TSTP Solution File: GEO188+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO188+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 : n016.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 16:09:03 EDT 2022
% Result : Theorem 1.44s 0.53s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 151 ( 45 ~; 56 |; 37 &)
% ( 0 <=>; 13 =>; 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(f133,plain,
$false,
inference(subsumption_resolution,[],[f130,f94]) ).
fof(f94,plain,
distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f45,f61,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X0)
| distinct_lines(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
=> ( distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f61,plain,
~ apart_point_and_line(sK1,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f51,f43,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ distinct_points(X2,X1)
| ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0,X2] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> ( distinct_points(X0,X1)
& distinct_points(X0,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f43,plain,
distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
& ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2)
& distinct_points(sK1,sK0)
& distinct_points(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f34,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X1,line_connecting(X0,X2))
& ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X1,X2)
& distinct_points(X1,X0)
& distinct_points(X2,X0) )
=> ( apart_point_and_line(sK1,line_connecting(sK0,sK2))
& ~ apart_point_and_line(sK0,line_connecting(sK1,sK2))
& distinct_points(sK1,sK2)
& distinct_points(sK1,sK0)
& distinct_points(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0,X1,X2] :
( apart_point_and_line(X1,line_connecting(X0,X2))
& ~ apart_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X1,X2)
& distinct_points(X1,X0)
& distinct_points(X2,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X2,X0,X1] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1)
& distinct_points(X0,X2)
& distinct_points(X1,X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X0,X2,X1] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X2,X1] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& distinct_points(X1,X2) )
=> ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X2,X1] :
( ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& distinct_points(X1,X2) )
=> ~ apart_point_and_line(X0,line_connecting(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f51,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(f45,plain,
apart_point_and_line(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f36]) ).
fof(f130,plain,
~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f62,f44,f41,f67,f69,f46]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X3,X0)
| apart_point_and_line(X3,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X1,X2)
| ~ distinct_points(X3,X0)
| apart_point_and_line(X0,X2) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X1,X3] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X0,X1)
| ~ distinct_points(X3,X2)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X1)
| ~ distinct_points(X3,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ( distinct_lines(X0,X1)
& distinct_points(X3,X2) )
=> ( apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f69,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f51,f56,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f56,plain,
distinct_points(sK0,sK2),
inference(unit_resulting_resolution,[],[f51,f41,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( ~ distinct_points(X0,X2)
| distinct_points(X2,X1)
| distinct_points(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X2,X1,X0] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X1,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/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f67,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f51,f56,f49]) ).
fof(f41,plain,
distinct_points(sK2,sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f44,plain,
~ apart_point_and_line(sK0,line_connecting(sK1,sK2)),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
~ apart_point_and_line(sK2,line_connecting(sK1,sK2)),
inference(unit_resulting_resolution,[],[f51,f43,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:48:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (3797)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)
% 0.19/0.47 % (3782)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)
% 0.19/0.48 % (3782)Instruction limit reached!
% 0.19/0.48 % (3782)------------------------------
% 0.19/0.48 % (3782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (3782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (3782)Termination reason: Unknown
% 0.19/0.49 % (3782)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (3782)Memory used [KB]: 1535
% 0.19/0.49 % (3782)Time elapsed: 0.075 s
% 0.19/0.49 % (3782)Instructions burned: 16 (million)
% 0.19/0.49 % (3782)------------------------------
% 0.19/0.49 % (3782)------------------------------
% 0.19/0.50 % (3797)Instruction limit reached!
% 0.19/0.50 % (3797)------------------------------
% 0.19/0.50 % (3797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (3797)Termination reason: Unknown
% 0.19/0.50 % (3797)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (3797)Memory used [KB]: 6140
% 0.19/0.50 % (3797)Time elapsed: 0.093 s
% 0.19/0.50 % (3797)Instructions burned: 25 (million)
% 0.19/0.50 % (3797)------------------------------
% 0.19/0.50 % (3797)------------------------------
% 0.19/0.50 % (3773)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)
% 0.19/0.51 % (3777)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (3770)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (3771)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)
% 0.19/0.52 % (3795)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)
% 0.19/0.52 % (3774)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)
% 0.19/0.52 % (3794)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)
% 0.19/0.52 % (3776)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)
% 0.19/0.52 % (3786)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)
% 0.19/0.52 % (3771)Instruction limit reached!
% 0.19/0.52 % (3771)------------------------------
% 0.19/0.52 % (3771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (3771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (3771)Termination reason: Unknown
% 0.19/0.52 % (3771)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (3771)Memory used [KB]: 6012
% 0.19/0.52 % (3771)Time elapsed: 0.132 s
% 0.19/0.52 % (3771)Instructions burned: 14 (million)
% 0.19/0.52 % (3771)------------------------------
% 0.19/0.52 % (3771)------------------------------
% 0.19/0.53 % (3798)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (3792)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)
% 0.19/0.53 % (3774)Instruction limit reached!
% 0.19/0.53 % (3774)------------------------------
% 0.19/0.53 % (3774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (3796)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (3773)First to succeed.
% 1.44/0.53 % (3775)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)
% 1.44/0.53 % (3787)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.53 % (3788)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)
% 1.44/0.53 TRYING [1]
% 1.44/0.53 TRYING [2]
% 1.44/0.53 % (3790)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)
% 1.44/0.53 % (3784)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)
% 1.44/0.53 % (3793)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)
% 1.44/0.53 % (3773)Refutation found. Thanks to Tanya!
% 1.44/0.53 % SZS status Theorem for theBenchmark
% 1.44/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.53 % (3773)------------------------------
% 1.44/0.53 % (3773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.53 % (3773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.53 % (3773)Termination reason: Refutation
% 1.44/0.53
% 1.44/0.53 % (3773)Memory used [KB]: 5884
% 1.44/0.53 % (3773)Time elapsed: 0.140 s
% 1.44/0.53 % (3773)Instructions burned: 5 (million)
% 1.44/0.53 % (3773)------------------------------
% 1.44/0.53 % (3773)------------------------------
% 1.44/0.53 % (3769)Success in time 0.183 s
%------------------------------------------------------------------------------