TSTP Solution File: GEO076-4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO076-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.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 : Wed Aug 31 16:11:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 34
% Syntax : Number of formulae : 114 ( 5 unt; 0 def)
% Number of atoms : 410 ( 104 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 518 ( 222 ~; 276 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 21 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f474,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f68,f213,f239,f241,f264,f285,f311,f325,f345,f358,f360,f365,f383,f388,f424,f443,f448,f460,f470,f472]) ).
fof(f472,plain,
( spl0_11
| spl0_18
| ~ spl0_1
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f462,f445,f306,f60,f302,f236]) ).
fof(f236,plain,
( spl0_11
<=> a_point = point_1_on_line(at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f302,plain,
( spl0_18
<=> on(point_1_on_line(at_least_one_line),at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f60,plain,
( spl0_1
<=> point(a_point) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f306,plain,
( spl0_19
<=> point(point_1_on_line(at_least_one_line)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f445,plain,
( spl0_31
<=> at_least_one_line = line_from_to(a_point,point_1_on_line(at_least_one_line)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f462,plain,
( ~ point(point_1_on_line(at_least_one_line))
| ~ point(a_point)
| on(point_1_on_line(at_least_one_line),at_least_one_line)
| a_point = point_1_on_line(at_least_one_line)
| ~ spl0_31 ),
inference(superposition,[],[f2,f447]) ).
fof(f447,plain,
( at_least_one_line = line_from_to(a_point,point_1_on_line(at_least_one_line))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f2,axiom,
! [X0,X1] :
( on(X1,line_from_to(X0,X1))
| X0 = X1
| ~ point(X0)
| ~ point(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1B) ).
fof(f470,plain,
( ~ spl0_22
| spl0_23
| ~ spl0_19
| spl0_29
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f468,f440,f436,f306,f355,f351]) ).
fof(f351,plain,
( spl0_22
<=> point(point_not_on_line(at_least_one_line)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f355,plain,
( spl0_23
<=> on(point_not_on_line(at_least_one_line),at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f436,plain,
( spl0_29
<=> point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f440,plain,
( spl0_30
<=> at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_1_on_line(at_least_one_line)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f468,plain,
( point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ point(point_1_on_line(at_least_one_line))
| on(point_not_on_line(at_least_one_line),at_least_one_line)
| ~ point(point_not_on_line(at_least_one_line))
| ~ spl0_30 ),
inference(superposition,[],[f1,f442]) ).
fof(f442,plain,
( at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_1_on_line(at_least_one_line))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f1,axiom,
! [X0,X1] :
( on(X0,line_from_to(X0,X1))
| ~ point(X1)
| X0 = X1
| ~ point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1A) ).
fof(f460,plain,
( ~ spl0_18
| spl0_23
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f454,f436,f355,f302]) ).
fof(f454,plain,
( ~ on(point_1_on_line(at_least_one_line),at_least_one_line)
| spl0_23
| ~ spl0_29 ),
inference(superposition,[],[f356,f438]) ).
fof(f438,plain,
( point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f356,plain,
( ~ on(point_not_on_line(at_least_one_line),at_least_one_line)
| spl0_23 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f448,plain,
( spl0_11
| spl0_31
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f434,f422,f445,f236]) ).
fof(f422,plain,
( spl0_28
<=> ! [X0] :
( point_1_on_line(at_least_one_line) = X0
| ~ point(X0)
| at_least_one_line = line_from_to(X0,point_1_on_line(at_least_one_line)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f434,plain,
( at_least_one_line = line_from_to(a_point,point_1_on_line(at_least_one_line))
| a_point = point_1_on_line(at_least_one_line)
| ~ spl0_28 ),
inference(resolution,[],[f423,f32]) ).
fof(f32,axiom,
point(a_point),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_point) ).
fof(f423,plain,
( ! [X0] :
( ~ point(X0)
| point_1_on_line(at_least_one_line) = X0
| at_least_one_line = line_from_to(X0,point_1_on_line(at_least_one_line)) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f443,plain,
( spl0_29
| spl0_30
| ~ spl0_22
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f430,f422,f351,f440,f436]) ).
fof(f430,plain,
( at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_1_on_line(at_least_one_line))
| point_1_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ spl0_22
| ~ spl0_28 ),
inference(resolution,[],[f423,f352]) ).
fof(f352,plain,
( point(point_not_on_line(at_least_one_line))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f424,plain,
( spl0_28
| spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f418,f64,f236,f422]) ).
