%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO885^1.033.003 : 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 : n001.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 1.06s 1.32s
% Output : Proof 1.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a0,type,
a0: $i ).
thf(ty_a1,type,
a1: $i ).
thf(ty_a2,type,
a2: $i ).
thf(ty_f,type,
f: $i > $i > $i > $i ).
thf(sP1,plain,
( sP1
<=> ( ~ ( ( ( f @ a0 @ a1 @ a2 )
= ( f @ a0 @ a1 @ a2 ) )
=> ( ( f @ a0 @ a1 @ a2 )
!= ( f @ a0 @ a1 @ a2 ) ) )
=> ( ( f @ a0 @ a1 @ a2 )
!= ( f @ a0 @ a1 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ( f @ a0 @ a1 @ a2 )
= ( f @ a0 @ a1 @ a2 ) )
=> ( ( f @ a0 @ a1 @ a2 )
!= ( f @ a0 @ a1 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( f @ a0 @ a1 @ a2 )
= ( f @ a0 @ a1 @ a2 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i > $i > $i > $i] :
( ~ ( ( ( X1 @ a0 @ a1 @ a2 )
= ( f @ a0 @ a1 @ a2 ) )
=> ( ( X1 @ a0 @ a2 @ a1 )
!= ( f @ a0 @ a1 @ a2 ) ) )
=> ( ( X1 @ a2 @ a1 @ a0 )
!= ( f @ a0 @ a1 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(goal,conjecture,
~ sP4 ).
thf(h0,negated_conjecture,
sP4,
inference(assume_negation,[status(cth)],[goal]) ).
thf(1,plain,
sP3,
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP2
| ~ sP3
| ~ sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP1
| sP2
| ~ sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP4
| sP1 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,h0]) ).
thf(0,theorem,
~ sP4,
inference(contra,[status(thm),contra(discharge,[h0])],[5,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO885^1.033.003 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n001.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 : Thu Oct 9 01:04:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 1.06/1.32 % SZS status Theorem
% 1.06/1.32 % Mode: mode506
% 1.06/1.32 % Inferences: 38895
% 1.06/1.32 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------