%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT096-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Thu Sep 24 02:07:42 PM UTC 2026
% Result : Unsatisfiable 195.33s 28.95s
% Output : CNFRefutation 195.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of clauses : 84 ( 36 unt; 24 nHn; 29 RR)
% Number of literals : 142 ( 36 equ; 48 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-5 aty)
% Number of variables : 316 ( 135 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_insert__code_2,axiom,
( ~ hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_ComplI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_0) ).
cnf(cls_insert__code_0,axiom,
( ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X3 = X2
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_Int__insert__left_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
cnf(cls_double__complement_0,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).
cnf(cls_Compl__disjoint_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Compl__disjoint_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_COMBS__def_0,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBS__def_0) ).
cnf(cls_insert__absorb_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_plus__nat_Oadd__0_0,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_insertE_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
cnf(c_0_18,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_19,plain,
( ~ hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(fof_simplification,[status(thm)],[cls_insert__code_2]) ).
cnf(c_0_20,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1))
| hBOOL(hAPP(X1,X2)) ),
c_0_18 ).
cnf(c_0_21,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
cls_ComplI_0 ).
cnf(c_0_22,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X3 = X2
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_insert__code_0]) ).
cnf(c_0_23,plain,
( ~ hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
c_0_19 ).
cnf(c_0_24,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
cls_insert__commute_0 ).
cnf(c_0_25,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[cls_Int__insert__left_0]) ).
cnf(c_0_26,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(fof_simplification,[status(thm)],[cls_insert__not__empty_0]) ).
cnf(c_0_27,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X3),X2))
| hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
cls_double__complement_0 ).
cnf(c_0_29,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| X3 = X2
| hBOOL(hAPP(X1,X2)) ),
c_0_22 ).
cnf(c_0_30,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X3,X4),X5))
| hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),X5)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Compl__disjoint_0 ).
cnf(c_0_32,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
c_0_25 ).
cnf(c_0_33,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
c_0_26 ).
cnf(c_0_34,plain,
( ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_35,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(fof_simplification,[status(thm)],[cls_bot1E_0]) ).
cnf(c_0_36,plain,
( hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
cls_COMBS__def_0 ).
cnf(c_0_38,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X4,X5),X1))
| hBOOL(hAPP(c_Set_Oinsert(X3,X4,X5),X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_40,plain,
( ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
c_0_34 ).
cnf(c_0_41,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).
cnf(c_0_42,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_35 ).
cnf(c_0_43,plain,
( hBOOL(hAPP(X5,X5))
| hBOOL(hAPP(c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2,X3,X4),X5)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) = X1,
cls_plus__nat_Oadd__0_0 ).
cnf(c_0_45,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X5,X6),X1))
| hBOOL(hAPP(c_Set_Oinsert(X3,c_Set_Oinsert(X4,X5,X6),X6),X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_46,plain,
~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X2)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X2))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
c_0_41 ).
cnf(c_0_48,plain,
( ~ hBOOL(hAPP(c_COMBS(c_in(X3),X1,X4,X5,X6),X2))
| hBOOL(hAPP(hAPP(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_37]) ).
cnf(c_0_49,plain,
hBOOL(hAPP(c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2,X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)))),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0 ).
cnf(c_0_51,plain,
hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),X5) = hAPP(X5,hAPP(X1,X5)),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_52,plain,
( ~ hBOOL(hAPP(X5,X1))
| hBOOL(hAPP(c_Set_Oinsert(X3,c_Set_Oinsert(X4,X5,X6),X6),X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_53,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_54,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X2))
| ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,plain,
hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
hBOOL(hAPP(hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),c_fequal(X5)),hAPP(X1,c_fequal(X5)))),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,c_Set_Oinsert(X4,c_Set_Oinsert(X1,X5,X6),X7),X7),X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__absorb2_0 ).
cnf(c_0_59,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(fof_simplification,[status(thm)],[cls_insertE_0]) ).
cnf(c_0_60,plain,
~ hBOOL(hAPP(hAPP(c_in(X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,plain,
hAPP(c_COMBS(X1,hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X2,X3,X4),X5) = hAPP(hAPP(X1,X5),X5),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_62,plain,
hBOOL(hAPP(c_COMBS(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),X1,X5,X6,X7),c_fequal(X8))),
inference(spm,[status(thm)],[c_0_56,c_0_37]) ).
cnf(c_0_63,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,c_Set_Oinsert(X1,X4,X5),X6),X1))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X4,X3,X1)))
| X2 = X4
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
c_0_59 ).
