TSTP Solution File: GEO231+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO231+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 : n022.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 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 16 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 96 ( 39 ~; 32 |; 10 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 82 ( 76 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f266,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f265]) ).
fof(f265,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f252,f196]) ).
fof(f196,plain,
( ~ unequally_directed_lines(sK0,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl3_2
<=> unequally_directed_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f252,plain,
unequally_directed_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f162,f233,f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X2,X0)
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X2,X1,X0] :
( unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,X2)
| unequally_directed_lines(X2,X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X2,X1] :
( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X2,X0)
| ~ unequally_directed_lines(X1,X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X2,X1] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X1,X0)
| unequally_directed_lines(X2,X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X7,X3,X4] :
( unequally_directed_lines(X3,X4)
=> ( unequally_directed_lines(X4,X7)
| unequally_directed_lines(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6_basics) ).
fof(f233,plain,
unequally_directed_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f173,f130]) ).
fof(f130,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] :
( unequally_directed_lines(X3,X4)
| unequally_directed_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f173,plain,
~ unequally_directed_lines(sK2,reverse_line(sK0)),
inference(unit_resulting_resolution,[],[f164,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| unequally_directed_opposite_lines(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( unequally_directed_opposite_lines(X1,X0)
<=> unequally_directed_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_defns) ).
fof(f164,plain,
~ unequally_directed_opposite_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f139,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ~ equally_directed_opposite_lines(X1,X0)
| ~ unequally_directed_opposite_lines(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( equally_directed_opposite_lines(X1,X0)
<=> ~ unequally_directed_opposite_lines(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ~ unequally_directed_opposite_lines(X0,X1)
<=> equally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_defns) ).
fof(f139,plain,
equally_directed_opposite_lines(sK2,sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
? [X1,X0,X2] :
( equally_directed_opposite_lines(X2,X1)
& equally_directed_lines(X2,X0)
& ~ equally_directed_opposite_lines(X1,X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
? [X0,X2,X1] :
( ~ equally_directed_opposite_lines(X1,X0)
& equally_directed_lines(X2,X0)
& equally_directed_opposite_lines(X2,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X2,X1] :
( ( equally_directed_lines(X2,X0)
& equally_directed_opposite_lines(X2,X1) )
=> equally_directed_opposite_lines(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X7,X4,X3] :
( ( equally_directed_lines(X3,X7)
& equally_directed_opposite_lines(X3,X4) )
=> equally_directed_opposite_lines(X4,X7) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X7,X4,X3] :
( ( equally_directed_lines(X3,X7)
& equally_directed_opposite_lines(X3,X4) )
=> equally_directed_opposite_lines(X4,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f162,plain,
~ unequally_directed_lines(sK2,sK1),
inference(unit_resulting_resolution,[],[f138,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ~ equally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| ~ equally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( equally_directed_lines(X1,X0)
=> ~ unequally_directed_lines(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( equally_directed_lines(X1,X0)
<=> ~ unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ~ unequally_directed_lines(X0,X1)
<=> equally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_defns) ).
fof(f138,plain,
equally_directed_lines(sK2,sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f242,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f178,f194]) ).
fof(f178,plain,
~ unequally_directed_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f132,f131,f166,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
=> ( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X3] :
( ( unequally_directed_lines(X3,X4)
& unequally_directed_lines(X3,reverse_line(X4)) )
=> ( left_convergent_lines(X3,X4)
| left_convergent_lines(X3,reverse_line(X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9_basics) ).
fof(f166,plain,
unequally_directed_lines(sK0,reverse_line(sK1)),
inference(unit_resulting_resolution,[],[f160,f149]) ).
fof(f149,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_opposite_lines(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f160,plain,
unequally_directed_opposite_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f137,f128]) ).
fof(f128,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X1,X0)
| unequally_directed_opposite_lines(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f137,plain,
~ equally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f131,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11_basics) ).
fof(f132,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % 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 : n022.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 21:33:26 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (11640)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)
% 0.20/0.49 % (11648)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49 % (11639)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (11648)Refutation not found, incomplete strategy% (11648)------------------------------
% 0.20/0.49 % (11648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11647)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.49 % (11639)Instruction limit reached!
