%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP042^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n002.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 Oct 9 01:46:47 PM UTC 2025
% Result : Theorem 2.16s 2.38s
% Output : Proof 2.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_denota723907260t_unit,type,
denota723907260t_unit: $tType ).
thf(ty_a,type,
a: $tType ).
thf(ty_sum_su1965225555um_c_b,type,
sum_su1965225555um_c_b: $tType ).
thf(ty_set_Su111624115um_c_b,type,
set_Su111624115um_c_b: $tType ).
thf(ty_set_Sum_sum_b_b,type,
set_Sum_sum_b_b: $tType ).
thf(ty_trm_a_b,type,
trm_a_b: $tType ).
thf(ty_finite1390225514real_b,type,
finite1390225514real_b: $tType ).
thf(ty_real,type,
real: $tType ).
thf(ty_set_a,type,
set_a: $tType ).
thf(ty_produc133005365real_b,type,
produc133005365real_b: $tType ).
thf(ty_member_a,type,
member_a: a > set_a > $o ).
thf(ty_denota896875430_a_c_b,type,
denota896875430_a_c_b: denota723907260t_unit > denota723907260t_unit > set_Su111624115um_c_b > $o ).
thf(ty_static_FVT_a_b,type,
static_FVT_a_b: trm_a_b > set_Sum_sum_b_b ).
thf(ty_static_SIGT_a_b,type,
static_SIGT_a_b: trm_a_b > set_a ).
thf(ty_eigen__0,type,
eigen__0: a ).
thf(ty_nu2,type,
nu2: produc133005365real_b ).
thf(ty_j,type,
j: denota723907260t_unit ).
thf(ty_collec1166375742um_c_b,type,
collec1166375742um_c_b: ( sum_su1965225555um_c_b > $o ) > set_Su111624115um_c_b ).
thf(ty_theta_2,type,
theta_2: trm_a_b ).
thf(ty_i,type,
i: denota723907260t_unit ).
thf(ty_top_top_set_a,type,
top_top_set_a: set_a ).
thf(ty_sum_In811702836um_c_b,type,
sum_In811702836um_c_b: a > sum_su1965225555um_c_b ).
thf(ty_produc936751193real_b,type,
produc936751193real_b: produc133005365real_b > finite1390225514real_b ).
thf(ty_times_a_b,type,
times_a_b: trm_a_b > trm_a_b > trm_a_b ).
thf(ty_nu,type,
nu: produc133005365real_b ).
thf(ty_theta_1,type,
theta_1: trm_a_b ).
thf(ty_denota1997846517gree_b,type,
denota1997846517gree_b: produc133005365real_b > produc133005365real_b > set_Sum_sum_b_b > $o ).
thf(ty_denota722380397_a_c_b,type,
denota722380397_a_c_b: denota723907260t_unit > trm_a_b > finite1390225514real_b > real ).
thf(sP1,plain,
( sP1
<=> ! [X1: denota723907260t_unit,X2: denota723907260t_unit] :
( ( denota896875430_a_c_b @ X1 @ X2
@ ( collec1166375742um_c_b
@ ^ [X3: sum_su1965225555um_c_b] :
~ ! [X4: a] :
( ( X3
= ( sum_In811702836um_c_b @ X4 ) )
=> ~ ( member_a @ X4 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ X1 @ X2
@ ( collec1166375742um_c_b
@ ^ [X3: sum_su1965225555um_c_b] :
~ ! [X4: a] :
( ( X3
= ( sum_In811702836um_c_b @ X4 ) )
=> ~ ( member_a @ X4 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: denota723907260t_unit] :
( ( denota896875430_a_c_b @ i @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
~ ! [X3: a] :
( ( X2
= ( sum_In811702836um_c_b @ X3 ) )
=> ~ ( member_a @ X3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ i @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
~ ! [X3: a] :
( ( X2
= ( sum_In811702836um_c_b @ X3 ) )
=> ~ ( member_a @ X3 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X1: sum_su1965225555um_c_b] :
~ ! [X2: a] :
( ( X1
= ( sum_In811702836um_c_b @ X2 ) )
=> ~ ( member_a @ X2 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X1: sum_su1965225555um_c_b] :
~ ! [X2: a] :
( ( X1
= ( sum_In811702836um_c_b @ X2 ) )
=> ~ ( member_a @ X2 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X1: sum_su1965225555um_c_b] :
~ ! [X2: a] :
( ( X1
= ( sum_In811702836um_c_b @ X2 ) )
=> ~ ( member_a @ X2 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: denota723907260t_unit] :
