TSTP Solution File: GEO289+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO289+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 : Fri May  3 02:17:24 EDT 2024

% Result   : Theorem 50.85s 7.77s
% Output   : CNFRefutation 50.85s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f1275)

% Comments : 
%------------------------------------------------------------------------------
fof(f608,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
   => ( rpoint(sK1)
      & vd1156 = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f609,plain,
    ( ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
   => ( rpoint(sK2)
      & vd1157 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f610,plain,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
   => ( rpoint(sK3)
      & vd1158 = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f611,plain,
    ( ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
   => ( rpoint(sK4)
      & vd1163 = sK4 ) ),
    introduced(choice_axiom,[]) ).

fof(f612,plain,
    ( ? [X4] :
        ( rpoint(X4)
        & vd1164 = X4 )
   => ( rpoint(sK5)
      & vd1164 = sK5 ) ),
    introduced(choice_axiom,[]) ).

fof(f613,plain,
    ( ? [X5] :
        ( rpoint(X5)
        & vd1165 = X5 )
   => ( rpoint(sK6)
      & vd1165 = sK6 ) ),
    introduced(choice_axiom,[]) ).

fof(f615,plain,
    ! [X3,X4,X5] :
      ( ? [X12] :
          ( rline(X12)
          & ron(X3,X12)
          & ron(X4,X12)
          & ron(X5,X12) )
     => ( rline(sK7(X3,X4,X5))
        & ron(X3,sK7(X3,X4,X5))
        & ron(X4,sK7(X3,X4,X5))
        & ron(X5,sK7(X3,X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

cnf(c_49,negated_conjecture,
    vangle(sK1,sK3,sK2) != vangle(sK4,sK6,sK5),
    inference(cnf_transformation,[],[f1275]) ).

cnf(c_67,plain,
    ( vangle(X0,X1,X2) != vangle(X3,X4,X5)
    | vf(X1,X0) != vf(X4,X3)
    | vf(X1,X2) != vf(X4,X5)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X5)
    | vangle(X1,X2,X0) = vangle(X4,X5,X3)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | ron(X3,sK7(X4,X3,X5)) ),
    inference(cnf_transformation,[],[f1311]) ).

cnf(c_1096,plain,
    ( vangle(X0_13,X1_13,X2_13) != vangle(X3_13,X4_13,X5_13)
    | vf(X1_13,X0_13) != vf(X4_13,X3_13)
    | vf(X1_13,X2_13) != vf(X4_13,X5_13)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | ~ rpoint(X3_13)
    | ~ rpoint(X4_13)
    | ~ rpoint(X5_13)
    | vangle(X1_13,X2_13,X0_13) = vangle(X4_13,X5_13,X3_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13
    | ron(X3_13,sK7(X4_13,X3_13,X5_13)) ),
    inference(subtyping,[status(esa)],[c_67]) ).

cnf(c_1114,negated_conjecture,
    vangle(sK1,sK3,sK2) != vangle(sK4,sK6,sK5),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_1116,plain,
    X0_13 = X0_13,
    theory(equality) ).

cnf(c_1119,plain,
    ( X0_13 != X1_13
    | X2_13 != X1_13
    | X2_13 = X0_13 ),
    theory(equality) ).

cnf(c_1140,plain,
    sK1 = sK1,
    inference(instantiation,[status(thm)],[c_1116]) ).

cnf(c_1291,plain,
    ( sK3 != X0_13
    | sK2 != X0_13
    | sK3 = sK2 ),
    inference(instantiation,[status(thm)],[c_1119]) ).

cnf(c_1295,plain,
    ( sK1 != X0_13
    | sK2 != X0_13
    | sK1 = sK2 ),
    inference(instantiation,[status(thm)],[c_1119]) ).

cnf(c_1296,plain,
    ( sK1 != sK1
    | sK2 != sK1
    | sK1 = sK2 ),
    inference(instantiation,[status(thm)],[c_1295]) ).

cnf(c_1735,plain,
    ( vangle(sK2,sK1,sK3) != vangle(sK5,sK4,sK6)
    | vf(sK1,sK3) != vf(sK4,sK6)
    | vf(sK1,sK2) != vf(sK4,sK5)
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rpoint(sK4)
    | ~ rpoint(sK6)
    | ~ rpoint(sK5)
    | vangle(sK1,sK3,sK2) = vangle(sK4,sK6,sK5)
    | sK1 = sK3
    | sK2 = sK1
    | sK2 = sK3
    | ron(sK5,sK7(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1096]) ).

