TSTP Solution File: ITP178^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP178^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : Sat May 4 08:07:14 EDT 2024
% Result : Theorem 0.39s 0.61s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 56 ( 24 unt; 24 typ; 0 def)
% Number of atoms : 52 ( 22 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 777 ( 14 ~; 8 |; 12 &; 743 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 0 ^ 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_nat: $tType ).
thf(decl_sort2,type,
set_Pr1986765409at_nat: $tType ).
thf(decl_sort3,type,
set_Pr9961929at_nat: $tType ).
thf(decl_sort4,type,
allegorical_term_b: $tType ).
thf(decl_sort5,type,
labeled_graph_b_nat: $tType ).
thf(decl_sort6,type,
produc1478835367term_b: $tType ).
thf(decl_sort7,type,
produc1235635379_b_nat: $tType ).
thf(decl_22,type,
finite_finite_nat: set_nat > $o ).
thf(decl_26,type,
finite1987068434at_nat: set_Pr9961929at_nat > $o ).
thf(decl_31,type,
allegorical_A_Int_b: allegorical_term_b > allegorical_term_b > allegorical_term_b ).
thf(decl_35,type,
graph_529870330at_nat: labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o ).
thf(decl_40,type,
labeled_edges_b_nat: labeled_graph_b_nat > set_Pr9961929at_nat ).
thf(decl_43,type,
labele460410879_b_nat: labeled_graph_b_nat > set_nat ).
thf(decl_46,type,
restrict_b_nat: labeled_graph_b_nat > labeled_graph_b_nat ).
thf(decl_66,type,
produc1990145943term_b: allegorical_term_b > allegorical_term_b > produc1478835367term_b ).
thf(decl_69,type,
produc951298923_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat ).
thf(decl_76,type,
produc854192515term_b: produc1478835367term_b > allegorical_term_b ).
thf(decl_79,type,
produc1542243159_b_nat: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(decl_82,type,
produc1223098053term_b: produc1478835367term_b > allegorical_term_b ).
thf(decl_85,type,
produc194497945_b_nat: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(decl_96,type,
id_on_nat: set_nat > set_Pr1986765409at_nat ).
thf(decl_118,type,
translation_b: allegorical_term_b > labeled_graph_b_nat ).
thf(decl_163,type,
u: allegorical_term_b ).
thf(decl_164,type,
v: allegorical_term_b ).
thf(conj_0,conjecture,
( ( 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 ) ) ) ) ) ) ) ) )
& ( ( 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 ) ) ) ) ) ) ) )
& ( 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 ) ) ) ) ) ) ) )
& ( 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 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p',conj_0) ).
thf(fact_76_fst__conv,axiom,
! [X164: allegorical_term_b,X165: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X164 @ X165 ) )
= X164 ),
file('/export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p',fact_76_fst__conv) ).
thf(fact_86_snd__conv,axiom,
! [X185: labeled_graph_b_nat,X186: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X185 @ X186 ) )
= X186 ),
file('/export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p',fact_86_snd__conv) ).
thf(fact_20_verts__in__translation__finite_I1_J,axiom,
! [X18: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X18 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p',fact_20_verts__in__translation__finite_I1_J) ).
thf(fact_12_verts__in__translation__finite_I2_J,axiom,
! [X13: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X13 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p',fact_12_verts__in__translation__finite_I2_J) ).
thf(fact_75_fst__conv,axiom,
! [X162: labeled_graph_b_nat,X163: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X162 @ X163 ) )
= X162 ),
file('/export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p',fact_75_fst__conv) ).
thf(fact_85_snd__conv,axiom,
! [X183: allegorical_term_b,X184: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X183 @ X184 ) )
= X184 ),
file('/export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p',fact_85_snd__conv) ).
thf(fact_3_graph__rule__translation,axiom,
! [X5: allegorical_term_b,X6: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p',fact_3_graph__rule__translation) ).
