%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GEO494+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:13:24 AM UTC 2026
% Result : Theorem 6.88s 2.32s
% Output : Refutation 7.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 67
% Syntax : Number of formulae : 136 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 518 ( 44 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 2754 ( 306 ~; 318 |; 64 &;2066 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 4 con; 0-8 aty)
% Number of variables : 556 ( 0 ^; 556 !; 0 ?; 556 :)
% Comments :
%------------------------------------------------------------------------------
thf(le_decl,type,
le: $i > $i > $i > $i > $o ).
thf(alpha_decl,type,
alpha: $i ).
thf(beta_decl,type,
beta: $i ).
thf(gamma_decl,type,
gamma: $i ).
thf(s_col_decl,type,
s_col: $i > $i > $i > $o ).
thf(s_fs_decl,type,
s_fs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(s_e3_decl,type,
s_e3: $i > $i > $i > $i > $i > $i > $o ).
thf(s_e_decl,type,
s_e: $i > $i > $i > $i > $o ).
thf(s_t_decl,type,
s_t: $i > $i > $i > $o ).
thf(insert5_decl,type,
insert5: $i > $i > $i > $i > $i > $i ).
thf(ip_decl,type,
ip: $i > $i > $i > $i > $i > $i ).
thf(s_ifs_decl,type,
s_ifs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(ext_decl,type,
ext: $i > $i > $i > $i > $i ).
thf(s_afs_decl,type,
s_afs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(insert_decl,type,
insert: $i > $i > $i > $i > $i ).
thf(crossbar_decl,type,
crossbar: $i > $i > $i > $i > $i > $i > $i ).
thf(ins_decl,type,
ins: $i > $i > $i > $i > $i ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( B @ ( A @ le ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ le ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_8) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( B @ ( A @ le ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ le ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(69,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( B @ ( A @ le ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ le ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,axiom,
! [A: $i,B: $i] : ( A @ ( B @ ( B @ ( A @ s_e ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA1) ).
thf(153,plain,
! [A: $i,B: $i] : ( A @ ( B @ ( B @ ( A @ s_e ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ s_t ) ) )
| ~ ( D @ ( C @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6a) ).
thf(174,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ s_t ) ) )
| ~ ( D @ ( C @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ insert5 ) ) ) ) @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_14) ).
thf(125,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ insert5 ) ) ) ) @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( D @ s_col ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_13) ).
thf(97,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( D @ s_col ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( A @ s_t ) ) )
| ~ ( C @ ( D @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5b) ).
thf(118,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( A @ s_t ) ) )
| ~ ( C @ ( D @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( E @ ( C @ ( D @ ( C @ s_e ) ) ) )
| ~ ( E @ ( B @ ( D @ ( B @ s_e ) ) ) )
| ~ ( E @ ( A @ ( D @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_17) ).
thf(167,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( E @ ( C @ ( D @ ( C @ s_e ) ) ) )
| ~ ( E @ ( B @ ( D @ ( B @ s_e ) ) ) )
| ~ ( E @ ( A @ ( D @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( E @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_3) ).
thf(171,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( E @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ ip ) ) ) ) @ ( E @ s_t ) ) )
| ~ ( C @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ ip ) ) ) ) @ ( B @ s_t ) ) )
| ~ ( C @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA7) ).
thf(131,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( A @ ( E @ ( D @ ( C @ ( B @ ( A @ ip ) ) ) ) @ ( E @ s_t ) ) )
| ~ ( C @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ ip ) ) ) ) @ ( B @ s_t ) ) )
| ~ ( C @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(53,axiom,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ~ ( C @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA3) ).
thf(276,plain,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ~ ( C @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ~ ( C @ ( A @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_4) ).
thf(247,plain,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ~ ( C @ ( A @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_15) ).
thf(202,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(55,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( D @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5a) ).
thf(284,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( D @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(66,axiom,
! [A: $i,B: $i] : ( B @ ( A @ ( B @ ( A @ le ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_7) ).
thf(325,plain,
! [A: $i,B: $i] : ( B @ ( A @ ( B @ ( A @ le ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(4,axiom,
beta != gamma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13b) ).
thf(78,plain,
beta != gamma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) )
| ~ ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( E @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( C @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( E @ s_t ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( C @ ( B @ ( A @ s_t ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn2_10) ).
thf(179,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) )
| ~ ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( E @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( C @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( E @ s_t ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) )
& ( ( C @ ( B @ ( A @ s_t ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_afs ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11b) ).