cnf(c_3192,plain,
    ( sK3 != sK3
    | sK2 != sK3
    | sK3 = sK2 ),
    inference(instantiation,[status(thm)],[c_1291]) ).

cnf(c_3193,plain,
    sK3 = sK3,
    inference(instantiation,[status(thm)],[c_1116]) ).

fof(f5,axiom,
    ( ? [X6] :
        ( rpoint(X6)
        & vd1156 = X6 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1157 = X5 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1158 = X4 )
    & vd1156 != vd1157
    & vd1156 != vd1158
    & vd1158 != vd1157
    & ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1164 = X2 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1165 = X1 )
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & ~ ? [X0] :
          ( rline(X0)
          & ron(vd1163,X0)
          & ron(vd1164,X0)
          & ron(vd1165,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))') ).

fof(f857,plain,
    vd1164 = sK5,
    inference(cnf_transformation,[],[f614]) ).

fof(f6,axiom,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( ? [X19] :
            ( rpoint(X19)
            & X7 = X19 )
        & ? [X18] :
            ( rpoint(X18)
            & X8 = X18 )
        & ? [X17] :
            ( rpoint(X17)
            & X9 = X17 )
        & X7 != X8
        & X7 != X9
        & X8 != X9
        & ? [X16] :
            ( rpoint(X16)
            & X10 = X16 )
        & ? [X15] :
            ( rpoint(X15)
            & X11 = X15 )
        & ? [X14] :
            ( rpoint(X14)
            & X12 = X14 )
        & vf(X7,X8) = vf(X10,X11)
        & vf(X7,X9) = vf(X10,X12)
        & vangle(X8,X7,X9) = vangle(X11,X10,X12)
        & ~ ? [X13] :
              ( rline(X13)
              & ron(X10,X13)
              & ron(X11,X13)
              & ron(X12,X13) ) )
     => vangle(X10,X12,X11) = vangle(X7,X9,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 0)') ).

fof(f1311,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vangle(X6,X8,X7) = vangle(X9,X11,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X11)
      | vangle(X7,X6,X8) != vangle(X10,X9,X11)
      | ron(X10,sK7(X9,X10,X11)) ),
    inference(equality_resolution,[],[f1310]) ).

fof(f160,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
    & vd1156 != vd1157
    & vd1156 != vd1158
    & vd1158 != vd1157
    & ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1164 = X4 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1165 = X5 )
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & ~ ? [X6] :
          ( rline(X6)
          & ron(vd1163,X6)
          & ron(vd1164,X6)
          & ron(vd1165,X6) ) ),
    inference(rectify,[],[f5]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ? [X6] :
            ( rpoint(X6)
            & X0 = X6 )
        & ? [X7] :
            ( rpoint(X7)
            & X1 = X7 )
        & ? [X8] :
            ( rpoint(X8)
            & X2 = X8 )
        & X0 != X1
        & X0 != X2
        & X1 != X2
        & ? [X9] :
            ( rpoint(X9)
            & X3 = X9 )
        & ? [X10] :
            ( rpoint(X10)
            & X4 = X10 )
        & ? [X11] :
            ( rpoint(X11)
            & X5 = X11 )
        & vf(X0,X1) = vf(X3,X4)
        & vf(X0,X2) = vf(X3,X5)
        & vangle(X1,X0,X2) = vangle(X4,X3,X5)
        & ~ ? [X12] :
              ( rline(X12)
              & ron(X3,X12)
              & ron(X4,X12)
              & ron(X5,X12) ) )
     => vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
    inference(rectify,[],[f6]) ).

