%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET862-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n026.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 08:31:12 AM UTC 2026
% Result : Unsatisfiable 57.02s 16.04s
% Output : Refutation 57.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 116 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 363 ( 111 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 1695 ( 183 ~; 155 |; 0 &;1357 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 143 ( 0 ^; 143 !; 0 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(v_c_decl,type,
v_c: $i ).
thf(c_Zorn_Omaxchain_decl,type,
c_Zorn_Omaxchain: $i > $i > $i ).
thf(v_S_decl,type,
v_S: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(tc_set_decl,type,
tc_set: $i > $i ).
thf(c_Zorn_Ochain_decl,type,
c_Zorn_Ochain: $i > $i > $i ).
thf(v_y_decl,type,
v_y: $i ).
thf(c_lessequals_decl,type,
c_lessequals: $i > $i > $i > $o ).
thf(v_x_decl,type,
v_x: $i > $i ).
thf(c_Main_OsubsetI__1_decl,type,
c_Main_OsubsetI__1: $i > $i > $i > $i ).
thf(c_Zorn_Ochain__extend__1_decl,type,
c_Zorn_Ochain__extend__1: $i > $i > $i > $i ).
thf(c_union_decl,type,
c_union: $i > $i > $i > $i ).
thf(c_insert_decl,type,
c_insert: $i > $i > $i > $i ).
thf(c_emptyset_decl,type,
c_emptyset: $i ).
thf(c_Zorn_Omaxchain__super__lemma__1_decl,type,
c_Zorn_Omaxchain__super__lemma__1: $i > $i > $i > $i ).
thf(3,negated_conjecture,
t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(21,plain,
t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(16,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(27,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(cnf,[status(esa)],[16]) ).
thf(92,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[21,27]) ).
thf(93,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(simp,[status(thm)],[92]) ).
thf(94,plain,
t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ),
inference(pattern_uni,[status(thm)],[93:[bind(A,$thf( v_y ))]]) ).
thf(131,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[94,27]) ).
thf(132,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(simp,[status(thm)],[131]) ).
thf(133,plain,
t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ),
inference(pattern_uni,[status(thm)],[132:[bind(A,$thf( v_y @ v_x ))]]) ).
thf(146,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[133,27]) ).
thf(147,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(simp,[status(thm)],[146]) ).
thf(148,plain,
t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ c_in ) ),
inference(pattern_uni,[status(thm)],[147:[bind(A,$thf( v_y @ v_x @ v_x ))]]) ).
thf(831,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[148,27]) ).
thf(832,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(simp,[status(thm)],[831]) ).
thf(833,plain,
t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ c_in ) ),
inference(pattern_uni,[status(thm)],[832:[bind(A,$thf( v_y @ v_x @ v_x @ v_x ))]]) ).
thf(917,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[833,27]) ).
thf(918,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(simp,[status(thm)],[917]) ).
thf(919,plain,
t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ),
inference(pattern_uni,[status(thm)],[918:[bind(A,$thf( v_y @ v_x @ v_x @ v_x @ v_x ))]]) ).
thf(1117,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[919,27]) ).
thf(1118,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(simp,[status(thm)],[1117]) ).
thf(1119,plain,
t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ),
inference(pattern_uni,[status(thm)],[1118:[bind(A,$thf( v_y @ v_x @ v_x @ v_x @ v_x @ v_x ))]]) ).
thf(1367,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(paramod_ordered,[status(thm)],[1119,27]) ).
thf(1368,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_S @ ( A @ v_x @ c_in ) ) ) ),
inference(simp,[status(thm)],[1367]) ).
thf(1369,plain,
t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ),
inference(pattern_uni,[status(thm)],[1368:[bind(A,$thf( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x ))]]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(22,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(25,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[22]) ).
thf(49,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[21,25]) ).
thf(50,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[49]) ).
thf(53,plain,
! [A: $i] :
( ( ( t_a @ tc_set )
!= ( t_a @ tc_set ) )
| ( v_S != v_c )
| ( v_y != A )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[50]) ).
thf(56,plain,
( ( v_S != v_c )
| ( t_a @ tc_set @ ( v_y @ ( v_y @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[53]) ).
thf(6,negated_conjecture,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(18,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(26,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[18]) ).
thf(123,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[94,26]) ).
thf(124,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[123]) ).
thf(125,plain,
t_a @ tc_set @ ( v_y @ v_x @ v_x @ ( v_y @ v_x @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[124:[bind(A,$thf( v_y @ v_x ))]]) ).
thf(7,negated_conjecture,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( A
!= ( A @ v_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(20,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( A
!= ( A @ v_x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( A
!= ( A @ v_x ) ) ),
inference(cnf,[status(esa)],[20]) ).
thf(24,plain,
! [A: $i] :
( ~ ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(lifteq,[status(thm)],[23]) ).
