TSTP Solution File: NUM841+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 3.44s 1.15s
% Output   : CNFRefutation 3.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f1)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
    inference(negated_conjecture,[],[f1]) ).

fof(f28,plain,
    ~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
    inference(flattening,[],[f2]) ).

fof(f3,axiom,
    vplus(vd345,vd348) = vplus(vd348,vd345),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(213, 351, 2)') ).

fof(f59,plain,
    ~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
    inference(cnf_transformation,[],[f28]) ).

fof(f4,axiom,
    greater(vplus(vd347,vd345),vplus(vd348,vd345)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(213, 351, 1)') ).

fof(f60,plain,
    vplus(vd345,vd348) = vplus(vd348,vd345),
    inference(cnf_transformation,[],[f3]) ).

fof(f5,axiom,
    vplus(vd347,vd345) = vplus(vd345,vd347),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(213, 351, 0)') ).

fof(f61,plain,
    greater(vplus(vd347,vd345),vplus(vd348,vd345)),
    inference(cnf_transformation,[],[f4]) ).

fof(f6,axiom,
    greater(vplus(vd344,vd347),vplus(vd345,vd347)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(212, 350, 0)') ).

fof(f62,plain,
    vplus(vd347,vd345) = vplus(vd345,vd347),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,axiom,
    greater(vd347,vd348),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(211), 349, 0)') ).

fof(f63,plain,
    greater(vplus(vd344,vd347),vplus(vd345,vd347)),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,axiom,
    greater(vd344,vd345),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(211), 346, 0)') ).

fof(f64,plain,
    greater(vd347,vd348),
    inference(cnf_transformation,[],[f7]) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( less(vplus(X0,X2),vplus(X1,X2))
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).

fof(f65,plain,
    greater(vd344,vd345),
    inference(cnf_transformation,[],[f8]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( less(X0,X1)
      | ~ less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( vplus(X0,X2) = vplus(X1,X2)
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( less(X0,X1)
      | ~ less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | vplus(X0,X2) != vplus(X1,X2) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
     => greater(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | vplus(X0,X2) != vplus(X1,X2) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X1)
      | ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f12,axiom,
    ! [X3,X4,X5] :
      ( less(X3,X4)
     => less(vplus(X3,X5),vplus(X4,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X1)
      | ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( less(X0,X1)
     => less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(rectify,[],[f12]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( less(vplus(X0,X2),vplus(X1,X2))
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f13,axiom,
    ! [X3,X4,X5] :
      ( X3 = X4
     => vplus(X3,X5) = vplus(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 1)') ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( less(vplus(X0,X2),vplus(X1,X2))
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
     => vplus(X0,X2) = vplus(X1,X2) ),
    inference(rectify,[],[f13]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( vplus(X0,X2) = vplus(X1,X2)
      | X0 != X1 ),
    inference(ennf_transformation,[],[f30]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X0,X3) = X1
     => vplus(X0,sK0(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( vplus(X0,X2) = vplus(X1,X2)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f14,axiom,
    ! [X3,X4,X5] :
      ( greater(X3,X4)
     => greater(vplus(X3,X5),vplus(X4,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).

fof(f91,plain,
    ! [X2,X1] : vplus(X1,X2) = vplus(X1,X2),
    inference(equality_resolution,[],[f70]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X1)
     => greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(rectify,[],[f14]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f15,axiom,
    ! [X6,X7] : greater(vplus(X6,X7),X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f32,plain,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    inference(rectify,[],[f15]) ).

fof(f16,axiom,
    ! [X8,X9] :
      ( less(X8,X9)
     => greater(X9,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

fof(f72,plain,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( less(X0,X1)
     => greater(X1,X0) ),
    inference(rectify,[],[f16]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f17,axiom,
    ! [X10,X11] :
      ( greater(X10,X11)
     => less(X11,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

fof(f73,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => less(X1,X0) ),
    inference(rectify,[],[f17]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f18,axiom,
    ! [X12,X13] :
      ( less(X12,X13)
      | greater(X12,X13)
      | X12 = X13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof(f74,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f18]) ).

