TSTP Solution File: GEO297+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO297+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 : Tue Apr 30 11:15:18 EDT 2024

% Result   : Theorem 22.97s 3.66s
% Output   : Refutation 22.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  103 (  47 unt;   0 def)
%            Number of atoms       :  467 ( 178 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  602 ( 238   ~; 223   |; 125   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  19 con; 0-3 aty)
%            Number of variables   :  154 ( 121   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42322,plain,
    $false,
    inference(avatar_sat_refutation,[],[f6577,f6948,f7485,f42304]) ).

fof(f42304,plain,
    ~ spl59_63,
    inference(avatar_contradiction_clause,[],[f42303]) ).

fof(f42303,plain,
    ( $false
    | ~ spl59_63 ),
    inference(subsumption_resolution,[],[f42302,f626]) ).

fof(f626,plain,
    rline(vd1232),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    rline(vd1232),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)') ).

fof(f42302,plain,
    ( ~ rline(vd1232)
    | ~ spl59_63 ),
    inference(subsumption_resolution,[],[f42301,f1626]) ).

fof(f1626,plain,
    ron(sK8,vd1232),
    inference(backward_demodulation,[],[f1574,f1623]) ).

fof(f1623,plain,
    vd1199 = sK8,
    inference(backward_demodulation,[],[f633,f672]) ).

fof(f672,plain,
    vd1185 = sK8,
    inference(cnf_transformation,[],[f500]) ).

fof(f500,plain,
    ( rpoint(sK5)
    & vd1178 = sK5
    & rpoint(sK6)
    & vd1179 = sK6
    & rpoint(sK7)
    & vd1180 = sK7
    & vd1179 != vd1178
    & vd1178 != vd1180
    & vd1179 != vd1180
    & rpoint(sK8)
    & vd1185 = sK8
    & rpoint(sK9)
    & vd1186 = sK9
    & rpoint(sK10)
    & vd1187 = sK10
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
    & ! [X6] :
        ( ~ rline(X6)
        | ~ ron(vd1185,X6)
        | ~ ron(vd1186,X6)
        | ~ ron(vd1187,X6) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10])],[f273,f499,f498,f497,f496,f495,f494]) ).

fof(f494,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1178 = X0 )
   => ( rpoint(sK5)
      & vd1178 = sK5 ) ),
    introduced(choice_axiom,[]) ).

fof(f495,plain,
    ( ? [X1] :
        ( rpoint(X1)
        & vd1179 = X1 )
   => ( rpoint(sK6)
      & vd1179 = sK6 ) ),
    introduced(choice_axiom,[]) ).

fof(f496,plain,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1180 = X2 )
   => ( rpoint(sK7)
      & vd1180 = sK7 ) ),
    introduced(choice_axiom,[]) ).

fof(f497,plain,
    ( ? [X3] :
        ( rpoint(X3)
        & vd1185 = X3 )
   => ( rpoint(sK8)
      & vd1185 = sK8 ) ),
    introduced(choice_axiom,[]) ).

fof(f498,plain,
    ( ? [X4] :
        ( rpoint(X4)
        & vd1186 = X4 )
   => ( rpoint(sK9)
      & vd1186 = sK9 ) ),
    introduced(choice_axiom,[]) ).

fof(f499,plain,
    ( ? [X5] :
        ( rpoint(X5)
        & vd1187 = X5 )
   => ( rpoint(sK10)
      & vd1187 = sK10 ) ),
    introduced(choice_axiom,[]) ).

