TSTP Solution File: NUM841+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 : Thu Aug 31 11:33:10 EDT 2023

% Result   : Theorem 1.69s 1.17s
% Output   : CNFRefutation 1.69s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f124)

% Comments : 
%------------------------------------------------------------------------------
fof(f115,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X0,X3) = X1
     => vplus(X0,sK1(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X0,X2) = X1
     => vplus(X0,sK2(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X1,X3) = X0
     => vplus(X1,sK3(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

cnf(c_49,negated_conjecture,
    ~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_51,plain,
    greater(vplus(vd347,vd345),vplus(vd348,vd345)),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_53,plain,
    greater(vplus(vd344,vd347),vplus(vd345,vd347)),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_63,plain,
    ( ~ less(X0,X1)
    | ~ leq(X1,X2)
    | less(X0,X2) ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_64,plain,
    ( ~ less(X0,X1)
    | ~ leq(X2,X0)
    | less(X2,X1) ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_72,plain,
    ( ~ greater(X0,X1)
    | geq(X0,X1) ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_75,plain,
    ( ~ greater(X0,X1)
    | less(X1,X0) ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_76,plain,
    ( X0 = X1
    | greater(X0,X1)
    | less(X0,X1) ),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_78,plain,
    ( ~ greater(X0,X1)
    | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_90,plain,
    vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_1258,plain,
    ( ~ greater(vplus(vd347,vd344),vplus(vd345,vd347))
    | ~ less(vplus(vd347,vd344),vplus(vd345,vd347)) ),
    inference(instantiation,[status(thm)],[c_78]) ).

fof(f17,axiom,
    ! [X11,X12,X13] :
      ( ( ( less(X11,X12)
          & leq(X12,X13) )
        | ( leq(X11,X12)
          & less(X12,X13) ) )
     => less(X11,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ leq(X1,X2) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f30,axiom,
    ! [X34,X35] :
      ( greater(X35,X34)
    <=> ? [X36] : vplus(X34,X36) = X35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(f187,plain,
    ! [X2,X0] : greater(vplus(X0,X2),X0),
    inference(equality_resolution,[],[f155]) ).

fof(f39,axiom,
    ! [X50] : vplus(v1,X50) = vsucc(X50),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof(f172,plain,
    ! [X0] : v1 != vsucc(X0),
    inference(cnf_transformation,[],[f82]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( ( ( less(X0,X1)
          & leq(X1,X2) )
        | ( leq(X0,X1)
          & less(X1,X2) ) )
     => less(X0,X2) ),
    inference(rectify,[],[f17]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
    <=> ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f30]) ).

fof(f75,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(rectify,[],[f39]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( vsucc(X0) = vplus(X0,v1)
      & vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
    inference(rectify,[],[f41]) ).

fof(f78,plain,
    ! [X0] :
      ( v1 != X0
     => vsucc(vskolem2(X0)) = X0 ),
    inference(rectify,[],[f42]) ).

fof(f79,plain,
    ! [X0] : vsucc(X0) != X0,
    inference(rectify,[],[f43]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( X0 != X1
     => vsucc(X0) != vsucc(X1) ),
    inference(rectify,[],[f44]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( vsucc(X0) = vsucc(X1)
     => X0 = X1 ),
    inference(rectify,[],[f45]) ).

fof(f82,plain,
    ! [X0] : v1 != vsucc(X0),
    inference(rectify,[],[f46]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ( ( ~ less(X0,X1)
          | ~ leq(X1,X2) )
        & ( ~ leq(X0,X1)
          | ~ less(X1,X2) ) ) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f18,axiom,
    ! [X14,X15,X16] :
      ( ( less(X14,X15)
        & less(X15,X16) )
     => less(X14,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ leq(X0,X1)
      | ~ less(X1,X2) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ( less(X0,X1)
        & less(X1,X2) )
     => less(X0,X2) ),
    inference(rectify,[],[f18]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(flattening,[],[f92]) ).

fof(f19,axiom,
    ! [X17,X18] :
      ( leq(X17,X18)
     => geq(X18,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
     => geq(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f20,axiom,
    ! [X19,X20] :
      ( geq(X19,X20)
     => leq(X20,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).

