%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP172^1 : 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 : n015.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 01:47:11 PM UTC 2025
% Result : Theorem 37.46s 37.46s
% Output : Proof 37.46s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_list_n282880152tr_b_c,type,
list_n282880152tr_b_c: $tType ).
thf(ty_option2026120038on_j_k,type,
option2026120038on_j_k: $tType ).
thf(ty_rObjec1413572695_j_k_l,type,
rObjec1413572695_j_k_l: $tType ).
thf(ty_product_unit,type,
product_unit: $tType ).
thf(ty_option841825948on_j_k,type,
option841825948on_j_k: $tType ).
thf(ty_rDocum326988203on_j_k,type,
rDocum326988203on_j_k: $tType ).
thf(ty_list_char,type,
list_char: $tType ).
thf(ty_option_element_ptr_a,type,
option_element_ptr_a: $tType ).
thf(ty_rObjec1617416918on_j_k,type,
rObjec1617416918on_j_k: $tType ).
thf(ty_product_Unity,type,
product_Unity: product_unit ).
thf(ty_is_doc1417632087_j_k_l,type,
is_doc1417632087_j_k_l: rObjec1413572695_j_k_l > $o ).
thf(ty_none_R1587534007on_j_k,type,
none_R1587534007on_j_k: option841825948on_j_k ).
thf(ty_nil_no279930520tr_b_c,type,
nil_no279930520tr_b_c: list_n282880152tr_b_c ).
thf(ty_rObjec1303043984on_j_k,type,
rObjec1303043984on_j_k: product_unit > rDocum326988203on_j_k > rObjec1617416918on_j_k ).
thf(ty_cast_O1034441233_j_k_l,type,
cast_O1034441233_j_k_l: rObjec1413572695_j_k_l > option841825948on_j_k ).
thf(ty_none_element_ptr_a,type,
none_element_ptr_a: option_element_ptr_a ).
thf(ty_cast_D1252964113_h_i_l,type,
cast_D1252964113_h_i_l: rObjec1617416918on_j_k > rObjec1413572695_j_k_l ).
thf(ty_rDocum427676485on_j_k,type,
rDocum427676485on_j_k: product_unit > list_char > option_element_ptr_a > list_n282880152tr_b_c > option2026120038on_j_k > rDocum326988203on_j_k ).
thf(ty_nil_char,type,
nil_char: list_char ).
thf(ty_none_S1393028981on_j_k,type,
none_S1393028981on_j_k: option2026120038on_j_k ).
thf(sP1,plain,
( sP1
<=> ( ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) )
= ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k )
= ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ X1 )
!= ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( sP3
= ( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
!= none_R1587534007on_j_k ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) )
= ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( is_doc1417632087_j_k_l
= ( ^ [X1: rObjec1413572695_j_k_l] :
( ( cast_O1034441233_j_k_l @ X1 )
!= none_R1587534007on_j_k ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( product_Unity = product_Unity ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
= none_R1587534007on_j_k )
= sP4 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: rObjec1413572695_j_k_l] :
( ( ( cast_O1034441233_j_k_l @ X1 )
= none_R1587534007on_j_k )
= ( ! [X2: rObjec1617416918on_j_k] :
( ( cast_D1252964113_h_i_l @ X2 )
!= X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: rObjec1413572695_j_k_l] :
( ( is_doc1417632087_j_k_l @ X1 )
= ( ( cast_O1034441233_j_k_l @ X1 )
!= none_R1587534007on_j_k ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
= none_R1587534007on_j_k ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(conj_3,conjecture,
sP3 ).
thf(h0,negated_conjecture,
~ sP3,
inference(assume_negation,[status(cth)],[conj_3]) ).
thf(1,plain,
( ~ sP5
| sP3
| sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
sP2,
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
sP8,
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( sP1
| ~ sP8
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( sP6
| ~ sP1 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP4
| ~ sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP9
| ~ sP12
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP11
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP7
| sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP10
| sP9 ),
inference(all_rule,[status(thm)],[]) ).
thf(fact_115_is__document__kind__def,axiom,
sP7 ).
thf(fact_110_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__none,axiom,
sP10 ).
thf(11,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,h0,fact_115_is__document__kind__def,fact_110_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__none]) ).
thf(0,theorem,
sP3,
inference(contra,[status(thm),contra(discharge,[h0])],[11,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ITP172^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.15 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 8 18:35:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 37.46/37.46 % SZS status Theorem
% 37.46/37.46 % Mode: mode478:USE_SINE=true:SINE_TOLERANCE=2.0:SINE_GENERALITY_THRESHOLD=16:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 37.46/37.46 % Inferences: 692
% 37.46/37.46 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------