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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO332+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:20:58 PM UTC 2026

% Result   : Theorem 130.04s 20.98s
% Output   : CNFRefutation 130.04s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f131ERROR: Could not build tree for root c_78653ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(389, 1370, 0)') ).

fof(f4,axiom,
    vf(vd1361,vd1362) != vf(vd1361,vd1363),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(387, 1369, 0)') ).

fof(f5,axiom,
    vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(386, 1365, 0)') ).

fof(f6,axiom,
    vd1362 != vd1363,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 9)') ).

fof(f7,axiom,
    vd1361 != vd1363,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 8)') ).

fof(f8,axiom,
    vd1361 != vd1362,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 7)') ).

fof(f9,axiom,
    ? [X0] :
      ( rpoint(X0)
      & vd1363 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).

fof(f10,axiom,
    ? [X0] :
      ( rpoint(X0)
      & vd1362 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).

fof(f11,axiom,
    ? [X0] :
      ( rpoint(X0)
      & vd1361 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).

fof(f142,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6) ),
    inference(flattening,[],[f142]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
    inference(flattening,[],[f144]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(flattening,[],[f146]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X1 != X2 )
      | vf(X0,X1) = vf(X1,X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X1 != X2 )
      | vf(X0,X1) = vf(X1,X0) ),
    inference(flattening,[],[f160]) ).

fof(f348,plain,
    ( rpoint(sK1)
    & vd1363 = sK1 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f9]) ).

fof(f349,plain,
    ( rpoint(sK2)
    & vd1362 = sK2 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f10]) ).

fof(f350,plain,
    ( rpoint(sK3)
    & vd1361 = sK3 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f11]) ).

fof(f428,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | ~ rR(X0,vd1362,vd1361)
      | vf(vd1362,X0) != vf(vd1361,vd1363) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f429,plain,
    rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
    inference(cnf_transformation,[],[f3]) ).

fof(f433,plain,
    vd1361 != vd1363,
    inference(cnf_transformation,[],[f7]) ).

fof(f434,plain,
    vd1362 != vd1361,
    inference(cnf_transformation,[],[f8]) ).

fof(f435,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f348]) ).

fof(f436,plain,
    vd1363 = sK1,
    inference(cnf_transformation,[],[f348]) ).

fof(f437,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f349]) ).

fof(f438,plain,
    vd1362 = sK2,
    inference(cnf_transformation,[],[f349]) ).

fof(f439,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f350]) ).

fof(f440,plain,
    vd1361 = sK3,
    inference(cnf_transformation,[],[f350]) ).

fof(f455,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f456,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f457,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X6 != X7
      | X0 = X2
      | X4 = X6
      | ~ rless(vf(X4,X6),vf(X0,X2))
      | rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f470,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | X1 != X2
      | vf(X0,X1) = vf(X1,X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f688,plain,
    ! [X0] :
      ( ~ rpoint(X0)
      | ~ rR(X0,sK2,sK3)
      | vf(sK2,X0) != vf(sK3,sK1) ),
    inference(definition_unfolding,[],[f428,f438,f440,f436,f438,f440]) ).

fof(f689,plain,
    rless(vf(sK3,sK1),vf(sK3,sK2)),
    inference(definition_unfolding,[],[f429,f440,f436,f440,f438]) ).

fof(f693,plain,
    sK1 != sK3,
    inference(definition_unfolding,[],[f433,f440,f436]) ).

fof(f694,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f434,f438,f440]) ).

fof(f786,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X0 = X2
      | X4 = X7
      | ~ rless(vf(X4,X7),vf(X0,X2))
      | vf(X4,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7)) ),
    inference(equality_resolution,[],[f455]) ).

fof(f787,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X0 = X2
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X0,X2))
      | vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7)) ),
    inference(equality_resolution,[],[f786]) ).

fof(f788,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X0 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X0,X3))
      | vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7)) ),
    inference(equality_resolution,[],[f787]) ).

fof(f789,plain,
    ! [X3,X1,X7,X5] :
      ( ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X1 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X1,X3))
      | vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7)) ),
    inference(equality_resolution,[],[f788]) ).

fof(f790,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X0 = X2
      | X4 = X7
      | ~ rless(vf(X4,X7),vf(X0,X2))
      | rR(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7),X0,X2) ),
    inference(equality_resolution,[],[f456]) ).

fof(f791,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X0 = X2
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X0,X2))
      | rR(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7),X0,X2) ),
    inference(equality_resolution,[],[f790]) ).

fof(f792,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X0 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X0,X3))
      | rR(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7),X0,X3) ),
    inference(equality_resolution,[],[f791]) ).

fof(f793,plain,
    ! [X3,X1,X7,X5] :
      ( ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X1 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X1,X3))
      | rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3) ),
    inference(equality_resolution,[],[f792]) ).

fof(f794,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | X4 != X5
      | ~ rpoint(X7)
      | X0 = X2
      | X4 = X7
      | ~ rless(vf(X4,X7),vf(X0,X2))
      | rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7)) ),
    inference(equality_resolution,[],[f457]) ).