fof(f64,plain,
( spl0_2
<=> ! [X16,X14,X15] :
( ~ on(X14,X15)
| ~ on(a_point,X16)
| ~ point(X14)
| ~ on(X14,X16)
| a_point = X14
| ~ line(X16)
| ~ line(X15)
| X15 = X16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f418,plain,
( ! [X0] :
( a_point = point_1_on_line(at_least_one_line)
| point_1_on_line(at_least_one_line) = X0
| at_least_one_line = line_from_to(X0,point_1_on_line(at_least_one_line))
| ~ point(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f417,f12]) ).
fof(f12,axiom,
line(at_least_one_line),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G4A) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ line(X0)
| a_point = point_1_on_line(X0)
| ~ point(X1)
| line_from_to(X1,point_1_on_line(X0)) = X0
| point_1_on_line(X0) = X1 )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f415]) ).
fof(f415,plain,
( ! [X0,X1] :
( line_from_to(X1,point_1_on_line(X0)) = X0
| point_1_on_line(X0) = X1
| ~ point(X1)
| ~ line(X0)
| ~ line(X0)
| a_point = point_1_on_line(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f199,f7]) ).
fof(f7,axiom,
! [X4] :
( point(point_1_on_line(X4))
| ~ line(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2C) ).
fof(f199,plain,
( ! [X0,X1] :
( ~ point(point_1_on_line(X1))
| ~ line(X1)
| line_from_to(X0,point_1_on_line(X1)) = X1
| a_point = point_1_on_line(X1)
| point_1_on_line(X1) = X0
| ~ point(X0) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f176,plain,
( ! [X0,X1] :
( ~ point(point_1_on_line(X1))
| point_1_on_line(X1) = X0
| a_point = point_1_on_line(X1)
| ~ line(X1)
| ~ point(X0)
| line_from_to(X0,point_1_on_line(X1)) = X1
| ~ line(X1) )
| ~ spl0_2 ),
inference(resolution,[],[f175,f5]) ).
fof(f5,axiom,
! [X4] :
( on(point_1_on_line(X4),X4)
| ~ line(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2A) ).
fof(f175,plain,
( ! [X2,X0,X1] :
( ~ on(X1,X2)
| ~ point(X0)
| ~ point(X1)
| line_from_to(X0,X1) = X2
| a_point = X1
| X0 = X1
| ~ line(X2) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f174,plain,
( ! [X2,X0,X1] :
( line_from_to(X0,X1) = X2
| X0 = X1
| ~ point(X1)
| ~ point(X1)
| a_point = X1
| ~ point(X0)
| X0 = X1
| ~ point(X0)
| ~ on(X1,X2)
| ~ line(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f116,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( line(line_from_to(X0,X1))
| X0 = X1
| ~ point(X1)
| ~ point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1C) ).
fof(f116,plain,
( ! [X21,X19,X20] :
( ~ line(line_from_to(X20,X21))
| line_from_to(X20,X21) = X19
| ~ point(X20)
| ~ on(X21,X19)
| a_point = X21
| X20 = X21
| ~ line(X19)
| ~ point(X21) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f102]) ).
fof(f102,plain,
( ! [X21,X19,X20] :
( ~ on(X21,X19)
| ~ line(line_from_to(X20,X21))
| X20 = X21
| ~ point(X21)
| a_point = X21
| ~ line(X19)
| line_from_to(X20,X21) = X19
| ~ point(X20)
| ~ point(X21) )
| ~ spl0_2 ),
inference(resolution,[],[f78,f2]) ).
fof(f78,plain,
( ! [X2,X0,X1] :
( ~ on(X0,X2)
| X1 = X2
| ~ line(X2)
| ~ on(X0,X1)
| ~ point(X0)
| ~ line(X1)
| a_point = X0 )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
( ! [X2,X0,X1] :
( ~ line(X1)
| a_point = X0
| ~ point(X0)
| ~ on(X0,X1)
| ~ line(X2)
| X1 = X2
| ~ on(X0,X2)
| ~ line(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f65,f33]) ).
fof(f33,axiom,
! [X9] :
( on(a_point,X9)
| ~ line(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_point_is_not_on_every_line) ).
fof(f65,plain,
( ! [X16,X14,X15] :
( ~ on(a_point,X16)
| ~ on(X14,X15)
| a_point = X14
| ~ line(X16)
| ~ on(X14,X16)
| ~ point(X14)
| X15 = X16
| ~ line(X15) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f388,plain,
( spl0_14
| spl0_17
| ~ spl0_15
| ~ spl0_19
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f298,f257,f306,f271,f280,f261]) ).