thf(1359,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[1119,24]) ).
thf(1360,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[1359]) ).
thf(1361,plain,
( ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x )
!= ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x ) ),
inference(pattern_uni,[status(thm)],[1360:[bind(A,$thf( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x ))]]) ).
thf(126,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[94,24]) ).
thf(127,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[126]) ).
thf(128,plain,
( ( v_y @ v_x @ v_x )
!= ( v_y @ v_x ) ),
inference(pattern_uni,[status(thm)],[127:[bind(A,$thf( v_y @ v_x ))]]) ).
thf(912,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[833,24]) ).
thf(913,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[912]) ).
thf(914,plain,
( ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x )
!= ( v_y @ v_x @ v_x @ v_x @ v_x ) ),
inference(pattern_uni,[status(thm)],[913:[bind(A,$thf( v_y @ v_x @ v_x @ v_x @ v_x ))]]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ tc_set @ ( C @ ( B @ c_Zorn_Ochain ) @ ( C @ tc_set @ ( D @ ( C @ tc_set @ ( c_emptyset @ ( A @ c_insert ) ) @ c_union ) ) @ c_in ) ) )
| ( C @ tc_set @ ( D @ ( C @ ( A @ ( D @ c_Zorn_Ochain__extend__1 ) ) @ c_in ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( B @ c_Zorn_Ochain ) @ ( D @ c_in ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
thf(37,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ tc_set @ ( C @ ( B @ c_Zorn_Ochain ) @ ( C @ tc_set @ ( D @ ( C @ tc_set @ ( c_emptyset @ ( A @ c_insert ) ) @ c_union ) ) @ c_in ) ) )
| ( C @ tc_set @ ( D @ ( C @ ( A @ ( D @ c_Zorn_Ochain__extend__1 ) ) @ c_in ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( B @ c_Zorn_Ochain ) @ ( D @ c_in ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(823,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[148,26]) ).
thf(824,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[823]) ).
thf(825,plain,
t_a @ tc_set @ ( v_y @ v_x @ v_x @ v_x @ v_x @ ( v_y @ v_x @ v_x @ v_x @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[824:[bind(A,$thf( v_y @ v_x @ v_x @ v_x ))]]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( B = A )
| ~ ( C @ tc_set @ ( A @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ( B = A )
| ~ ( C @ tc_set @ ( A @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,negated_conjecture,
t_a @ tc_set @ tc_set @ ( t_a @ ( v_S @ c_Zorn_Ochain ) @ ( v_c @ c_in ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(19,plain,
t_a @ tc_set @ tc_set @ ( t_a @ ( v_S @ c_Zorn_Ochain ) @ ( v_c @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(62,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ tc_set @ ( t_a @ ( v_S @ c_Zorn_Ochain ) @ ( v_c @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[19,24]) ).
thf(63,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ tc_set @ ( t_a @ ( v_S @ c_Zorn_Ochain ) @ ( v_c @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[62]) ).
thf(65,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ tc_set )
!= ( t_a @ tc_set ) )
| ( ( t_a @ ( v_S @ c_Zorn_Ochain ) )
!= v_S )
| ( v_c != A )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[63]) ).
thf(67,plain,
( ( ( t_a @ tc_set @ tc_set )
!= ( t_a @ tc_set ) )
| ( ( t_a @ ( v_S @ c_Zorn_Ochain ) )
!= v_S )
| ( ( v_c @ v_x )
!= v_c ) ),
inference(simp,[status(thm)],[65]) ).
thf(137,plain,
( ( ( t_a @ tc_set )
!= t_a )
| ( ( t_a @ ( v_S @ c_Zorn_Ochain ) )
!= v_S )
| ( ( v_c @ v_x )
!= v_c ) ),
inference(simp,[status(thm)],[67]) ).
thf(1112,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[919,24]) ).
thf(1113,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[1112]) ).
thf(1114,plain,
( ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x @ v_x )
!= ( v_y @ v_x @ v_x @ v_x @ v_x @ v_x ) ),
inference(pattern_uni,[status(thm)],[1113:[bind(A,$thf( v_y @ v_x @ v_x @ v_x @ v_x @ v_x ))]]) ).
