TSTP Solution File: GEO287+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO287+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 30 23:10:52 EDT 2023

% Result   : Theorem 60.78s 9.19s
% Output   : CNFRefutation 61.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f1)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    vf(vd1157,vd1158) != vf(vd1164,vd1165),
    inference(negated_conjecture,[],[f1]) ).

fof(f157,plain,
    vf(vd1157,vd1158) != vf(vd1164,vd1165),
    inference(flattening,[],[f2]) ).

fof(f606,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
   => ( rpoint(sK1)
      & vd1156 = sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f607,plain,
    ( ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
   => ( rpoint(sK2)
      & vd1157 = sK2 ) ),
    introduced(choice_axiom,[]) ).

fof(f608,plain,
    ( ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
   => ( rpoint(sK3)
      & vd1158 = sK3 ) ),
    introduced(choice_axiom,[]) ).

fof(f609,plain,
    ( ? [X3] :
        ( rpoint(X3)
        & vd1163 = X3 )
   => ( rpoint(sK4)
      & vd1163 = sK4 ) ),
    introduced(choice_axiom,[]) ).

fof(f610,plain,
    ( ? [X4] :
        ( rpoint(X4)
        & vd1164 = X4 )
   => ( rpoint(sK5)
      & vd1164 = sK5 ) ),
    introduced(choice_axiom,[]) ).

fof(f611,plain,
    ( ? [X5] :
        ( rpoint(X5)
        & vd1165 = X5 )
   => ( rpoint(sK6)
      & vd1165 = sK6 ) ),
    introduced(choice_axiom,[]) ).

fof(f617,plain,
    ! [X3,X4,X5] :
      ( ? [X12] :
          ( rline(X12)
          & ron(X3,X12)
          & ron(X4,X12)
          & ron(X5,X12) )
     => ( rline(sK9(X3,X4,X5))
        & ron(X3,sK9(X3,X4,X5))
        & ron(X4,sK9(X3,X4,X5))
        & ron(X5,sK9(X3,X4,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f846,plain,
    vf(vd1157,vd1158) != vf(vd1164,vd1165),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_73,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)
    | vf(X0,X2) = vf(X3,X5)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | ron(X3,sK9(X4,X3,X5)) ),
    inference(cnf_transformation,[],[f1353]) ).

cnf(c_1086,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)
    | vf(X0_13,X2_13) = vf(X3_13,X5_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13
    | ron(X3_13,sK9(X4_13,X3_13,X5_13)) ),
    inference(subtyping,[status(esa)],[c_73]) ).

cnf(c_1112,plain,
    X0_13 = X0_13,
    theory(equality) ).

cnf(c_1115,plain,
    ( X0_13 != X1_13
    | X2_13 != X1_13
    | X2_13 = X0_13 ),
    theory(equality) ).

cnf(c_1288,plain,
    ( sK3 != X0_13
    | sK1 != X0_13
    | sK3 = sK1 ),
    inference(instantiation,[status(thm)],[c_1115]) ).

cnf(c_1493,plain,
    ( vangle(sK2,X0_13,sK3) != vangle(sK5,X1_13,sK6)
    | vf(X0_13,sK2) != vf(X1_13,sK5)
    | vf(X0_13,sK3) != vf(X1_13,sK6)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | vf(sK2,sK3) = vf(sK5,sK6)
    | X0_13 = sK3
    | sK2 = X0_13
    | sK2 = sK3
    | ron(sK5,sK9(X1_13,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1086]) ).

cnf(c_2338,plain,
    ( vangle(sK2,sK1,sK3) != vangle(sK5,sK4,sK6)
    | vf(sK1,sK2) != vf(sK4,sK5)
    | vf(sK1,sK3) != vf(sK4,sK6)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ rpoint(sK1)
    | ~ rpoint(sK4)
    | vf(sK2,sK3) = vf(sK5,sK6)
    | sK2 = sK3
    | sK2 = sK1
    | sK1 = sK3
    | ron(sK5,sK9(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1493]) ).

cnf(c_3170,plain,
    ( sK3 != sK3
    | sK1 != sK3
    | sK3 = sK1 ),
    inference(instantiation,[status(thm)],[c_1288]) ).

cnf(c_3171,plain,
    sK3 = sK3,
    inference(instantiation,[status(thm)],[c_1112]) ).

fof(f3,axiom,
    ( ? [X6] :
        ( rpoint(X6)
        & vd1156 = X6 )
    & ? [X5] :
        ( rpoint(X5)
        & vd1157 = X5 )
    & ? [X4] :
        ( rpoint(X4)
        & vd1158 = X4 )
    & vd1157 != vd1156
    & vd1158 != vd1156
    & vd1157 != vd1158
    & ? [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(f853,plain,
    vd1164 = sK5,
    inference(cnf_transformation,[],[f612]) ).

