%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEU449+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:39:01 AM UTC 2026
% Result : Theorem 28.80s 6.75s
% Output : Refutation 25.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 58
% Syntax : Number of formulae : 186 ( 65 unt; 0 typ; 10 def)
% Number of atoms : 468 ( 79 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1761 ( 125 ~; 47 |; 73 &;1426 @)
% ( 3 <=>; 87 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 34 usr; 11 con; 0-4 aty)
% Number of variables : 299 ( 3 ^; 263 !; 23 ?; 299 :)
% ( 0 !>; 0 ?*; 0 @-; 10 @+)
% Comments :
%------------------------------------------------------------------------------
thf(m1_subset_1_decl,type,
m1_subset_1: $i > $i > $o ).
thf(k1_zfmisc_1_decl,type,
k1_zfmisc_1: $i > $i ).
thf(m2_relset_1_decl,type,
m2_relset_1: $i > $i > $i > $o ).
thf(r1_tarski_decl,type,
r1_tarski: $i > $i > $o ).
thf(k8_relset_2_decl,type,
k8_relset_2: $i > $i > $i > $i > $i ).
thf(k6_relset_1_decl,type,
k6_relset_1: $i > $i > $i > $i ).
thf(m1_relset_1_decl,type,
m1_relset_1: $i > $i > $i > $o ).
thf(v1_xboole_0_decl,type,
v1_xboole_0: $i > $o ).
thf(k4_relat_1_decl,type,
k4_relat_1: $i > $i ).
thf(v1_relat_1_decl,type,
v1_relat_1: $i > $o ).
thf(v3_relat_1_decl,type,
v3_relat_1: $i > $o ).
thf(k2_zfmisc_1_decl,type,
k2_zfmisc_1: $i > $i > $i ).
thf(k1_xboole_0_decl,type,
k1_xboole_0: $i ).
thf(r2_hidden_decl,type,
r2_hidden: $i > $i > $o ).
thf(m1_eqrel_1_decl,type,
m1_eqrel_1: $i > $i > $o ).
thf(k3_pua2mss1_decl,type,
k3_pua2mss1: $i > $i ).
thf(v1_funct_1_decl,type,
v1_funct_1: $i > $o ).
thf(k5_relset_2_decl,type,
k5_relset_2: $i > $i > $i ).
thf(k4_relset_2_decl,type,
k4_relset_2: $i > $i > $i > $i > $i ).
thf(k9_relat_1_decl,type,
k9_relat_1: $i > $i > $i ).
thf(k6_relset_2_decl,type,
k6_relset_2: $i > $i > $i > $i ).
thf(v1_funct_2_decl,type,
v1_funct_2: $i > $i > $i > $o ).
thf(k7_relset_2_decl,type,
k7_relset_2: $i > $i > $i > $i > $i ).
thf(k8_setfam_1_decl,type,
k8_setfam_1: $i > $i > $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk6_decl,type,
sk6: $i > $i > $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk12_decl,type,
sk12: $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( B @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
=> ! [E: $i] :
( ( B @ ( A @ ( E @ m2_relset_1 ) ) )
=> ( ( E @ ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( D @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( D @ r1_tarski ) )
& ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( E @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( C @ r1_tarski ) ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i] :
( ( sk1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ! [C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( A @ ( sk1 @ ( D @ m2_relset_1 ) ) )
=> ( ( D @ ( D @ ( A @ ( sk1 @ k6_relset_1 ) ) @ ( C @ ( sk1 @ ( A @ k8_relset_2 ) ) ) @ ( A @ ( sk1 @ k8_relset_2 ) ) ) @ ( C @ r1_tarski ) )
& ( D @ ( A @ ( sk1 @ k6_relset_1 ) ) @ ( D @ ( B @ ( A @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( A @ k8_relset_2 ) ) ) @ ( B @ r1_tarski ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ( ( sk1 @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
=> ! [B: $i] :
( ( sk2 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ! [C: $i] :
( ( sk2 @ ( sk1 @ ( C @ m2_relset_1 ) ) )
=> ( ( C @ ( C @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( B @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( B @ r1_tarski ) )
& ( C @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( C @ ( A @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( A @ r1_tarski ) ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
~ ( ( sk2 @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
=> ! [B: $i] :
( ( sk2 @ ( sk1 @ ( B @ m2_relset_1 ) ) )
=> ( ( B @ ( B @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( A @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( A @ r1_tarski ) )
& ( B @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( B @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i] :
~ ( ( sk2 @ ( sk1 @ ( A @ m2_relset_1 ) ) )
=> ( ( A @ ( A @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) )
& ( A @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( A @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( ^ [A: $i,B: $i] :
@+[C: $i] : ( A @ ( B @ ( C @ m1_relset_1 ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
( ( A @ v3_relat_1 )
& ( A @ v1_relat_1 ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i] :
( ( A @ v1_relat_1 )
& ( A @ v1_xboole_0 ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
( ( A @ v1_relat_1 )
& ~ ( A @ v1_xboole_0 ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( ^ [A: $i] :
@+[B: $i] :
( ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ) ) ).
