TSTP Solution File: GEO064-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO064-2 : 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 16:11:42 EDT 2022

% Result   : Unsatisfiable 1.65s 0.58s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            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   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f185,plain,
    $false,
    inference(subsumption_resolution,[],[f184,f25]) ).

fof(f25,plain,
    ~ between(u,v,w),
    inference(resolution,[],[f19,f24]) ).

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

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity1) ).

fof(f184,plain,
    between(u,v,w),
    inference(subsumption_resolution,[],[f183,f23]) ).

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

fof(f183,plain,
    ( ~ between(w,v,u)
    | between(u,v,w) ),
    inference(subsumption_resolution,[],[f181,f34]) ).

fof(f34,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f27]) ).

fof(f27,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(f181,plain,
    ( ~ between(v,u,u)
    | between(u,v,w)
    | ~ between(w,v,u) ),
    inference(superposition,[],[f9,f154]) ).

fof(f154,plain,
    v = inner_pasch(w,v,u,u,v),
    inference(resolution,[],[f142,f34]) ).

fof(f142,plain,
    ! [X38] :
      ( ~ between(v,X38,u)
      | v = inner_pasch(w,v,u,X38,v) ),
    inference(resolution,[],[f31,f23]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X3,X0,X2)
      | ~ between(X0,X1,X2)
      | inner_pasch(X3,X0,X2,X1,X0) = X0 ),
    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(X1,X0,X5)
      | ~ between(X10,X3,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(X1,X0,X5)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO064-2 : 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_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 21:06:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (8028)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  % (8027)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (8048)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56  % (8040)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.65/0.57  % (8027)Refutation not found, incomplete strategy% (8027)------------------------------
% 1.65/0.57  % (8027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57  % (8027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57  % (8027)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.57  
% 1.65/0.57  % (8027)Memory used [KB]: 5500
% 1.65/0.57  % (8027)Time elapsed: 0.150 s
% 1.65/0.57  % (8027)Instructions burned: 2 (million)
% 1.65/0.57  % (8027)------------------------------
% 1.65/0.57  % (8027)------------------------------
% 1.65/0.58  % (8047)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.65/0.58  % (8035)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.58  % (8028)First to succeed.
% 1.65/0.58  % (8030)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.58  % (8028)Refutation found. Thanks to Tanya!
% 1.65/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.65/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.58  % (8028)------------------------------
% 1.65/0.58  % (8028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58  % (8028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58  % (8028)Termination reason: Refutation
% 1.65/0.58  
% 1.65/0.58  % (8028)Memory used [KB]: 1151
% 1.65/0.58  % (8028)Time elapsed: 0.139 s
% 1.65/0.58  % (8028)Instructions burned: 16 (million)
% 1.65/0.58  % (8028)------------------------------
% 1.65/0.58  % (8028)------------------------------
% 1.65/0.58  % (8025)Success in time 0.227 s
%------------------------------------------------------------------------------