TSTP Solution File: GEO008-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO008-3 : 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 : n029.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 16:11:27 EDT 2022

% Result   : Unsatisfiable 1.59s 0.57s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (   9 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   59 (  28   ~;  29   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f382,plain,
    $false,
    inference(avatar_sat_refutation,[],[f288,f334,f381]) ).

fof(f381,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f380]) ).

fof(f380,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f378,f85]) ).

fof(f85,axiom,
    ~ between(a,b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_betweenness) ).

fof(f378,plain,
    ( between(a,b,e)
    | ~ spl0_2 ),
    inference(resolution,[],[f373,f82]) ).

fof(f82,axiom,
    between(a,c,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_e) ).

fof(f373,plain,
    ( ! [X2] :
        ( ~ between(a,c,X2)
        | between(a,b,X2) )
    | ~ spl0_2 ),
    inference(resolution,[],[f361,f58]) ).

fof(f58,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X5)
      | between(X10,X3,X0)
      | ~ between(X10,X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).

fof(f361,plain,
    ( between(a,b,c)
    | ~ spl0_2 ),
    inference(resolution,[],[f356,f104]) ).

fof(f104,plain,
    between(d,b,c),
    inference(resolution,[],[f47,f84]) ).

fof(f84,axiom,
    between(c,b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_c_and_d) ).

fof(f47,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

fof(f356,plain,
    ( ! [X3] :
        ( ~ between(d,X3,c)
        | between(a,X3,c) )
    | ~ spl0_2 ),
    inference(resolution,[],[f175,f57]) ).

fof(f57,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X0)
      | ~ between(X3,X5,X0)
      | between(X10,X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).

fof(f175,plain,
    ( between(a,d,c)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl0_2
  <=> between(a,d,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f334,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f333]) ).

fof(f333,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f323,f85]) ).

fof(f323,plain,
    ( between(a,b,e)
    | ~ spl0_1 ),
    inference(resolution,[],[f307,f47]) ).

fof(f307,plain,
    ( between(e,b,a)
    | ~ spl0_1 ),
    inference(resolution,[],[f306,f127]) ).

fof(f127,plain,
    ! [X1] :
      ( ~ between(d,X1,a)
      | between(e,X1,a) ),
    inference(resolution,[],[f103,f57]) ).

fof(f103,plain,
    between(e,d,a),
    inference(resolution,[],[f47,f83]) ).

fof(f83,axiom,
    between(a,d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_between_a_and_e) ).

fof(f306,plain,
    ( between(d,b,a)
    | ~ spl0_1 ),
    inference(resolution,[],[f298,f47]) ).

fof(f298,plain,
    ( between(a,b,d)
    | ~ spl0_1 ),
    inference(resolution,[],[f292,f84]) ).

fof(f292,plain,
    ( ! [X3] :
        ( ~ between(c,X3,d)
        | between(a,X3,d) )
    | ~ spl0_1 ),
    inference(resolution,[],[f171,f57]) ).

fof(f171,plain,
    ( between(a,c,d)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl0_1
  <=> between(a,c,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f288,plain,
    ( spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f183,f169,f173]) ).

fof(f183,plain,
    ( between(a,c,d)
    | between(a,d,c) ),
    inference(resolution,[],[f133,f82]) ).

fof(f133,plain,
    ! [X7] :
      ( ~ between(a,X7,e)
      | between(a,X7,d)
      | between(a,d,X7) ),
    inference(resolution,[],[f80,f83]) ).