thf(42,axiom,
! [A: $i] :
~ ( A @ k1_zfmisc_1 @ v1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(174,plain,
! [A: $i] :
~ ( A @ k1_zfmisc_1 @ v1_xboole_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( B @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
=> ! [E: $i] :
( ( B @ ( A @ ( E @ m2_relset_1 ) ) )
=> ( ( E @ ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( D @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( D @ r1_tarski ) )
& ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( E @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( C @ r1_tarski ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_relset_2) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( B @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
=> ! [E: $i] :
( ( B @ ( A @ ( E @ m2_relset_1 ) ) )
=> ( ( E @ ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( D @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( D @ r1_tarski ) )
& ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( E @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( C @ r1_tarski ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(50,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( B @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
=> ! [E: $i] :
( ( B @ ( A @ ( E @ m2_relset_1 ) ) )
=> ( ( E @ ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( D @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( D @ r1_tarski ) )
& ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( E @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( C @ r1_tarski ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(51,plain,
( ( ~ ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) )
| ~ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) )
& ( sk2 @ ( sk1 @ ( sk5 @ m2_relset_1 ) ) )
& ( sk2 @ k1_zfmisc_1 @ ( sk4 @ m1_subset_1 ) )
& ( sk1 @ k1_zfmisc_1 @ ( sk3 @ m1_subset_1 ) ) ),
inference(cnf,[status(esa)],[50]) ).
thf(55,plain,
( ~ ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) )
| ~ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) ),
inference(cnfConj,[status(thm)],[51]) ).
thf(214,plain,
( ~ $true
| ( ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) )
!= ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) )
| ~ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) ),
inference(eqfactor_ordered,[status(thm)],[55]) ).
thf(216,plain,
( ( ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) )
!= ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) ) )
| ( sk4 != sk3 )
| ~ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) ),
inference(simp,[status(thm)],[214]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ m1_subset_1 ) )
=> ( ( B @ ( A @ r2_hidden ) )
| ( B @ v1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
thf(129,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ m1_subset_1 ) )
=> ( ( B @ ( A @ r2_hidden ) )
| ( B @ v1_xboole_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( C @ v1_relat_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
thf(123,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( C @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_relat_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
thf(99,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(16,axiom,
! [A: $i,B: $i] :
? [C: $i] :
( ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
thf(94,plain,
! [A: $i,B: $i] :
? [C: $i] :
( ( C @ v1_funct_1 )
& ( C @ v1_relat_1 )
& ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,axiom,
? [A: $i] :
( ( A @ v1_relat_1 )
& ( A @ v1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
thf(66,plain,
? [A: $i] :
( ( A @ v1_relat_1 )
& ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(67,plain,
( ( sk8 @ v1_relat_1 )
& ( sk8 @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[66]) ).
thf(69,plain,
sk8 @ v1_relat_1,
inference(cnfConj,[status(thm)],[67]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( B @ v1_relat_1 )
=> ( ( B @ ( A @ k5_relset_2 ) @ v1_funct_1 )
& ( B @ ( A @ k5_relset_2 ) @ v1_relat_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relset_2) ).
