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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --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 16:11:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  12 unt;   0 def)
%            Number of atoms       :   28 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   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(f149,plain,
    $false,
    inference(subsumption_resolution,[],[f147,f24]) ).

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

fof(f147,plain,
    colinear(u,v,w),
    inference(superposition,[],[f83,f134]) ).

fof(f134,plain,
    u = inner_pasch(u,w,w,u,v),
    inference(resolution,[],[f131,f7]) ).

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

fof(f131,plain,
    ! [X0] : between(u,inner_pasch(X0,w,w,u,v),X0),
    inference(resolution,[],[f68,f43]) ).

fof(f43,plain,
    ! [X12,X13] : between(X12,X13,X13),
    inference(superposition,[],[f4,f38]) ).

fof(f38,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(f68,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,w)
      | between(u,inner_pasch(X0,X1,w,u,v),X0) ),
    inference(resolution,[],[f9,f23]) ).

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

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

fof(f83,plain,
    ! [X6] : colinear(inner_pasch(X6,w,w,u,v),v,w),
    inference(resolution,[],[f75,f21]) ).

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

fof(f75,plain,
    ! [X0] : between(w,inner_pasch(X0,w,w,u,v),v),
    inference(resolution,[],[f58,f43]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,w)
      | between(X1,inner_pasch(X0,X1,w,u,v),v) ),
    inference(resolution,[],[f8,f23]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO066-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 21:07:18 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (12232)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.48  % (12224)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.49  % (12221)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49  % (12215)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (12215)Instruction limit reached!
% 0.19/0.50  % (12215)------------------------------
% 0.19/0.50  % (12215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (12215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (12215)Termination reason: Unknown
% 0.19/0.50  % (12215)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (12215)Memory used [KB]: 5500
% 0.19/0.50  % (12215)Time elapsed: 0.076 s
% 0.19/0.50  % (12215)Instructions burned: 7 (million)
% 0.19/0.50  % (12215)------------------------------
% 0.19/0.50  % (12215)------------------------------
% 0.19/0.50  % (12212)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (12212)First to succeed.
% 0.19/0.50  % (12224)Also succeeded, but the first one will report.
% 0.19/0.50  % (12212)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (12212)------------------------------
% 0.19/0.50  % (12212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (12212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (12212)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (12212)Memory used [KB]: 5500
% 0.19/0.50  % (12212)Time elapsed: 0.116 s
% 0.19/0.50  % (12212)Instructions burned: 7 (million)
% 0.19/0.50  % (12212)------------------------------
% 0.19/0.50  % (12212)------------------------------
% 0.19/0.50  % (12206)Success in time 0.163 s
%------------------------------------------------------------------------------