%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LAT269-1 : 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 : n016.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 07:46:53 AM UTC 2026
% Result : Unsatisfiable 7.42s 8.32s
% Output : Refutation 7.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 27
% Syntax : Number of formulae : 55 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 42 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 530 ( 30 ~; 28 |; 0 &; 472 @)
% ( 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 : 36 ( 34 usr; 12 con; 0-5 aty)
% Number of variables : 158 ( 0 ^; 158 !; 0 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(c_Tarski_Opotype_Opotype__ext_decl,type,
c_Tarski_Opotype_Opotype__ext: $i > $i > $i > $i > $i > $i ).
thf(v_intY1_decl,type,
v_intY1: $i ).
thf(c_Tarski_Oinduced_decl,type,
c_Tarski_Oinduced: $i > $i > $i > $i ).
thf(v_r_decl,type,
v_r: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(c_Product__Type_OUnity_decl,type,
c_Product__Type_OUnity: $i ).
thf(tc_Product__Type_Ounit_decl,type,
tc_Product__Type_Ounit: $i ).
thf(c_Tarski_OCompleteLattice_decl,type,
c_Tarski_OCompleteLattice: $i ).
thf(tc_Tarski_Opotype_Opotype__ext__type_decl,type,
tc_Tarski_Opotype_Opotype__ext__type: $i > $i > $i ).
thf(c_List_Olexn_decl,type,
c_List_Olexn: $i > $i > $i > $i ).
thf(c_0_decl,type,
c_0: $i ).
thf(c_emptyset_decl,type,
c_emptyset: $i ).
thf(c_Tarski_Opotype_Omore__update_decl,type,
c_Tarski_Opotype_Omore__update: $i > $i > $i > $i > $i ).
thf(c_Tarski_Ointerval_decl,type,
c_Tarski_Ointerval: $i > $i > $i > $i > $i ).
thf(c_Tarski_Olub_decl,type,
c_Tarski_Olub: $i > $i > $i > $i ).
thf(v_Y_decl,type,
v_Y: $i ).
thf(v_cl_decl,type,
v_cl: $i ).
thf(c_Tarski_OTop_decl,type,
c_Tarski_OTop: $i > $i > $i ).
thf(c_Tarski_Opotype_Oorder_decl,type,
c_Tarski_Opotype_Oorder: $i > $i > $i > $i ).
thf(c_Relation_Oantisym_decl,type,
c_Relation_Oantisym: $i > $i > $o ).
thf(c_Nat_Osize_decl,type,
c_Nat_Osize: $i > $i > $i ).
thf(v_A_decl,type,
v_A: $i ).
thf(c_Tarski_Opotype_Omore_decl,type,
c_Tarski_Opotype_Omore: $i > $i > $i > $i ).
thf(c_Main_Oall__not__in__conv__1_decl,type,
c_Main_Oall__not__in__conv__1: $i > $i > $i ).
thf(c_Relation_Otrans_decl,type,
c_Relation_Otrans: $i > $i > $o ).
thf(c_Tarski_Opotype_Opset_decl,type,
c_Tarski_Opotype_Opset: $i > $i > $i > $i ).
thf(c_Infinite__Set_Oatmost__one_decl,type,
c_Infinite__Set_Oatmost__one: $i > $i > $o ).
thf(c_Tarski_Opotype_Opset__update_decl,type,
c_Tarski_Opotype_Opset__update: $i > $i > $i > $i > $i ).
thf(c_Datatype_Ounit_Ounit__rec_decl,type,
c_Datatype_Ounit_Ounit__rec: $i > $i > $i > $i ).
thf(c_Relation_Orefl_decl,type,
c_Relation_Orefl: $i > $i > $i > $o ).
thf(c_Tarski_Opotype_Oorder__update_decl,type,
c_Tarski_Opotype_Oorder__update: $i > $i > $i > $i > $i ).
thf(class_Finite__Set_Ofinite_decl,type,
class_Finite__Set_Ofinite: $i > $o ).
thf(c_Datatype_Ounit_Ounit__case_decl,type,
c_Datatype_Ounit_Ounit__case: $i > $i > $i > $i ).
thf(26,axiom,
tc_Product__Type_Ounit @ ( t_a @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( v_cl @ c_in ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
thf(88,plain,
tc_Product__Type_Ounit @ ( t_a @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( v_cl @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(8,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = G )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) )
!= ( E @ ( D @ ( H @ ( G @ ( F @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oext__inject_1) ).
