TSTP Solution File: GEO204+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO204+2 : 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 : n001.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 16:09:11 EDT 2022
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 9 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 166 ( 62 ~; 65 |; 25 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 74 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f125,plain,
$false,
inference(avatar_sat_refutation,[],[f69,f80,f124]) ).
fof(f124,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| ~ spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f117,f85]) ).
fof(f85,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f51,f67,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| distinct_points(X1,X0)
| ~ distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ distinct_points(X2,X0)
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( ~ distinct_points(X0,X2)
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ( distinct_points(X1,X2)
& distinct_points(X1,X0) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X0] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0) )
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X1,X0] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> ( distinct_points(X1,X2)
& distinct_points(X1,X0) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f67,plain,
( distinct_points(sK1,sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl3_2
<=> distinct_points(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f51,plain,
~ distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( distinct_points(sK1,sK0)
& ( distinct_lines(line_connecting(sK1,sK0),line_connecting(sK1,sK2))
| ~ distinct_points(sK1,sK2) )
& ~ distinct_points(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f41,f42]) ).
fof(f42,plain,
( ? [X0,X1,X2] :
( distinct_points(X1,X0)
& ( distinct_lines(line_connecting(X1,X0),line_connecting(X1,X2))
| ~ distinct_points(X1,X2) )
& ~ distinct_points(X0,X2) )
=> ( distinct_points(sK1,sK0)
& ( distinct_lines(line_connecting(sK1,sK0),line_connecting(sK1,sK2))
| ~ distinct_points(sK1,sK2) )
& ~ distinct_points(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0,X1,X2] :
( distinct_points(X1,X0)
& ( distinct_lines(line_connecting(X1,X0),line_connecting(X1,X2))
| ~ distinct_points(X1,X2) )
& ~ distinct_points(X0,X2) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X0,X2,X1] :
( distinct_points(X2,X0)
& ( distinct_lines(line_connecting(X2,X0),line_connecting(X2,X1))
| ~ distinct_points(X2,X1) )
& ~ distinct_points(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ( distinct_lines(line_connecting(X2,X0),line_connecting(X2,X1))
| ~ distinct_points(X2,X1) )
& distinct_points(X2,X0)
& ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& ~ distinct_points(X0,X1) )
=> ( distinct_points(X2,X1)
& ~ distinct_lines(line_connecting(X2,X0),line_connecting(X2,X1)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X2,X0] :
( ( distinct_points(X0,X1)
& ~ distinct_points(X1,X2) )
=> ( distinct_points(X0,X2)
& ~ distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X2,X0] :
( ( distinct_points(X0,X1)
& ~ distinct_points(X1,X2) )
=> ( distinct_points(X0,X2)
& ~ distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f117,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK2))
| ~ spl3_1
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f53,f78,f77,f64,f83,f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X2)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X3,X0,X2,X1] :
( apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X3,X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X3,X1,X2,X0] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X3,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X3,X1,X2,X0] :
( ( distinct_points(X3,X0)
& distinct_lines(X1,X2) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X3,X4,X0] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f83,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK2))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f49,f67,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f49,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f64,plain,
( distinct_lines(line_connecting(sK1,sK0),line_connecting(sK1,sK2))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl3_1
<=> distinct_lines(line_connecting(sK1,sK0),line_connecting(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f77,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK0)),
inference(unit_resulting_resolution,[],[f49,f53,f55]) ).
fof(f78,plain,
~ apart_point_and_line(sK0,line_connecting(sK1,sK0)),
inference(unit_resulting_resolution,[],[f49,f53,f56]) ).
fof(f53,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f80,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f74,f68]) ).
fof(f68,plain,
( ~ distinct_points(sK1,sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f74,plain,
distinct_points(sK1,sK2),
inference(unit_resulting_resolution,[],[f51,f53,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X2)
| distinct_points(X1,X0)
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ distinct_points(X0,X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X0] :
( distinct_points(X0,X2)
=> ( distinct_points(X0,X1)
| distinct_points(X2,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f69,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f52,f66,f62]) ).
fof(f52,plain,
( ~ distinct_points(sK1,sK2)
| distinct_lines(line_connecting(sK1,sK0),line_connecting(sK1,sK2)) ),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n001.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 21:59:30 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (734)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.48 % (748)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)
% 0.17/0.48 % (725)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48 % (747)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.48 % (725)First to succeed.
% 0.17/0.49 % (746)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.17/0.49 % (723)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.17/0.49 % (738)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.49 % (726)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.17/0.49 % (722)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.17/0.49 % (725)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (725)------------------------------
% 0.17/0.49 % (725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (725)Termination reason: Refutation
% 0.17/0.49
% 0.17/0.49 % (725)Memory used [KB]: 6012
% 0.17/0.49 % (725)Time elapsed: 0.095 s
% 0.17/0.49 % (725)Instructions burned: 3 (million)
% 0.17/0.49 % (725)------------------------------
% 0.17/0.49 % (725)------------------------------
% 0.17/0.49 % (721)Success in time 0.16 s
%------------------------------------------------------------------------------