thf(101,plain,
! [A: $i,B: $i] :
( ( B @ v1_relat_1 )
=> ( ( B @ ( A @ k5_relset_2 ) @ v1_funct_1 )
& ( B @ ( A @ k5_relset_2 ) @ v1_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(33,axiom,
! [A: $i,B: $i] : ( A @ ( A @ r1_tarski ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(147,plain,
! [A: $i] : ( A @ ( A @ r1_tarski ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(148,plain,
! [A: $i] : ( A @ ( A @ r1_tarski ) ),
inference(cnf,[status(esa)],[147]) ).
thf(237,plain,
! [A: $i] :
( ( ( A @ ( A @ r1_tarski ) )
!= ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) )
| ~ ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[148,55]) ).
thf(238,plain,
! [A: $i] :
( ( ( A @ ( A @ r1_tarski ) )
!= ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk3 @ r1_tarski ) ) )
| ~ ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) ) ),
inference(simp,[status(thm)],[237]) ).
thf(244,plain,
! [A: $i] :
( ( A
!= ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) ) )
| ( A != sk3 )
| ~ ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) ) ),
inference(simp,[status(thm)],[238]) ).
thf(249,plain,
( ( ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) )
!= sk3 )
| ~ ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) ) ),
inference(simp,[status(thm)],[244]) ).
thf(14,axiom,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( A != B )
& ( A @ v1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(88,plain,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( A != B )
& ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(21,axiom,
? [A: $i] :
( ( A @ v1_relat_1 )
& ~ ( A @ v1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
thf(113,plain,
? [A: $i] :
( ( A @ v1_relat_1 )
& ~ ( A @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(114,plain,
( ( sk10 @ v1_relat_1 )
& ~ ( sk10 @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[113]) ).
thf(115,plain,
~ ( sk10 @ v1_xboole_0 ),
inference(cnfConj,[status(thm)],[114]) ).
thf(68,plain,
sk8 @ v1_xboole_0,
inference(cnfConj,[status(thm)],[67]) ).
thf(200,plain,
( ( ( sk10 @ v1_xboole_0 )
!= ( sk8 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,115]) ).
thf(201,plain,
( ( sk10 @ v1_xboole_0 )
!= ( sk8 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[200]) ).
thf(202,plain,
sk10 != sk8,
inference(simp,[status(thm)],[201]) ).
thf(3,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m1_relset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
thf(56,plain,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m1_relset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ ( A @ r2_hidden ) ) )
=> ( C @ ( A @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
thf(142,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ ( A @ r2_hidden ) ) )
=> ( C @ ( A @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(52,plain,
sk1 @ k1_zfmisc_1 @ ( sk3 @ m1_subset_1 ),
inference(cnfConj,[status(thm)],[51]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ v1_relat_1 )
=> ( ( A @ k4_relat_1 @ k4_relat_1 )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
thf(110,plain,
! [A: $i] :
( ( A @ v1_relat_1 )
=> ( ( A @ k4_relat_1 @ k4_relat_1 )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
=> ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
thf(125,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
=> ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( B @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
=> ! [E: $i] :
( ( B @ ( A @ ( E @ m2_relset_1 ) ) )
=> ( ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( D @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( C @ r1_tarski ) )
<=> ( E @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( D @ r1_tarski ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_relset_2) ).
thf(157,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( B @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
=> ! [E: $i] :
( ( B @ ( A @ ( E @ m2_relset_1 ) ) )
=> ( ( ( E @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( D @ r1_tarski ) )
=> ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( D @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( C @ r1_tarski ) ) )
& ( ( E @ ( B @ ( A @ k6_relset_1 ) ) @ ( D @ ( A @ ( B @ k8_relset_2 ) ) ) @ ( C @ r1_tarski ) )
=> ( E @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ ( D @ r1_tarski ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(57,plain,
! [B: $i,A: $i] : ( B @ ( A @ ( A @ ( B @ sk6 ) @ m1_relset_1 ) ) ),
inference(cnf,[status(esa)],[56]) ).
thf(10,axiom,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(78,plain,
! [A: $i,B: $i] :
~ ( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(116,plain,
sk10 @ v1_relat_1,
inference(cnfConj,[status(thm)],[114]) ).
thf(8,axiom,
( ( k1_xboole_0 @ v1_relat_1 )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
thf(72,plain,
( ( k1_xboole_0 @ v1_relat_1 )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(73,plain,
( ( k1_xboole_0 @ v1_relat_1 )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[72]) ).
