TSTP Solution File: GEO199+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO199+1 : 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 : n027.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 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 16 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 138 ( 48 ~; 56 |; 19 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 110 ( 104 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258,plain,
$false,
inference(unit_resulting_resolution,[],[f96,f65,f68,f91,f100,f103,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X3,X2,X1] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X2,X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X3,X2,X1,X0] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X3,X2,X1,X0] :
( ( distinct_lines(X2,X0)
& distinct_points(X1,X3) )
=> ( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X0,X3,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f103,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK2),
inference(unit_resulting_resolution,[],[f70,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f70,plain,
convergent_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f47,f59,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X0] :
( convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f59,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
? [X2,X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X0)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X2,X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X2,X0)
& convergent_lines(X1,X0)
& convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X2,X0,X1] :
( ( ~ apart_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X2,X0)
& convergent_lines(X1,X0)
& convergent_lines(X1,X2) )
=> ~ apart_point_and_line(intersection_point(X0,X1),X2) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0,X2] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2) )
=> ~ apart_point_and_line(intersection_point(X1,X0),X2) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0,X2] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2) )
=> ~ apart_point_and_line(intersection_point(X1,X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f47,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(f100,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK1),
inference(unit_resulting_resolution,[],[f70,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f91,plain,
distinct_points(intersection_point(sK1,sK2),intersection_point(sK2,sK1)),
inference(unit_resulting_resolution,[],[f60,f63,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X2,X0] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X2,X1,X0] :
( apart_point_and_line(X0,X2)
| distinct_points(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X2)
=> ( apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f63,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f60,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f68,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK1),
inference(unit_resulting_resolution,[],[f59,f56]) ).
fof(f65,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK2),
inference(unit_resulting_resolution,[],[f59,f54]) ).
fof(f96,plain,
distinct_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f51,f67,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X0)
| distinct_lines(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| ~ distinct_lines(X2,X0)
| distinct_lines(X2,X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X0)
=> ( distinct_lines(X0,X1)
| distinct_lines(X2,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f67,plain,
distinct_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f47,f59,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f51,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO199+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:44:45 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.45 % (15206)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)
% 0.18/0.46 % (15216)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)
% 0.18/0.47 % (15206)Instruction limit reached!
% 0.18/0.47 % (15206)------------------------------
% 0.18/0.47 % (15206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (15206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (15206)Termination reason: Unknown
% 0.18/0.47 % (15206)Termination phase: Saturation
% 0.18/0.47
% 0.18/0.47 % (15206)Memory used [KB]: 5884
% 0.18/0.47 % (15206)Time elapsed: 0.067 s
% 0.18/0.47 % (15206)Instructions burned: 14 (million)
% 0.18/0.47 % (15206)------------------------------
% 0.18/0.47 % (15206)------------------------------
% 0.18/0.47 % (15216)Instruction limit reached!
% 0.18/0.47 % (15216)------------------------------
% 0.18/0.47 % (15216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (15216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (15216)Termination reason: Unknown
% 0.18/0.47 % (15216)Termination phase: Saturation
% 0.18/0.47
% 0.18/0.47 % (15216)Memory used [KB]: 5884
% 0.18/0.47 % (15216)Time elapsed: 0.077 s
% 0.18/0.47 % (15216)Instructions burned: 4 (million)
% 0.18/0.47 % (15216)------------------------------
% 0.18/0.47 % (15216)------------------------------
% 0.18/0.48 % (15210)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)
% 0.18/0.48 % (15205)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 % (15202)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 % (15228)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (15210)First to succeed.
% 0.18/0.51 % (15210)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (15210)------------------------------
% 0.18/0.51 % (15210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (15210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (15210)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (15210)Memory used [KB]: 6012
% 0.18/0.51 % (15210)Time elapsed: 0.122 s
% 0.18/0.51 % (15210)Instructions burned: 9 (million)
% 0.18/0.51 % (15210)------------------------------
% 0.18/0.51 % (15210)------------------------------
% 0.18/0.51 % (15195)Success in time 0.166 s
%------------------------------------------------------------------------------