TSTP Solution File: GEO531+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 11:11:09 EDT 2023
% Result : Theorem 7.51s 2.74s
% Output : Refutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 96
% Syntax : Number of formulae : 179 ( 15 unt; 15 typ; 0 def)
% Number of atoms : 786 ( 184 equ; 0 cnn)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 3546 ( 374 ~; 562 |; 60 &;2550 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 78 ( 78 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 1 con; 0-8 aty)
% Number of variables : 729 ( 0 ^; 729 !; 0 ?; 729 :)
% Comments :
%------------------------------------------------------------------------------
thf(congruent_type,type,
congruent: $i > $i > $i > $i > $i > $i > $o ).
thf(s_t_type,type,
s_t: $i > $i > $i > $o ).
thf(s_e_type,type,
s_e: $i > $i > $i > $i > $o ).
thf(s_col_type,type,
s_col: $i > $i > $i > $o ).
thf(sameside_type,type,
sameside: $i > $i > $i > $o ).
thf(s_ifs_type,type,
s_ifs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(s_e3_type,type,
s_e3: $i > $i > $i > $i > $i > $i > $o ).
thf(insert_type,type,
insert: $i > $i > $i > $i > $i ).
thf(ext_type,type,
ext: $i > $i > $i > $i > $i ).
thf(insert5_type,type,
insert5: $i > $i > $i > $i > $i > $i ).
thf(s_fs_type,type,
s_fs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(f113a_type,type,
f113a: $i > $i > $i > $i > $i > $i > $i ).
thf(f113c_type,type,
f113c: $i > $i > $i > $i > $i > $i > $i ).
thf(f113d_type,type,
f113d: $i > $i > $i > $i > $i > $i > $i ).
thf(f113f_type,type,
f113f: $i > $i > $i > $i > $i > $i > $i ).
thf(73,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(339,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)],[73]) ).
thf(70,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(331,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)],[70]) ).
thf(72,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(336,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)],[72]) ).
thf(13,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(139,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)],[13]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA6) ).
thf(101,plain,
! [A: $i,B: $i] :
( ~ ( s_t @ A @ B @ A )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(76,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(352,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)],[76]) ).
thf(22,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(170,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)],[22]) ).
thf(45,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(247,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)],[45]) ).
thf(82,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( sameside @ ( f113a @ A @ B @ C @ D @ E @ F ) @ B @ A )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( sameside @ ( f113c @ A @ B @ C @ D @ E @ F ) @ B @ C )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( sameside @ ( f113d @ A @ B @ C @ D @ E @ F ) @ E @ D )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( sameside @ ( f113f @ A @ B @ C @ D @ E @ F ) @ E @ F )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( s_e @ B @ ( f113a @ A @ B @ C @ D @ E @ F ) @ E @ ( f113d @ A @ B @ C @ D @ E @ F ) )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( s_e @ B @ ( f113c @ A @ B @ C @ D @ E @ F ) @ E @ ( f113f @ A @ B @ C @ D @ E @ F ) )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ~ ( s_e @ ( f113a @ A @ B @ C @ D @ E @ F ) @ ( f113c @ A @ B @ C @ D @ E @ F ) @ ( f113d @ A @ B @ C @ D @ E @ F ) @ ( f113f @ A @ B @ C @ D @ E @ F ) )
| ( congruent @ A @ B @ C @ D @ E @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_4b) ).
thf(385,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( sameside @ ( f113a @ A @ B @ C @ D @ E @ F ) @ B @ A )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( sameside @ ( f113c @ A @ B @ C @ D @ E @ F ) @ B @ C )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( sameside @ ( f113d @ A @ B @ C @ D @ E @ F ) @ E @ D )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( sameside @ ( f113f @ A @ B @ C @ D @ E @ F ) @ E @ F )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( s_e @ B @ ( f113a @ A @ B @ C @ D @ E @ F ) @ E @ ( f113d @ A @ B @ C @ D @ E @ F ) )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ( s_e @ B @ ( f113c @ A @ B @ C @ D @ E @ F ) @ E @ ( f113f @ A @ B @ C @ D @ E @ F ) )
| ( congruent @ A @ B @ C @ D @ E @ F ) )
& ( ( A = B )
| ( C = B )
| ( D = E )
| ( F = E )
| ~ ( s_e @ ( f113a @ A @ B @ C @ D @ E @ F ) @ ( f113c @ A @ B @ C @ D @ E @ F ) @ ( f113d @ A @ B @ C @ D @ E @ F ) @ ( f113f @ A @ B @ C @ D @ E @ F ) )
| ( congruent @ A @ B @ C @ D @ E @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ~ ( s_t @ C @ A @ B )
| ~ ( s_t @ D @ A @ B )
| ( s_t @ D @ C @ B )
| ( s_t @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_16a) ).