fof(f138,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( geq(X0,X1)
     => leq(X1,X0) ),
    inference(rectify,[],[f20]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ geq(X0,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f102,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(ennf_transformation,[],[f78]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( vsucc(X0) != vsucc(X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f80]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( X0 = X1
      | vsucc(X0) != vsucc(X1) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ~ greater(X1,X0) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X3] : vplus(X0,X3) = X1
        | ~ greater(X1,X0) ) ),
    inference(rectify,[],[f113]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( vplus(X0,sK1(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f114,f115]) ).

fof(f31,axiom,
    ! [X37,X38] :
      ( ? [X40] : vplus(X37,X40) = X38
      | ? [X39] : vplus(X38,X39) = X37
      | X37 = X38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).

fof(f154,plain,
    ! [X0,X1] :
      ( vplus(X0,sK1(X0,X1)) = X1
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X0,X2) = X1
      | ? [X3] : vplus(X1,X3) = X0
      | X0 = X1 ),
    inference(rectify,[],[f31]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( vplus(X0,sK2(X0,X1)) = X1
      | vplus(X1,sK3(X0,X1)) = X0
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f67,f118,f117]) ).

fof(f32,axiom,
    ! [X37,X38] :
      ( ~ ? [X40] : vplus(X37,X40) = X38
      | X37 != X38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).

fof(f156,plain,
    ! [X0,X1] :
      ( vplus(X0,sK2(X0,X1)) = X1
      | vplus(X1,sK3(X0,X1)) = X0
      | X0 = X1 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ ? [X2] : vplus(X0,X2) = X1
      | X0 != X1 ),
    inference(rectify,[],[f32]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X0,X2) != X1
      | X0 != X1 ),
    inference(ennf_transformation,[],[f68]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ geq(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( greater(X1,X0)
      | vplus(X0,X2) != X1 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( vplus(X0,X2) != X1
      | X0 != X1 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f33,axiom,
    ! [X37,X38] :
      ( ~ ? [X40] : vplus(X37,X40) = X38
      | ~ ? [X39] : vplus(X38,X39) = X37 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).

fof(f188,plain,
    ! [X2,X0] : vplus(X0,X2) != X0,
    inference(equality_resolution,[],[f157]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ ? [X2] : vplus(X0,X2) = X1
      | ~ ? [X3] : vplus(X1,X3) = X0 ),
    inference(rectify,[],[f33]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X0,X2) != X1
      | ! [X3] : vplus(X1,X3) != X0 ),
    inference(ennf_transformation,[],[f69]) ).

fof(f158,plain,
    ! [X2,X3,X0,X1] :
      ( vplus(X0,X2) != X1
      | vplus(X1,X3) != X0 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f34,axiom,
    ! [X37,X38] :
      ( ~ ? [X39] : vplus(X38,X39) = X37
      | X37 != X38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).

fof(f189,plain,
    ! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
    inference(equality_resolution,[],[f158]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ ? [X2] : vplus(X1,X2) = X0
      | X0 != X1 ),
    inference(rectify,[],[f34]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X1,X2) != X0
      | X0 != X1 ),
    inference(ennf_transformation,[],[f70]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( vplus(X1,X2) != X0
      | X0 != X1 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f35,axiom,
    ! [X41,X42] :
      ( X41 != X42
     => ! [X43] : vplus(X43,X41) != vplus(X43,X42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).

fof(f190,plain,
    ! [X2,X1] : vplus(X1,X2) != X1,
    inference(equality_resolution,[],[f159]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( X0 != X1
     => ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
    inference(rectify,[],[f35]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f71]) ).

fof(f36,axiom,
    ! [X44,X45] : vplus(X44,X45) != X45,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).

fof(f160,plain,
    ! [X2,X0,X1] :
      ( vplus(X2,X0) != vplus(X2,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f72,plain,
    ! [X0,X1] : vplus(X0,X1) != X1,
    inference(rectify,[],[f36]) ).

fof(f37,axiom,
    ! [X46,X47] : vplus(X47,X46) = vplus(X46,X47),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof(f161,plain,
    ! [X0,X1] : vplus(X0,X1) != X1,
    inference(cnf_transformation,[],[f72]) ).

