%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV843-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Sun Sep 27 09:09:12 AM UTC 2026
% Result : Unsatisfiable 47.99s 7.44s
% Output : CNFRefutation 47.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 58 ( 25 unt; 0 def)
% Number of atoms : 125 ( 33 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 132 ( 65 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 2 con; 0-4 aty)
% Number of variables : 138 ( 31 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(c_1,plain,
class_Orderings_Olinorder(tc_nat),
inference(clausify,[status(thm)],[clsarity_nat__Orderings_Olinorder]) ).
fof(cls_Max__def__raw_0,axiom,
! [VAR_0] :
( c_Finite__Set_Olinorder__class_OMax(VAR_0) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(VAR_0),VAR_0)
| ~ class_Orderings_Olinorder(VAR_0) ),
file('theBenchmark.p',cls_Max__def__raw_0) ).
cnf(c_30,plain,
( c_Finite__Set_Olinorder__class_OMax(A) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(A),A)
| ~ class_Orderings_Olinorder(A) ),
inference(clausify,[status(thm)],[cls_Max__def__raw_0]) ).
fof(cls_le__maxI2_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( hBOOL(hAPP(hAPP(c_lessequals(VAR_0),VAR_1),hAPP(hAPP(c_Orderings_Oord__class_Omax(VAR_0),VAR_2),VAR_1)))
| ~ class_Orderings_Olinorder(VAR_0) ),
file('theBenchmark.p',cls_le__maxI2_0) ).
cnf(c_92,plain,
( hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),B)))
| ~ class_Orderings_Olinorder(A) ),
inference(clausify,[status(thm)],[cls_le__maxI2_0]) ).
fof(cls_sup__max_0,axiom,
! [VAR_0] :
( c_Lattices_Oupper__semilattice__class_Osup(VAR_0) = c_Orderings_Oord__class_Omax(VAR_0)
| ~ class_Lattices_Oupper__semilattice(VAR_0)
| ~ class_Orderings_Olinorder(VAR_0) ),
file('theBenchmark.p',cls_sup__max_0) ).
cnf(c_110,plain,
( c_Lattices_Oupper__semilattice__class_Osup(A) = c_Orderings_Oord__class_Omax(A)
| ~ class_Lattices_Oupper__semilattice(A)
| ~ class_Orderings_Olinorder(A) ),
inference(clausify,[status(thm)],[cls_sup__max_0]) ).
fof(cls_lower__semilattice_Obelow__fold1__iff_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6] :
( ~ c_Lattices_Olower__semilattice(VAR_0,VAR_6,VAR_5,VAR_4)
| ~ c_Finite__Set_Ofinite(VAR_3,VAR_4)
| VAR_3 = c_Orderings_Obot__class_Obot(tc_fun(VAR_4,tc_bool))
| ~ hBOOL(hAPP(hAPP(VAR_0,VAR_1),hAPP(c_Finite__Set_Ofold1(VAR_5,VAR_4),VAR_3)))
| ~ hBOOL(c_in(VAR_2,VAR_3,VAR_4))
| hBOOL(hAPP(hAPP(VAR_0,VAR_1),VAR_2)) ),
file('theBenchmark.p',cls_lower__semilattice_Obelow__fold1__iff_0) ).
cnf(c_125,plain,
( ~ c_Lattices_Olower__semilattice(A,V6,F,E)
| ~ c_Finite__Set_Ofinite(D,E)
| D = c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool))
| ~ hBOOL(hAPP(hAPP(A,B),hAPP(c_Finite__Set_Ofold1(F,E),D)))
| ~ hBOOL(c_in(C,D,E))
| hBOOL(hAPP(hAPP(A,B),C)) ),
inference(clausify,[status(thm)],[cls_lower__semilattice_Obelow__fold1__iff_0]) ).
