TSTP Solution File: ITP111^1 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP111^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n017.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 04:02:10 EDT 2023
% Result : Theorem 0.19s 0.45s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_set_a,type,
set_a: $tType ).
thf(ty_a,type,
a: $tType ).
thf(ty_extended_ereal,type,
extended_ereal: $tType ).
thf(ty_eigen__2,type,
eigen__2: extended_ereal ).
thf(ty_lower_191460856_ereal,type,
lower_191460856_ereal: a > ( a > extended_ereal ) > $o ).
thf(ty_eigen__4,type,
eigen__4: extended_ereal ).
thf(ty_x0,type,
x0: a ).
thf(ty_ord_le2001149050_ereal,type,
ord_le2001149050_ereal: extended_ereal > extended_ereal > $o ).
thf(ty_eigen__3,type,
eigen__3: extended_ereal ).
thf(ty_f,type,
f: a > extended_ereal ).
thf(ty_uminus1208298309_ereal,type,
uminus1208298309_ereal: extended_ereal > extended_ereal ).
thf(ty_member_a,type,
member_a: a > set_a > $o ).
thf(ty_topolo1276428101open_a,type,
topolo1276428101open_a: set_a > $o ).
thf(ty_extend1289208545_ereal,type,
extend1289208545_ereal: extended_ereal ).
thf(ty_eigen__0,type,
eigen__0: extended_ereal ).
thf(sP1,plain,
( sP1
<=> ( lower_191460856_ereal @ x0 @ f ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ( f @ x0 )
= extend1289208545_ereal )
=> ( sP1
= ( ! [X1: extended_ereal] :
( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
=> ~ ! [X2: set_a] :
( ~ ( ( topolo1276428101open_a @ X2 )
=> ~ ( member_a @ x0 @ X2 ) )
=> ~ ! [X3: a] :
( ( member_a @ X3 @ X2 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( f @ x0 )
= extend1289208545_ereal ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( sP1
= ( ! [X1: extended_ereal] :
( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
=> ~ ! [X2: set_a] :
( ~ ( ( topolo1276428101open_a @ X2 )
=> ~ ( member_a @ x0 @ X2 ) )
=> ~ ! [X3: a] :
( ( member_a @ X3 @ X2 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ord_le2001149050_ereal @ eigen__0 @ ( f @ x0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP4
=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: extended_ereal] :
( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
=> ~ ! [X2: set_a] :
( ~ ( ( topolo1276428101open_a @ X2 )
=> ~ ( member_a @ x0 @ X2 ) )
=> ~ ! [X3: a] :
( ( member_a @ X3 @ X2 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ X3 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: set_a] :
( ~ ( ( topolo1276428101open_a @ X1 )
=> ~ ( member_a @ x0 @ X1 ) )
=> ~ ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ eigen__0 @ ( f @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ~ sP3
=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ~ sP4
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( sP6
=> ~ sP9 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(conj_0,conjecture,
( sP1 != ~ sP8 ) ).
thf(h0,negated_conjecture,
( sP1 = ~ sP8 ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h3,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
sP8,
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP12,
introduced(assumption,[]) ).
thf(h6,assumption,
sP6,
introduced(assumption,[]) ).
thf(h7,assumption,
sP9,
introduced(assumption,[]) ).
thf(h8,assumption,
sP4,
introduced(assumption,[]) ).
thf(h9,assumption,
sP10,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP12
| ~ sP6
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP8
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP5
| ~ sP1
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP7
| ~ sP4
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
sP7 ).
thf(5,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h6,h7,h5,h1,h2,h0])],[1,2,3,4,h1,h6,h7,fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,h8]) ).
thf(h10,assumption,
sP3,
introduced(assumption,[]) ).
thf(h11,assumption,
sP5,
introduced(assumption,[]) ).
thf(6,plain,
( ~ sP2
| ~ sP3
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP12
| ~ sP6
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP8
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP5
| ~ sP1
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
sP2 ).
thf(10,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h10,h9,h6,h7,h5,h1,h2,h0])],[6,7,8,9,h1,h6,h7,fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,h10]) ).
thf(h12,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h13,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(11,plain,
( ~ sP12
| ~ sP6
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP8
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h13,h12,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[11,12,h6,h7,h4]) ).
thf(14,plain,
( ~ sP12
| ~ sP6
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP8
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h4,h11,h12,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[14,15,h6,h7,h4]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h2,h11,h12,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h4,h2]) ).
thf(18,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h11,h12,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,16,17,h1,h4,h3,h2]) ).
thf(19,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,13,18,h13,h11]) ).
thf(20,plain,
( ~ sP12
| ~ sP6
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP8
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(22,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h13,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[20,21,h6,h7,h4]) ).