fof(f73,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(rectify,[],[f37]) ).

fof(f38,axiom,
    ! [X48,X49] : vplus(vsucc(X48),X49) = vsucc(vplus(X48,X49)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).

fof(f162,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f73]) ).

fof(f74,plain,
    ! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
    inference(rectify,[],[f38]) ).

fof(f163,plain,
    ! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
    inference(cnf_transformation,[],[f74]) ).

fof(f164,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(cnf_transformation,[],[f75]) ).

fof(f40,axiom,
    ! [X51,X52,X53] : vplus(vplus(X51,X52),X53) = vplus(X51,vplus(X52,X53)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f173,plain,
    ! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
    inference(definition_unfolding,[],[f163,f164,f164]) ).

fof(f76,plain,
    ! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f40]) ).

fof(f165,plain,
    ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f76]) ).

fof(f166,plain,
    ! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
    inference(cnf_transformation,[],[f77]) ).

fof(f42,axiom,
    ! [X56] :
      ( v1 != X56
     => vsucc(vskolem2(X56)) = X56 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).

fof(f175,plain,
    ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f166,f164,f164]) ).

fof(f167,plain,
    ! [X0] : vsucc(X0) = vplus(X0,v1),
    inference(cnf_transformation,[],[f77]) ).

fof(f41,axiom,
    ! [X54,X55] :
      ( vplus(X54,v1) = vsucc(X54)
      & vplus(X54,vsucc(X55)) = vsucc(vplus(X54,X55)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

fof(f174,plain,
    ! [X0] : vplus(v1,X0) = vplus(X0,v1),
    inference(definition_unfolding,[],[f167,f164]) ).

fof(f168,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f43,axiom,
    ! [X57] : vsucc(X57) != X57,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).

fof(f176,plain,
    ! [X0] :
      ( vplus(v1,vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(definition_unfolding,[],[f168,f164]) ).

fof(f169,plain,
    ! [X0] : vsucc(X0) != X0,
    inference(cnf_transformation,[],[f79]) ).

fof(f44,axiom,
    ! [X58,X59] :
      ( X58 != X59
     => vsucc(X58) != vsucc(X59) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).

fof(f177,plain,
    ! [X0] : vplus(v1,X0) != X0,
    inference(definition_unfolding,[],[f169,f164]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( vsucc(X0) != vsucc(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f45,axiom,
    ! [X60,X61] :
      ( vsucc(X60) = vsucc(X61)
     => X60 = X61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).

fof(f178,plain,
    ! [X0,X1] :
      ( vplus(v1,X0) != vplus(v1,X1)
      | X0 = X1 ),
    inference(definition_unfolding,[],[f170,f164,f164]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( X0 = X1
      | vsucc(X0) != vsucc(X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f46,axiom,
    ! [X62] : v1 != vsucc(X62),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).

fof(f179,plain,
    ! [X0,X1] :
      ( X0 = X1
      | vplus(v1,X0) != vplus(v1,X1) ),
    inference(definition_unfolding,[],[f171,f164,f164]) ).

cnf(c_67,plain,
    ( ~ geq(X0,X1)
    | leq(X1,X0) ),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_92,plain,
    vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_119,negated_conjecture,
    ~ greater(vplus(vd347,vd344),vplus(vd345,vd348)),
    inference(theory_normalisation,[status(thm)],[c_49,c_92,c_90]) ).

cnf(c_120,plain,
    greater(vplus(vd345,vd347),vplus(vd345,vd348)),
    inference(theory_normalisation,[status(thm)],[c_51,c_92,c_90]) ).

cnf(c_121,plain,
    greater(vplus(vd347,vd344),vplus(vd345,vd347)),
    inference(theory_normalisation,[status(thm)],[c_53,c_92,c_90]) ).

cnf(c_384,plain,
    ( X0 != X1
    | X2 != X3
    | ~ greater(X0,X2)
    | leq(X3,X1) ),
    inference(resolution_lifted,[status(thm)],[c_72,c_67]) ).

cnf(c_385,plain,
    ( ~ greater(X0,X1)
    | leq(X1,X0) ),
    inference(unflattening,[status(thm)],[c_384]) ).