fof(f273,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1178 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1179 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1180 = X2 )
    & vd1179 != vd1178
    & vd1178 != vd1180
    & vd1179 != vd1180
    & ? [X3] :
        ( rpoint(X3)
        & vd1185 = X3 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1186 = X4 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1187 = X5 )
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
    & ! [X6] :
        ( ~ rline(X6)
        | ~ ron(vd1185,X6)
        | ~ ron(vd1186,X6)
        | ~ ron(vd1187,X6) ) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1178 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1179 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1180 = X2 )
    & vd1179 != vd1178
    & vd1178 != vd1180
    & vd1179 != vd1180
    & ? [X3] :
        ( rpoint(X3)
        & vd1185 = X3 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1186 = X4 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1187 = X5 )
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
    & ~ ? [X6] :
          ( rline(X6)
          & ron(vd1185,X6)
          & ron(vd1186,X6)
          & ron(vd1187,X6) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ( ? [X14] :
        ( rpoint(X14)
        & vd1178 = X14 )
    & ? [X13] :
        ( rpoint(X13)
        & vd1179 = X13 )
    & ? [X12] :
        ( rpoint(X12)
        & vd1180 = X12 )
    & vd1179 != vd1178
    & vd1178 != vd1180
    & vd1179 != vd1180
    & ? [X11] :
        ( rpoint(X11)
        & vd1185 = X11 )
    & ? [X10] :
        ( rpoint(X10)
        & vd1186 = X10 )
    & ? [X9] :
        ( rpoint(X9)
        & vd1187 = X9 )
    & vf(vd1178,vd1179) = vf(vd1185,vd1186)
    & vf(vd1178,vd1180) = vf(vd1185,vd1187)
    & vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
    & ~ ? [X8] :
          ( rline(X8)
          & ron(vd1185,X8)
          & ron(vd1186,X8)
          & ron(vd1187,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).

fof(f633,plain,
    vd1185 = vd1199,
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    vd1185 = vd1199,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).

fof(f1574,plain,
    ron(vd1199,vd1232),
    inference(forward_demodulation,[],[f643,f633]) ).

fof(f643,plain,
    ron(vd1185,vd1232),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ron(vd1185,vd1232),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).

fof(f42301,plain,
    ( ~ ron(sK8,vd1232)
    | ~ rline(vd1232)
    | ~ spl59_63 ),
    inference(subsumption_resolution,[],[f42244,f1647]) ).

fof(f1647,plain,
    ron(sK10,vd1232),
    inference(backward_demodulation,[],[f635,f668]) ).

fof(f668,plain,
    vd1187 = sK10,
    inference(cnf_transformation,[],[f500]) ).

fof(f635,plain,
    ron(vd1187,vd1232),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ron(vd1187,vd1232),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).

fof(f42244,plain,
    ( ~ ron(sK10,vd1232)
    | ~ ron(sK8,vd1232)
    | ~ rline(vd1232)
    | ~ spl59_63 ),
    inference(resolution,[],[f6576,f1747]) ).

fof(f1747,plain,
    ~ ron(sK57,vd1232),
    inference(backward_demodulation,[],[f630,f923]) ).

fof(f923,plain,
    vd1201 = sK57,
    inference(cnf_transformation,[],[f621]) ).

fof(f621,plain,
    ( rpoint(sK57)
    & vd1201 = sK57 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f267,f620]) ).

fof(f620,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1201 = X0 )
   => ( rpoint(sK57)
      & vd1201 = sK57 ) ),
    introduced(choice_axiom,[]) ).

fof(f267,plain,
    ? [X0] :
      ( rpoint(X0)
      & vd1201 = X0 ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ? [X15] :
      ( rpoint(X15)
      & vd1201 = X15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).

fof(f630,plain,
    ~ ron(vd1201,vd1232),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    ~ ron(vd1201,vd1232),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(296))') ).

fof(f6576,plain,
    ( ! [X0] :
        ( ron(sK57,X0)
        | ~ ron(sK10,X0)
        | ~ ron(sK8,X0)
        | ~ rline(X0) )
    | ~ spl59_63 ),
    inference(avatar_component_clause,[],[f6575]) ).

fof(f6575,plain,
    ( spl59_63
  <=> ! [X0] :
        ( ron(sK57,X0)
        | ~ ron(sK10,X0)
        | ~ ron(sK8,X0)
        | ~ rline(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_63])]) ).

fof(f7485,plain,
    ~ spl59_24,
    inference(avatar_contradiction_clause,[],[f7484]) ).

fof(f7484,plain,
    ( $false
    | ~ spl59_24 ),
    inference(subsumption_resolution,[],[f7190,f1624]) ).

