TSTP Solution File: SYO885^1.010.010 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO885^1.010.010 : 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 : n003.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 19:35:09 EDT 2022
% Result : Theorem 38.76s 38.62s
% Output : Proof 38.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 1364 ( 60 equ; 0 cnn)
% Maximal formula atoms : 11 ( 97 avg)
% Number of connectives : 1356 ( 96 ~; 23 |; 0 &;1200 @)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 25 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(goal,conjecture,
~ ! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
=> ( ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 ) ) )
=> ( ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) ) )
=> ( ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 )
!= ( f @ a9 @ a2 @ a6 @ a4 @ a3 @ a8 @ a5 @ a1 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 ) ) )
=> ( ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 )
!= ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 ) ) )
=> ( ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
!= ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) ) ) ).
thf(h0,negated_conjecture,
! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
=> ( ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 ) ) )
=> ( ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) ) )
=> ( ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 )
!= ( f @ a9 @ a2 @ a6 @ a4 @ a3 @ a8 @ a5 @ a1 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 ) ) )
=> ( ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 )
!= ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 ) ) )
=> ( ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
!= ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) ) ),
inference(assume_negation,[status(cth)],[goal]) ).
thf(pax918,axiom,
( p918
=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa7 @ fa2 @ fa3 @ fa8 @ fa8 @ fa1 )
= ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa7 @ fa2 @ fa3 @ fa8 @ fa8 @ fa1 ) )
=> ( ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa6 @ fa3 @ fa4 @ fa1 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa6 @ fa3 @ fa4 @ fa1 @ fa8 @ fa1 ) ) )
=> ( ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa0 @ fa4 @ fa8 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa0 @ fa4 @ fa8 @ fa2 @ fa8 @ fa1 ) ) )
=> ( ( ff @ fa9 @ fa2 @ fa6 @ fa4 @ fa3 @ fa8 @ fa5 @ fa1 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa2 @ fa6 @ fa4 @ fa3 @ fa8 @ fa5 @ fa1 @ fa8 @ fa1 ) ) )
=> ( ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa4 @ fa6 @ fa3 @ fa9 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa4 @ fa6 @ fa3 @ fa9 @ fa8 @ fa1 ) ) )
=> ( ( ff @ fa9 @ fa3 @ fa6 @ fa4 @ fa2 @ fa7 @ fa0 @ fa9 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa3 @ fa6 @ fa4 @ fa2 @ fa7 @ fa0 @ fa9 @ fa8 @ fa1 ) ) )
=> ( ( ff @ fa9 @ fa9 @ fa6 @ fa4 @ fa8 @ fa6 @ fa7 @ fa5 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa9 @ fa6 @ fa4 @ fa8 @ fa6 @ fa7 @ fa5 @ fa8 @ fa1 ) ) )
=> ( ( ff @ fa9 @ fa6 @ fa6 @ fa4 @ fa3 @ fa8 @ fa0 @ fa5 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa6 @ fa6 @ fa4 @ fa3 @ fa8 @ fa0 @ fa5 @ fa8 @ fa1 ) ) )
=> ( ( ff @ fa9 @ fa8 @ fa6 @ fa4 @ fa3 @ fa6 @ fa5 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa8 @ fa6 @ fa4 @ fa3 @ fa6 @ fa5 @ fa2 @ fa8 @ fa1 ) ) )
=> ( ( ff @ fa9 @ fa0 @ fa6 @ fa4 @ fa7 @ fa6 @ fa9 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa0 @ fa6 @ fa4 @ fa7 @ fa6 @ fa9 @ fa2 @ fa8 @ fa1 ) ) ) ),
file('<stdin>',pax918) ).
thf(ax81,axiom,
( ~ p1
| p918 ),
file('<stdin>',ax81) ).
thf(ax998,axiom,
p1,
file('<stdin>',ax998) ).