fof(f795,plain,
    ! [X2,X3,X0,X1,X7,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | X2 != X3
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X0 = X2
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X0,X2))
      | rpoint(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7)) ),
    inference(equality_resolution,[],[f794]) ).

fof(f796,plain,
    ! [X3,X0,X1,X7,X5] :
      ( ~ rpoint(X1)
      | X0 != X1
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X0 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X0,X3))
      | rpoint(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7)) ),
    inference(equality_resolution,[],[f795]) ).

fof(f797,plain,
    ! [X3,X1,X7,X5] :
      ( ~ rpoint(X1)
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | ~ rpoint(X7)
      | X1 = X3
      | X5 = X7
      | ~ rless(vf(X5,X7),vf(X1,X3))
      | rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7)) ),
    inference(equality_resolution,[],[f796]) ).

fof(f842,plain,
    ! [X2,X3,X0] :
      ( ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X2)
      | vf(X0,X2) = vf(X2,X0) ),
    inference(equality_resolution,[],[f470]) ).

fof(f843,plain,
    ! [X2,X3] :
      ( ~ rpoint(X3)
      | ~ rpoint(X2)
      | vf(X3,X2) = vf(X2,X3) ),
    inference(equality_resolution,[],[f842]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i] :
      ( ~ rpoint(X0)
      | ~ rR(X0,sK2,sK3)
      | ( vf(sK2,X0) != vf(sK3,sK1) ) ),
    inference(cnf_transformation,[],[f688]) ).

tcf(c_50,plain,
    rless(vf(sK3,sK1),vf(sK3,sK2)),
    inference(cnf_transformation,[],[f689]) ).

tcf(c_54,plain,
    sK3 != sK1,
    inference(cnf_transformation,[],[f693]) ).

tcf(c_55,plain,
    sK2 != sK3,
    inference(cnf_transformation,[],[f694]) ).

tcf(c_56,plain,
    rpoint(sK1),
    inference(cnf_transformation,[],[f435]) ).

tcf(c_57,plain,
    rpoint(sK2),
    inference(cnf_transformation,[],[f437]) ).

tcf(c_58,plain,
    rpoint(sK3),
    inference(cnf_transformation,[],[f439]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ( X0 = X1 )
      | ( vf(X2,vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) = vf(X0,X1) )
      | ~ rpoint(X3)
      | ~ rpoint(X2)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rless(vf(X0,X1),vf(X2,X3)) ),
    inference(cnf_transformation,[],[f789]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( rR(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1),X2,X3)
      | ( X2 = X3 )
      | ( X0 = X1 )
      | ~ rpoint(X3)
      | ~ rpoint(X2)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rless(vf(X0,X1),vf(X2,X3)) ),
    inference(cnf_transformation,[],[f793]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( rpoint(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1))
      | ( X2 = X3 )
      | ( X0 = X1 )
      | ~ rpoint(X3)
      | ~ rpoint(X2)
      | ~ rpoint(X1)
      | ~ rpoint(X0)
      | ~ rless(vf(X0,X1),vf(X2,X3)) ),
    inference(cnf_transformation,[],[f797]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i] :
      ( ( vf(X0,X1) = vf(X1,X0) )
      | ~ rpoint(X1)
      | ~ rpoint(X0) ),
    inference(cnf_transformation,[],[f843]) ).

tcf(c_10148,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_10154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( rless(X0,X2)
      | ~ rless(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_17728,plain,
    ! [X0: $i] :
      ( ( vf(X0,sK2) = vf(sK2,X0) )
      | ~ rpoint(X0) ),
    inference(superposition,[status(thm)],[c_57,c_88]) ).

tcf(c_18275,plain,
    vf(sK2,sK3) = vf(sK3,sK2),
    inference(superposition,[status(thm)],[c_58,c_17728]) ).

tcf(c_24474,plain,
    vf(sK3,sK1) = vf(sK3,sK1),
    inference(instantiation,[status(thm)],[c_10148]) ).

tcf(c_58866,plain,
    ! [X0: $i,X1: $i] :
      ( rless(X0,X1)
      | ~ rless(vf(sK3,sK1),vf(sK3,sK2))
      | ( X1 != vf(sK3,sK2) )
      | ( X0 != vf(sK3,sK1) ) ),
    inference(instantiation,[status(thm)],[c_10154]) ).

tcf(c_60064,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( rless(X2,vf(X0,X1))
      | ~ rless(vf(sK3,sK1),vf(sK3,sK2))
      | ( X2 != vf(sK3,sK1) )
      | ( vf(X0,X1) != vf(sK3,sK2) ) ),
    inference(instantiation,[status(thm)],[c_58866]) ).

