TSTP Solution File: SCT122+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT122+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BBn0rie1Bs true
% Computer : n028.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 : 300s
% DateTime : Thu Aug 31 14:27:16 EDT 2023
% Result : Theorem 55.99s 8.66s
% Output : Refutation 55.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 41
% Syntax : Number of formulae : 113 ( 41 unt; 24 typ; 0 def)
% Number of atoms : 179 ( 26 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1209 ( 61 ~; 61 |; 8 &;1058 @)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 9 con; 0-4 aty)
% Number of variables : 159 ( 0 ^; 159 !; 0 ?; 159 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Relation_Ototal__on_type,type,
c_Relation_Ototal__on: $i > $i > $i > $o ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(c_Relation_Otrans_type,type,
c_Relation_Otrans: $i > $i > $o ).
thf(c_Product__Type_OPair_type,type,
c_Product__Type_OPair: $i > $i > $i > $i > $i ).
thf(c_member_type,type,
c_member: $i > $i > $i > $o ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_Transitive__Closure_Otrancl_type,type,
c_Transitive__Closure_Otrancl: $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(v_a_type,type,
v_a: $i ).
thf(tc_Arrow__Order__Mirabelle_Oalt_type,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
thf(c_Orderings_Otop__class_Otop_type,type,
c_Orderings_Otop__class_Otop: $i > $i ).
thf(v_i_type,type,
v_i: $i ).
thf(c_Relation_OId_type,type,
c_Relation_OId: $i > $i ).
thf(v_P_type,type,
v_P: $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i > $i > $i ).
thf(v_F_type,type,
v_F: $i > $i ).
thf(sk__87_type,type,
sk__87: $i ).
thf(c_Lattices_Osemilattice__sup__class_Osup_type,type,
c_Lattices_Osemilattice__sup__class_Osup: $i > $i > $i > $i ).
thf(tc_HOL_Obool_type,type,
tc_HOL_Obool: $i ).
thf(c_Transitive__Closure_Ortrancl_type,type,
c_Transitive__Closure_Ortrancl: $i > $i > $i ).
thf(v_b_type,type,
v_b: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(sk__86_type,type,
sk__86: $i ).
thf(c_Relation_Oirrefl_type,type,
c_Relation_Oirrefl: $i > $i > $o ).
thf(conj_2,axiom,
( ! [B_x: $i] :
( ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ B_x ) )
& ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ B_x ) )
& ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ B_x ) ) )
=> ( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) )
& ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) )
& ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( v_F @ v_P ) ) ) ) ).
thf(zip_derived_cl788,plain,
( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) )
| ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ sk__86 ) )
| ~ ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ sk__86 ) )
| ~ ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ sk__86 ) ) ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(conj_0,axiom,
! [B_x: $i] :
( ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ B_x ) )
& ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ B_x ) )
& ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ B_x ) ) ) ).
thf(zip_derived_cl784,plain,
! [X0: $i] : ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl785,plain,
! [X0: $i] : ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl2749,plain,
( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) )
| ~ ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ sk__86 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl788,zip_derived_cl784,zip_derived_cl785]) ).
thf(zip_derived_cl786,plain,
! [X0: $i] : ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl2782,plain,
c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ),
inference(demod,[status(thm)],[zip_derived_cl2749,zip_derived_cl786]) ).
thf(fact_trancl__id,axiom,
! [V_r_2: $i,T_a: $i] :
( ( c_Relation_Otrans @ T_a @ V_r_2 )
=> ( ( c_Transitive__Closure_Otrancl @ T_a @ V_r_2 )
= V_r_2 ) ) ).
thf(zip_derived_cl277,plain,
! [X0: $i,X1: $i] :
( ( ( c_Transitive__Closure_Otrancl @ X1 @ X0 )
= X0 )
| ~ ( c_Relation_Otrans @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_trancl__id]) ).
thf(zip_derived_cl2797,plain,
( ( c_Transitive__Closure_Otrancl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) )
= ( v_F @ v_P ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2782,zip_derived_cl277]) ).
thf(fact_reflcl__trancl,axiom,
! [V_r_2: $i,T_a: $i] :
( ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ ( tc_prod @ T_a @ T_a ) @ tc_HOL_Obool ) @ ( c_Transitive__Closure_Otrancl @ T_a @ V_r_2 ) @ ( c_Relation_OId @ T_a ) )
= ( c_Transitive__Closure_Ortrancl @ T_a @ V_r_2 ) ) ).