fof(f19,axiom,
    ! [X12,X13] :
      ( ~ less(X12,X13)
      | ~ greater(X12,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof(f75,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f19]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_49,negated_conjecture,
    ~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_51,plain,
    greater(vplus(vd347,vd345),vplus(vd348,vd345)),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_53,plain,
    greater(vplus(vd344,vd347),vplus(vd345,vd347)),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_55,plain,
    greater(vd344,vd345),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_58,plain,
    ( ~ greater(vplus(X0,X1),vplus(X2,X1))
    | greater(X0,X2) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_62,plain,
    ( ~ less(X0,X1)
    | greater(X1,X0) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_63,plain,
    ( ~ greater(X0,X1)
    | less(X1,X0) ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_64,plain,
    ( X0 = X1
    | greater(X0,X1)
    | less(X0,X1) ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_65,plain,
    ( ~ greater(X0,X1)
    | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_66,plain,
    greater(vplus(X0,X1),X0),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_67,plain,
    ( ~ greater(X0,X1)
    | vplus(X1,sK0(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_69,plain,
    vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_533,plain,
    less(X0,vplus(X0,X1)),
    inference(superposition,[status(thm)],[c_66,c_63]) ).

cnf(c_549,plain,
    less(X0,vplus(X1,X0)),
    inference(superposition,[status(thm)],[c_69,c_533]) ).

cnf(c_589,plain,
    ( X0 = X1
    | greater(X0,X1)
    | greater(X1,X0) ),
    inference(superposition,[status(thm)],[c_64,c_62]) ).

cnf(c_617,plain,
    ( ~ greater(vplus(X0,X1),vplus(X1,X2))
    | greater(X0,X2) ),
    inference(superposition,[status(thm)],[c_69,c_58]) ).

cnf(c_901,plain,
    vplus(vd345,sK0(vd345,vd344)) = vd344,
    inference(superposition,[status(thm)],[c_55,c_67]) ).

fof(f20,axiom,
    ! [X14,X15] :
      ( greater(X15,X14)
    <=> ? [X16] : vplus(X14,X16) = X15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(f92,plain,
    ! [X2,X0] : greater(vplus(X0,X2),X0),
    inference(equality_resolution,[],[f78]) ).

fof(f24,axiom,
    ! [X24] : vplus(v1,X24) = vsucc(X24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof(f86,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
    <=> ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f20]) ).

fof(f41,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(rectify,[],[f24]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( vsucc(X0) = vplus(X0,v1)
      & vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
    inference(rectify,[],[f26]) ).

fof(f44,plain,
    ! [X0] :
      ( v1 != X0
     => vsucc(vskolem2(X0)) = X0 ),
    inference(rectify,[],[f27]) ).

fof(f54,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(ennf_transformation,[],[f44]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ~ greater(X1,X0) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X3] : vplus(X0,X3) = X1
        | ~ greater(X1,X0) ) ),
    inference(rectify,[],[f55]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( vplus(X0,sK0(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f56,f57]) ).

fof(f21,axiom,
    ! [X17,X18] :
      ( ~ ? [X19] : vplus(X18,X19) = X17
      | X17 != X18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).

fof(f77,plain,
    ! [X0,X1] :
      ( vplus(X0,sK0(X0,X1)) = X1
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ ? [X2] : vplus(X1,X2) = X0
      | X0 != X1 ),
    inference(rectify,[],[f21]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X1,X2) != X0
      | X0 != X1 ),
    inference(ennf_transformation,[],[f38]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( greater(X1,X0)
      | vplus(X0,X2) != X1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( vplus(X1,X2) != X0
      | X0 != X1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f22,axiom,
    ! [X20,X21] : vplus(X21,X20) = vplus(X20,X21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof(f93,plain,
    ! [X2,X1] : vplus(X1,X2) != X1,
    inference(equality_resolution,[],[f79]) ).