fof(f1624,plain,
    ron(sK8,vd1197),
    inference(backward_demodulation,[],[f639,f1623]) ).

fof(f639,plain,
    ron(vd1199,vd1197),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ron(vd1199,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(272, 0)') ).

fof(f7190,plain,
    ( ~ ron(sK8,vd1197)
    | ~ spl59_24 ),
    inference(backward_demodulation,[],[f2906,f2845]) ).

fof(f2845,plain,
    ( sK8 = sK57
    | ~ spl59_24 ),
    inference(avatar_component_clause,[],[f2843]) ).

fof(f2843,plain,
    ( spl59_24
  <=> sK8 = sK57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_24])]) ).

fof(f2906,plain,
    ~ ron(sK57,vd1197),
    inference(subsumption_resolution,[],[f2905,f627]) ).

fof(f627,plain,
    rline(vd1197),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    rline(vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).

fof(f2905,plain,
    ( ~ rline(vd1197)
    | ~ ron(sK57,vd1197) ),
    inference(subsumption_resolution,[],[f2904,f669]) ).

fof(f669,plain,
    rpoint(sK10),
    inference(cnf_transformation,[],[f500]) ).

fof(f2904,plain,
    ( ~ rpoint(sK10)
    | ~ rline(vd1197)
    | ~ ron(sK57,vd1197) ),
    inference(subsumption_resolution,[],[f2896,f924]) ).

fof(f924,plain,
    rpoint(sK57),
    inference(cnf_transformation,[],[f621]) ).

fof(f2896,plain,
    ( ~ rpoint(sK57)
    | ~ rpoint(sK10)
    | ~ rline(vd1197)
    | ~ ron(sK57,vd1197) ),
    inference(resolution,[],[f1142,f1756]) ).

fof(f1756,plain,
    rS(sK57,sK10,vd1197),
    inference(backward_demodulation,[],[f1649,f923]) ).

fof(f1649,plain,
    rS(vd1201,sK10,vd1197),
    inference(backward_demodulation,[],[f650,f668]) ).

fof(f650,plain,
    rS(vd1201,vd1187,vd1197),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    rS(vd1201,vd1187,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).

fof(f1142,plain,
    ! [X3,X4,X5] :
      ( ~ rS(X4,X5,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | ~ ron(X4,X3) ),
    inference(equality_resolution,[],[f1141]) ).

fof(f1141,plain,
    ! [X2,X3,X4,X5] :
      ( ~ ron(X4,X2)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X4,X5,X2) ),
    inference(equality_resolution,[],[f1140]) ).

fof(f1140,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ ron(X4,X2)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X4,X1,X2) ),
    inference(equality_resolution,[],[f800]) ).

fof(f800,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ ron(X0,X2)
      | ~ rpoint(X4)
      | X0 != X4
      | ~ rpoint(X5)
      | X1 != X5
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(cnf_transformation,[],[f385]) ).

fof(f385,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ron(X0,X2)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(flattening,[],[f384]) ).

fof(f384,plain,
    ! [X0,X1,X2,X3] :
      ( ~ ron(X0,X2)
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | ~ rline(X3)
      | X2 != X3
      | ~ rS(X0,X1,X2) ),
    inference(ennf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( rpoint(X4)
            & X0 = X4 )
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 )
        & rline(X3)
        & X2 = X3
        & rS(X0,X1,X2) )
     => ~ ron(X0,X2) ),
    inference(rectify,[],[f66]) ).

fof(f66,axiom,
    ! [X94,X95,X96,X97] :
      ( ( ? [X99] :
            ( rpoint(X99)
            & X94 = X99 )
        & ? [X98] :
            ( rpoint(X98)
            & X95 = X98 )
        & rline(X97)
        & X96 = X97
        & rS(X94,X95,X96) )
     => ~ ron(X94,X96) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).

fof(f6948,plain,
    ~ spl59_22,
    inference(avatar_contradiction_clause,[],[f6947]) ).

fof(f6947,plain,
    ( $false
    | ~ spl59_22 ),
    inference(subsumption_resolution,[],[f6621,f1624]) ).

