A @ B @ C @ D @ E @ F @ G @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(82,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( le @ A @ B @ C @ D )
| ( s_t @ A @ B @ ( ins @ C @ D @ A @ B ) ) )
& ( ~ ( le @ A @ B @ C @ D )
| ( s_e @ A @ ( ins @ C @ D @ A @ B ) @ C @ D ) )
& ( ~ ( le @ A @ B @ C @ D )
| ( ( ins @ C @ D @ A @ B )
= ( ext @ A @ B @ ( insert @ A @ B @ C @ D ) @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_5a) ).
thf(401,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ~ ( le @ A @ B @ C @ D )
| ( s_t @ A @ B @ ( ins @ C @ D @ A @ B ) ) )
& ( ~ ( le @ A @ B @ C @ D )
| ( s_e @ A @ ( ins @ C @ D @ A @ B ) @ C @ D ) )
& ( ~ ( le @ A @ B @ C @ D )
| ( ( ins @ C @ D @ A @ B )
= ( ext @ A @ B @ ( insert @ A @ B @ C @ D ) @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(84,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ F )
| ~ ( s_e @ A @ B @ D @ E )
| ~ ( s_e @ B @ C @ E @ F )
| ( s_e @ A @ C @ D @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_11) ).
thf(418,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ F )
| ~ ( s_e @ A @ B @ D @ E )
| ~ ( s_e @ B @ C @ E @ F )
| ( s_e @ A @ C @ D @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ F )
| ~ ( s_e @ A @ C @ D @ F )
| ~ ( s_e @ B @ C @ E @ F )
| ( s_e @ A @ B @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_3) ).
thf(246,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ F )
| ~ ( s_e @ A @ C @ D @ F )
| ~ ( s_e @ B @ C @ E @ F )
| ( s_e @ A @ B @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(207,plain,
! [B: $i,A: $i] : ( s_col @ A @ B @ A ),
inference(cnf,[status(esa)],[206]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ B @ D )
| ( s_t @ B @ C @ D )
| ( s_t @ B @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_2) ).
thf(190,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ B @ D )
| ( s_t @ B @ C @ D )
| ( s_t @ B @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ~ ( s_t @ A @ F @ D )
| ( s_t @ F @ ( crossbar @ A @ B @ C @ D @ E @ F ) @ C ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ~ ( s_t @ A @ F @ D )
| ( s_t @ B @ ( crossbar @ A @ B @ C @ D @ E @ F ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_17) ).
thf(183,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ~ ( s_t @ A @ F @ D )
| ( s_t @ F @ ( crossbar @ A @ B @ C @ D @ E @ F ) @ C ) )
& ( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ D @ E @ C )
| ~ ( s_t @ A @ F @ D )
| ( s_t @ B @ ( crossbar @ A @ B @ C @ D @ E @ F ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(77,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ B @ C @ D @ E )
| ( C
= ( ext @ A @ B @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_12) ).
thf(373,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ B @ C @ D @ E )
| ( C
= ( ext @ A @ B @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(210,plain,
~ ( s_t @ beta @ gamma @ alpha ),
inference(cnf,[status(esa)],[208]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11e) ).
thf(107,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_col @ A @ B @ C )
| ( s_col @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(136,plain,
! [B: $i,A: $i] : ( s_t @ A @ B @ B ),
inference(cnf,[status(esa)],[135]) ).
thf(334,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( sameside @ A @ B @ C )
| ( C != B ) ),
inference(cnf,[status(esa)],[332]) ).
thf(340,plain,
! [C: $i,B: $i,A: $i] :
( ( C != B )
| ~ ( sameside @ A @ B @ C ) ),
inference(lifteq,[status(thm)],[334]) ).
thf(341,plain,
! [B: $i,A: $i] :
~ ( sameside @ A @ B @ B ),
inference(simp,[status(thm)],[340]) ).