thf(zip_derived_cl262,plain,
! [X0: $i,X1: $i] :
( ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ ( tc_prod @ X0 @ X0 ) @ tc_HOL_Obool ) @ ( c_Transitive__Closure_Otrancl @ X0 @ X1 ) @ ( c_Relation_OId @ X0 ) )
= ( c_Transitive__Closure_Ortrancl @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_reflcl__trancl]) ).
thf(zip_derived_cl7824,plain,
( ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ tc_HOL_Obool ) @ ( v_F @ v_P ) @ ( c_Relation_OId @ tc_Arrow__Order__Mirabelle_Oalt ) )
= ( c_Transitive__Closure_Ortrancl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2797,zip_derived_cl262]) ).
thf(fact_UnCI,axiom,
! [V_A_2: $i,V_B_2: $i,V_c_2: $i,T_a: $i] :
( ( ~ ( c_member @ T_a @ V_c_2 @ V_B_2 )
=> ( c_member @ T_a @ V_c_2 @ V_A_2 ) )
=> ( c_member @ T_a @ V_c_2 @ ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ T_a @ tc_HOL_Obool ) @ V_A_2 @ V_B_2 ) ) ) ).
thf(zip_derived_cl232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_member @ X0 @ X1 @ ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ X0 @ tc_HOL_Obool ) @ X2 @ X3 ) )
| ~ ( c_member @ X0 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[fact_UnCI]) ).
thf(zip_derived_cl7896,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ X0 @ ( c_Transitive__Closure_Ortrancl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ X0 @ ( c_Relation_OId @ tc_Arrow__Order__Mirabelle_Oalt ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7824,zip_derived_cl232]) ).
thf(conj_1,axiom,
c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( v_F @ v_P ) ).
thf(zip_derived_cl787,plain,
c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( v_F @ v_P ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_mem__def,axiom,
! [V_A_2: $i,V_x_2: $i,T_a: $i] :
( ( c_member @ T_a @ V_x_2 @ V_A_2 )
<=> ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ~ ( c_member @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl2811,plain,
hBOOL @ ( hAPP @ ( v_F @ v_P ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl787,zip_derived_cl48]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_member @ X0 @ X1 @ X2 )
| ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl2844,plain,
! [X0: $i] : ( c_member @ X0 @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( v_F @ v_P ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2811,zip_derived_cl49]) ).
thf(fact_rtrancl__into__trancl2,axiom,
! [V_c_2: $i,V_r_2: $i,V_b_2: $i,V_a_2: $i,T_a: $i] :
( ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ V_a_2 @ V_b_2 ) @ V_r_2 )
=> ( ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ V_b_2 @ V_c_2 ) @ ( c_Transitive__Closure_Ortrancl @ T_a @ V_r_2 ) )
=> ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ V_a_2 @ V_c_2 ) @ ( c_Transitive__Closure_Otrancl @ T_a @ V_r_2 ) ) ) ) ).
thf(zip_derived_cl294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X1 @ X2 ) @ ( c_Transitive__Closure_Ortrancl @ X0 @ X3 ) )
| ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X4 @ X2 ) @ ( c_Transitive__Closure_Otrancl @ X0 @ X3 ) )
| ~ ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X4 @ X1 ) @ X3 ) ),
inference(cnf,[status(esa)],[fact_rtrancl__into__trancl2]) ).
thf(zip_derived_cl8996,plain,
! [X0: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ X0 ) @ ( c_Transitive__Closure_Ortrancl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ X0 ) @ ( c_Transitive__Closure_Otrancl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2844,zip_derived_cl294]) ).
thf(zip_derived_cl2797_001,plain,
( ( c_Transitive__Closure_Otrancl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) )
= ( v_F @ v_P ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2782,zip_derived_cl277]) ).
thf(zip_derived_cl9045,plain,
! [X0: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ X0 ) @ ( c_Transitive__Closure_Ortrancl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ X0 ) @ ( v_F @ v_P ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8996,zip_derived_cl2797]) ).
thf(zip_derived_cl9106,plain,
! [X0: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ X0 ) @ ( c_Relation_OId @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ X0 ) @ ( v_F @ v_P ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7896,zip_derived_cl9045]) ).