thf(42,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = G )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) )
!= ( E @ ( D @ ( H @ ( G @ ( F @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( D @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_Tarski_Opotype_Omore ) ) )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oselect__convs__3_0) ).
thf(52,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( D @ ( D @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_Tarski_Opotype_Omore ) ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( B @ ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Oorder ) ) @ c_Relation_Otrans ) )
| ~ ( tc_Product__Type_Ounit @ ( B @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Atrans_A_Iorder_Acl1_J_A_61_61_ATrue_0) ).
thf(57,plain,
! [B: $i,A: $i] :
( ( B @ ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Oorder ) ) @ c_Relation_Otrans ) )
| ~ ( tc_Product__Type_Ounit @ ( B @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(27,axiom,
! [B: $i,A: $i] :
( ( B @ ( c_Product__Type_OUnity @ ( A @ c_Datatype_Ounit_Ounit__case ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Ocases_0) ).
thf(89,plain,
! [B: $i,A: $i] :
( ( B @ ( c_Product__Type_OUnity @ ( A @ c_Datatype_Ounit_Ounit__case ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(14,axiom,
t_a @ ( v_A @ ( t_a @ ( v_cl @ c_Tarski_OTop ) @ c_in ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0) ).
thf(59,plain,
t_a @ ( v_A @ ( t_a @ ( v_cl @ c_Tarski_OTop ) @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(18,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = H )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) )
!= ( E @ ( D @ ( H @ ( G @ ( F @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oext__inject_2) ).
thf(66,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = H )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) )
!= ( E @ ( D @ ( H @ ( G @ ( F @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(16,axiom,
t_a @ ( v_A @ ( t_a @ ( v_cl @ ( v_Y @ c_Tarski_Olub ) ) @ c_in ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0) ).
thf(63,plain,
t_a @ ( v_A @ ( t_a @ ( v_cl @ ( v_Y @ c_Tarski_Olub ) ) @ c_in ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(25,axiom,
tc_Product__Type_Ounit @ class_Finite__Set_Ofinite,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
thf(87,plain,
tc_Product__Type_Ounit @ class_Finite__Set_Ofinite,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Oorder ) ) @ c_Relation_Oantisym ) )
| ~ ( tc_Product__Type_Ounit @ ( B @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Aantisym_A_Iorder_Acl1_J_A_61_61_ATrue_0) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( B @ ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Oorder ) ) @ c_Relation_Oantisym ) )
| ~ ( tc_Product__Type_Ounit @ ( B @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ ( A @ c_Tarski_Opotype_Opset__update ) ) ) )
= ( F @ ( E @ ( D @ ( C @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oupdate__convs__1_0) ).
thf(79,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ ( A @ c_Tarski_Opotype_Opset__update ) ) ) )
= ( F @ ( E @ ( D @ ( C @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(9,axiom,
( ( tc_Product__Type_Ounit @ ( c_Product__Type_OUnity @ c_Nat_Osize ) )
= c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).
thf(47,plain,
( ( tc_Product__Type_Ounit @ ( c_Product__Type_OUnity @ c_Nat_Osize ) )
= c_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ( B @ ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Oorder ) ) @ ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Opset ) ) @ c_Relation_Orefl ) ) )
| ~ ( tc_Product__Type_Ounit @ ( B @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Arefl_A_Ipset_Acl1_J_A_Iorder_Acl1_J_A_61_61_ATrue_0) ).
thf(83,plain,
! [B: $i,A: $i] :
( ( B @ ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Oorder ) ) @ ( tc_Product__Type_Ounit @ ( B @ ( A @ c_Tarski_Opotype_Opset ) ) @ c_Relation_Orefl ) ) )
| ~ ( tc_Product__Type_Ounit @ ( B @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( ( t_a @ ( A @ ( B @ ( v_r @ c_Tarski_Ointerval ) ) ) )
= c_emptyset )
| ( tc_Product__Type_Ounit @ ( t_a @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( tc_Product__Type_Ounit @ ( t_a @ ( c_Product__Type_OUnity @ ( t_a @ ( v_r @ ( t_a @ ( A @ ( B @ ( v_r @ c_Tarski_Ointerval ) ) ) @ c_Tarski_Oinduced ) ) @ ( t_a @ ( A @ ( B @ ( v_r @ c_Tarski_Ointerval ) ) ) @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_in ) ) )
| ~ ( t_a @ ( v_A @ ( B @ c_in ) ) )
| ~ ( t_a @ ( v_A @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
thf(60,plain,
! [B: $i,A: $i] :
( ( ( t_a @ ( A @ ( B @ ( v_r @ c_Tarski_Ointerval ) ) ) )
= c_emptyset )
| ( tc_Product__Type_Ounit @ ( t_a @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( tc_Product__Type_Ounit @ ( t_a @ ( c_Product__Type_OUnity @ ( t_a @ ( v_r @ ( t_a @ ( A @ ( B @ ( v_r @ c_Tarski_Ointerval ) ) ) @ c_Tarski_Oinduced ) ) @ ( t_a @ ( A @ ( B @ ( v_r @ c_Tarski_Ointerval ) ) ) @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_in ) ) )
| ~ ( t_a @ ( v_A @ ( B @ c_in ) ) )
| ~ ( t_a @ ( v_A @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(24,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ ( A @ c_Tarski_Opotype_Oorder__update ) ) ) )
= ( F @ ( E @ ( D @ ( A @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oupdate__convs__2_0) ).
