TSTP Solution File: SYO227^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO227^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n020.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 : Thu Jul 21 19:30:58 EDT 2022
% Result : Theorem 2.04s 2.24s
% Output : Proof 2.04s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $i ).
thf(ty_b,type,
b: $i ).
thf(ty_c_less_,type,
c_less_: $i > $i > $o ).
thf(ty_c,type,
c: $i ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i] :
( ( c_less_ @ b @ X1 )
=> ( b != X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i,X2: $i] :
( ( c_less_ @ X1 @ X2 )
=> ( X1 != X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( b != a )
=> ( b != b ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( b = a )
=> ( a = b ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( c_less_ @ b @ c ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( b = b ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i > $o] :
( ~ ( ~ ( X1 @ a )
=> ~ ( X1 @ b ) )
=> ( X1 @ c ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ~ sP3
=> ( b = c ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( c_less_ @ a @ b ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i] :
( ( c_less_ @ a @ X1 )
=> ( a != X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( sP5
=> ( b != c ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( b = a ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( sP9
=> ( a != b ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i] :
( ( b = X1 )
=> ( X1 = b ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ~ ( sP9
=> ~ sP5 )
=> ~ sP7 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i,X2: $i] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP2
=> sP15 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( a = b ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( sP9
=> ~ sP5 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( b = c ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(cBLEDSOE4_W_AX,conjecture,
sP17 ).
thf(h0,negated_conjecture,
~ sP17,
inference(assume_negation,[status(cth)],[cBLEDSOE4_W_AX]) ).
thf(1,plain,
sP6,
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP3
| sP12
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP8
| sP3
| sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP4
| ~ sP12
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP14
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP7
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP16
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
sP16,
inference(eq_sym,[status(thm)],]) ).
thf(9,plain,
( ~ sP2
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP1
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP11
| ~ sP5
| ~ sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP2
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP10
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP13
| ~ sP9
| ~ sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( sP19
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( sP19
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( sP15
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( sP15
| ~ sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( sP17
| ~ sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( sP17
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,h0]) ).
thf(0,theorem,
sP17,
inference(contra,[status(thm),contra(discharge,[h0])],[21,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO227^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 18:22:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.04/2.24 % SZS status Theorem
% 2.04/2.24 % Mode: mode506
% 2.04/2.24 % Inferences: 77121
% 2.04/2.24 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------