TSTP Solution File: GEO042-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO042-2 : 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 : n024.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 16:07:46 EDT 2022

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   37 (   4 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   41 (  23   ~;  18   |;   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   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(resolution,[],[f70,f19]) ).

fof(f19,axiom,
    between(u,v,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).

fof(f70,plain,
    ~ between(u,v,x),
    inference(resolution,[],[f62,f20]) ).

fof(f20,axiom,
    between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).

fof(f62,plain,
    ! [X0] :
      ( ~ between(v,w,X0)
      | ~ between(u,v,X0) ),
    inference(resolution,[],[f49,f26]) ).

fof(f26,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/sandbox/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/sandbox/benchmark/theBenchmark.p',segment_construction2) ).

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

fof(f49,plain,
    ! [X0,X1] :
      ( ~ between(v,u,X0)
      | ~ between(X0,v,X1)
      | ~ between(v,w,X1) ),
    inference(resolution,[],[f47,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(X3,X1,X0)
      | ~ between(X0,X1,X2)
      | ~ between(X1,X3,X2)
      | ~ between(X1,X3,X2) ),
    inference(superposition,[],[f9,f37]) ).

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

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/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(X10,X3,X5)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).

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

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

fof(f21,axiom,
    ~ between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO042-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 21:03:34 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.47  % (19647)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)
% 0.21/0.49  % (19656)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)
% 0.21/0.49  % (19656)Refutation not found, incomplete strategy% (19656)------------------------------
% 0.21/0.49  % (19656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (19656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (19656)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49  
% 0.21/0.49  % (19656)Memory used [KB]: 5756
% 0.21/0.49  % (19656)Time elapsed: 0.066 s
% 0.21/0.49  % (19656)Instructions burned: 1 (million)
% 0.21/0.49  % (19656)------------------------------
% 0.21/0.49  % (19656)------------------------------
% 0.21/0.50  % (19647)Instruction limit reached!
% 0.21/0.50  % (19647)------------------------------
% 0.21/0.50  % (19647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (19647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (19647)Termination reason: Unknown
% 0.21/0.50  % (19647)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (19647)Memory used [KB]: 10746
% 0.21/0.50  % (19647)Time elapsed: 0.066 s
% 0.21/0.50  % (19647)Instructions burned: 29 (million)
% 0.21/0.50  % (19647)------------------------------
% 0.21/0.50  % (19647)------------------------------
% 0.21/0.51  % (19634)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52  % (19629)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.52  % (19636)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)
% 0.21/0.52  % (19636)Refutation not found, incomplete strategy% (19636)------------------------------
% 0.21/0.52  % (19636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (19636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (19636)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (19636)Memory used [KB]: 5756
% 0.21/0.52  % (19636)Time elapsed: 0.002 s
% 0.21/0.52  % (19636)Instructions burned: 1 (million)
% 0.21/0.52  % (19636)------------------------------
% 0.21/0.52  % (19636)------------------------------
% 0.21/0.53  % (19637)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)
% 0.21/0.53  % (19634)First to succeed.
% 0.21/0.53  % (19657)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)
% 0.21/0.53  % (19657)Refutation not found, incomplete strategy% (19657)------------------------------
% 0.21/0.53  % (19657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (19657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (19657)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (19657)Memory used [KB]: 1279
% 0.21/0.53  % (19657)Time elapsed: 0.118 s
% 0.21/0.53  % (19657)Instructions burned: 1 (million)
% 0.21/0.53  % (19657)------------------------------
% 0.21/0.53  % (19657)------------------------------
% 0.21/0.53  % (19655)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)
% 0.21/0.53  % (19655)Refutation not found, incomplete strategy% (19655)------------------------------
% 0.21/0.53  % (19655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (19655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (19655)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (19655)Memory used [KB]: 5884
% 0.21/0.53  % (19655)Time elapsed: 0.127 s
% 0.21/0.53  % (19655)------------------------------
% 0.21/0.53  % (19655)------------------------------
