TSTP Solution File: ITP178^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP178^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pytpp3p78Y 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 : Thu Aug 31 05:22:41 EDT 2023
% Result : Theorem 1.75s 1.14s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 87 ( 45 unt; 24 typ; 0 def)
% Number of atoms : 104 ( 53 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 879 ( 3 ~; 0 |; 24 &; 835 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 17 usr; 5 con; 0-3 aty)
% ( 17 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 110 ( 17 ^; 93 !; 0 ?; 110 :)
% Comments :
%------------------------------------------------------------------------------
thf(labeled_graph_b_nat_type,type,
labeled_graph_b_nat: $tType ).
thf(produc1235635379_b_nat_type,type,
produc1235635379_b_nat: $tType ).
thf(allegorical_term_b_type,type,
allegorical_term_b: $tType ).
thf(produc1478835367term_b_type,type,
produc1478835367term_b: $tType ).
thf(set_Pr1986765409at_nat_type,type,
set_Pr1986765409at_nat: $tType ).
thf(set_nat_type,type,
set_nat: $tType ).
thf(set_Pr9961929at_nat_type,type,
set_Pr9961929at_nat: $tType ).
thf(graph_529870330at_nat_type,type,
graph_529870330at_nat: labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o ).
thf(labele460410879_b_nat_type,type,
labele460410879_b_nat: labeled_graph_b_nat > set_nat ).
thf(produc951298923_b_nat_type,type,
produc951298923_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat ).
thf(translation_b_type,type,
translation_b: allegorical_term_b > labeled_graph_b_nat ).
thf(id_on_nat_type,type,
id_on_nat: set_nat > set_Pr1986765409at_nat ).
thf(finite_finite_nat_type,type,
finite_finite_nat: set_nat > $o ).
thf(produc1542243159_b_nat_type,type,
produc1542243159_b_nat: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(v_type,type,
v: allegorical_term_b ).
thf(u_type,type,
u: allegorical_term_b ).
thf(restrict_b_nat_type,type,
restrict_b_nat: labeled_graph_b_nat > labeled_graph_b_nat ).
thf(allegorical_A_Int_b_type,type,
allegorical_A_Int_b: allegorical_term_b > allegorical_term_b > allegorical_term_b ).
thf(produc1223098053term_b_type,type,
produc1223098053term_b: produc1478835367term_b > allegorical_term_b ).
thf(produc1990145943term_b_type,type,
produc1990145943term_b: allegorical_term_b > allegorical_term_b > produc1478835367term_b ).
thf(finite1987068434at_nat_type,type,
finite1987068434at_nat: set_Pr9961929at_nat > $o ).
thf(labeled_edges_b_nat_type,type,
labeled_edges_b_nat: labeled_graph_b_nat > set_Pr9961929at_nat ).
thf(produc854192515term_b_type,type,
produc854192515term_b: produc1478835367term_b > allegorical_term_b ).
thf(produc194497945_b_nat_type,type,
produc194497945_b_nat: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(conj_0,conjecture,
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl164,plain,
~ ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_76_fst__conv,axiom,
! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X1 ) ).
thf(zip_derived_cl33,plain,
( !!
@ ^ [Y0: allegorical_term_b] :
( !!
@ ^ [Y1: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ Y0 @ Y1 ) )
= Y0 ) ) ),
inference(cnf,[status(esa)],[fact_76_fst__conv]) ).
thf(zip_derived_cl224,plain,
! [X2: allegorical_term_b] :
( !!
@ ^ [Y0: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ Y0 ) )
= X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl225,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl224]) ).
thf(zip_derived_cl226,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl225]) ).
thf(fact_85_snd__conv,axiom,
! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X22 ) ).
thf(zip_derived_cl36,plain,
( !!
@ ^ [Y0: allegorical_term_b] :
( !!
@ ^ [Y1: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ Y0 @ Y1 ) )
= Y1 ) ) ),
inference(cnf,[status(esa)],[fact_85_snd__conv]) ).
thf(zip_derived_cl229,plain,
! [X2: allegorical_term_b] :
( !!
@ ^ [Y0: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ Y0 ) )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl230,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl229]) ).
thf(zip_derived_cl231,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl230]) ).
thf(fact_86_snd__conv,axiom,
! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X22 ) ).
thf(zip_derived_cl37,plain,
( !!
@ ^ [Y0: labeled_graph_b_nat] :
( !!
@ ^ [Y1: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ Y0 @ Y1 ) )
= Y1 ) ) ),
inference(cnf,[status(esa)],[fact_86_snd__conv]) ).
thf(zip_derived_cl232,plain,
! [X2: labeled_graph_b_nat] :
( !!
