TSTP Solution File: ITP206^1 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP206^1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n010.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 Aug 31 04:02:54 EDT 2023
% Result : Theorem 1.32s 1.59s
% Output : Proof 1.32s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named h2)
% Comments :
%------------------------------------------------------------------------------
thf(ty_heap_Heap_ref_a,type,
heap_Heap_ref_a: $tType ).
thf(ty_heap_e7401611519738050253t_unit,type,
heap_e7401611519738050253t_unit: $tType ).
thf(ty_a,type,
a: $tType ).
thf(ty_ref_a,type,
ref_a: $tType ).
thf(ty_produc7812382424243267045t_unit,type,
produc7812382424243267045t_unit: $tType ).
thf(ty_h2,type,
h2: heap_e7401611519738050253t_unit ).
thf(ty_produc1126150082675451753t_unit,type,
produc1126150082675451753t_unit: produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(ty_thesis,type,
thesis: $o ).
thf(ty_r,type,
r: ref_a ).
thf(ty_produc473321116828791851t_unit,type,
produc473321116828791851t_unit: produc7812382424243267045t_unit > ref_a ).
thf(ty_alloc_a,type,
alloc_a: a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
thf(ty_x,type,
x: a ).
thf(ty_heap_effect_ref_a,type,
heap_effect_ref_a: heap_Heap_ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > ref_a > $o ).
thf(ty_h,type,
h: heap_e7401611519738050253t_unit ).
thf(ty_produc6544324848051098391t_unit,type,
produc6544324848051098391t_unit: ref_a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
thf(ty_ref_a2,type,
ref_a2: a > heap_Heap_ref_a ).
thf(sP1,plain,
( sP1
<=> ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: heap_e7401611519738050253t_unit,X2: ref_a] :
( sP1
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X1 @ X2 )
=> ( h2 = X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
= ( alloc_a @ x @ h ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: heap_Heap_ref_a,X2: heap_e7401611519738050253t_unit,X3: heap_e7401611519738050253t_unit,X4: ref_a,X5: heap_e7401611519738050253t_unit,X6: ref_a] :
( ( heap_effect_ref_a @ X1 @ X2 @ X3 @ X4 )
=> ( ( heap_effect_ref_a @ X1 @ X2 @ X5 @ X6 )
=> ( X4 = X6 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( sP1
=> sP4 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: heap_e7401611519738050253t_unit] :
( ( ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
= ( alloc_a @ x @ X1 ) )
=> ( heap_effect_ref_a @ ( ref_a2 @ x ) @ X1 @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: produc7812382424243267045t_unit] :
( ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ X1 ) @ ( produc1126150082675451753t_unit @ X1 ) )
= X1 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: heap_Heap_ref_a,X2: heap_e7401611519738050253t_unit,X3: heap_e7401611519738050253t_unit,X4: ref_a,X5: heap_e7401611519738050253t_unit,X6: ref_a] :
( ( heap_effect_ref_a @ X1 @ X2 @ X3 @ X4 )
=> ( ( heap_effect_ref_a @ X1 @ X2 @ X5 @ X6 )
=> ( X3 = X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: a,X2: heap_e7401611519738050253t_unit] :
( ( ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
= ( alloc_a @ X1 @ X2 ) )
=> ( heap_effect_ref_a @ ( ref_a2 @ X1 ) @ X2 @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: ref_a] :
( sP1
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) @ X1 )
=> sP7 ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: heap_e7401611519738050253t_unit,X2: ref_a,X3: heap_e7401611519738050253t_unit,X4: ref_a] :
( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X1 @ X2 )
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X3 @ X4 )
=> ( X2 = X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: ref_a,X2: heap_e7401611519738050253t_unit,X3: a,X4: heap_e7401611519738050253t_unit] :
( ( ( produc6544324848051098391t_unit @ X1 @ X2 )
= ( alloc_a @ X3 @ X4 ) )
=> ( heap_effect_ref_a @ ( ref_a2 @ X3 ) @ X4 @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: ref_a,X2: heap_e7401611519738050253t_unit,X3: ref_a] :
( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ X1 )
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X2 @ X3 )
=> ( X1 = X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> thesis ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: ref_a,X4: heap_e7401611519738050253t_unit,X5: ref_a] :
( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ X1 @ X2 @ X3 )
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ X1 @ X4 @ X5 )
=> ( X2 = X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: ref_a,X2: heap_e7401611519738050253t_unit,X3: ref_a] :
( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ X1 )
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X2 @ X3 )