thf(94,plain,
( ~ ( sameside @ ( insert @ sk4 @ sk5 @ sk3 @ sk2 ) @ sk3 @ sk2 )
| ~ sk1 ),
inference(cnf,[status(esa)],[88]) ).
thf(80,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( sameside @ A @ B @ C )
| ( A = B )
| ( C = B )
| ( D = B )
| ~ ( s_t @ A @ B @ D )
| ~ ( s_t @ C @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_3b) ).
thf(395,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( sameside @ A @ B @ C )
| ( A = B )
| ( C = B )
| ( D = B )
| ~ ( s_t @ A @ B @ D )
| ~ ( s_t @ C @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(527,plain,
! [B: $i,A: $i] :
( ~ ( s_t @ A @ B @ A )
| ( B != sk2 )
| ~ sk1
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[101,96]) ).
thf(528,plain,
! [A: $i] :
( ~ ( s_t @ sk3 @ A @ sk3 )
| ( A != sk2 )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[527:[bind(A,$thf( sk3 ))]]) ).
thf(575,plain,
( ~ ( s_t @ sk3 @ sk2 @ sk3 )
| ~ sk1 ),
inference(simp,[status(thm)],[528]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( le @ A @ B @ C @ D )
| ( le @ C @ D @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_10) ).
thf(131,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( le @ A @ B @ C @ D )
| ( le @ C @ D @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(76,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( C = B )
| ( D = B )
| ~ ( s_t @ A @ B @ D )
| ( s_t @ C @ B @ D )
| ~ ( sameside @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_2b) ).
thf(369,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( C = B )
| ( D = B )
| ~ ( s_t @ A @ B @ D )
| ( s_t @ C @ B @ D )
| ~ ( sameside @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ D @ C )
| ( s_t @ A @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_5b) ).
thf(163,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ B @ D @ C )
| ( s_t @ A @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( le @ A @ B @ C @ D )
| ~ ( le @ C @ D @ E @ F )
| ( le @ A @ B @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_8) ).
thf(200,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( le @ A @ B @ C @ D )
| ~ ( le @ C @ D @ E @ F )
| ( le @ A @ B @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ C @ D )
| ( s_t @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_6a) ).
thf(111,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ C @ D )
| ( s_t @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ~ ( s_col @ A @ B @ C )
| ~ ( s_e @ A @ D @ A @ E )
| ~ ( s_e @ B @ D @ B @ E )
| ( s_e @ C @ D @ C @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_17) ).
thf(254,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ~ ( s_col @ A @ B @ C )
| ~ ( s_e @ A @ D @ A @ E )
| ~ ( s_e @ B @ D @ B @ E )
| ( s_e @ C @ D @ C @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ C @ D )
| ( s_t @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_6b) ).
thf(122,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_t @ A @ C @ D )
| ( s_t @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ A @ B @ A @ D )
| ~ ( s_e @ C @ B @ C @ D )
| ( B = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_19) ).
thf(215,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_t @ A @ B @ C )
| ~ ( s_e @ A @ B @ A @ D )
| ~ ( s_e @ C @ B @ C @ D )
| ( B = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( le @ A @ B @ C @ D )
| ( s_t @ C @ ( insert @ A @ B @ C @ D ) @ D ) )
& ( ~ ( le @ A @ B @ C @ D )
| ( s_e @ A @ B @ C @ ( insert @ A @ B @ C @ D ) ) )
& ( ~ ( s_t @ C @ E @ D )
| ~ ( s_e @ A @ B @ C @ E )
| ( le @ A @ B @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn5_4) ).
thf(222,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ~ ( le @ A @ B @ C @ D )
| ( s_t @ C @ ( insert @ A @ B @ C @ D ) @ D ) )
& ( ~ ( le @ A @ B @ C @ D )
| ( s_e @ A @ B @ C @ ( insert @ A @ B @ C @ D ) ) )
& ( ~ ( s_t @ C @ E @ D )
| ~ ( s_e @ A @ B @ C @ E )
| ( le @ A @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(74,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ( s_e @ B @ A @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_14) ).