thf(fact_insert__absorb,axiom,
! [V_A_2: $i,V_a_2: $i,T_a: $i] :
( ( c_member @ T_a @ V_a_2 @ V_A_2 )
=> ( ( c_Set_Oinsert @ T_a @ V_a_2 @ V_A_2 )
= V_A_2 ) ) ).
thf(zip_derived_cl368,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Set_Oinsert @ X1 @ X2 @ X0 )
= X0 )
| ~ ( c_member @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[fact_insert__absorb]) ).
thf(fact_insertCI,axiom,
! [V_b_2: $i,V_B_2: $i,V_a_2: $i,T_a: $i] :
( ( ~ ( c_member @ T_a @ V_a_2 @ V_B_2 )
=> ( V_a_2 = V_b_2 ) )
=> ( c_member @ T_a @ V_a_2 @ ( c_Set_Oinsert @ T_a @ V_b_2 @ V_B_2 ) ) ) ).
thf(zip_derived_cl348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_member @ X0 @ X1 @ ( c_Set_Oinsert @ X0 @ X2 @ X3 ) )
| ( X1 != X2 ) ),
inference(cnf,[status(esa)],[fact_insertCI]) ).
thf(zip_derived_cl3014,plain,
! [X0: $i,X1: $i,X2: $i] : ( c_member @ X2 @ X1 @ ( c_Set_Oinsert @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl48_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
| ~ ( c_member @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl3020,plain,
! [X0: $i,X1: $i,X2: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ X2 @ X1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3014,zip_derived_cl48]) ).
thf(zip_derived_cl49_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_member @ X0 @ X1 @ X2 )
| ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_mem__def]) ).
thf(zip_derived_cl4529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( c_member @ X3 @ X0 @ ( c_Set_Oinsert @ X2 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3020,zip_derived_cl49]) ).
thf(fact_irrefl__def,axiom,
! [V_r_2: $i,T_a: $i] :
( ( c_Relation_Oirrefl @ T_a @ V_r_2 )
<=> ! [B_x: $i] :
~ ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ B_x @ B_x ) @ V_r_2 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X1 @ X1 ) @ X2 )
| ~ ( c_Relation_Oirrefl @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[fact_irrefl__def]) ).
thf(zip_derived_cl4579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
~ ( c_Relation_Oirrefl @ X2 @ ( c_Set_Oinsert @ X3 @ ( c_Product__Type_OPair @ X2 @ X2 @ X1 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4529,zip_derived_cl2]) ).
thf(zip_derived_cl4749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_member @ X3 @ ( c_Product__Type_OPair @ X2 @ X2 @ X1 @ X1 ) @ X0 )
| ~ ( c_Relation_Oirrefl @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl4579]) ).
thf(zip_derived_cl9119,plain,
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ v_a ) @ ( c_Relation_OId @ tc_Arrow__Order__Mirabelle_Oalt ) )
| ~ ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9106,zip_derived_cl4749]) ).
thf(zip_derived_cl789,plain,
( ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) )
| ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ sk__86 ) )
| ~ ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ sk__86 ) )
| ~ ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ sk__86 ) ) ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(zip_derived_cl784_004,plain,
! [X0: $i] : ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl785_005,plain,
! [X0: $i] : ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl2754,plain,
( ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) )
| ~ ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ sk__86 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl789,zip_derived_cl784,zip_derived_cl785]) ).
thf(zip_derived_cl786_006,plain,
! [X0: $i] : ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl2783,plain,
c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ),
inference(demod,[status(thm)],[zip_derived_cl2754,zip_derived_cl786]) ).
thf(zip_derived_cl9147,plain,
~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ v_a ) @ ( c_Relation_OId @ tc_Arrow__Order__Mirabelle_Oalt ) ),
inference(demod,[status(thm)],[zip_derived_cl9119,zip_derived_cl2783]) ).