thf(14,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( C @ ( F @ ( D @ c_Zorn_Omaxchain__super__lemma__1 ) ) @ c_in ) ) )
| ( C @ ( F @ ( A @ c_in ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( E @ c_Zorn_Ochain ) @ ( C @ tc_set @ ( D @ ( C @ tc_set @ ( c_emptyset @ ( B @ c_insert ) ) @ c_union ) ) @ c_in ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( E @ c_Zorn_Omaxchain ) @ ( D @ c_in ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
thf(41,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( D @ ( C @ ( F @ ( D @ c_Zorn_Omaxchain__super__lemma__1 ) ) @ c_in ) ) )
| ( C @ ( F @ ( A @ c_in ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( E @ c_Zorn_Ochain ) @ ( C @ tc_set @ ( D @ ( C @ tc_set @ ( c_emptyset @ ( B @ c_insert ) ) @ c_union ) ) @ c_in ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( E @ c_Zorn_Omaxchain ) @ ( D @ c_in ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(1,negated_conjecture,
t_a @ tc_set @ tc_set @ ( t_a @ ( v_S @ c_Zorn_Omaxchain ) @ ( v_c @ c_in ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(17,plain,
t_a @ tc_set @ tc_set @ ( t_a @ ( v_S @ c_Zorn_Omaxchain ) @ ( v_c @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( A @ c_in ) ) )
| ~ ( C @ tc_set @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
thf(31,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( A @ c_in ) ) )
| ~ ( C @ tc_set @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(32,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( D @ ( A @ c_in ) ) )
| ~ ( C @ tc_set @ ( D @ ( B @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(cnf,[status(esa)],[31]) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ( C @ ( A @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
inference(cnf,[status(esa)],[33]) ).
thf(57,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[21,24]) ).
thf(58,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[57]) ).
thf(59,plain,
( ( v_y @ v_x )
!= v_y ),
inference(pattern_uni,[status(thm)],[58:[bind(A,$thf( v_y ))]]) ).
thf(60,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ tc_set @ ( t_a @ ( v_S @ c_Zorn_Omaxchain ) @ ( v_c @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[17,24]) ).
thf(61,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ tc_set @ ( t_a @ ( v_S @ c_Zorn_Omaxchain ) @ ( v_c @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[60]) ).
thf(64,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ tc_set )
!= ( t_a @ tc_set ) )
| ( ( t_a @ ( v_S @ c_Zorn_Omaxchain ) )
!= v_S )
| ( v_c != A )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[61]) ).
thf(66,plain,
( ( ( t_a @ tc_set @ tc_set )
!= ( t_a @ tc_set ) )
| ( ( t_a @ ( v_S @ c_Zorn_Omaxchain ) )
!= v_S )
| ( ( v_c @ v_x )
!= v_c ) ),
inference(simp,[status(thm)],[64]) ).
thf(76,plain,
( ( ( t_a @ tc_set )
!= t_a )
| ( ( t_a @ ( v_S @ c_Zorn_Omaxchain ) )
!= v_S )
| ( ( v_c @ v_x )
!= v_c ) ),
inference(simp,[status(thm)],[66]) ).
thf(13,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ tc_set @ ( C @ ( B @ c_Zorn_Ochain ) @ ( C @ tc_set @ ( D @ ( C @ tc_set @ ( c_emptyset @ ( A @ c_insert ) ) @ c_union ) ) @ c_in ) ) )
| ~ ( C @ tc_set @ ( A @ ( C @ ( A @ ( D @ c_Zorn_Ochain__extend__1 ) ) @ c_lessequals ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( B @ c_Zorn_Ochain ) @ ( D @ c_in ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
thf(39,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ tc_set @ tc_set @ ( C @ ( B @ c_Zorn_Ochain ) @ ( C @ tc_set @ ( D @ ( C @ tc_set @ ( c_emptyset @ ( A @ c_insert ) ) @ c_union ) ) @ c_in ) ) )
| ~ ( C @ tc_set @ ( A @ ( C @ ( A @ ( D @ c_Zorn_Ochain__extend__1 ) ) @ c_lessequals ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( B @ c_Zorn_Ochain ) @ ( D @ c_in ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(138,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[133,26]) ).
thf(139,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[138]) ).
thf(140,plain,
t_a @ tc_set @ ( v_y @ v_x @ v_x @ v_x @ ( v_y @ v_x @ v_x @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[139:[bind(A,$thf( v_y @ v_x @ v_x ))]]) ).
thf(129,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[94,25]) ).
thf(130,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[129]) ).
thf(134,plain,
! [A: $i] :
( ( ( t_a @ tc_set )
!= ( t_a @ tc_set ) )
| ( v_S != v_c )
| ( ( v_y @ v_x )
!= A )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[130]) ).
thf(135,plain,
( ( v_S != v_c )
| ( t_a @ tc_set @ ( v_y @ ( v_y @ v_x @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[134]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ~ ( C @ ( B @ ( C @ ( B @ ( A @ c_Main_OsubsetI__1 ) ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(144,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[133,25]) ).
thf(145,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_c @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[144]) ).
thf(149,plain,
! [A: $i] :
( ( ( t_a @ tc_set )
!= ( t_a @ tc_set ) )
| ( v_S != v_c )
| ( ( v_y @ v_x @ v_x )
!= A )
| ( t_a @ tc_set @ ( v_y @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(150,plain,
( ( v_S != v_c )
| ( t_a @ tc_set @ ( v_y @ ( v_y @ v_x @ v_x @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[149]) ).
