TSTP Solution File: ITP058^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP058^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n029.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 : 600s
% DateTime : Sun Jul 17 00:28:56 EDT 2022
% Result : Theorem 45.84s 45.73s
% Output : Proof 45.84s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_list_message_p_v,type,
list_message_p_v: $tType ).
thf(ty_list_c1059388851t_unit,type,
list_c1059388851t_unit: $tType ).
thf(ty_nat,type,
nat: $tType ).
thf(ty_config256849571t_unit,type,
config256849571t_unit: $tType ).
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_cons_c1162654829t_unit,type,
cons_c1162654829t_unit: config256849571t_unit > list_c1059388851t_unit > list_c1059388851t_unit ).
thf(ty_fStepCfg,type,
fStepCfg: list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit ).
thf(ty_fStepMsg,type,
fStepMsg: list_c1059388851t_unit > list_message_p_v > list_message_p_v ).
thf(ty_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(ty_fe,type,
fe: nat > list_c1059388851t_unit ).
thf(ty_cfg,type,
cfg: config256849571t_unit ).
thf(ty_nil_co1338500125t_unit,type,
nil_co1338500125t_unit: list_c1059388851t_unit ).
thf(sP1,plain,
( sP1
<=> ( ( fe @ zero_zero_nat )
= ( fe @ zero_zero_nat ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [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,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( fe @ zero_zero_nat )
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ zero_zero_nat ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [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,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( fe
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( fe @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: nat] :
( ( fe @ X1 )
= ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( fLPThe1519354920_p_v_s @ cfg @ fStepCfg @ fStepMsg @ zero_zero_nat )
= ( cons_c1162654829t_unit @ cfg @ nil_co1338500125t_unit ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [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,[sP9])]) ).
thf(conj_0,conjecture,
sP6 ).
thf(h0,negated_conjecture,
~ sP6,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP4
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP2
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP3
| sP6
| ~ sP1
| ~ sP8 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP7
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
sP1,
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP9
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP5
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(fact_1_fe__def,axiom,
sP5 ).
thf(fact_2_infiniteExecutionCfg_Osimps_I1_J,axiom,
sP9 ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,fact_1_fe__def,fact_2_infiniteExecutionCfg_Osimps_I1_J,h0]) ).
thf(0,theorem,
sP6,
inference(contra,[status(thm),contra(discharge,[h0])],[8,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP058^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 12:14:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 45.84/45.73 % SZS status Theorem
% 45.84/45.73 % Mode: mode84:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=2.:SINE_DEPTH=0
% 45.84/45.73 % Inferences: 2786
% 45.84/45.73 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------