fof(f6621,plain,
    ( ~ ron(sK8,vd1197)
    | ~ spl59_22 ),
    inference(backward_demodulation,[],[f1646,f2834]) ).

fof(f2834,plain,
    ( sK8 = sK10
    | ~ spl59_22 ),
    inference(avatar_component_clause,[],[f2832]) ).

fof(f2832,plain,
    ( spl59_22
  <=> sK8 = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl59_22])]) ).

fof(f1646,plain,
    ~ ron(sK10,vd1197),
    inference(backward_demodulation,[],[f629,f668]) ).

fof(f629,plain,
    ~ ron(vd1187,vd1197),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ~ ron(vd1187,vd1197),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).

fof(f6577,plain,
    ( spl59_24
    | spl59_22
    | spl59_63 ),
    inference(avatar_split_clause,[],[f6573,f6575,f2832,f2843]) ).

fof(f6573,plain,
    ! [X0] :
      ( ron(sK57,X0)
      | ~ rline(X0)
      | sK8 = sK10
      | sK8 = sK57
      | ~ ron(sK8,X0)
      | ~ ron(sK10,X0) ),
    inference(subsumption_resolution,[],[f6572,f924]) ).

fof(f6572,plain,
    ! [X0] :
      ( ron(sK57,X0)
      | ~ rpoint(sK57)
      | ~ rline(X0)
      | sK8 = sK10
      | sK8 = sK57
      | ~ ron(sK8,X0)
      | ~ ron(sK10,X0) ),
    inference(subsumption_resolution,[],[f6571,f669]) ).

fof(f6571,plain,
    ! [X0] :
      ( ron(sK57,X0)
      | ~ rpoint(sK10)
      | ~ rpoint(sK57)
      | ~ rline(X0)
      | sK8 = sK10
      | sK8 = sK57
      | ~ ron(sK8,X0)
      | ~ ron(sK10,X0) ),
    inference(subsumption_resolution,[],[f6570,f673]) ).

fof(f673,plain,
    rpoint(sK8),
    inference(cnf_transformation,[],[f500]) ).

fof(f6570,plain,
    ! [X0] :
      ( ron(sK57,X0)
      | ~ rpoint(sK8)
      | ~ rpoint(sK10)
      | ~ rpoint(sK57)
      | ~ rline(X0)
      | sK8 = sK10
      | sK8 = sK57
      | ~ ron(sK8,X0)
      | ~ ron(sK10,X0) ),
    inference(trivial_inequality_removal,[],[f6565]) ).

fof(f6565,plain,
    ! [X0] :
      ( vd684 != vd684
      | ron(sK57,X0)
      | ~ rpoint(sK8)
      | ~ rpoint(sK10)
      | ~ rpoint(sK57)
      | ~ rline(X0)
      | sK8 = sK10
      | sK8 = sK57
      | ~ ron(sK8,X0)
      | ~ ron(sK10,X0) ),
    inference(superposition,[],[f1734,f1757]) ).

fof(f1757,plain,
    vd684 = vangle(sK10,sK8,sK57),
    inference(backward_demodulation,[],[f1650,f923]) ).

fof(f1650,plain,
    vd684 = vangle(sK10,sK8,vd1201),
    inference(backward_demodulation,[],[f1628,f668]) ).

fof(f1628,plain,
    vd684 = vangle(vd1187,sK8,vd1201),
    inference(backward_demodulation,[],[f1581,f1623]) ).

fof(f1581,plain,
    vd684 = vangle(vd1187,vd1199,vd1201),
    inference(forward_demodulation,[],[f1580,f633]) ).

fof(f1580,plain,
    vangle(vd1187,vd1185,vd1201) = vd684,
    inference(forward_demodulation,[],[f651,f631]) ).

fof(f631,plain,
    v0 = vd684,
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    v0 = vd684,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).

fof(f651,plain,
    vangle(vd1187,vd1185,vd1201) = v0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    vangle(vd1187,vd1185,vd1201) = v0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(310, 1246, 0)') ).

