TSTP Solution File: GEO002-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO002-2 : 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 : n014.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 16:07:24 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   30 (   4 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   31 (  16   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-5 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,plain,
    $false,
    inference(resolution,[],[f46,f19]) ).

fof(f19,axiom,
    ~ between(a,a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).

fof(f46,plain,
    ! [X4,X5] : between(X4,X4,X5),
    inference(resolution,[],[f42,f23]) ).

fof(f23,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f21]) ).

fof(f21,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(f42,plain,
    ! [X6,X7,X5] :
      ( ~ between(X7,X6,X5)
      | between(X5,X6,X7) ),
    inference(resolution,[],[f40,f23]) ).

fof(f40,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X3,X2)
      | between(X3,X1,X0)
      | ~ between(X0,X1,X2) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1] :
      ( between(X3,X1,X0)
      | ~ between(X0,X1,X2)
      | ~ between(X1,X3,X2)
      | ~ between(X0,X1,X2)
      | ~ between(X1,X3,X2) ),
    inference(superposition,[],[f9,f35]) ).

fof(f35,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 20:56:18 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (3722)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)
% 0.20/0.51  % (3711)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)
% 0.20/0.51  % (3717)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)
% 0.20/0.51  % (3717)Instruction limit reached!
% 0.20/0.51  % (3717)------------------------------
% 0.20/0.51  % (3717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (3717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (3717)Termination reason: Unknown
% 0.20/0.51  % (3717)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (3717)Memory used [KB]: 5884
% 0.20/0.51  % (3717)Time elapsed: 0.104 s
% 0.20/0.51  % (3717)Instructions burned: 3 (million)
% 0.20/0.51  % (3717)------------------------------
% 0.20/0.51  % (3717)------------------------------
% 0.20/0.51  % (3730)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)
% 0.20/0.51  % (3730)Refutation not found, incomplete strategy% (3730)------------------------------
% 0.20/0.51  % (3730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (3730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (3730)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (3730)Memory used [KB]: 5884
% 0.20/0.51  % (3730)Time elapsed: 0.114 s
% 0.20/0.51  % (3730)------------------------------
% 0.20/0.51  % (3730)------------------------------
% 0.20/0.51  % (3733)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)
% 0.20/0.51  % (3718)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)
% 0.20/0.51  % (3733)Refutation not found, incomplete strategy% (3733)------------------------------
% 0.20/0.51  % (3733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (3733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (3733)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (3733)Memory used [KB]: 5884
% 0.20/0.51  % (3733)Time elapsed: 0.103 s
% 0.20/0.51  % (3733)Instructions burned: 1 (million)
% 0.20/0.51  % (3733)------------------------------
% 0.20/0.51  % (3733)------------------------------
% 0.20/0.51  % (3731)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)
% 0.20/0.51  % (3731)Refutation not found, incomplete strategy% (3731)------------------------------
% 0.20/0.51  % (3731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (3731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (3731)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (3731)Memory used [KB]: 1279
% 0.20/0.52  % (3731)Time elapsed: 0.002 s
% 0.20/0.52  % (3731)Instructions burned: 1 (million)
% 0.20/0.52  % (3731)------------------------------
% 0.20/0.52  % (3731)------------------------------
% 0.20/0.52  % (3711)Refutation not found, incomplete strategy% (3711)------------------------------
% 0.20/0.52  % (3711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3711)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (3711)Memory used [KB]: 5756
% 0.20/0.52  % (3711)Time elapsed: 0.002 s
% 0.20/0.52  % (3711)Instructions burned: 1 (million)
% 0.20/0.52  % (3711)------------------------------
% 0.20/0.52  % (3711)------------------------------
% 0.20/0.52  % (3707)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)
% 0.20/0.52  % (3705)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)
% 0.20/0.52  % (3708)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  % (3710)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  % (3705)Refutation not found, incomplete strategy% (3705)------------------------------
