TSTP Solution File: GEO066-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO066-2 : 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 : n021.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 16:07:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   32 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,plain,
    $false,
    inference(subsumption_resolution,[],[f67,f27]) ).

fof(f27,plain,
    ~ between(w,u,v),
    inference(resolution,[],[f21,f24]) ).

fof(f24,axiom,
    ~ colinear(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_uvw_colinear) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity3) ).

fof(f67,plain,
    between(w,u,v),
    inference(subsumption_resolution,[],[f66,f36]) ).

fof(f36,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f32]) ).

fof(f32,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(f66,plain,
    ( ~ between(u,w,w)
    | between(w,u,v) ),
    inference(subsumption_resolution,[],[f64,f23]) ).

fof(f23,axiom,
    between(v,u,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).

fof(f64,plain,
    ( ~ between(v,u,w)
    | between(w,u,v)
    | ~ between(u,w,w) ),
    inference(superposition,[],[f9,f55]) ).

fof(f55,plain,
    u = inner_pasch(v,u,w,w,u),
    inference(resolution,[],[f49,f23]) ).

fof(f49,plain,
    ! [X8,X6,X7] :
      ( ~ between(X6,X7,X8)
      | inner_pasch(X6,X7,X8,X8,X7) = X7 ),
    inference(resolution,[],[f34,f36]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X3,X2)
      | ~ between(X0,X1,X2)
      | inner_pasch(X0,X1,X2,X3,X1) = X1 ),
    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(X10,X3,X5)
      | ~ between(X1,X0,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(X10,X3,X5)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO066-2 : 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 : n021.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 21:02:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (10065)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)
% 0.20/0.48  % (10081)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)
% 0.20/0.49  % (10072)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)
% 0.20/0.49  % (10065)Refutation not found, incomplete strategy% (10065)------------------------------
% 0.20/0.49  % (10065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (10065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (10065)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (10065)Memory used [KB]: 5884
% 0.20/0.49  % (10065)Time elapsed: 0.088 s
% 0.20/0.49  % (10065)Instructions burned: 1 (million)
% 0.20/0.49  % (10065)------------------------------
% 0.20/0.49  % (10065)------------------------------
% 0.20/0.49  % (10064)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)
% 0.20/0.49  % (10072)First to succeed.
% 0.20/0.49  % (10081)Instruction limit reached!
% 0.20/0.49  % (10081)------------------------------
% 0.20/0.49  % (10081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (10081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (10081)Termination reason: Unknown
% 0.20/0.49  % (10081)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (10081)Memory used [KB]: 5884
% 0.20/0.49  % (10081)Time elapsed: 0.097 s
% 0.20/0.49  % (10081)Instructions burned: 7 (million)
% 0.20/0.49  % (10081)------------------------------
% 0.20/0.49  % (10081)------------------------------
% 0.20/0.50  % (10072)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (10072)------------------------------
% 0.20/0.50  % (10072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (10072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (10072)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (10072)Memory used [KB]: 5884
% 0.20/0.50  % (10072)Time elapsed: 0.096 s
% 0.20/0.50  % (10072)Instructions burned: 5 (million)
% 0.20/0.50  % (10072)------------------------------
% 0.20/0.50  % (10072)------------------------------
% 0.20/0.50  % (10059)Success in time 0.145 s
%------------------------------------------------------------------------------