thf(23,plain,
( ~ sP12
| ~ sP6
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP8
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(25,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[23,24,h6,h7,h4]) ).
thf(h14,assumption,
~ ( ( ord_le2001149050_ereal @ eigen__2 @ ( f @ x0 ) )
=> ~ ! [X1: set_a] :
( ~ ( ( topolo1276428101open_a @ X1 )
=> ~ ( member_a @ x0 @ X1 ) )
=> ~ ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ eigen__2 @ ( f @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h15,assumption,
ord_le2001149050_ereal @ eigen__2 @ ( f @ x0 ),
introduced(assumption,[]) ).
thf(h16,assumption,
! [X1: set_a] :
( ~ ( ( topolo1276428101open_a @ X1 )
=> ~ ( member_a @ x0 @ X1 ) )
=> ~ ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ eigen__2 @ ( f @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(26,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h15,h16,h14,h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h14,26,h15,h16]) ).
thf(28,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h14]),tab_negall(eigenvar,eigen__2)],[h2,27,h14]) ).
thf(29,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,25,28,h1,h4,h3,h2]) ).
thf(30,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,22,29,h13,h11]) ).
thf(h17,assumption,
~ ( ( ord_le2001149050_ereal @ eigen__3 @ ( f @ x0 ) )
=> ~ ! [X1: set_a] :
( ~ ( ( topolo1276428101open_a @ X1 )
=> ~ ( member_a @ x0 @ X1 ) )
=> ~ ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ eigen__3 @ ( f @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
ord_le2001149050_ereal @ eigen__3 @ ( f @ x0 ),
introduced(assumption,[]) ).
thf(h19,assumption,
! [X1: set_a] :
( ~ ( ( topolo1276428101open_a @ X1 )
=> ~ ( member_a @ x0 @ X1 ) )
=> ~ ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ eigen__3 @ ( f @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(31,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h18,h19,h17,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3]) ).
thf(32,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h18,h19,h17,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3]) ).
thf(h20,assumption,
~ ( ( ord_le2001149050_ereal @ eigen__4 @ ( f @ x0 ) )
=> ~ ! [X1: set_a] :
( ~ ( ( topolo1276428101open_a @ X1 )
=> ~ ( member_a @ x0 @ X1 ) )
=> ~ ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ eigen__4 @ ( f @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h21,assumption,
ord_le2001149050_ereal @ eigen__4 @ ( f @ x0 ),
introduced(assumption,[]) ).
thf(h22,assumption,
! [X1: set_a] :
( ~ ( ( topolo1276428101open_a @ X1 )
=> ~ ( member_a @ x0 @ X1 ) )
=> ~ ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ eigen__4 @ ( f @ X2 ) ) ) ),
introduced(assumption,[]) ).
thf(33,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h21,h22,h20,h3,h2,h11,h18,h19,h17,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3]) ).
thf(34,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h3,h2,h11,h18,h19,h17,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h20,33,h21,h22]) ).
thf(35,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h18,h19,h17,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h20]),tab_negall(eigenvar,eigen__4)],[h2,34,h20]) ).
thf(36,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h11,h18,h19,h17,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,32,35,h1,h4,h3,h2]) ).
thf(37,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h18,h19,h17,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,31,36,h13,h11]) ).
thf(38,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h18,h19])],[h17,37,h18,h19]) ).
thf(39,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__3)],[h2,38,h17]) ).
thf(40,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,30,39,h1,h4,h3,h2]) ).
thf(41,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,19,40,h12,h11]) ).
thf(42,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3]) ).
thf(43,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,41,42,h1,h4,h3,h2]) ).
thf(44,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h9,10,43,h10,h11]) ).
thf(fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,
sP11 ).
thf(45,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,5,44,h8,h9]) ).
thf(46,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h1,h2,h0]),tab_negimp(discharge,[h6,h7])],[h5,45,h6,h7]) ).
thf(47,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[h2,46,h5]) ).
thf(48,plain,
( ~ sP10
| sP3
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( ~ sP2
| ~ sP3
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( ~ sP5
| sP1
| ~ sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(51,plain,
( ~ sP7
| ~ sP4
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(52,plain,
( ~ sP11
| sP4
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(53,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h3,h4,h0])],[48,49,50,51,52,fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,h4,h3]) ).
thf(54,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h0]),tab_bq(discharge,[h1,h2]),tab_bq(discharge,[h3,h4])],[h0,47,53,h1,h2,h3,h4]) ).
thf(0,theorem,
( sP1 != ~ sP8 ),
inference(contra,[status(thm),contra(discharge,[h0])],[54,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ITP111^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n017.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 10:18:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 % Mode: cade22sinegrackle2x6978
% 0.19/0.45 % Steps: 192
% 0.19/0.45 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------