thf(74,plain,
k1_xboole_0 @ v1_xboole_0,
inference(cnfConj,[status(thm)],[73]) ).
thf(79,plain,
~ ? [A: $i,B: $i] :
( ( B @ v1_xboole_0 )
& ( B @ ( A @ r2_hidden ) ) ),
inference(miniscope,[status(thm)],[78]) ).
thf(80,plain,
! [B: $i,A: $i] :
( ~ ( B @ v1_xboole_0 )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(cnf,[status(esa)],[79]) ).
thf(231,plain,
! [B: $i,A: $i] :
( ( ( k1_xboole_0 @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ $true
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[74,80]) ).
thf(232,plain,
! [B: $i,A: $i] :
( ( ( k1_xboole_0 @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[231]) ).
thf(233,plain,
! [A: $i] :
~ ( k1_xboole_0 @ ( A @ r2_hidden ) ),
inference(pattern_uni,[status(thm)],[232:[bind(A,$thf( A )),bind(B,$thf( k1_xboole_0 ))]]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( ( A @ k4_relat_1 @ v1_relat_1 )
& ( A @ k4_relat_1 @ v1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc11_relat_1) ).
thf(58,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( ( A @ k4_relat_1 @ v1_relat_1 )
& ( A @ k4_relat_1 @ v1_xboole_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(59,plain,
! [A: $i] :
( ( ( A @ k4_relat_1 @ v1_relat_1 )
| ~ ( A @ v1_xboole_0 ) )
& ( ( A @ k4_relat_1 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ) ),
inference(cnf,[status(esa)],[58]) ).
thf(60,plain,
! [A: $i] :
( ( A @ k4_relat_1 @ v1_xboole_0 )
| ~ ( A @ v1_xboole_0 ) ),
inference(cnfConj,[status(thm)],[59]) ).
thf(22,axiom,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_eqrel_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_eqrel_1) ).
thf(117,plain,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_eqrel_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(265,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A @ k4_relat_1 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[74,60]) ).
thf(266,plain,
! [A: $i] :
( ( ( k1_xboole_0 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A @ k4_relat_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[265]) ).
thf(267,plain,
k1_xboole_0 @ k4_relat_1 @ v1_xboole_0,
inference(pattern_uni,[status(thm)],[266:[bind(A,$thf( k1_xboole_0 ))]]) ).
thf(296,plain,
( ( ( k1_xboole_0 @ k4_relat_1 @ v1_xboole_0 )
!= ( sk10 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[267,115]) ).
thf(297,plain,
( ( k1_xboole_0 @ k4_relat_1 @ v1_xboole_0 )
!= ( sk10 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[296]) ).
thf(302,plain,
( ( k1_xboole_0 @ k4_relat_1 )
!= sk10 ),
inference(simp,[status(thm)],[297]) ).
thf(7,axiom,
! [A: $i,B: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_sysrel) ).
thf(70,plain,
! [A: $i,B: $i] : ( B @ ( A @ k2_zfmisc_1 ) @ v1_relat_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ~ ( A @ ( B @ r2_hidden ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(92,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ~ ( A @ ( B @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( B @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( D @ ( C @ ( B @ ( A @ k4_relset_2 ) ) ) @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relset_2) ).
thf(197,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( B @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( D @ ( C @ ( B @ ( A @ k4_relset_2 ) ) ) @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(5,axiom,
? [A: $i] :
( ( A @ v3_relat_1 )
& ( A @ v1_relat_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
thf(62,plain,
? [A: $i] :
( ( A @ v3_relat_1 )
& ( A @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(63,plain,
( ( sk7 @ v3_relat_1 )
& ( sk7 @ v1_relat_1 ) ),
inference(cnf,[status(esa)],[62]) ).
thf(65,plain,
sk7 @ v3_relat_1,
inference(cnfConj,[status(thm)],[63]) ).
thf(23,axiom,
! [A: $i] :
? [B: $i] :
( ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(119,plain,
! [A: $i] :
? [B: $i] :
( ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(120,plain,
! [A: $i] :
( ( A @ sk12 @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( A @ sk12 @ m1_subset_1 ) ) ),
inference(cnf,[status(esa)],[119]) ).