cnf(c_1007,plain,
    less(vplus(vd345,vd348),vplus(vd345,vd347)),
    inference(superposition,[status(thm)],[c_120,c_75]) ).

cnf(c_1020,plain,
    leq(vplus(vd345,vd348),vplus(vd345,vd347)),
    inference(superposition,[status(thm)],[c_120,c_385]) ).

cnf(c_1038,plain,
    ~ greater(vplus(vd345,vd348),vplus(vd345,vd347)),
    inference(superposition,[status(thm)],[c_1007,c_78]) ).

cnf(c_1066,plain,
    ( vplus(vd347,vd344) = vplus(vd345,vd348)
    | less(vplus(vd347,vd344),vplus(vd345,vd348)) ),
    inference(superposition,[status(thm)],[c_76,c_119]) ).

cnf(c_1701,plain,
    ( ~ leq(vplus(vd345,vd348),X0)
    | vplus(vd347,vd344) = vplus(vd345,vd348)
    | less(vplus(vd347,vd344),X0) ),
    inference(superposition,[status(thm)],[c_1066,c_63]) ).

cnf(c_1758,plain,
    ( ~ leq(X0,vplus(vd347,vd344))
    | vplus(vd347,vd344) = vplus(vd345,vd348)
    | less(X0,vplus(vd345,vd348)) ),
    inference(superposition,[status(thm)],[c_1066,c_64]) ).

cnf(c_2039,plain,
    ( vplus(vd347,vd344) = vplus(vd345,vd348)
    | less(vplus(vd347,vd344),vplus(vd345,vd347)) ),
    inference(superposition,[status(thm)],[c_1020,c_1701]) ).

cnf(c_2061,plain,
    vplus(vd347,vd344) = vplus(vd345,vd348),
    inference(global_subsumption_just,[status(thm)],[c_1758,c_121,c_1258,c_2039]) ).

cnf(c_2070,plain,
    greater(vplus(vd345,vd348),vplus(vd345,vd347)),
    inference(demodulation,[status(thm)],[c_121,c_2061]) ).

cnf(c_2072,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2070,c_1038]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 17:30:08 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.69/1.17  % SZS status Started for theBenchmark.p
% 1.69/1.17  % SZS status Theorem for theBenchmark.p
% 1.69/1.17  
% 1.69/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.69/1.17  
% 1.69/1.17  ------  iProver source info
% 1.69/1.17  
% 1.69/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.69/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.69/1.17  git: non_committed_changes: false
% 1.69/1.17  git: last_make_outside_of_git: false
% 1.69/1.17  
% 1.69/1.17  ------ Parsing...
% 1.69/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.69/1.17  
% 1.69/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 1.69/1.17  
% 1.69/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.69/1.17  
% 1.69/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.69/1.17  ------ Proving...
% 1.69/1.17  ------ Problem Properties 
% 1.69/1.17  
% 1.69/1.17  
% 1.69/1.17  clauses                                 36
% 1.69/1.17  conjectures                             1
% 1.69/1.17  EPR                                     17
% 1.69/1.17  Horn                                    31
% 1.69/1.17  unary                                   14
% 1.69/1.17  binary                                  14
% 1.69/1.17  lits                                    66
% 1.69/1.17  lits eq                                 18
% 1.69/1.17  fd_pure                                 0
% 1.69/1.17  fd_pseudo                               0
% 1.69/1.17  fd_cond                                 0
% 1.69/1.17  fd_pseudo_cond                          5
% 1.69/1.17  AC symbols                              1
% 1.69/1.17  
% 1.69/1.17  ------ Schedule dynamic 5 is on 
% 1.69/1.17  
% 1.69/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.17  
% 1.69/1.17  
% 1.69/1.17  ------ 
% 1.69/1.17  Current options:
% 1.69/1.17  ------ 
% 1.69/1.17  
% 1.69/1.17  
% 1.69/1.17  
% 1.69/1.17  
% 1.69/1.17  ------ Proving...
% 1.69/1.17  
% 1.69/1.17  
% 1.69/1.17  % SZS status Theorem for theBenchmark.p
% 1.69/1.17  
% 1.69/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.17  
% 1.69/1.17  
%------------------------------------------------------------------------------