TSTP Solution File: GEO067-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : 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 16:11:43 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   5 unt;   0 def)
%            Number of atoms       :   58 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (  45   ~;  35   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f202,plain,
    $false,
    inference(resolution,[],[f200,f52]) ).

fof(f52,axiom,
    ! [X3,X10] : between(X10,X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).

fof(f200,plain,
    ~ between(x,x,x),
    inference(resolution,[],[f191,f49]) ).

fof(f49,axiom,
    ! [X3,X10] : between(X10,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).

fof(f191,plain,
    ( ~ between(z,x,x)
    | ~ between(x,x,x) ),
    inference(resolution,[],[f187,f21]) ).

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

fof(f187,plain,
    ( ~ colinear(x,x,x)
    | ~ between(z,x,x) ),
    inference(resolution,[],[f179,f20]) ).

fof(f20,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X1,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity2) ).

fof(f179,plain,
    ( ~ colinear(x,z,x)
    | ~ colinear(x,x,x) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ( ~ colinear(x,z,x)
    | ~ colinear(x,x,x)
    | ~ colinear(x,x,x) ),
    inference(forward_demodulation,[],[f177,f140]) ).

fof(f140,plain,
    x = y,
    inference(resolution,[],[f139,f52]) ).

fof(f139,plain,
    ( ~ between(x,x,y)
    | x = y ),
    inference(resolution,[],[f138,f49]) ).

fof(f138,plain,
    ( ~ between(y,x,x)
    | ~ between(x,x,y)
    | x = y ),
    inference(resolution,[],[f135,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).

fof(f135,plain,
    ( ~ colinear(x,x,y)
    | x = y
    | ~ between(y,x,x) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ( ~ colinear(x,x,y)
    | ~ between(y,x,x)
    | ~ between(y,x,x)
    | x = y ),
    inference(resolution,[],[f20,f122]) ).

fof(f122,plain,
    ( ~ colinear(x,y,x)
    | ~ between(y,x,x)
    | ~ colinear(x,x,y)
    | x = y ),
    inference(resolution,[],[f19,f97]) ).

fof(f97,axiom,
    ( ~ colinear(y,x,x)
    | x = y
    | ~ colinear(x,y,x)
    | ~ colinear(x,x,y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_1) ).

fof(f177,plain,
    ( ~ colinear(x,y,x)
    | ~ colinear(x,z,x)
    | ~ colinear(x,x,x) ),
    inference(forward_demodulation,[],[f176,f140]) ).

fof(f176,plain,
    ( ~ colinear(x,x,x)
    | ~ colinear(x,z,y)
    | ~ colinear(x,y,x) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ( ~ colinear(x,z,y)
    | ~ colinear(x,x,x)
    | ~ colinear(x,y,x)
    | ~ colinear(x,x,x) ),
    inference(forward_demodulation,[],[f142,f140]) ).

fof(f142,plain,
    ( ~ colinear(y,x,x)
    | ~ colinear(x,z,y)
    | ~ colinear(x,y,x)
    | ~ colinear(x,x,x) ),
    inference(backward_demodulation,[],[f98,f140]) ).

fof(f98,axiom,
    ( ~ colinear(y,x,x)
    | ~ colinear(x,x,y)
    | ~ colinear(x,y,x)
    | ~ colinear(x,z,y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n024.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 21:09:19 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (9306)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.48  % (9294)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.49  % (9298)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (9303)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)
% 0.19/0.50  % (9303)First to succeed.
% 0.19/0.50  % (9313)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (9302)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (9295)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)
% 0.19/0.50  % (9302)Instruction limit reached!
% 0.19/0.50  % (9302)------------------------------
% 0.19/0.50  % (9302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (9302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (9302)Termination reason: Unknown
% 0.19/0.50  % (9302)Termination phase: Blocked clause elimination
% 0.19/0.50  
% 0.19/0.50  % (9302)Memory used [KB]: 1023
% 0.19/0.50  % (9302)Time elapsed: 0.003 s
% 0.19/0.50  % (9302)Instructions burned: 4 (million)
% 0.19/0.50  % (9302)------------------------------
% 0.19/0.50  % (9302)------------------------------
% 0.19/0.51  % (9317)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)
% 0.19/0.51  TRYING [3]
% 0.19/0.51  % (9316)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)
% 0.19/0.51  % (9304)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (9319)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (9300)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (9310)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (9309)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)
% 0.19/0.52  % (9299)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (9298)Also succeeded, but the first one will report.
% 0.19/0.52  % (9303)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (9303)------------------------------
% 0.19/0.52  % (9303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9303)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (9303)Memory used [KB]: 1023
% 0.19/0.52  % (9303)Time elapsed: 0.102 s
% 0.19/0.52  % (9303)Instructions burned: 10 (million)
% 0.19/0.52  % (9303)------------------------------
% 0.19/0.52  % (9303)------------------------------
% 0.19/0.52  % (9288)Success in time 0.176 s
%------------------------------------------------------------------------------