fof(f39,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(rectify,[],[f22]) ).

fof(f23,axiom,
    ! [X22,X23] : vplus(vsucc(X22),X23) = vsucc(vplus(X22,X23)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).

fof(f80,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f40,plain,
    ! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
    inference(rectify,[],[f23]) ).

fof(f81,plain,
    ! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
    inference(cnf_transformation,[],[f40]) ).

fof(f82,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(cnf_transformation,[],[f41]) ).

fof(f25,axiom,
    ! [X25,X26,X27] : vplus(vplus(X25,X26),X27) = vplus(X25,vplus(X26,X27)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f87,plain,
    ! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
    inference(definition_unfolding,[],[f81,f82,f82]) ).

fof(f42,plain,
    ! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f25]) ).

fof(f83,plain,
    ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f42]) ).

fof(f84,plain,
    ! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
    inference(cnf_transformation,[],[f43]) ).

fof(f27,axiom,
    ! [X30] :
      ( v1 != X30
     => vsucc(vskolem2(X30)) = X30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).

fof(f89,plain,
    ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f84,f82,f82]) ).

fof(f85,plain,
    ! [X0] : vsucc(X0) = vplus(X0,v1),
    inference(cnf_transformation,[],[f43]) ).

fof(f26,axiom,
    ! [X28,X29] :
      ( vplus(X28,v1) = vsucc(X28)
      & vplus(X28,vsucc(X29)) = vsucc(vplus(X28,X29)) ),
    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(f88,plain,
    ! [X0] : vplus(v1,X0) = vplus(X0,v1),
    inference(definition_unfolding,[],[f85,f82]) ).

cnf(c_71,plain,
    vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f83]) ).

cnf(c_93,negated_conjecture,
    ~ greater(vplus(vd347,vd344),vplus(vd345,vd348)),
    inference(theory_normalisation,[status(thm)],[c_49,c_71,c_69]) ).

cnf(c_94,plain,
    greater(vplus(vd345,vd347),vplus(vd345,vd348)),
    inference(theory_normalisation,[status(thm)],[c_51,c_71,c_69]) ).

cnf(c_95,plain,
    greater(vplus(vd347,vd344),vplus(vd345,vd347)),
    inference(theory_normalisation,[status(thm)],[c_53,c_71,c_69]) ).

cnf(c_537,plain,
    less(vplus(vd345,vd348),vplus(vd345,vd347)),
    inference(superposition,[status(thm)],[c_94,c_63]) ).

cnf(c_565,plain,
    ~ greater(vplus(vd345,vd348),vplus(vd345,vd347)),
    inference(superposition,[status(thm)],[c_537,c_65]) ).

cnf(c_663,plain,
    ( vplus(vd347,vd344) = vplus(vd345,vd348)
    | greater(vplus(vd345,vd348),vplus(vd347,vd344)) ),
    inference(superposition,[status(thm)],[c_589,c_93]) ).

cnf(c_909,plain,
    ( vplus(vplus(vd347,vd344),sK0(vplus(vd347,vd344),vplus(vd345,vd348))) = vplus(vd345,vd348)
    | vplus(vd347,vd344) = vplus(vd345,vd348) ),
    inference(superposition,[status(thm)],[c_663,c_67]) ).

cnf(c_924,plain,
    ( vplus(vd347,vplus(vd344,sK0(vplus(vd347,vd344),vplus(vd345,vd348)))) = vplus(vd345,vd348)
    | vplus(vd347,vd344) = vplus(vd345,vd348) ),
    inference(theory_normalisation,[status(thm)],[c_909,c_71,c_69]) ).

cnf(c_971,plain,
    less(X0,vplus(X1,vplus(X2,X0))),
    inference(superposition,[status(thm)],[c_71,c_549]) ).

