TSTP Solution File: GEO199+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO199+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 : n011.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 16:09:09 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 19 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 178 ( 57 ~; 67 |; 37 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 128 ( 116 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194,plain,
$false,
inference(subsumption_resolution,[],[f189,f96]) ).
fof(f96,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK2),
inference(unit_resulting_resolution,[],[f56,f72,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ~ convergent_lines(X0,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X2)
| distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( distinct_points(X1,intersection_point(X0,X2))
| ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) )
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
=> ( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) )
=> distinct_points(X1,intersection_point(X0,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f72,plain,
convergent_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f55,f52,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f52,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( convergent_lines(sK2,sK0)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1)
& apart_point_and_line(intersection_point(sK1,sK2),sK0)
& ~ apart_point_and_line(intersection_point(sK2,sK1),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f40,f41]) ).
fof(f41,plain,
( ? [X0,X1,X2] :
( convergent_lines(X2,X0)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X1,X2),X0)
& ~ apart_point_and_line(intersection_point(X2,X1),X0) )
=> ( convergent_lines(sK2,sK0)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1)
& apart_point_and_line(intersection_point(sK1,sK2),sK0)
& ~ apart_point_and_line(intersection_point(sK2,sK1),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1,X2] :
( convergent_lines(X2,X0)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X1,X2),X0)
& ~ apart_point_and_line(intersection_point(X2,X1),X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X1,X0,X2] :
( convergent_lines(X2,X1)
& convergent_lines(X2,X0)
& convergent_lines(X1,X0)
& apart_point_and_line(intersection_point(X0,X2),X1)
& ~ apart_point_and_line(intersection_point(X2,X0),X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X2,X1] :
( apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X2,X0)
& ~ apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X1)
& convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X2,X1] :
( ( convergent_lines(X2,X0)
& ~ apart_point_and_line(intersection_point(X2,X0),X1)
& convergent_lines(X2,X1)
& convergent_lines(X1,X0) )
=> ~ apart_point_and_line(intersection_point(X0,X2),X1) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X1,X2,X0] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X1,X0),X2) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X1,X2,X0] :
( ( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X1,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f55,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(f56,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(f189,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK2),
inference(unit_resulting_resolution,[],[f89,f74,f75,f100,f95,f64]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X1)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X3,X1)
| apart_point_and_line(X0,X3) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X3,X1] :
( ~ distinct_points(X2,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X2,X1,X3,X0] :
( apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X2,X3)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X1,X3,X0] :
( ( distinct_points(X2,X3)
& distinct_lines(X1,X0) )
=> ( apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X3,X0,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f95,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK1),
inference(unit_resulting_resolution,[],[f56,f72,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X0,X2))
| ~ apart_point_and_line(X1,X0)
| ~ convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f100,plain,
distinct_points(intersection_point(sK1,sK2),intersection_point(sK2,sK1)),
inference(unit_resulting_resolution,[],[f49,f50,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f50,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f49,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK1),
inference(unit_resulting_resolution,[],[f56,f52,f61]) ).
fof(f74,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK2),
inference(unit_resulting_resolution,[],[f56,f52,f60]) ).
fof(f89,plain,
distinct_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f62,f71,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| distinct_lines(X2,X0)
| ~ distinct_lines(X1,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0,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(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f71,plain,
distinct_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f52,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f62,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO199+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
% 0.13/0.34 % Computer : n011.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 21:28:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (15448)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.48 % (15449)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.49 % (15449)Instruction limit reached!
% 0.20/0.49 % (15449)------------------------------
% 0.20/0.49 % (15449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (15471)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50 % (15457)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.50 % (15476)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.50 % (15450)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (15461)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (15450)Instruction limit reached!
% 0.20/0.50 % (15450)------------------------------
% 0.20/0.50 % (15450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (15450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15450)Termination reason: Unknown
% 0.20/0.50 % (15450)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (15460)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.50 % (15449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15449)Termination reason: Unknown
% 0.20/0.50 % (15449)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (15449)Memory used [KB]: 6012
% 0.20/0.50 % (15449)Time elapsed: 0.090 s
% 0.20/0.50 % (15449)Instructions burned: 14 (million)
% 0.20/0.50 % (15449)------------------------------
% 0.20/0.50 % (15449)------------------------------
% 0.20/0.50 % (15452)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (15470)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50 % (15459)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)
% 0.20/0.51 % (15457)First to succeed.
% 0.20/0.51 % (15476)Instruction limit reached!
% 0.20/0.51 % (15476)------------------------------
% 0.20/0.51 % (15476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15476)Termination reason: Unknown
% 0.20/0.51 % (15476)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (15476)Memory used [KB]: 6012
% 0.20/0.51 % (15476)Time elapsed: 0.112 s
% 0.20/0.51 % (15456)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)
% 0.20/0.51 % (15476)Instructions burned: 9 (million)
% 0.20/0.51 % (15476)------------------------------
% 0.20/0.51 % (15476)------------------------------
% 0.20/0.51 % (15453)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51 % (15463)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (15457)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (15457)------------------------------
% 0.20/0.51 % (15457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15457)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (15457)Memory used [KB]: 6012
% 0.20/0.51 % (15457)Time elapsed: 0.116 s
% 0.20/0.51 % (15457)Instructions burned: 7 (million)
% 0.20/0.51 % (15457)------------------------------
% 0.20/0.51 % (15457)------------------------------
% 0.20/0.51 % (15446)Success in time 0.163 s
%------------------------------------------------------------------------------