TSTP Solution File: GEO200+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n010.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 16:09:09 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 10 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 49 ~; 62 |; 7 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 62 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f174,f179,f184,f189]) ).
fof(f189,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f185,f44]) ).
fof(f44,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1))
& distinct_points(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f36,f37]) ).
fof(f37,plain,
( ? [X0,X1] :
( distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1))
& distinct_points(X1,X0) )
=> ( distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1))
& distinct_points(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1] :
( distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1))
& distinct_points(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X1,X0] :
( distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f185,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_6 ),
inference(resolution,[],[f134,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f134,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl2_6
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f184,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f180,f54]) ).
fof(f54,plain,
distinct_points(sK0,sK1),
inference(resolution,[],[f53,f42]) ).
fof(f42,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f53,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f51,f44]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X2)
| distinct_points(X2,X0)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
| ~ distinct_points(X1,X2)
| distinct_points(X1,X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X2,X1,X0] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X1,X0] :
( distinct_points(X1,X2)
=> ( distinct_points(X2,X0)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f180,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_5 ),
inference(resolution,[],[f130,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f130,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl2_5
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f179,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f175,f54]) ).
fof(f175,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f115,f49]) ).
fof(f115,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl2_1
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f174,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f170,f44]) ).
fof(f170,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_3 ),
inference(resolution,[],[f122,f41]) ).
fof(f122,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl2_3
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f169,plain,
( spl2_5
| spl2_6
| spl2_3
| spl2_1 ),
inference(avatar_split_clause,[],[f101,f113,f120,f132,f128]) ).
fof(f101,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f81,f54]) ).
fof(f81,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X0,line_connecting(sK1,sK0))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X1,line_connecting(sK1,sK0))
| apart_point_and_line(X0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f43,f45]) ).
fof(f45,plain,
distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X0,X3)
| apart_point_and_line(X3,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X0,X3) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0,X3] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_points(X1,X3) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X3,X0,X2] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X3,X0,X2] :
( ( distinct_lines(X2,X0)
& distinct_points(X1,X3) )
=> ( apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X0,X3,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:23:29 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.50 % (26592)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.50 % (26584)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (26592)First to succeed.
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 % (26584)Instruction limit reached!
% 0.20/0.50 % (26584)------------------------------
% 0.20/0.50 % (26584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (26584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (26584)Termination reason: Unknown
% 0.20/0.50 % (26584)Termination phase: Finite model building constraint generation
% 0.20/0.50
% 0.20/0.50 % (26584)Memory used [KB]: 5884
% 0.20/0.50 % (26584)Time elapsed: 0.096 s
% 0.20/0.50 % (26584)Instructions burned: 3 (million)
% 0.20/0.50 % (26584)------------------------------
% 0.20/0.50 % (26584)------------------------------
% 0.20/0.51 % (26576)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (26592)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (26592)------------------------------
% 0.20/0.51 % (26592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (26592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (26592)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (26592)Memory used [KB]: 6012
% 0.20/0.51 % (26592)Time elapsed: 0.089 s
% 0.20/0.51 % (26592)Instructions burned: 6 (million)
% 0.20/0.51 % (26592)------------------------------
% 0.20/0.51 % (26592)------------------------------
% 0.20/0.51 % (26566)Success in time 0.153 s
%------------------------------------------------------------------------------