TSTP Solution File: GEO200+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO200+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 : n005.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 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 10 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 153 ( 52 ~; 75 |; 11 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 75 ( 69 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f94,f101,f110,f117]) ).
fof(f117,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f115,f51]) ).
fof(f51,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(f115,plain,
( distinct_points(sK0,sK0)
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f111,f56]) ).
fof(f56,plain,
distinct_points(sK0,sK1),
inference(resolution,[],[f54,f51]) ).
fof(f54,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f49,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X0)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ distinct_points(X0,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X2,X1] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1] :
( 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(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f49,plain,
distinct_points(sK1,sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( distinct_points(sK1,sK0)
& distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f38,f39]) ).
fof(f39,plain,
( ? [X0,X1] :
( distinct_points(X1,X0)
& distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1)) )
=> ( distinct_points(sK1,sK0)
& distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0,X1] :
( distinct_points(X1,X0)
& distinct_lines(line_connecting(X1,X0),line_connecting(X0,X1)) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X1,X0] :
( distinct_points(X0,X1)
& distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X0] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f111,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK0,sK0)
| ~ spl2_4 ),
inference(resolution,[],[f81,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
| distinct_points(X1,X0)
| ~ distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ) ),
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,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f81,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl2_4
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f110,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f109,plain,
( $false
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f108,f49]) ).
fof(f108,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f105,f51]) ).
fof(f105,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK1,sK0)
| ~ spl2_5 ),
inference(resolution,[],[f85,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f85,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl2_5
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f101,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f99,f51]) ).
fof(f99,plain,
( distinct_points(sK1,sK1)
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f96,f56]) ).
fof(f96,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK1,sK1)
| ~ spl2_1 ),
inference(resolution,[],[f69,f43]) ).
fof(f69,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl2_1
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f94,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f93,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f92,f49]) ).
fof(f92,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f88,f51]) ).
fof(f88,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK1,sK0)
| ~ spl2_3 ),
inference(resolution,[],[f76,f44]) ).
fof(f76,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl2_3
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f87,plain,
( spl2_5
| spl2_1
| spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f63,f79,f74,f67,f83]) ).
fof(f63,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
inference(resolution,[],[f59,f49]) ).
fof(f59,plain,
! [X2,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X2,line_connecting(sK0,sK1))
| apart_point_and_line(X1,line_connecting(sK1,sK0))
| apart_point_and_line(X2,line_connecting(sK1,sK0))
| apart_point_and_line(X1,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f48,f47]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X3,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X3,X1)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X3,X2,X1,X0] :
( ~ distinct_points(X0,X2)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X1,X3)
| apart_point_and_line(X0,X3) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X3,X2,X1,X0] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X3)
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X3,X2,X1,X0] :
( ( distinct_lines(X1,X3)
& distinct_points(X0,X2) )
=> ( apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3,X1,X4] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( 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/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f48,plain,
distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO200+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n005.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 : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:30:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (6297)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.48 % (6289)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.49 % (6297)Instruction limit reached!
% 0.18/0.49 % (6297)------------------------------
% 0.18/0.49 % (6297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (6284)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)
% 0.18/0.49 % (6297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (6297)Termination reason: Unknown
% 0.18/0.49 % (6297)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (6297)Memory used [KB]: 5884
% 0.18/0.49 % (6297)Time elapsed: 0.095 s
% 0.18/0.49 % (6297)Instructions burned: 4 (million)
% 0.18/0.49 % (6297)------------------------------
% 0.18/0.49 % (6297)------------------------------
% 0.18/0.49 % (6311)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49 % (6305)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.50 % (6286)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)
% 0.18/0.50 % (6302)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.50 % (6306)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)
% 0.18/0.50 % (6284)First to succeed.
% 0.18/0.50 % (6294)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (6302)Refutation not found, incomplete strategy% (6302)------------------------------
% 0.18/0.50 % (6302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (6302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (6302)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (6302)Memory used [KB]: 5884
% 0.18/0.51 % (6302)Time elapsed: 0.120 s
% 0.18/0.51 % (6302)Instructions burned: 2 (million)
% 0.18/0.51 % (6302)------------------------------
% 0.18/0.51 % (6302)------------------------------
% 0.18/0.51 % (6308)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)
% 0.18/0.51 % (6285)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (6285)Refutation not found, incomplete strategy% (6285)------------------------------
% 0.18/0.51 % (6285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (6285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (6285)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (6285)Memory used [KB]: 5884
% 0.18/0.51 % (6285)Time elapsed: 0.112 s
% 0.18/0.51 % (6285)------------------------------
% 0.18/0.51 % (6285)------------------------------
% 0.18/0.51 % (6300)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (6298)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)
% 0.18/0.51 % (6303)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 % (6284)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (6284)------------------------------
% 0.18/0.51 % (6284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (6284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (6284)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (6284)Memory used [KB]: 5884
% 0.18/0.51 % (6284)Time elapsed: 0.104 s
% 0.18/0.51 % (6284)Instructions burned: 3 (million)
% 0.18/0.51 % (6284)------------------------------
% 0.18/0.51 % (6284)------------------------------
% 0.18/0.51 % (6278)Success in time 0.175 s
%------------------------------------------------------------------------------