% 0.21/0.53  % (19654)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)
% 0.21/0.53  % (19631)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)
% 0.21/0.53  % (19659)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)
% 0.21/0.53  % (19632)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)
% 0.21/0.53  % (19643)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)
% 0.21/0.53  % (19653)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)
% 0.21/0.53  % (19633)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)
% 0.21/0.53  % (19632)Refutation not found, incomplete strategy% (19632)------------------------------
% 0.21/0.53  % (19632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (19632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (19632)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (19659)Refutation not found, incomplete strategy% (19659)------------------------------
% 0.21/0.53  % (19659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (19632)Memory used [KB]: 5756
% 0.21/0.53  % (19632)Time elapsed: 0.125 s
% 0.21/0.53  % (19659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (19632)------------------------------
% 0.21/0.53  % (19632)------------------------------
% 0.21/0.53  % (19659)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (19659)Memory used [KB]: 5884
% 0.21/0.53  % (19659)Time elapsed: 0.129 s
% 0.21/0.53  % (19659)Instructions burned: 1 (million)
% 0.21/0.53  % (19659)------------------------------
% 0.21/0.53  % (19659)------------------------------
% 0.21/0.53  % (19631)Instruction limit reached!
% 0.21/0.53  % (19631)------------------------------
% 0.21/0.53  % (19631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (19631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (19631)Termination reason: Unknown
% 0.21/0.53  % (19631)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (19631)Memory used [KB]: 5884
% 0.21/0.53  % (19631)Time elapsed: 0.125 s
% 0.21/0.53  % (19631)Instructions burned: 4 (million)
% 0.21/0.53  % (19631)------------------------------
% 0.21/0.53  % (19631)------------------------------
% 0.21/0.53  % (19633)Refutation not found, incomplete strategy% (19633)------------------------------
% 0.21/0.53  % (19633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (19633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (19633)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (19633)Memory used [KB]: 5756
% 0.21/0.53  % (19633)Time elapsed: 0.123 s
% 0.21/0.53  % (19633)------------------------------
% 0.21/0.53  % (19633)------------------------------
% 0.21/0.54  % (19630)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)
% 0.21/0.54  % (19651)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)
% 0.21/0.54  % (19651)Refutation not found, incomplete strategy% (19651)------------------------------
% 0.21/0.54  % (19651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (19651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (19651)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (19651)Memory used [KB]: 5756
% 0.21/0.54  % (19651)Time elapsed: 0.130 s
% 0.21/0.54  % (19651)Instructions burned: 2 (million)
% 0.21/0.54  % (19651)------------------------------
% 0.21/0.54  % (19651)------------------------------
% 0.21/0.54  % (19650)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)
% 0.21/0.54  % (19642)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)
% 0.21/0.54  % (19640)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)
% 0.21/0.54  % (19648)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)
% 0.21/0.54  % (19648)Refutation not found, incomplete strategy% (19648)------------------------------
% 0.21/0.54  % (19648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (19648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (19648)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (19648)Memory used [KB]: 5884
% 0.21/0.54  % (19648)Time elapsed: 0.129 s
% 0.21/0.54  % (19648)Instructions burned: 1 (million)
% 0.21/0.54  % (19648)------------------------------
% 0.21/0.54  % (19648)------------------------------
% 0.21/0.54  % (19642)Instruction limit reached!
% 0.21/0.54  % (19642)------------------------------
% 0.21/0.54  % (19642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (19642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (19642)Termination reason: Unknown
% 0.21/0.54  % (19642)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (19642)Memory used [KB]: 5884
% 0.21/0.54  % (19642)Time elapsed: 0.134 s
% 0.21/0.54  % (19642)Instructions burned: 3 (million)
% 0.21/0.54  % (19642)------------------------------
% 0.21/0.54  % (19642)------------------------------
% 0.21/0.54  % (19634)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (19634)------------------------------
% 0.21/0.54  % (19634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (19634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (19634)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (19634)Memory used [KB]: 5884
% 0.21/0.54  % (19634)Time elapsed: 0.119 s
% 0.21/0.54  % (19634)Instructions burned: 5 (million)
% 0.21/0.54  % (19634)------------------------------
% 0.21/0.54  % (19634)------------------------------
% 0.21/0.54  % (19628)Success in time 0.183 s
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