TSTP Solution File: ITP198^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP198^1 : 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 : 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 : 600s
% DateTime : Sun Jul 17 00:29:28 EDT 2022
% Result : Theorem 46.42s 46.03s
% Output : Proof 46.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_denotational_interp,type,
denotational_interp: $tType ).
thf(ty_produc1020032539e_real,type,
produc1020032539e_real: $tType ).
thf(ty_produc1993135732e_real,type,
produc1993135732e_real: $tType ).
thf(ty_produc104944723e_real,type,
produc104944723e_real: $tType ).
thf(ty_set_variable_real,type,
set_variable_real: $tType ).
thf(ty_char,type,
char: $tType ).
thf(ty_real,type,
real: $tType ).
thf(ty_produc2007437005e_real,type,
produc2007437005e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ).
thf(ty_d,type,
d: real ).
thf(ty_if_real,type,
if_real: $o > real > real > real ).
thf(ty_produc2125489830e_real,type,
produc2125489830e_real: ( char > real ) > produc1020032539e_real > produc1993135732e_real ).
thf(ty_produc141013715e_real,type,
produc141013715e_real: ( char > real > real ) > produc104944723e_real > produc1020032539e_real ).
thf(ty_i,type,
i: denotational_interp ).
thf(ty_denotational_Games,type,
denotational_Games: denotational_interp > char > set_variable_real > set_variable_real ).
thf(ty_denotational_Preds,type,
denotational_Preds: denotational_interp > char > real > $o ).
thf(ty_denotational_Consts,type,
denotational_Consts: denotational_interp > char > real ).
thf(ty_denotational_Funcs,type,
denotational_Funcs: denotational_interp > char > real > real ).
thf(ty_f,type,
f: char ).
thf(ty_denota1150374853interp,type,
denota1150374853interp: produc1993135732e_real > denotational_interp ).
thf(sP1,plain,
( sP1
<=> ! [X1: char > real,X2: char > real > real,X3: char > real > $o,X4: char > set_variable_real > set_variable_real] :
( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X1 @ ( produc141013715e_real @ X2 @ ( produc2007437005e_real @ X3 @ X4 ) ) ) ) )
= X3 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [X1: char] : ( if_real @ ( X1 = f ) @ d @ ( denotational_Consts @ i @ X1 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
= ( denotational_Preds @ i ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: char > set_variable_real > set_variable_real] :
( ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [X2: char] : ( if_real @ ( X2 = f ) @ d @ ( denotational_Consts @ i @ X2 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ X1 ) ) ) ) )
= ( denotational_Preds @ i ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: char > real > $o,X2: char > set_variable_real > set_variable_real] :
( ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [X3: char] : ( if_real @ ( X3 = f ) @ d @ ( denotational_Consts @ i @ X3 ) )
@ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ X1 @ X2 ) ) ) ) )
= X1 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: char > real > real,X2: char > real > $o,X3: char > set_variable_real > set_variable_real] :
( ( denotational_Preds
@ ( denota1150374853interp
@ ( produc2125489830e_real
@ ^ [X4: char] : ( if_real @ ( X4 = f ) @ d @ ( denotational_Consts @ i @ X4 ) )
@ ( produc141013715e_real @ X1 @ ( produc2007437005e_real @ X2 @ X3 ) ) ) ) )
= X2 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(conj_0,conjecture,
sP2 ).
thf(h0,negated_conjecture,
~ sP2,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP1
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP5
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP4
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP3
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(fact_0_Preds__mkinterp,axiom,
sP1 ).
thf(5,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,fact_0_Preds__mkinterp,h0]) ).
thf(0,theorem,
sP2,
inference(contra,[status(thm),contra(discharge,[h0])],[5,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP198^1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 2 22:19:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 46.42/46.03 % SZS status Theorem
% 46.42/46.03 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 46.42/46.03 % Inferences: 18
% 46.42/46.03 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------