TSTP Solution File: GEO180+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO180+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 : n004.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 16:08:59 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 115 ( 37 ~; 44 |; 19 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f130,plain,
$false,
inference(subsumption_resolution,[],[f123,f103]) ).
fof(f103,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f42,f68,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f68,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f43,f60,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| distinct_points(X1,X2)
| ~ distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0) )
| ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( distinct_points(X1,X2)
=> ( apart_point_and_line(X0,line_connecting(X1,X2))
=> ( distinct_points(X0,X1)
& distinct_points(X0,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,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(f60,plain,
distinct_points(sK2,sK1),
inference(unit_resulting_resolution,[],[f40,f42,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| distinct_points(X1,X0)
| ~ distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f40,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X0,X1) )
=> ( apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
? [X2,X0,X1] :
( apart_point_and_line(X1,line_connecting(X2,X0))
& ~ apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X2,X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X1,X2,X0] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X1,X2,X0] :
( distinct_points(X2,X0)
=> ( apart_point_and_line(X1,line_connecting(X2,X0))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f43,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(f42,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f35]) ).
fof(f123,plain,
~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f53,f52,f40,f41,f69,f49]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X1)
| ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X2,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X2,X1,X3] :
( apart_point_and_line(X3,X2)
| ~ distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X3,X1,X2,X0] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X1,X3)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X3,X1,X2,X0] :
( ( distinct_points(X1,X3)
& distinct_lines(X0,X2) )
=> ( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X0,X4,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f69,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f43,f60,f45]) ).
fof(f41,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f35]) ).
fof(f52,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f43,f40,f46]) ).
fof(f53,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f43,f40,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO180+2 : 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
% 0.12/0.33 % Computer : n004.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 21:21:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (26050)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)
% 0.19/0.48 % (26041)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)
% 0.19/0.49 % (26035)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49 % (26038)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)
% 0.19/0.49 % (26036)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)
% 0.19/0.50 % (26058)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)
% 0.19/0.50 % (26054)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (26050)Instruction limit reached!
% 0.19/0.50 % (26050)------------------------------
% 0.19/0.50 % (26050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (26050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (26050)Termination reason: Unknown
% 0.19/0.50 % (26050)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (26050)Memory used [KB]: 5884
% 0.19/0.50 % (26050)Time elapsed: 0.103 s
% 0.19/0.50 % (26050)Instructions burned: 3 (million)
% 0.19/0.50 % (26050)------------------------------
% 0.19/0.50 % (26050)------------------------------
% 0.19/0.50 % (26037)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)
% 0.19/0.50 % (26059)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)
% 0.19/0.50 % (26052)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (26040)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (26051)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)
% 0.19/0.51 % (26037)Instruction limit reached!
% 0.19/0.51 % (26037)------------------------------
% 0.19/0.51 % (26037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26037)Termination reason: Unknown
% 0.19/0.51 % (26037)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (26037)Memory used [KB]: 5884
% 0.19/0.51 % (26037)Time elapsed: 0.120 s
% 0.19/0.51 % (26037)Instructions burned: 4 (million)
% 0.19/0.51 % (26037)------------------------------
% 0.19/0.51 % (26037)------------------------------
% 0.19/0.51 % (26054)Instruction limit reached!
% 0.19/0.51 % (26054)------------------------------
% 0.19/0.51 % (26054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26054)Termination reason: Unknown
% 0.19/0.51 % (26054)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (26054)Memory used [KB]: 5884
% 0.19/0.51 % (26054)Time elapsed: 0.123 s
% 0.19/0.51 % (26054)Instructions burned: 3 (million)
% 0.19/0.51 % (26054)------------------------------
% 0.19/0.51 % (26054)------------------------------
% 0.19/0.51 % (26061)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)
% 0.19/0.51 % (26039)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)
% 0.19/0.51 % (26057)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (26043)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (26036)Instruction limit reached!
% 0.19/0.52 % (26036)------------------------------
% 0.19/0.52 % (26036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26036)Termination reason: Unknown
% 0.19/0.52 % (26036)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26036)Memory used [KB]: 6012
% 0.19/0.52 % (26036)Time elapsed: 0.122 s
% 0.19/0.52 % (26036)Instructions burned: 13 (million)
% 0.19/0.52 % (26036)------------------------------
% 0.19/0.52 % (26036)------------------------------
% 0.19/0.52 % (26045)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (26038)First to succeed.
% 0.19/0.52 % (26039)Instruction limit reached!
% 0.19/0.52 % (26039)------------------------------
% 0.19/0.52 % (26039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26039)Termination reason: Unknown
% 0.19/0.52 % (26039)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26039)Memory used [KB]: 6012
% 0.19/0.52 % (26039)Time elapsed: 0.129 s
% 0.19/0.52 % (26039)Instructions burned: 15 (million)
% 0.19/0.52 % (26039)------------------------------
% 0.19/0.52 % (26039)------------------------------
% 0.19/0.52 % (26063)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)
% 0.19/0.52 % (26038)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (26038)------------------------------
% 0.19/0.52 % (26038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26038)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (26038)Memory used [KB]: 5884
% 0.19/0.52 % (26038)Time elapsed: 0.130 s
% 0.19/0.52 % (26038)Instructions burned: 5 (million)
% 0.19/0.52 % (26038)------------------------------
% 0.19/0.52 % (26038)------------------------------
% 0.19/0.52 % (26029)Success in time 0.175 s
%------------------------------------------------------------------------------