thf(zip_derived_cl786_007,plain,
! [X0: $i] : ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(fact_total__on__def,axiom,
! [V_r_2: $i,V_A_2: $i,T_a: $i] :
( ( c_Relation_Ototal__on @ T_a @ V_A_2 @ V_r_2 )
<=> ! [B_x: $i] :
( ( c_member @ T_a @ B_x @ V_A_2 )
=> ! [B_xa: $i] :
( ( c_member @ T_a @ B_xa @ V_A_2 )
=> ( ( B_x != B_xa )
=> ( ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ B_x @ B_xa ) @ V_r_2 )
| ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ B_xa @ B_x ) @ V_r_2 ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( c_member @ X0 @ X1 @ X2 )
| ( X1 = X3 )
| ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X1 @ X3 ) @ X4 )
| ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X3 @ X1 ) @ X4 )
| ~ ( c_member @ X0 @ X3 @ X2 )
| ~ ( c_Relation_Ototal__on @ X0 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[fact_total__on__def]) ).
thf(zip_derived_cl2785,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_member @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) )
| ( X1 = X2 )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X2 ) @ ( hAPP @ v_P @ X0 ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X2 @ X1 ) @ ( hAPP @ v_P @ X0 ) )
| ~ ( c_member @ tc_Arrow__Order__Mirabelle_Oalt @ X2 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl786,zip_derived_cl4]) ).
thf(fact_UNIV__I,axiom,
! [V_x_2: $i,T_a: $i] : ( c_member @ T_a @ V_x_2 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_HOL_Obool ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] : ( c_member @ X0 @ X1 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[fact_UNIV__I]) ).
thf(zip_derived_cl1_008,plain,
! [X0: $i,X1: $i] : ( c_member @ X0 @ X1 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
inference(cnf,[status(esa)],[fact_UNIV__I]) ).
thf(zip_derived_cl2786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X2 ) @ ( hAPP @ v_P @ X0 ) )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X2 @ X1 ) @ ( hAPP @ v_P @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2785,zip_derived_cl1,zip_derived_cl1]) ).
thf(conj_3,axiom,
( ! [B_x: $i] :
( ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ B_x ) )
& ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ B_x ) )
& ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ B_x ) ) )
=> ! [B_a: $i,B_b: $i] :
( ( B_a != B_b )
=> ( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_a @ B_b ) @ ( hAPP @ v_P @ v_i ) )
=> ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_a @ B_b ) @ ( v_F @ v_P ) ) ) ) ) ).
thf(zip_derived_cl791,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X0 ) @ ( v_F @ v_P ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X0 ) @ ( hAPP @ v_P @ v_i ) )
| ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ sk__87 ) )
| ~ ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ sk__87 ) )
| ~ ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ sk__87 ) ) ),
inference(cnf,[status(esa)],[conj_3]) ).
thf(zip_derived_cl784_009,plain,
! [X0: $i] : ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl785_010,plain,
! [X0: $i] : ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl786_011,plain,
! [X0: $i] : ( c_Relation_Ototal__on @ tc_Arrow__Order__Mirabelle_Oalt @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_HOL_Obool ) ) @ ( hAPP @ v_P @ X0 ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl2820,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X0 ) @ ( v_F @ v_P ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X1 @ X0 ) @ ( hAPP @ v_P @ v_i ) ) ),
inference(demod,[status(thm)],[zip_derived_cl791,zip_derived_cl784,zip_derived_cl785,zip_derived_cl786]) ).
thf(zip_derived_cl787_012,plain,
c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( v_F @ v_P ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_trans__def,axiom,
! [V_r_2: $i,T_a: $i] :
( ( c_Relation_Otrans @ T_a @ V_r_2 )
<=> ! [B_x: $i,B_y: $i] :
( ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ B_x @ B_y ) @ V_r_2 )
=> ! [B_z: $i] :
( ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ B_y @ B_z ) @ V_r_2 )
=> ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ B_x @ B_z ) @ V_r_2 ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X1 @ X2 ) @ X3 )
| ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X1 @ X4 ) @ X3 )
| ~ ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X2 @ X4 ) @ X3 )
| ~ ( c_Relation_Otrans @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[fact_trans__def]) ).
thf(zip_derived_cl2764,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ X0 ) @ ( v_F @ v_P ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ X0 ) @ ( v_F @ v_P ) )
| ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl787,zip_derived_cl10]) ).
thf(zip_derived_cl2782_013,plain,
c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ),
inference(demod,[status(thm)],[zip_derived_cl2749,zip_derived_cl786]) ).
