TSTP Solution File: GEO030-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO030-2 : 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 : n022.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 16:11:35 EDT 2022

% Result   : Unsatisfiable 1.14s 0.72s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (  14 unt;   0 def)
%            Number of atoms       :   60 (   6 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   68 (  34   ~;  34   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   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   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f329,plain,
    $false,
    inference(subsumption_resolution,[],[f323,f23]) ).

fof(f23,axiom,
    w != w1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_w1) ).

fof(f323,plain,
    w = w1,
    inference(resolution,[],[f232,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(f232,plain,
    equidistant(w,w1,w,w),
    inference(subsumption_resolution,[],[f229,f88]) ).

fof(f88,plain,
    equidistant(u,w1,u,w),
    inference(resolution,[],[f27,f40]) ).

fof(f40,plain,
    equidistant(w,u,u,w1),
    inference(resolution,[],[f25,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,w,X0,X1)
      | equidistant(X0,X1,u,w1) ),
    inference(resolution,[],[f2,f20]) ).

fof(f20,axiom,
    equidistant(u,w,u,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).

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) ).

fof(f27,plain,
    ! [X6,X7,X4,X5] :
      ( ~ equidistant(X4,X5,X6,X7)
      | equidistant(X6,X7,X5,X4) ),
    inference(resolution,[],[f2,f1]) ).

fof(f229,plain,
    ( ~ equidistant(u,w1,u,w)
    | equidistant(w,w1,w,w) ),
    inference(resolution,[],[f200,f89]) ).

fof(f89,plain,
    equidistant(v,w1,v,w),
    inference(resolution,[],[f27,f73]) ).

fof(f73,plain,
    equidistant(w,v,v,w1),
    inference(resolution,[],[f26,f1]) ).

fof(f26,plain,
    ! [X2,X3] :
      ( ~ equidistant(v,w,X2,X3)
      | equidistant(X2,X3,v,w1) ),
    inference(resolution,[],[f2,f21]) ).

fof(f21,axiom,
    equidistant(v,w,v,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ equidistant(v,X0,v,X1)
      | equidistant(w,X0,w,X1)
      | ~ equidistant(u,X0,u,X1) ),
    inference(subsumption_resolution,[],[f199,f87]) ).

fof(f87,plain,
    ! [X0,X1] : equidistant(X0,X1,X0,X1),
    inference(resolution,[],[f27,f1]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ equidistant(v,w,v,w)
      | equidistant(w,X0,w,X1)
      | ~ equidistant(v,X0,v,X1)
      | ~ equidistant(u,X0,u,X1) ),
    inference(resolution,[],[f105,f19]) ).

fof(f19,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f105,plain,
    ! [X3,X4,X5] :
      ( ~ between(u,v,X5)
      | ~ equidistant(u,X3,u,X4)
      | ~ equidistant(v,X3,v,X4)
      | equidistant(w,X3,X5,X4)
      | ~ equidistant(v,w,v,X5) ),
    inference(resolution,[],[f34,f87]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(u,v,X0,X1)
      | ~ equidistant(u,X3,X0,X4)
      | ~ equidistant(v,w,X1,X2)
      | ~ equidistant(v,X3,X1,X4)
      | equidistant(w,X3,X2,X4)
      | ~ between(X0,X1,X2) ),
    inference(subsumption_resolution,[],[f33,f22]) ).

fof(f22,axiom,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).

