TSTP Solution File: SWW369+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW369+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.EEnOTdY8eZ true
% Computer : n029.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 : Fri Sep 1 01:41:43 EDT 2023
% Result : Theorem 243.57s 35.84s
% Output : Refutation 243.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 31
% Syntax : Number of formulae : 61 ( 32 unt; 20 typ; 0 def)
% Number of atoms : 55 ( 33 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 732 ( 15 ~; 8 |; 1 &; 703 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 10 con; 0-3 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Finite__Set_Ofinite_type,type,
c_Finite__Set_Ofinite: $i > $i ).
thf(c_SetInterval_Oord__class_OatLeastLessThan_type,type,
c_SetInterval_Oord__class_OatLeastLessThan: $i > $i > $i ).
thf(v_G_type,type,
v_G: $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Groups_Ominus__class_Ominus_type,type,
c_Groups_Ominus__class_Ominus: $i > $i ).
thf(v_n_type,type,
v_n: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_Set_Oimage_type,type,
c_Set_Oimage: $i > $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i ).
thf(v_pn_type,type,
v_pn: $i ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i ).
thf(c_Finite__Set_Ocard_type,type,
c_Finite__Set_Ocard: $i > $i ).
thf(c_Set_Oinsert_type,type,
c_Set_Oinsert: $i > $i ).
thf(c_member_type,type,
c_member: $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i ).
thf(v_U_type,type,
v_U: $i ).
thf(v_mgt__call_type,type,
v_mgt__call: $i ).
thf(tc_Com_Opname_type,type,
tc_Com_Opname: $i ).
thf(conj_4,axiom,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ) ).
thf(zip_derived_cl3029,plain,
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ),
inference(cnf,[status(esa)],[conj_4]) ).
thf(fact_card__insert__if,axiom,
! [V_x_2: $i,V_A_2: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ T_b ) @ V_A_2 ) )
=> ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_A_2 ) )
=> ( ( hAPP @ ( c_Finite__Set_Ocard @ T_b ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_x_2 ) @ V_A_2 ) )
= ( hAPP @ ( c_Finite__Set_Ocard @ T_b ) @ V_A_2 ) ) )
& ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_A_2 ) )
=> ( ( hAPP @ ( c_Finite__Set_Ocard @ T_b ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_x_2 ) @ V_A_2 ) )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ T_b ) @ V_A_2 ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
| ( ( hAPP @ ( c_Finite__Set_Ocard @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ X2 ) )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ X0 ) @ X2 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_card__insert__if]) ).
thf(conj_6,conjecture,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) @ v_n ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) @ v_n ) ),
inference('cnf.neg',[status(esa)],[conj_6]) ).
thf(zip_derived_cl3031,plain,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) @ v_n ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_card__atLeastLessThan,axiom,
! [V_u_2: $i,V_l_2: $i] :
( ( hAPP @ ( c_Finite__Set_Ocard @ tc_Nat_Onat ) @ ( hAPP @ ( c_SetInterval_Oord__class_OatLeastLessThan @ tc_Nat_Onat @ V_l_2 ) @ V_u_2 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ V_u_2 ) @ V_l_2 ) ) ).
thf(zip_derived_cl1014,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( c_Finite__Set_Ocard @ tc_Nat_Onat ) @ ( hAPP @ ( c_SetInterval_Oord__class_OatLeastLessThan @ tc_Nat_Onat @ X1 ) @ X0 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_card__atLeastLessThan]) ).
thf(zip_derived_cl6272,plain,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
!= ( hAPP @ ( c_Finite__Set_Ocard @ tc_Nat_Onat ) @ ( hAPP @ ( c_SetInterval_Oord__class_OatLeastLessThan @ tc_Nat_Onat @ v_n ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3031,zip_derived_cl1014]) ).
thf(conj_2,axiom,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) ) ).
thf(zip_derived_cl3027,plain,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(fact_le__add__diff__inverse,axiom,
! [V_m: $i,V_n: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat ) @ V_n ) @ V_m ) )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ V_n ) @ ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ V_m ) @ V_n ) )
= V_m ) ) ).
thf(zip_derived_cl402,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ X0 ) @ X1 ) )
= X0 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_le__add__diff__inverse]) ).
thf(zip_derived_cl46176,plain,
( ( ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) )
= ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3027,zip_derived_cl402]) ).
thf(fact_add__Suc,axiom,
! [V_n: $i,V_m: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ V_m ) ) @ V_n )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ V_m ) @ V_n ) ) ) ).
thf(zip_derived_cl338,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ X0 ) ) @ X1 )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_add__Suc]) ).
thf(conj_1,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) ).
thf(zip_derived_cl3026,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(zip_derived_cl46190,plain,
( ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ v_n ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) )
= ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46176,zip_derived_cl338,zip_derived_cl3026]) ).
thf(zip_derived_cl1014_001,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( c_Finite__Set_Ocard @ tc_Nat_Onat ) @ ( hAPP @ ( c_SetInterval_Oord__class_OatLeastLessThan @ tc_Nat_Onat @ X1 ) @ X0 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_card__atLeastLessThan]) ).