( ( denota896875430_a_c_b @ i @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
~ ! [X3: a] :
( ( X2
= ( sum_In811702836um_c_b @ X3 ) )
=> ~ ( member_a @ X3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ i @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
~ ! [X3: a] :
( ( X2
= ( sum_In811702836um_c_b @ X3 ) )
=> ~ ( member_a @ X3 @ ( static_SIGT_a_b @ theta_2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X1: sum_su1965225555um_c_b] :
~ ! [X2: a] :
( ( X1
= ( sum_In811702836um_c_b @ X2 ) )
=> ~ ( member_a @ X2 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> sP4 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X1: sum_su1965225555um_c_b] :
~ ! [X2: a] :
( ( X1
= ( sum_In811702836um_c_b @ X2 ) )
=> ~ ( member_a @ X2 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: denota723907260t_unit,X2: denota723907260t_unit] :
( ( denota896875430_a_c_b @ X1 @ X2
@ ( collec1166375742um_c_b
@ ^ [X3: sum_su1965225555um_c_b] :
~ ! [X4: a] :
( ( X3
= ( sum_In811702836um_c_b @ X4 ) )
=> ~ ( member_a @ X4 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ X1 @ X2
@ ( collec1166375742um_c_b
@ ^ [X3: sum_su1965225555um_c_b] :
~ ! [X4: a] :
( ( X3
= ( sum_In811702836um_c_b @ X4 ) )
=> ~ ( member_a @ X4 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( denota1997846517gree_b @ nu @ nu2 @ ( static_FVT_a_b @ theta_1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X1: sum_su1965225555um_c_b] :
~ ! [X2: a] :
( ( X1
= ( sum_In811702836um_c_b @ X2 ) )
=> ~ ( member_a @ X2 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(conj_0,conjecture,
sP7 ).
thf(h0,negated_conjecture,
~ sP7,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
member_a @ eigen__0 @ top_top_set_a,
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( denota1997846517gree_b @ nu @ nu2 @ ( static_FVT_a_b @ theta_2 ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
( sP4
=> ( ( denota722380397_a_c_b @ i @ theta_2 @ ( produc936751193real_b @ nu ) )
= ( denota722380397_a_c_b @ j @ theta_2 @ ( produc936751193real_b @ nu2 ) ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP9,
introduced(assumption,[]) ).
thf(h5,assumption,
( sP7
=> ( ( denota722380397_a_c_b @ i @ theta_1 @ ( produc936751193real_b @ nu ) )
= ( denota722380397_a_c_b @ j @ theta_1 @ ( produc936751193real_b @ nu2 ) ) ) ),
introduced(assumption,[]) ).
thf(fact_21_VAs_I1_J,axiom,
sP9 ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h4,h2,h1,h0])],[fact_21_VAs_I1_J,h4]) ).
thf(h6,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(h7,assumption,
( ( denota722380397_a_c_b @ i @ theta_1 @ ( produc936751193real_b @ nu ) )
= ( denota722380397_a_c_b @ j @ theta_1 @ ( produc936751193real_b @ nu2 ) ) ),
introduced(assumption,[]) ).
thf(2,plain,
( ~ sP8
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP2
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP3
| ~ sP10
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(fact_3_dfree__Times_Oprems_I2_J,axiom,
sP10 ).
thf(fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062,axiom,
sP8 ).
thf(5,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h6,h5,h2,h1,h0])],[2,3,4,h6,fact_3_dfree__Times_Oprems_I2_J,fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062]) ).
thf(6,plain,
( ~ sP8
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP2
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP3
| ~ sP10
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(9,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h5,h2,h1,h0])],[6,7,8,h0,fact_3_dfree__Times_Oprems_I2_J,fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062]) ).
