TSTP Solution File: ITP047^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP047^1 : 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 : n020.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 00:28:53 EDT 2022
% Result : Theorem 4.27s 4.49s
% Output : Proof 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 31
% Syntax : Number of formulae : 48 ( 18 unt; 21 typ; 0 def)
% Number of atoms : 129 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 171 ( 12 ~; 6 |; 0 &; 150 @)
% ( 0 <=>; 2 =>; 1 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 8 ( 8 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 21 con; 0-4 aty)
% Number of variables : 9 ( 0 ^ 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_option1457017436_r_l_v,type,
option1457017436_r_l_v: $tType ).
thf(ty_l,type,
l: $tType ).
thf(ty_produc1156025366_r_l_v,type,
produc1156025366_r_l_v: $tType ).
thf(ty_cntxt_r_l_v,type,
cntxt_r_l_v: $tType ).
thf(ty_option_val_r_l_v,type,
option_val_r_l_v: $tType ).
thf(ty_produc1164766533_r_l_v,type,
produc1164766533_r_l_v: $tType ).
thf(ty_expr_r_l_v,type,
expr_r_l_v: $tType ).
thf(ty_r,type,
r: $tType ).
thf(ty_produc297528454_r_l_v,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(ty_s,type,
s: r > option1457017436_r_l_v ).
thf(ty_eigen__0,type,
eigen__0: r ).
thf(ty_fun_up709272714_r_l_v,type,
fun_up709272714_r_l_v: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(ty_produc1834103605_r_l_v,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(ty_e,type,
e: cntxt_r_l_v ).
thf(ty_e2,type,
e2: expr_r_l_v ).
thf(ty_r2,type,
r2: r ).
thf(ty_rfork_r_l_v,type,
rfork_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(ty_tau,type,
tau: l > option_val_r_l_v ).
thf(ty_some_P1807977723_r_l_v,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(ty_plug_r_l_v,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(ty_sigma,type,
sigma: l > option_val_r_l_v ).
thf(conj_0,conjecture,
( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
~ ! [X1: r] :
( ( s @ X1 )
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) @ X1 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
( s @ eigen__0 )
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) @ eigen__0 ),
introduced(assumption,[]) ).
thf(pax1,axiom,
( p1
=> ( ( fs @ fr2 )
= ( fsome_P1807977723_r_l_v @ ( fproduc297528454_r_l_v @ fsigma @ ( fproduc1834103605_r_l_v @ ftau @ ( fplug_r_l_v @ fe @ ( frfork_r_l_v @ fe2 ) ) ) ) ) ) ),
file('<stdin>',pax1) ).
thf(pax5,axiom,
( p5
=> ! [X225: r > option1457017436_r_l_v,X226: r] :
( ( ffun_up709272714_r_l_v @ X225 @ X226 @ ( X225 @ X226 ) )
= X225 ) ),
file('<stdin>',pax5) ).
thf(nax112,axiom,
( p112
<= ( ( fs @ f__0 )
= ( ffun_up709272714_r_l_v @ fs @ fr2 @ ( fsome_P1807977723_r_l_v @ ( fproduc297528454_r_l_v @ fsigma @ ( fproduc1834103605_r_l_v @ ftau @ ( fplug_r_l_v @ fe @ ( frfork_r_l_v @ fe2 ) ) ) ) ) @ f__0 ) ) ),
file('<stdin>',nax112) ).
thf(ax111,axiom,
p1,
file('<stdin>',ax111) ).
thf(ax107,axiom,
p5,
file('<stdin>',ax107) ).
thf(ax0,axiom,
~ p112,
file('<stdin>',ax0) ).
thf(c_0_6,plain,
( ~ p1
| ( ( fs @ fr2 )
= ( fsome_P1807977723_r_l_v @ ( fproduc297528454_r_l_v @ fsigma @ ( fproduc1834103605_r_l_v @ ftau @ ( fplug_r_l_v @ fe @ ( frfork_r_l_v @ fe2 ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[pax1]) ).
thf(c_0_7,plain,
! [X939: r > option1457017436_r_l_v,X940: r] :
( ~ p5
| ( ( ffun_up709272714_r_l_v @ X939 @ X940 @ ( X939 @ X940 ) )
= X939 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax5])])]) ).
thf(c_0_8,plain,
( ( ( fs @ f__0 )
!= ( ffun_up709272714_r_l_v @ fs @ fr2 @ ( fsome_P1807977723_r_l_v @ ( fproduc297528454_r_l_v @ fsigma @ ( fproduc1834103605_r_l_v @ ftau @ ( fplug_r_l_v @ fe @ ( frfork_r_l_v @ fe2 ) ) ) ) ) @ f__0 ) )
| p112 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax112])]) ).
thf(c_0_9,plain,
( ( ( fs @ fr2 )
= ( fsome_P1807977723_r_l_v @ ( fproduc297528454_r_l_v @ fsigma @ ( fproduc1834103605_r_l_v @ ftau @ ( fplug_r_l_v @ fe @ ( frfork_r_l_v @ fe2 ) ) ) ) ) )
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
p1,
inference(split_conjunct,[status(thm)],[ax111]) ).
thf(c_0_11,plain,
! [X5: r,X4: r > option1457017436_r_l_v] :
( ( ( ffun_up709272714_r_l_v @ X4 @ X5 @ ( X4 @ X5 ) )
= X4 )
| ~ p5 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
p5,
inference(split_conjunct,[status(thm)],[ax107]) ).
thf(c_0_13,plain,
~ p112,
inference(fof_simplification,[status(thm)],[ax0]) ).
thf(c_0_14,plain,
( p112
| ( ( fs @ f__0 )
!= ( ffun_up709272714_r_l_v @ fs @ fr2 @ ( fsome_P1807977723_r_l_v @ ( fproduc297528454_r_l_v @ fsigma @ ( fproduc1834103605_r_l_v @ ftau @ ( fplug_r_l_v @ fe @ ( frfork_r_l_v @ fe2 ) ) ) ) ) @ f__0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_15,plain,
( ( fsome_P1807977723_r_l_v @ ( fproduc297528454_r_l_v @ fsigma @ ( fproduc1834103605_r_l_v @ ftau @ ( fplug_r_l_v @ fe @ ( frfork_r_l_v @ fe2 ) ) ) ) )
= ( fs @ fr2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
thf(c_0_16,plain,
! [X5: r,X4: r > option1457017436_r_l_v] :
( ( ffun_up709272714_r_l_v @ X4 @ X5 @ ( X4 @ X5 ) )
= X4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
thf(c_0_17,plain,
~ p112,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_18,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),c_0_17]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h2,h1,h0])],]) ).
thf(2,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__0)],[h1,1,h2]) ).
thf(3,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h0]),tab_fe(discharge,[h1])],[h0,2,h1]) ).
thf(0,theorem,
( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP047^1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 2 12:09:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 4.27/4.49 % SZS status Theorem
% 4.27/4.49 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 4.27/4.49 % Inferences: 1
% 4.27/4.49 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------