fof(f1734,plain,
    ! [X3,X1,X7,X5] :
      ( vd684 != vangle(X3,X1,X5)
      | ron(X5,X7)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rline(X7)
      | X1 = X3
      | X1 = X5
      | ~ ron(X1,X7)
      | ~ ron(X3,X7) ),
    inference(forward_demodulation,[],[f1486,f631]) ).

fof(f1486,plain,
    ! [X3,X1,X7,X5] :
      ( ron(X5,X7)
      | v0 != vangle(X3,X1,X5)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rline(X7)
      | X1 = X3
      | X1 = X5
      | ~ ron(X1,X7)
      | ~ ron(X3,X7) ),
    inference(equality_resolution,[],[f1485]) ).

fof(f1485,plain,
    ! [X3,X1,X6,X7,X5] :
      ( ron(X5,X6)
      | v0 != vangle(X3,X1,X5)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rline(X7)
      | X6 != X7
      | X1 = X3
      | X1 = X5
      | ~ ron(X1,X6)
      | ~ ron(X3,X6) ),
    inference(equality_resolution,[],[f1484]) ).

fof(f1484,plain,
    ! [X3,X1,X6,X7,X4,X5] :
      ( ron(X4,X6)
      | v0 != vangle(X3,X1,X4)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rline(X7)
      | X6 != X7
      | X1 = X3
      | X1 = X4
      | ~ ron(X1,X6)
      | ~ ron(X3,X6) ),
    inference(equality_resolution,[],[f1483]) ).

fof(f1483,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ron(X4,X6)
      | v0 != vangle(X2,X1,X4)
      | ~ rpoint(X1)
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rline(X7)
      | X6 != X7
      | X1 = X2
      | X1 = X4
      | ~ ron(X1,X6)
      | ~ ron(X2,X6) ),
    inference(equality_resolution,[],[f897]) ).

fof(f897,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ron(X4,X6)
      | v0 != vangle(X2,X0,X4)
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rline(X7)
      | X6 != X7
      | X0 = X2
      | X0 = X4
      | ~ ron(X0,X6)
      | ~ ron(X2,X6) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f613,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ( ron(X4,X6)
            & ~ rR(X0,X2,X4) )
          | v0 != vangle(X2,X0,X4) )
        & ( v0 = vangle(X2,X0,X4)
          | ~ ron(X4,X6)
          | rR(X0,X2,X4) ) )
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rline(X7)
      | X6 != X7
      | X0 = X2
      | X0 = X4
      | ~ ron(X0,X6)
      | ~ ron(X2,X6) ),
    inference(flattening,[],[f612]) ).

fof(f612,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ( ron(X4,X6)
            & ~ rR(X0,X2,X4) )
          | v0 != vangle(X2,X0,X4) )
        & ( v0 = vangle(X2,X0,X4)
          | ~ ron(X4,X6)
          | rR(X0,X2,X4) ) )
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rline(X7)
      | X6 != X7
      | X0 = X2
      | X0 = X4
      | ~ ron(X0,X6)
      | ~ ron(X2,X6) ),
    inference(nnf_transformation,[],[f469]) ).

fof(f469,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ron(X4,X6)
          & ~ rR(X0,X2,X4) )
      <=> v0 = vangle(X2,X0,X4) )
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rline(X7)
      | X6 != X7
      | X0 = X2
      | X0 = X4
      | ~ ron(X0,X6)
      | ~ ron(X2,X6) ),
    inference(flattening,[],[f468]) ).