fof(f315,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
    & vd1156 != vd1157
    & vd1156 != vd1158
    & vd1158 != vd1157
    & ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1164 = X4 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1165 = X5 )
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & ! [X6] :
        ( ~ rline(X6)
        | ~ ron(vd1163,X6)
        | ~ ron(vd1164,X6)
        | ~ ron(vd1165,X6) ) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f316,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X0,X2,X1)
      | ! [X6] :
          ( ~ rpoint(X6)
          | X0 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X1 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X2 != X8 )
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ! [X9] :
          ( ~ rpoint(X9)
          | X3 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X4 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X5 != X11 )
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ? [X12] :
          ( rline(X12)
          & ron(X3,X12)
          & ron(X4,X12)
          & ron(X5,X12) ) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f317,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X0,X2,X1)
      | ! [X6] :
          ( ~ rpoint(X6)
          | X0 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X1 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X2 != X8 )
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ! [X9] :
          ( ~ rpoint(X9)
          | X3 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X4 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X5 != X11 )
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ? [X12] :
          ( rline(X12)
          & ron(X3,X12)
          & ron(X4,X12)
          & ron(X5,X12) ) ),
    inference(flattening,[],[f316]) ).

fof(f614,plain,
    ( rpoint(sK1)
    & vd1156 = sK1
    & rpoint(sK2)
    & vd1157 = sK2
    & rpoint(sK3)
    & vd1158 = sK3
    & vd1156 != vd1157
    & vd1156 != vd1158
    & vd1158 != vd1157
    & rpoint(sK4)
    & vd1163 = sK4
    & rpoint(sK5)
    & vd1164 = sK5
    & rpoint(sK6)
    & vd1165 = sK6
    & vf(vd1156,vd1157) = vf(vd1163,vd1164)
    & vf(vd1156,vd1158) = vf(vd1163,vd1165)
    & vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
    & ! [X6] :
        ( ~ rline(X6)
        | ~ ron(vd1163,X6)
        | ~ ron(vd1164,X6)
        | ~ ron(vd1165,X6) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f315,f613,f612,f611,f610,f609,f608]) ).

fof(f616,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X0,X2,X1)
      | ! [X6] :
          ( ~ rpoint(X6)
          | X0 != X6 )
      | ! [X7] :
          ( ~ rpoint(X7)
          | X1 != X7 )
      | ! [X8] :
          ( ~ rpoint(X8)
          | X2 != X8 )
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ! [X9] :
          ( ~ rpoint(X9)
          | X3 != X9 )
      | ! [X10] :
          ( ~ rpoint(X10)
          | X4 != X10 )
      | ! [X11] :
          ( ~ rpoint(X11)
          | X5 != X11 )
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ( rline(sK7(X3,X4,X5))
        & ron(X3,sK7(X3,X4,X5))
        & ron(X4,sK7(X3,X4,X5))
        & ron(X5,sK7(X3,X4,X5)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f317,f615]) ).

fof(f851,plain,
    ! [X6] :
      ( ~ rline(X6)
      | ~ ron(vd1163,X6)
      | ~ ron(vd1164,X6)
      | ~ ron(vd1165,X6) ),
    inference(cnf_transformation,[],[f614]) ).

fof(f852,plain,
    vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
    inference(cnf_transformation,[],[f614]) ).

fof(f853,plain,
    vf(vd1156,vd1158) = vf(vd1163,vd1165),
    inference(cnf_transformation,[],[f614]) ).

fof(f854,plain,
    vf(vd1156,vd1157) = vf(vd1163,vd1164),
    inference(cnf_transformation,[],[f614]) ).

fof(f855,plain,
    vd1165 = sK6,
    inference(cnf_transformation,[],[f614]) ).

fof(f856,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f614]) ).

fof(f858,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f614]) ).

fof(f859,plain,
    vd1163 = sK4,
    inference(cnf_transformation,[],[f614]) ).

fof(f860,plain,
    rpoint(sK4),
    inference(cnf_transformation,[],[f614]) ).

fof(f861,plain,
    vd1158 != vd1157,
    inference(cnf_transformation,[],[f614]) ).

fof(f862,plain,
    vd1156 != vd1158,
    inference(cnf_transformation,[],[f614]) ).

fof(f863,plain,
    vd1156 != vd1157,
    inference(cnf_transformation,[],[f614]) ).

fof(f864,plain,
    vd1158 = sK3,
    inference(cnf_transformation,[],[f614]) ).

fof(f865,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f614]) ).

fof(f866,plain,
    vd1157 = sK2,
    inference(cnf_transformation,[],[f614]) ).

fof(f867,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f614]) ).

fof(f868,plain,
    vd1156 = sK1,
    inference(cnf_transformation,[],[f614]) ).

fof(f869,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f614]) ).

fof(f870,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X0,X2,X1)
      | ~ rpoint(X6)
      | X0 != X6
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ron(X5,sK7(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f616]) ).