thf(153,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ~ ( s_t @ C @ A @ B )
| ~ ( s_t @ D @ A @ B )
| ( s_t @ D @ C @ B )
| ( s_t @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(61,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(301,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( sameside @ A @ B @ C )
| ( sameside @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(69,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(320,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)],[69]) ).
thf(27,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(184,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)],[27]) ).
thf(9,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(110,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)],[9]) ).
thf(10,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(125,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)],[10]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( A = C )
| ~ ( s_t @ B @ A @ C )
| ~ ( s_col @ D @ A @ B )
| ( D = A )
| ( sameside @ D @ A @ B )
| ( sameside @ D @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_15a) ).
thf(157,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( A = C )
| ~ ( s_t @ B @ A @ C )
| ~ ( s_col @ D @ A @ B )
| ( D = A )
| ( sameside @ D @ A @ B )
| ( sameside @ D @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,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(93,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)],[4]) ).
thf(39,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(228,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)],[39]) ).
thf(57,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(289,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)],[57]) ).
thf(36,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(216,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)],[36]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( A = B )
| ( C = D )
| ~ ( s_col @ A @ B @ E )
| ~ ( s_col @ C @ D @ E )
| ~ ( s_col @ A @ B @ F )
| ~ ( s_col @ C @ D @ F )
| ( E = F )
| ~ ( s_col @ A @ B @ G )
| ( s_col @ C @ D @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_21) ).
thf(106,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( A = B )
| ( C = D )
| ~ ( s_col @ A @ B @ E )
| ~ ( s_col @ C @ D @ E )
| ~ ( s_col @ A @ B @ F )
| ~ ( s_col @ C @ D @ F )
| ( E = F )
| ~ ( s_col @ A @ B @ G )
| ( s_col @ C @ D @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(35,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(211,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)],[35]) ).
thf(47,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(253,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)],[47]) ).
thf(64,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(307,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)],[64]) ).
thf(58,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(292,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)],[58]) ).
thf(41,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(233,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)],[41]) ).
thf(32,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(201,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)],[32]) ).
thf(37,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(220,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)],[37]) ).
thf(71,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(334,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)],[71]) ).
thf(20,axiom,
! [A: $i,B: $i] : ( s_col @ A @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12) ).
thf(165,plain,
! [A: $i,B: $i] : ( s_col @ A @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_col @ A @ B @ D )
| ( A = B )
| ( s_col @ A @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aext1) ).
thf(197,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( s_col @ A @ B @ C )
| ~ ( s_col @ A @ B @ D )
| ( A = B )
| ( s_col @ A @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(77,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(361,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)],[77]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ( C = D )
| ~ ( s_col @ C @ D @ A )
| ~ ( s_col @ C @ D @ B )
| ~ ( s_col @ C @ D @ E )
| ( s_col @ A @ B @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_18) ).
thf(97,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ( C = D )
| ~ ( s_col @ C @ D @ A )
| ~ ( s_col @ C @ D @ B )
| ~ ( s_col @ C @ D @ E )
| ( s_col @ A @ B @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(56,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( A = B )
| ( C = D )
| ~ ( sameside @ E @ B @ A )
| ~ ( s_e @ B @ E @ C @ D )
| ~ ( sameside @ F @ B @ A )
| ~ ( s_e @ B @ F @ C @ D )
| ( E = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_11b) ).
thf(285,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( A = B )
| ( C = D )
| ~ ( sameside @ E @ B @ A )
| ~ ( s_e @ B @ E @ C @ D )
| ~ ( sameside @ F @ B @ A )
| ~ ( s_e @ B @ F @ C @ D )
| ( E = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( A = C )
| ~ ( s_t @ B @ A @ C )
| ~ ( sameside @ D @ A @ C )
| ( s_col @ D @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_15c) ).
