TSTP Solution File: ITP029^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP029^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n024.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 : 600s
% DateTime : Sun Jul 17 00:28:49 EDT 2022
% Result : Theorem 31.76s 32.04s
% Output : Proof 31.76s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_binary1439146945Tree_a,type,
binary1439146945Tree_a: $tType ).
thf(ty_int,type,
int: $tType ).
thf(ty_set_a,type,
set_a: $tType ).
thf(ty_h,type,
h: a > int ).
thf(ty_member_a,type,
member_a: a > set_a > $o ).
thf(ty_a2,type,
a2: a ).
thf(ty_b,type,
b: a ).
thf(ty_t2,type,
t2: binary1439146945Tree_a ).
thf(ty_t1,type,
t1: binary1439146945Tree_a ).
thf(ty_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(ty_binary945792244etOf_a,type,
binary945792244etOf_a: binary1439146945Tree_a > set_a ).
thf(ty_x,type,
x: a ).
thf(sP1,plain,
( sP1
<=> ( ord_less_int @ ( h @ b ) @ ( h @ a2 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( a2 = b ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( member_a @ a2 @ ( binary945792244etOf_a @ t1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: int] :
( ( ord_less_int @ ( h @ b ) @ X1 )
=> ( X1
!= ( h @ b ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( a2 = x ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( h @ a2 )
= ( h @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: int,X2: int] :
( ( ord_less_int @ X1 @ X2 )
=> ( X2 != X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( sP1
=> ~ sP6 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(conj_0,conjecture,
sP2 ).
thf(h0,negated_conjecture,
~ sP2,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
( ~ sP3
=> sP5 ),
introduced(assumption,[]) ).
thf(h2,assumption,
member_a @ a2 @ ( binary945792244etOf_a @ t2 ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP3,
introduced(assumption,[]) ).
thf(h4,assumption,
sP5,
introduced(assumption,[]) ).
thf(h5,assumption,
( ~ ( member_a @ b @ ( binary945792244etOf_a @ t1 ) )
=> ( b = x ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
member_a @ b @ ( binary945792244etOf_a @ t2 ),
introduced(assumption,[]) ).
thf(h7,assumption,
member_a @ b @ ( binary945792244etOf_a @ t1 ),
introduced(assumption,[]) ).
thf(h8,assumption,
b = x,
introduced(assumption,[]) ).
thf(h9,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h10,assumption,
sP2,
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h9,h7,h5,h3,h1,h0])],[h3,h9]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h7,h5,h3,h1,h0])],[h3,h9]) ).
thf(fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,axiom,
( sP5
=> sP2 ) ).
thf(3,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h5,h3,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,1,2,h11,h10]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h7,h5,h3,h1,h0])],[h10,h0]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h7,h5,h3,h1,h0])],[h10,h0]) ).
thf(6,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h7,h5,h3,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,4,5,h11,h10]) ).
thf(fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,axiom,
( sP3
=> sP2 ) ).
thf(7,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h5,h3,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,3,6,h9,h10]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h9,h8,h5,h3,h1,h0])],[h3,h9]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h8,h5,h3,h1,h0])],[h3,h9]) ).
thf(10,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h8,h5,h3,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,8,9,h11,h10]) ).
thf(11,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h8,h5,h3,h1,h0])],[h10,h0]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h8,h5,h3,h1,h0])],[h10,h0]) ).
thf(13,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h8,h5,h3,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,11,12,h11,h10]) ).
thf(14,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h5,h3,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,10,13,h9,h10]) ).
thf(15,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h3,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h5,7,14,h7,h8]) ).
thf(16,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h9,h6,h3,h1,h0])],[h3,h9]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h6,h3,h1,h0])],[h3,h9]) ).
thf(18,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h6,h3,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,16,17,h11,h10]) ).
thf(19,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h6,h3,h1,h0])],[h10,h0]) ).
thf(20,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h6,h3,h1,h0])],[h10,h0]) ).
thf(21,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h6,h3,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,19,20,h11,h10]) ).
thf(22,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h3,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,18,21,h9,h10]) ).
thf(fact_11_calculation,axiom,
( ~ ( ~ ( member_a @ b @ ( binary945792244etOf_a @ t1 ) )
=> ( b = x ) )
=> ( member_a @ b @ ( binary945792244etOf_a @ t2 ) ) ) ).
thf(23,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_11_calculation,15,22,h5,h6]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h9,h7,h5,h4,h1,h0])],[h4,h11]) ).
thf(25,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h7,h5,h4,h1,h0])],[h10,h0]) ).
thf(26,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h5,h4,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,24,25,h11,h10]) ).
thf(27,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h7,h5,h4,h1,h0])],[h4,h11]) ).
thf(28,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h7,h5,h4,h1,h0])],[h10,h0]) ).
thf(29,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h7,h5,h4,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,27,28,h11,h10]) ).
thf(30,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h5,h4,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,26,29,h9,h10]) ).
thf(31,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h9,h8,h5,h4,h1,h0])],[h4,h11]) ).
