TSTP Solution File: GEO010-3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO010-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n011.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 16:07:29 EDT 2022
% Result : Unsatisfiable 1.33s 0.54s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 74 ( 2 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 167 ( 70 ~; 89 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f300,plain,
$false,
inference(avatar_sat_refutation,[],[f128,f142,f192,f206,f208,f211,f214,f244,f247,f254,f256,f258,f283,f290,f293,f295,f297]) ).
fof(f297,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f278,f111]) ).
fof(f111,plain,
( ~ colinear(a,c,b)
| spl0_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_1
<=> colinear(a,c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f278,plain,
( colinear(a,c,b)
| ~ spl0_8 ),
inference(resolution,[],[f141,f88]) ).
fof(f88,axiom,
! [X3,X10,X5] :
( ~ between(X5,X3,X10)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).
fof(f141,plain,
( between(b,c,a)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl0_8
<=> between(b,c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f295,plain,
( spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f280,f127]) ).
fof(f127,plain,
( ~ colinear(c,b,a)
| spl0_5 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl0_5
<=> colinear(c,b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f280,plain,
( colinear(c,b,a)
| ~ spl0_8 ),
inference(resolution,[],[f141,f90]) ).
fof(f90,axiom,
! [X3,X10,X5] :
( ~ between(X3,X10,X5)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).
fof(f293,plain,
( spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f279,f119]) ).
fof(f119,plain,
( ~ colinear(b,a,c)
| spl0_3 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_3
<=> colinear(b,a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f279,plain,
( colinear(b,a,c)
| ~ spl0_8 ),
inference(resolution,[],[f141,f89]) ).
fof(f89,axiom,
! [X3,X10,X5] :
( ~ between(X10,X5,X3)
| colinear(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).
fof(f290,plain,
( spl0_2
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f289,plain,
( $false
| spl0_2
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f259,f115]) ).
fof(f115,plain,
( ~ colinear(b,c,a)
| spl0_2 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_2
<=> colinear(b,c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f259,plain,
( colinear(b,c,a)
| ~ spl0_8 ),
inference(resolution,[],[f141,f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).
fof(f283,plain,
( spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f261,f123]) ).
fof(f123,plain,
( ~ colinear(c,a,b)
| spl0_4 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl0_4
<=> colinear(c,a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f261,plain,
( colinear(c,a,b)
| ~ spl0_8 ),
inference(resolution,[],[f141,f21]) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ between(X2,X0,X1)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity3) ).
fof(f258,plain,
( spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f220,f115]) ).
fof(f220,plain,
( colinear(b,c,a)
| ~ spl0_7 ),
inference(resolution,[],[f137,f20]) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ between(X1,X2,X0)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity2) ).
fof(f137,plain,
( between(c,a,b)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl0_7
<=> between(c,a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f256,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f240,f111]) ).
fof(f240,plain,
( colinear(a,c,b)
| ~ spl0_7 ),
inference(resolution,[],[f137,f90]) ).
fof(f254,plain,
( spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f253]) ).
fof(f253,plain,
( $false
| spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f238,f119]) ).
fof(f238,plain,
( colinear(b,a,c)
| ~ spl0_7 ),
inference(resolution,[],[f137,f88]) ).
fof(f247,plain,
( spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f239,f127]) ).
fof(f239,plain,
( colinear(c,b,a)
| ~ spl0_7 ),
inference(resolution,[],[f137,f89]) ).
fof(f244,plain,
( spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f219,f123]) ).
fof(f219,plain,
( colinear(c,a,b)
| ~ spl0_7 ),
inference(resolution,[],[f137,f19]) ).
fof(f214,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f145,f115]) ).
fof(f145,plain,
( colinear(b,c,a)
| ~ spl0_6 ),
inference(resolution,[],[f133,f21]) ).
fof(f133,plain,
( between(a,b,c)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl0_6
<=> between(a,b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f211,plain,
( spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f163,f111]) ).
fof(f163,plain,
( colinear(a,c,b)
| ~ spl0_6 ),
inference(resolution,[],[f133,f89]) ).
fof(f208,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f162,f127]) ).
fof(f162,plain,
( colinear(c,b,a)
| ~ spl0_6 ),
inference(resolution,[],[f133,f88]) ).
fof(f206,plain,
( spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f164,f119]) ).
fof(f164,plain,
( colinear(b,a,c)
| ~ spl0_6 ),
inference(resolution,[],[f133,f90]) ).
fof(f192,plain,
( spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f191,plain,
( $false
| spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f144,f123]) ).
fof(f144,plain,
( colinear(c,a,b)
| ~ spl0_6 ),
inference(resolution,[],[f133,f20]) ).
fof(f142,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f129,f139,f135,f131]) ).
fof(f129,plain,
( between(b,c,a)
| between(c,a,b)
| between(a,b,c) ),
inference(resolution,[],[f91,f22]) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity4) ).
fof(f91,axiom,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).
fof(f128,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f92,f125,f121,f117,f113,f109]) ).
fof(f92,axiom,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(a,c,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO010-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 20:55:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (626)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.17/0.51 % (618)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.17/0.52 % (619)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.17/0.52 % (610)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.17/0.52 % (614)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.17/0.52 % (618)Instruction limit reached!
% 1.17/0.52 % (618)------------------------------
% 1.17/0.52 % (618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.17/0.52 % (618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.17/0.52 % (618)Termination reason: Unknown
% 1.17/0.52 % (618)Termination phase: Finite model building preprocessing
% 1.17/0.52
% 1.17/0.52 % (618)Memory used [KB]: 1407
% 1.17/0.52 % (618)Time elapsed: 0.007 s
% 1.17/0.52 % (618)Instructions burned: 6 (million)
% 1.17/0.52 % (618)------------------------------
% 1.17/0.52 % (618)------------------------------
% 1.17/0.52 % (608)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.17/0.52 % (611)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.17/0.52 % (603)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.33/0.53 % (609)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.33/0.53 % (619)Instruction limit reached!
% 1.33/0.53 % (619)------------------------------
% 1.33/0.53 % (619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (610)First to succeed.
% 1.33/0.53 % (611)Instruction limit reached!
% 1.33/0.53 % (611)------------------------------
% 1.33/0.53 % (611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (619)Termination reason: Unknown
% 1.33/0.53 % (619)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (619)Memory used [KB]: 1407
% 1.33/0.53 % (619)Time elapsed: 0.004 s
% 1.33/0.53 % (619)Instructions burned: 3 (million)
% 1.33/0.53 % (619)------------------------------
% 1.33/0.53 % (619)------------------------------
% 1.33/0.53 % (622)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.53 % (611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (611)Termination reason: Unknown
% 1.33/0.53 % (611)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (611)Memory used [KB]: 1407
% 1.33/0.53 % (611)Time elapsed: 0.003 s
% 1.33/0.53 % (611)Instructions burned: 3 (million)
% 1.33/0.53 % (611)------------------------------
% 1.33/0.53 % (611)------------------------------
% 1.33/0.54 % (610)Refutation found. Thanks to Tanya!
% 1.33/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.33/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.54 % (610)------------------------------
% 1.33/0.54 % (610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (610)Termination reason: Refutation
% 1.33/0.54
% 1.33/0.54 % (610)Memory used [KB]: 6140
% 1.33/0.54 % (610)Time elapsed: 0.080 s
% 1.33/0.54 % (610)Instructions burned: 15 (million)
% 1.33/0.54 % (610)------------------------------
% 1.33/0.54 % (610)------------------------------
% 1.33/0.54 % (602)Success in time 0.176 s
%------------------------------------------------------------------------------