%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP164^1 : 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 : n014.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 01:47:09 PM UTC 2025
% Result : Theorem 0.63s 0.85s
% Output : Proof 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 90 ( 11 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 62 ( 22 ~; 16 |; 0 &; 22 @)
% ( 0 <=>; 1 =>; 1 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 17 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(conj_0,conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a ) ).
thf(h0,negated_conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
!= bot_bo529555393nres_a ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(ax4,axiom,
( ~ p45
| p48 ),
file('<stdin>',ax4) ).
thf(ax3,axiom,
( ~ p48
| p49 ),
file('<stdin>',ax3) ).
thf(ax8,axiom,
p45,
file('<stdin>',ax8) ).
thf(ax2,axiom,
( ~ p49
| ~ p44
| p43 ),
file('<stdin>',ax2) ).
thf(ax9,axiom,
~ p43,
file('<stdin>',ax9) ).
thf(nax44,axiom,
( p44
<= ( fbot_bo529555393nres_a
= ( frefine119808503unit_a @ fbot_bo658782032t_unit @ ff ) ) ),
file('<stdin>',nax44) ).
thf(pax4,axiom,
( p4
=> ! [X23: product_unit > refine424419629nres_a] :
( ( frefine119808503unit_a @ fbot_bo658782032t_unit @ X23 )
= fbot_bo529555393nres_a ) ),
file('<stdin>',pax4) ).
thf(ax48,axiom,
p4,
file('<stdin>',ax48) ).
thf(c_0_8,plain,
( ~ p45
| p48 ),
inference(fof_simplification,[status(thm)],[ax4]) ).
thf(c_0_9,plain,
( ~ p48
| p49 ),
inference(fof_simplification,[status(thm)],[ax3]) ).
thf(c_0_10,plain,
( p48
| ~ p45 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_11,plain,
p45,
inference(split_conjunct,[status(thm)],[ax8]) ).
thf(c_0_12,plain,
( ~ p49
| ~ p44
| p43 ),
inference(fof_simplification,[status(thm)],[ax2]) ).
thf(c_0_13,plain,
( p49
| ~ p48 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
p48,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
thf(c_0_15,plain,
~ p43,
inference(fof_simplification,[status(thm)],[ax9]) ).
thf(c_0_16,plain,
( ( fbot_bo529555393nres_a
!= ( frefine119808503unit_a @ fbot_bo658782032t_unit @ ff ) )
| p44 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax44])]) ).
thf(c_0_17,plain,
( p43
| ~ p49
| ~ p44 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
p49,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
thf(c_0_19,plain,
~ p43,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
! [X105: product_unit > refine424419629nres_a] :
( ~ p4
| ( ( frefine119808503unit_a @ fbot_bo658782032t_unit @ X105 )
= fbot_bo529555393nres_a ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax4])])]) ).
thf(c_0_21,plain,
( p44
| ( fbot_bo529555393nres_a
!= ( frefine119808503unit_a @ fbot_bo658782032t_unit @ ff ) ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_22,plain,
~ p44,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),c_0_19]) ).
thf(c_0_23,plain,
! [X5: product_unit > refine424419629nres_a] :
( ( ( frefine119808503unit_a @ fbot_bo658782032t_unit @ X5 )
= fbot_bo529555393nres_a )
| ~ p4 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_24,plain,
p4,
inference(split_conjunct,[status(thm)],[ax48]) ).
thf(c_0_25,plain,
( ( frefine119808503unit_a @ fbot_bo658782032t_unit @ ff )
!= fbot_bo529555393nres_a ),
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_26,plain,
! [X5: product_unit > refine424419629nres_a] :
( ( frefine119808503unit_a @ fbot_bo658782032t_unit @ X5 )
= fbot_bo529555393nres_a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
thf(c_0_27,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],[]) ).
thf(0,theorem,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP164^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n014.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 : Wed Oct 8 18:15:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.63/0.85 % SZS status Theorem
% 0.63/0.85 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.63/0.85 % Inferences: 2
% 0.63/0.85 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------