fof(cls_dual__semilattice_0,axiom,
! [VAR_0] :
( c_Lattices_Olower__semilattice(c_COMBC(c_lessequals(VAR_0),VAR_0,VAR_0,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(VAR_0),VAR_0,VAR_0,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(VAR_0),VAR_0)
| ~ class_Lattices_Oupper__semilattice(VAR_0) ),
file('theBenchmark.p',cls_dual__semilattice_0) ).
cnf(c_130,plain,
( c_Lattices_Olower__semilattice(c_COMBC(c_lessequals(A),A,A,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(A),A,A,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(A),A)
| ~ class_Lattices_Oupper__semilattice(A) ),
inference(clausify,[status(thm)],[cls_dual__semilattice_0]) ).
cnf(c_317,plain,
( c_Lattices_Oupper__semilattice__class_Osup(tc_nat) = c_Orderings_Oord__class_Omax(tc_nat)
| ~ class_Lattices_Oupper__semilattice(tc_nat) ),
inference(resolve,[status(thm)],[c_1,c_110]) ).
cnf(c_318,plain,
( c_Orderings_Oord__class_Omax(tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(tc_nat)
| ~ class_Lattices_Oupper__semilattice(tc_nat) ),
inference(copy,[status(thm)],[c_317]) ).
cnf(c_332,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_nat),B),A))),
inference(resolve,[status(thm)],[c_1,c_92]) ).
cnf(c_388,plain,
c_Finite__Set_Olinorder__class_OMax(tc_nat) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(tc_nat),tc_nat),
inference(resolve,[status(thm)],[c_1,c_30]) ).
cnf(c_389,plain,
c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(tc_nat),tc_nat) = c_Finite__Set_Olinorder__class_OMax(tc_nat),
inference(copy,[status(thm)],[c_388]) ).
fof(cls_ATP__Linkup_OCOMBC__def_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] : hAPP(hAPP(c_COMBC(VAR_0,VAR_1,VAR_2,VAR_3),VAR_4),VAR_5) = hAPP(hAPP(VAR_0,VAR_5),VAR_4),
file('theBenchmark.p',cls_ATP__Linkup_OCOMBC__def_0) ).
cnf(c_431,plain,
hAPP(hAPP(c_COMBC(A,B,C,D),E),F) = hAPP(hAPP(A,F),E),
inference(clausify,[status(thm)],[cls_ATP__Linkup_OCOMBC__def_0]) ).
fof(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
cnf(c_441,plain,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
inference(clausify,[status(thm)],[clsarity_bool__Finite__Set_Ofinite_Ofinite]) ).
fof(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(c_456,plain,
class_Lattices_Oupper__semilattice(tc_nat),
inference(clausify,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice]) ).
fof(cls_finite_0,axiom,
! [VAR_0,VAR_1] :
( c_Finite__Set_Ofinite(VAR_1,VAR_0)
| ~ class_Finite__Set_Ofinite_Ofinite(VAR_0) ),
file('theBenchmark.p',cls_finite_0) ).
cnf(c_479,plain,
( c_Finite__Set_Ofinite(B,A)
| ~ class_Finite__Set_Ofinite_Ofinite(A) ),
inference(clausify,[status(thm)],[cls_finite_0]) ).
fof(cls_finite__imageI_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ c_Finite__Set_Ofinite(VAR_1,VAR_2)
| c_Finite__Set_Ofinite(c_Set_Oimage(VAR_0,VAR_1,VAR_2,VAR_3),VAR_3) ),
file('theBenchmark.p',cls_finite__imageI_0) ).
cnf(c_510,plain,
( ~ c_Finite__Set_Ofinite(B,C)
| c_Finite__Set_Ofinite(c_Set_Oimage(A,B,C,D),D) ),
inference(clausify,[status(thm)],[cls_finite__imageI_0]) ).
fof(cls_rangeI_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : hBOOL(c_in(hAPP(VAR_0,VAR_1),c_Set_Oimage(VAR_0,c_Orderings_Otop__class_Otop(tc_fun(VAR_2,tc_bool)),VAR_2,VAR_3),VAR_3)),
file('theBenchmark.p',cls_rangeI_0) ).