fof(f871,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X0,X2,X1)
      | ~ rpoint(X6)
      | X0 != X6
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ron(X4,sK7(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f616]) ).

fof(f872,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X0,X2,X1)
      | ~ rpoint(X6)
      | X0 != X6
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | ron(X3,sK7(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f616]) ).

fof(f873,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X0,X2,X1)
      | ~ rpoint(X6)
      | X0 != X6
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X0,X1) != vf(X3,X4)
      | vf(X0,X2) != vf(X3,X5)
      | vangle(X1,X0,X2) != vangle(X4,X3,X5)
      | rline(sK7(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f616]) ).

fof(f1278,plain,
    sK1 != sK2,
    inference(definition_unfolding,[],[f863,f868,f866]) ).

fof(f1279,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f862,f868,f864]) ).

fof(f1280,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f861,f864,f866]) ).

fof(f1281,plain,
    vf(sK1,sK2) = vf(sK4,sK5),
    inference(definition_unfolding,[],[f854,f868,f866,f859,f857]) ).

fof(f1282,plain,
    vf(sK1,sK3) = vf(sK4,sK6),
    inference(definition_unfolding,[],[f853,f868,f864,f859,f855]) ).

fof(f1283,plain,
    vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
    inference(definition_unfolding,[],[f852,f866,f868,f864,f857,f859,f855]) ).

fof(f1284,plain,
    ! [X6] :
      ( ~ rline(X6)
      | ~ ron(sK4,X6)
      | ~ ron(sK5,X6)
      | ~ ron(sK6,X6) ),
    inference(definition_unfolding,[],[f851,f859,f857,f855]) ).

fof(f1294,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X1)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X1 = X6
      | X2 = X6
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X1)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X1,X6,X2)
      | rline(sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f873]) ).

fof(f1295,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X2 != X8
      | X6 = X7
      | X2 = X6
      | X2 = X7
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X7)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X7,X6,X2)
      | rline(sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1294]) ).

fof(f1296,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X8,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X7)
      | vf(X3,X5) != vf(X6,X8)
      | vangle(X4,X3,X5) != vangle(X7,X6,X8)
      | rline(sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1295]) ).

fof(f1297,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X4)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X4)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X4,X9,X5)
      | rline(sK7(X9,X4,X5)) ),
    inference(equality_resolution,[],[f1296]) ).

fof(f1298,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X10,X9,X5)
      | rline(sK7(X9,X10,X5)) ),
    inference(equality_resolution,[],[f1297]) ).

fof(f1299,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vangle(X6,X8,X7) = vangle(X9,X11,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X11)
      | vangle(X7,X6,X8) != vangle(X10,X9,X11)
      | rline(sK7(X9,X10,X11)) ),
    inference(equality_resolution,[],[f1298]) ).

fof(f1300,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X1)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X1 = X6
      | X2 = X6
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X1)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X1,X6,X2)
      | ron(X3,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f872]) ).

fof(f1301,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X2 != X8
      | X6 = X7
      | X2 = X6
      | X2 = X7
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X7)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X7,X6,X2)
      | ron(X3,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1300]) ).

fof(f1302,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X8,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X7)
      | vf(X3,X5) != vf(X6,X8)
      | vangle(X4,X3,X5) != vangle(X7,X6,X8)
      | ron(X3,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1301]) ).

fof(f1303,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X4)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X4)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X4,X9,X5)
      | ron(X9,sK7(X9,X4,X5)) ),
    inference(equality_resolution,[],[f1302]) ).

fof(f1304,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X10,X9,X5)
      | ron(X9,sK7(X9,X10,X5)) ),
    inference(equality_resolution,[],[f1303]) ).

fof(f1305,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vangle(X6,X8,X7) = vangle(X9,X11,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X11)
      | vangle(X7,X6,X8) != vangle(X10,X9,X11)
      | ron(X9,sK7(X9,X10,X11)) ),
    inference(equality_resolution,[],[f1304]) ).

fof(f1306,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X1)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X1 = X6
      | X2 = X6
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X1)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X1,X6,X2)
      | ron(X4,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f871]) ).

fof(f1307,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X2 != X8
      | X6 = X7
      | X2 = X6
      | X2 = X7
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X7)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X7,X6,X2)
      | ron(X4,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1306]) ).

