TSTP Solution File: GEO015-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO015-2 : 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_uns --cores 0 -t %d %s

% Computer : n012.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 16:07:32 EDT 2022

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,plain,
    $false,
    inference(subsumption_resolution,[],[f50,f20]) ).

fof(f20,axiom,
    ~ equidistant(w,x,u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).

fof(f50,plain,
    equidistant(w,x,u,v),
    inference(resolution,[],[f24,f35]) ).

fof(f35,plain,
    equidistant(v,u,w,x),
    inference(resolution,[],[f23,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,v,X0,X1)
      | equidistant(X0,X1,w,x) ),
    inference(resolution,[],[f2,f19]) ).

fof(f19,axiom,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f24,plain,
    ! [X2,X3,X4,X5] :
      ( ~ equidistant(X2,X3,X4,X5)
      | equidistant(X4,X5,X3,X2) ),
    inference(resolution,[],[f2,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO015-2 : 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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.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 21:03:06 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.52  % (5437)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)
% 0.18/0.52  TRYING [1]
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (5422)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.52  % (5437)Instruction limit reached!
% 0.18/0.52  % (5437)------------------------------
% 0.18/0.52  % (5437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (5423)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.52  % (5425)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.52  % (5430)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)
% 0.18/0.52  % (5425)First to succeed.
% 0.18/0.52  % (5424)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.52  % (5435)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52  % (5430)Instruction limit reached!
% 0.18/0.52  % (5430)------------------------------
% 0.18/0.52  % (5430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (5437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (5437)Termination reason: Unknown
% 0.18/0.52  % (5437)Termination phase: Finite model building SAT solving
% 0.18/0.52  
% 0.18/0.52  % (5437)Memory used [KB]: 6140
% 0.18/0.52  % (5437)Time elapsed: 0.118 s
% 0.18/0.52  % (5437)Instructions burned: 7 (million)
% 0.18/0.52  % (5437)------------------------------
% 0.18/0.52  % (5437)------------------------------
% 0.18/0.52  % (5448)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.18/0.53  % (5442)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.53  % (5435)Instruction limit reached!
% 0.18/0.53  % (5435)------------------------------
% 0.18/0.53  % (5435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (5435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (5435)Termination reason: Unknown
% 0.18/0.53  % (5435)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (5435)Memory used [KB]: 5884
% 0.18/0.53  % (5435)Time elapsed: 0.121 s
% 0.18/0.53  % (5435)Instructions burned: 4 (million)
% 0.18/0.53  % (5435)------------------------------
% 0.18/0.53  % (5435)------------------------------
% 0.18/0.53  % (5448)Refutation not found, incomplete strategy% (5448)------------------------------
% 0.18/0.53  % (5448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (5448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (5448)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (5448)Memory used [KB]: 5884
% 0.18/0.53  % (5448)Time elapsed: 0.126 s
% 0.18/0.53  % (5448)Instructions burned: 2 (million)
% 0.18/0.53  % (5448)------------------------------
% 0.18/0.53  % (5448)------------------------------
% 0.18/0.53  % (5426)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.53  % (5444)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.53  % (5427)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.53  % (5445)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)
% 0.18/0.53  % (5430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (5430)Termination reason: Unknown
% 0.18/0.53  % (5430)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (5430)Memory used [KB]: 5884
% 0.18/0.53  % (5430)Time elapsed: 0.115 s
% 0.18/0.53  % (5430)Instructions burned: 3 (million)
% 0.18/0.53  % (5430)------------------------------
% 0.18/0.53  % (5430)------------------------------
% 0.18/0.53  % (5440)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.53  % (5428)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)
% 0.18/0.53  % (5438)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)
% 0.18/0.53  % (5443)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.53  % (5442)Instruction limit reached!
% 0.18/0.53  % (5442)------------------------------
% 0.18/0.53  % (5442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (5442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (5442)Termination reason: Unknown
% 0.18/0.53  % (5442)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (5438)Instruction limit reached!
% 0.18/0.53  % (5438)------------------------------
% 0.18/0.53  % (5438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (5442)Memory used [KB]: 1407
% 0.18/0.53  % (5438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (5442)Time elapsed: 0.136 s
% 0.18/0.53  % (5438)Termination reason: Unknown
% 0.18/0.53  % (5442)Instructions burned: 6 (million)
% 0.18/0.53  % (5438)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (5442)------------------------------
% 0.18/0.53  % (5442)------------------------------
% 0.18/0.53  % (5438)Memory used [KB]: 5884
% 0.18/0.53  % (5438)Time elapsed: 0.136 s
% 0.18/0.53  % (5438)Instructions burned: 3 (million)
% 0.18/0.53  % (5438)------------------------------
% 0.18/0.53  % (5438)------------------------------
% 0.18/0.53  % (5446)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.53  % (5449)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.53  % (5449)Refutation not found, incomplete strategy% (5449)------------------------------
% 0.18/0.53  % (5449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (5449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (5449)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (5449)Memory used [KB]: 1407
% 0.18/0.53  % (5449)Time elapsed: 0.136 s
% 0.18/0.53  % (5449)Instructions burned: 1 (million)
% 0.18/0.53  % (5449)------------------------------
% 0.18/0.53  % (5449)------------------------------
% 0.18/0.53  % (5434)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.54  % (5450)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.54  % (5429)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)
% 0.18/0.54  % (5439)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.54  % (5451)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (5434)Instruction limit reached!
% 0.18/0.54  % (5434)------------------------------
% 0.18/0.54  % (5434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (5434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (5434)Termination reason: Unknown
% 0.18/0.54  % (5434)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (5434)Memory used [KB]: 5884
% 0.18/0.54  % (5434)Time elapsed: 0.141 s
% 0.18/0.54  % (5434)Instructions burned: 5 (million)
% 0.18/0.54  % (5434)------------------------------
% 0.18/0.54  % (5434)------------------------------
% 0.18/0.54  % (5432)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.54  % (5429)Refutation not found, incomplete strategy% (5429)------------------------------
% 0.18/0.54  % (5429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (5429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (5429)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (5429)Memory used [KB]: 5884
% 0.18/0.54  % (5429)Time elapsed: 0.132 s
% 0.18/0.54  % (5429)Instructions burned: 2 (million)
% 0.18/0.54  % (5429)------------------------------
% 0.18/0.54  % (5429)------------------------------
% 0.18/0.54  % (5436)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.54  % (5441)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)
% 0.18/0.54  % (5433)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)
% 0.18/0.54  % (5431)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.55  % (5425)Refutation found. Thanks to Tanya!
% 0.18/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55  % (5425)------------------------------
% 0.18/0.55  % (5425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (5425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (5425)Termination reason: Refutation
% 0.18/0.55  
% 0.18/0.55  % (5425)Memory used [KB]: 5884
% 0.18/0.55  % (5425)Time elapsed: 0.124 s
% 0.18/0.55  % (5425)Instructions burned: 2 (million)
% 0.18/0.55  % (5425)------------------------------
% 0.18/0.55  % (5425)------------------------------
% 0.18/0.55  % (5421)Success in time 0.197 s
%------------------------------------------------------------------------------