thf(106,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B = D )
| ~ ( D @ ( C @ ( B @ ( C @ s_e ) ) ) )
| ~ ( D @ ( A @ ( B @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_19) ).
thf(121,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B = D )
| ~ ( D @ ( C @ ( B @ ( C @ s_e ) ) ) )
| ~ ( D @ ( A @ ( B @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ~ ( C @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_13) ).
thf(280,plain,
! [A: $i,B: $i,C: $i] :
( ( A = B )
| ~ ( C @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(57,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( D @ ( C @ s_e ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA2) ).
thf(293,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( D @ ( C @ s_e ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C = D )
| ~ ( D @ ( B @ ( C @ ( B @ s_e ) ) ) )
| ~ ( D @ ( A @ ( C @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_18) ).
thf(243,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C = D )
| ~ ( D @ ( B @ ( C @ ( B @ s_e ) ) ) )
| ~ ( D @ ( A @ ( C @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(62,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_3) ).
thf(307,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11c) ).
thf(102,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(47,axiom,
! [A: $i,B: $i] : ( B @ ( A @ ( B @ ( A @ s_e ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_1) ).
thf(260,plain,
! [A: $i,B: $i] : ( B @ ( A @ ( B @ ( A @ s_e ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( D @ ( C @ s_e ) ) ) )
| ~ ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( C @ ( B @ s_e ) ) ) )
| ~ ( G @ ( E @ ( C @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( E @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( H @ ( G @ ( D @ ( C @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( C @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( G @ ( E @ ( C @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( E @ s_t ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( C @ ( B @ ( A @ s_t ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_1) ).
thf(137,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) )
| ~ ( H @ ( G @ ( D @ ( C @ s_e ) ) ) )
| ~ ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( C @ ( B @ s_e ) ) ) )
| ~ ( G @ ( E @ ( C @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( E @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( H @ ( G @ ( D @ ( C @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( C @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( G @ ( E @ ( C @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( E @ s_t ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) )
& ( ( C @ ( B @ ( A @ s_t ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,axiom,
! [A: $i,B: $i] : ( gamma @ ( alpha @ ( B @ ( A @ ext ) ) ) @ ( B @ ( A @ s_t ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_14a) ).
thf(165,plain,
! [A: $i,B: $i] : ( gamma @ ( alpha @ ( B @ ( A @ ext ) ) ) @ ( B @ ( A @ s_t ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( E @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ crossbar ) ) ) ) ) @ ( B @ s_t ) ) )
| ~ ( D @ ( F @ ( A @ s_t ) ) )
| ~ ( C @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( C @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ crossbar ) ) ) ) ) @ ( F @ s_t ) ) )
| ~ ( D @ ( F @ ( A @ s_t ) ) )
| ~ ( C @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_17) ).
thf(225,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( E @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ crossbar ) ) ) ) ) @ ( B @ s_t ) ) )
| ~ ( D @ ( F @ ( A @ s_t ) ) )
| ~ ( C @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( C @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ crossbar ) ) ) ) ) @ ( F @ s_t ) ) )
| ~ ( D @ ( F @ ( A @ s_t ) ) )
| ~ ( C @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(36,axiom,
! [A: $i,B: $i] : ( B @ ( B @ ( A @ s_t ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_1) ).
thf(212,plain,
! [A: $i,B: $i] : ( B @ ( B @ ( A @ s_t ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( G @ ( D @ ( C @ s_e ) ) ) )
| ( A = B )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_16) ).
thf(205,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( G @ ( D @ ( C @ s_e ) ) ) )
| ( A = B )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( A = B )
| ~ ( A @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA6) ).
thf(128,plain,
! [A: $i,B: $i] :
( ( A = B )
| ~ ( A @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(43,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( E @ ( E @ ( D @ ( B @ ( A @ insert ) ) ) @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( E @ ( E @ ( D @ ( B @ ( A @ insert ) ) ) @ ( D @ s_t ) ) )
| ~ ( E @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_5) ).
thf(237,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( E @ ( E @ ( D @ ( B @ ( A @ insert ) ) ) @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) )
& ( ( E @ ( E @ ( D @ ( B @ ( A @ insert ) ) ) @ ( D @ s_t ) ) )
| ~ ( E @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( A @ s_t ) ) )
| ( D @ ( C @ ( A @ s_t ) ) )
| ~ ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_1) ).
