TSTP Solution File: GEO192+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO192+2 : 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 : n014.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 16:09:05 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 11 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 120 ( 44 ~; 42 |; 17 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 61 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f115,f140]) ).
fof(f140,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f137,f129]) ).
fof(f129,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK0)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f56,f116,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X2)
=> ( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f116,plain,
( ~ distinct_lines(sK1,sK0)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f57,f62,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X2,X1] :
( distinct_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f62,plain,
( ~ distinct_lines(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_1
<=> distinct_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f57,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f56,plain,
apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK1)
& ( ~ distinct_lines(sK2,sK1)
| ~ distinct_lines(sK0,sK1) )
& convergent_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f41,f42]) ).
fof(f42,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X0,X2),X1)
& ( ~ distinct_lines(X2,X1)
| ~ distinct_lines(X0,X1) )
& convergent_lines(X0,X2) )
=> ( apart_point_and_line(intersection_point(sK0,sK2),sK1)
& ( ~ distinct_lines(sK2,sK1)
| ~ distinct_lines(sK0,sK1) )
& convergent_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X0,X2),X1)
& ( ~ distinct_lines(X2,X1)
| ~ distinct_lines(X0,X1) )
& convergent_lines(X0,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X1,X2,X0] :
( apart_point_and_line(intersection_point(X1,X0),X2)
& ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& convergent_lines(X1,X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X2,X1,X0] :
( ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& apart_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X2,X1,X0] :
( convergent_lines(X1,X0)
=> ( apart_point_and_line(intersection_point(X1,X0),X2)
=> ( distinct_lines(X1,X2)
& distinct_lines(X0,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X1,X2)
& distinct_lines(X0,X2) ) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X1,X2)
& distinct_lines(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f137,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK0),
inference(unit_resulting_resolution,[],[f54,f46,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X2,X1)
| distinct_points(X0,intersection_point(X2,X1)) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( distinct_points(X0,intersection_point(X2,X1))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X1,X0] :
( convergent_lines(X2,X1)
=> ( ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) )
=> distinct_points(X0,intersection_point(X2,X1)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f46,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(f54,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f115,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f114,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f112,f100]) ).
fof(f100,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK2)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f56,f84,f47]) ).
fof(f84,plain,
( ~ distinct_lines(sK1,sK2)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f57,f66,f48]) ).
fof(f66,plain,
( ~ distinct_lines(sK2,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl3_2
<=> distinct_lines(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f112,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK2),
inference(unit_resulting_resolution,[],[f54,f46,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f55,f64,f60]) ).
fof(f55,plain,
( ~ distinct_lines(sK2,sK1)
| ~ distinct_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO192+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:27:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.49 % (13319)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)
% 0.18/0.49 % (13314)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)
% 0.18/0.49 % (13314)Refutation not found, incomplete strategy% (13314)------------------------------
% 0.18/0.49 % (13314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (13339)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49 % (13314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (13314)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49
% 0.18/0.49 % (13314)Memory used [KB]: 5884
% 0.18/0.49 % (13314)Time elapsed: 0.094 s
% 0.18/0.49 % (13314)Instructions burned: 2 (million)
% 0.18/0.49 % (13314)------------------------------
% 0.18/0.49 % (13314)------------------------------
% 0.18/0.50 % (13317)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)
% 0.18/0.50 % (13322)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)
% 0.18/0.50 % (13311)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50 % (13331)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)
% 0.18/0.50 % (13328)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)
% 0.18/0.50 % (13322)First to succeed.
% 0.18/0.50 % (13326)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50 % (13331)Refutation not found, incomplete strategy% (13331)------------------------------
% 0.18/0.50 % (13331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (13331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (13331)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (13331)Memory used [KB]: 5884
% 0.18/0.50 % (13331)Time elapsed: 0.106 s
% 0.18/0.50 % (13331)Instructions burned: 2 (million)
% 0.18/0.50 % (13331)------------------------------
% 0.18/0.50 % (13331)------------------------------
% 0.18/0.50 % (13322)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (13322)------------------------------
% 0.18/0.50 % (13322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (13322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (13322)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (13322)Memory used [KB]: 5884
% 0.18/0.50 % (13322)Time elapsed: 0.111 s
% 0.18/0.50 % (13322)Instructions burned: 3 (million)
% 0.18/0.50 % (13322)------------------------------
% 0.18/0.50 % (13322)------------------------------
% 0.18/0.50 % (13307)Success in time 0.158 s
%------------------------------------------------------------------------------