TSTP Solution File: ITP058^1 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP058^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n011.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 04:01:49 EDT 2023
% Result : Theorem 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_list_c1059388851t_unit,type,
list_c1059388851t_unit: $tType ).
thf(ty_config256849571t_unit,type,
config256849571t_unit: $tType ).
thf(ty_list_message_p_v,type,
list_message_p_v: $tType ).
thf(ty_nat,type,
nat: $tType ).
thf(ty_cons_c1162654829t_unit,type,
cons_c1162654829t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(ty_nil_co1338500125t_unit,type,
nil_co1338500125t_unit: list_c1059388851t_unit ).
thf(ty_cfg,type,
cfg: config256849571t_unit ).
thf(ty_fStepMsg,type,
fStepMsg: list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(ty_fStepCfg,type,
fStepCfg: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(ty_suc,type,
suc: nat > nat ).
thf(ty_fe,type,
fe: nat > list_c1059388851t_unit ).
thf(ty_nil_message_p_v,type,
nil_message_p_v: list_message_p_v ).
thf(ty_fLPThe536531371_p_v_s,type,
fLPThe536531371_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_message_p_v ).
thf(ty_fLPThe1519354920_p_v_s,type,
fLPThe1519354920_p_v_s: config256849571t_unit > ( list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ) > ( list_c1059388851t_unit > list_message_p_v > list_message_p_v ) > nat > list_c1059388851t_unit ).
thf(ty_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(sP1,plain,
( sP1
<=> ! [X1: config256849571t_unit,X2: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X3: list_c1059388851t_unit > list_message_p_v > list_message_p_v] :
( ( fLPThe1519354920_p_v_s @ X1 @ X2 @ X3 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ X1 @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> $false ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: nat] :
( ( fe @ X1 )
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: config256849571t_unit,X2: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X3: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X4: nat,X5: list_message_p_v] :
( ( ( fLPThe536531371_p_v_s @ X1 @ X2 @ X3 @ X4 )
= X5 )
=> ( ( ( X4 = zero_zero_nat )
=> ( X5 != nil_message_p_v ) )
=> ~ ! [X6: nat] :
( ( X4
= ( suc @ X6 ) )
=> ( X5
!= ( X3 @ ( fLPThe1519354920_p_v_s @ X1 @ X2 @ X3 @ X6 ) @ ( fLPThe536531371_p_v_s @ X1 @ X2 @ X3 @ X6 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: list_message_p_v] :
( ( ( fLPThe536531371_p_v_s @ cfg @ fStepCfg @ fStepMsg @ zero_zero_nat )
= X1 )
=> ( ( X1 != nil_message_p_v )
=> ~ ! [X2: nat] :
( ( zero_zero_nat
= ( suc @ X2 ) )
=> ( X1
!= ( fStepMsg @ ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X2 ) @ ( fLPThe536531371_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X2: list_c1059388851t_unit > list_message_p_v > list_message_p_v] :
( ( fLPThe1519354920_p_v_s @ cfg @ X1 @ X2 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: nat,X2: list_message_p_v] :
( ( ( fLPThe536531371_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X1 )
= X2 )
=> ( ( ( X1 = zero_zero_nat )
=> ( X2 != nil_message_p_v ) )
=> ~ ! [X3: nat] :
( ( X1
= ( suc @ X3 ) )
=> ( X2
!= ( fStepMsg @ ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X3 ) @ ( fLPThe536531371_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X3 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X2: nat,X3: list_message_p_v] :
( ( ( fLPThe536531371_p_v_s @ cfg @ fStepCfg @ X1 @ X2 )
= X3 )
=> ( ( ( X2 = zero_zero_nat )
=> ( X3 != nil_message_p_v ) )
=> ~ ! [X4: nat] :
( ( X2
= ( suc @ X4 ) )
=> ( X3
!= ( X1 @ ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ X1 @ X4 ) @ ( fLPThe536531371_p_v_s @ cfg @ fStepCfg @ X1 @ X4 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: list_c1059388851t_unit > list_message_p_v > list_message_p_v] :
( ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ X1 @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( fe @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit,X2: list_c1059388851t_unit > list_message_p_v > list_message_p_v,X3: nat,X4: list_message_p_v] :
( ( ( fLPThe536531371_p_v_s @ cfg @ X1 @ X2 @ X3 )
= X4 )
=> ( ( ( X3 = zero_zero_nat )
=> ( X4 != nil_message_p_v ) )
=> ~ ! [X5: nat] :
( ( X3
= ( suc @ X5 ) )
=> ( X4
!= ( X2 @ ( fLPThe1519354920_p_v_s @ cfg @ X1 @ X2 @ X5 ) @ ( fLPThe536531371_p_v_s @ cfg @ X1 @ X2 @ X5 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( fe @ zero_zero_nat )
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ zero_zero_nat ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(conj_0,conjecture,
sP11 ).
thf(h0,negated_conjecture,
~ sP11,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP14
| sP11
| sP2
| ~ sP13 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP5
| ~ sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP7
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP9
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP8
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP6
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP12
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP3
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP1
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP4
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP10
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(fact_105_infiniteExecutionMsg_Oelims,axiom,
sP4 ).
thf(fact_2_infiniteExecutionCfg_Osimps_I1_J,axiom,
sP1 ).
thf(fact_1_fe__def,axiom,
sP10 ).
thf(12,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,h0,fact_105_infiniteExecutionMsg_Oelims,fact_2_infiniteExecutionCfg_Osimps_I1_J,fact_1_fe__def]) ).
thf(0,theorem,
sP11,
inference(contra,[status(thm),contra(discharge,[h0])],[12,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP058^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n011.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 10:13:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 % Mode: cade22sinegrackle2x6978
% 0.19/0.43 % Steps: 99
% 0.19/0.43 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------