fof(f1308,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X8,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X7)
      | vf(X3,X5) != vf(X6,X8)
      | vangle(X4,X3,X5) != vangle(X7,X6,X8)
      | ron(X4,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1307]) ).

fof(f1309,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X4)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X4)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X4,X9,X5)
      | ron(X4,sK7(X9,X4,X5)) ),
    inference(equality_resolution,[],[f1308]) ).

fof(f1310,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X10,X9,X5)
      | ron(X10,sK7(X9,X10,X5)) ),
    inference(equality_resolution,[],[f1309]) ).

fof(f1312,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X1)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | X1 != X7
      | ~ rpoint(X8)
      | X2 != X8
      | X1 = X6
      | X2 = X6
      | X1 = X2
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X1)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X1,X6,X2)
      | ron(X5,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f870]) ).

fof(f1313,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X2,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X2 != X8
      | X6 = X7
      | X2 = X6
      | X2 = X7
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X7)
      | vf(X3,X5) != vf(X6,X2)
      | vangle(X4,X3,X5) != vangle(X7,X6,X2)
      | ron(X5,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1312]) ).

fof(f1314,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X3,X5,X4) = vangle(X6,X8,X7)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | X3 != X9
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X3,X4) != vf(X6,X7)
      | vf(X3,X5) != vf(X6,X8)
      | vangle(X4,X3,X5) != vangle(X7,X6,X8)
      | ron(X5,sK7(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1313]) ).

fof(f1315,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X4)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | X4 != X10
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X4)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X4,X9,X5)
      | ron(X5,sK7(X9,X4,X5)) ),
    inference(equality_resolution,[],[f1314]) ).

fof(f1316,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vangle(X6,X8,X7) = vangle(X9,X5,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | X5 != X11
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X5)
      | vangle(X7,X6,X8) != vangle(X10,X9,X5)
      | ron(X5,sK7(X9,X10,X5)) ),
    inference(equality_resolution,[],[f1315]) ).

fof(f1317,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vangle(X6,X8,X7) = vangle(X9,X11,X10)
      | ~ rpoint(X6)
      | ~ rpoint(X7)
      | ~ rpoint(X8)
      | X6 = X7
      | X6 = X8
      | X7 = X8
      | ~ rpoint(X9)
      | ~ rpoint(X10)
      | ~ rpoint(X11)
      | vf(X6,X7) != vf(X9,X10)
      | vf(X6,X8) != vf(X9,X11)
      | vangle(X7,X6,X8) != vangle(X10,X9,X11)
      | ron(X11,sK7(X9,X10,X11)) ),
    inference(equality_resolution,[],[f1316]) ).

cnf(c_52,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f869]) ).

cnf(c_53,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f867]) ).

cnf(c_54,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f865]) ).

cnf(c_55,plain,
    sK1 != sK2,
    inference(cnf_transformation,[],[f1278]) ).

cnf(c_56,plain,
    sK1 != sK3,
    inference(cnf_transformation,[],[f1279]) ).

cnf(c_57,plain,
    sK3 != sK2,
    inference(cnf_transformation,[],[f1280]) ).

cnf(c_58,plain,
    rpoint(sK4),
    inference(cnf_transformation,[],[f860]) ).

cnf(c_59,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f858]) ).

cnf(c_60,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f856]) ).

cnf(c_61,plain,
    vf(sK1,sK2) = vf(sK4,sK5),
    inference(cnf_transformation,[],[f1281]) ).

cnf(c_62,plain,
    vf(sK1,sK3) = vf(sK4,sK6),
    inference(cnf_transformation,[],[f1282]) ).

cnf(c_63,plain,
    vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
    inference(cnf_transformation,[],[f1283]) ).

cnf(c_64,plain,
    ( ~ ron(sK4,X0)
    | ~ ron(sK6,X0)
    | ~ ron(sK5,X0)
    | ~ rline(X0) ),
    inference(cnf_transformation,[],[f1284]) ).

cnf(c_65,plain,
    ( vangle(X0,X1,X2) != vangle(X3,X4,X5)
    | vf(X1,X0) != vf(X4,X3)
    | vf(X1,X2) != vf(X4,X5)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X5)
    | vangle(X1,X2,X0) = vangle(X4,X5,X3)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | rline(sK7(X4,X3,X5)) ),
    inference(cnf_transformation,[],[f1299]) ).

