TSTP Solution File: GEO187+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO187+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 : n023.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 16:12:10 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 129 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 107 ( 31 ~; 44 |; 20 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 86 ( 78 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f295,f384]) ).
fof(f384,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| spl6_2 ),
inference(resolution,[],[f377,f109]) ).
fof(f109,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f377,plain,
( ! [X0] : convergent_lines(sF5,X0)
| spl6_2 ),
inference(resolution,[],[f328,f121]) ).
fof(f121,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,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(f328,plain,
( ! [X2,X3] :
( convergent_lines(parallel_through_point(X2,sK1),X3)
| convergent_lines(sF5,X3) )
| spl6_2 ),
inference(resolution,[],[f324,f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f324,plain,
( ! [X2] : convergent_lines(sF5,parallel_through_point(X2,sK1))
| spl6_2 ),
inference(resolution,[],[f312,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f312,plain,
( ! [X6] : distinct_lines(sF5,parallel_through_point(X6,sK1))
| spl6_2 ),
inference(resolution,[],[f299,f107]) ).
fof(f107,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f299,plain,
( ! [X1] :
( apart_point_and_line(sK1,X1)
| distinct_lines(sF5,X1) )
| spl6_2 ),
inference(resolution,[],[f297,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,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)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f297,plain,
( apart_point_and_line(sK1,sF5)
| spl6_2 ),
inference(resolution,[],[f165,f124]) ).
fof(f124,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
<=> incident_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f165,plain,
( ~ incident_point_and_line(sK1,sF5)
| spl6_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl6_2
<=> incident_point_and_line(sK1,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f295,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| spl6_1 ),
inference(resolution,[],[f288,f109]) ).
fof(f288,plain,
( ! [X0] : convergent_lines(sF5,X0)
| spl6_1 ),
inference(resolution,[],[f231,f121]) ).
fof(f231,plain,
( ! [X4,X5] :
( convergent_lines(parallel_through_point(X4,sK3),X5)
| convergent_lines(sF5,X5) )
| spl6_1 ),
inference(resolution,[],[f133,f219]) ).
fof(f219,plain,
( ! [X0] : convergent_lines(sF5,parallel_through_point(X0,sK3))
| spl6_1 ),
inference(resolution,[],[f216,f140]) ).
fof(f216,plain,
( ! [X4] : distinct_lines(sF5,parallel_through_point(X4,sK3))
| spl6_1 ),
inference(resolution,[],[f211,f107]) ).
fof(f211,plain,
( ! [X0] :
( apart_point_and_line(sK3,X0)
| distinct_lines(sF5,X0) )
| spl6_1 ),
inference(resolution,[],[f119,f170]) ).
fof(f170,plain,
( apart_point_and_line(sK3,sF5)
| spl6_1 ),
inference(resolution,[],[f124,f161]) ).
fof(f161,plain,
( ~ incident_point_and_line(sK3,sF5)
| spl6_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl6_1
<=> incident_point_and_line(sK3,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f166,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f157,f163,f159]) ).
fof(f157,plain,
( ~ incident_point_and_line(sK1,sF5)
| ~ incident_point_and_line(sK3,sF5) ),
inference(definition_folding,[],[f143,f156,f156]) ).
fof(f156,plain,
line_connecting(sK0,sK2) = sF5,
introduced(function_definition,[]) ).
fof(f143,plain,
( ~ incident_point_and_line(sK1,line_connecting(sK0,sK2))
| ~ incident_point_and_line(sK3,line_connecting(sK0,sK2)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
? [X1,X3,X0,X2] :
( distinct_points(X2,X3)
& ( ~ incident_point_and_line(X2,line_connecting(X1,X0))
| ~ incident_point_and_line(X3,line_connecting(X1,X0)) )
& incident_point_and_line(X1,line_connecting(X2,X3))
& incident_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X1,X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
? [X3,X0,X1,X2] :
( ( ~ incident_point_and_line(X2,line_connecting(X1,X0))
| ~ incident_point_and_line(X3,line_connecting(X1,X0)) )
& distinct_points(X2,X3)
& incident_point_and_line(X1,line_connecting(X2,X3))
& distinct_points(X1,X0)
& incident_point_and_line(X0,line_connecting(X2,X3)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
~ ! [X3,X0,X1,X2] :
( ( distinct_points(X2,X3)
& incident_point_and_line(X1,line_connecting(X2,X3))
& distinct_points(X1,X0)
& incident_point_and_line(X0,line_connecting(X2,X3)) )
=> ( incident_point_and_line(X2,line_connecting(X1,X0))
& incident_point_and_line(X3,line_connecting(X1,X0)) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0,X3,X4] :
( ( distinct_points(X0,X1)
& distinct_points(X3,X4)
& incident_point_and_line(X1,line_connecting(X3,X4))
& incident_point_and_line(X0,line_connecting(X3,X4)) )
=> ( incident_point_and_line(X4,line_connecting(X0,X1))
& incident_point_and_line(X3,line_connecting(X0,X1)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0,X3,X4] :
( ( distinct_points(X0,X1)
& distinct_points(X3,X4)
& incident_point_and_line(X1,line_connecting(X3,X4))
& incident_point_and_line(X0,line_connecting(X3,X4)) )
=> ( incident_point_and_line(X4,line_connecting(X0,X1))
& incident_point_and_line(X3,line_connecting(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.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 21:47:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (2877)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)
% 0.20/0.50 % (2885)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50 % (2869)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 % (2881)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (2868)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)
% 0.20/0.51 % (2866)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)
% 0.20/0.51 % (2888)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (2873)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (2879)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)
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (2867)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (2863)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)
% 0.20/0.51 % (2882)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)
% 0.20/0.51 TRYING [4]
% 0.20/0.52 % (2871)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (2871)Instruction limit reached!
% 0.20/0.52 % (2871)------------------------------
% 0.20/0.52 % (2871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (2871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (2871)Termination reason: Unknown
% 0.20/0.52 % (2871)Termination phase: Blocked clause elimination
% 0.20/0.52
% 0.20/0.52 % (2871)Memory used [KB]: 1023
% 0.20/0.52 % (2871)Time elapsed: 0.002 s
% 0.20/0.52 % (2871)Instructions burned: 3 (million)
% 0.20/0.52 % (2871)------------------------------
% 0.20/0.52 % (2871)------------------------------
% 0.20/0.52 % (2880)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (2870)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (2890)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)
% 0.20/0.52 % (2887)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 TRYING [5]
% 0.20/0.52 % (2883)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)
% 0.20/0.52 % (2874)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)
% 0.20/0.52 % (2891)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (2886)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)
% 0.20/0.52 % (2872)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)
% 0.20/0.52 % (2892)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)
% 0.20/0.52 % (2889)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 % (2874)First to succeed.
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (2865)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 TRYING [3]
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (2868)Also succeeded, but the first one will report.
% 0.20/0.53 % (2874)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (2874)------------------------------
% 0.20/0.53 % (2874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2874)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (2874)Memory used [KB]: 5628
% 0.20/0.53 % (2874)Time elapsed: 0.137 s
% 0.20/0.53 % (2874)Instructions burned: 10 (million)
% 0.20/0.53 % (2874)------------------------------
% 0.20/0.53 % (2874)------------------------------
% 0.20/0.53 % (2862)Success in time 0.184 s
%------------------------------------------------------------------------------