fof(f80,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ between(X10,X3,X0)
      | between(X10,X3,X5)
      | ~ between(X10,X5,X0)
      | between(X10,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO008-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n029.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 21:06:26 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.46  % (15474)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)
% 0.21/0.48  % (15498)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)
% 0.21/0.49  % (15482)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50  % (15490)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.50  % (15488)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)
% 0.21/0.50  % (15472)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)
% 0.21/0.51  % (15475)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)
% 0.21/0.51  % (15480)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)
% 0.21/0.52  % (15469)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)
% 0.21/0.52  % (15473)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (15483)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)
% 0.21/0.52  % (15470)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)
% 0.21/0.53  % (15492)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)
% 0.21/0.53  % (15471)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)
% 0.21/0.53  % (15484)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)
% 0.21/0.53  TRYING [3]
% 1.41/0.53  % (15487)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.53  % (15496)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)
% 1.41/0.54  % (15491)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)
% 1.41/0.54  % (15476)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.54  % (15495)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)
% 1.41/0.54  % (15485)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)
% 1.41/0.54  % (15497)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.54  % (15494)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.54  % (15478)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)
% 1.41/0.55  % (15493)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.41/0.55  % (15479)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.55  % (15486)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.55  % (15476)Instruction limit reached!
% 1.41/0.55  % (15476)------------------------------
% 1.41/0.55  % (15476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (15476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (15476)Termination reason: Unknown
% 1.41/0.55  % (15476)Termination phase: Saturation
% 1.41/0.55  
% 1.41/0.55  % (15476)Memory used [KB]: 5500
% 1.41/0.55  % (15476)Time elapsed: 0.105 s
% 1.41/0.55  % (15476)Instructions burned: 7 (million)
% 1.41/0.55  % (15476)------------------------------
% 1.41/0.55  % (15476)------------------------------
% 1.41/0.55  % (15474)Instruction limit reached!
% 1.41/0.55  % (15474)------------------------------
% 1.41/0.55  % (15474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (15474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (15474)Termination reason: Unknown
% 1.41/0.55  % (15474)Termination phase: Saturation
% 1.41/0.55  
% 1.41/0.55  % (15474)Memory used [KB]: 5884
% 1.41/0.55  % (15474)Time elapsed: 0.163 s
% 1.41/0.55  % (15474)Instructions burned: 48 (million)
% 1.41/0.55  % (15474)------------------------------
% 1.41/0.55  % (15474)------------------------------
% 1.41/0.55  % (15477)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.55  % (15477)Instruction limit reached!
% 1.41/0.55  % (15477)------------------------------
% 1.41/0.55  % (15477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (15477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (15477)Termination reason: Unknown
% 1.41/0.55  % (15477)Termination phase: Blocked clause elimination
% 1.41/0.55  
% 1.41/0.55  % (15477)Memory used [KB]: 1023
% 1.41/0.55  % (15477)Time elapsed: 0.003 s
% 1.41/0.55  % (15477)Instructions burned: 3 (million)
% 1.41/0.55  % (15477)------------------------------
% 1.41/0.55  % (15477)------------------------------
% 1.41/0.55  % (15489)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)
% 1.59/0.56  TRYING [3]
% 1.59/0.56  % (15475)Instruction limit reached!
% 1.59/0.56  % (15475)------------------------------
% 1.59/0.56  % (15475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (15475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (15475)Termination reason: Unknown
% 1.59/0.56  % (15475)Termination phase: Finite model building constraint generation
% 1.59/0.56  
% 1.59/0.56  % (15475)Memory used [KB]: 11129
% 1.59/0.56  % (15475)Time elapsed: 0.136 s
% 1.59/0.56  % (15475)Instructions burned: 53 (million)
% 1.59/0.56  % (15475)------------------------------
% 1.59/0.56  % (15475)------------------------------
% 1.59/0.56  % (15481)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.59/0.56  % (15492)First to succeed.
% 1.59/0.57  % (15472)Instruction limit reached!
% 1.59/0.57  % (15472)------------------------------
% 1.59/0.57  % (15472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57  % (15472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (15472)Termination reason: Unknown
% 1.59/0.57  % (15472)Termination phase: Saturation
% 1.59/0.57  
% 1.59/0.57  % (15472)Memory used [KB]: 6012
% 1.59/0.57  % (15472)Time elapsed: 0.165 s
% 1.59/0.57  % (15472)Instructions burned: 52 (million)
% 1.59/0.57  % (15472)------------------------------
% 1.59/0.57  % (15472)------------------------------
% 1.59/0.57  % (15492)Refutation found. Thanks to Tanya!
% 1.59/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.59/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.57  % (15492)------------------------------
% 1.59/0.57  % (15492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57  % (15492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57  % (15492)Termination reason: Refutation
% 1.59/0.57  
% 1.59/0.57  % (15492)Memory used [KB]: 5628
% 1.59/0.57  % (15492)Time elapsed: 0.111 s
% 1.59/0.57  % (15492)Instructions burned: 24 (million)
% 1.59/0.57  % (15492)------------------------------
% 1.59/0.57  % (15492)------------------------------
% 1.59/0.57  % (15468)Success in time 0.217 s
%------------------------------------------------------------------------------