TSTP Solution File: GEO177+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n015.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 16:12:07 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 11 unt; 0 def)
% Number of atoms : 121 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 37 ~; 49 |; 11 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 82 ( 74 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f381,plain,
$false,
inference(avatar_sat_refutation,[],[f164,f295,f380]) ).
fof(f380,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| ~ spl6_1 ),
inference(resolution,[],[f373,f112]) ).
fof(f112,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f373,plain,
( ! [X0] : distinct_lines(sF5,X0)
| ~ spl6_1 ),
inference(resolution,[],[f356,f142]) ).
fof(f142,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f356,plain,
( ! [X4,X5] :
( convergent_lines(parallel_through_point(X5,sK3),X4)
| distinct_lines(sF5,X4) )
| ~ spl6_1 ),
inference(resolution,[],[f307,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f307,plain,
( ! [X0,X1] :
( distinct_lines(parallel_through_point(X0,sK3),X1)
| distinct_lines(sF5,X1) )
| ~ spl6_1 ),
inference(resolution,[],[f300,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X0)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X2,X0] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X0)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f300,plain,
( ! [X4] : distinct_lines(sF5,parallel_through_point(X4,sK3))
| ~ spl6_1 ),
inference(resolution,[],[f296,f146]) ).
fof(f146,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f296,plain,
( ! [X0] :
( apart_point_and_line(sK3,X0)
| distinct_lines(sF5,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f159,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X1,X0,X2] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0,X2] :
( apart_point_and_line(X1,X0)
=> ( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( 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(f159,plain,
( apart_point_and_line(sK3,sF5)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl6_1
<=> apart_point_and_line(sK3,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f295,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| ~ spl6_2 ),
inference(resolution,[],[f288,f112]) ).
fof(f288,plain,
( ! [X0] : distinct_lines(sF5,X0)
| ~ spl6_2 ),
inference(resolution,[],[f271,f142]) ).
fof(f271,plain,
( ! [X4,X5] :
( convergent_lines(parallel_through_point(X5,sK1),X4)
| distinct_lines(sF5,X4) )
| ~ spl6_2 ),
inference(resolution,[],[f238,f121]) ).
fof(f238,plain,
( ! [X0,X1] :
( distinct_lines(parallel_through_point(X0,sK1),X1)
| distinct_lines(sF5,X1) )
| ~ spl6_2 ),
inference(resolution,[],[f229,f110]) ).
fof(f229,plain,
( ! [X4] : distinct_lines(sF5,parallel_through_point(X4,sK1))
| ~ spl6_2 ),
inference(resolution,[],[f225,f146]) ).
fof(f225,plain,
( ! [X0] :
( apart_point_and_line(sK1,X0)
| distinct_lines(sF5,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f117,f163]) ).
fof(f163,plain,
( apart_point_and_line(sK1,sF5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl6_2
<=> apart_point_and_line(sK1,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f164,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f155,f161,f157]) ).
fof(f155,plain,
( apart_point_and_line(sK1,sF5)
| apart_point_and_line(sK3,sF5) ),
inference(definition_folding,[],[f122,f154,f154]) ).
fof(f154,plain,
sF5 = line_connecting(sK0,sK2),
introduced(function_definition,[]) ).
fof(f122,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK2))
| apart_point_and_line(sK1,line_connecting(sK0,sK2)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
? [X2,X3,X0,X1] :
( ( apart_point_and_line(X3,line_connecting(X2,X0))
| apart_point_and_line(X1,line_connecting(X2,X0)) )
& distinct_points(X2,X0)
& ~ apart_point_and_line(X0,line_connecting(X3,X1))
& distinct_points(X3,X1)
& ~ apart_point_and_line(X2,line_connecting(X3,X1)) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
? [X0,X3,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X3,X1))
& ~ apart_point_and_line(X2,line_connecting(X3,X1))
& ( apart_point_and_line(X3,line_connecting(X2,X0))
| apart_point_and_line(X1,line_connecting(X2,X0)) )
& distinct_points(X2,X0)
& distinct_points(X3,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ! [X0,X3,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X3,X1) )
=> ( ( apart_point_and_line(X3,line_connecting(X2,X0))
| apart_point_and_line(X1,line_connecting(X2,X0)) )
=> ( apart_point_and_line(X0,line_connecting(X3,X1))
| apart_point_and_line(X2,line_connecting(X3,X1)) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X4,X1,X3,X0] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X4,X1,X3,X0] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:36:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (32164)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (32186)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (32172)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (32181)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (32178)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (32162)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (32169)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (32173)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (32188)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (32160)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (32160)Refutation not found, incomplete strategy% (32160)------------------------------
% 0.20/0.53 % (32160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32185)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (32165)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (32159)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (32161)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (32162)First to succeed.
% 0.20/0.53 % (32177)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (32183)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (32170)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (32180)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53 % (32189)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (32174)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (32184)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (32187)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (32168)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (32179)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (32171)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (32176)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (32162)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (32162)------------------------------
% 0.20/0.54 % (32162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32162)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (32162)Memory used [KB]: 5628
% 0.20/0.54 % (32162)Time elapsed: 0.131 s
% 0.20/0.54 % (32162)Instructions burned: 10 (million)
% 0.20/0.54 % (32162)------------------------------
% 0.20/0.54 % (32162)------------------------------
% 0.20/0.54 % (32156)Success in time 0.186 s
%------------------------------------------------------------------------------