TSTP Solution File: GEO180+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO180+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 : n007.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 1.29s 0.54s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 142 ( 49 ~; 61 |; 14 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 117 ( 105 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f158,plain,
$false,
inference(subsumption_resolution,[],[f142,f129]) ).
fof(f129,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f60,f98,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X0)
| apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( apart_point_and_line(X2,X1)
=> ( distinct_lines(X1,X0)
| apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X1,X0] :
( 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(f98,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f91,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f91,plain,
distinct_points(sK2,sK1),
inference(unit_resulting_resolution,[],[f60,f73,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f73,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f61,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( 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/sandbox/benchmark/theBenchmark.p',ci2) ).
fof(f61,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK0,sK1)
& apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
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))
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK0,sK1)
& apart_point_and_line(sK2,line_connecting(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X1,X0,X2] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X1,X0)
& apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X2,X1,X0] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
& apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X2,X1,X0] :
( distinct_points(X1,X0)
=> ( apart_point_and_line(X2,line_connecting(X1,X0))
=> apart_point_and_line(X1,line_connecting(X2,X0)) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0,X2] :
( 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,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0,X2] :
( 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/sandbox/benchmark/theBenchmark.p',con) ).
fof(f60,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f48]) ).
fof(f142,plain,
~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f72,f73,f71,f62,f99,f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X3,X0)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X3,X2] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X2,X1)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X3,X0)
| apart_point_and_line(X3,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X2,X3,X1] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_points(X3,X0)
| ~ distinct_lines(X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X3,X1] :
( ( distinct_points(X3,X0)
& distinct_lines(X2,X1) )
=> ( apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X4,X3,X0] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f99,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f91,f57]) ).
fof(f62,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f48]) ).
fof(f71,plain,
distinct_points(sK1,sK0),
inference(unit_resulting_resolution,[],[f59,f61,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X0)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X0,X2,X1] :
( distinct_points(X0,X1)
| distinct_points(X2,X1)
| ~ distinct_points(X2,X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
=> ( distinct_points(X2,X1)
| distinct_points(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f59,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(f72,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f61,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO180+1 : 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
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:09:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (22410)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.29/0.52 % (22391)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)
% 1.29/0.52 % (22394)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)
% 1.29/0.52 % (22389)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)
% 1.29/0.53 % (22402)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)
% 1.29/0.53 % (22387)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)
% 1.29/0.53 % (22384)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)
% 1.29/0.53 % (22408)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)
% 1.29/0.53 % (22406)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)
% 1.29/0.53 % (22386)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)
% 1.29/0.53 % (22404)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)
% 1.29/0.53 % (22396)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)
% 1.29/0.53 % (22391)Instruction limit reached!
% 1.29/0.53 % (22391)------------------------------
% 1.29/0.53 % (22391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53 % (22391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53 % (22391)Termination reason: Unknown
% 1.29/0.53 % (22391)Termination phase: Saturation
% 1.29/0.53
% 1.29/0.53 % (22391)Memory used [KB]: 6012
% 1.29/0.53 % (22391)Time elapsed: 0.129 s
% 1.29/0.53 % (22391)Instructions burned: 13 (million)
% 1.29/0.53 % (22391)------------------------------
% 1.29/0.53 % (22391)------------------------------
% 1.29/0.53 % (22397)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)
% 1.29/0.53 % (22385)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)
% 1.29/0.54 % (22390)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)
% 1.29/0.54 % (22403)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)
% 1.29/0.54 % (22400)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)
% 1.29/0.54 % (22396)Instruction limit reached!
% 1.29/0.54 % (22396)------------------------------
% 1.29/0.54 % (22396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.54 % (22396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.54 % (22396)Termination reason: Unknown
% 1.29/0.54 % (22396)Termination phase: Saturation
% 1.29/0.54
% 1.29/0.54 % (22396)Memory used [KB]: 6012
% 1.29/0.54 % (22396)Time elapsed: 0.102 s
% 1.29/0.54 % (22396)Instructions burned: 9 (million)
% 1.29/0.54 % (22396)------------------------------
% 1.29/0.54 % (22396)------------------------------
% 1.29/0.54 % (22390)First to succeed.
% 1.29/0.54 % (22392)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)
% 1.29/0.54 % (22388)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)
% 1.29/0.54 % (22390)Refutation found. Thanks to Tanya!
% 1.29/0.54 % SZS status Theorem for theBenchmark
% 1.29/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.54 % (22390)------------------------------
% 1.29/0.54 % (22390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.54 % (22390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.54 % (22390)Termination reason: Refutation
% 1.29/0.54
% 1.29/0.54 % (22390)Memory used [KB]: 6012
% 1.29/0.54 % (22390)Time elapsed: 0.136 s
% 1.29/0.54 % (22390)Instructions burned: 6 (million)
% 1.29/0.54 % (22390)------------------------------
% 1.29/0.54 % (22390)------------------------------
% 1.29/0.54 % (22380)Success in time 0.186 s
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