@ ^ [Y0: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ Y0 ) )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl233,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl232]) ).
thf(zip_derived_cl234,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl233]) ).
thf(fact_12_verts__in__translation__finite_I2_J,axiom,
! [X: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_12_verts__in__translation__finite_I2_J]) ).
thf(zip_derived_cl165,plain,
! [X2: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl226_001,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl231_002,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl234_003,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl233]) ).
thf(fact_20_verts__in__translation__finite_I1_J,axiom,
! [X: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_20_verts__in__translation__finite_I1_J]) ).
thf(zip_derived_cl166,plain,
! [X2: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl226_004,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl231_005,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl234_006,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl233]) ).
thf(zip_derived_cl226_007,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl231_008,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl234_009,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl233]) ).
thf(fact_3_graph__rule__translation,axiom,
! [X: allegorical_term_b,Y: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: allegorical_term_b] :
( !!
@ ^ [Y1: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ Y0 ) @ ( translation_b @ ( allegorical_A_Int_b @ Y0 @ Y1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ Y0 ) @ ( translation_b @ ( allegorical_A_Int_b @ Y0 @ Y1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ Y0 ) @ ( translation_b @ ( allegorical_A_Int_b @ Y0 @ Y1 ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ Y0 ) @ ( translation_b @ ( allegorical_A_Int_b @ Y0 @ Y1 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ Y0 ) @ ( translation_b @ ( allegorical_A_Int_b @ Y0 @ Y1 ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ Y0 ) @ ( translation_b @ ( allegorical_A_Int_b @ Y0 @ Y1 ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ Y0 ) @ ( translation_b @ ( allegorical_A_Int_b @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_3_graph__rule__translation]) ).
thf(zip_derived_cl174,plain,
! [X2: allegorical_term_b] :
( !!
@ ^ [Y0: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ Y0 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ Y0 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ Y0 ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ Y0 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ Y0 ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ Y0 ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl175,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl174]) ).
thf(zip_derived_cl177,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl180,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl234_010,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl233]) ).
thf(zip_derived_cl234_011,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl233]) ).
thf(zip_derived_cl246,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) )
= ( restrict_b_nat @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl234,zip_derived_cl234]) ).
thf(zip_derived_cl226_012,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl231_013,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl230]) ).
thf(fact_75_fst__conv,axiom,
! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X1 ) ).
thf(zip_derived_cl32,plain,
( !!
@ ^ [Y0: labeled_graph_b_nat] :
( !!
@ ^ [Y1: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ Y0 @ Y1 ) )
= Y0 ) ) ),
inference(cnf,[status(esa)],[fact_75_fst__conv]) ).
thf(zip_derived_cl216,plain,
! [X2: labeled_graph_b_nat] :
( !!
@ ^ [Y0: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X2 @ Y0 ) )
= X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl217,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl218,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl226_014,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl231_015,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl234_016,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl233]) ).
thf(zip_derived_cl226_017,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl225]) ).
thf(zip_derived_cl231_018,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl218_019,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl176,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] : ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl218_020,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl218_021,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl219,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] : ( graph_529870330at_nat @ ( translation_b @ X2 ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ X2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl218,zip_derived_cl218]) ).
thf(zip_derived_cl234_022,plain,
! [X2: labeled_graph_b_nat,X4: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl233]) ).
thf(zip_derived_cl237,plain,
! [X2: allegorical_term_b,X4: allegorical_term_b] : ( graph_529870330at_nat @ ( translation_b @ X2 ) @ ( translation_b @ ( allegorical_A_Int_b @ X2 @ X4 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ X2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl234]) ).
thf(zip_derived_cl736,plain,
~ ( $true
& $true
& ( ( translation_b @ ( allegorical_A_Int_b @ u @ v ) )
= ( translation_b @ ( allegorical_A_Int_b @ u @ v ) ) )
& $true ),
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl226,zip_derived_cl231,zip_derived_cl234,zip_derived_cl165,zip_derived_cl226,zip_derived_cl231,zip_derived_cl234,zip_derived_cl166,zip_derived_cl226,zip_derived_cl231,zip_derived_cl234,zip_derived_cl226,zip_derived_cl231,zip_derived_cl234,zip_derived_cl246,zip_derived_cl226,zip_derived_cl231,zip_derived_cl218,zip_derived_cl226,zip_derived_cl231,zip_derived_cl234,zip_derived_cl226,zip_derived_cl231,zip_derived_cl218,zip_derived_cl237]) ).
thf(zip_derived_cl737,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl736]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP178^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pytpp3p78Y true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 16:30:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.63 % Total configuration time : 828
% 0.20/0.63 % Estimated wc time : 1656
% 0.20/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.83 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.75/1.14 % Solved by lams/30_b.l.sh.
% 1.75/1.14 % done 0 iterations in 0.246s
% 1.75/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.75/1.14 % SZS output start Refutation
% See solution above
% 1.75/1.14
% 1.75/1.14
% 1.75/1.14 % Terminating...
% 2.15/1.27 % Runner terminated.
% 2.15/1.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------