thf(122,plain,
! [A: $i] : ( A @ sk12 @ v1_xboole_0 ),
inference(cnfConj,[status(thm)],[120]) ).
thf(221,plain,
! [A: $i] :
( ( ( A @ sk12 @ v1_xboole_0 )
!= ( sk10 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[122,115]) ).
thf(222,plain,
! [A: $i] :
( ( A @ sk12 @ v1_xboole_0 )
!= ( sk10 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[221]) ).
thf(224,plain,
! [A: $i] :
( ( A @ sk12 )
!= sk10 ),
inference(simp,[status(thm)],[222]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( A @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( A @ k1_zfmisc_1 @ ( B @ ( A @ k8_setfam_1 ) @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
thf(188,plain,
! [A: $i,B: $i] :
( ( A @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
=> ( A @ k1_zfmisc_1 @ ( B @ ( A @ k8_setfam_1 ) @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(53,plain,
sk2 @ k1_zfmisc_1 @ ( sk4 @ m1_subset_1 ),
inference(cnfConj,[status(thm)],[51]) ).
thf(19,axiom,
( ( k1_xboole_0 @ v3_relat_1 )
& ( k1_xboole_0 @ v1_relat_1 )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
thf(105,plain,
( ( k1_xboole_0 @ v3_relat_1 )
& ( k1_xboole_0 @ v1_relat_1 )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(106,plain,
( ( k1_xboole_0 @ v3_relat_1 )
& ( k1_xboole_0 @ v1_relat_1 )
& ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(cnf,[status(esa)],[105]) ).
thf(109,plain,
k1_xboole_0 @ v3_relat_1,
inference(cnfConj,[status(thm)],[106]) ).
thf(48,axiom,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ? [B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
thf(193,plain,
! [A: $i] :
( ~ ( A @ v1_xboole_0 )
=> ? [B: $i] :
( ~ ( B @ v1_xboole_0 )
& ( A @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(175,plain,
~ ? [A: $i] : ( A @ k1_zfmisc_1 @ v1_xboole_0 ),
inference(miniscope,[status(thm)],[174]) ).
thf(176,plain,
! [A: $i] :
~ ( A @ k1_zfmisc_1 @ v1_xboole_0 ),
inference(cnf,[status(esa)],[175]) ).
thf(208,plain,
! [A: $i] :
( ( ( A @ k1_zfmisc_1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[74,176]) ).
thf(209,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[208]) ).
thf(212,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[209]) ).
thf(203,plain,
( ( ( sk10 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[74,115]) ).
thf(204,plain,
( ( sk10 @ v1_xboole_0 )
!= ( k1_xboole_0 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[203]) ).
thf(205,plain,
sk10 != k1_xboole_0,
inference(simp,[status(thm)],[204]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
<=> ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
thf(166,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( B @ ( A @ ( C @ m2_relset_1 ) ) ) )
& ( ( B @ ( A @ ( C @ m2_relset_1 ) ) )
=> ( B @ ( A @ ( C @ m1_relset_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(38,axiom,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(161,plain,
! [A: $i] :
? [B: $i] : ( A @ ( B @ m1_subset_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(64,plain,
sk7 @ v1_relat_1,
inference(cnfConj,[status(thm)],[63]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
<=> ( B @ ( A @ r1_tarski ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
thf(180,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ r1_tarski ) )
=> ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) ) )
& ( ( B @ k1_zfmisc_1 @ ( A @ m1_subset_1 ) )
=> ( B @ ( A @ r1_tarski ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ m1_eqrel_1 ) )
=> ( A @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_eqrel_1) ).
thf(149,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ m1_eqrel_1 ) )
=> ( A @ k1_zfmisc_1 @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(260,plain,
! [A: $i] :
( ( ( sk8 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A @ k4_relat_1 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,60]) ).
thf(261,plain,
! [A: $i] :
( ( ( sk8 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A @ k4_relat_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[260]) ).
thf(262,plain,
sk8 @ k4_relat_1 @ v1_xboole_0,
inference(pattern_uni,[status(thm)],[261:[bind(A,$thf( sk8 ))]]) ).