fof(f261,plain,
( spl0_14
<=> point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f280,plain,
( spl0_17
<=> on(point_2_on_line(at_least_one_line),at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f271,plain,
( spl0_15
<=> point(point_2_on_line(at_least_one_line)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f257,plain,
( spl0_13
<=> at_least_one_line = line_from_to(point_1_on_line(at_least_one_line),point_2_on_line(at_least_one_line)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f298,plain,
( ~ point(point_1_on_line(at_least_one_line))
| ~ point(point_2_on_line(at_least_one_line))
| on(point_2_on_line(at_least_one_line),at_least_one_line)
| point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line)
| ~ spl0_13 ),
inference(superposition,[],[f2,f259]) ).
fof(f259,plain,
( at_least_one_line = line_from_to(point_1_on_line(at_least_one_line),point_2_on_line(at_least_one_line))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f383,plain,
( ~ spl0_10
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f367,f355,f232]) ).
fof(f232,plain,
( spl0_10
<=> line(at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f367,plain,
( ~ line(at_least_one_line)
| ~ spl0_23 ),
inference(resolution,[],[f357,f10]) ).
fof(f10,axiom,
! [X4] :
( ~ on(point_not_on_line(X4),X4)
| ~ line(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G3A) ).
fof(f357,plain,
( on(point_not_on_line(at_least_one_line),at_least_one_line)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f365,plain,
( ~ spl0_17
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f363,f338,f232,f280]) ).
fof(f338,plain,
( spl0_20
<=> point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f363,plain,
( ~ line(at_least_one_line)
| ~ on(point_2_on_line(at_least_one_line),at_least_one_line)
| ~ spl0_20 ),
inference(superposition,[],[f10,f340]) ).
fof(f340,plain,
( point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f360,plain,
( ~ spl0_10
| spl0_22 ),
inference(avatar_split_clause,[],[f359,f351,f232]) ).
fof(f359,plain,
( ~ line(at_least_one_line)
| spl0_22 ),
inference(resolution,[],[f353,f11]) ).
fof(f11,axiom,
! [X4] :
( point(point_not_on_line(X4))
| ~ line(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G3B) ).
fof(f353,plain,
( ~ point(point_not_on_line(at_least_one_line))
| spl0_22 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f358,plain,
( ~ spl0_22
| spl0_23
| spl0_20
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f348,f342,f271,f338,f355,f351]) ).
fof(f342,plain,
( spl0_21
<=> at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f348,plain,
( ~ point(point_2_on_line(at_least_one_line))
| point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| on(point_not_on_line(at_least_one_line),at_least_one_line)
| ~ point(point_not_on_line(at_least_one_line))
| ~ spl0_21 ),
inference(superposition,[],[f1,f344]) ).
fof(f344,plain,
( at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f345,plain,
( spl0_20
| spl0_21
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f334,f211,f342,f338]) ).
fof(f211,plain,
( spl0_8
<=> ! [X0] :
( ~ point(X0)
| point_2_on_line(at_least_one_line) = X0
| at_least_one_line = line_from_to(X0,point_2_on_line(at_least_one_line)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f334,plain,
( at_least_one_line = line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))
| point_2_on_line(at_least_one_line) = point_not_on_line(at_least_one_line)
| ~ spl0_8 ),
inference(resolution,[],[f216,f12]) ).
fof(f216,plain,
( ! [X2] :
( ~ line(X2)
| at_least_one_line = line_from_to(point_not_on_line(X2),point_2_on_line(at_least_one_line))
| point_not_on_line(X2) = point_2_on_line(at_least_one_line) )
| ~ spl0_8 ),
inference(resolution,[],[f212,f11]) ).
fof(f212,plain,
( ! [X0] :
( ~ point(X0)
| point_2_on_line(at_least_one_line) = X0
| at_least_one_line = line_from_to(X0,point_2_on_line(at_least_one_line)) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f325,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f323,f261,f232]) ).
fof(f323,plain,
( ~ line(at_least_one_line)
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f320]) ).
fof(f320,plain,
( ~ line(at_least_one_line)
| point_1_on_line(at_least_one_line) != point_1_on_line(at_least_one_line)
| ~ spl0_14 ),
inference(superposition,[],[f9,f263]) ).
fof(f263,plain,
( point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f9,axiom,
! [X4] :
( point_1_on_line(X4) != point_2_on_line(X4)
| ~ line(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2E) ).
fof(f311,plain,
( ~ spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f310,f306,f232]) ).
fof(f310,plain,
( ~ line(at_least_one_line)
| spl0_19 ),
inference(resolution,[],[f308,f7]) ).
fof(f308,plain,
( ~ point(point_1_on_line(at_least_one_line))
| spl0_19 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f285,plain,
( ~ spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f284,f271,f232]) ).
