TSTP Solution File: GEO195+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO195+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 : n003.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 16:12:13 EDT 2022
% Result : Theorem 1.45s 0.55s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% Number of atoms : 109 ( 1 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 95 ( 28 ~; 25 |; 30 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 75 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f406,plain,
$false,
inference(resolution,[],[f401,f150]) ).
fof(f150,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f401,plain,
! [X0] : convergent_lines(sK1,X0),
inference(resolution,[],[f271,f144]) ).
fof(f144,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] : ~ 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/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f271,plain,
! [X2,X3] :
( convergent_lines(parallel_through_point(X2,sF3),X3)
| convergent_lines(sK1,X3) ),
inference(resolution,[],[f267,f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f267,plain,
! [X2] : convergent_lines(sK1,parallel_through_point(X2,sF3)),
inference(resolution,[],[f262,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f91]) ).
fof(f91,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/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f262,plain,
! [X6] : distinct_lines(sK1,parallel_through_point(X6,sF3)),
inference(resolution,[],[f250,f162]) ).
fof(f162,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f250,plain,
! [X0] :
( apart_point_and_line(sF3,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f172,f178]) ).
fof(f178,plain,
apart_point_and_line(sF3,sK1),
inference(definition_folding,[],[f165,f177]) ).
fof(f177,plain,
sF3 = intersection_point(sK0,sK2),
introduced(function_definition,[]) ).
fof(f165,plain,
apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& apart_point_and_line(intersection_point(sK0,sK2),sK1)
& convergent_lines(sK0,sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f119,f120]) ).
fof(f120,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X2,X0),X1) )
=> ( convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& apart_point_and_line(intersection_point(sK0,sK2),sK1)
& convergent_lines(sK0,sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X2,X0),X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X1,X0,X2] :
( convergent_lines(X0,X2)
& convergent_lines(X1,X2)
& apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X0)
& ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X2,X0,X1] :
( ~ apart_point_and_line(intersection_point(X2,X1),X0)
& apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2)
& convergent_lines(X1,X0)
& convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X2,X0,X1] :
( ( convergent_lines(X1,X2)
& convergent_lines(X1,X0)
& convergent_lines(X0,X2) )
=> ( apart_point_and_line(intersection_point(X1,X2),X0)
=> apart_point_and_line(intersection_point(X2,X1),X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X2,X0,X1] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X1,X0),X2) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X2,X0,X1] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X1,X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
| distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X0)
| distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| apart_point_and_line(X2,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( 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)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO195+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % 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 : n003.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 21:27:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (18832)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (18849)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (18833)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)
% 0.19/0.51 % (18841)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (18830)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)
% 0.19/0.52 % (18841)First to succeed.
% 0.19/0.52 % (18836)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (18836)Instruction limit reached!
% 0.19/0.52 % (18836)------------------------------
% 0.19/0.52 % (18836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18836)Termination reason: Unknown
% 0.19/0.52 % (18836)Termination phase: Blocked clause elimination
% 0.19/0.52
% 0.19/0.52 % (18836)Memory used [KB]: 1023
% 0.19/0.52 % (18836)Time elapsed: 0.002 s
% 0.19/0.52 % (18836)Instructions burned: 3 (million)
% 0.19/0.52 % (18836)------------------------------
% 0.19/0.52 % (18836)------------------------------
% 0.19/0.53 % (18842)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)
% 0.19/0.53 % (18851)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)
% 1.45/0.53 % (18834)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)
% 1.45/0.53 % (18838)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.53 % (18837)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)
% 1.45/0.54 % (18843)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)
% 1.45/0.54 % (18828)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)
% 1.45/0.54 % (18831)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)
% 1.45/0.54 % (18850)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)
% 1.45/0.54 % (18846)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54 % (18855)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)
% 1.45/0.54 TRYING [1]
% 1.45/0.54 TRYING [2]
% 1.45/0.54 % (18852)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.54 % (18835)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.55 % (18841)Refutation found. Thanks to Tanya!
% 1.45/0.55 % SZS status Theorem for theBenchmark
% 1.45/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.55 % (18841)------------------------------
% 1.45/0.55 % (18841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (18841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (18841)Termination reason: Refutation
% 1.45/0.55
% 1.45/0.55 % (18841)Memory used [KB]: 5628
% 1.45/0.55 % (18841)Time elapsed: 0.125 s
% 1.45/0.55 % (18841)Instructions burned: 16 (million)
% 1.45/0.55 % (18841)------------------------------
% 1.45/0.55 % (18841)------------------------------
% 1.45/0.55 % (18827)Success in time 0.196 s
%------------------------------------------------------------------------------