TSTP Solution File: LAT263-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LAT263-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:45:18 EDT 2022
% Result : Unsatisfiable 0.14s 0.33s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 63 ( 40 unt; 15 typ; 0 def)
% Number of atoms : 191 ( 66 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 585 ( 33 ~; 39 |; 0 &; 513 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 67 ( 0 ^ 67 !; 0 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Tarski_OCompleteLattice,type,
c_Tarski_OCompleteLattice: $i ).
thf(tp_c_Tarski_OPartialOrder,type,
c_Tarski_OPartialOrder: $i ).
thf(tp_c_Tarski_Odual,type,
c_Tarski_Odual: $i > $i > $i ).
thf(tp_c_Tarski_Oglb,type,
c_Tarski_Oglb: $i > $i > $i > $i ).
thf(tp_c_Tarski_Olub,type,
c_Tarski_Olub: $i > $i > $i > $i ).
thf(tp_c_Tarski_Opotype_Opset,type,
c_Tarski_Opotype_Opset: $i > $i > $i > $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_c_lessequals,type,
c_lessequals: $i > $i > $i > $o ).
thf(tp_t_a,type,
t_a: $i ).
thf(tp_tc_Product__Type_Ounit,type,
tc_Product__Type_Ounit: $i ).
thf(tp_tc_Tarski_Opotype_Opotype__ext__type,type,
tc_Tarski_Opotype_Opotype__ext__type: $i > $i > $i ).
thf(tp_tc_set,type,
tc_set: $i > $i ).
thf(tp_v_A,type,
v_A: $i ).
thf(tp_v_S,type,
v_S: $i ).
thf(tp_v_cl,type,
v_cl: $i ).
thf(1,axiom,
! [V_cl: $i,T_a: $i] :
( ( c_Tarski_Opotype_Opset @ ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a @ tc_Product__Type_Ounit )
= ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
thf(2,axiom,
! [V_S: $i,V_cl: $i,T_a: $i] :
( ( c_Tarski_Oglb @ V_S @ V_cl @ T_a )
= ( c_Tarski_Olub @ V_S @ ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
thf(3,axiom,
c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
thf(4,axiom,
c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
thf(5,axiom,
! [V_cl: $i,T_a: $i,V_S: $i] :
( ~ ( c_in @ V_cl @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
| ~ ( c_in @ V_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
| ~ ( c_lessequals @ V_S @ ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @ ( tc_set @ T_a ) )
| ( c_in @ ( c_Tarski_Olub @ V_S @ V_cl @ T_a ) @ ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).
thf(6,axiom,
( v_A
= ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
thf(7,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(8,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,negated_conjecture,
~ ( c_in @ ( c_Tarski_Oglb @ v_S @ v_cl @ t_a ) @ v_A @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(10,negated_conjecture,
c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(11,plain,
$false = $false,
inference(unfold_def,[status(thm)],[8]) ).