thf(141,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[133,24]) ).
thf(142,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[141]) ).
thf(143,plain,
( ( v_y @ v_x @ v_x @ v_x )
!= ( v_y @ v_x @ v_x ) ),
inference(pattern_uni,[status(thm)],[142:[bind(A,$thf( v_y @ v_x @ v_x ))]]) ).
thf(15,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( F @ ( A @ c_in ) ) )
| ~ ( C @ tc_set @ ( F @ ( C @ ( F @ ( D @ c_Zorn_Omaxchain__super__lemma__1 ) ) @ c_lessequals ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( E @ c_Zorn_Ochain ) @ ( C @ tc_set @ ( D @ ( C @ tc_set @ ( c_emptyset @ ( B @ c_insert ) ) @ c_union ) ) @ c_in ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( E @ c_Zorn_Omaxchain ) @ ( D @ c_in ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
thf(43,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( F @ ( A @ c_in ) ) )
| ~ ( C @ tc_set @ ( F @ ( C @ ( F @ ( D @ c_Zorn_Omaxchain__super__lemma__1 ) ) @ c_lessequals ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( E @ c_Zorn_Ochain ) @ ( C @ tc_set @ ( D @ ( C @ tc_set @ ( c_emptyset @ ( B @ c_insert ) ) @ c_union ) ) @ c_in ) ) )
| ~ ( C @ tc_set @ tc_set @ ( C @ ( E @ c_Zorn_Omaxchain ) @ ( D @ c_in ) ) )
| ~ ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ( B = A )
| ~ ( C @ tc_set @ ( A @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) ) ),
inference(cnf,[status(esa)],[28]) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ tc_set @ ( A @ ( B @ c_lessequals ) ) )
| ~ ( C @ tc_set @ ( B @ ( A @ c_lessequals ) ) )
| ( B = A ) ),
inference(lifteq,[status(thm)],[29]) ).
thf(77,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(paramod_ordered,[status(thm)],[21,26]) ).
thf(78,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( t_a @ tc_set @ ( A @ v_x @ ( A @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[77]) ).
thf(79,plain,
t_a @ tc_set @ ( v_y @ v_x @ ( v_y @ c_lessequals ) ),
inference(pattern_uni,[status(thm)],[78:[bind(A,$thf( v_y ))]]) ).
thf(826,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ~ $true
| ( ( A @ v_x )
!= A ) ),
inference(paramod_ordered,[status(thm)],[148,24]) ).
thf(827,plain,
! [A: $i] :
( ( ( t_a @ tc_set @ ( v_S @ ( v_y @ v_x @ v_x @ v_x @ c_in ) ) )
!= ( t_a @ tc_set @ ( v_S @ ( A @ c_in ) ) ) )
| ( ( A @ v_x )
!= A ) ),
inference(simp,[status(thm)],[826]) ).
thf(828,plain,
( ( v_y @ v_x @ v_x @ v_x @ v_x )
!= ( v_y @ v_x @ v_x @ v_x ) ),
inference(pattern_uni,[status(thm)],[827:[bind(A,$thf( v_y @ v_x @ v_x @ v_x ))]]) ).
thf(5007,plain,
$false,
inference(e,[status(thm)],[1369,56,125,20,1361,128,919,26,914,24,37,25,1119,133,825,28,33,21,137,1114,41,148,17,32,34,22,59,27,76,39,140,66,135,35,18,150,67,16,31,143,43,833,30,19,79,828,94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET862-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n026.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 08:25:56 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.84/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/1.17 % [INFO] Parsing done (185ms).
% 1.20/1.19 % [INFO] Running in sequential loop mode.
% 1.80/1.58 % [INFO] eprover registered as external prover.
% 1.80/1.59 % [INFO] Scanning for conjecture ...
% 2.17/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 2.17/1.74 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 2.17/1.77 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/1.78 % [INFO] Type checking passed.
% 2.17/1.78 % [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 ...
% 57.02/16.03 % External prover 'e' found a proof!
% 57.02/16.04 % [INFO] Killing All external provers ...
% 57.02/16.04 % Time passed: 15497ms (effective reasoning time: 14843ms)
% 57.02/16.04 % Axioms used in derivation (8): cls_Set_OsubsetI_1, cls_Zorn_Ochain__extend_0, cls_Zorn_Omaxchain__super__lemma_0, cls_Set_OsubsetI_0, cls_Zorn_Omaxchain__super__lemma_1, cls_Zorn_Ochain__extend_1, cls_Set_OsubsetD_0, cls_Set_Osubset__antisym_0
% 57.02/16.04 % No. of inferences in proof: 116
% 57.02/16.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 15497 ms resp. 14843 ms w/o parsing
% 57.02/16.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 57.02/16.12 % [INFO] Killing All external provers ...
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