TSTP Solution File: GEO126-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n012.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 16:08:28 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   30 (  13 unt;   0 def)
%            Number of atoms       :   52 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  22   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f498,plain,
    $false,
    inference(subsumption_resolution,[],[f489,f431]) ).

fof(f431,plain,
    end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
    inference(subsumption_resolution,[],[f429,f115]) ).

fof(f115,plain,
    ! [X0] : ~ closed(ax2_sk3(X0)),
    inference(resolution,[],[f113,f73]) ).

fof(f73,axiom,
    ! [X0] : open(ax2_sk3(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_19) ).

fof(f113,plain,
    ! [X2] :
      ( ~ open(X2)
      | ~ closed(X2) ),
    inference(resolution,[],[f33,f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ~ end_point(X1,X0)
      | ~ closed(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_31) ).

fof(f33,axiom,
    ! [X0] :
      ( end_point(ax0_sk7(X0),X0)
      | ~ open(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn_33) ).

fof(f429,plain,
    ( closed(ax2_sk3(sk25))
    | end_point(ax2_sk6(sk25),ax2_sk3(sk25)) ),
    inference(superposition,[],[f32,f424]) ).

fof(f424,plain,
    ax2_sk6(sk25) = ax0_sk6(ax2_sk3(sk25)),
    inference(resolution,[],[f374,f83]) ).

fof(f83,axiom,
    ! [X0] : start_point(ax2_sk6(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o4_29) ).

fof(f374,plain,
    ! [X4] :
      ( ~ start_point(X4,sk25)
      | ax0_sk6(ax2_sk3(sk25)) = X4 ),
    inference(resolution,[],[f348,f121]) ).

fof(f121,plain,
    ! [X3] : incident_o(ax0_sk6(ax2_sk3(X3)),X3),
    inference(subsumption_resolution,[],[f119,f115]) ).

fof(f119,plain,
    ! [X3] :
      ( closed(ax2_sk3(X3))
      | incident_o(ax0_sk6(ax2_sk3(X3)),X3) ),
    inference(resolution,[],[f75,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( incident_c(ax0_sk6(X0),X0)
      | closed(X0) ),
    inference(resolution,[],[f32,f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | incident_c(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_13) ).

fof(f75,axiom,
    ! [X0,X1] :
      ( ~ incident_c(X0,ax2_sk3(X1))
      | incident_o(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_21) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ~ incident_o(X0,sk25)
      | ~ start_point(X1,sk25)
      | X0 = X1 ),
    inference(duplicate_literal_removal,[],[f343]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( ~ incident_o(X0,sk25)
      | ~ start_point(X1,sk25)
      | X0 = X1
      | X0 = X1 ),
    inference(resolution,[],[f62,f97]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ordered_by(sk25,X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_11_133) ).

fof(f62,axiom,
    ! [X2,X0,X1] :
      ( ordered_by(X1,X0,X2)
      | ~ incident_o(X2,X1)
      | ~ start_point(X0,X1)
      | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_8) ).

fof(f32,axiom,
    ! [X0] :
      ( end_point(ax0_sk6(X0),X0)
      | closed(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_32) ).

fof(f489,plain,
    ~ end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
    inference(superposition,[],[f107,f468]) ).

fof(f468,plain,
    ax0_sk8(ax2_sk3(sk25)) = ax2_sk6(sk25),
    inference(resolution,[],[f378,f83]) ).

fof(f378,plain,
    ! [X8] :
      ( ~ start_point(X8,sk25)
      | ax0_sk8(ax2_sk3(sk25)) = X8 ),
    inference(resolution,[],[f348,f118]) ).

fof(f118,plain,
    ! [X2] : incident_o(ax0_sk8(ax2_sk3(X2)),X2),
    inference(resolution,[],[f75,f106]) ).

fof(f106,plain,
    ! [X0] : incident_c(ax0_sk8(X0),X0),
    inference(resolution,[],[f21,f37]) ).

fof(f37,axiom,
    ! [X0] : inner_point(ax0_sk8(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3_37) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | incident_c(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_21) ).

