TSTP Solution File: GEO224+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO224+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_uns --cores 0 -t %d %s
% Computer : n017.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 16:09:22 EDT 2022
% Result : Theorem 1.29s 0.52s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 14 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 96 ( 37 ~; 30 |; 18 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 89 ( 78 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(unit_resulting_resolution,[],[f124,f176,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f176,plain,
! [X0] : distinct_lines(parallel_through_point(X0,sK0),sK1),
inference(unit_resulting_resolution,[],[f159,f169,f141]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| distinct_lines(X2,X1)
| ~ distinct_lines(X0,X2) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X0,X2] :
( distinct_lines(X1,X0)
| distinct_lines(X2,X0)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X0)
| distinct_lines(X2,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X0)
| distinct_lines(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f169,plain,
! [X0] : distinct_lines(sK1,parallel_through_point(X0,sK0)),
inference(unit_resulting_resolution,[],[f126,f167,f142]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X0)
| ~ apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f167,plain,
apart_point_and_line(sK0,sK1),
inference(unit_resulting_resolution,[],[f166,f131]) ).
fof(f131,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f166,plain,
~ incident_point_and_line(sK0,sK1),
inference(unit_resulting_resolution,[],[f129,f130]) ).
fof(f130,plain,
! [X2] :
( ~ incident_point_and_line(X2,sK1)
| ~ point(X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,sK1) )
& point(sK0)
& line(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f106,f107]) ).
fof(f107,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,X1) )
& point(X0)
& line(X1) )
=> ( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,sK1) )
& point(sK0)
& line(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0,X1] :
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,X1) )
& point(X0)
& line(X1) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
? [X1,X0] :
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,X0) )
& point(X1)
& line(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X1,X0] :
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,X0) )
& point(X1)
& line(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X0] :
( ( point(X1)
& line(X0) )
=> ? [X2] :
( point(X2)
& incident_point_and_line(X2,X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0] :
( ( line(X1)
& point(X0) )
=> ? [X2] :
( point(X2)
& incident_point_and_line(X2,X1) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0] :
( ( line(X1)
& point(X0) )
=> ? [X2] :
( point(X2)
& incident_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f129,plain,
point(sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f126,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f159,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(f124,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 20:55:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % (18777)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)
% 0.21/0.50 % (18783)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)
% 0.21/0.50 % (18784)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.50 % (18784)Refutation not found, incomplete strategy% (18784)------------------------------
% 0.21/0.50 % (18784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (18784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (18784)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50 % (18784)Memory used [KB]: 5884
% 0.21/0.50 % (18784)Time elapsed: 0.001 s
% 0.21/0.50 % (18784)------------------------------
% 0.21/0.50 % (18784)------------------------------
% 0.21/0.50 % (18783)First to succeed.
% 0.21/0.51 % (18790)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)
% 0.21/0.51 % (18779)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)
% 0.21/0.51 % (18779)Refutation not found, incomplete strategy% (18779)------------------------------
% 0.21/0.51 % (18779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (18779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (18779)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (18779)Memory used [KB]: 1407
% 0.21/0.51 % (18779)Time elapsed: 0.002 s
% 0.21/0.51 % (18779)Instructions burned: 1 (million)
% 0.21/0.51 % (18779)------------------------------
% 0.21/0.51 % (18779)------------------------------
% 0.21/0.51 % (18776)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)
% 0.21/0.51 % (18776)Instruction limit reached!
% 0.21/0.51 % (18776)------------------------------
% 0.21/0.51 % (18776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (18776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (18776)Termination reason: Unknown
% 0.21/0.51 % (18776)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (18776)Memory used [KB]: 1535
% 0.21/0.51 % (18776)Time elapsed: 0.002 s
% 0.21/0.51 % (18776)Instructions burned: 3 (million)
% 0.21/0.51 % (18776)------------------------------
% 0.21/0.51 % (18776)------------------------------
% 0.21/0.52 % (18780)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)
% 0.21/0.52 % (18780)Refutation not found, incomplete strategy% (18780)------------------------------
% 0.21/0.52 % (18780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (18780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (18780)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (18780)Memory used [KB]: 5884
% 0.21/0.52 % (18780)Time elapsed: 0.001 s
% 0.21/0.52 % (18780)------------------------------
% 0.21/0.52 % (18780)------------------------------
% 1.29/0.52 % (18804)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.29/0.52 % (18790)Also succeeded, but the first one will report.
% 1.29/0.52 % (18793)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.52 % (18793)Instruction limit reached!
% 1.29/0.52 % (18793)------------------------------
% 1.29/0.52 % (18793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (18793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (18793)Termination reason: Unknown
% 1.29/0.52 % (18793)Termination phase: Saturation
% 1.29/0.52
% 1.29/0.52 % (18793)Memory used [KB]: 1407
% 1.29/0.52 % (18793)Time elapsed: 0.002 s
% 1.29/0.52 % (18793)Instructions burned: 2 (million)
% 1.29/0.52 % (18793)------------------------------
% 1.29/0.52 % (18793)------------------------------
% 1.29/0.52 % (18783)Refutation found. Thanks to Tanya!
% 1.29/0.52 % SZS status Theorem for theBenchmark
% 1.29/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52 % (18783)------------------------------
% 1.29/0.52 % (18783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (18783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (18783)Termination reason: Refutation
% 1.29/0.52
% 1.29/0.52 % (18783)Memory used [KB]: 6012
% 1.29/0.52 % (18783)Time elapsed: 0.099 s
% 1.29/0.52 % (18783)Instructions burned: 3 (million)
% 1.29/0.52 % (18783)------------------------------
% 1.29/0.52 % (18783)------------------------------
% 1.29/0.52 % (18773)Success in time 0.167 s
%------------------------------------------------------------------------------