TSTP Solution File: ITP148^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP148^1 : 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 : n017.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 00:29:17 EDT 2022
% Result : Theorem 2.47s 2.66s
% Output : Proof 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 145 ( 20 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 121 ( 13 ~; 8 |; 0 &; 96 @)
% ( 0 <=>; 3 =>; 1 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 20 con; 0-2 aty)
% Number of variables : 17 ( 0 ^ 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(conj_0,conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ) ).
thf(h0,negated_conjecture,
( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(pax9,axiom,
( p9
=> ! [X93: a > complex,X94: real > a] :
( ( fpath_p797330068omplex @ ( fcomp_a_complex_real @ X93 @ X94 ) )
= ( X93 @ ( fpath_pathstart_a @ X94 ) ) ) ),
file('<stdin>',pax9) ).
thf(pax1,axiom,
( p1
=> ( ( fpath_pathfinish_a @ fc )
= ( fpath_pathstart_a @ fc ) ) ),
file('<stdin>',pax1) ).
thf(pax6,axiom,
( p6
=> ! [X98: a > complex,X99: real > a] :
( ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ X98 @ X99 ) )
= ( X98 @ ( fpath_pathfinish_a @ X99 ) ) ) ),
file('<stdin>',pax6) ).
thf(nax59,axiom,
( p59
<= ( ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ fpoinca1910941596x_of_a @ fc ) )
= ( fpath_p797330068omplex @ ( fcomp_a_complex_real @ fpoinca1910941596x_of_a @ fc ) ) ) ),
file('<stdin>',nax59) ).
thf(ax9,axiom,
~ p59,
file('<stdin>',ax9) ).
thf(ax59,axiom,
p9,
file('<stdin>',ax59) ).
thf(ax67,axiom,
p1,
file('<stdin>',ax67) ).
thf(ax62,axiom,
p6,
file('<stdin>',ax62) ).
thf(c_0_8,plain,
! [X378: a > complex,X379: real > a] :
( ~ p9
| ( ( fpath_p797330068omplex @ ( fcomp_a_complex_real @ X378 @ X379 ) )
= ( X378 @ ( fpath_pathstart_a @ X379 ) ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])]) ).
thf(c_0_9,plain,
( ~ p1
| ( ( fpath_pathfinish_a @ fc )
= ( fpath_pathstart_a @ fc ) ) ),
inference(fof_nnf,[status(thm)],[pax1]) ).
thf(c_0_10,plain,
! [X390: a > complex,X391: real > a] :
( ~ p6
| ( ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ X390 @ X391 ) )
= ( X390 @ ( fpath_pathfinish_a @ X391 ) ) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])]) ).
thf(c_0_11,plain,
( ( ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ fpoinca1910941596x_of_a @ fc ) )
!= ( fpath_p797330068omplex @ ( fcomp_a_complex_real @ fpoinca1910941596x_of_a @ fc ) ) )
| p59 ),
inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax59])]) ).
thf(c_0_12,plain,
~ p59,
inference(fof_simplification,[status(thm)],[ax9]) ).
thf(c_0_13,plain,
! [X6: a > complex,X1: real > a] :
( ( ( fpath_p797330068omplex @ ( fcomp_a_complex_real @ X6 @ X1 ) )
= ( X6 @ ( fpath_pathstart_a @ X1 ) ) )
| ~ p9 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_14,plain,
p9,
inference(split_conjunct,[status(thm)],[ax59]) ).
thf(c_0_15,plain,
( ( ( fpath_pathfinish_a @ fc )
= ( fpath_pathstart_a @ fc ) )
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_16,plain,
p1,
inference(split_conjunct,[status(thm)],[ax67]) ).
thf(c_0_17,plain,
! [X6: a > complex,X1: real > a] :
( ( ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ X6 @ X1 ) )
= ( X6 @ ( fpath_pathfinish_a @ X1 ) ) )
| ~ p6 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_18,plain,
p6,
inference(split_conjunct,[status(thm)],[ax62]) ).
thf(c_0_19,plain,
( p59
| ( ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ fpoinca1910941596x_of_a @ fc ) )
!= ( fpath_p797330068omplex @ ( fcomp_a_complex_real @ fpoinca1910941596x_of_a @ fc ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_20,plain,
~ p59,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_21,plain,
! [X6: a > complex,X1: real > a] :
( ( X6 @ ( fpath_pathstart_a @ X1 ) )
= ( fpath_p797330068omplex @ ( fcomp_a_complex_real @ X6 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
thf(c_0_22,plain,
( ( fpath_pathstart_a @ fc )
= ( fpath_pathfinish_a @ fc ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
thf(c_0_23,plain,
! [X6: a > complex,X1: real > a] :
( ( X6 @ ( fpath_pathfinish_a @ X1 ) )
= ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ X6 @ X1 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
thf(c_0_24,plain,
( fpath_p797330068omplex @ ( fcomp_a_complex_real @ fpoinca1910941596x_of_a @ fc ) )
!= ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ fpoinca1910941596x_of_a @ fc ) ),
inference(sr,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_25,plain,
! [X6: a > complex] :
( ( fpath_p797330068omplex @ ( fcomp_a_complex_real @ X6 @ fc ) )
= ( fpath_p769714271omplex @ ( fcomp_a_complex_real @ X6 @ fc ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
thf(c_0_26,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
[proof] ).
thf(1,plain,
$false,
inference(eprover,[status(thm),assumptions([h0])],]) ).
thf(0,theorem,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP148^1 : 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 : n017.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 : Fri Jun 3 23:54:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.47/2.66 % SZS status Theorem
% 2.47/2.66 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 2.47/2.66 % Inferences: 5
% 2.47/2.66 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------