thf(c_0_8,negated_conjecture,
~ ( ( 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 ) ) ) ) ) ) ) ) )
& ( ( 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 ) ) ) ) ) ) ) )
& ( 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 ) ) ) ) ) ) ) )
& ( 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 ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_9,negated_conjecture,
( ~ ( 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 ) ) ) ) ) ) ) ) )
| ( ( 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 ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
thf(c_0_10,plain,
! [X1175: allegorical_term_b,X1176: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X1175 @ X1176 ) )
= X1175 ),
inference(variable_rename,[status(thm)],[fact_76_fst__conv]) ).
thf(c_0_11,plain,
! [X1047: labeled_graph_b_nat,X1048: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X1047 @ X1048 ) )
= X1048 ),
inference(variable_rename,[status(thm)],[fact_86_snd__conv]) ).
thf(c_0_12,plain,
! [X1108: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X1108 ) ) ),
inference(variable_rename,[status(thm)],[fact_20_verts__in__translation__finite_I1_J]) ).
thf(c_0_13,plain,
! [X1043: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X1043 ) ) ),
inference(variable_rename,[status(thm)],[fact_12_verts__in__translation__finite_I2_J]) ).
thf(c_0_14,plain,
! [X1201: labeled_graph_b_nat,X1202: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X1201 @ X1202 ) )
= X1201 ),
inference(variable_rename,[status(thm)],[fact_75_fst__conv]) ).
thf(c_0_15,negated_conjecture,
( ~ ( 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 ) ) ) ) ) ) ) ) )
| ( ( 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 ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) )
| ~ ( 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 ) ) ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_16,plain,
! [X6: allegorical_term_b,X5: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X5 @ X6 ) )
= X5 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_17,plain,
! [X8: labeled_graph_b_nat,X9: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X8 @ X9 ) )
= X9 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_18,plain,
! [X5: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_19,plain,
! [X5: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_20,plain,
! [X9: labeled_graph_b_nat,X8: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X8 @ X9 ) )
= X8 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_21,plain,
! [X1110: allegorical_term_b,X1111: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X1110 @ X1111 ) )
= X1111 ),
inference(variable_rename,[status(thm)],[fact_85_snd__conv]) ).
thf(c_0_22,plain,
! [X1041: allegorical_term_b,X1042: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X1041 ) @ ( translation_b @ ( allegorical_A_Int_b @ X1041 @ X1042 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X1041 ) @ ( translation_b @ ( allegorical_A_Int_b @ X1041 @ X1042 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X1041 ) @ ( translation_b @ ( allegorical_A_Int_b @ X1041 @ X1042 ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X1041 ) @ ( translation_b @ ( allegorical_A_Int_b @ X1041 @ X1042 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X1041 ) @ ( translation_b @ ( allegorical_A_Int_b @ X1041 @ X1042 ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X1041 ) @ ( translation_b @ ( allegorical_A_Int_b @ X1041 @ X1042 ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X1041 ) @ ( translation_b @ ( allegorical_A_Int_b @ X1041 @ X1042 ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[fact_3_graph__rule__translation]) ).
thf(c_0_23,negated_conjecture,
( ( ( restrict_b_nat @ ( translation_b @ ( produc1223098053term_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 @ ( translation_b @ u ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ u ) ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_16]),c_0_17]),c_0_16]),c_0_17]),c_0_18]),c_0_16]),c_0_17]),c_0_19]),c_0_16]),c_0_20]),c_0_16]),c_0_17]),c_0_16]),c_0_20])]) ).
thf(c_0_24,plain,
! [X5: allegorical_term_b,X6: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X5 @ X6 ) )
= X6 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_25,plain,
! [X5: allegorical_term_b,X6: allegorical_term_b] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_26,negated_conjecture,
( ( ( restrict_b_nat @ ( translation_b @ ( allegorical_A_Int_b @ u @ v ) ) )
!= ( translation_b @ ( allegorical_A_Int_b @ u @ v ) ) )
| ~ ( graph_529870330at_nat @ ( translation_b @ u ) @ ( translation_b @ ( allegorical_A_Int_b @ u @ v ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ u ) ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]),c_0_24]) ).