thf(85,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ ( A @ c_Tarski_Opotype_Oorder__update ) ) ) )
= ( F @ ( E @ ( D @ ( A @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(1,negated_conjecture,
~ ( tc_Product__Type_Ounit @ ( t_a @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( tc_Product__Type_Ounit @ ( t_a @ ( c_Product__Type_OUnity @ ( t_a @ ( v_r @ ( v_intY1 @ c_Tarski_Oinduced ) ) @ ( v_intY1 @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_in ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(28,plain,
~ ( tc_Product__Type_Ounit @ ( t_a @ tc_Tarski_Opotype_Opotype__ext__type ) @ ( c_Tarski_OCompleteLattice @ ( tc_Product__Type_Ounit @ ( t_a @ ( c_Product__Type_OUnity @ ( t_a @ ( v_r @ ( v_intY1 @ c_Tarski_Oinduced ) ) @ ( v_intY1 @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_Tarski_Opotype_Oorder ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oselect__convs__2_0) ).
thf(38,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_Tarski_Opotype_Oorder ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_Tarski_Opotype_Opset ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oselect__convs__1_0) ).
thf(64,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ c_Tarski_Opotype_Opset ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(3,axiom,
! [B: $i,A: $i] :
~ ( B @ ( c_emptyset @ ( A @ c_in ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).
thf(32,plain,
! [B: $i,A: $i] :
~ ( B @ ( c_emptyset @ ( A @ c_in ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ ( A @ c_Tarski_Opotype_Omore__update ) ) ) )
= ( F @ ( E @ ( A @ ( C @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oupdate__convs__3_0) ).
thf(34,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( F @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) @ ( A @ c_Tarski_Opotype_Omore__update ) ) ) )
= ( F @ ( E @ ( A @ ( C @ ( B @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = F )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) )
!= ( E @ ( D @ ( H @ ( G @ ( F @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oext__inject_0) ).
thf(71,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = F )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Tarski_Opotype_Opotype__ext ) ) ) ) )
!= ( E @ ( D @ ( H @ ( G @ ( F @ c_Tarski_Opotype_Opotype__ext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( A = c_emptyset )
| ( B @ ( A @ ( B @ ( A @ c_Main_Oall__not__in__conv__1 ) @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oall__not__in__conv_0) ).
thf(54,plain,
! [B: $i,A: $i] :
( ( A = c_emptyset )
| ( B @ ( A @ ( B @ ( A @ c_Main_Oall__not__in__conv__1 ) @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,axiom,
! [A: $i] :
( ( ( t_a @ ( t_a @ ( v_cl @ c_Tarski_OTop ) @ ( A @ ( v_r @ c_Tarski_Ointerval ) ) ) )
!= c_emptyset )
| ~ ( t_a @ ( v_A @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0) ).
thf(49,plain,
! [A: $i] :
( ( ( t_a @ ( t_a @ ( v_cl @ c_Tarski_OTop ) @ ( A @ ( v_r @ c_Tarski_Ointerval ) ) ) )
!= c_emptyset )
| ~ ( t_a @ ( v_A @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ( B @ ( c_Product__Type_OUnity @ ( A @ c_Datatype_Ounit_Ounit__rec ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Orecs_0) ).