cnf(c_666,plain,
hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,D),D)),
inference(clausify,[status(thm)],[cls_rangeI_0]) ).
fof(cls_disjoint__iff__not__equal_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(VAR_2,tc_bool)),VAR_3),VAR_1) != c_Orderings_Obot__class_Obot(tc_fun(VAR_2,tc_bool))
| ~ hBOOL(c_in(VAR_0,VAR_3,VAR_2))
| ~ hBOOL(c_in(VAR_0,VAR_1,VAR_2)) ),
file('theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
cnf(c_921,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B) != c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))
| ~ hBOOL(c_in(A,D,C))
| ~ hBOOL(c_in(A,B,C)) ),
inference(clausify,[status(thm)],[cls_disjoint__iff__not__equal_0]) ).
fof(cls_not__less__eq__eq_1,axiom,
! [VAR_0,VAR_1] :
( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(VAR_1)),VAR_0))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),VAR_0),VAR_1)) ),
file('theBenchmark.p',cls_not__less__eq__eq_1) ).
cnf(c_957,plain,
( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(B)),A))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B)) ),
inference(clausify,[status(thm)],[cls_not__less__eq__eq_1]) ).
fof(cls_Int__absorb_0,axiom,
! [VAR_0,VAR_1] : hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(VAR_0,tc_bool)),VAR_1),VAR_1) = VAR_1,
file('theBenchmark.p',cls_Int__absorb_0) ).
cnf(c_1008,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B) = B,
inference(clausify,[status(thm)],[cls_Int__absorb_0]) ).
cnf(c_1131,plain,
( ~ c_Finite__Set_Ofinite(D,A)
| D = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_COMBC(c_lessequals(A),A,A,tc_bool),B),hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(A),A),D)))
| ~ hBOOL(c_in(C,D,A))
| hBOOL(hAPP(hAPP(c_COMBC(c_lessequals(A),A,A,tc_bool),B),C))
| ~ class_Lattices_Oupper__semilattice(A) ),
inference(resolve,[status(thm)],[c_130,c_125]) ).
cnf(c_8792,plain,
( ~ c_Finite__Set_Ofinite(D,A)
| D = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_COMBC(c_lessequals(A),A,A,tc_bool),B),hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(A),A),D)))
| ~ hBOOL(c_in(C,D,A))
| hBOOL(hAPP(hAPP(c_lessequals(A),C),B))
| ~ class_Lattices_Oupper__semilattice(A) ),
inference(paramod,[status(thm)],[c_431,c_1131]) ).
cnf(c_8793,plain,
( ~ c_Finite__Set_Ofinite(D,A)
| D = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(A),A),D)),B))
| ~ hBOOL(c_in(C,D,A))
| hBOOL(hAPP(hAPP(c_lessequals(A),C),B))
| ~ class_Lattices_Oupper__semilattice(A) ),
inference(paramod,[status(thm)],[c_431,c_8792]) ).
cnf(c_1132,plain,
( ~ c_Finite__Set_Ofinite(D,A)
| c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = D
| ~ hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(A),A),D)),C))
| ~ hBOOL(c_in(B,D,A))
| hBOOL(hAPP(hAPP(c_lessequals(A),B),C))
| ~ class_Lattices_Oupper__semilattice(A) ),
inference(copy,[status(thm)],[c_8793]) ).
cnf(c_1206,plain,
c_Orderings_Oord__class_Omax(tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(tc_nat),
inference(resolve,[status(thm)],[c_456,c_318]) ).
cnf(c_8794,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),B) != c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))
| ~ hBOOL(c_in(A,B,C)) ),
inference(factor,[status(thm)],[c_921]) ).
cnf(c_8795,plain,
( B != c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))
| ~ hBOOL(c_in(A,B,C)) ),
inference(paramod,[status(thm)],[c_1008,c_8794]) ).
cnf(c_1219,plain,
( c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)) != B
| ~ hBOOL(c_in(A,B,C)) ),
inference(copy,[status(thm)],[c_8795]) ).
