TSTP Solution File: GEO219+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO219+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 : n028.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 16:09:19 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 13 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 54 ~; 38 |; 25 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 83 ( 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(unit_resulting_resolution,[],[f177,f96,f122,f103,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| unorthogonal_lines(X0,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X2,X1)
| ~ unorthogonal_lines(X2,X1)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X1,X0,X2] :
( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0,X2] :
( ( ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) )
& ( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ) )
=> ( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X5,X7,X6] :
( ( ( ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) )
& ( ~ convergent_lines(X5,X7)
| ~ unorthogonal_lines(X5,X7) ) )
=> ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
fof(f103,plain,
unorthogonal_lines(sK0,sK2),
inference(unit_resulting_resolution,[],[f78,f93]) ).
fof(f93,plain,
! [X0,X1] :
( orthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( orthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X1) )
& ( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( orthogonal_lines(X0,X1)
<=> ~ unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
fof(f78,plain,
~ orthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( parallel_lines(sK1,sK2)
& ~ orthogonal_lines(sK0,sK2)
& orthogonal_lines(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f65,f66]) ).
fof(f66,plain,
( ? [X0,X1,X2] :
( parallel_lines(X1,X2)
& ~ orthogonal_lines(X0,X2)
& orthogonal_lines(X1,X0) )
=> ( parallel_lines(sK1,sK2)
& ~ orthogonal_lines(sK0,sK2)
& orthogonal_lines(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0,X1,X2] :
( parallel_lines(X1,X2)
& ~ orthogonal_lines(X0,X2)
& orthogonal_lines(X1,X0) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
? [X0,X2,X1] :
( parallel_lines(X2,X1)
& ~ orthogonal_lines(X0,X1)
& orthogonal_lines(X2,X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X1,X0,X2] :
( ~ orthogonal_lines(X0,X1)
& orthogonal_lines(X2,X0)
& parallel_lines(X2,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X0,X2] :
( ( orthogonal_lines(X2,X0)
& parallel_lines(X2,X1) )
=> orthogonal_lines(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X6,X7,X5] :
( ( orthogonal_lines(X5,X6)
& parallel_lines(X5,X7) )
=> orthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X6,X7,X5] :
( ( orthogonal_lines(X5,X6)
& parallel_lines(X5,X7) )
=> orthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f122,plain,
convergent_lines(sK0,sK2),
inference(unit_resulting_resolution,[],[f108,f101,f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X2,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f101,plain,
convergent_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f100,f89]) ).
fof(f89,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
~ ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X5,X6] :
~ ( ~ unorthogonal_lines(X5,X6)
& ~ convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f100,plain,
~ unorthogonal_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f77,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ orthogonal_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f77,plain,
orthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f67]) ).
fof(f108,plain,
~ convergent_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f79,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) )
& ( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
<=> parallel_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f79,plain,
parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f67]) ).
fof(f96,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(f177,plain,
~ unorthogonal_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f100,f132,f108,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| convergent_lines(X0,X2)
| ~ convergent_lines(X2,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f132,plain,
convergent_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f96,f122,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : n028.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 21:39:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (15965)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)
% 0.20/0.52 % (15974)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)
% 0.20/0.52 % (15973)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)
% 0.20/0.52 % (15970)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)
% 0.20/0.52 % (15962)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)
% 0.20/0.52 % (15964)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)
% 0.20/0.52 % (15973)First to succeed.
% 0.20/0.52 % (15962)Instruction limit reached!
% 0.20/0.52 % (15962)------------------------------
% 0.20/0.52 % (15962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15982)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)
% 0.20/0.52 % (15962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15962)Termination reason: Unknown
% 0.20/0.52 % (15962)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (15962)Memory used [KB]: 1535
% 0.20/0.52 % (15962)Time elapsed: 0.007 s
% 0.20/0.52 % (15962)Instructions burned: 3 (million)
% 0.20/0.52 % (15962)------------------------------
% 0.20/0.52 % (15962)------------------------------
% 0.20/0.52 % (15974)Instruction limit reached!
% 0.20/0.52 % (15974)------------------------------
% 0.20/0.52 % (15974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15974)Termination reason: Unknown
% 0.20/0.52 % (15974)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (15974)Memory used [KB]: 6012
% 0.20/0.52 % (15974)Time elapsed: 0.076 s
% 0.20/0.52 % (15974)Instructions burned: 3 (million)
% 0.20/0.52 % (15974)------------------------------
% 0.20/0.52 % (15974)------------------------------
% 0.20/0.52 % (15982)Also succeeded, but the first one will report.
% 0.20/0.52 % (15980)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.52 % (15966)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)
% 0.20/0.53 % (15973)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (15973)------------------------------
% 0.20/0.53 % (15973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15973)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (15973)Memory used [KB]: 6012
% 0.20/0.53 % (15973)Time elapsed: 0.119 s
% 0.20/0.53 % (15973)Instructions burned: 6 (million)
% 0.20/0.53 % (15973)------------------------------
% 0.20/0.53 % (15973)------------------------------
% 0.20/0.53 % (15959)Success in time 0.177 s
%------------------------------------------------------------------------------