%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO885^1.055.005 : 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 : n016.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 03:26:25 PM UTC 2025
% Result : Theorem 18.60s 18.90s
% Output : Proof 18.60s
% 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 : 389 ( 30 equ; 0 cnn)
% Maximal formula atoms : 6 ( 27 avg)
% Number of connectives : 376 ( 46 ~; 13 |; 0 &; 300 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 15 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(goal,conjecture,
~ ! [X1: $i > $i > $i > $i > $i > $i] :
( ~ ( ~ ( ~ ( ( ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 )
= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
=> ( ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 )
!= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) ) )
=> ( ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) ) )
=> ( ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 )
!= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) ) )
=> ( ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) ) ) ).
thf(h0,negated_conjecture,
! [X1: $i > $i > $i > $i > $i > $i] :
( ~ ( ~ ( ~ ( ( ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 )
= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
=> ( ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 )
!= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) ) )
=> ( ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) ) )
=> ( ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 )
!= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) ) )
=> ( ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) ) ),
inference(assume_negation,[status(cth)],[goal]) ).
thf(pax11,axiom,
( p11
=> ( ~ ( ~ ( ~ ( ( ( ff @ fa0 @ fa4 @ fa3 @ fa3 @ fa1 )
= ( ff @ fa0 @ fa4 @ fa3 @ fa3 @ fa1 ) )
=> ( ( ff @ fa0 @ fa3 @ fa3 @ fa1 @ fa4 )
!= ( ff @ fa0 @ fa3 @ fa3 @ fa1 @ fa4 ) ) )
=> ( ( ff @ fa0 @ fa1 @ fa3 @ fa0 @ fa3 )
!= ( ff @ fa0 @ fa1 @ fa3 @ fa0 @ fa3 ) ) )
=> ( ( ff @ fa0 @ fa4 @ fa3 @ fa0 @ fa2 )
!= ( ff @ fa0 @ fa4 @ fa3 @ fa0 @ fa2 ) ) )
=> ( ( ff @ fa0 @ fa2 @ fa3 @ fa4 @ fa0 )
!= ( ff @ fa0 @ fa2 @ fa3 @ fa4 @ fa0 ) ) ) ),
file('<stdin>',pax11) ).
thf(ax1017,axiom,
( ~ p1
| p11 ),
file('<stdin>',ax1017) ).
thf(ax1027,axiom,
p1,
file('<stdin>',ax1027) ).
thf(c_0_3,plain,
( ~ p11
| ( ( ff @ fa0 @ fa4 @ fa3 @ fa3 @ fa1 )
!= ( ff @ fa0 @ fa4 @ fa3 @ fa3 @ fa1 ) )
| ( ( ff @ fa0 @ fa3 @ fa3 @ fa1 @ fa4 )
!= ( ff @ fa0 @ fa3 @ fa3 @ fa1 @ fa4 ) )
| ( ( ff @ fa0 @ fa1 @ fa3 @ fa0 @ fa3 )
!= ( ff @ fa0 @ fa1 @ fa3 @ fa0 @ fa3 ) )
| ( ( ff @ fa0 @ fa4 @ fa3 @ fa0 @ fa2 )
!= ( ff @ fa0 @ fa4 @ fa3 @ fa0 @ fa2 ) )
| ( ( ff @ fa0 @ fa2 @ fa3 @ fa4 @ fa0 )
!= ( ff @ fa0 @ fa2 @ fa3 @ fa4 @ fa0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax11])]) ).
thf(c_0_4,plain,
( ~ p1
| p11 ),
inference(fof_simplification,[status(thm)],[ax1017]) ).
thf(c_0_5,plain,
( ~ p11
| ( ( ff @ fa0 @ fa4 @ fa3 @ fa3 @ fa1 )
!= ( ff @ fa0 @ fa4 @ fa3 @ fa3 @ fa1 ) )
| ( ( ff @ fa0 @ fa3 @ fa3 @ fa1 @ fa4 )
!= ( ff @ fa0 @ fa3 @ fa3 @ fa1 @ fa4 ) )
| ( ( ff @ fa0 @ fa1 @ fa3 @ fa0 @ fa3 )
!= ( ff @ fa0 @ fa1 @ fa3 @ fa0 @ fa3 ) )
| ( ( ff @ fa0 @ fa4 @ fa3 @ fa0 @ fa2 )
!= ( ff @ fa0 @ fa4 @ fa3 @ fa0 @ fa2 ) )
| ( ( ff @ fa0 @ fa2 @ fa3 @ fa4 @ fa0 )
!= ( ff @ fa0 @ fa2 @ fa3 @ fa4 @ fa0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
( p11
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
p1,
inference(split_conjunct,[status(thm)],[ax1027]) ).
thf(c_0_8,plain,
~ p11,
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] :
( ~ ( ~ ( ~ ( ( ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 )
= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
=> ( ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 )
!= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) ) )
=> ( ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) ) )
=> ( ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 )
!= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) ) )
=> ( ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO885^1.055.005 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n016.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 : 300
% 0.12/0.33 % DateTime : Thu Oct 9 01:07:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 18.60/18.90 % SZS status Theorem
% 18.60/18.90 % Mode: mode485
% 18.60/18.90 % Inferences: 535
% 18.60/18.90 % SZS output start Proof
% See solution above
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