TSTP Solution File: GEO190+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO190+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 : n006.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 16:09:04 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 13 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 152 ( 52 ~; 51 |; 35 &)
% ( 0 <=>; 14 =>; 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 : 101 ( 89 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(subsumption_resolution,[],[f152,f86]) ).
fof(f86,plain,
distinct_lines(line_connecting(sK2,sK1),line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f58,f59,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| distinct_lines(X2,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0] :
( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1)
| ~ apart_point_and_line(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( apart_point_and_line(X2,X0)
=> ( apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X2,X0] :
( 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(f59,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& distinct_points(sK2,sK0)
& distinct_points(sK1,sK0)
& distinct_points(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f46,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X2,X0)
& distinct_points(X1,X0)
& distinct_points(X1,X2) )
=> ( apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& distinct_points(sK2,sK0)
& distinct_points(sK1,sK0)
& distinct_points(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1,X2] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X2,X0)
& distinct_points(X1,X0)
& distinct_points(X1,X2) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
? [X0,X2,X1] :
( apart_point_and_line(X0,line_connecting(X1,X2))
& ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0)
& distinct_points(X2,X0)
& distinct_points(X2,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X2,X0,X1] :
( apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X2,X0)
& distinct_points(X2,X1)
& ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X2,X0,X1] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1)
& ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0) )
=> ~ apart_point_and_line(X0,line_connecting(X1,X2)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f58,plain,
~ apart_point_and_line(sK0,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f48]) ).
fof(f152,plain,
~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f72,f71,f55,f88,f89,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X2,X3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
| ~ distinct_lines(X1,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X3) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1,X3] :
( apart_point_and_line(X1,X3)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X0)
| apart_point_and_line(X0,X3) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X3,X2] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X3,X2] :
( ( distinct_lines(X2,X3)
& distinct_points(X1,X0) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f89,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f74,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f74,plain,
distinct_points(sK2,sK1),
inference(unit_resulting_resolution,[],[f70,f55,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,X0)
| distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X2,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( distinct_points(X1,X0)
| distinct_points(X2,X0)
| ~ distinct_points(X2,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X2,X1,X0] :
( distinct_points(X2,X0)
| distinct_points(X1,X0)
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( distinct_points(X2,X1)
=> ( distinct_points(X2,X0)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f70,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(f88,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f74,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f55,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f71,plain,
~ apart_point_and_line(sK2,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f55,f69]) ).
fof(f72,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f55,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO190+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % 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 : n006.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 21:25:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (832)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)
% 0.18/0.49 % (840)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)
% 0.18/0.49 % (832)Instruction limit reached!
% 0.18/0.49 % (832)------------------------------
% 0.18/0.49 % (832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (832)Termination reason: Unknown
% 0.18/0.49 % (832)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (832)Memory used [KB]: 5884
% 0.18/0.49 % (832)Time elapsed: 0.052 s
% 0.18/0.49 % (832)Instructions burned: 3 (million)
% 0.18/0.49 % (832)------------------------------
% 0.18/0.49 % (832)------------------------------
% 0.18/0.50 % (824)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)
% 0.18/0.50 % (829)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 % (831)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (837)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)
% 0.18/0.52 % (845)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)
% 0.18/0.52 % (827)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)
% 0.18/0.52 % (822)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)
% 0.18/0.52 % (827)First to succeed.
% 0.18/0.52 % (830)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)
% 0.18/0.52 % (827)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (827)------------------------------
% 0.18/0.52 % (827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (827)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (827)Memory used [KB]: 6012
% 0.18/0.52 % (827)Time elapsed: 0.127 s
% 0.18/0.52 % (827)Instructions burned: 4 (million)
% 0.18/0.52 % (827)------------------------------
% 0.18/0.52 % (827)------------------------------
% 0.18/0.52 % (817)Success in time 0.18 s
%------------------------------------------------------------------------------