cnf(c_66,plain,
    ( vangle(X0,X1,X2) != vangle(X3,X4,X5)
    | vf(X1,X0) != vf(X4,X3)
    | vf(X1,X2) != vf(X4,X5)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X5)
    | vangle(X1,X2,X0) = vangle(X4,X5,X3)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | ron(X4,sK7(X4,X3,X5)) ),
    inference(cnf_transformation,[],[f1305]) ).

cnf(c_68,plain,
    ( vangle(X0,X1,X2) != vangle(X3,X4,X5)
    | vf(X1,X0) != vf(X4,X3)
    | vf(X1,X2) != vf(X4,X5)
    | ~ rpoint(X0)
    | ~ rpoint(X1)
    | ~ rpoint(X2)
    | ~ rpoint(X3)
    | ~ rpoint(X4)
    | ~ rpoint(X5)
    | vangle(X1,X2,X0) = vangle(X4,X5,X3)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | ron(X5,sK7(X4,X3,X5)) ),
    inference(cnf_transformation,[],[f1317]) ).

cnf(c_1095,plain,
    ( vangle(X0_13,X1_13,X2_13) != vangle(X3_13,X4_13,X5_13)
    | vf(X1_13,X0_13) != vf(X4_13,X3_13)
    | vf(X1_13,X2_13) != vf(X4_13,X5_13)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | ~ rpoint(X3_13)
    | ~ rpoint(X4_13)
    | ~ rpoint(X5_13)
    | vangle(X1_13,X2_13,X0_13) = vangle(X4_13,X5_13,X3_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13
    | ron(X5_13,sK7(X4_13,X3_13,X5_13)) ),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_1097,plain,
    ( vangle(X0_13,X1_13,X2_13) != vangle(X3_13,X4_13,X5_13)
    | vf(X1_13,X0_13) != vf(X4_13,X3_13)
    | vf(X1_13,X2_13) != vf(X4_13,X5_13)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | ~ rpoint(X3_13)
    | ~ rpoint(X4_13)
    | ~ rpoint(X5_13)
    | vangle(X1_13,X2_13,X0_13) = vangle(X4_13,X5_13,X3_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13
    | ron(X4_13,sK7(X4_13,X3_13,X5_13)) ),
    inference(subtyping,[status(esa)],[c_66]) ).

cnf(c_1098,plain,
    ( vangle(X0_13,X1_13,X2_13) != vangle(X3_13,X4_13,X5_13)
    | vf(X1_13,X0_13) != vf(X4_13,X3_13)
    | vf(X1_13,X2_13) != vf(X4_13,X5_13)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(X2_13)
    | ~ rpoint(X3_13)
    | ~ rpoint(X4_13)
    | ~ rpoint(X5_13)
    | vangle(X1_13,X2_13,X0_13) = vangle(X4_13,X5_13,X3_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13
    | rline(sK7(X4_13,X3_13,X5_13)) ),
    inference(subtyping,[status(esa)],[c_65]) ).

cnf(c_1099,plain,
    ( ~ ron(sK4,X0_15)
    | ~ ron(sK6,X0_15)
    | ~ ron(sK5,X0_15)
    | ~ rline(X0_15) ),
    inference(subtyping,[status(esa)],[c_64]) ).

cnf(c_1100,plain,
    vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
    inference(subtyping,[status(esa)],[c_63]) ).

cnf(c_1101,plain,
    vf(sK1,sK3) = vf(sK4,sK6),
    inference(subtyping,[status(esa)],[c_62]) ).

cnf(c_1102,plain,
    vf(sK1,sK2) = vf(sK4,sK5),
    inference(subtyping,[status(esa)],[c_61]) ).

cnf(c_1106,plain,
    sK3 != sK2,
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_1107,plain,
    sK1 != sK3,
    inference(subtyping,[status(esa)],[c_56]) ).

cnf(c_1108,plain,
    sK1 != sK2,
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_1534,plain,
    ( vangle(sK2,sK1,sK3) != vangle(sK5,sK4,sK6)
    | vf(sK1,sK3) != vf(sK4,sK6)
    | vf(sK1,sK2) != vf(sK4,sK5)
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rpoint(sK4)
    | ~ rpoint(sK6)
    | ~ rpoint(sK5)
    | vangle(sK1,sK3,sK2) = vangle(sK4,sK6,sK5)
    | sK1 = sK3
    | sK2 = sK1
    | sK2 = sK3
    | rline(sK7(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1098]) ).