thf(12,plain,
( ( ! [V_cl: $i,T_a: $i] :
( ( c_Tarski_Opotype_Opset @ ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a @ tc_Product__Type_Ounit )
= ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [V_S: $i,V_cl: $i,T_a: $i] :
( ( c_Tarski_Oglb @ V_S @ V_cl @ T_a )
= ( c_Tarski_Olub @ V_S @ ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [V_cl: $i,T_a: $i,V_S: $i] :
( ~ ( c_in @ V_cl @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
| ~ ( c_in @ V_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
| ~ ( c_lessequals @ V_S @ ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @ ( tc_set @ T_a ) )
| ( c_in @ ( c_Tarski_Olub @ V_S @ V_cl @ T_a ) @ ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( v_A
= ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ~ ( c_in @ ( c_Tarski_Oglb @ v_S @ v_cl @ t_a ) @ v_A @ t_a ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(19,plain,
( ( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(20,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,plain,
( ( ! [V_cl: $i,T_a: $i] :
( ~ ( c_in @ V_cl @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
| ~ ( c_in @ V_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
| ! [V_S: $i] :
( ~ ( c_lessequals @ V_S @ ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @ ( tc_set @ T_a ) )
| ( c_in @ ( c_Tarski_Olub @ V_S @ V_cl @ T_a ) @ ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(22,plain,
( ( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( c_in @ ( c_Tarski_Oglb @ v_S @ v_cl @ t_a ) @ v_A @ t_a ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(24,plain,
( ( v_A
= ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(25,plain,
( ( ! [V_cl: $i,T_a: $i] :
( ~ ( c_in @ V_cl @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
| ~ ( c_in @ V_cl @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ T_a @ tc_Product__Type_Ounit ) )
| ! [V_S: $i] :
( ~ ( c_lessequals @ V_S @ ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @ ( tc_set @ T_a ) )
| ( c_in @ ( c_Tarski_Olub @ V_S @ V_cl @ T_a ) @ ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(26,plain,
( ( c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(27,plain,
( ( c_in @ ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(28,plain,
( ( ! [V_S: $i,V_cl: $i,T_a: $i] :
( ( c_Tarski_Oglb @ V_S @ V_cl @ T_a )
= ( c_Tarski_Olub @ V_S @ ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(29,plain,
( ( ! [V_cl: $i,T_a: $i] :
( ( c_Tarski_Opotype_Opset @ ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a @ tc_Product__Type_Ounit )
= ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(30,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(31,plain,
( ( c_in @ ( c_Tarski_Oglb @ v_S @ v_cl @ t_a ) @ v_A @ t_a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(32,plain,
! [SV1: $i] :
( ( ! [SY8: $i] :
( ~ ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SY8 @ tc_Product__Type_Ounit ) )
| ~ ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SY8 @ tc_Product__Type_Ounit ) )
| ! [SY9: $i] :
( ~ ( c_lessequals @ SY9 @ ( c_Tarski_Opotype_Opset @ SV1 @ SY8 @ tc_Product__Type_Ounit ) @ ( tc_set @ SY8 ) )
| ( c_in @ ( c_Tarski_Olub @ SY9 @ SV1 @ SY8 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SY8 @ tc_Product__Type_Ounit ) @ SY8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(33,plain,
! [SV2: $i] :
( ( ! [SY10: $i,SY11: $i] :
( ( c_Tarski_Oglb @ SV2 @ SY10 @ SY11 )
= ( c_Tarski_Olub @ SV2 @ ( c_Tarski_Odual @ SY10 @ SY11 ) @ SY11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(34,plain,
! [SV3: $i] :
( ( ! [SY12: $i] :
( ( c_Tarski_Opotype_Opset @ ( c_Tarski_Odual @ SV3 @ SY12 ) @ SY12 @ tc_Product__Type_Ounit )
= ( c_Tarski_Opotype_Opset @ SV3 @ SY12 @ tc_Product__Type_Ounit ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(35,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV4: $i,SV1: $i] :
( ( ~ ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
| ~ ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
| ! [SY13: $i] :
( ~ ( c_lessequals @ SY13 @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ ( tc_set @ SV4 ) )
| ( c_in @ ( c_Tarski_Olub @ SY13 @ SV1 @ SV4 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV5: $i,SV2: $i] :
( ( ! [SY14: $i] :
( ( c_Tarski_Oglb @ SV2 @ SV5 @ SY14 )
= ( c_Tarski_Olub @ SV2 @ ( c_Tarski_Odual @ SV5 @ SY14 ) @ SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV6: $i,SV3: $i] :