cnf(c_0_65,plain,
~ hBOOL(hAPP(c_COMBS(c_in(X1),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X2,X3,X4),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)))),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( hBOOL(X2)
| hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X5),X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X4,X3),X1))
| hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_64,c_0_40]) ).
cnf(c_0_68,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X5),X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_63]),c_0_66]) ).
cnf(c_0_69,plain,
( hBOOL(hAPP(hAPP(c_in(X3),X1),c_Set_Oinsert(X1,X4,X5)))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_70,plain,
( hBOOL(X2)
| hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X4))) ),
inference(spm,[status(thm)],[c_0_62,c_0_69]) ).
cnf(c_0_71,plain,
hBOOL(hAPP(hAPP(c_in(X1),X2),c_Set_Oinsert(X2,X3,X4))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_69]),c_0_70]) ).
cnf(c_0_72,plain,
( ~ hBOOL(hAPP(hAPP(c_in(X4),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
inference(spm,[status(thm)],[c_0_71,c_0_47]) ).
cnf(c_0_73,plain,
( hBOOL(hAPP(X4,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X4))) ),
inference(spm,[status(thm)],[c_0_72,c_0_36]) ).
cnf(c_0_74,plain,
( ~ hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
inference(spm,[status(thm)],[c_0_54,c_0_28]) ).
cnf(c_0_75,plain,
( hBOOL(hAPP(hAPP(c_in(X4),X3),X2))
| hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3)) ),
inference(spm,[status(thm)],[c_0_73,c_0_28]) ).
cnf(c_0_76,plain,
( ~ hBOOL(hAPP(X3,X4))
| hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3)),X4)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_77,plain,
( ~ hBOOL(hAPP(hAPP(X2,X6),X6))
| hBOOL(hAPP(c_COMBS(c_in(X1),X2,X3,X4,X5),X6)) ),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_78,plain,
( hBOOL(hAPP(X2,X3))
| hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_79,plain,
( ~ hBOOL(hAPP(X4,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X4))) ),
inference(spm,[status(thm)],[c_0_54,c_0_76]) ).
cnf(c_0_80,plain,
( hBOOL(hAPP(X6,X6))
| hBOOL(hAPP(c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3,X4,X5),X6)) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,plain,
( ~ hBOOL(hAPP(X6,X6))
| ~ hBOOL(hAPP(c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3,X4,X5),X6)) ),
inference(spm,[status(thm)],[c_0_79,c_0_37]) ).
cnf(c_0_82,plain,
hBOOL(hAPP(c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3,X4,X5),c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3,X4,X5))),
inference(ef,[status(thm)],[c_0_80]) ).
cnf(c_0_83,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT096-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.34 % Computer : n003.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:32:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 195.33/28.95 % Version: 3.5.1
% 195.33/28.95 % Preprocessing class: FSLMSMSMSSSNFFN.
% 195.33/28.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.33/28.95 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 195.33/28.95 % Starting new_bool_3 with 600s (2) cores
% 195.33/28.95 % Starting new_bool_1 with 300s (1) cores
% 195.33/28.95 % Starting sh5l with 300s (1) cores
% 195.33/28.95 % new_bool_3 with pid 3407750 completed with status 0
% 195.33/28.95 % Result found by new_bool_3
% 195.33/28.95 % Preprocessing class: FSLMSMSMSSSNFFN.
% 195.33/28.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.33/28.95 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 195.33/28.95 % Starting new_bool_3 with 600s (2) cores
% 195.33/28.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 195.33/28.95 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 195.33/28.95 % Search class: FGHSM-FSLM32-DFFFFFNN
% 195.33/28.95 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 195.33/28.95 % Starting SubtermCWHack with 55s (1) cores
% 195.33/28.95 % Starting new_bool_3 with 61s (1) cores
% 195.33/28.95 % SubtermCWHack with pid 3407753 completed with status 0
% 195.33/28.95 % Result found by SubtermCWHack
% 195.33/28.95 % Preprocessing class: FSLMSMSMSSSNFFN.
% 195.33/28.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 195.33/28.95 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 195.33/28.95 % Starting new_bool_3 with 600s (2) cores
% 195.33/28.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 195.33/28.95 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 195.33/28.95 % Search class: FGHSM-FSLM32-DFFFFFNN
% 195.33/28.95 % Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 195.33/28.95 % Starting SubtermCWHack with 55s (1) cores
% 195.33/28.95 % Preprocessing time : 0.006 s
% 195.33/28.95
% 195.33/28.95 % Proof found!
