%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA044-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:02:52 PM UTC 2026
% Result : Unsatisfiable 9.12s 1.82s
% Output : CNFRefutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of clauses : 82 ( 55 unt; 3 nHn; 59 RR)
% Number of literals : 130 ( 44 equ; 55 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-3 aty)
% Number of variables : 103 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_List_Onibble_Osize__10_0,axiom,
c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Onibble_Osize__10_0) ).
cnf(cls_Datatype_Ounit_Osize_0,axiom,
c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Ounit_Osize_0) ).
cnf(cls_NatBin_Onat__numeral__0__eq__0_0,axiom,
c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_NatBin_Onat__numeral__0__eq__0_0) ).
cnf(cls_Set_Oinsert__iff_0,axiom,
( ~ c_in(X1,c_insert(X2,X3,X4),X4)
| X1 = X2
| c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oinsert__iff_0) ).
cnf(cls_SetInterval_OatMost__0_0,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatMost__0_0) ).
cnf(cls_Set_Oempty__iff_0,axiom,
~ c_in(X1,c_emptyset,X2),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_Oempty__iff_0) ).
cnf(cls_SetInterval_OatMost__iff_1,axiom,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oord(X1)
| c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatMost__iff_1) ).
cnf(clsarity_nat_2,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_2) ).
cnf(cls_List_Odrop__eq__Nil_0,axiom,
( c_List_Odrop(X1,X2,X3) != c_List_Olist_ONil
| c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__eq__Nil_0) ).
cnf(cls_List_Odrop__0_0,axiom,
c_List_Odrop(c_0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Odrop__0_0) ).
cnf(cls_SetInterval_OlessThan__0_0,axiom,
c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OlessThan__0_0) ).
cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
( ~ c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonneg_0) ).
cnf(cls_SetInterval_Ocard__lessThan_0,axiom,
c_Finite__Set_Ocard(c_SetInterval_OlessThan(X1,tc_nat),tc_nat) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__lessThan_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(cls_Finite__Set_Ocard__empty_0,axiom,
c_Finite__Set_Ocard(c_emptyset,X1) = c_0,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Finite__Set_Ocard__empty_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_0,v_h(X1),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_0,v_l(X1,X2),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_21,axiom,
c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_0,
cls_List_Onibble_Osize__10_0 ).
cnf(c_0_22,axiom,
c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_0,
cls_Datatype_Ounit_Osize_0 ).
cnf(c_0_23,axiom,
c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_0,
cls_NatBin_Onat__numeral__0__eq__0_0 ).
cnf(c_0_24,plain,
c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( ~ c_in(X1,c_insert(X2,X3,X4),X4)
| X1 = X2
| c_in(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[cls_Set_Oinsert__iff_0]) ).
cnf(c_0_26,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
cls_SetInterval_OatMost__0_0 ).
cnf(c_0_27,plain,
c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_22]),c_0_24]) ).
cnf(c_0_28,plain,
~ c_in(X1,c_emptyset,X2),
inference(fof_simplification,[status(thm)],[cls_Set_Oempty__iff_0]) ).
cnf(c_0_29,plain,
( ~ c_in(X1,c_insert(X2,X3,X4),X4)
| X1 = X2
| c_in(X1,X3,X4) ),
c_0_25 ).
cnf(c_0_30,plain,
c_insert(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),c_emptyset,tc_nat) = c_SetInterval_OatMost(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_22]),c_0_24]),c_0_27]),c_0_22]),c_0_24]),c_0_27]) ).
cnf(c_0_31,plain,
~ c_in(X1,c_emptyset,X2),
c_0_28 ).
cnf(c_0_32,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oord(X1)
| c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_SetInterval_OatMost__iff_1]) ).
cnf(c_0_33,plain,
( ~ c_in(X1,c_SetInterval_OatMost(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),tc_nat),tc_nat)
| X1 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_34,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oord(X1)
| c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
c_0_32 ).
cnf(c_0_35,axiom,
class_Orderings_Oord(tc_nat),
clsarity_nat_2 ).
cnf(c_0_36,plain,
( c_List_Odrop(X1,X2,X3) != c_List_Olist_ONil
| c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
inference(fof_simplification,[status(thm)],[cls_List_Odrop__eq__Nil_0]) ).
cnf(c_0_37,axiom,
c_List_Odrop(c_0,X1,X2) = X1,
cls_List_Odrop__0_0 ).
cnf(c_0_38,axiom,
c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset,
cls_SetInterval_OlessThan__0_0 ).
cnf(c_0_39,plain,
( ~ c_lessequals(X1,c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),tc_nat)
| X1 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_40,plain,
( c_List_Odrop(X1,X2,X3) != c_List_Olist_ONil
| c_lessequals(c_Nat_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
c_0_36 ).
cnf(c_0_41,plain,
c_List_Odrop(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),X1,X2) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_22]),c_0_24]),c_0_27]) ).
cnf(c_0_42,plain,
c_SetInterval_OlessThan(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),tc_nat) = c_emptyset,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_22]),c_0_24]),c_0_27]) ).
cnf(c_0_43,plain,
c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_44,plain,
( ~ c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = X2 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__of__nonneg_0]) ).
cnf(c_0_45,axiom,
c_Finite__Set_Ocard(c_SetInterval_OlessThan(X1,tc_nat),tc_nat) = X1,
cls_SetInterval_Ocard__lessThan_0 ).
cnf(c_0_46,plain,
c_SetInterval_OlessThan(c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),tc_nat) = c_emptyset,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
( ~ c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = X2 ),
c_0_44 ).
cnf(c_0_48,plain,
c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) = c_Finite__Set_Ocard(c_emptyset,tc_nat),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).