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) ) )
     => vf(X11,X12) = vf(X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 2)') ).

fof(f1353,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vf(X7,X8) = vf(X10,X11)
      | ~ 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,sK9(X9,X10,X11)) ),
    inference(equality_resolution,[],[f1352]) ).

fof(f158,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
    & vd1157 != vd1156
    & vd1158 != vd1156
    & vd1157 != vd1158
    & ? [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,[],[f3]) ).

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) ) )
     => vf(X4,X5) = vf(X1,X2) ),
    inference(rectify,[],[f6]) ).

fof(f313,plain,
    ( ? [X0] :
        ( rpoint(X0)
        & vd1156 = X0 )
    & ? [X1] :
        ( rpoint(X1)
        & vd1157 = X1 )
    & ? [X2] :
        ( rpoint(X2)
        & vd1158 = X2 )
    & vd1157 != vd1156
    & vd1158 != vd1156
    & vd1157 != vd1158
    & ? [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,[],[f158]) ).

fof(f318,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ! [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(f319,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ! [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,[],[f318]) ).

fof(f612,plain,
    ( rpoint(sK1)
    & vd1156 = sK1
    & rpoint(sK2)
    & vd1157 = sK2
    & rpoint(sK3)
    & vd1158 = sK3
    & vd1157 != vd1156
    & vd1158 != vd1156
    & vd1157 != vd1158
    & 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])],[f313,f611,f610,f609,f608,f607,f606]) ).

fof(f618,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ! [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(sK9(X3,X4,X5))
        & ron(X3,sK9(X3,X4,X5))
        & ron(X4,sK9(X3,X4,X5))
        & ron(X5,sK9(X3,X4,X5)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f319,f617]) ).

fof(f847,plain,
    ! [X6] :
      ( ~ rline(X6)
      | ~ ron(vd1163,X6)
      | ~ ron(vd1164,X6)
      | ~ ron(vd1165,X6) ),
    inference(cnf_transformation,[],[f612]) ).

fof(f848,plain,
    vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
    inference(cnf_transformation,[],[f612]) ).

fof(f849,plain,
    vf(vd1156,vd1158) = vf(vd1163,vd1165),
    inference(cnf_transformation,[],[f612]) ).

fof(f850,plain,
    vf(vd1156,vd1157) = vf(vd1163,vd1164),
    inference(cnf_transformation,[],[f612]) ).

fof(f851,plain,
    vd1165 = sK6,
    inference(cnf_transformation,[],[f612]) ).

fof(f852,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f612]) ).

fof(f854,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f612]) ).

fof(f855,plain,
    vd1163 = sK4,
    inference(cnf_transformation,[],[f612]) ).

fof(f856,plain,
    rpoint(sK4),
    inference(cnf_transformation,[],[f612]) ).

fof(f857,plain,
    vd1157 != vd1158,
    inference(cnf_transformation,[],[f612]) ).

fof(f858,plain,
    vd1158 != vd1156,
    inference(cnf_transformation,[],[f612]) ).

fof(f859,plain,
    vd1157 != vd1156,
    inference(cnf_transformation,[],[f612]) ).

fof(f860,plain,
    vd1158 = sK3,
    inference(cnf_transformation,[],[f612]) ).

fof(f861,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f612]) ).

fof(f862,plain,
    vd1157 = sK2,
    inference(cnf_transformation,[],[f612]) ).

fof(f863,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f612]) ).

fof(f864,plain,
    vd1156 = sK1,
    inference(cnf_transformation,[],[f612]) ).

fof(f865,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f612]) ).

fof(f874,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f618]) ).

fof(f875,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f618]) ).

fof(f876,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f618]) ).

fof(f877,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ~ 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(sK9(X3,X4,X5)) ),
    inference(cnf_transformation,[],[f618]) ).

fof(f1271,plain,
    vf(sK2,sK3) != vf(sK5,sK6),
    inference(definition_unfolding,[],[f846,f862,f860,f853,f851]) ).

fof(f1272,plain,
    sK1 != sK2,
    inference(definition_unfolding,[],[f859,f862,f864]) ).

fof(f1273,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f858,f860,f864]) ).

fof(f1274,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f857,f862,f860]) ).

fof(f1275,plain,
    vf(sK1,sK2) = vf(sK4,sK5),
    inference(definition_unfolding,[],[f850,f864,f862,f855,f853]) ).