thf(32,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h8,h5,h4,h1,h0])],[h10,h0]) ).
thf(33,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h8,h5,h4,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,31,32,h11,h10]) ).
thf(34,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h8,h5,h4,h1,h0])],[h4,h11]) ).
thf(35,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h8,h5,h4,h1,h0])],[h10,h0]) ).
thf(36,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h8,h5,h4,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,34,35,h11,h10]) ).
thf(37,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h5,h4,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,33,36,h9,h10]) ).
thf(38,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h4,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h5,30,37,h7,h8]) ).
thf(39,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h9,h6,h4,h1,h0])],[h4,h11]) ).
thf(40,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h6,h4,h1,h0])],[h10,h0]) ).
thf(41,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h6,h4,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,39,40,h11,h10]) ).
thf(42,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h6,h4,h1,h0])],[h4,h11]) ).
thf(43,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h6,h4,h1,h0])],[h10,h0]) ).
thf(44,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h6,h4,h1,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,42,43,h11,h10]) ).
thf(45,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h4,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,41,44,h9,h10]) ).
thf(46,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h4,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_11_calculation,38,45,h5,h6]) ).
thf(47,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,23,46,h3,h4]) ).
thf(48,plain,
( ~ sP4
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(49,plain,
( ~ sP8
| ~ sP1
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( ~ sP7
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(fact_44_dual__order_Ostrict__implies__not__eq,axiom,
sP7 ).
thf(fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062,axiom,
sP1 ).
thf(fact_0_hahb,axiom,
sP6 ).
thf(51,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h9,h7,h5,h2,h0])],[48,49,50,fact_44_dual__order_Ostrict__implies__not__eq,fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062,fact_0_hahb]) ).
thf(52,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h7,h5,h2,h0])],[h10,h0]) ).
thf(53,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h5,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,51,52,h11,h10]) ).
thf(54,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h7,h5,h2,h0])],[h10,h0]) ).
thf(55,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h7,h5,h2,h0])],[h10,h0]) ).
thf(56,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h7,h5,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,54,55,h11,h10]) ).
thf(57,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h5,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,53,56,h9,h10]) ).
thf(58,plain,
( ~ sP7
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(59,plain,
( ~ sP4
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(60,plain,
( ~ sP8
| ~ sP1
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(61,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h9,h8,h5,h2,h0])],[58,59,60,fact_44_dual__order_Ostrict__implies__not__eq,fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062,fact_0_hahb]) ).
thf(62,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h8,h5,h2,h0])],[h10,h0]) ).
thf(63,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h8,h5,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,61,62,h11,h10]) ).
thf(64,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h8,h5,h2,h0])],[h10,h0]) ).
thf(65,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h8,h5,h2,h0])],[h10,h0]) ).
thf(66,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h8,h5,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,64,65,h11,h10]) ).
thf(67,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h5,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,63,66,h9,h10]) ).
thf(68,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h5,57,67,h7,h8]) ).
thf(69,plain,
( ~ sP7
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(70,plain,
( ~ sP4
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(71,plain,
( ~ sP8
| ~ sP1
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(72,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h9,h6,h2,h0])],[69,70,71,fact_44_dual__order_Ostrict__implies__not__eq,fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062,fact_0_hahb]) ).
thf(73,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h6,h2,h0])],[h10,h0]) ).
thf(74,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h6,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,72,73,h11,h10]) ).
thf(75,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h6,h2,h0])],[h10,h0]) ).
thf(76,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h10,h6,h2,h0])],[h10,h0]) ).
thf(77,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h6,h2,h0]),tab_imp(discharge,[h11]),tab_imp(discharge,[h10])],[fact_2__092_060open_062a_A_061_Ax_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,75,76,h11,h10]) ).
thf(78,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_5__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060Longrightarrow_062_Aa_A_061_Ab_092_060close_062,74,77,h9,h10]) ).
thf(79,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_11_calculation,68,78,h5,h6]) ).
thf(fact_12__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060or_062_Aa_A_061_Ax_A_092_060or_062_Aa_A_092_060in_062_AsetOf_At2_092_060close_062,axiom,
( ~ ( ~ sP3
=> sP5 )
=> ( member_a @ a2 @ ( binary945792244etOf_a @ t2 ) ) ) ).
thf(80,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[fact_12__092_060open_062a_A_092_060in_062_AsetOf_At1_A_092_060or_062_Aa_A_061_Ax_A_092_060or_062_Aa_A_092_060in_062_AsetOf_At2_092_060close_062,47,79,h1,h2]) ).
thf(0,theorem,
sP2,
inference(contra,[status(thm),contra(discharge,[h0])],[80,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ITP029^1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 12:39:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 31.76/32.04 % SZS status Theorem
% 31.76/32.04 % Mode: mode94:USE_SINE=true:SINE_TOLERANCE=2.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=2.:SINE_DEPTH=0
% 31.76/32.04 % Inferences: 212
% 31.76/32.04 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------