TSTP Solution File: GEO043-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO043-2 : 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 : n002.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 16:07:47 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   40 (   4 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   45 (  26   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-5 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(resolution,[],[f72,f19]) ).

fof(f19,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f72,plain,
    ~ between(u,v,w),
    inference(resolution,[],[f71,f25]) ).

fof(f25,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f23]) ).

fof(f23,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

fof(f71,plain,
    ! [X0] :
      ( ~ between(v,w,X0)
      | ~ between(u,v,X0) ),
    inference(resolution,[],[f69,f42]) ).

fof(f42,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,X0)
      | ~ between(X1,X3,X2)
      | ~ between(X0,X1,X2) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X0,X1,X2)
      | between(X3,X1,X0)
      | ~ between(X1,X3,X2)
      | ~ between(X1,X3,X2) ),
    inference(superposition,[],[f9,f37]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] :
      ( inner_pasch(X3,X0,X2,X1,X0) = X0
      | ~ between(X3,X0,X2)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f8,f7]) ).

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

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

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

fof(f69,plain,
    ~ between(w,v,u),
    inference(resolution,[],[f64,f20]) ).

fof(f20,axiom,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).

fof(f64,plain,
    ! [X0] :
      ( ~ between(X0,w,x)
      | ~ between(w,v,X0) ),
    inference(resolution,[],[f50,f25]) ).

fof(f50,plain,
    ! [X2,X3] :
      ( ~ between(w,x,X3)
      | ~ between(X2,w,X3)
      | ~ between(w,v,X2) ),
    inference(resolution,[],[f47,f42]) ).

fof(f47,plain,
    ! [X6] :
      ( ~ between(x,w,X6)
      | ~ between(w,v,X6) ),
    inference(resolution,[],[f42,f21]) ).