thf(224,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( A = C )
| ~ ( s_t @ B @ A @ C )
| ~ ( sameside @ D @ A @ C )
| ( s_col @ D @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( A = B )
| ( s_col @ A @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_17a) ).
thf(173,plain,
! [A: $i,B: $i] :
( ( A = B )
| ( s_col @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(80,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ~ ( sameside @ A @ B @ C )
| ~ ( sameside @ D @ B @ E )
| ~ ( sameside @ F @ G @ H )
| ~ ( sameside @ I @ G @ J )
| ~ ( s_e3 @ A @ B @ D @ F @ G @ I )
| ( congruent @ C @ B @ E @ H @ G @ J ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_3d) ).
thf(371,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ~ ( sameside @ A @ B @ C )
| ~ ( sameside @ D @ B @ E )
| ~ ( sameside @ F @ G @ H )
| ~ ( sameside @ I @ G @ J )
| ~ ( s_e3 @ A @ B @ D @ F @ G @ I )
| ( congruent @ C @ B @ E @ H @ G @ J ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(11,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(134,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)],[11]) ).
thf(74,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(343,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)],[74]) ).
thf(44,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(244,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)],[44]) ).
thf(66,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( s_e @ A @ B @ C @ C )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA3) ).
thf(311,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_e @ A @ B @ C @ C )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( A = B )
| ( sameside @ A @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_5) ).
thf(298,plain,
! [A: $i,B: $i] :
( ( A = B )
| ( sameside @ A @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(15,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(148,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)],[15]) ).
thf(19,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(161,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)],[19]) ).
thf(26,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(180,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)],[26]) ).
thf(24,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(176,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)],[24]) ).
thf(29,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(191,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)],[29]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( A = C )
| ~ ( s_t @ B @ A @ C )
| ~ ( sameside @ D @ A @ B )
| ( s_col @ D @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_15b) ).
thf(259,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( A = C )
| ~ ( s_t @ B @ A @ C )
| ~ ( sameside @ D @ A @ B )
| ( s_col @ D @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(14,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(144,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)],[14]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ( C = D )
| ~ ( s_col @ A @ B @ C )
| ~ ( s_col @ A @ B @ D )
| ~ ( s_col @ C @ D @ E )
| ( s_col @ A @ B @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aExtCol2) ).
thf(236,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ( C = D )
| ~ ( s_col @ A @ B @ C )
| ~ ( s_col @ A @ B @ D )
| ~ ( s_col @ C @ D @ E )
| ( s_col @ A @ B @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(28,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(187,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)],[28]) ).
thf(53,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(274,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)],[53]) ).
thf(68,axiom,
! [A: $i,B: $i] : ( s_e @ A @ B @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA1) ).
thf(318,plain,
! [A: $i,B: $i] : ( s_e @ A @ B @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(62,axiom,
! [A: $i,B: $i] : ( s_e @ A @ A @ B @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_8) ).
thf(303,plain,
! [A: $i,B: $i] : ( s_e @ A @ A @ B @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(75,axiom,
! [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(345,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)],[75]) ).
thf(43,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(240,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)],[43]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( A = C )
| ~ ( s_t @ B @ A @ C )
| ( D != A )
| ( s_col @ D @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_15d) ).
thf(267,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( A = C )
| ~ ( s_t @ B @ A @ C )
| ( D != A )
| ( s_col @ D @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(21,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(167,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)],[21]) ).
thf(81,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( sameside @ ( ext @ B @ A @ E @ D ) @ B @ A ) )
& ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( sameside @ ( ext @ B @ C @ E @ F ) @ B @ C ) )
& ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( sameside @ ( ext @ E @ D @ B @ A ) @ E @ D ) )
& ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( sameside @ ( ext @ E @ F @ B @ C ) @ E @ F ) )
& ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( s_e3 @ ( ext @ B @ A @ E @ D ) @ B @ ( ext @ B @ C @ E @ F ) @ ( ext @ E @ D @ B @ A ) @ E @ ( ext @ E @ F @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_3a) ).
thf(374,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( sameside @ ( ext @ B @ A @ E @ D ) @ B @ A ) )
& ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( sameside @ ( ext @ B @ C @ E @ F ) @ B @ C ) )
& ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( sameside @ ( ext @ E @ D @ B @ A ) @ E @ D ) )
& ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( sameside @ ( ext @ E @ F @ B @ C ) @ E @ F ) )
& ( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ( s_e3 @ ( ext @ B @ A @ E @ D ) @ B @ ( ext @ B @ C @ E @ F ) @ ( ext @ E @ D @ B @ A ) @ E @ ( ext @ E @ F @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(48,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(255,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)],[48]) ).
