TSTP Solution File: GEO180+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO180+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 : n005.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 16:12:08 EDT 2022
% Result : Theorem 1.47s 0.56s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 89 ( 32 ~; 33 |; 12 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 96 ( 84 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f370,plain,
$false,
inference(resolution,[],[f353,f185]) ).
fof(f185,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(literal_reordering,[],[f140]) ).
fof(f140,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f353,plain,
! [X6] : convergent_lines(parallel_through_point(X6,sK0),line_connecting(sK2,sK1)),
inference(resolution,[],[f344,f188]) ).
fof(f188,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(literal_reordering,[],[f134]) ).
fof(f134,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f103]) ).
fof(f103,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/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f344,plain,
! [X8] :
( apart_point_and_line(sK0,X8)
| convergent_lines(X8,line_connecting(sK2,sK1)) ),
inference(resolution,[],[f262,f189]) ).
fof(f189,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(literal_reordering,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[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(f262,plain,
! [X0] :
( distinct_lines(X0,line_connecting(sK2,sK1))
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f225,f195]) ).
fof(f195,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(literal_reordering,[],[f168]) ).
fof(f168,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(f225,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| distinct_lines(line_connecting(sK2,sK1),X1)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f199,f220]) ).
fof(f220,plain,
! [X0] :
( distinct_lines(line_connecting(sK2,sK1),X0)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f174,f180]) ).
fof(f180,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(literal_reordering,[],[f160]) ).
fof(f160,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f120,f121]) ).
fof(f121,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) )
=> ( ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& apart_point_and_line(sK0,line_connecting(sK2,sK1))
& distinct_points(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
? [X1,X2,X0] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
& apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X0,X2,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
& apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X0,X2,X1] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> apart_point_and_line(X0,line_connecting(X1,X2)) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( 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,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( 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/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(literal_reordering,[],[f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X2,X1,X0] :
( apart_point_and_line(X2,X0)
| distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X2,X1,X0] :
( apart_point_and_line(X2,X1)
=> ( apart_point_and_line(X2,X0)
| distinct_lines(X1,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/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(literal_reordering,[],[f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ distinct_lines(X0,X2) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO180+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 : n005.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 21:24:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.52 % (15772)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)
% 0.19/0.52 % (15782)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (15774)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (15774)Instruction limit reached!
% 0.19/0.53 % (15774)------------------------------
% 0.19/0.53 % (15774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15771)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)
% 0.19/0.53 % (15780)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 % (15766)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)
% 0.19/0.53 % (15768)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)
% 0.19/0.53 % (15774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15774)Termination reason: Unknown
% 0.19/0.53 % (15774)Termination phase: Blocked clause elimination
% 0.19/0.53
% 0.19/0.53 % (15774)Memory used [KB]: 1023
% 0.19/0.53 % (15774)Time elapsed: 0.003 s
% 0.19/0.53 % (15774)Instructions burned: 3 (million)
% 0.19/0.53 % (15774)------------------------------
% 0.19/0.53 % (15774)------------------------------
% 0.19/0.53 % (15780)First to succeed.
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (15783)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (15788)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)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (15775)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)
% 0.19/0.54 % (15790)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (15769)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)
% 0.19/0.54 % (15784)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (15794)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (15779)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (15777)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)
% 1.47/0.55 % (15770)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.55 % (15785)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)
% 1.47/0.55 % (15793)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)
% 1.47/0.55 % (15791)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.55 % (15776)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.55 % (15789)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)
% 1.47/0.55 % (15795)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)
% 1.47/0.55 % (15767)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)
% 1.47/0.55 % (15787)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.56 TRYING [5]
% 1.47/0.56 % (15767)Refutation not found, incomplete strategy% (15767)------------------------------
% 1.47/0.56 % (15767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (15767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (15767)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.56
% 1.47/0.56 % (15767)Memory used [KB]: 5500
% 1.47/0.56 % (15767)Time elapsed: 0.119 s
% 1.47/0.56 % (15767)Instructions burned: 4 (million)
% 1.47/0.56 % (15767)------------------------------
% 1.47/0.56 % (15767)------------------------------
% 1.47/0.56 % (15792)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)
% 1.47/0.56 % (15773)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.56 % (15778)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.47/0.56 % (15780)Refutation found. Thanks to Tanya!
% 1.47/0.56 % SZS status Theorem for theBenchmark
% 1.47/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.56 % (15780)------------------------------
% 1.47/0.56 % (15780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (15780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (15780)Termination reason: Refutation
% 1.47/0.56
% 1.47/0.56 % (15780)Memory used [KB]: 5884
% 1.47/0.56 % (15780)Time elapsed: 0.009 s
% 1.47/0.56 % (15780)Instructions burned: 13 (million)
% 1.47/0.56 % (15780)------------------------------
% 1.47/0.56 % (15780)------------------------------
% 1.47/0.56 % (15765)Success in time 0.208 s
%------------------------------------------------------------------------------