thf(c_0_27,plain,
! [X5: allegorical_term_b,X6: allegorical_term_b] :
( ( restrict_b_nat @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) )
= ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_17]),c_0_17]) ).
thf(c_0_28,plain,
! [X5: allegorical_term_b,X6: allegorical_term_b] : ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_29,negated_conjecture,
~ ( graph_529870330at_nat @ ( translation_b @ u ) @ ( translation_b @ ( allegorical_A_Int_b @ u @ v ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ u ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
thf(c_0_30,plain,
! [X6: allegorical_term_b,X5: allegorical_term_b] : ( graph_529870330at_nat @ ( translation_b @ X5 ) @ ( translation_b @ ( allegorical_A_Int_b @ X5 @ X6 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ X5 ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_20]),c_0_17]),c_0_20]) ).
thf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : ITP178^1 : TPTP v8.1.2. Released v7.5.0.
% 0.16/0.16 % Command : run_E %s %d THM
% 0.17/0.37 % Computer : n028.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Fri May 3 13:08:03 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.39/0.56 Running higher-order theorem proving
% 0.39/0.56 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.eIqHisLFeG/E---3.1_19903.p
% 0.39/0.61 # Version: 3.1.0-ho
% 0.39/0.61 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.39/0.61 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.61 # Starting full_lambda_6 with 1200s (4) cores
% 0.39/0.61 # Starting additional_ho_6 with 300s (1) cores
% 0.39/0.61 # Starting new_ho_9 with 300s (1) cores
% 0.39/0.61 # Starting full_lambda_3 with 300s (1) cores
% 0.39/0.61 # Starting post_as_ho6 with 300s (1) cores
% 0.39/0.61 # full_lambda_3 with pid 19987 completed with status 0
% 0.39/0.61 # Result found by full_lambda_3
% 0.39/0.61 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.39/0.61 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.61 # Starting full_lambda_6 with 1200s (4) cores
% 0.39/0.61 # Starting additional_ho_6 with 300s (1) cores
% 0.39/0.61 # Starting new_ho_9 with 300s (1) cores
% 0.39/0.61 # Starting full_lambda_3 with 300s (1) cores
% 0.39/0.61 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.39/0.61 # Search class: HHHSM-FFMS21-DHFFFSBN
% 0.39/0.61 # partial match(5): HGHSM-FFMS31-SHFSMSBN
% 0.39/0.61 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.61 # Starting new_ho_10 with 163s (1) cores
% 0.39/0.61 # new_ho_10 with pid 19989 completed with status 0
% 0.39/0.61 # Result found by new_ho_10
% 0.39/0.61 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.39/0.61 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.61 # Starting full_lambda_6 with 1200s (4) cores
% 0.39/0.61 # Starting additional_ho_6 with 300s (1) cores
% 0.39/0.61 # Starting new_ho_9 with 300s (1) cores
% 0.39/0.61 # Starting full_lambda_3 with 300s (1) cores
% 0.39/0.61 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.39/0.61 # Search class: HHHSM-FFMS21-DHFFFSBN
% 0.39/0.61 # partial match(5): HGHSM-FFMS31-SHFSMSBN
% 0.39/0.61 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.61 # Starting new_ho_10 with 163s (1) cores
% 0.39/0.61 # Preprocessing time : 0.004 s
% 0.39/0.61 # Presaturation interreduction done
% 0.39/0.61
% 0.39/0.61 # Proof found!