% 195.33/28.95 % SZS status Unsatisfiable
% 195.33/28.95 % SZS output start CNFRefutation
% See solution above
% 195.33/28.95 % Parsed axioms : 820
% 195.33/28.95 % Removed by relevancy pruning/SinE : 524
% 195.33/28.95 % Initial clauses : 296
% 195.33/28.95 % Removed in clause preprocessing : 0
% 195.33/28.95 % Initial clauses in saturation : 296
% 195.33/28.95 % Processed clauses : 30481
% 195.33/28.95 % ...of these trivial : 481
% 195.33/28.95 % ...subsumed : 26474
% 195.33/28.95 % ...remaining for further processing : 3526
% 195.33/28.95 % Other redundant clauses eliminated : 4486
% 195.33/28.95 % Clauses deleted for lack of memory : 0
% 195.33/28.95 % Backward-subsumed : 573
% 195.33/28.95 % Backward-rewritten : 96
% 195.33/28.95 % Generated clauses : 880948
% 195.33/28.95 % ...of the previous two non-redundant : 812393
% 195.33/28.95 % ...aggressively subsumed : 0
% 195.33/28.95 % Contextual simplify-reflections : 23
% 195.33/28.95 % Paramodulations : 875999
% 195.33/28.95 % Factorizations : 440
% 195.33/28.95 % NegExts : 0
% 195.33/28.95 % Equation resolutions : 4509
% 195.33/28.95 % Disequality decompositions : 0
% 195.33/28.95 % Total rewrite steps : 242716
% 195.33/28.95 % ...of those cached : 225473
% 195.33/28.95 % Propositional unsat checks : 0
% 195.33/28.95 % Propositional check models : 0
% 195.33/28.95 % Propositional check unsatisfiable : 0
% 195.33/28.95 % Propositional clauses : 0
% 195.33/28.95 % Propositional clauses after purity: 0
% 195.33/28.95 % Propositional unsat core size : 0
% 195.33/28.95 % Propositional preprocessing time : 0.000
% 195.33/28.95 % Propositional encoding time : 0.000
% 195.33/28.95 % Propositional solver time : 0.000
% 195.33/28.95 % Success case prop preproc time : 0.000
% 195.33/28.95 % Success case prop encoding time : 0.000
% 195.33/28.95 % Success case prop solver time : 0.000
% 195.33/28.95 % Current number of processed clauses : 2857
% 195.33/28.95 % Positive orientable unit clauses : 262
% 195.33/28.95 % Positive unorientable unit clauses: 57
% 195.33/28.95 % Negative unit clauses : 113
% 195.33/28.95 % Non-unit-clauses : 2425
% 195.33/28.95 % Current number of unprocessed clauses: 772938
% 195.33/28.95 % ...number of literals in the above : 2788504
% 195.33/28.95 % Current number of archived formulas : 0
% 195.33/28.95 % Current number of archived clauses : 669
% 195.33/28.95 % Clause-clause subsumption calls (NU) : 1207036
% 195.33/28.95 % Rec. Clause-clause subsumption calls : 528676
% 195.33/28.95 % Non-unit clause-clause subsumptions : 24532
% 195.33/28.95 % Unit Clause-clause subsumption calls : 13355
% 195.33/28.95 % Rewrite failures with RHS unbound : 3688
% 195.33/28.95 % BW rewrite match attempts : 11601
% 195.33/28.95 % BW rewrite match successes : 402
% 195.33/28.95 % Condensation attempts : 0
% 195.33/28.95 % Condensation successes : 0
% 195.33/28.95 % Termbank termtop insertions : 22634630
% 195.33/28.95 % Search garbage collected termcells : 3015
% 195.33/28.95
% 195.33/28.95 % -------------------------------------------------
% 195.33/28.95 % User time : 27.130 s
% 195.33/28.95 % System time : 0.854 s
% 195.33/28.95 % Total time : 27.983 s
% 195.33/28.95 % Maximum resident set size: 4860 pages
% 195.33/28.95
% 195.33/28.95 % -------------------------------------------------
% 195.33/28.95 % User time : 54.458 s
% 195.33/28.95 % System time : 1.683 s
% 195.33/28.95 % Total time : 56.140 s
% 195.33/28.95 % Maximum resident set size: 5632 pages
% 195.33/28.95 % E exiting
%------------------------------------------------------------------------------