thf(10,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h2,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[h5,5,9,h6,h7]) ).
thf(fact_12_IH1,axiom,
( sP9
=> ( sP7
=> ( ( denota722380397_a_c_b @ i @ theta_1 @ ( produc936751193real_b @ nu ) )
= ( denota722380397_a_c_b @ j @ theta_1 @ ( produc936751193real_b @ nu2 ) ) ) ) ) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h1,h0]),tab_imp(discharge,[h4]),tab_imp(discharge,[h5])],[fact_12_IH1,1,10,h4,h5]) ).
thf(h8,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h9,assumption,
( ( denota722380397_a_c_b @ i @ theta_2 @ ( produc936751193real_b @ nu ) )
= ( denota722380397_a_c_b @ j @ theta_2 @ ( produc936751193real_b @ nu2 ) ) ),
introduced(assumption,[]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h4,h8,h3,h1,h0])],[fact_21_VAs_I1_J,h4]) ).
thf(13,plain,
( ~ sP1
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP5
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(15,plain,
( ~ sP6
| ~ sP10
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(fact_1__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0622_125_092_060close_062,axiom,
sP1 ).
thf(16,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h6,h5,h8,h3,h1,h0])],[13,14,15,h8,fact_3_dfree__Times_Oprems_I2_J,fact_1__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0622_125_092_060close_062]) ).
thf(17,plain,
( ~ sP1
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(18,plain,
( ~ sP5
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(19,plain,
( ~ sP6
| ~ sP10
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h5,h8,h3,h1,h0])],[17,18,19,h8,fact_3_dfree__Times_Oprems_I2_J,fact_1__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0622_125_092_060close_062]) ).
thf(21,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h8,h3,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[h5,16,20,h6,h7]) ).
thf(22,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h3,h1,h0]),tab_imp(discharge,[h4]),tab_imp(discharge,[h5])],[fact_12_IH1,12,21,h4,h5]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h4,h9,h3,h1,h0])],[fact_21_VAs_I1_J,h4]) ).
thf(24,plain,
( ~ sP8
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(25,plain,
( ~ sP2
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(26,plain,
( ~ sP3
| ~ sP10
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(27,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h6,h5,h9,h3,h1,h0])],[24,25,26,h6,fact_3_dfree__Times_Oprems_I2_J,fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062]) ).
thf(28,plain,
( ~ sP8
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(29,plain,
( ~ sP2
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(30,plain,
( ~ sP3
| ~ sP10
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(31,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h5,h9,h3,h1,h0])],[28,29,30,h0,fact_3_dfree__Times_Oprems_I2_J,fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062]) ).
thf(32,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h9,h3,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[h5,27,31,h6,h7]) ).
thf(33,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h3,h1,h0]),tab_imp(discharge,[h4]),tab_imp(discharge,[h5])],[fact_12_IH1,23,32,h4,h5]) ).
thf(34,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h3,22,33,h8,h9]) ).
thf(fact_13_IH2,axiom,
( ( denota1997846517gree_b @ nu @ nu2 @ ( static_FVT_a_b @ theta_2 ) )
=> ( sP4
=> ( ( denota722380397_a_c_b @ i @ theta_2 @ ( produc936751193real_b @ nu ) )
= ( denota722380397_a_c_b @ j @ theta_2 @ ( produc936751193real_b @ nu2 ) ) ) ) ) ).
thf(35,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h3])],[fact_13_IH2,11,34,h2,h3]) ).
thf(fact_336_UNIV__witness,axiom,
~ ! [X1: a] :
~ ( member_a @ X1 @ top_top_set_a ) ).
thf(36,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_336_UNIV__witness,35,h1]) ).
thf(0,theorem,
sP7,
inference(contra,[status(thm),contra(discharge,[h0])],[36,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : ITP042^1 : TPTP v9.2.0. Released v7.5.0.
% 0.14/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 8 17:51:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 2.16/2.38 % SZS status Theorem
% 2.16/2.38 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 2.16/2.38 % Inferences: 262
% 2.16/2.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------