fof(f468,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( ( ron(X4,X6)
          & ~ rR(X0,X2,X4) )
      <=> v0 = vangle(X2,X0,X4) )
      | ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rline(X7)
      | X6 != X7
      | X0 = X2
      | X0 = X4
      | ~ ron(X0,X6)
      | ~ ron(X2,X6) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( rpoint(X1)
        & X0 = X1
        & rpoint(X3)
        & X2 = X3
        & rpoint(X5)
        & X4 = X5
        & rline(X7)
        & X6 = X7
        & X0 != X2
        & X0 != X4
        & ron(X0,X6)
        & ron(X2,X6) )
     => ( ( ron(X4,X6)
          & ~ rR(X0,X2,X4) )
      <=> v0 = vangle(X2,X0,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO297+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 06:02:11 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (31169)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (31170)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39  % (31173)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39  % (31171)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39  % (31174)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.39  % (31175)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39  % (31176)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40  % (31172)WARNING: value z3 for option sas not known
% 0.21/0.40  % (31172)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.45  Detected minimum model sizes of [3]
% 0.21/0.45  Detected maximum model sizes of [max]
% 0.21/0.45  Cannot represent all propositional literals internally
% 0.21/0.45  % (31170)Refutation not found, incomplete strategy% (31170)------------------------------
% 0.21/0.45  % (31170)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45  % (31170)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45  
% 0.21/0.45  % (31170)Memory used [KB]: 2630
% 0.21/0.45  % (31170)Time elapsed: 0.057 s
% 0.21/0.45  % (31170)Instructions burned: 122 (million)
% 0.21/0.45  % (31170)------------------------------
% 0.21/0.45  % (31170)------------------------------
% 0.21/0.45  Detected minimum model sizes of [3]
% 0.21/0.45  Detected maximum model sizes of [max]
% 0.21/0.45  Cannot represent all propositional literals internally
% 0.21/0.45  % (31173)Refutation not found, incomplete strategy% (31173)------------------------------
% 0.21/0.45  % (31173)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45  % (31173)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45  
% 0.21/0.45  % (31173)Memory used [KB]: 2739
% 0.21/0.45  % (31173)Time elapsed: 0.058 s
% 0.21/0.45  % (31173)Instructions burned: 124 (million)
% 0.21/0.45  % (31173)------------------------------
% 0.21/0.45  % (31173)------------------------------
% 0.21/0.47  % (31180)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.47  % (31181)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.50  Detected minimum model sizes of [3]
% 0.21/0.50  Detected maximum model sizes of [max]
% 0.21/0.50  Cannot represent all propositional literals internally
% 0.21/0.50  % (31180)Refutation not found, incomplete strategy% (31180)------------------------------
% 0.21/0.50  % (31180)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.50  % (31180)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50  
% 0.21/0.50  % (31180)Memory used [KB]: 2377
% 0.21/0.50  % (31180)Time elapsed: 0.031 s
% 0.21/0.50  % (31180)Instructions burned: 67 (million)
% 0.21/0.50  % (31180)------------------------------
% 0.21/0.50  % (31180)------------------------------
% 0.21/0.51  % (31182)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 7.75/1.51  Detected minimum model sizes of [3]
% 7.75/1.51  Detected maximum model sizes of [max]
% 7.75/1.51  Cannot represent all propositional literals internally
% 7.75/1.51  % (31171)Refutation not found, incomplete strategy% (31171)------------------------------
% 7.75/1.51  % (31171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.75/1.51  % (31171)Termination reason: Refutation not found, incomplete strategy
% 7.75/1.51  
% 7.75/1.51  % (31171)Memory used [KB]: 12940
% 7.75/1.51  % (31171)Time elapsed: 1.115 s
% 7.75/1.51  % (31171)Instructions burned: 3700 (million)
% 7.75/1.51  % (31171)------------------------------
% 7.75/1.51  % (31171)------------------------------
% 7.75/1.52  % (31317)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 22.97/3.66  % (31182)First to succeed.
% 22.97/3.66  % (31182)Refutation found. Thanks to Tanya!
% 22.97/3.66  % SZS status Theorem for theBenchmark
% 22.97/3.66  % SZS output start Proof for theBenchmark
% See solution above
% 22.97/3.66  % (31182)------------------------------
% 22.97/3.66  % (31182)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 22.97/3.66  % (31182)Termination reason: Refutation
% 22.97/3.66  
% 22.97/3.66  % (31182)Memory used [KB]: 19551
% 22.97/3.66  % (31182)Time elapsed: 3.152 s
% 22.97/3.66  % (31182)Instructions burned: 12151 (million)
% 22.97/3.66  % (31182)------------------------------
% 22.97/3.66  % (31182)------------------------------
% 22.97/3.66  % (31169)Success in time 3.288 s
%------------------------------------------------------------------------------