thf(81,plain,
! [B: $i,A: $i] :
( ( B @ ( c_Product__Type_OUnity @ ( A @ c_Datatype_Ounit_Ounit__rec ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(20,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C = D )
| ~ ( B @ ( A @ ( D @ c_in ) ) )
| ~ ( B @ ( A @ ( C @ c_in ) ) )
| ~ ( B @ ( A @ c_Infinite__Set_Oatmost__one ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Oatmost__one__unique_0) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C = D )
| ~ ( B @ ( A @ ( D @ c_in ) ) )
| ~ ( B @ ( A @ ( C @ c_in ) ) )
| ~ ( B @ ( A @ c_Infinite__Set_Oatmost__one ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(5,axiom,
( v_intY1
= ( t_a @ ( t_a @ ( v_cl @ c_Tarski_OTop ) @ ( t_a @ ( v_cl @ ( v_Y @ c_Tarski_Olub ) ) @ ( v_r @ c_Tarski_Ointerval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0) ).
thf(36,plain,
( v_intY1
= ( t_a @ ( t_a @ ( v_cl @ c_Tarski_OTop ) @ ( t_a @ ( v_cl @ ( v_Y @ c_Tarski_Olub ) ) @ ( v_r @ c_Tarski_Ointerval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ ( c_0 @ ( A @ c_List_Olexn ) ) )
= c_emptyset ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olexn_Osimps__1_0) ).
thf(30,plain,
! [B: $i,A: $i] :
( ( B @ ( c_0 @ ( A @ c_List_Olexn ) ) )
= c_emptyset ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(91,plain,
$false,
inference(e,[status(thm)],[88,42,52,57,89,59,66,63,87,40,79,47,83,60,85,28,38,64,32,34,71,54,49,81,76,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT269-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % 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
% 0.13/5.61 % Computer : n016.cluster.edu
% 0.13/5.61 % Model : x86_64 x86_64
% 0.13/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.61 % Memory : 8046.5625MB
% 0.13/5.61 % OS : Linux 6.8.0-71-generic
% 0.13/5.61 % CPULimit : 300
% 0.13/5.61 % WCLimit : 300
% 0.13/5.61 % DateTime : Fri Sep 25 20:27:22 UTC 2026
% 0.13/5.62 % CPUTime :
% 0.13/5.62 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
% 0.97/6.20 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.19/6.69 % [INFO] Parsing done (487ms).
% 2.55/6.71 % [INFO] Running in sequential loop mode.
% 3.26/7.09 % [INFO] eprover registered as external prover.
% 3.26/7.09 % [INFO] Scanning for conjecture ...
% 4.02/7.40 % [INFO] Found a conjecture (or negated_conjecture) and 2745 axioms. Running axiom selection ...
% 4.90/7.56 % [INFO] Axiom selection finished. Selected 26 axioms (removed 2719 axioms).
% 5.36/7.60 % [INFO] Problem is propositional (TPTP CNF).
% 5.36/7.61 % [INFO] Type checking passed.
% 5.36/7.62 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 7.42/8.32 % External prover 'e' found a proof!
% 7.42/8.32 % [INFO] Killing All external provers ...
% 7.42/8.32 % Time passed: 2563ms (effective reasoning time: 1602ms)
% 7.42/8.32 % Axioms used in derivation (26): cls_Tarski_Opotype_Oselect__convs__2_0, cls_Tarski_Opotype_Oupdate__convs__3_0, cls_Datatype_Ounit_Osize_0, cls_Tarski_Opotype_Oext__inject_2, cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0, cls_Set_Oall__not__in__conv_0, cls_Infinite__Set_Oatmost__one__unique_0, cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Aantisym_A_Iorder_Acl1_J_A_61_61_ATrue_0, cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Arefl_A_Ipset_Acl1_J_A_Iorder_Acl1_J_A_61_61_ATrue_0, cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Atrans_A_Iorder_Acl1_J_A_61_61_ATrue_0, cls_Tarski_Opotype_Oselect__convs__1_0, cls_Tarski_Opotype_Oext__inject_0, cls_Tarski_Opotype_Oext__inject_1, cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0, cls_Datatype_Ounit_Orecs_0, cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0, cls_Tarski_Ocl_A_58_ACompleteLattice_A_61_61_ATrue_0, cls_Tarski_Opotype_Oupdate__convs__2_0, cls_Tarski_Opotype_Oselect__convs__3_0, cls_Set_Oempty__iff_0, cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0, cls_Tarski_Opotype_Oupdate__convs__1_0, clsarity_Product____Type__Ounit_0, cls_Datatype_Ounit_Ocases_0, cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0, cls_List_Olexn_Osimps__1_0
% 7.42/8.32 % No. of inferences in proof: 55
% 7.42/8.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2563 ms resp. 1602 ms w/o parsing
% 7.42/8.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.42/8.39 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------