TSTP Solution File: GEO059-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO059-3 : 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 : n029.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 16:11:41 EDT 2022

% Result   : Unsatisfiable 0.17s 0.55s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   18 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f520,plain,
    $false,
    inference(resolution,[],[f198,f46]) ).

fof(f46,plain,
    ~ equidistant(v,u,v,extension(extension(u,v,u,v),v,extension(u,v,u,v),v)),
    inference(definition_unfolding,[],[f42,f19,f19]) ).

fof(f19,axiom,
    ! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflection) ).

fof(f42,axiom,
    ~ equidistant(v,u,v,reflection(reflection(u,v),v)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).

fof(f198,plain,
    ! [X21,X20] : equidistant(X20,X21,X20,extension(extension(X21,X20,X21,X20),X20,extension(X21,X20,X21,X20),X20)),
    inference(resolution,[],[f122,f66]) ).

fof(f66,plain,
    ! [X6,X7] : equidistant(extension(X6,X7,X6,X7),X7,X7,X6),
    inference(resolution,[],[f24,f48]) ).

fof(f48,plain,
    ! [X3,X10] : equidistant(X3,extension(X10,X3,X10,X3),X10,X3),
    inference(definition_unfolding,[],[f32,f19]) ).

fof(f32,axiom,
    ! [X3,X10] : equidistant(X3,reflection(X10,X3),X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_2) ).

fof(f24,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X3,X10,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).

fof(f122,plain,
    ! [X6,X7,X4,X5] :
      ( ~ equidistant(X4,X5,X6,X7)
      | equidistant(X6,X7,X5,extension(X4,X5,X4,X5)) ),
    inference(resolution,[],[f2,f54]) ).

fof(f54,plain,
    ! [X6,X7] : equidistant(X6,X7,X7,extension(X6,X7,X6,X7)),
    inference(resolution,[],[f21,f48]) ).

fof(f21,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X5,X0,X10,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Aug 29 21:14:56 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.48  % (16619)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.48  % (16616)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48  % (16615)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)
% 0.17/0.49  % (16627)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.49  % (16624)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)
% 0.17/0.49  % (16623)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)
% 0.17/0.50  TRYING [1]
% 0.17/0.50  % (16636)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)
% 0.17/0.50  % (16633)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)
% 0.17/0.50  % (16632)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)
% 0.17/0.50  TRYING [2]
% 0.17/0.50  % (16616)Instruction limit reached!
% 0.17/0.50  % (16616)------------------------------
% 0.17/0.50  % (16616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (16616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (16616)Termination reason: Unknown
% 0.17/0.50  % (16616)Termination phase: Saturation
% 0.17/0.50  
% 0.17/0.50  % (16616)Memory used [KB]: 5500
% 0.17/0.50  % (16616)Time elapsed: 0.116 s
% 0.17/0.50  % (16616)Instructions burned: 7 (million)
% 0.17/0.50  % (16616)------------------------------
% 0.17/0.50  % (16616)------------------------------
% 0.17/0.51  TRYING [3]
% 0.17/0.52  % (16617)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.52  % (16617)Instruction limit reached!
% 0.17/0.52  % (16617)------------------------------
% 0.17/0.52  % (16617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (16617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (16617)Termination reason: Unknown
% 0.17/0.52  % (16617)Termination phase: Property scanning
% 0.17/0.52  
% 0.17/0.52  % (16617)Memory used [KB]: 895
% 0.17/0.52  % (16617)Time elapsed: 0.002 s
% 0.17/0.52  % (16617)Instructions burned: 2 (million)
% 0.17/0.52  % (16617)------------------------------
% 0.17/0.52  % (16617)------------------------------
% 0.17/0.53  % (16612)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.53  % (16610)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)
% 0.17/0.54  % (16614)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)
% 0.17/0.54  % (16626)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.54  % (16635)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.55  % (16628)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)
% 0.17/0.55  % (16633)First to succeed.
% 0.17/0.55  % (16620)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.55  % (16639)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.55  % (16633)Refutation found. Thanks to Tanya!
% 0.17/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.55  % (16633)------------------------------
% 0.17/0.55  % (16633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55  % (16633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55  % (16633)Termination reason: Refutation
% 0.17/0.55  
% 0.17/0.55  % (16633)Memory used [KB]: 5628
% 0.17/0.55  % (16633)Time elapsed: 0.152 s
% 0.17/0.55  % (16633)Instructions burned: 26 (million)
% 0.17/0.55  % (16633)------------------------------
% 0.17/0.55  % (16633)------------------------------
% 0.17/0.55  % (16608)Success in time 0.212 s
%------------------------------------------------------------------------------