% 0.20/0.49 % (11639)------------------------------
% 0.20/0.49 % (11639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11639)Termination reason: Unknown
% 0.20/0.49 % (11639)Termination phase: Finite model building preprocessing
% 0.20/0.49
% 0.20/0.49 % (11639)Memory used [KB]: 1535
% 0.20/0.49 % (11639)Time elapsed: 0.004 s
% 0.20/0.49 % (11639)Instructions burned: 3 (million)
% 0.20/0.49 % (11639)------------------------------
% 0.20/0.49 % (11639)------------------------------
% 0.20/0.49 % (11640)Instruction limit reached!
% 0.20/0.49 % (11640)------------------------------
% 0.20/0.49 % (11640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11648)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (11648)Memory used [KB]: 6012
% 0.20/0.49 % (11648)Time elapsed: 0.092 s
% 0.20/0.49 % (11648)Instructions burned: 3 (million)
% 0.20/0.49 % (11648)------------------------------
% 0.20/0.49 % (11648)------------------------------
% 0.20/0.49 % (11640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11640)Termination reason: Unknown
% 0.20/0.49 % (11640)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (11640)Memory used [KB]: 6012
% 0.20/0.49 % (11640)Time elapsed: 0.090 s
% 0.20/0.49 % (11640)Instructions burned: 3 (million)
% 0.20/0.49 % (11640)------------------------------
% 0.20/0.49 % (11640)------------------------------
% 0.20/0.50 % (11646)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)
% 0.20/0.51 % (11628)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)
% 0.20/0.51 % (11624)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)
% 0.20/0.51 % (11624)Instruction limit reached!
% 0.20/0.51 % (11624)------------------------------
% 0.20/0.51 % (11624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (11624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (11624)Termination reason: Unknown
% 0.20/0.51 % (11624)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (11624)Memory used [KB]: 6012
% 0.20/0.51 % (11624)Time elapsed: 0.002 s
% 0.20/0.51 % (11624)Instructions burned: 3 (million)
% 0.20/0.51 % (11624)------------------------------
% 0.20/0.51 % (11624)------------------------------
% 0.20/0.52 % (11638)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)
% 0.20/0.52 % (11627)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 % (11638)Refutation not found, incomplete strategy% (11638)------------------------------
% 0.20/0.52 % (11638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (11638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (11638)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (11638)Memory used [KB]: 6012
% 0.20/0.52 % (11638)Time elapsed: 0.116 s
% 0.20/0.52 % (11638)Instructions burned: 4 (million)
% 0.20/0.52 % (11638)------------------------------
% 0.20/0.52 % (11638)------------------------------
% 0.20/0.52 % (11630)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)
% 0.20/0.52 % (11626)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)
% 0.20/0.53 % (11622)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (11642)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)
% 0.20/0.53 % (11643)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (11643)Refutation not found, incomplete strategy% (11643)------------------------------
% 0.20/0.53 % (11643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (11643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11643)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (11643)Memory used [KB]: 5884
% 0.20/0.53 % (11643)Time elapsed: 0.127 s
% 0.20/0.53 % (11643)Instructions burned: 1 (million)
% 0.20/0.53 % (11643)------------------------------
% 0.20/0.53 % (11643)------------------------------
% 0.20/0.53 % (11630)First to succeed.
% 0.20/0.53 % (11635)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)
% 0.20/0.53 % (11630)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 % (11630)------------------------------
% 0.20/0.53 % (11630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (11630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11630)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (11630)Memory used [KB]: 6012
% 0.20/0.53 % (11630)Time elapsed: 0.122 s
% 0.20/0.53 % (11630)Instructions burned: 5 (million)
% 0.20/0.53 % (11630)------------------------------
% 0.20/0.53 % (11630)------------------------------
% 0.20/0.53 % (11621)Success in time 0.18 s
%------------------------------------------------------------------------------