=> ( h2 = X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: ref_a,X4: heap_e7401611519738050253t_unit,X5: ref_a] :
( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ X1 @ X2 @ X3 )
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ X1 @ X4 @ X5 )
=> ( X3 = X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( sP1
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: ref_a] :
( sP1
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) @ X1 )
=> ( r = X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: heap_e7401611519738050253t_unit,X2: a,X3: heap_e7401611519738050253t_unit] :
( ( ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) @ X1 )
= ( alloc_a @ X2 @ X3 ) )
=> ( heap_effect_ref_a @ ( ref_a2 @ X2 ) @ X3 @ X1 @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: heap_e7401611519738050253t_unit,X2: ref_a] :
( sP1
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X1 @ X2 )
=> ( r = X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( sP3
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ! [X1: heap_e7401611519738050253t_unit,X2: ref_a,X3: heap_e7401611519738050253t_unit,X4: ref_a] :
( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X1 @ X2 )
=> ( ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X3 @ X4 )
=> ( X1 = X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(conj_1,conjecture,
sP19 ).
thf(h0,negated_conjecture,
~ sP19,
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(h1,assumption,
~ sP13,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP6
| ~ sP9
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP23
| ~ sP1
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP24
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP26
| sP24 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP27
| ~ sP3
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP18
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP10
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP16
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP14
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP22
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP25
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP5
| sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP17
| sP25 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP11
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(fact_184_effect__deterministic_I1_J,axiom,
sP5 ).
thf(fact_54_prod_Ocollapse,axiom,
sP11 ).
thf(fact_28_effect__refI,axiom,
sP17 ).
thf(fact_1_assms,axiom,
sP1 ).
thf(15,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,fact_184_effect__deterministic_I1_J,fact_54_prod_Ocollapse,fact_28_effect__refI,fact_1_assms,h1]) ).
thf(h3,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(h4,assumption,
sP19,
introduced(assumption,[]) ).
thf(16,plain,
( ~ sP27
| ~ sP3
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP10
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP14
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP4
| ~ sP9
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP25
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP8
| ~ sP1
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP17
| sP25 ),
inference(all_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP15
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP2
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP11
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP21
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP28
| sP21 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP20
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP12
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(fact_183_effect__deterministic_I2_J,axiom,
sP12 ).
thf(30,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h3,h2,h0])],[16,17,18,19,20,21,22,23,24,25,26,27,28,29,fact_183_effect__deterministic_I2_J,fact_54_prod_Ocollapse,fact_28_effect__refI,fact_1_assms,h3]) ).
thf(31,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h4,h2,h0])],[h4,h0]) ).
thf(32,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h2,30,31,h3,h4]) ).
thf(fact_0_that,axiom,
( sP13
=> ( sP7
=> sP19 ) ) ).
thf(33,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[fact_0_that,15,32,h1,h2]) ).
thf(0,theorem,
sP19,
inference(contra,[status(thm),contra(discharge,[h0])],[33,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP206^1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 10:32:04 EDT 2023
% 0.12/0.34 % CPUTime :
% 1.32/1.59 % SZS status Theorem
% 1.32/1.59 % Mode: cade22sinegrackle2x6978
% 1.32/1.59 % Steps: 18991
% 1.32/1.59 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------