thf(264,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( A @ s_t ) ) )
| ( D @ ( C @ ( A @ s_t ) ) )
| ~ ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(58,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( B @ s_t ) ) )
| ( D @ ( C @ ( B @ s_t ) ) )
| ~ ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_2) ).
thf(296,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( B @ s_t ) ) )
| ( D @ ( C @ ( B @ s_t ) ) )
| ~ ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(15,axiom,
( ~ ( beta @ ( alpha @ ( gamma @ s_t ) ) )
& ~ ( alpha @ ( gamma @ ( beta @ s_t ) ) )
& ~ ( gamma @ ( beta @ ( alpha @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA8) ).
thf(113,plain,
( ~ ( beta @ ( alpha @ ( gamma @ s_t ) ) )
& ~ ( alpha @ ( gamma @ ( beta @ s_t ) ) )
& ~ ( gamma @ ( beta @ ( alpha @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(52,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( A @ ( B @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_4) ).
thf(274,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( A @ ( B @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ ( A @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11e) ).
thf(81,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ ( A @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(60,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_2) ).
thf(303,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_ifs ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( D @ ( A @ s_t ) ) )
| ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( D @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_3) ).
thf(271,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( D @ ( A @ s_t ) ) )
| ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( D @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( A @ ( B @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_14) ).
thf(208,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( A @ ( B @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( B @ ( A @ ( C @ s_t ) ) )
| ( C @ ( B @ ( A @ s_col ) ) ) )
& ( ~ ( A @ ( C @ ( B @ s_t ) ) )
| ( C @ ( B @ ( A @ s_col ) ) ) )
& ( ~ ( C @ ( B @ ( A @ s_t ) ) )
| ( C @ ( B @ ( A @ s_col ) ) ) )
& ( ( B @ ( A @ ( C @ s_t ) ) )
| ( A @ ( C @ ( B @ s_t ) ) )
| ( C @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_10) ).
thf(155,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( B @ ( A @ ( C @ s_t ) ) )
| ( C @ ( B @ ( A @ s_col ) ) ) )
& ( ~ ( A @ ( C @ ( B @ s_t ) ) )
| ( C @ ( B @ ( A @ s_col ) ) ) )
& ( ~ ( C @ ( B @ ( A @ s_t ) ) )
| ( C @ ( B @ ( A @ s_col ) ) ) )
& ( ( B @ ( A @ ( C @ s_t ) ) )
| ( A @ ( C @ ( B @ s_t ) ) )
| ( C @ ( B @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(13,axiom,
alpha != gamma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13c) ).
thf(108,plain,
alpha != gamma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
! [A: $i,B: $i] : ( B @ ( A @ ( A @ s_col ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12) ).
thf(95,plain,
! [A: $i,B: $i] : ( B @ ( A @ ( A @ s_col ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(67,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( B @ ( A @ ( D @ ( C @ ins ) ) ) )
= ( D @ ( D @ ( C @ ( B @ ( A @ insert ) ) ) @ ( B @ ( A @ ext ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) )
& ( ( D @ ( C @ ( B @ ( A @ ( D @ ( C @ ins ) ) ) @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) )
& ( ( B @ ( A @ ( D @ ( C @ ins ) ) ) @ ( B @ ( A @ s_t ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_5a) ).
thf(327,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( B @ ( A @ ( D @ ( C @ ins ) ) ) )
= ( D @ ( D @ ( C @ ( B @ ( A @ insert ) ) ) @ ( B @ ( A @ ext ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) )
& ( ( D @ ( C @ ( B @ ( A @ ( D @ ( C @ ins ) ) ) @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) )
& ( ( B @ ( A @ ( D @ ( C @ ins ) ) ) @ ( B @ ( A @ s_t ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(63,axiom,
! [A: $i,B: $i] :
( A
!= ( gamma @ ( alpha @ ( A @ ( B @ ext ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_14b) ).
thf(310,plain,
! [A: $i,B: $i] :
( A
!= ( gamma @ ( alpha @ ( A @ ( B @ ext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( D @ ( C @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6b) ).
thf(199,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ ( A @ s_t ) ) )
| ~ ( D @ ( C @ ( A @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(28,axiom,
! [A: $i,B: $i] : ( B @ ( A @ ( A @ s_t ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_3) ).
thf(177,plain,
! [A: $i,B: $i] : ( B @ ( A @ ( A @ s_t ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(68,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( D @ ( C @ ( E @ ( A @ s_e ) ) ) )
| ~ ( E @ ( B @ ( A @ s_t ) ) )
| ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_5b) ).