thf(55,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( sameside @ A @ B @ C )
| ~ ( sameside @ D @ E @ F )
| ~ ( s_e @ B @ A @ E @ D )
| ~ ( s_e @ B @ C @ E @ F )
| ( s_e @ A @ C @ D @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_28) ).
thf(282,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( sameside @ A @ B @ C )
| ~ ( sameside @ D @ E @ F )
| ~ ( s_e @ B @ A @ E @ D )
| ~ ( s_e @ B @ C @ E @ F )
| ( s_e @ A @ C @ D @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(50,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(263,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)],[50]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ~ ( s_col @ A @ B @ C )
| ( s_col @ B @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_17b) ).
thf(203,plain,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ~ ( s_col @ A @ B @ C )
| ( s_col @ B @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(7,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(104,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)],[7]) ).
thf(79,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ~ ( sameside @ G @ B @ A )
| ~ ( sameside @ H @ B @ C )
| ~ ( sameside @ I @ E @ D )
| ~ ( sameside @ J @ E @ F )
| ~ ( s_e @ B @ G @ E @ I )
| ~ ( s_e @ B @ H @ E @ J )
| ( s_e @ G @ H @ I @ J ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_4) ).
thf(368,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ~ ( congruent @ A @ B @ C @ D @ E @ F )
| ~ ( sameside @ G @ B @ A )
| ~ ( sameside @ H @ B @ C )
| ~ ( sameside @ I @ E @ D )
| ~ ( sameside @ J @ E @ F )
| ~ ( s_e @ B @ G @ E @ I )
| ~ ( s_e @ B @ H @ E @ J )
| ( s_e @ G @ H @ I @ J ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(46,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(250,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)],[46]) ).
thf(40,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(231,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)],[40]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( C = A )
| ~ ( s_col @ A @ B @ C )
| ~ ( s_col @ A @ B @ D )
| ( s_col @ A @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_16b) ).
thf(207,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A = B )
| ( C = A )
| ~ ( s_col @ A @ B @ C )
| ~ ( s_col @ A @ B @ D )
| ( s_col @ A @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(52,axiom,
! [A: $i,B: $i] : ( s_col @ A @ B @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
thf(272,plain,
! [A: $i,B: $i] : ( s_col @ A @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(16,axiom,
! [A: $i,B: $i] : ( s_t @ A @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_3) ).
thf(151,plain,
! [A: $i,B: $i] : ( s_t @ A @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(67,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(315,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)],[67]) ).
thf(63,axiom,
! [A: $i,B: $i] : ( s_e @ A @ B @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_1) ).
thf(305,plain,
! [A: $i,B: $i] : ( s_e @ A @ B @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(30,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(195,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)],[30]) ).
thf(59,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i] :
( ~ ( sameside @ A @ B @ C )
| ~ ( sameside @ D @ B @ E )
| ~ ( sameside @ F @ G @ H )
| ~ ( sameside @ I @ G @ J )
| ~ ( s_e3 @ A @ B @ D @ F @ G @ I )
| ( K = B )
| ( L = B )
| ( M = G )
| ( N = G )
| ~ ( sameside @ C @ B @ K )
| ~ ( sameside @ E @ B @ L )
| ~ ( sameside @ H @ G @ M )
| ~ ( sameside @ J @ G @ N )
| ~ ( s_e @ B @ C @ G @ H )
| ~ ( s_e @ B @ E @ G @ J )
| ( s_e @ C @ E @ H @ J ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_4d) ).
thf(294,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i] :
( ~ ( sameside @ A @ B @ C )
| ~ ( sameside @ D @ B @ E )
| ~ ( sameside @ F @ G @ H )
| ~ ( sameside @ I @ G @ J )
| ~ ( s_e3 @ A @ B @ D @ F @ G @ I )
| ( K = B )
| ( L = B )
| ( M = G )
| ( N = G )
| ~ ( sameside @ C @ B @ K )
| ~ ( sameside @ E @ B @ L )
| ~ ( sameside @ H @ G @ M )
| ~ ( sameside @ J @ G @ N )
| ~ ( s_e @ B @ C @ G @ H )
| ~ ( s_e @ B @ E @ G @ J )
| ( s_e @ C @ E @ H @ J ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(12,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(136,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)],[12]) ).