fof(f1276,plain,
    vf(sK1,sK3) = vf(sK4,sK6),
    inference(definition_unfolding,[],[f849,f864,f860,f855,f851]) ).

fof(f1277,plain,
    vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
    inference(definition_unfolding,[],[f848,f862,f864,f860,f853,f855,f851]) ).

fof(f1278,plain,
    ! [X6] :
      ( ~ rline(X6)
      | ~ ron(sK4,X6)
      | ~ ron(sK5,X6)
      | ~ ron(sK6,X6) ),
    inference(definition_unfolding,[],[f847,f855,f853,f851]) ).

fof(f1336,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ~ 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(sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f877]) ).

fof(f1337,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X7,X2)
      | ~ 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(sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1336]) ).

fof(f1338,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X7,X8) = vf(X4,X5)
      | ~ 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(sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1337]) ).

fof(f1339,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X7,X8) = vf(X4,X5)
      | ~ 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(sK9(X9,X4,X5)) ),
    inference(equality_resolution,[],[f1338]) ).

fof(f1340,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vf(X7,X8) = vf(X10,X5)
      | ~ 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(sK9(X9,X10,X5)) ),
    inference(equality_resolution,[],[f1339]) ).

fof(f1341,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vf(X7,X8) = vf(X10,X11)
      | ~ 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(sK9(X9,X10,X11)) ),
    inference(equality_resolution,[],[f1340]) ).

fof(f1342,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f876]) ).

fof(f1343,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X7,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1342]) ).

fof(f1344,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X7,X8) = vf(X4,X5)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1343]) ).

fof(f1345,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X7,X8) = vf(X4,X5)
      | ~ 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,sK9(X9,X4,X5)) ),
    inference(equality_resolution,[],[f1344]) ).

fof(f1346,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vf(X7,X8) = vf(X10,X5)
      | ~ 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,sK9(X9,X10,X5)) ),
    inference(equality_resolution,[],[f1345]) ).

fof(f1347,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vf(X7,X8) = vf(X10,X11)
      | ~ 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,sK9(X9,X10,X11)) ),
    inference(equality_resolution,[],[f1346]) ).

fof(f1348,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f875]) ).

fof(f1349,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X7,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1348]) ).

fof(f1350,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X7,X8) = vf(X4,X5)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1349]) ).

fof(f1351,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X7,X8) = vf(X4,X5)
      | ~ 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,sK9(X9,X4,X5)) ),
    inference(equality_resolution,[],[f1350]) ).

fof(f1352,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vf(X7,X8) = vf(X10,X5)
      | ~ 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,sK9(X9,X10,X5)) ),
    inference(equality_resolution,[],[f1351]) ).

fof(f1354,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X1,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f874]) ).

fof(f1355,plain,
    ! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X4,X5) = vf(X7,X2)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1354]) ).

fof(f1356,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X7,X8) = vf(X4,X5)
      | ~ 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,sK9(X3,X4,X5)) ),
    inference(equality_resolution,[],[f1355]) ).

fof(f1357,plain,
    ! [X10,X11,X8,X6,X9,X7,X4,X5] :
      ( vf(X7,X8) = vf(X4,X5)
      | ~ 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,sK9(X9,X4,X5)) ),
    inference(equality_resolution,[],[f1356]) ).

fof(f1358,plain,
    ! [X10,X11,X8,X6,X9,X7,X5] :
      ( vf(X7,X8) = vf(X10,X5)
      | ~ 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,sK9(X9,X10,X5)) ),
    inference(equality_resolution,[],[f1357]) ).

fof(f1359,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( vf(X7,X8) = vf(X10,X11)
      | ~ 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,sK9(X9,X10,X11)) ),
    inference(equality_resolution,[],[f1358]) ).

cnf(c_49,negated_conjecture,
    vf(sK2,sK3) != vf(sK5,sK6),
    inference(cnf_transformation,[],[f1271]) ).

cnf(c_50,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f865]) ).

cnf(c_51,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f863]) ).

cnf(c_52,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f861]) ).

cnf(c_53,plain,
    sK2 != sK1,
    inference(cnf_transformation,[],[f1272]) ).

cnf(c_54,plain,
    sK3 != sK1,
    inference(cnf_transformation,[],[f1273]) ).

cnf(c_55,plain,
    sK2 != sK3,
    inference(cnf_transformation,[],[f1274]) ).

cnf(c_56,plain,
    rpoint(sK4),
    inference(cnf_transformation,[],[f856]) ).

cnf(c_57,plain,
    rpoint(sK5),
    inference(cnf_transformation,[],[f854]) ).

cnf(c_58,plain,
    rpoint(sK6),
    inference(cnf_transformation,[],[f852]) ).