thf(zip_derived_cl2787,plain,
! [X0: $i] :
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ X0 ) @ ( v_F @ v_P ) )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ X0 ) @ ( v_F @ v_P ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2764,zip_derived_cl2782]) ).
thf(zip_derived_cl2827,plain,
! [X0: $i] :
( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ X0 ) @ ( hAPP @ v_P @ v_i ) )
| ( v_b = X0 )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ X0 ) @ ( v_F @ v_P ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2820,zip_derived_cl2787]) ).
thf(zip_derived_cl2_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X1 @ X1 ) @ X2 )
| ~ ( c_Relation_Oirrefl @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[fact_irrefl__def]) ).
thf(zip_derived_cl2862,plain,
( ( v_b = v_a )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ v_a ) @ ( hAPP @ v_P @ v_i ) )
| ~ ( c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2827,zip_derived_cl2]) ).
thf(zip_derived_cl2783_015,plain,
c_Relation_Oirrefl @ tc_Arrow__Order__Mirabelle_Oalt @ ( v_F @ v_P ),
inference(demod,[status(thm)],[zip_derived_cl2754,zip_derived_cl786]) ).
thf(zip_derived_cl2864,plain,
( ( v_b = v_a )
| ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_b @ v_a ) @ ( hAPP @ v_P @ v_i ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2862,zip_derived_cl2783]) ).
thf(zip_derived_cl29033,plain,
( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( hAPP @ v_P @ v_i ) )
| ( v_b = v_a )
| ( v_b = v_a ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2786,zip_derived_cl2864]) ).
thf(zip_derived_cl29106,plain,
( ( v_b = v_a )
| ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( hAPP @ v_P @ v_i ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl29033]) ).
thf(conj_4,conjecture,
c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( hAPP @ v_P @ v_i ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( hAPP @ v_P @ v_i ) ),
inference('cnf.neg',[status(esa)],[conj_4]) ).
thf(zip_derived_cl792,plain,
~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ v_a @ v_b ) @ ( hAPP @ v_P @ v_i ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29119,plain,
v_b = v_a,
inference(clc,[status(thm)],[zip_derived_cl29106,zip_derived_cl792]) ).
thf(fact_IdI,axiom,
! [V_a_2: $i,T_a: $i] : ( c_member @ ( tc_prod @ T_a @ T_a ) @ ( c_Product__Type_OPair @ T_a @ T_a @ V_a_2 @ V_a_2 ) @ ( c_Relation_OId @ T_a ) ) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] : ( c_member @ ( tc_prod @ X0 @ X0 ) @ ( c_Product__Type_OPair @ X0 @ X0 @ X1 @ X1 ) @ ( c_Relation_OId @ X0 ) ),
inference(cnf,[status(esa)],[fact_IdI]) ).
thf(zip_derived_cl368_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Set_Oinsert @ X1 @ X2 @ X0 )
= X0 )
| ~ ( c_member @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[fact_insert__absorb]) ).
thf(zip_derived_cl4529_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( c_member @ X3 @ X0 @ ( c_Set_Oinsert @ X2 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3020,zip_derived_cl49]) ).
thf(zip_derived_cl4594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_member @ X2 @ X1 @ X0 )
| ( c_member @ X3 @ X1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl368,zip_derived_cl4529]) ).
thf(zip_derived_cl4666,plain,
! [X0: $i,X1: $i,X2: $i] : ( c_member @ X2 @ ( c_Product__Type_OPair @ X0 @ X0 @ X1 @ X1 ) @ ( c_Relation_OId @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl4594]) ).
thf(zip_derived_cl29171,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9147,zip_derived_cl29119,zip_derived_cl4666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT122+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BBn0rie1Bs true
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 16:20:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.17/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 55.99/8.66 % Solved by fo/fo6_bce.sh.
% 55.99/8.66 % BCE start: 793
% 55.99/8.66 % BCE eliminated: 23
% 55.99/8.66 % PE start: 770
% 55.99/8.66 logic: eq
% 55.99/8.66 % PE eliminated: 16
% 55.99/8.66 % done 2173 iterations in 7.928s
% 55.99/8.66 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 55.99/8.66 % SZS output start Refutation
% See solution above
% 55.99/8.66
% 55.99/8.66
% 55.99/8.66 % Terminating...
% 56.65/8.75 % Runner terminated.
% 56.65/8.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------