TSTP Solution File: GEO127-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO127-1 : 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_sat --cores 0 -t %d %s

% Computer : n027.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 16:11:56 EDT 2022

% Result   : Unsatisfiable 1.56s 0.55s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   58 (  23 unt;   3 typ;   0 def)
%            Number of atoms       :   95 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   80 (  40   ~;  40   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-1 aty)
%            Number of variables   :   67 (  67   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_15,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_16,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_17,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f708,plain,
    $false,
    inference(subsumption_resolution,[],[f707,f638]) ).

fof(f638,plain,
    ~ inner_point(sk26,ax2_sk3(sk25)),
    inference(superposition,[],[f397,f625]) ).

fof(f625,plain,
    sk26 = ax0_sk6(ax2_sk3(sk25)),
    inference(resolution,[],[f623,f398]) ).

fof(f398,plain,
    ! [X0] : incident_o(ax0_sk6(ax2_sk3(X0)),X0),
    inference(resolution,[],[f396,f200]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ incident_c(X0,ax2_sk3(X1))
      | incident_o(X0,X1) ),
    inference(literal_reordering,[],[f75]) ).

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(f396,plain,
    ! [X3] : incident_c(ax0_sk6(ax2_sk3(X3)),ax2_sk3(X3)),
    inference(resolution,[],[f385,f203]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | incident_c(X0,X1) ),
    inference(literal_reordering,[],[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(f385,plain,
    ! [X0] : end_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[],[f303,f301]) ).

fof(f301,plain,
    ! [X0] : end_point(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[],[f111,f118]) ).

fof(f118,plain,
    ! [X0] : open(ax2_sk3(X0)),
    inference(literal_reordering,[],[f73]) ).

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

fof(f111,plain,
    ! [X0] :
      ( ~ open(X0)
      | end_point(ax0_sk7(X0),X0) ),
    inference(literal_reordering,[],[f33]) ).

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

fof(f303,plain,
    ! [X0,X1] :
      ( ~ end_point(X1,X0)
      | end_point(ax0_sk6(X0),X0) ),
    inference(resolution,[],[f116,f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ closed(X0)
      | ~ end_point(X1,X0) ),
    inference(literal_reordering,[],[f31]) ).

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

fof(f116,plain,
    ! [X0] :
      ( closed(X0)
      | end_point(ax0_sk6(X0),X0) ),
    inference(literal_reordering,[],[f32]) ).

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

fof(f623,plain,
    ! [X0] :
      ( ~ incident_o(X0,sk25)
      | sk26 = X0 ),
    inference(subsumption_resolution,[],[f621,f314]) ).

fof(f314,plain,
    ! [X0] : ~ ordered_by(sk25,sk26,X0),
    inference(subsumption_resolution,[],[f202,f313]) ).

fof(f313,plain,
    incident_o(sk26,sk25),
    inference(subsumption_resolution,[],[f312,f199]) ).

fof(f199,plain,
    ! [X2,X0,X1] :
      ( ~ ordered_by(X0,X1,X2)
      | incident_o(X2,X0) ),
    inference(literal_reordering,[],[f72]) ).

fof(f72,axiom,
    ! [X2,X0,X1] :
      ( incident_o(X2,X0)
      | ~ ordered_by(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_18) ).

fof(f312,plain,
    ( incident_o(sk26,sk25)
    | ordered_by(sk25,sk27,sk26) ),
    inference(subsumption_resolution,[],[f158,f173]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( ~ ordered_by(X0,X1,X2)
      | incident_o(X1,X0) ),
    inference(literal_reordering,[],[f71]) ).

fof(f71,axiom,
    ! [X2,X0,X1] :
      ( incident_o(X1,X0)
      | ~ ordered_by(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_17) ).

fof(f158,plain,
    ( incident_o(sk26,sk25)
    | ordered_by(sk25,sk27,sk26)
    | ordered_by(sk25,sk26,sk27) ),
    inference(literal_reordering,[],[f97]) ).

fof(f97,axiom,
    ( ordered_by(sk25,sk27,sk26)
    | ordered_by(sk25,sk26,sk27)
    | incident_o(sk26,sk25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_133) ).

fof(f202,plain,
    ! [X0] :
      ( ~ incident_o(sk26,sk25)
      | ~ ordered_by(sk25,sk26,X0) ),
    inference(literal_reordering,[],[f101]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ ordered_by(sk25,sk26,X0)
      | ~ incident_o(sk26,sk25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_137) ).

fof(f621,plain,
    ! [X0] :
      ( sk26 = X0
      | ~ incident_o(X0,sk25)
      | ordered_by(sk25,sk26,X0) ),
    inference(resolution,[],[f614,f201]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( ~ start_point(X0,X1)
      | ordered_by(X1,X0,X2)
      | ~ incident_o(X2,X1)
      | X0 = X2 ),
    inference(literal_reordering,[],[f62]) ).