fof(f21,axiom,
    ~ between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_between_v_and_x) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO043-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % 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 : n002.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 21:13:43 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (27538)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)
% 0.20/0.50  % (27540)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)
% 0.20/0.50  % (27566)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)
% 0.20/0.50  % (27556)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)
% 0.20/0.50  % (27540)Refutation not found, incomplete strategy% (27540)------------------------------
% 0.20/0.50  % (27540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (27538)Refutation not found, incomplete strategy% (27538)------------------------------
% 0.20/0.50  % (27538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (27538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (27538)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (27538)Memory used [KB]: 1407
% 0.20/0.50  % (27538)Time elapsed: 0.093 s
% 0.20/0.50  % (27538)Instructions burned: 3 (million)
% 0.20/0.50  % (27538)------------------------------
% 0.20/0.50  % (27538)------------------------------
% 0.20/0.51  % (27566)Refutation not found, incomplete strategy% (27566)------------------------------
% 0.20/0.51  % (27566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (27566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (27566)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (27566)Memory used [KB]: 5756
% 0.20/0.51  % (27566)Time elapsed: 0.105 s
% 0.20/0.51  % (27566)Instructions burned: 1 (million)
% 0.20/0.51  % (27566)------------------------------
% 0.20/0.51  % (27566)------------------------------
% 0.20/0.51  % (27546)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)
% 0.20/0.51  % (27546)Refutation not found, incomplete strategy% (27546)------------------------------
% 0.20/0.51  % (27546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (27546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (27546)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (27546)Memory used [KB]: 5884
% 0.20/0.51  % (27546)Time elapsed: 0.106 s
% 0.20/0.51  % (27546)Instructions burned: 1 (million)
% 0.20/0.51  % (27546)------------------------------
% 0.20/0.51  % (27546)------------------------------
% 0.20/0.51  % (27549)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)
% 0.20/0.51  % (27540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (27540)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (27540)Memory used [KB]: 5756
% 0.20/0.51  % (27540)Time elapsed: 0.096 s
% 0.20/0.51  % (27540)Instructions burned: 1 (million)
% 0.20/0.51  % (27540)------------------------------
% 0.20/0.51  % (27540)------------------------------
% 0.20/0.51  % (27561)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)
% 0.20/0.51  % (27537)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (27547)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)
% 0.20/0.52  % (27541)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)
% 0.20/0.52  % (27541)Refutation not found, incomplete strategy% (27541)------------------------------
% 0.20/0.52  % (27541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27541)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (27541)Memory used [KB]: 5756
% 0.20/0.52  % (27541)Time elapsed: 0.117 s
% 0.20/0.52  % (27541)Instructions burned: 2 (million)
% 0.20/0.52  % (27541)------------------------------
% 0.20/0.52  % (27541)------------------------------
% 0.20/0.52  % (27564)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)
% 0.20/0.52  % (27543)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)
% 0.20/0.52  % (27545)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)
% 0.20/0.52  % (27563)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.52  % (27555)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52  % (27563)Refutation not found, incomplete strategy% (27563)------------------------------
% 0.20/0.52  % (27563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (27542)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (27553)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)
% 0.20/0.53  % (27560)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)
% 0.20/0.53  % (27542)First to succeed.
% 0.20/0.53  % (27554)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)
% 0.20/0.53  % (27555)Instruction limit reached!
% 0.20/0.53  % (27555)------------------------------
% 0.20/0.53  % (27555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27563)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (27563)Memory used [KB]: 5884
% 0.20/0.53  % (27563)Time elapsed: 0.121 s
% 0.20/0.53  % (27563)Instructions burned: 2 (million)
% 0.20/0.53  % (27563)------------------------------
% 0.20/0.53  % (27563)------------------------------
% 0.20/0.53  % (27564)Refutation not found, incomplete strategy% (27564)------------------------------
% 0.20/0.53  % (27564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27564)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (27564)Memory used [KB]: 5756
% 0.20/0.53  % (27564)Time elapsed: 0.131 s
% 0.20/0.53  % (27564)Instructions burned: 2 (million)
% 0.20/0.53  % (27564)------------------------------
% 0.20/0.53  % (27564)------------------------------
% 0.20/0.53  % (27539)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)
% 0.20/0.53  % (27567)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)
% 0.20/0.53  % (27547)Instruction limit reached!
% 0.20/0.53  % (27547)------------------------------
% 0.20/0.53  % (27547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27547)Termination reason: Unknown
% 0.20/0.53  % (27547)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (27547)Memory used [KB]: 5884
% 0.20/0.53  % (27547)Time elapsed: 0.115 s
% 0.20/0.53  % (27547)Instructions burned: 6 (million)
% 0.20/0.53  % (27547)------------------------------
% 0.20/0.53  % (27547)------------------------------
% 0.20/0.53  % (27555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27555)Termination reason: Unknown
% 0.20/0.53  % (27555)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (27555)Memory used [KB]: 5884
% 0.20/0.53  % (27555)Time elapsed: 0.127 s
% 0.20/0.53  % (27555)Instructions burned: 10 (million)
% 0.20/0.53  % (27555)------------------------------
% 0.20/0.53  % (27555)------------------------------
% 0.20/0.53  % (27558)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)
% 0.20/0.54  % (27557)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)
% 0.20/0.54  % (27559)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)
% 0.20/0.54  % (27559)Refutation not found, incomplete strategy% (27559)------------------------------
% 0.20/0.54  % (27559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27559)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (27559)Memory used [KB]: 5756
% 0.20/0.54  % (27559)Time elapsed: 0.138 s
% 0.20/0.54  % (27559)------------------------------
% 0.20/0.54  % (27559)------------------------------
% 0.20/0.54  % (27558)Instruction limit reached!
% 0.20/0.54  % (27558)------------------------------
% 0.20/0.54  % (27558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27539)Instruction limit reached!
% 0.20/0.54  % (27539)------------------------------
% 0.20/0.54  % (27539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27554)Instruction limit reached!
% 0.20/0.54  % (27554)------------------------------
% 0.20/0.54  % (27554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27542)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (27542)------------------------------
% 0.20/0.54  % (27542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27542)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (27542)Memory used [KB]: 5884
% 0.20/0.54  % (27542)Time elapsed: 0.119 s
% 0.20/0.54  % (27542)Instructions burned: 3 (million)
% 0.20/0.54  % (27542)------------------------------
% 0.20/0.54  % (27542)------------------------------
% 0.20/0.54  % (27531)Success in time 0.181 s
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