% 0.39/0.61 # SZS status Theorem
% 0.39/0.61 # SZS output start CNFRefutation
% See solution above
% 0.39/0.61 # Parsed axioms : 541
% 0.39/0.61 # Removed by relevancy pruning/SinE : 477
% 0.39/0.61 # Initial clauses : 87
% 0.39/0.61 # Removed in clause preprocessing : 5
% 0.39/0.61 # Initial clauses in saturation : 82
% 0.39/0.61 # Processed clauses : 88
% 0.39/0.61 # ...of these trivial : 16
% 0.39/0.61 # ...subsumed : 11
% 0.39/0.61 # ...remaining for further processing : 61
% 0.39/0.61 # Other redundant clauses eliminated : 14
% 0.39/0.61 # Clauses deleted for lack of memory : 0
% 0.39/0.61 # Backward-subsumed : 0
% 0.39/0.61 # Backward-rewritten : 3
% 0.39/0.61 # Generated clauses : 14
% 0.39/0.61 # ...of the previous two non-redundant : 6
% 0.39/0.61 # ...aggressively subsumed : 0
% 0.39/0.61 # Contextual simplify-reflections : 0
% 0.39/0.61 # Paramodulations : 0
% 0.39/0.61 # Factorizations : 0
% 0.39/0.61 # NegExts : 0
% 0.39/0.61 # Equation resolutions : 14
% 0.39/0.61 # Disequality decompositions : 0
% 0.39/0.61 # Total rewrite steps : 58
% 0.39/0.61 # ...of those cached : 36
% 0.39/0.61 # Propositional unsat checks : 0
% 0.39/0.61 # Propositional check models : 0
% 0.39/0.61 # Propositional check unsatisfiable : 0
% 0.39/0.61 # Propositional clauses : 0
% 0.39/0.61 # Propositional clauses after purity: 0
% 0.39/0.61 # Propositional unsat core size : 0
% 0.39/0.61 # Propositional preprocessing time : 0.000
% 0.39/0.61 # Propositional encoding time : 0.000
% 0.39/0.61 # Propositional solver time : 0.000
% 0.39/0.61 # Success case prop preproc time : 0.000
% 0.39/0.61 # Success case prop encoding time : 0.000
% 0.39/0.61 # Success case prop solver time : 0.000
% 0.39/0.61 # Current number of processed clauses : 44
% 0.39/0.61 # Positive orientable unit clauses : 24
% 0.39/0.61 # Positive unorientable unit clauses: 0
% 0.39/0.61 # Negative unit clauses : 0
% 0.39/0.61 # Non-unit-clauses : 20
% 0.39/0.61 # Current number of unprocessed clauses: 0
% 0.39/0.61 # ...number of literals in the above : 0
% 0.39/0.61 # Current number of archived formulas : 0
% 0.39/0.61 # Current number of archived clauses : 3
% 0.39/0.61 # Clause-clause subsumption calls (NU) : 89
% 0.39/0.61 # Rec. Clause-clause subsumption calls : 57
% 0.39/0.61 # Non-unit clause-clause subsumptions : 15
% 0.39/0.61 # Unit Clause-clause subsumption calls : 6
% 0.39/0.61 # Rewrite failures with RHS unbound : 0
% 0.39/0.61 # BW rewrite match attempts : 3
% 0.39/0.61 # BW rewrite match successes : 3
% 0.39/0.61 # Condensation attempts : 88
% 0.39/0.61 # Condensation successes : 4
% 0.39/0.61 # Termbank termtop insertions : 12541
% 0.39/0.61 # Search garbage collected termcells : 5439
% 0.39/0.61
% 0.39/0.61 # -------------------------------------------------
% 0.39/0.61 # User time : 0.012 s
% 0.39/0.61 # System time : 0.008 s
% 0.39/0.61 # Total time : 0.020 s
% 0.39/0.61 # Maximum resident set size: 3600 pages
% 0.39/0.61
% 0.39/0.61 # -------------------------------------------------
% 0.39/0.61 # User time : 0.030 s
% 0.39/0.61 # System time : 0.011 s
% 0.39/0.61 # Total time : 0.041 s
% 0.39/0.61 # Maximum resident set size: 2988 pages
% 0.39/0.61 % E---3.1 exiting
% 0.39/0.61 % E exiting
%------------------------------------------------------------------------------