( ( ( c_Tarski_Opotype_Opset @ ( c_Tarski_Odual @ SV3 @ SV6 ) @ SV6 @ tc_Product__Type_Ounit )
= ( c_Tarski_Opotype_Opset @ SV3 @ SV6 @ tc_Product__Type_Ounit ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) ) )
= $true )
| ( ( ~ ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
| ! [SY13: $i] :
( ~ ( c_lessequals @ SY13 @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ ( tc_set @ SV4 ) )
| ( c_in @ ( c_Tarski_Olub @ SY13 @ SV1 @ SV4 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV7: $i,SV5: $i,SV2: $i] :
( ( ( c_Tarski_Oglb @ SV2 @ SV5 @ SV7 )
= ( c_Tarski_Olub @ SV2 @ ( c_Tarski_Odual @ SV5 @ SV7 ) @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(41,plain,
! [SV4: $i,SV1: $i] :
( ( ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false )
| ( ( ~ ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
| ! [SY13: $i] :
( ~ ( c_lessequals @ SY13 @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ ( tc_set @ SV4 ) )
| ( c_in @ ( c_Tarski_Olub @ SY13 @ SV1 @ SV4 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV4: $i,SV1: $i] :
( ( ( ~ ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) ) )
= $true )
| ( ( ! [SY13: $i] :
( ~ ( c_lessequals @ SY13 @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ ( tc_set @ SV4 ) )
| ( c_in @ ( c_Tarski_Olub @ SY13 @ SV1 @ SV4 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 ) ) )
= $true )
| ( ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV4: $i,SV1: $i] :
( ( ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false )
| ( ( ! [SY13: $i] :
( ~ ( c_lessequals @ SY13 @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ ( tc_set @ SV4 ) )
| ( c_in @ ( c_Tarski_Olub @ SY13 @ SV1 @ SV4 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 ) ) )
= $true )
| ( ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(44,plain,
! [SV4: $i,SV1: $i,SV8: $i] :
( ( ( ~ ( c_lessequals @ SV8 @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ ( tc_set @ SV4 ) )
| ( c_in @ ( c_Tarski_Olub @ SV8 @ SV1 @ SV4 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 ) )
= $true )
| ( ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false )
| ( ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(45,plain,
! [SV4: $i,SV1: $i,SV8: $i] :
( ( ( ~ ( c_lessequals @ SV8 @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ ( tc_set @ SV4 ) ) )
= $true )
| ( ( c_in @ ( c_Tarski_Olub @ SV8 @ SV1 @ SV4 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 )
= $true )
| ( ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false )
| ( ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV4: $i,SV1: $i,SV8: $i] :
( ( ( c_lessequals @ SV8 @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ ( tc_set @ SV4 ) )
= $false )
| ( ( c_in @ ( c_Tarski_Olub @ SV8 @ SV1 @ SV4 ) @ ( c_Tarski_Opotype_Opset @ SV1 @ SV4 @ tc_Product__Type_Ounit ) @ SV4 )
= $true )
| ( ( c_in @ SV1 @ c_Tarski_OPartialOrder @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false )
| ( ( c_in @ SV1 @ c_Tarski_OCompleteLattice @ ( tc_Tarski_Opotype_Opotype__ext__type @ SV4 @ tc_Product__Type_Ounit ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(47,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,46,40,38,35,31,27,26,24]) ).
thf(48,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LAT263-2 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Wed Jun 29 05:42:13 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.10/0.30
% 0.10/0.30 No.of.Axioms: 8
% 0.10/0.30
% 0.10/0.30 Length.of.Defs: 0
% 0.10/0.30
% 0.10/0.30 Contains.Choice.Funs: false
% 0.10/0.30 (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:10,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.14/0.33
% 0.14/0.33 ********************************
% 0.14/0.33 * All subproblems solved! *
% 0.14/0.33 ********************************
% 0.14/0.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:47,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.33
% 0.14/0.33 %**** Beginning of derivation protocol ****
% 0.14/0.33 % SZS output start CNFRefutation
% See solution above
% 0.14/0.33
% 0.14/0.33 %**** End of derivation protocol ****
% 0.14/0.33 %**** no. of clauses in derivation: 48 ****
% 0.14/0.33 %**** clause counter: 47 ****
% 0.14/0.33
% 0.14/0.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:47,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------