cnf(c_59,plain,
    vf(sK1,sK2) = vf(sK4,sK5),
    inference(cnf_transformation,[],[f1275]) ).

cnf(c_60,plain,
    vf(sK1,sK3) = vf(sK4,sK6),
    inference(cnf_transformation,[],[f1276]) ).

cnf(c_61,plain,
    vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
    inference(cnf_transformation,[],[f1277]) ).

cnf(c_62,plain,
    ( ~ ron(sK5,X0)
    | ~ ron(sK6,X0)
    | ~ ron(sK4,X0)
    | ~ rline(X0) ),
    inference(cnf_transformation,[],[f1278]) ).

cnf(c_71,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)
    | vf(X0,X2) = vf(X3,X5)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | rline(sK9(X4,X3,X5)) ),
    inference(cnf_transformation,[],[f1341]) ).

cnf(c_72,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)
    | vf(X0,X2) = vf(X3,X5)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | ron(X4,sK9(X4,X3,X5)) ),
    inference(cnf_transformation,[],[f1347]) ).

cnf(c_74,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)
    | vf(X0,X2) = vf(X3,X5)
    | X0 = X1
    | X0 = X2
    | X1 = X2
    | ron(X5,sK9(X4,X3,X5)) ),
    inference(cnf_transformation,[],[f1359]) ).

cnf(c_1085,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)
    | vf(X0_13,X2_13) = vf(X3_13,X5_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13
    | ron(X5_13,sK9(X4_13,X3_13,X5_13)) ),
    inference(subtyping,[status(esa)],[c_74]) ).

cnf(c_1087,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)
    | vf(X0_13,X2_13) = vf(X3_13,X5_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13
    | ron(X4_13,sK9(X4_13,X3_13,X5_13)) ),
    inference(subtyping,[status(esa)],[c_72]) ).

cnf(c_1088,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)
    | vf(X0_13,X2_13) = vf(X3_13,X5_13)
    | X0_13 = X1_13
    | X0_13 = X2_13
    | X1_13 = X2_13
    | rline(sK9(X4_13,X3_13,X5_13)) ),
    inference(subtyping,[status(esa)],[c_71]) ).

cnf(c_1097,plain,
    ( ~ ron(sK5,X0_15)
    | ~ ron(sK6,X0_15)
    | ~ ron(sK4,X0_15)
    | ~ rline(X0_15) ),
    inference(subtyping,[status(esa)],[c_62]) ).

cnf(c_1098,plain,
    vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
    inference(subtyping,[status(esa)],[c_61]) ).

cnf(c_1099,plain,
    vf(sK1,sK3) = vf(sK4,sK6),
    inference(subtyping,[status(esa)],[c_60]) ).

cnf(c_1100,plain,
    vf(sK1,sK2) = vf(sK4,sK5),
    inference(subtyping,[status(esa)],[c_59]) ).

cnf(c_1104,plain,
    sK2 != sK3,
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_1105,plain,
    sK3 != sK1,
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_1106,plain,
    sK2 != sK1,
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_1110,negated_conjecture,
    vf(sK2,sK3) != vf(sK5,sK6),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_1489,plain,
    ( vangle(sK2,X0_13,sK3) != vangle(sK5,X1_13,sK6)
    | vf(X0_13,sK2) != vf(X1_13,sK5)
    | vf(X0_13,sK3) != vf(X1_13,sK6)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | vf(sK2,sK3) = vf(sK5,sK6)
    | X0_13 = sK3
    | sK2 = X0_13
    | sK2 = sK3
    | rline(sK9(X1_13,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1088]) ).

cnf(c_1491,plain,
    ( vangle(sK2,X0_13,sK3) != vangle(sK5,X1_13,sK6)
    | vf(X0_13,sK2) != vf(X1_13,sK5)
    | vf(X0_13,sK3) != vf(X1_13,sK6)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | vf(sK2,sK3) = vf(sK5,sK6)
    | X0_13 = sK3
    | sK2 = X0_13
    | sK2 = sK3
    | ron(sK6,sK9(X1_13,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1085]) ).

cnf(c_1495,plain,
    ( vangle(sK2,X0_13,sK3) != vangle(sK5,X1_13,sK6)
    | vf(X0_13,sK2) != vf(X1_13,sK5)
    | vf(X0_13,sK3) != vf(X1_13,sK6)
    | ~ rpoint(X0_13)
    | ~ rpoint(X1_13)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | vf(sK2,sK3) = vf(sK5,sK6)
    | X0_13 = sK3
    | sK2 = X0_13
    | sK2 = sK3
    | ron(X1_13,sK9(X1_13,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1087]) ).