thf(364,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_e @ A @ B @ C @ D )
| ( s_e @ B @ A @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(6029,plain,
$false,
inference(e,[status(thm)],[101,347,249,115,276,120,269,288,301,587,125,196,157,189,421,316,179,321,211,121,574,133,116,206,292,366,102,349,160,392,424,137,92,229,197,97,285,317,188,593,141,109,339,590,212,96,128,205,105,244,166,148,161,279,573,296,313,181,219,274,377,245,98,208,323,594,130,399,306,135,299,589,162,209,194,145,282,150,95,327,409,310,177,331,576,154,175,143,99,87,203,588,319,258,114,401,418,246,207,315,190,183,373,210,107,136,341,94,395,575,131,369,163,200,111,254,122,215,222,364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% 0.02/0.13 % Command : run_Leo-III %s %d
% 0.13/0.32 % Computer : n010.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Fri May 19 04:15:43 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.86/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.43/0.98 % [INFO] Parsing done (179ms).
% 1.43/0.99 % [INFO] Running in sequential loop mode.
% 1.89/1.19 % [INFO] eprover registered as external prover.
% 1.89/1.19 % [INFO] cvc4 registered as external prover.
% 1.89/1.20 % [INFO] Scanning for conjecture ...
% 2.04/1.27 % [INFO] Found a conjecture and 84 axioms. Running axiom selection ...
% 2.28/1.33 % [INFO] Axiom selection finished. Selected 84 axioms (removed 0 axioms).
% 2.47/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 2.47/1.45 % [INFO] Type checking passed.
% 2.69/1.45 % [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 ...
% 20.12/4.46 % External prover 'e' found a proof!
% 20.12/4.46 % [INFO] Killing All external provers ...
% 20.12/4.46 % Time passed: 3977ms (effective reasoning time: 3464ms)
% 20.12/4.46 % 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)>
% 20.12/4.46 % Axioms used in derivation (84): aSatz4_5, aSatz5_2, aSatz6_2b, aSatz3_5a, aNarbouxLemma1, aSatz4_3, aSatz4_12b, aA7, aSatz5_9, aSatz3_4, aSatz6_5, aSatz2_13, aSatz3_14b, aSatz2_3, d_Defn5_4, aSatz4_11d, aSatz5_6, aSatz6_2a, d_Defn4_4, aSatz3_1, aSatz3_13c, aSatz6_3a, aSatz6_4b, aA1, aSatz4_16, d_insert, aSatz6_3b, aA5, aSatz5_12a1, d_Defn6_1, aSatz3_13a, aSatz6_6, d_Defn4_15, aSatz2_12, aSatz3_3, aSatz3_5b, aSatz3_17, aSatz4_11c, d_Defn4_10, aSatz5_1, aSatz5_12b, aSatz3_13b, aSatz4_19, aSatz4_14, aSatz2_1, d_Defn4_1, aA2, aSatz4_11b, aSatz2_5, aSatz3_6b, aA3, aSatz3_2, aSatz5_12a2, aA6, aSatz3_6a, aSatz5_11, aSatz4_18, aSatz2_2, aSatz5_5a, aSatz2_15, aSatz4_11a, aSatz2_4, aSatz3_14a, aA4, aSatz5_8, aSatz3_7a, aSatz4_6, aSatz5_7, aSatz4_13, aSatz2_11, aSatz2_14, aSatz4_11e, aSatz5_10, d_Defn2_10, aSatz5_5b, aSatz4_12, aSatz4_17, aSatz5_3, aSatz2_8, aSatz4_2, aSatz6_4a, aA8, aSatz3_7b, aSatz6_7
% 20.12/4.46 % No. of inferences in proof: 244
% 20.12/4.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3977 ms resp. 3464 ms w/o parsing
% 20.12/4.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.12/4.52 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------