TSTP Solution File: GEO040-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO040-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n006.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 16:11:38 EDT 2022

% Result   : Unsatisfiable 2.39s 0.68s
% Output   : Refutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   39 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  17   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-5 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f603,plain,
    $false,
    inference(avatar_sat_refutation,[],[f201,f562,f597]) ).

fof(f597,plain,
    ( spl0_4
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f582,f554,f177]) ).

fof(f177,plain,
    ( spl0_4
  <=> u = v ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f554,plain,
    ( spl0_20
  <=> v = inner_pasch(u,v,w,u,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f582,plain,
    ( u = v
    | ~ spl0_20 ),
    inference(resolution,[],[f574,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f574,plain,
    ( between(u,v,u)
    | ~ spl0_20 ),
    inference(backward_demodulation,[],[f540,f556]) ).

fof(f556,plain,
    ( v = inner_pasch(u,v,w,u,v)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f540,plain,
    between(u,inner_pasch(u,v,w,u,v),u),
    inference(resolution,[],[f355,f49]) ).

fof(f49,axiom,
    between(v,u,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).

fof(f355,plain,
    ! [X24,X25] :
      ( ~ between(X25,X24,w)
      | between(X24,inner_pasch(u,v,w,X24,X25),u) ),
    inference(resolution,[],[f9,f48]) ).

fof(f48,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f9,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X10,X3,X5)
      | between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).

fof(f562,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f546,f554]) ).

fof(f546,plain,
    v = inner_pasch(u,v,w,u,v),
    inference(resolution,[],[f459,f7]) ).

fof(f459,plain,
    between(v,inner_pasch(u,v,w,u,v),v),
    inference(resolution,[],[f347,f49]) ).

fof(f347,plain,
    ! [X24,X25] :
      ( ~ between(X25,X24,w)
      | between(v,inner_pasch(u,v,w,X24,X25),X25) ),
    inference(resolution,[],[f8,f48]) ).

fof(f8,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X10,X3,X5)
      | between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f201,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f200]) ).

fof(f200,plain,
    ( $false
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f198]) ).

fof(f198,plain,
    ( u != u
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f50,f179]) ).

fof(f179,plain,
    ( u = v
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f50,axiom,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_is_v) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO040-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 20:59:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (12514)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (12512)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)
% 0.19/0.55  % (12522)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)
% 0.19/0.56  % (12530)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.56  % (12514)Instruction limit reached!
% 0.19/0.56  % (12514)------------------------------
% 0.19/0.56  % (12514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (12514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (12514)Termination reason: Unknown
% 0.19/0.56  % (12514)Termination phase: Blocked clause elimination
% 0.19/0.56  
% 0.19/0.56  % (12514)Memory used [KB]: 895
% 0.19/0.56  % (12514)Time elapsed: 0.004 s
% 0.19/0.56  % (12514)Instructions burned: 2 (million)
% 0.19/0.56  % (12514)------------------------------
% 0.19/0.56  % (12514)------------------------------
% 0.19/0.56  TRYING [1]
% 0.19/0.56  % (12528)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)
% 0.19/0.56  TRYING [2]
% 0.19/0.56  % (12520)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)
% 0.19/0.58  TRYING [3]
% 0.19/0.59  % (12511)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)
% 0.19/0.60  % (12510)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.61  % (12508)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)
% 0.19/0.61  % (12506)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)
% 0.19/0.61  % (12525)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)
% 0.19/0.61  % (12527)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.61  % (12526)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)
% 0.19/0.61  % (12531)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.61  TRYING [1]
% 0.19/0.61  TRYING [2]
% 0.19/0.62  % (12513)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.62  % (12509)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)
% 0.19/0.62  % (12524)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.62  % (12534)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.62  % (12523)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.62  % (12513)Instruction limit reached!
% 0.19/0.62  % (12513)------------------------------
% 0.19/0.62  % (12513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62  % (12513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.62  % (12513)Termination reason: Unknown
% 0.19/0.62  % (12513)Termination phase: Saturation
% 0.19/0.62  
% 0.19/0.62  % (12513)Memory used [KB]: 5500
% 0.19/0.62  % (12513)Time elapsed: 0.195 s
% 0.19/0.62  % (12513)Instructions burned: 7 (million)
% 0.19/0.62  % (12513)------------------------------
% 0.19/0.62  % (12513)------------------------------
% 0.19/0.62  TRYING [1]
% 0.19/0.62  TRYING [2]
% 0.19/0.62  % (12529)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)
% 0.19/0.62  % (12521)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)
% 0.19/0.63  % (12517)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)
% 0.19/0.63  % (12512)Instruction limit reached!
% 0.19/0.63  % (12512)------------------------------
% 0.19/0.63  % (12512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.63  % (12512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.63  % (12512)Termination reason: Unknown
% 0.19/0.63  % (12512)Termination phase: Finite model building constraint generation
% 0.19/0.63  
% 0.19/0.63  % (12512)Memory used [KB]: 9338
% 0.19/0.63  % (12512)Time elapsed: 0.155 s
% 0.19/0.63  % (12512)Instructions burned: 51 (million)
% 0.19/0.63  % (12512)------------------------------
% 0.19/0.63  % (12512)------------------------------
% 0.19/0.63  % (12532)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)
% 0.19/0.63  % (12535)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)
% 0.19/0.63  % (12515)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)
% 0.19/0.63  % (12519)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.63  % (12516)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.63  % (12507)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)
% 0.19/0.63  % (12518)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.63  % (12533)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)
% 2.10/0.64  TRYING [3]
% 2.10/0.65  TRYING [3]
% 2.33/0.66  % (12535)First to succeed.
% 2.39/0.67  % (12508)Instruction limit reached!
% 2.39/0.67  % (12508)------------------------------
% 2.39/0.67  % (12508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.67  % (12508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.67  % (12508)Termination reason: Unknown
% 2.39/0.67  % (12508)Termination phase: Saturation
% 2.39/0.67  
% 2.39/0.67  % (12508)Memory used [KB]: 1279
% 2.39/0.67  % (12508)Time elapsed: 0.248 s
% 2.39/0.67  % (12508)Instructions burned: 37 (million)
% 2.39/0.67  % (12508)------------------------------
% 2.39/0.67  % (12508)------------------------------
% 2.39/0.68  % (12520)Also succeeded, but the first one will report.
% 2.39/0.68  % (12535)Refutation found. Thanks to Tanya!
% 2.39/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.39/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.68  % (12535)------------------------------
% 2.39/0.68  % (12535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68  % (12535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68  % (12535)Termination reason: Refutation
% 2.39/0.68  
% 2.39/0.68  % (12535)Memory used [KB]: 5756
% 2.39/0.68  % (12535)Time elapsed: 0.226 s
% 2.39/0.68  % (12535)Instructions burned: 24 (million)
% 2.39/0.68  % (12535)------------------------------
% 2.39/0.68  % (12535)------------------------------
% 2.39/0.68  % (12505)Success in time 0.323 s
%------------------------------------------------------------------------------