fof(f284,plain,
( ~ line(at_least_one_line)
| spl0_15 ),
inference(resolution,[],[f273,f8]) ).
fof(f8,axiom,
! [X4] :
( point(point_2_on_line(X4))
| ~ line(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2D) ).
fof(f273,plain,
( ~ point(point_2_on_line(at_least_one_line))
| spl0_15 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f264,plain,
( spl0_13
| spl0_14
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f242,f211,f261,f257]) ).
fof(f242,plain,
( point_1_on_line(at_least_one_line) = point_2_on_line(at_least_one_line)
| at_least_one_line = line_from_to(point_1_on_line(at_least_one_line),point_2_on_line(at_least_one_line))
| ~ spl0_8 ),
inference(resolution,[],[f214,f12]) ).
fof(f214,plain,
( ! [X0] :
( ~ line(X0)
| point_2_on_line(at_least_one_line) = point_1_on_line(X0)
| at_least_one_line = line_from_to(point_1_on_line(X0),point_2_on_line(at_least_one_line)) )
| ~ spl0_8 ),
inference(resolution,[],[f212,f7]) ).
fof(f241,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f240,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f234,f12]) ).
fof(f234,plain,
( ~ line(at_least_one_line)
| spl0_10 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f239,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f228,f207,f236,f232]) ).
fof(f207,plain,
( spl0_7
<=> a_point = point_2_on_line(at_least_one_line) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f228,plain,
( a_point != point_1_on_line(at_least_one_line)
| ~ line(at_least_one_line)
| ~ spl0_7 ),
inference(superposition,[],[f9,f209]) ).
fof(f209,plain,
( a_point = point_2_on_line(at_least_one_line)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f213,plain,
( spl0_7
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f203,f64,f211,f207]) ).
fof(f203,plain,
( ! [X0] :
( ~ point(X0)
| at_least_one_line = line_from_to(X0,point_2_on_line(at_least_one_line))
| point_2_on_line(at_least_one_line) = X0
| a_point = point_2_on_line(at_least_one_line) )
| ~ spl0_2 ),
inference(resolution,[],[f202,f12]) ).
fof(f202,plain,
( ! [X0,X1] :
( ~ line(X1)
| point_2_on_line(X1) = X0
| ~ point(X0)
| line_from_to(X0,point_2_on_line(X1)) = X1
| a_point = point_2_on_line(X1) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,plain,
( ! [X0,X1] :
( a_point = point_2_on_line(X1)
| line_from_to(X0,point_2_on_line(X1)) = X1
| ~ line(X1)
| ~ point(X0)
| point_2_on_line(X1) = X0
| ~ line(X1) )
| ~ spl0_2 ),
inference(resolution,[],[f191,f8]) ).
fof(f191,plain,
( ! [X2,X3] :
( ~ point(point_2_on_line(X3))
| ~ point(X2)
| a_point = point_2_on_line(X3)
| point_2_on_line(X3) = X2
| line_from_to(X2,point_2_on_line(X3)) = X3
| ~ line(X3) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f177]) ).
fof(f177,plain,
( ! [X2,X3] :
( ~ line(X3)
| line_from_to(X2,point_2_on_line(X3)) = X3
| ~ line(X3)
| a_point = point_2_on_line(X3)
| point_2_on_line(X3) = X2
| ~ point(X2)
| ~ point(point_2_on_line(X3)) )
| ~ spl0_2 ),
inference(resolution,[],[f175,f6]) ).
fof(f6,axiom,
! [X4] :
( on(point_2_on_line(X4),X4)
| ~ line(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G2B) ).
fof(f68,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f62,f32]) ).
fof(f62,plain,
( ~ point(a_point)
| spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f66,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f52,f64,f60]) ).
fof(f52,plain,
! [X16,X14,X15] :
( ~ on(X14,X15)
| X15 = X16
| ~ line(X15)
| ~ point(a_point)
| ~ line(X16)
| a_point = X14
| ~ on(X14,X16)
| ~ point(X14)
| ~ on(a_point,X16) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
! [X16,X14,X15] :
( a_point = X14
| ~ line(X16)
| X15 = X16
| ~ on(X14,X15)
| ~ point(X14)
| ~ line(X15)
| ~ on(X14,X16)
| ~ on(a_point,X16)
| ~ point(a_point)
| ~ line(X15) ),
inference(resolution,[],[f4,f33]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ on(X1,X3)
| ~ on(X0,X3)
| ~ point(X0)
| X0 = X1
| ~ line(X3)
| ~ line(X2)
| ~ on(X1,X2)
| X2 = X3
| ~ point(X1)
| ~ on(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1D) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO076-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:10:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (13848)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (13857)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50 % (13859)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (13865)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51 % (13850)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (13844)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (13842)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (13856)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 TRYING [4]
% 0.20/0.51 % (13854)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (13866)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (13858)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (13845)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (13869)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (13847)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (13868)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (13846)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (13850)Instruction limit reached!