thf(c_0_3,plain,
( ~ p918
| ( ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa7 @ fa2 @ fa3 @ fa8 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa7 @ fa2 @ fa3 @ fa8 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa6 @ fa3 @ fa4 @ fa1 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa6 @ fa3 @ fa4 @ fa1 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa0 @ fa4 @ fa8 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa0 @ fa4 @ fa8 @ fa2 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa2 @ fa6 @ fa4 @ fa3 @ fa8 @ fa5 @ fa1 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa2 @ fa6 @ fa4 @ fa3 @ fa8 @ fa5 @ fa1 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa4 @ fa6 @ fa3 @ fa9 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa4 @ fa6 @ fa3 @ fa9 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa3 @ fa6 @ fa4 @ fa2 @ fa7 @ fa0 @ fa9 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa3 @ fa6 @ fa4 @ fa2 @ fa7 @ fa0 @ fa9 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa9 @ fa6 @ fa4 @ fa8 @ fa6 @ fa7 @ fa5 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa9 @ fa6 @ fa4 @ fa8 @ fa6 @ fa7 @ fa5 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa6 @ fa6 @ fa4 @ fa3 @ fa8 @ fa0 @ fa5 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa6 @ fa6 @ fa4 @ fa3 @ fa8 @ fa0 @ fa5 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa8 @ fa6 @ fa4 @ fa3 @ fa6 @ fa5 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa8 @ fa6 @ fa4 @ fa3 @ fa6 @ fa5 @ fa2 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa0 @ fa6 @ fa4 @ fa7 @ fa6 @ fa9 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa0 @ fa6 @ fa4 @ fa7 @ fa6 @ fa9 @ fa2 @ fa8 @ fa1 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax918])]) ).
thf(c_0_4,plain,
( ~ p1
| p918 ),
inference(fof_simplification,[status(thm)],[ax81]) ).
thf(c_0_5,plain,
( ~ p918
| ( ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa7 @ fa2 @ fa3 @ fa8 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa7 @ fa2 @ fa3 @ fa8 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa6 @ fa3 @ fa4 @ fa1 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa6 @ fa3 @ fa4 @ fa1 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa0 @ fa4 @ fa8 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa5 @ fa6 @ fa4 @ fa0 @ fa4 @ fa8 @ fa2 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa2 @ fa6 @ fa4 @ fa3 @ fa8 @ fa5 @ fa1 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa2 @ fa6 @ fa4 @ fa3 @ fa8 @ fa5 @ fa1 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa4 @ fa6 @ fa3 @ fa9 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa7 @ fa6 @ fa4 @ fa4 @ fa6 @ fa3 @ fa9 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa3 @ fa6 @ fa4 @ fa2 @ fa7 @ fa0 @ fa9 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa3 @ fa6 @ fa4 @ fa2 @ fa7 @ fa0 @ fa9 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa9 @ fa6 @ fa4 @ fa8 @ fa6 @ fa7 @ fa5 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa9 @ fa6 @ fa4 @ fa8 @ fa6 @ fa7 @ fa5 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa6 @ fa6 @ fa4 @ fa3 @ fa8 @ fa0 @ fa5 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa6 @ fa6 @ fa4 @ fa3 @ fa8 @ fa0 @ fa5 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa8 @ fa6 @ fa4 @ fa3 @ fa6 @ fa5 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa8 @ fa6 @ fa4 @ fa3 @ fa6 @ fa5 @ fa2 @ fa8 @ fa1 ) )
| ( ( ff @ fa9 @ fa0 @ fa6 @ fa4 @ fa7 @ fa6 @ fa9 @ fa2 @ fa8 @ fa1 )
!= ( ff @ fa9 @ fa0 @ fa6 @ fa4 @ fa7 @ fa6 @ fa9 @ fa2 @ fa8 @ fa1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
( p918
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
p1,
inference(split_conjunct,[status(thm)],[ax998]) ).
thf(c_0_8,plain,
~ p918,
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),c_0_8]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
~ ! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
=> ( ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 ) ) )
=> ( ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) ) )
=> ( ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 )
!= ( f @ a9 @ a2 @ a6 @ a4 @ a3 @ a8 @ a5 @ a1 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 ) ) )
=> ( ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 )
!= ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 ) ) )
=> ( ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
!= ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 ) ) )
=> ( ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO885^1.010.010 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 21:38:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 38.76/38.62 % SZS status Theorem
% 38.76/38.62 % Mode: mode485
% 38.76/38.62 % Inferences: 1
% 38.76/38.62 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------