cnf(c_1084,plain,
    less(X0,vplus(X1,vplus(X0,X2))),
    inference(superposition,[status(thm)],[c_69,c_971]) ).

cnf(c_1591,plain,
    ( ~ greater(vplus(X0,vd347),vplus(vd345,vd348))
    | vplus(vd347,vd344) = vplus(vd345,vd348)
    | greater(X0,vplus(vd344,sK0(vplus(vd347,vd344),vplus(vd345,vd348)))) ),
    inference(superposition,[status(thm)],[c_924,c_617]) ).

cnf(c_2392,plain,
    less(vd345,vplus(X0,vd344)),
    inference(superposition,[status(thm)],[c_901,c_1084]) ).

cnf(c_2629,plain,
    less(vd345,vplus(vd344,X0)),
    inference(superposition,[status(thm)],[c_69,c_2392]) ).

cnf(c_2926,plain,
    ~ greater(vd345,vplus(vd344,X0)),
    inference(superposition,[status(thm)],[c_2629,c_65]) ).

cnf(c_2999,plain,
    ( ~ greater(vplus(vd345,vd347),vplus(vd345,vd348))
    | vplus(vd347,vd344) = vplus(vd345,vd348) ),
    inference(superposition,[status(thm)],[c_1591,c_2926]) ).

cnf(c_3000,plain,
    vplus(vd347,vd344) = vplus(vd345,vd348),
    inference(forward_subsumption_resolution,[status(thm)],[c_2999,c_94]) ).

cnf(c_3003,plain,
    greater(vplus(vd345,vd348),vplus(vd345,vd347)),
    inference(demodulation,[status(thm)],[c_95,c_3000]) ).

cnf(c_3005,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3003,c_565]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 15:44:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.44/1.15  % SZS status Started for theBenchmark.p
% 3.44/1.15  % SZS status Theorem for theBenchmark.p
% 3.44/1.15  
% 3.44/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.44/1.15  
% 3.44/1.15  ------  iProver source info
% 3.44/1.15  
% 3.44/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.44/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.44/1.15  git: non_committed_changes: false
% 3.44/1.15  git: last_make_outside_of_git: false
% 3.44/1.15  
% 3.44/1.15  ------ Parsing...
% 3.44/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.44/1.15  
% 3.44/1.15  ------ 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 
% 3.44/1.15  
% 3.44/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.44/1.15  
% 3.44/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.44/1.15  ------ Proving...
% 3.44/1.15  ------ Problem Properties 
% 3.44/1.15  
% 3.44/1.15  
% 3.44/1.15  clauses                                 20
% 3.44/1.15  conjectures                             1
% 3.44/1.15  EPR                                     6
% 3.44/1.15  Horn                                    18
% 3.44/1.15  unary                                   9
% 3.44/1.15  binary                                  10
% 3.44/1.15  lits                                    32
% 3.44/1.15  lits eq                                 9
% 3.44/1.15  fd_pure                                 0
% 3.44/1.15  fd_pseudo                               0
% 3.44/1.15  fd_cond                                 0
% 3.44/1.15  fd_pseudo_cond                          2
% 3.44/1.15  AC symbols                              1
% 3.44/1.15  
% 3.44/1.15  ------ Schedule dynamic 5 is on 
% 3.44/1.15  
% 3.44/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.44/1.15  
% 3.44/1.15  
% 3.44/1.15  ------ 
% 3.44/1.15  Current options:
% 3.44/1.15  ------ 
% 3.44/1.15  
% 3.44/1.15  
% 3.44/1.15  
% 3.44/1.15  
% 3.44/1.15  ------ Proving...
% 3.44/1.15  
% 3.44/1.15  
% 3.44/1.15  % SZS status Theorem for theBenchmark.p
% 3.44/1.15  
% 3.44/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.44/1.15  
% 3.44/1.15  
%------------------------------------------------------------------------------