cnf(c_1279,plain,
c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat) = c_Finite__Set_Olinorder__class_OMax(tc_nat),
inference(paramod,[status(thm)],[c_1206,c_389]) ).
cnf(c_1291,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),A))),
inference(paramod,[status(thm)],[c_1206,c_332]) ).
cnf(c_1483,plain,
c_Finite__Set_Ofinite(A,tc_bool),
inference(resolve,[status(thm)],[c_479,c_441]) ).
cnf(c_8796,plain,
c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) != c_Set_Oimage(B,c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)),C,A),
inference(resolve,[status(thm)],[c_1219,c_666]) ).
cnf(c_6014,plain,
c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),B,C) != c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),
inference(copy,[status(thm)],[c_8796]) ).
cnf(c_7206,plain,
~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),c_Suc(B))),B)),
inference(resolve,[status(thm)],[c_1291,c_957]) ).
cnf(c_7583,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(A,B,tc_bool,C),C),
inference(resolve,[status(thm)],[c_1483,c_510]) ).
cnf(c_8797,plain,
( ~ c_Finite__Set_Ofinite(C,tc_nat)
| c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) = C
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat),C)),B))
| ~ hBOOL(c_in(A,C,tc_nat))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B)) ),
inference(resolve,[status(thm)],[c_1132,c_456]) ).
cnf(c_8798,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,tc_nat),tc_nat)
| c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) = c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,tc_nat)
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,tc_nat))),C))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(A,B)),C)) ),
inference(resolve,[status(thm)],[c_8797,c_666]) ).
cnf(c_8799,plain,
( ~ c_Finite__Set_Ofinite(c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,tc_nat),tc_nat)
| c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) = c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,tc_nat)
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(A,B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),C),hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,tc_nat))))) ),
inference(resolve,[status(thm)],[c_8798,c_1291]) ).
cnf(c_8800,plain,
( c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) = c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,tc_nat)
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(A,B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),C),hAPP(c_Finite__Set_Ofold1(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,tc_nat))))) ),
inference(resolve,[status(thm)],[c_8799,c_7583]) ).
cnf(c_8801,plain,
( c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) = c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,tc_nat)
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(A,B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),C),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,tc_nat))))) ),
inference(paramod,[status(thm)],[c_1279,c_8800]) ).
cnf(c_8802,plain,
( c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(A,B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),C),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,tc_nat))))) ),
inference(copy,[status(thm)],[c_8801]) ).
cnf(c_8790,plain,
hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(A,B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),C),hAPP(c_Finite__Set_Olinorder__class_OMax(tc_nat),c_Set_Oimage(A,c_Orderings_Otop__class_Otop(tc_fun(tc_bool,tc_bool)),tc_bool,tc_nat))))),
inference(resolve,[status(thm)],[c_6014,c_8802]) ).
cnf(c_8791,plain,
$false,
inference(resolve,[status(thm)],[c_8790,c_7206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV843-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n003.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 15:04:56 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.42 % Process 3154384 was started by sandbox2 on n003,
% 0.14/0.42 % Sat Sep 26 15:04:56 2026
% 0.14/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.48
% 0.14/0.48 % From the command line: assign(max_seconds, 300).
% 47.99/7.44
% 47.99/7.44 % given #500 (I,wt=83): 961 hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C) = hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B) # tptp_name(cls_diff__commute_0) # clausal_fof(1). [assumption].
% 47.99/7.44
% 47.99/7.44 % SZS status Unsatisfiable for theBenchmark
% 47.99/7.44
% 47.99/7.44 % Proof 1 at 6.01 (+ 0.84) seconds.
% 47.99/7.44 % Length of proof is 32.
% 47.99/7.44 % Level of proof is 6.
% 47.99/7.44 % Maximum clause weight is 84.000.
% 47.99/7.44 % Given clauses 814.
% 47.99/7.44
% 47.99/7.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------