thf(279,plain,
! [A: $i] :
( ( ( sk8 @ k4_relat_1 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A @ k4_relat_1 @ v1_xboole_0 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[262,60]) ).
thf(280,plain,
! [A: $i] :
( ( ( sk8 @ k4_relat_1 @ v1_xboole_0 )
!= ( A @ v1_xboole_0 ) )
| ( A @ k4_relat_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[279]) ).
thf(281,plain,
sk8 @ k4_relat_1 @ k4_relat_1 @ v1_xboole_0,
inference(pattern_uni,[status(thm)],[280:[bind(A,$thf( sk8 @ k4_relat_1 ))]]) ).
thf(54,plain,
sk2 @ ( sk1 @ ( sk5 @ m2_relset_1 ) ),
inference(cnfConj,[status(thm)],[51]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
& ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) )
=> ( ( D @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) )
= ( D @ ( C @ ( B @ ( A @ k7_relset_2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
thf(144,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
& ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) )
=> ( ( D @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) )
= ( D @ ( C @ ( B @ ( A @ k7_relset_2 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( ~ ( B @ v1_xboole_0 )
& ~ ( A @ v1_xboole_0 ) )
=> ~ ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
thf(86,plain,
! [A: $i,B: $i] :
( ( ~ ( B @ v1_xboole_0 )
& ~ ( A @ v1_xboole_0 ) )
=> ~ ( B @ ( A @ k2_zfmisc_1 ) @ v1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(41,axiom,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m2_relset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
thf(172,plain,
! [A: $i,B: $i] :
? [C: $i] : ( B @ ( A @ ( C @ m2_relset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(11,axiom,
! [A: $i] : ( A @ ( A @ k3_pua2mss1 @ m1_eqrel_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_pua2mss1) ).
thf(81,plain,
! [A: $i] : ( A @ ( A @ k3_pua2mss1 @ m1_eqrel_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ v1_relat_1 )
=> ( A @ k4_relat_1 @ v1_relat_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relat_1) ).
thf(76,plain,
! [A: $i] :
( ( A @ v1_relat_1 )
=> ( A @ k4_relat_1 @ v1_relat_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ( B @ ( A @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(140,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ r2_hidden ) )
=> ( B @ ( A @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(210,plain,
! [A: $i] :
( ( ( A @ k1_zfmisc_1 @ v1_xboole_0 )
!= ( sk8 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[68,176]) ).
thf(211,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 @ v1_xboole_0 )
!= ( sk8 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[210]) ).
thf(213,plain,
! [A: $i] :
( ( A @ k1_zfmisc_1 )
!= sk8 ),
inference(simp,[status(thm)],[211]) ).
thf(219,plain,
! [B: $i,A: $i] :
( ( ( A @ sk12 @ v1_xboole_0 )
!= ( B @ k1_zfmisc_1 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[122,176]) ).
thf(220,plain,
! [B: $i,A: $i] :
( ( A @ sk12 @ v1_xboole_0 )
!= ( B @ k1_zfmisc_1 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[219]) ).
thf(223,plain,
! [B: $i,A: $i] :
( ( A @ sk12 )
!= ( B @ k1_zfmisc_1 ) ),
inference(simp,[status(thm)],[220]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( ( A @ k1_zfmisc_1 @ ( B @ k1_zfmisc_1 @ ( C @ ( B @ ( A @ k6_relset_2 ) ) @ m2_relset_1 ) ) )
& ( A @ k1_zfmisc_1 @ ( B @ k1_zfmisc_1 @ ( C @ ( B @ ( A @ k6_relset_2 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k6_relset_2 ) ) @ v1_funct_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_2) ).
thf(135,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( ( A @ k1_zfmisc_1 @ ( B @ k1_zfmisc_1 @ ( C @ ( B @ ( A @ k6_relset_2 ) ) @ m2_relset_1 ) ) )
& ( A @ k1_zfmisc_1 @ ( B @ k1_zfmisc_1 @ ( C @ ( B @ ( A @ k6_relset_2 ) ) @ v1_funct_2 ) ) )
& ( C @ ( B @ ( A @ k6_relset_2 ) ) @ v1_funct_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(43,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( ( C @ ( B @ ( A @ k6_relset_2 ) ) )
= ( C @ ( B @ k5_relset_2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_2) ).