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

fof(f614,plain,
    start_point(sk26,sk25),
    inference(superposition,[],[f121,f609]) ).

fof(f609,plain,
    sk26 = ax2_sk6(sk25),
    inference(subsumption_resolution,[],[f608,f315]) ).

fof(f315,plain,
    ! [X0] : ~ ordered_by(sk25,X0,sk26),
    inference(subsumption_resolution,[],[f187,f313]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ incident_o(sk26,sk25)
      | ~ ordered_by(sk25,X0,sk26) ),
    inference(literal_reordering,[],[f102]) ).

fof(f102,axiom,
    ! [X0] :
      ( ~ ordered_by(sk25,X0,sk26)
      | ~ incident_o(sk26,sk25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12_138) ).

fof(f608,plain,
    ( sk26 = ax2_sk6(sk25)
    | ordered_by(sk25,ax2_sk6(sk25),sk26) ),
    inference(resolution,[],[f391,f313]) ).

fof(f391,plain,
    ! [X0,X1] :
      ( ~ incident_o(X1,X0)
      | ordered_by(X0,ax2_sk6(X0),X1)
      | ax2_sk6(X0) = X1 ),
    inference(resolution,[],[f201,f121]) ).

fof(f121,plain,
    ! [X0] : start_point(ax2_sk6(X0),X0),
    inference(literal_reordering,[],[f83]) ).

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

fof(f397,plain,
    ! [X4] : ~ inner_point(ax0_sk6(ax2_sk3(X4)),ax2_sk3(X4)),
    inference(resolution,[],[f385,f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | ~ inner_point(X0,X1) ),
    inference(literal_reordering,[],[f22]) ).

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

fof(f707,plain,
    inner_point(sk26,ax2_sk3(sk25)),
    inference(superposition,[],[f183,f628]) ).

fof(f628,plain,
    sk26 = ax0_sk8(ax2_sk3(sk25)),
    inference(resolution,[],[f623,f311]) ).

fof(f311,plain,
    ! [X0] : incident_o(ax0_sk8(ax2_sk3(X0)),X0),
    inference(resolution,[],[f200,f305]) ).

fof(f305,plain,
    ! [X0] : incident_c(ax0_sk8(X0),X0),
    inference(resolution,[],[f171,f183]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | incident_c(X0,X1) ),
    inference(literal_reordering,[],[f21]) ).

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

fof(f183,plain,
    ! [X0] : inner_point(ax0_sk8(X0),X0),
    inference(literal_reordering,[],[f37]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem    : GEO127-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12  % 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 : n027.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 21:32:15 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.17/0.50  % (3059)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.50  % (3054)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50  % (3067)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)
% 0.17/0.51  % (3061)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)
% 0.17/0.51  % (3051)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.51  % (3052)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)
% 0.17/0.51  % (3047)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)
% 0.17/0.52  % (3054)Instruction limit reached!
% 0.17/0.52  % (3054)------------------------------
% 0.17/0.52  % (3054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (3048)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)
% 0.17/0.52  % (3046)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)
% 0.17/0.52  % (3054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (3054)Termination reason: Unknown
% 0.17/0.52  % (3054)Termination phase: Saturation
% 0.17/0.52  
% 0.17/0.52  % (3054)Memory used [KB]: 5628
% 0.17/0.52  % (3054)Time elapsed: 0.128 s
% 0.17/0.52  % (3054)Instructions burned: 8 (million)
% 0.17/0.52  % (3054)------------------------------
% 0.17/0.52  % (3054)------------------------------
% 0.17/0.52  % (3072)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.52  % (3069)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)
% 0.17/0.52  % (3055)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  % (3060)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.52  % (3055)Instruction limit reached!
% 0.17/0.52  % (3055)------------------------------
% 0.17/0.52  % (3055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (3063)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)
% 0.17/0.53  % (3055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (3055)Termination reason: Unknown
% 0.17/0.53  % (3055)Termination phase: Blocked clause elimination
% 0.17/0.53  
% 0.17/0.53  % (3055)Memory used [KB]: 1023
% 0.17/0.53  % (3055)Time elapsed: 0.003 s
% 0.17/0.53  % (3055)Instructions burned: 3 (million)
% 0.17/0.53  % (3055)------------------------------
% 0.17/0.53  % (3055)------------------------------
% 0.17/0.53  % (3074)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)
% 0.17/0.53  % (3065)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53  % (3070)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)
% 0.17/0.53  % (3058)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)
% 0.17/0.53  % (3066)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)
% 0.17/0.54  % (3053)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)
% 0.17/0.54  % (3047)Refutation not found, incomplete strategy% (3047)------------------------------
% 0.17/0.54  % (3047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (3062)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)
% 1.56/0.54  % (3061)First to succeed.
% 1.56/0.54  % (3050)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)
% 1.56/0.55  % (3073)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)
% 1.56/0.55  % (3061)Refutation found. Thanks to Tanya!
% 1.56/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.55  % (3061)------------------------------
% 1.56/0.55  % (3061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (3061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (3061)Termination reason: Refutation
% 1.56/0.55  
% 1.56/0.55  % (3061)Memory used [KB]: 6268
% 1.56/0.55  % (3061)Time elapsed: 0.026 s
% 1.56/0.55  % (3061)Instructions burned: 28 (million)
% 1.56/0.55  % (3061)------------------------------
% 1.56/0.55  % (3061)------------------------------
% 1.56/0.55  % (3044)Success in time 0.214 s
%------------------------------------------------------------------------------