%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP171^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n027.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 01:45:20 PM UTC 2025
% Result : Theorem 0.21s 0.47s
% Output : Proof 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_m,type,
m: $tType ).
thf(ty_heap_S1465075775_j_k_l,type,
heap_S1465075775_j_k_l: $tType ).
thf(ty_rObjec2068690451tion_j,type,
rObjec2068690451tion_j: $tType ).
thf(ty_shadow_root_ptr_d,type,
shadow_root_ptr_d: $tType ).
thf(ty_n,type,
n: $tType ).
thf(ty_docume1935157360tr_d_e,type,
docume1935157360tr_d_e: $tType ).
thf(ty_rObjec1617416918on_j_k,type,
rObjec1617416918on_j_k: $tType ).
thf(ty_setter,type,
setter: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ).
thf(ty_h,type,
h: heap_S1465075775_j_k_l ).
thf(ty_heap_E1683112693tion_n,type,
heap_E1683112693tion_n: heap_E834686006tion_n > heap_S1465075775_j_k_l > heap_S1465075775_j_k_l > $o ).
thf(ty_h2,type,
h2: heap_S1465075775_j_k_l ).
thf(ty_v,type,
v: m ).
thf(ty_document_ptr,type,
document_ptr: docume1935157360tr_d_e ).
thf(ty_shadow_root_ptr,type,
shadow_root_ptr: shadow_root_ptr_d ).
thf(ty_put_M_674497586_h_i_l,type,
put_M_674497586_h_i_l: docume1935157360tr_d_e > ( ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k ) > m > heap_E625070648t_unit ).
thf(ty_shadow569799008_i_k_l,type,
shadow569799008_i_k_l: shadow_root_ptr_d > ( rObjec2068690451tion_j > n ) > heap_E834686006tion_n ).
thf(ty_heap_E494191872t_unit,type,
heap_E494191872t_unit: heap_S1465075775_j_k_l > heap_E625070648t_unit > heap_S1465075775_j_k_l > $o ).
thf(ty_getter,type,
getter: rObjec2068690451tion_j > n ).
thf(ty_cast_s253715760_r_d_e,type,
cast_s253715760_r_d_e: shadow_root_ptr_d > docume1935157360tr_d_e ).
thf(sP1,plain,
( sP1
<=> ( ( cast_s253715760_r_d_e @ shadow_root_ptr )
= document_ptr ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: heap_S1465075775_j_k_l,X2: rObjec2068690451tion_j > n] :
( ~ sP1
=> ( ( heap_E494191872t_unit @ h @ ( put_M_674497586_h_i_l @ document_ptr @ setter @ v ) @ X1 )
=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ X2 ) @ h @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: rObjec2068690451tion_j > n] :
( ~ sP1
=> ( ( heap_E494191872t_unit @ h @ ( put_M_674497586_h_i_l @ document_ptr @ setter @ v ) @ h2 )
=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ X1 ) @ h @ h2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: shadow_root_ptr_d,X2: docume1935157360tr_d_e,X3: heap_S1465075775_j_k_l,X4: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,X5: m,X6: heap_S1465075775_j_k_l,X7: rObjec2068690451tion_j > n] :
( ( ( cast_s253715760_r_d_e @ X1 )
!= X2 )
=> ( ( heap_E494191872t_unit @ X3 @ ( put_M_674497586_h_i_l @ X2 @ X4 @ X5 ) @ X6 )
=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ X1 @ X7 ) @ X3 @ X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: heap_S1465075775_j_k_l,X2: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,X3: m,X4: heap_S1465075775_j_k_l,X5: rObjec2068690451tion_j > n] :
( ~ sP1
=> ( ( heap_E494191872t_unit @ X1 @ ( put_M_674497586_h_i_l @ document_ptr @ X2 @ X3 ) @ X4 )
=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ X5 ) @ X1 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,X2: m,X3: heap_S1465075775_j_k_l,X4: rObjec2068690451tion_j > n] :
( ~ sP1
=> ( ( heap_E494191872t_unit @ h @ ( put_M_674497586_h_i_l @ document_ptr @ X1 @ X2 ) @ X3 )
=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ X4 ) @ h @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ sP1
=> ( ( heap_E494191872t_unit @ h @ ( put_M_674497586_h_i_l @ document_ptr @ setter @ v ) @ h2 )
=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ getter ) @ h @ h2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ getter ) @ h @ h2 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( heap_E494191872t_unit @ h @ ( put_M_674497586_h_i_l @ document_ptr @ setter @ v ) @ h2 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: docume1935157360tr_d_e,X2: heap_S1465075775_j_k_l,X3: ( m > m ) > rObjec1617416918on_j_k > rObjec1617416918on_j_k,X4: m,X5: heap_S1465075775_j_k_l,X6: rObjec2068690451tion_j > n] :
( ( ( cast_s253715760_r_d_e @ shadow_root_ptr )
!= X1 )
=> ( ( heap_E494191872t_unit @ X2 @ ( put_M_674497586_h_i_l @ X1 @ X3 @ X4 ) @ X5 )
=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ X6 ) @ X2 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: m,X2: heap_S1465075775_j_k_l,X3: rObjec2068690451tion_j > n] :
( ~ sP1
=> ( ( heap_E494191872t_unit @ h @ ( put_M_674497586_h_i_l @ document_ptr @ setter @ X1 ) @ X2 )
=> ( heap_E1683112693tion_n @ ( shadow569799008_i_k_l @ shadow_root_ptr @ X3 ) @ h @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( sP9
=> sP8 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(conj_4,conjecture,
sP8 ).
thf(h0,negated_conjecture,
~ sP8,
inference(assume_negation,[status(cth)],[conj_4]) ).
thf(1,plain,
( ~ sP12
| ~ sP9
| sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP7
| sP1
| sP12 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP3
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP2
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP11
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP6
| sP11 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP5
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP10
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP4
| sP10 ),
inference(all_rule,[status(thm)],[]) ).
thf(conj_3,axiom,
~ sP1 ).
thf(conj_0,axiom,
sP9 ).
thf(fact_4_get__M__shadow__root__put__M__document__different__pointers,axiom,
sP4 ).
thf(10,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,h0,conj_3,conj_0,fact_4_get__M__shadow__root__put__M__document__different__pointers]) ).
thf(0,theorem,
sP8,
inference(contra,[status(thm),contra(discharge,[h0])],[10,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP171^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 8 18:46:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.21/0.47 % SZS status Theorem
% 0.21/0.47 % Mode: cade22sinegrackle2x6978
% 0.21/0.47 % Steps: 618
% 0.21/0.47 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------