thf(177,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ( B @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( ( C @ ( B @ ( A @ k6_relset_2 ) ) )
= ( C @ ( B @ k5_relset_2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( A @ ( B @ ( C @ ( B @ ( A @ k6_relset_1 ) ) @ m2_relset_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
thf(127,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( A @ ( B @ ( C @ ( B @ ( A @ k6_relset_1 ) ) @ m2_relset_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
=> ( ( D @ ( C @ ( B @ ( A @ k7_relset_2 ) ) ) )
= ( C @ k3_pua2mss1 @ ( D @ ( A @ ( B @ k6_relset_2 ) ) @ ( B @ ( A @ k1_zfmisc_1 @ k4_relset_2 ) ) ) @ ( B @ k8_setfam_1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relset_2) ).
thf(154,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ! [D: $i] :
( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
=> ( ( D @ ( C @ ( B @ ( A @ k7_relset_2 ) ) ) )
= ( C @ k3_pua2mss1 @ ( D @ ( A @ ( B @ k6_relset_2 ) ) @ ( B @ ( A @ k1_zfmisc_1 @ k4_relset_2 ) ) ) @ ( B @ k8_setfam_1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
& ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) )
=> ( B @ k1_zfmisc_1 @ ( D @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ m1_subset_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
thf(186,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( D @ m1_subset_1 ) )
& ( A @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) ) )
=> ( B @ k1_zfmisc_1 @ ( D @ ( C @ ( B @ ( A @ k8_relset_2 ) ) ) @ m1_subset_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(75,plain,
k1_xboole_0 @ v1_relat_1,
inference(cnfConj,[status(thm)],[73]) ).
thf(284,plain,
( ( ( sk8 @ k4_relat_1 @ v1_xboole_0 )
!= ( sk10 @ v1_xboole_0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[262,115]) ).
thf(285,plain,
( ( sk8 @ k4_relat_1 @ v1_xboole_0 )
!= ( sk10 @ v1_xboole_0 ) ),
inference(simp,[status(thm)],[284]) ).
thf(290,plain,
( ( sk8 @ k4_relat_1 )
!= sk10 ),
inference(simp,[status(thm)],[285]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ v1_xboole_0 )
& ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ ( A @ r2_hidden ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
thf(151,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ v1_xboole_0 )
& ( C @ k1_zfmisc_1 @ ( B @ m1_subset_1 ) )
& ( B @ ( A @ r2_hidden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( ( C @ ( B @ ( A @ k6_relset_1 ) ) @ ( B @ ( A @ k6_relset_1 ) ) )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k6_relset_1) ).
thf(190,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( ( C @ ( B @ ( A @ k6_relset_1 ) ) @ ( B @ ( A @ k6_relset_1 ) ) )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( ( D @ ( C @ ( B @ ( A @ k4_relset_2 ) ) ) )
= ( D @ ( C @ k9_relat_1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
thf(131,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( B @ k1_zfmisc_1 @ ( A @ k2_zfmisc_1 ) @ k1_zfmisc_1 @ ( C @ m1_subset_1 ) )
=> ( ( D @ ( C @ ( B @ ( A @ k4_relset_2 ) ) ) )
= ( D @ ( C @ k9_relat_1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( ( C @ ( B @ ( A @ k6_relset_1 ) ) )
= ( C @ k4_relat_1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
thf(163,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ ( C @ m1_relset_1 ) ) )
=> ( ( C @ ( B @ ( A @ k6_relset_1 ) ) )
= ( C @ k4_relat_1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(83,plain,
! [A: $i] :
( ( A @ v1_xboole_0 )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(251,plain,
! [A: $i] :
( ( ( A @ ( A @ r1_tarski ) )
!= ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) ) )
| ( ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) )
!= sk3 )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[148,249]) ).
thf(252,plain,
! [A: $i] :
( ( ( A @ ( A @ r1_tarski ) )
!= ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk4 @ r1_tarski ) ) )
| ( ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) )
!= sk3 ) ),
inference(simp,[status(thm)],[251]) ).