thf(336,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( D @ ( C @ ( E @ ( A @ s_e ) ) ) )
| ~ ( E @ ( B @ ( A @ s_t ) ) )
| ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(64,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( C @ ( B @ ( A @ le ) ) ) )
| ~ ( E @ ( C @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( E @ ( C @ s_t ) ) ) )
& ( ( D @ ( C @ ( B @ ( A @ insert ) ) ) @ ( C @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) )
& ( ( D @ ( D @ ( C @ ( B @ ( A @ insert ) ) ) @ ( C @ s_t ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn5_4) ).
thf(314,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( D @ ( C @ ( B @ ( A @ le ) ) ) )
| ~ ( E @ ( C @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( E @ ( C @ s_t ) ) ) )
& ( ( D @ ( C @ ( B @ ( A @ insert ) ) ) @ ( C @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) )
& ( ( D @ ( D @ ( C @ ( B @ ( A @ insert ) ) ) @ ( C @ s_t ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( F @ ( G @ ( E @ s_e ) ) ) )
| ( A = B )
| ~ ( F @ ( D @ ( C @ s_t ) ) )
| ~ ( E @ ( B @ ( A @ s_t ) ) )
| ~ ( H @ ( D @ ( G @ ( B @ s_e ) ) ) )
| ~ ( H @ ( C @ ( G @ ( A @ s_e ) ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA5) ).
thf(218,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( F @ ( G @ ( E @ s_e ) ) ) )
| ( A = B )
| ~ ( F @ ( D @ ( C @ s_t ) ) )
| ~ ( E @ ( B @ ( A @ s_t ) ) )
| ~ ( H @ ( D @ ( G @ ( B @ s_e ) ) ) )
| ~ ( H @ ( C @ ( G @ ( A @ s_e ) ) ) )
| ~ ( F @ ( D @ ( E @ ( B @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11a) ).
thf(104,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ s_e ) ) ) ) )
& ( ( F @ ( E @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) ) )
& ( ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) ) )
& ( ( E @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_4) ).
thf(250,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ s_e ) ) ) ) )
& ( ( F @ ( E @ ( C @ ( B @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) ) )
& ( ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) ) )
& ( ( E @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C
= ( E @ ( D @ ( B @ ( A @ ext ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_12) ).
thf(231,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( C
= ( E @ ( D @ ( B @ ( A @ ext ) ) ) ) )
| ~ ( E @ ( D @ ( C @ ( B @ s_e ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(3,axiom,
alpha != beta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13a) ).
thf(75,plain,
alpha != beta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( A @ ( D @ ( C @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2) ).
thf(235,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ ( A @ ( D @ ( C @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( A @ s_t ) ) )
| ( B = C )
| ~ ( D @ ( C @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_7a) ).
thf(214,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( A @ s_t ) ) )
| ( B = C )
| ~ ( D @ ( C @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(56,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( D @ ( C @ ( B @ ( A @ ext ) ) ) @ ( B @ s_e ) ) ) )
& ( D @ ( C @ ( B @ ( A @ ext ) ) ) @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA4) ).
thf(287,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( D @ ( C @ ( B @ ( A @ ext ) ) ) @ ( B @ s_e ) ) ) )
& ( D @ ( C @ ( B @ ( A @ ext ) ) ) @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(59,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( D @ s_t ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_6) ).
thf(300,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ ( D @ s_t ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(48,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_5) ).
thf(262,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ s_e ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(61,axiom,
! [A: $i,B: $i] : ( B @ ( B @ ( A @ ( A @ s_e ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_8) ).
thf(305,plain,
! [A: $i,B: $i] : ( B @ ( B @ ( A @ ( A @ s_e ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_2) ).
thf(210,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ ( C @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(50,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ s_e ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_11) ).
thf(268,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( D @ ( C @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ s_e ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ s_e ) ) ) )
| ~ ( F @ ( E @ ( D @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ ( A @ s_t ) ) )
| ( B = C )
| ~ ( D @ ( C @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_7b) ).
thf(195,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ ( A @ s_t ) ) )
| ( B = C )
| ~ ( D @ ( C @ ( B @ s_t ) ) )
| ~ ( C @ ( B @ ( A @ s_t ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(14,axiom,
! [A: $i,B: $i] : ( A @ ( B @ ( A @ s_col ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12b) ).
thf(111,plain,
! [A: $i,B: $i] : ( A @ ( B @ ( A @ s_col ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(65,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( G @ ( F @ ( E @ le ) ) ) )
| ~ ( H @ ( G @ ( D @ ( C @ s_e ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_6) ).