thf(zip_derived_cl48707,plain,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
!= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ v_n ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) ) ) @ v_n ) ),
inference(demod,[status(thm)],[zip_derived_cl6272,zip_derived_cl46190,zip_derived_cl1014]) ).
thf(zip_derived_cl3026_002,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_Suc__diff__le,axiom,
! [V_m: $i,V_n: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat ) @ V_n ) @ V_m ) )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ V_m ) ) @ V_n )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ V_m ) @ V_n ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ X0 ) ) @ X1 )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ X0 ) @ X1 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_Nat_Onat ) @ X1 ) @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_Suc__diff__le]) ).
thf(zip_derived_cl32618,plain,
( ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) ) @ ( hAPP @ c_Nat_OSuc @ v_n ) )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3026,zip_derived_cl12]) ).
thf(fact_diff__Suc__Suc,axiom,
! [V_n: $i,V_m: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ V_m ) ) @ ( hAPP @ c_Nat_OSuc @ V_n ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ V_m ) @ V_n ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ X0 ) ) @ ( hAPP @ c_Nat_OSuc @ X1 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_diff__Suc__Suc]) ).
thf(zip_derived_cl1014_003,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( c_Finite__Set_Ocard @ tc_Nat_Onat ) @ ( hAPP @ ( c_SetInterval_Oord__class_OatLeastLessThan @ tc_Nat_Onat @ X1 ) @ X0 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_card__atLeastLessThan]) ).
thf(zip_derived_cl3027_004,plain,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) @ ( hAPP @ c_Nat_OSuc @ v_n ) ) ),
inference(cnf,[status(esa)],[conj_2]) ).
thf(zip_derived_cl32646,plain,
( ( hAPP @ ( c_Finite__Set_Ocard @ tc_Nat_Onat ) @ ( hAPP @ ( c_SetInterval_Oord__class_OatLeastLessThan @ tc_Nat_Onat @ v_n ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32618,zip_derived_cl71,zip_derived_cl1014,zip_derived_cl3027]) ).
thf(zip_derived_cl46190_005,plain,
( ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ v_n ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) )
= ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46176,zip_derived_cl338,zip_derived_cl3026]) ).
thf(zip_derived_cl1014_006,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( c_Finite__Set_Ocard @ tc_Nat_Onat ) @ ( hAPP @ ( c_SetInterval_Oord__class_OatLeastLessThan @ tc_Nat_Onat @ X1 ) @ X0 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_card__atLeastLessThan]) ).
thf(zip_derived_cl65432,plain,
( ( hAPP @ ( hAPP @ ( c_Groups_Ominus__class_Ominus @ tc_Nat_Onat ) @ ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat ) @ v_n ) @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) ) ) @ v_n )
= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32646,zip_derived_cl46190,zip_derived_cl1014]) ).
thf(zip_derived_cl65433,plain,
( ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
!= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) ),
inference(demod,[status(thm)],[zip_derived_cl48707,zip_derived_cl65432]) ).
thf(zip_derived_cl65519,plain,
( ( ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) )
!= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ t_a ) @ v_G ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl65433]) ).
thf(conj_5,axiom,
hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ t_a ) @ v_G ) ).
thf(zip_derived_cl3030,plain,
hBOOL @ ( hAPP @ ( c_Finite__Set_Ofinite @ t_a ) @ v_G ),
inference(cnf,[status(esa)],[conj_5]) ).
thf(zip_derived_cl65521,plain,
( ( ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) )
!= ( hAPP @ c_Nat_OSuc @ ( hAPP @ ( c_Finite__Set_Ocard @ t_a ) @ v_G ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ) ),
inference(demod,[status(thm)],[zip_derived_cl65519,zip_derived_cl3030]) ).
thf(zip_derived_cl65522,plain,
hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ),
inference(simplify,[status(thm)],[zip_derived_cl65521]) ).
thf(zip_derived_cl65665,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3029,zip_derived_cl65522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW369+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EEnOTdY8eZ true
% 0.11/0.34 % Computer : n029.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Sun Aug 27 21:03:10 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.17/0.59 % Total configuration time : 435
% 0.17/0.59 % Estimated wc time : 1092
% 0.17/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 243.57/35.84 % Solved by fo/fo3_bce.sh.
% 243.57/35.84 % BCE start: 3032
% 243.57/35.84 % BCE eliminated: 316
% 243.57/35.84 % PE start: 2716
% 243.57/35.84 logic: eq
% 243.57/35.84 % PE eliminated: 29
% 243.57/35.84 % done 4059 iterations in 35.098s
% 243.57/35.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 243.57/35.84 % SZS output start Refutation
% See solution above
% 243.57/35.84
% 243.57/35.84
% 243.57/35.84 % Terminating...
% 244.27/35.93 % Runner terminated.
% 244.27/35.94 % Zipperpin 1.5 exiting
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