thf(253,plain,
! [A: $i] :
( ( A
!= ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) ) )
| ( A != sk4 )
| ( ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) )
!= sk3 ) ),
inference(simp,[status(thm)],[252]) ).
thf(254,plain,
( ( ( sk5 @ ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk4 @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) )
!= sk4 )
| ( ( sk5 @ ( sk2 @ ( sk1 @ k6_relset_1 ) ) @ ( sk5 @ ( sk3 @ ( sk2 @ ( sk1 @ k8_relset_2 ) ) ) @ ( sk1 @ ( sk2 @ k8_relset_2 ) ) ) )
!= sk3 ) ),
inference(simp,[status(thm)],[253]) ).
thf(225,plain,
! [B: $i,A: $i] :
( ( ( sk8 @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ $true
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(paramod_ordered,[status(thm)],[68,80]) ).
thf(226,plain,
! [B: $i,A: $i] :
( ( ( sk8 @ v1_xboole_0 )
!= ( B @ v1_xboole_0 ) )
| ~ ( B @ ( A @ r2_hidden ) ) ),
inference(simp,[status(thm)],[225]) ).
thf(227,plain,
! [A: $i] :
~ ( sk8 @ ( A @ r2_hidden ) ),
inference(pattern_uni,[status(thm)],[226:[bind(A,$thf( A )),bind(B,$thf( sk8 ))]]) ).
thf(4873,plain,
$false,
inference(e,[status(thm)],[174,216,129,123,99,94,69,101,249,88,115,202,56,142,52,110,125,157,57,78,147,116,74,233,60,117,302,70,92,197,65,224,188,53,109,193,212,105,205,166,148,161,64,180,149,176,281,54,144,86,172,113,81,76,140,213,66,223,135,267,80,50,177,127,154,72,186,55,75,290,119,58,151,262,190,131,163,68,62,122,83,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU449+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % 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
% 0.15/0.40 % Computer : n011.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 10:00:43 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 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
% 0.88/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/1.19 % [INFO] Parsing done (216ms).
% 1.51/1.20 % [INFO] Running in sequential loop mode.
% 2.23/1.59 % [INFO] eprover registered as external prover.
% 2.44/1.60 % [INFO] Scanning for conjecture ...
% 2.66/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 54 axioms. Running axiom selection ...
% 2.87/1.81 % [INFO] Axiom selection finished. Selected 47 axioms (removed 7 axioms).
% 2.87/1.89 % [INFO] Problem is first-order (TPTP FOF).
% 3.12/1.90 % [INFO] Type checking passed.
% 3.12/1.90 % [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 ...
% 28.80/6.74 % External prover 'e' found a proof!
% 28.80/6.74 % [INFO] Killing All external provers ...
% 28.80/6.74 % Time passed: 6196ms (effective reasoning time: 5533ms)
% 28.80/6.74 % 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)>
% 28.80/6.75 % Axioms used in derivation (47): redefinition_m2_relset_1, dt_k6_relset_1, redefinition_k8_relset_2, fc4_subset_1, rc2_partfun1, dt_m1_eqrel_1, existence_m1_relset_1, d4_relset_2, rc1_subset_1, redefinition_k6_relset_2, dt_k4_relset_2, existence_m1_eqrel_1, t8_boole, dt_k5_relset_2, fc1_sysrel, antisymmetry_r2_hidden, fc4_relat_1, t1_subset, dt_m2_relset_1, cc1_relat_1, dt_k8_relset_2, redefinition_k6_relset_1, involutiveness_k6_relset_1, rc3_relat_1, t6_boole, rc2_subset_1, redefinition_k4_relset_2, t5_subset, dt_k4_relat_1, t4_subset, t61_relset_2, involutiveness_k4_relat_1, dt_k6_relset_2, t7_boole, fc1_subset_1, dt_k3_pua2mss1, dt_k8_setfam_1, t3_subset, cc1_relset_1, fc11_relat_1, existence_m1_subset_1, rc2_relat_1, existence_m2_relset_1, rc1_relat_1, reflexivity_r1_tarski, t2_subset, fc12_relat_1
% 28.80/6.75 % No. of inferences in proof: 176
% 28.80/6.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 6196 ms resp. 5533 ms w/o parsing
% 25.39/6.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 25.39/6.86 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------