TSTP Solution File: GEO231+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n020.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 16:09:25 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 109 ( 47 ~; 27 |; 27 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 63 ( 51 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(subsumption_resolution,[],[f129,f104]) ).
fof(f104,plain,
~ unequally_directed_lines(reverse_line(sK2),reverse_line(sK1)),
inference(unit_resulting_resolution,[],[f66,f50,f86,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,reverse_line(X2))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ( unequally_directed_lines(X0,X2)
& unequally_directed_lines(X0,reverse_line(X2)) )
| ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
| ~ unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X2,X1,X0] :
( ~ unequally_directed_lines(X2,reverse_line(X1))
| ( unequally_directed_lines(X2,X0)
& unequally_directed_lines(X2,reverse_line(X0)) )
| ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
| ~ unequally_directed_lines(X2,X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
| ( unequally_directed_lines(X2,X0)
& unequally_directed_lines(X2,reverse_line(X0)) )
| ~ unequally_directed_lines(X2,reverse_line(X1))
| ~ unequally_directed_lines(X2,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X2,reverse_line(X1))
& unequally_directed_lines(X2,X1) )
=> ( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
| ( unequally_directed_lines(X2,X0)
& unequally_directed_lines(X2,reverse_line(X0)) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X2,X1] :
( ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
=> ( ( unequally_directed_lines(X2,X5)
& unequally_directed_lines(X2,reverse_line(X5)) )
| ( unequally_directed_lines(X1,reverse_line(X5))
& unequally_directed_lines(X1,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag7) ).
fof(f86,plain,
~ unequally_directed_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f50,f53,f77,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f77,plain,
~ unequally_directed_lines(sK2,reverse_line(sK1)),
inference(unit_resulting_resolution,[],[f60,f64,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X2,X1)
| unequally_directed_lines(X1,X0)
| unequally_directed_lines(X2,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X2,X0)
| ~ unequally_directed_lines(X2,X1)
| unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X1,X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X2,X0] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X2,X0] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X2,X5)
| unequally_directed_lines(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag6) ).
fof(f64,plain,
~ unequally_directed_lines(reverse_line(sK1),sK0),
inference(unit_resulting_resolution,[],[f50,f51,f49]) ).
fof(f51,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( unequally_directed_lines(sK1,reverse_line(sK2))
& ~ unequally_directed_lines(sK0,sK2)
& ~ unequally_directed_lines(sK0,reverse_line(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) )
=> ( unequally_directed_lines(sK1,reverse_line(sK2))
& ~ unequally_directed_lines(sK0,sK2)
& ~ unequally_directed_lines(sK0,reverse_line(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
? [X2,X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X2,X1)
& ~ unequally_directed_lines(X2,reverse_line(X0)) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X1,X2,X0] :
( unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X2,reverse_line(X0))
& ~ unequally_directed_lines(X2,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X1,X2,X0] :
( ( ~ unequally_directed_lines(X2,reverse_line(X0))
& ~ unequally_directed_lines(X2,X1) )
=> ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X2,X5,X1] :
( ( ~ unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X1,X5) )
=> ~ unequally_directed_lines(X2,reverse_line(X5)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X2,X5,X1] :
( ( ~ unequally_directed_lines(X1,reverse_line(X2))
& ~ unequally_directed_lines(X1,X5) )
=> ~ unequally_directed_lines(X2,reverse_line(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f60,plain,
~ unequally_directed_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f50,f52,f49]) ).
fof(f52,plain,
~ unequally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f53,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f47]) ).
fof(f50,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).
fof(f66,plain,
unequally_directed_lines(reverse_line(sK2),sK1),
inference(unit_resulting_resolution,[],[f50,f53,f49]) ).
fof(f129,plain,
unequally_directed_lines(reverse_line(sK2),reverse_line(sK1)),
inference(unit_resulting_resolution,[],[f77,f94,f49]) ).
fof(f94,plain,
unequally_directed_lines(reverse_line(sK2),sK2),
inference(unit_resulting_resolution,[],[f53,f86,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:34:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (23348)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)
% 0.20/0.53 % (23347)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)
% 0.20/0.54 % (23364)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)
% 0.20/0.54 % (23348)Instruction limit reached!
% 0.20/0.54 % (23348)------------------------------
% 0.20/0.54 % (23348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23348)Termination reason: Unknown
% 0.20/0.54 % (23348)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (23348)Memory used [KB]: 6012
% 0.20/0.54 % (23348)Time elapsed: 0.004 s
% 0.20/0.54 % (23348)Instructions burned: 3 (million)
% 0.20/0.54 % (23348)------------------------------
% 0.20/0.54 % (23348)------------------------------
% 0.20/0.54 % (23364)Instruction limit reached!
% 0.20/0.54 % (23364)------------------------------
% 0.20/0.54 % (23364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23364)Termination reason: Unknown
% 0.20/0.54 % (23364)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (23364)Memory used [KB]: 5884
% 0.20/0.54 % (23364)Time elapsed: 0.003 s
% 0.20/0.54 % (23364)Instructions burned: 2 (million)
% 0.20/0.54 % (23364)------------------------------
% 0.20/0.54 % (23364)------------------------------
% 0.20/0.54 % (23373)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (23351)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)
% 0.20/0.54 % (23356)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)
% 0.20/0.55 % (23347)Instruction limit reached!
% 0.20/0.55 % (23347)------------------------------
% 0.20/0.55 % (23347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (23356)Instruction limit reached!
% 0.20/0.55 % (23356)------------------------------
% 0.20/0.55 % (23356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (23356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (23356)Termination reason: Unknown
% 0.20/0.55 % (23356)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (23356)Memory used [KB]: 6012
% 0.20/0.55 % (23356)Time elapsed: 0.128 s
% 0.20/0.55 % (23356)Instructions burned: 12 (million)
% 0.20/0.55 % (23356)------------------------------
% 0.20/0.55 % (23356)------------------------------
% 0.20/0.55 % (23355)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)
% 0.20/0.55 % (23349)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)
% 0.20/0.55 % (23347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (23347)Termination reason: Unknown
% 0.20/0.55 % (23347)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (23347)Memory used [KB]: 6140
% 0.20/0.55 % (23347)Time elapsed: 0.128 s
% 0.20/0.55 % (23347)Instructions burned: 13 (million)
% 0.20/0.55 % (23347)------------------------------
% 0.20/0.55 % (23347)------------------------------
% 0.20/0.55 % (23346)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.56 % (23355)First to succeed.
% 0.20/0.56 % (23359)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)
% 0.20/0.56 % (23355)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (23355)------------------------------
% 0.20/0.56 % (23355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (23355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (23355)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (23355)Memory used [KB]: 6012
% 0.20/0.56 % (23355)Time elapsed: 0.141 s
% 0.20/0.56 % (23355)Instructions burned: 5 (million)
% 0.20/0.56 % (23355)------------------------------
% 0.20/0.56 % (23355)------------------------------
% 0.20/0.56 % (23345)Success in time 0.202 s
%------------------------------------------------------------------------------