thf(322,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( H @ ( G @ ( F @ ( E @ le ) ) ) )
| ~ ( H @ ( G @ ( D @ ( C @ s_e ) ) ) )
| ~ ( F @ ( E @ ( B @ ( A @ s_e ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ le ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) )
| ~ ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( E @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) )
& ( ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) )
& ( ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( E @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) )
& ( ( C @ ( B @ ( A @ s_col ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_15) ).
thf(83,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) )
| ~ ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( G @ ( F @ ( E @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) )
& ( ( H @ ( F @ ( D @ ( B @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) )
& ( ( H @ ( E @ ( D @ ( A @ s_e ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) )
& ( ( G @ ( F @ ( E @ ( C @ ( B @ ( A @ s_e3 ) ) ) ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) )
& ( ( C @ ( B @ ( A @ s_col ) ) )
| ~ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ s_fs ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ insert ) ) ) )
= ( B @ ( A @ ( C @ ( gamma @ ( alpha @ ( C @ ( D @ ext ) ) ) @ ext ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_insert) ).
thf(222,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ insert ) ) ) )
= ( B @ ( A @ ( C @ ( gamma @ ( alpha @ ( C @ ( D @ ext ) ) ) @ ext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( A @ ( B @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11d) ).
thf(100,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( A @ ( B @ s_col ) ) )
| ~ ( C @ ( B @ ( A @ s_col ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(380,plain,
$false,
inference(e,[status(thm)],[69,153,174,125,97,118,167,171,131,276,247,202,284,325,78,179,106,121,280,293,243,307,102,260,137,165,225,212,205,128,237,264,296,113,274,81,303,271,208,155,108,95,327,310,199,177,336,314,218,104,250,231,75,235,214,287,300,262,305,210,268,195,111,322,83,222,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO494+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.41 % Computer : n005.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Fri Sep 25 13:35:47 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.67/0.72 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.90/0.89 % [INFO] Parsing done (164ms).
% 0.90/0.89 % [INFO] Running in sequential loop mode.
% 1.71/1.10 % [INFO] eprover registered as external prover.
% 1.71/1.10 % [INFO] Scanning for conjecture ...
% 1.97/1.16 % [INFO] Found a conjecture (or negated_conjecture) and 66 axioms. Running axiom selection ...
% 2.15/1.21 % [INFO] Axiom selection finished. Selected 66 axioms (removed 0 axioms).
% 2.46/1.31 % [INFO] Problem is first-order (TPTP FOF).
% 2.46/1.32 % [INFO] Type checking passed.
% 2.46/1.33 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 6.88/2.32 % External prover 'e' found a proof!
% 6.88/2.32 % [INFO] Killing All external provers ...
% 6.88/2.32 % Time passed: 1808ms (effective reasoning time: 1421ms)
% 6.88/2.32 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.88/2.32 % Axioms used in derivation (66): aSatz3_4, aSatz4_5, aSatz5_2, aA1, aA5, aSatz3_5a, aSatz4_3, aSatz4_12b, aA7, aSatz3_7a, aSatz3_7b, aSatz2_13, aSatz3_14b, aSatz2_3, d_Defn5_4, aSatz4_11d, aSatz5_6, d_Defn4_4, aSatz3_1, aSatz3_13c, aSatz4_16, d_insert, aSatz3_13a, d_Defn4_15, aSatz2_12, aSatz3_3, aSatz3_5b, aSatz3_17, aSatz4_11c, d_Defn4_10, aSatz5_1, aSatz3_13b, aSatz4_19, aSatz4_14, aSatz2_1, d_Defn4_1, aA2, aSatz4_11b, aSatz2_5, aSatz3_6b, aA3, aSatz3_2, aA6, aSatz3_6a, aSatz4_18, aSatz2_2, aSatz5_5a, aSatz2_15, aSatz4_11a, aSatz2_4, aSatz3_14a, aA4, aSatz4_6, aSatz5_7, aSatz4_13, aSatz2_11, aSatz2_14, d_Defn2_10, aSatz4_11e, aSatz5_5b, aSatz4_12, aSatz4_17, aSatz5_3, aSatz2_8, aSatz4_2, aA8
% 6.88/2.32 % No. of inferences in proof: 136
% 6.88/2.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1808 ms resp. 1421 ms w/o parsing
% 7.28/2.43 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.28/2.44 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------