thf(25,axiom,
! [A: $i,B: $i] : ( s_t @ A @ B @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_1) ).
thf(178,plain,
! [A: $i,B: $i] : ( s_t @ A @ B @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(54,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(277,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)],[54]) ).
thf(3,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(90,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)],[3]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ( C = B )
| ( congruent @ A @ B @ C @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_6) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( A = B )
| ( C = B )
| ( congruent @ A @ B @ C @ A @ B @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(83,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( A = B )
| ( C = B )
| ( congruent @ A @ B @ C @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(65,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(309,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)],[65]) ).
thf(78,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(364,plain,
! [A: $i,B: $i,C: $i] :
( ~ ( s_e @ A @ B @ C @ C )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(411,plain,
$false,
inference(cvc4,[status(thm)],[339,331,336,139,101,352,170,247,385,153,301,320,184,110,125,157,93,228,289,216,106,211,253,307,292,233,201,220,334,165,197,361,97,285,224,173,371,134,343,244,311,298,148,161,180,176,191,259,144,236,187,274,318,303,345,240,267,167,374,255,282,263,203,104,368,250,231,207,272,151,315,305,195,294,136,178,277,90,83,309,364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO531+1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n021.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 : Fri May 19 04:19:13 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.86/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.51/1.05 % [INFO] Parsing done (206ms).
% 1.51/1.06 % [INFO] Running in sequential loop mode.
% 2.22/1.26 % [INFO] eprover registered as external prover.
% 2.22/1.27 % [INFO] cvc4 registered as external prover.
% 2.22/1.27 % [INFO] Scanning for conjecture ...
% 2.47/1.36 % [INFO] Found a conjecture and 221 axioms. Running axiom selection ...
% 2.65/1.43 % [INFO] Axiom selection finished. Selected 80 axioms (removed 141 axioms).
% 3.14/1.55 % [INFO] Problem is first-order (TPTP FOF).
% 3.14/1.57 % [INFO] Type checking passed.
% 3.14/1.57 % [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 ...
% 7.51/2.73 % External prover 'cvc4' found a proof!
% 7.51/2.73 % [INFO] Killing All external provers ...
% 7.51/2.73 % Time passed: 2209ms (effective reasoning time: 1673ms)
% 7.51/2.73 % 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)>
% 7.51/2.74 % Axioms used in derivation (80): aSatz4_16, aSatz6_2b, aSatz3_5a, aSatz4_3, aSatz6_21, aSatz3_4, aSatz6_5, aSatz2_13, aSatz2_3, aSatz6_16b, aSatz4_5, aSatz4_11d, aSatz6_2a, d_Defn4_4, aSatz3_1, aSatz5_2, aExtCol2, aSatz6_15d, aSatz6_4b, aA1, aext1, aSatz6_3b, aA5, aSatz6_18, aSatz6_6, d_Defn4_15, aSatz2_12, aSatz3_3, aSatz3_5b, aSatz4_11c, d_Defn4_10, aSatz5_1, aSatz4_19, aSatz6_15a, aSatz4_14, aSatz6_15c, aSatz2_1, aSatz6_11b, d_Defn4_1, aA2, aSatz4_11b, aSatz11_4, aSatz2_5, aSatz3_6b, aA3, aSatz3_2, aA6, aSatz3_6a, aNarbouxLemma1, aSatz6_17a, aSatz4_18, aSatz2_2, aSatz6_28, aSatz4_12b, aSatz2_15, aSatz4_11a, aSatz11_3d, aSatz6_11a, aSatz6_15b, aSatz11_3a, aSatz2_4, aSatz11_4b, aA4, aSatz6_16a, aSatz3_7a, aSatz6_17b, aSatz4_6, aSatz4_13, aSatz2_11, aSatz2_14, aSatz4_11e, aSatz11_4d, aSatz4_12, aSatz4_17, aSatz5_3, aSatz2_8, aSatz4_2, aSatz6_4a, aSatz3_7b, aSatz6_7
% 7.51/2.74 % No. of inferences in proof: 164
% 7.51/2.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2209 ms resp. 1673 ms w/o parsing
% 7.51/2.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.51/2.80 % [INFO] Killing All external provers ...
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