fof(f33,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(u,v,X0,X1)
      | u = v
      | ~ equidistant(v,X3,X1,X4)
      | ~ between(X0,X1,X2)
      | ~ equidistant(u,X3,X0,X4)
      | equidistant(w,X3,X2,X4)
      | ~ equidistant(v,w,X1,X2) ),
    inference(resolution,[],[f6,f19]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO030-2 : 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
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 20:59:41 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  ipcrm: permission denied for id (639336449)
% 0.12/0.37  ipcrm: permission denied for id (639369229)
% 0.12/0.39  ipcrm: permission denied for id (639402012)
% 0.19/0.44  ipcrm: permission denied for id (639500363)
% 0.19/0.45  ipcrm: permission denied for id (639533136)
% 0.19/0.48  ipcrm: permission denied for id (639598694)
% 0.19/0.48  ipcrm: permission denied for id (639631463)
% 1.14/0.65  % (18076)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.14/0.66  % (18068)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 (2998ds/37Mi)
% 1.14/0.66  % (18066)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 (2998ds/191324Mi)
% 1.14/0.66  % (18074)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.14/0.66  % (18074)Instruction limit reached!
% 1.14/0.66  % (18074)------------------------------
% 1.14/0.66  % (18074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.66  % (18074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.14/0.66  % (18074)Termination reason: Unknown
% 1.14/0.66  % (18074)Termination phase: Blocked clause elimination
% 1.14/0.66  
% 1.14/0.66  % (18074)Memory used [KB]: 895
% 1.14/0.66  % (18074)Time elapsed: 0.003 s
% 1.14/0.66  % (18074)Instructions burned: 2 (million)
% 1.14/0.66  % (18074)------------------------------
% 1.14/0.66  % (18074)------------------------------
% 1.14/0.66  TRYING [1]
% 1.14/0.66  TRYING [2]
% 1.14/0.67  % (18070)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.14/0.67  % (18082)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 (2998ds/99Mi)
% 1.14/0.67  % (18075)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 (2998ds/51Mi)
% 1.14/0.67  TRYING [3]
% 1.14/0.68  % (18093)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 (2998ds/68Mi)
% 1.14/0.68  % (18078)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.14/0.68  % (18069)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.14/0.68  % (18094)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 (2998ds/177Mi)
% 1.14/0.68  % (18071)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 (2998ds/48Mi)
% 1.14/0.69  % (18087)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 (2998ds/176Mi)
% 1.14/0.69  % (18085)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.14/0.69  % (18083)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.14/0.69  % (18067)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.14/0.69  % (18072)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.14/0.69  % (18067)Refutation not found, incomplete strategy% (18067)------------------------------
% 1.14/0.69  % (18067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.69  % (18067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.14/0.69  % (18067)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.69  
% 1.14/0.69  % (18067)Memory used [KB]: 5500
% 1.14/0.69  % (18067)Time elapsed: 0.124 s
% 1.14/0.69  % (18067)Instructions burned: 2 (million)
% 1.14/0.69  % (18067)------------------------------
% 1.14/0.69  % (18067)------------------------------
% 1.14/0.69  TRYING [1]
% 1.14/0.69  TRYING [2]
% 1.14/0.70  % (18097)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 (2998ds/355Mi)
% 1.14/0.70  % (18096)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.14/0.70  % (18090)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 (2998ds/467Mi)
% 1.14/0.70  % (18088)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.14/0.70  % (18092)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.14/0.70  % (18077)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.14/0.70  % (18081)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 (2998ds/75Mi)
% 1.14/0.71  % (18079)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.14/0.71  % (18080)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 (2998ds/68Mi)
% 1.14/0.71  TRYING [1]
% 1.14/0.71  TRYING [2]
% 1.14/0.71  % (18086)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 (2998ds/100Mi)
% 1.14/0.71  TRYING [3]
% 1.14/0.71  % (18073)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.14/0.71  % (18089)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 (2998ds/498Mi)
% 1.14/0.72  % (18091)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.14/0.72  TRYING [3]
% 1.14/0.72  % (18090)First to succeed.
% 1.14/0.72  % (18090)Refutation found. Thanks to Tanya!
% 1.14/0.72  % SZS status Unsatisfiable for theBenchmark
% 1.14/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 1.14/0.72  % (18090)------------------------------
% 1.14/0.72  % (18090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.72  % (18090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.14/0.72  % (18090)Termination reason: Refutation
% 1.14/0.72  
% 1.14/0.72  % (18090)Memory used [KB]: 5500
% 1.14/0.72  % (18090)Time elapsed: 0.104 s
% 1.14/0.72  % (18090)Instructions burned: 11 (million)
% 1.14/0.72  % (18090)------------------------------
% 1.14/0.72  % (18090)------------------------------
% 1.14/0.72  % (17848)Success in time 0.378 s
%------------------------------------------------------------------------------