TSTP Solution File: GEO069-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO069-3 : 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_sat --cores 0 -t %d %s

% Computer : n026.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 16:11:43 EDT 2022

% Result   : Unsatisfiable 1.56s 0.59s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (  11 unt;   0 def)
%            Number of atoms       :   51 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   41 (  18   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1031,plain,
    $false,
    inference(avatar_sat_refutation,[],[f132,f611,f1030]) ).

fof(f1030,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f1029]) ).

fof(f1029,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1020,f127]) ).

fof(f127,plain,
    ( ~ colinear(x,w,v)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl0_1
  <=> colinear(x,w,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1020,plain,
    colinear(x,w,v),
    inference(resolution,[],[f543,f146]) ).

fof(f146,plain,
    colinear(v,u,x),
    inference(resolution,[],[f92,f106]) ).

fof(f106,axiom,
    colinear(x,v,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xvu_colinear) ).

fof(f92,axiom,
    ! [X3,X10,X5] :
      ( ~ colinear(X10,X3,X5)
      | colinear(X3,X5,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_2) ).

fof(f543,plain,
    ! [X1] :
      ( ~ colinear(v,u,X1)
      | colinear(X1,w,v) ),
    inference(resolution,[],[f245,f91]) ).

fof(f91,axiom,
    ! [X3,X10,X5] :
      ( ~ colinear(X10,X3,X5)
      | colinear(X5,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_1) ).

fof(f245,plain,
    ! [X33] :
      ( colinear(v,w,X33)
      | ~ colinear(v,u,X33) ),
    inference(subsumption_resolution,[],[f228,f104]) ).

fof(f104,axiom,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).

fof(f228,plain,
    ! [X33] :
      ( u = v
      | colinear(v,w,X33)
      | ~ colinear(v,u,X33) ),
    inference(resolution,[],[f102,f145]) ).

fof(f145,plain,
    colinear(v,u,w),
    inference(resolution,[],[f92,f105]) ).

fof(f105,axiom,
    colinear(w,v,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wvu_colinear) ).

fof(f102,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ colinear(X10,X3,X5)
      | X3 = X10
      | ~ colinear(X10,X3,X0)
      | colinear(X10,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_1) ).

fof(f611,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f610]) ).

fof(f610,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f603,f131]) ).

fof(f131,plain,
    ( ~ colinear(x,w,u)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl0_2
  <=> colinear(x,w,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f603,plain,
    colinear(x,w,u),
    inference(resolution,[],[f593,f91]) ).

fof(f593,plain,
    colinear(u,w,x),
    inference(resolution,[],[f455,f146]) ).

fof(f455,plain,
    ! [X1] :
      ( ~ colinear(v,u,X1)
      | colinear(u,w,X1) ),
    inference(subsumption_resolution,[],[f454,f104]) ).

fof(f454,plain,
    ! [X1] :
      ( ~ colinear(v,u,X1)
      | u = v
      | colinear(u,w,X1) ),
    inference(resolution,[],[f145,f103]) ).

fof(f103,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ colinear(X10,X3,X5)
      | colinear(X3,X5,X0)
      | ~ colinear(X10,X3,X0)
      | X3 = X10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_2) ).

fof(f132,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f107,f129,f125]) ).

fof(f107,axiom,
    ( ~ colinear(x,w,u)
    | ~ colinear(x,w,v) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xwu_and_xwv_colinear) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO069-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 21:21:20 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.49  % (11519)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.49  % (11501)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.49  % (11504)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49  % (11504)Instruction limit reached!
% 0.20/0.49  % (11504)------------------------------
% 0.20/0.49  % (11504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (11504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (11504)Termination reason: Unknown
% 0.20/0.49  % (11504)Termination phase: Function definition elimination
% 0.20/0.49  
% 0.20/0.49  % (11504)Memory used [KB]: 895
% 0.20/0.49  % (11504)Time elapsed: 0.003 s
% 0.20/0.49  % (11504)Instructions burned: 2 (million)
% 0.20/0.49  % (11504)------------------------------
% 0.20/0.49  % (11504)------------------------------
% 0.20/0.49  % (11500)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (11511)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50  % (11496)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.50  % (11517)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50  % (11503)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (11512)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (11509)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (11525)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  % (11520)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (11497)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (11503)Instruction limit reached!
% 0.20/0.51  % (11503)------------------------------
% 0.20/0.51  % (11503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (11503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (11503)Termination reason: Unknown
% 0.20/0.52  % (11503)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (11503)Memory used [KB]: 5500
% 0.20/0.52  % (11503)Time elapsed: 0.098 s
% 0.20/0.52  % (11503)Instructions burned: 8 (million)
% 0.20/0.52  % (11503)------------------------------
% 0.20/0.52  % (11503)------------------------------
% 0.20/0.52  % (11502)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.52  TRYING [3]
% 1.38/0.52  % (11516)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.38/0.52  % (11505)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.52  % (11499)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.53  % (11510)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.53  % (11508)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.38/0.53  % (11498)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.38/0.53  % (11526)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.38/0.53  % (11515)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.53  % (11518)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.38/0.53  % (11506)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.54  TRYING [3]
% 1.38/0.54  % (11524)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.56/0.55  % (11514)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.55  % (11507)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.55  % (11513)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.56/0.55  % (11523)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.56/0.56  % (11521)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.56/0.56  % (11501)Instruction limit reached!
% 1.56/0.56  % (11501)------------------------------
% 1.56/0.56  % (11501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (11501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (11501)Termination reason: Unknown
% 1.56/0.56  % (11501)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (11501)Memory used [KB]: 5756
% 1.56/0.56  % (11501)Time elapsed: 0.153 s
% 1.56/0.56  % (11501)Instructions burned: 49 (million)
% 1.56/0.56  % (11501)------------------------------
% 1.56/0.56  % (11501)------------------------------
% 1.56/0.56  % (11502)Instruction limit reached!
% 1.56/0.56  % (11502)------------------------------
% 1.56/0.56  % (11502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (11502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (11502)Termination reason: Unknown
% 1.56/0.56  % (11502)Termination phase: Finite model building constraint generation
% 1.56/0.56  
% 1.56/0.56  % (11502)Memory used [KB]: 11129
% 1.56/0.56  % (11502)Time elapsed: 0.152 s
% 1.56/0.56  % (11502)Instructions burned: 53 (million)
% 1.56/0.56  % (11502)------------------------------
% 1.56/0.56  % (11502)------------------------------
% 1.56/0.57  % (11519)First to succeed.
% 1.56/0.58  % (11500)Also succeeded, but the first one will report.
% 1.56/0.58  TRYING [3]
% 1.56/0.59  % (11519)Refutation found. Thanks to Tanya!
% 1.56/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.59  % (11519)------------------------------
% 1.56/0.59  % (11519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59  % (11519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59  % (11519)Termination reason: Refutation
% 1.56/0.59  
% 1.56/0.59  % (11519)Memory used [KB]: 5884
% 1.56/0.59  % (11519)Time elapsed: 0.158 s
% 1.56/0.59  % (11519)Instructions burned: 66 (million)
% 1.56/0.59  % (11519)------------------------------
% 1.56/0.59  % (11519)------------------------------
% 1.56/0.59  % (11492)Success in time 0.247 s
%------------------------------------------------------------------------------