TSTP Solution File: GEO194+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO194+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 : n008.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 16:09:06 EDT 2022
% Result : Theorem 2.03s 0.63s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 16 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 114 ( 38 ~; 48 |; 14 &)
% ( 0 <=>; 14 =>; 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 : 92 ( 86 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,plain,
$false,
inference(unit_resulting_resolution,[],[f87,f50,f63,f82,f66,f150,f56]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X2,X3,X0] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| ~ distinct_lines(X2,X3) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X3,X0] :
( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X3,X0] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f150,plain,
distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK2)),
inference(unit_resulting_resolution,[],[f51,f79,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_points(X1,X0)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f79,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK2),
inference(unit_resulting_resolution,[],[f53,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( 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(f53,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
? [X1,X0,X2] :
( convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(intersection_point(X0,X2),X1)
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X0,X2),X1) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(X2,X1)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X0,X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f51,plain,
apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f28]) ).
fof(f66,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK1),
inference(unit_resulting_resolution,[],[f49,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f49,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f28]) ).
fof(f82,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK1),
inference(unit_resulting_resolution,[],[f53,f58]) ).
fof(f63,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK0),
inference(unit_resulting_resolution,[],[f49,f55]) ).
fof(f50,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f28]) ).
fof(f87,plain,
distinct_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f47,f64,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X1)
| ~ distinct_lines(X0,X2)
| distinct_lines(X0,X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
=> ( distinct_lines(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f64,plain,
distinct_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f59,f49,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f59,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(f47,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
% 0.11/0.12 % Problem : GEO194+1 : 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 : n008.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 21:30:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.58 % (25591)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)
% 0.19/0.59 % (25609)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)
% 1.80/0.60 % (25607)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)
% 1.80/0.60 % (25593)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)
% 1.80/0.60 % (25599)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)
% 1.80/0.60 % (25601)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)
% 1.80/0.61 % (25599)Instruction limit reached!
% 1.80/0.61 % (25599)------------------------------
% 1.80/0.61 % (25599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (25599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (25599)Termination reason: Unknown
% 1.80/0.61 % (25599)Termination phase: Saturation
% 1.80/0.61
% 1.80/0.61 % (25599)Memory used [KB]: 5884
% 1.80/0.61 % (25599)Time elapsed: 0.170 s
% 1.80/0.61 % (25599)Instructions burned: 3 (million)
% 1.80/0.61 % (25599)------------------------------
% 1.80/0.61 % (25599)------------------------------
% 2.03/0.62 % (25593)First to succeed.
% 2.03/0.63 % (25593)Refutation found. Thanks to Tanya!
% 2.03/0.63 % SZS status Theorem for theBenchmark
% 2.03/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.63 % (25593)------------------------------
% 2.03/0.63 % (25593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63 % (25593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63 % (25593)Termination reason: Refutation
% 2.03/0.63
% 2.03/0.63 % (25593)Memory used [KB]: 6012
% 2.03/0.63 % (25593)Time elapsed: 0.167 s
% 2.03/0.63 % (25593)Instructions burned: 13 (million)
% 2.03/0.63 % (25593)------------------------------
% 2.03/0.63 % (25593)------------------------------
% 2.03/0.63 % (25554)Success in time 0.268 s
%------------------------------------------------------------------------------