cnf(c_2270,plain,
    ( vangle(sK2,sK1,sK3) != vangle(sK5,sK4,sK6)
    | vf(sK1,sK2) != vf(sK4,sK5)
    | vf(sK1,sK3) != vf(sK4,sK6)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ rpoint(sK1)
    | ~ rpoint(sK4)
    | vf(sK2,sK3) = vf(sK5,sK6)
    | sK2 = sK3
    | sK2 = sK1
    | sK1 = sK3
    | rline(sK9(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1489]) ).

cnf(c_2327,plain,
    ( vangle(sK2,sK1,sK3) != vangle(sK5,sK4,sK6)
    | vf(sK1,sK2) != vf(sK4,sK5)
    | vf(sK1,sK3) != vf(sK4,sK6)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ rpoint(sK1)
    | ~ rpoint(sK4)
    | vf(sK2,sK3) = vf(sK5,sK6)
    | sK2 = sK3
    | sK2 = sK1
    | sK1 = sK3
    | ron(sK6,sK9(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1491]) ).

cnf(c_2349,plain,
    ( vangle(sK2,sK1,sK3) != vangle(sK5,sK4,sK6)
    | vf(sK1,sK2) != vf(sK4,sK5)
    | vf(sK1,sK3) != vf(sK4,sK6)
    | ~ rpoint(sK2)
    | ~ rpoint(sK3)
    | ~ rpoint(sK5)
    | ~ rpoint(sK6)
    | ~ rpoint(sK1)
    | ~ rpoint(sK4)
    | vf(sK2,sK3) = vf(sK5,sK6)
    | sK2 = sK3
    | sK2 = sK1
    | sK1 = sK3
    | ron(sK4,sK9(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1495]) ).

cnf(c_5504,plain,
    ( ~ ron(sK5,sK9(sK4,sK5,sK6))
    | ~ ron(sK6,sK9(sK4,sK5,sK6))
    | ~ ron(sK4,sK9(sK4,sK5,sK6))
    | ~ rline(sK9(sK4,sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_1097]) ).

cnf(c_5505,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_5504,c_3171,c_3170,c_2349,c_2338,c_2327,c_2270,c_1110,c_1106,c_1105,c_1104,c_1100,c_1099,c_1098,c_50,c_51,c_52,c_56,c_57,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO287+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n029.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 : Tue Aug 29 21:15:57 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 60.78/9.19  % SZS status Started for theBenchmark.p
% 60.78/9.19  % SZS status Theorem for theBenchmark.p
% 60.78/9.19  
% 60.78/9.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 60.78/9.19  
% 60.78/9.19  ------  iProver source info
% 60.78/9.19  
% 60.78/9.19  git: date: 2023-05-31 18:12:56 +0000
% 60.78/9.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 60.78/9.19  git: non_committed_changes: false
% 60.78/9.19  git: last_make_outside_of_git: false
% 60.78/9.19  
% 60.78/9.19  ------ Parsing...
% 60.78/9.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 60.78/9.19  
% 60.78/9.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 60.78/9.19  
% 60.78/9.19  ------ Preprocessing...
% 60.78/9.19  
% 60.78/9.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 60.78/9.19  ------ Proving...
% 60.78/9.19  ------ Problem Properties 
% 60.78/9.19  
% 60.78/9.19  
% 60.78/9.19  clauses                                 406
% 60.78/9.19  conjectures                             1
% 60.78/9.19  EPR                                     53
% 60.78/9.19  Horn                                    167
% 60.78/9.19  unary                                   15
% 60.78/9.19  binary                                  32
% 60.78/9.19  lits                                    5340
% 60.78/9.19  lits eq                                 2060
% 60.78/9.19  fd_pure                                 0
% 60.78/9.19  fd_pseudo                               0
% 60.78/9.19  fd_cond                                 0
% 60.78/9.19  fd_pseudo_cond                          214
% 60.78/9.19  AC symbols                              0
% 60.78/9.19  
% 60.78/9.19  ------ Input Options Time Limit: Unbounded
% 60.78/9.19  
% 60.78/9.19  
% 60.78/9.19  ------ 
% 60.78/9.19  Current options:
% 60.78/9.19  ------ 
% 60.78/9.19  
% 60.78/9.19  
% 60.78/9.19  
% 60.78/9.19  
% 60.78/9.19  ------ Proving...
% 60.78/9.19  
% 60.78/9.19  
% 60.78/9.19  % SZS status Theorem for theBenchmark.p
% 60.78/9.19  
% 60.78/9.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.38/9.19  
% 61.38/9.20  
%------------------------------------------------------------------------------