TSTP Solution File: GEO030-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO030-3 : 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 : n005.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 16:11:36 EDT 2022

% Result   : Unsatisfiable 0.16s 0.54s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   50 (   6 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   60 (  30   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f730,plain,
    $false,
    inference(subsumption_resolution,[],[f719,f69]) ).

fof(f69,axiom,
    w != w1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_w1) ).

fof(f719,plain,
    w = w1,
    inference(resolution,[],[f711,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(f711,plain,
    equidistant(w,w1,w,w),
    inference(subsumption_resolution,[],[f710,f92]) ).

fof(f92,plain,
    equidistant(u,w1,u,w),
    inference(resolution,[],[f21,f66]) ).

fof(f66,axiom,
    equidistant(u,w,u,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).

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(f710,plain,
    ( ~ equidistant(u,w1,u,w)
    | equidistant(w,w1,w,w) ),
    inference(resolution,[],[f694,f93]) ).

fof(f93,plain,
    equidistant(v,w1,v,w),
    inference(resolution,[],[f21,f67]) ).

fof(f67,axiom,
    equidistant(v,w,v,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).

fof(f694,plain,
    ! [X0,X1] :
      ( ~ equidistant(v,X0,v,X1)
      | equidistant(w,X0,w,X1)
      | ~ equidistant(u,X0,u,X1) ),
    inference(subsumption_resolution,[],[f684,f20]) ).

fof(f20,axiom,
    ! [X3,X10] : equidistant(X10,X3,X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).

fof(f684,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,X0,u,X1)
      | ~ equidistant(v,X0,v,X1)
      | equidistant(w,X0,w,X1)
      | ~ equidistant(v,w,v,w) ),
    inference(resolution,[],[f622,f65]) ).

fof(f65,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f622,plain,
    ! [X3,X4,X5] :
      ( ~ between(u,v,X5)
      | ~ equidistant(v,X3,v,X4)
      | ~ equidistant(u,X3,u,X4)
      | equidistant(w,X3,X5,X4)
      | ~ equidistant(v,w,v,X5) ),
    inference(resolution,[],[f425,f20]) ).

fof(f425,plain,
    ! [X18,X16,X14,X17,X15] :
      ( ~ equidistant(u,v,X16,X14)
      | ~ equidistant(u,X17,X16,X18)
      | ~ between(X16,X14,X15)
      | ~ equidistant(v,X17,X14,X18)
      | equidistant(w,X17,X15,X18)
      | ~ equidistant(v,w,X14,X15) ),
    inference(subsumption_resolution,[],[f423,f68]) ).

fof(f68,axiom,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).

fof(f423,plain,
    ! [X18,X16,X14,X17,X15] :
      ( ~ between(X16,X14,X15)
      | ~ equidistant(u,v,X16,X14)
      | equidistant(w,X17,X15,X18)
      | ~ equidistant(u,X17,X16,X18)
      | u = v
      | ~ equidistant(v,w,X14,X15)
      | ~ equidistant(v,X17,X14,X18) ),
    inference(resolution,[],[f6,f65]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7] :
      ( ~ between(X0,X1,X2)
      | ~ equidistant(X1,X2,X7,X8)
      | ~ between(X6,X7,X8)
      | ~ equidistant(X0,X1,X6,X7)
      | ~ equidistant(X1,X3,X7,X9)
      | ~ equidistant(X0,X3,X6,X9)
      | X0 = X1
      | equidistant(X2,X3,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_five_segment) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEO030-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Aug 29 20:58:18 EDT 2022
% 0.16/0.31  % CPUTime    : 
% 0.16/0.47  % (17449)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)
% 0.16/0.47  % (17440)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)
% 0.16/0.47  % (17458)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)
% 0.16/0.47  % (17441)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48  % (17448)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)
% 0.16/0.48  % (17441)Instruction limit reached!
% 0.16/0.48  % (17441)------------------------------
% 0.16/0.48  % (17441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (17441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (17441)Termination reason: Unknown
% 0.16/0.48  % (17441)Termination phase: Saturation
% 0.16/0.48  
% 0.16/0.48  % (17441)Memory used [KB]: 5500
% 0.16/0.48  % (17441)Time elapsed: 0.090 s
% 0.16/0.48  % (17441)Instructions burned: 7 (million)
% 0.16/0.48  % (17441)------------------------------
% 0.16/0.48  % (17441)------------------------------
% 0.16/0.48  % (17457)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)
% 0.16/0.49  TRYING [3]
% 0.16/0.50  % (17438)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (17439)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)
% 0.16/0.51  % (17436)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)
% 0.16/0.51  % (17442)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51  % (17442)Instruction limit reached!
% 0.16/0.51  % (17442)------------------------------
% 0.16/0.51  % (17442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51  % (17442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51  % (17442)Termination reason: Unknown
% 0.16/0.51  % (17442)Termination phase: Blocked clause elimination
% 0.16/0.51  
% 0.16/0.51  % (17442)Memory used [KB]: 895
% 0.16/0.51  % (17442)Time elapsed: 0.004 s
% 0.16/0.51  % (17442)Instructions burned: 3 (million)
% 0.16/0.51  % (17442)------------------------------
% 0.16/0.51  % (17442)------------------------------
% 0.16/0.52  % (17434)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)
% 0.16/0.52  % (17453)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.52  % (17462)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.52  % (17455)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.53  % (17437)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)
% 0.16/0.53  % (17459)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.53  % (17444)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53  % (17452)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.53  % (17456)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.53  % (17463)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.53  % (17458)First to succeed.
% 0.16/0.53  % (17451)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)
% 0.16/0.54  % (17445)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)
% 0.16/0.54  % (17458)Refutation found. Thanks to Tanya!
% 0.16/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.54  % (17458)------------------------------
% 0.16/0.54  % (17458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (17458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54  % (17458)Termination reason: Refutation
% 0.16/0.54  
% 0.16/0.54  % (17458)Memory used [KB]: 5628
% 0.16/0.54  % (17458)Time elapsed: 0.141 s
% 0.16/0.54  % (17458)Instructions burned: 36 (million)
% 0.16/0.54  % (17458)------------------------------
% 0.16/0.54  % (17458)------------------------------
% 0.16/0.54  % (17433)Success in time 0.217 s
%------------------------------------------------------------------------------