fof(f107,plain,
    ! [X0] : ~ end_point(ax0_sk8(X0),X0),
    inference(resolution,[],[f22,f37]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | ~ end_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_22) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n012.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 21:16:06 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  % (14176)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.46  % (14168)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.47  % (14160)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.47  % (14168)Instruction limit reached!
% 0.18/0.47  % (14168)------------------------------
% 0.18/0.47  % (14168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (14168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (14168)Termination reason: Unknown
% 0.18/0.47  % (14168)Termination phase: Finite model building preprocessing
% 0.18/0.47  
% 0.18/0.47  % (14168)Memory used [KB]: 6012
% 0.18/0.47  % (14168)Time elapsed: 0.009 s
% 0.18/0.47  % (14168)Instructions burned: 8 (million)
% 0.18/0.47  % (14168)------------------------------
% 0.18/0.47  % (14168)------------------------------
% 0.18/0.47  % (14160)Refutation not found, incomplete strategy% (14160)------------------------------
% 0.18/0.47  % (14160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (14160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (14160)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.47  
% 0.18/0.47  % (14160)Memory used [KB]: 5884
% 0.18/0.47  % (14160)Time elapsed: 0.004 s
% 0.18/0.47  % (14160)Instructions burned: 1 (million)
% 0.18/0.47  % (14160)------------------------------
% 0.18/0.47  % (14160)------------------------------
% 0.18/0.48  % (14153)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.49  % (14177)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.49  % (14155)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.49  % (14155)Instruction limit reached!
% 0.18/0.49  % (14155)------------------------------
% 0.18/0.49  % (14155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (14155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (14155)Termination reason: Unknown
% 0.18/0.49  % (14155)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (14155)Memory used [KB]: 1407
% 0.18/0.49  % (14155)Time elapsed: 0.003 s
% 0.18/0.49  % (14155)Instructions burned: 5 (million)
% 0.18/0.49  % (14155)------------------------------
% 0.18/0.49  % (14155)------------------------------
% 0.18/0.50  % (14156)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.50  % (14169)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50  % (14166)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (14166)Instruction limit reached!
% 0.18/0.50  % (14166)------------------------------
% 0.18/0.50  % (14166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (14166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (14166)Termination reason: Unknown
% 0.18/0.50  % (14166)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (14166)Memory used [KB]: 1407
% 0.18/0.50  % (14166)Time elapsed: 0.002 s
% 0.18/0.50  % (14166)Instructions burned: 3 (million)
% 0.18/0.50  % (14166)------------------------------
% 0.18/0.50  % (14166)------------------------------
% 0.18/0.50  % (14163)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.50  % (14176)Instruction limit reached!
% 0.18/0.50  % (14176)------------------------------
% 0.18/0.50  % (14176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (14176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (14176)Termination reason: Unknown
% 0.18/0.50  % (14176)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (14176)Memory used [KB]: 6396
% 0.18/0.50  % (14176)Time elapsed: 0.079 s
% 0.18/0.50  % (14176)Instructions burned: 37 (million)
% 0.18/0.50  % (14176)------------------------------
% 0.18/0.50  % (14176)------------------------------
% 0.18/0.50  % (14169)Instruction limit reached!
% 0.18/0.50  % (14169)------------------------------
% 0.18/0.50  % (14169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (14169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (14169)Termination reason: Unknown
% 0.18/0.50  % (14169)Termination phase: Property scanning
% 0.18/0.50  
% 0.18/0.50  % (14169)Memory used [KB]: 1407
% 0.18/0.50  % (14169)Time elapsed: 0.003 s
% 0.18/0.50  % (14169)Instructions burned: 2 (million)
% 0.18/0.50  % (14169)------------------------------
% 0.18/0.50  % (14169)------------------------------
% 0.18/0.50  % (14161)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (14153)First to succeed.
% 0.18/0.51  % (14161)Instruction limit reached!
% 0.18/0.51  % (14161)------------------------------
% 0.18/0.51  % (14161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (14161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (14161)Termination reason: Unknown
% 0.18/0.51  % (14161)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (14161)Memory used [KB]: 1407
% 0.18/0.51  % (14161)Time elapsed: 0.005 s
% 0.18/0.51  % (14161)Instructions burned: 4 (million)
% 0.18/0.51  % (14161)------------------------------
% 0.18/0.51  % (14161)------------------------------
% 0.18/0.51  % (14167)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.18/0.51  % (14158)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51  % (14174)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.51  % (14174)Refutation not found, incomplete strategy% (14174)------------------------------
% 0.18/0.51  % (14174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (14174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (14174)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (14174)Memory used [KB]: 5884
% 0.18/0.51  % (14174)Time elapsed: 0.001 s
% 0.18/0.51  % (14174)------------------------------
% 0.18/0.51  % (14174)------------------------------
% 0.18/0.51  % (14153)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (14153)------------------------------
% 0.18/0.52  % (14153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (14153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (14153)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (14153)Memory used [KB]: 6268
% 0.18/0.52  % (14153)Time elapsed: 0.099 s
% 0.18/0.52  % (14153)Instructions burned: 24 (million)
% 0.18/0.52  % (14153)------------------------------
% 0.18/0.52  % (14153)------------------------------
% 0.18/0.52  % (14152)Success in time 0.171 s
%------------------------------------------------------------------------------