% 0.20/0.52  % (3705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3708)Refutation not found, incomplete strategy% (3708)------------------------------
% 0.20/0.52  % (3708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3705)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  % (3708)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  % (3705)Memory used [KB]: 1407
% 0.20/0.52  % (3708)Memory used [KB]: 5756
% 0.20/0.52  % (3705)Time elapsed: 0.125 s
% 0.20/0.52  % (3708)Time elapsed: 0.002 s
% 0.20/0.52  % (3705)Instructions burned: 2 (million)
% 0.20/0.52  % (3708)------------------------------
% 0.20/0.52  % (3708)------------------------------
% 0.20/0.52  % (3705)------------------------------
% 0.20/0.52  % (3705)------------------------------
% 0.20/0.52  % (3725)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)
% 0.20/0.52  % (3729)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  % (3725)Refutation not found, incomplete strategy% (3725)------------------------------
% 0.20/0.52  % (3725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3725)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (3725)Memory used [KB]: 5756
% 0.20/0.52  % (3725)Time elapsed: 0.002 s
% 0.20/0.52  % (3725)Instructions burned: 2 (million)
% 0.20/0.52  % (3725)------------------------------
% 0.20/0.52  % (3725)------------------------------
% 0.20/0.52  % (3729)Refutation not found, incomplete strategy% (3729)------------------------------
% 0.20/0.52  % (3729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3729)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (3729)Memory used [KB]: 5756
% 0.20/0.52  % (3729)Time elapsed: 0.002 s
% 0.20/0.52  % (3729)Instructions burned: 1 (million)
% 0.20/0.52  % (3729)------------------------------
% 0.20/0.52  % (3729)------------------------------
% 0.20/0.52  % (3706)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)
% 0.20/0.52  % (3709)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  % (3723)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)
% 0.20/0.52  % (3726)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)
% 0.20/0.52  % (3719)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  % (3726)Refutation not found, incomplete strategy% (3726)------------------------------
% 0.20/0.53  % (3726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3726)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (3726)Memory used [KB]: 5884
% 0.20/0.53  % (3726)Time elapsed: 0.096 s
% 0.20/0.53  % (3726)Instructions burned: 1 (million)
% 0.20/0.53  % (3726)------------------------------
% 0.20/0.53  % (3726)------------------------------
% 0.20/0.53  % (3706)Instruction limit reached!
% 0.20/0.53  % (3706)------------------------------
% 0.20/0.53  % (3706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3706)Termination reason: Unknown
% 0.20/0.53  % (3706)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (3706)Memory used [KB]: 5884
% 0.20/0.53  % (3706)Time elapsed: 0.135 s
% 0.20/0.53  % (3706)Instructions burned: 5 (million)
% 0.20/0.53  % (3706)------------------------------
% 0.20/0.53  % (3706)------------------------------
% 0.20/0.53  % (3723)Refutation not found, incomplete strategy% (3723)------------------------------
% 0.20/0.53  % (3723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3723)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (3723)Memory used [KB]: 5884
% 0.20/0.53  % (3723)Time elapsed: 0.139 s
% 0.20/0.53  % (3723)Instructions burned: 1 (million)
% 0.20/0.53  % (3723)------------------------------
% 0.20/0.53  % (3723)------------------------------
% 0.20/0.53  % (3724)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)
% 0.20/0.53  % (3709)First to succeed.
% 0.20/0.53  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (3719)Instruction limit reached!
% 0.20/0.53  % (3719)------------------------------
% 0.20/0.53  % (3719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3719)Termination reason: Unknown
% 0.20/0.53  % (3719)Termination phase: Finite model building constraint generation
% 0.20/0.53  
% 0.20/0.53  % (3719)Memory used [KB]: 6012
% 0.20/0.53  % (3719)Time elapsed: 0.139 s
% 0.20/0.53  % (3719)Instructions burned: 6 (million)
% 0.20/0.53  % (3719)------------------------------
% 0.20/0.53  % (3719)------------------------------
% 0.20/0.53  % (3709)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (3709)------------------------------
% 0.20/0.53  % (3709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3709)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (3709)Memory used [KB]: 5884
% 0.20/0.53  % (3709)Time elapsed: 0.135 s
% 0.20/0.53  % (3709)Instructions burned: 2 (million)
% 0.20/0.53  % (3709)------------------------------
% 0.20/0.53  % (3709)------------------------------
% 0.20/0.53  % (3703)Success in time 0.18 s
%------------------------------------------------------------------------------