tcf(c_63891,plain,
    ! [X0: $i] :
      ( rless(X0,vf(sK2,sK3))
      | ~ rless(vf(sK3,sK1),vf(sK3,sK2))
      | ( X0 != vf(sK3,sK1) )
      | ( vf(sK2,sK3) != vf(sK3,sK2) ) ),
    inference(instantiation,[status(thm)],[c_60064]) ).

tcf(c_65616,plain,
    ( rless(vf(sK3,sK1),vf(sK2,sK3))
    | ~ rless(vf(sK3,sK1),vf(sK3,sK2))
    | ( vf(sK3,sK1) != vf(sK3,sK1) )
    | ( vf(sK2,sK3) != vf(sK3,sK2) ) ),
    inference(instantiation,[status(thm)],[c_63891]) ).

tcf(c_69086,plain,
    ( ( sK3 = sK1 )
    | ( sK2 = sK3 )
    | ( vf(sK2,vskolem1120(sK2,sK2,sK3,sK3,sK3,sK3,sK1,sK1)) = vf(sK3,sK1) )
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rless(vf(sK3,sK1),vf(sK2,sK3)) ),
    inference(instantiation,[status(thm)],[c_73]) ).

tcf(c_69087,plain,
    ( rR(vskolem1120(sK2,sK2,sK3,sK3,sK3,sK3,sK1,sK1),sK2,sK3)
    | ( sK3 = sK1 )
    | ( sK2 = sK3 )
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rless(vf(sK3,sK1),vf(sK2,sK3)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

tcf(c_69088,plain,
    ( rpoint(vskolem1120(sK2,sK2,sK3,sK3,sK3,sK3,sK1,sK1))
    | ( sK3 = sK1 )
    | ( sK2 = sK3 )
    | ~ rpoint(sK1)
    | ~ rpoint(sK3)
    | ~ rpoint(sK2)
    | ~ rless(vf(sK3,sK1),vf(sK2,sK3)) ),
    inference(instantiation,[status(thm)],[c_75]) ).

tcf(c_78652,plain,
    ( ~ rpoint(vskolem1120(sK2,sK2,sK3,sK3,sK3,sK3,sK1,sK1))
    | ~ rR(vskolem1120(sK2,sK2,sK3,sK3,sK3,sK3,sK1,sK1),sK2,sK3)
    | ( vf(sK2,vskolem1120(sK2,sK2,sK3,sK3,sK3,sK3,sK1,sK1)) != vf(sK3,sK1) ) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_78653,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_78652,c_69086,c_69087,c_69088,c_65616,c_24474,c_18275,c_50,c_54,c_55,c_56,c_57,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO332+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36  % Computer : n013.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Wed Sep 23 11:57:06 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.41  
% 0.11/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41  
% 0.11/0.41  % Detected problem language: tptp
% 0.11/0.42  % Proving...
% 130.04/20.98  % SZS status Started for theBenchmark.p
% 130.04/20.98  % SZS status Theorem for theBenchmark.p
% 130.04/20.98  
% 130.04/20.98  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 130.04/20.98  
% 130.04/20.98  % ------  iProver source info
% 130.04/20.98  
% 130.04/20.98  % git: date: 2026-07-19 20:42:38 +0200
% 130.04/20.98  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 130.04/20.98  % git: non_committed_changes: false
% 130.04/20.98  
% 130.04/20.98  % ------ Parsing...
% 130.04/20.98  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 130.04/20.98  
% 130.04/20.98  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 130.04/20.98  
% 130.04/20.98  % ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 130.04/20.98  
% 130.04/20.98  % ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 130.04/20.98  % ------ Proving...
% 130.04/20.98  % ------ Problem Properties 
% 130.04/20.98  
% 130.04/20.98  % 
% 130.04/20.98  % clauses                               262
% 130.04/20.98  % conjectures                           1
% 130.04/20.98  % EPR                                   59
% 130.04/20.98  % Horn                                  167
% 130.04/20.98  % unary                                 11
% 130.04/20.98  % binary                                42
% 130.04/20.98  % lits                                  1685
% 130.04/20.98  % lits eq                               277
% 130.04/20.98  % fd_pure                               0
% 130.04/20.98  % fd_pseudo                             0
% 130.04/20.98  % fd_cond                               0
% 130.04/20.98  % fd_pseudo_cond                        64
% 130.04/20.98  % AC symbols                            0
% 130.04/20.98  
% 130.04/20.98  % ------ Input Options Time Limit: Unbounded
% 130.04/20.98  
% 130.04/20.98  
% 130.04/20.98  % ------ 
% 130.04/20.98  % Current options:
% 130.04/20.98  % ------ 
% 130.04/20.98  
% 130.04/20.98  
% 130.04/20.98  % 
% 130.04/20.98  
% 130.04/20.98  % ------ Proving...
% 130.04/20.98  % 
% 130.04/20.98  
% 130.04/20.98  % SZS status Theorem for theBenchmark.p
% 130.04/20.98  
% 130.04/20.98  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 130.04/20.98  
% 130.04/20.98  
%------------------------------------------------------------------------------