cnf(c_1734,plain,
    ( vangle(sK2,sK1,sK3) != vangle(sK5,sK4,sK6)
    | vf(sK1,sK3) != vf(sK4,sK6)
    | vf(sK1,sK2) != vf(sK4,sK5)
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rpoint(sK4)
    | ~ rpoint(sK6)
    | ~ rpoint(sK5)
    | vangle(sK1,sK3,sK2) = vangle(sK4,sK6,sK5)
    | sK1 = sK3
    | sK2 = sK1
    | sK2 = sK3
    | ron(sK6,sK7(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1095]) ).

cnf(c_1736,plain,
    ( vangle(sK2,sK1,sK3) != vangle(sK5,sK4,sK6)
    | vf(sK1,sK3) != vf(sK4,sK6)
    | vf(sK1,sK2) != vf(sK4,sK5)
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rpoint(sK4)
    | ~ rpoint(sK6)
    | ~ rpoint(sK5)
    | vangle(sK1,sK3,sK2) = vangle(sK4,sK6,sK5)
    | sK1 = sK3
    | sK2 = sK1
    | sK2 = sK3
    | ron(sK4,sK7(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1097]) ).

cnf(c_6241,plain,
    ( ~ ron(sK4,sK7(sK4,sK5,sK6))
    | ~ ron(sK6,sK7(sK4,sK5,sK6))
    | ~ ron(sK5,sK7(sK4,sK5,sK6))
    | ~ rline(sK7(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1099]) ).

cnf(c_6242,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6241,c_3193,c_3192,c_1736,c_1735,c_1734,c_1534,c_1296,c_1114,c_1108,c_1107,c_1106,c_1102,c_1101,c_1100,c_1140,c_52,c_53,c_54,c_58,c_59,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO289+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n002.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 01:37:57 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.22/0.48  Running first-order theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 50.85/7.77  % SZS status Started for theBenchmark.p
% 50.85/7.77  % SZS status Theorem for theBenchmark.p
% 50.85/7.77  
% 50.85/7.77  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 50.85/7.77  
% 50.85/7.77  ------  iProver source info
% 50.85/7.77  
% 50.85/7.77  git: date: 2024-05-02 19:28:25 +0000
% 50.85/7.77  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 50.85/7.77  git: non_committed_changes: false
% 50.85/7.77  
% 50.85/7.77  ------ Parsing...
% 50.85/7.77  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 50.85/7.77  
% 50.85/7.77  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 50.85/7.77  
% 50.85/7.77  ------ Preprocessing...
% 50.85/7.77  
% 50.85/7.77  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 50.85/7.77  ------ Proving...
% 50.85/7.77  ------ Problem Properties 
% 50.85/7.77  
% 50.85/7.77  
% 50.85/7.77  clauses                                 408
% 50.85/7.77  conjectures                             1
% 50.85/7.77  EPR                                     53
% 50.85/7.77  Horn                                    169
% 50.85/7.77  unary                                   17
% 50.85/7.77  binary                                  32
% 50.85/7.77  lits                                    5342
% 50.85/7.77  lits eq                                 2062
% 50.85/7.77  fd_pure                                 0
% 50.85/7.77  fd_pseudo                               0
% 50.85/7.77  fd_cond                                 0
% 50.85/7.77  fd_pseudo_cond                          214
% 50.85/7.77  AC symbols                              0
% 50.85/7.77  
% 50.85/7.77  ------ Input Options Time Limit: Unbounded
% 50.85/7.77  
% 50.85/7.77  
% 50.85/7.77  ------ 
% 50.85/7.77  Current options:
% 50.85/7.77  ------ 
% 50.85/7.77  
% 50.85/7.77  
% 50.85/7.77  
% 50.85/7.77  
% 50.85/7.77  ------ Proving...
% 50.85/7.77  
% 50.85/7.77  
% 50.85/7.77  % SZS status Theorem for theBenchmark.p
% 50.85/7.77  
% 50.85/7.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.85/7.77  
% 50.85/7.77  
%------------------------------------------------------------------------------