% 0.20/0.53 % (13850)------------------------------
% 0.20/0.53 % (13850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13849)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (13850)Termination reason: Unknown
% 0.20/0.53 % (13850)Termination phase: Saturation
% 0.20/0.53 % (13843)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53
% 0.20/0.53 % (13850)Memory used [KB]: 895
% 0.20/0.53 % (13850)Time elapsed: 0.004 s
% 0.20/0.53 % (13850)Instructions burned: 3 (million)
% 0.20/0.53 % (13850)------------------------------
% 0.20/0.53 % (13850)------------------------------
% 0.20/0.53 % (13843)Refutation not found, incomplete strategy% (13843)------------------------------
% 0.20/0.53 % (13843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13843)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (13843)Memory used [KB]: 5500
% 0.20/0.53 % (13843)Time elapsed: 0.136 s
% 0.20/0.53 % (13843)Instructions burned: 2 (million)
% 0.20/0.53 % (13843)------------------------------
% 0.20/0.53 % (13843)------------------------------
% 0.20/0.54 TRYING [5]
% 0.20/0.54 % (13870)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 TRYING [5]
% 0.20/0.54 % (13861)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (13860)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (13867)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (13862)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (13872)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (13852)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (13851)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (13871)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (13853)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (13864)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (13863)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 TRYING [5]
% 0.20/0.55 % (13848)Instruction limit reached!
% 0.20/0.55 % (13848)------------------------------
% 0.20/0.55 % (13848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13848)Termination reason: Unknown
% 0.20/0.55 % (13848)Termination phase: Finite model building constraint generation
% 0.20/0.55
% 0.20/0.55 % (13848)Memory used [KB]: 6908
% 0.20/0.55 % (13848)Time elapsed: 0.125 s
% 0.20/0.55 % (13848)Instructions burned: 51 (million)
% 0.20/0.55 % (13848)------------------------------
% 0.20/0.55 % (13848)------------------------------
% 0.20/0.56 % (13849)Instruction limit reached!
% 0.20/0.56 % (13849)------------------------------
% 0.20/0.56 % (13849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (13849)Termination reason: Unknown
% 0.20/0.56 % (13849)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (13849)Memory used [KB]: 5500
% 0.20/0.56 % (13849)Time elapsed: 0.126 s
% 0.20/0.56 % (13849)Instructions burned: 8 (million)
% 0.20/0.56 % (13849)------------------------------
% 0.20/0.56 % (13849)------------------------------
% 0.20/0.56 TRYING [4]
% 0.20/0.58 % (13857)Instruction limit reached!
% 0.20/0.58 % (13857)------------------------------
% 0.20/0.58 % (13857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13857)Termination reason: Unknown
% 0.20/0.58 % (13857)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (13857)Memory used [KB]: 6396
% 0.20/0.58 % (13857)Time elapsed: 0.045 s
% 0.20/0.58 % (13857)Instructions burned: 68 (million)
% 0.20/0.58 % (13857)------------------------------
% 0.20/0.58 % (13857)------------------------------
% 0.20/0.58 % (13853)First to succeed.
% 0.20/0.59 % (13854)Also succeeded, but the first one will report.
% 0.20/0.59 % (13844)Instruction limit reached!
% 0.20/0.59 % (13844)------------------------------
% 0.20/0.59 % (13844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13844)Termination reason: Unknown
% 0.20/0.59 % (13844)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (13844)Memory used [KB]: 1407
% 0.20/0.59 % (13844)Time elapsed: 0.191 s
% 0.20/0.59 % (13844)Instructions burned: 38 (million)
% 0.20/0.59 % (13844)------------------------------
% 0.20/0.59 % (13844)------------------------------
% 0.20/0.59 % (13853)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (13853)------------------------------
% 0.20/0.59 % (13853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13853)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (13853)Memory used [KB]: 5884
% 0.20/0.59 % (13853)Time elapsed: 0.189 s
% 0.20/0.59 % (13853)Instructions burned: 25 (million)
% 0.20/0.59 % (13853)------------------------------
% 0.20/0.59 % (13853)------------------------------
% 0.20/0.59 % (13838)Success in time 0.232 s
%------------------------------------------------------------------------------