cnf(c_0_50,axiom,
c_Finite__Set_Ocard(c_emptyset,X1) = c_0,
cls_Finite__Set_Ocard__empty_0 ).
cnf(c_0_51,negated_conjecture,
c_lessequals(c_0,v_h(X1),t_b),
cls_conjecture_1 ).
cnf(c_0_52,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_53,plain,
( ~ c_lessequals(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_HOL_Oabs(X1,X2) = X1 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_22]),c_0_24]),c_0_27]) ).
cnf(c_0_54,plain,
c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) = c_Finite__Set_Ocard(c_emptyset,tc_nat),
inference(rw,[status(thm)],[c_0_43,c_0_48]) ).
cnf(c_0_55,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_49 ).
cnf(c_0_56,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_57,plain,
c_Finite__Set_Ocard(c_emptyset,X1) = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_22]),c_0_24]),c_0_27]) ).
cnf(c_0_58,plain,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0]) ).
cnf(c_0_59,negated_conjecture,
c_lessequals(c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),v_h(X1),t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_22]),c_0_24]) ).
cnf(c_0_60,negated_conjecture,
c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
c_0_52 ).
cnf(c_0_61,plain,
( ~ c_lessequals(c_Finite__Set_Ocard(c_emptyset,tc_nat),X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_HOL_Oabs(X1,X2) = X1 ),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,plain,
c_Finite__Set_Ocard(c_emptyset,X1) = c_Finite__Set_Ocard(c_emptyset,tc_nat),
inference(rw,[status(thm)],[c_0_57,c_0_54]) ).
cnf(c_0_64,plain,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
c_0_58 ).
cnf(c_0_65,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_40]) ).
cnf(c_0_66,negated_conjecture,
c_lessequals(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),v_h(X1),t_b),
inference(rw,[status(thm)],[c_0_59,c_0_27]) ).
cnf(c_0_67,negated_conjecture,
~ c_lessequals(c_Finite__Set_Ocard(c_emptyset,tc_nat),c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_68,plain,
c_Finite__Set_Ocard(c_emptyset,X1) = c_Finite__Set_Ocard(c_emptyset,X2),
inference(spm,[status(thm)],[c_0_63,c_0_63]) ).
cnf(c_0_69,plain,
( ~ c_lessequals(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),X2,X3)
| ~ c_lessequals(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),X1,X3)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
| c_lessequals(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),c_times(X1,X2,X3),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_22]),c_0_24]),c_0_27]),c_0_22]),c_0_24]),c_0_27]),c_0_22]),c_0_24]),c_0_27]) ).
cnf(c_0_70,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_65 ).
cnf(c_0_71,negated_conjecture,
c_lessequals(c_Finite__Set_Ocard(c_emptyset,tc_nat),v_h(X1),t_b),
inference(rw,[status(thm)],[c_0_66,c_0_54]) ).
cnf(c_0_72,negated_conjecture,
~ c_lessequals(c_Finite__Set_Ocard(c_emptyset,X1),c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
( ~ c_lessequals(c_Finite__Set_Ocard(c_emptyset,tc_nat),X2,X3)
| ~ c_lessequals(c_Finite__Set_Ocard(c_emptyset,tc_nat),X1,X3)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
| c_lessequals(c_Finite__Set_Ocard(c_emptyset,tc_nat),c_times(X1,X2,X3),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_54]),c_0_54]),c_0_54]) ).
cnf(c_0_74,negated_conjecture,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(spm,[status(thm)],[c_0_70,c_0_56]) ).
cnf(c_0_75,negated_conjecture,
c_lessequals(c_Finite__Set_Ocard(c_emptyset,X1),v_h(X2),t_b),
inference(spm,[status(thm)],[c_0_71,c_0_63]) ).
cnf(c_0_76,negated_conjecture,
c_lessequals(c_0,v_l(X1,X2),t_b),
cls_conjecture_0 ).
cnf(c_0_77,negated_conjecture,
~ c_lessequals(c_Finite__Set_Ocard(c_emptyset,tc_nat),v_l(v_x,v_xa),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_78,negated_conjecture,
c_lessequals(c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),v_l(X1,X2),t_b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_22]),c_0_24]),c_0_27]) ).
cnf(c_0_79,negated_conjecture,
~ c_lessequals(c_Finite__Set_Ocard(c_emptyset,X1),v_l(v_x,v_xa),t_b),
inference(spm,[status(thm)],[c_0_77,c_0_68]) ).
cnf(c_0_80,negated_conjecture,
c_lessequals(c_Finite__Set_Ocard(c_emptyset,tc_nat),v_l(X1,X2),t_b),
inference(rw,[status(thm)],[c_0_78,c_0_54]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_79,c_0_80]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA044-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.34 % Computer : n010.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
% 0.09/0.34 % DateTime : Mon Sep 21 13:26:40 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
% 9.12/1.82 % Version: 3.5.1
% 9.12/1.82 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.12/1.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/1.82 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.12/1.82 % Starting new_bool_3 with 300s (1) cores
% 9.12/1.82 % Starting new_bool_1 with 300s (1) cores
% 9.12/1.82 % Starting sh5l with 300s (1) cores
% 9.12/1.82 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 965548 completed with status 0
% 9.12/1.82 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.12/1.82 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.12/1.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/1.82 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.12/1.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.12/1.82 % No SInE strategy applied
% 9.12/1.82 % Search class: FGHSM-SMLM32-DFFFFFNN
% 9.12/1.82 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 9.12/1.82 % Starting SubtermCWHack with 136s (1) cores
% 9.12/1.82 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.12/1.82 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 9.12/1.82 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 9.12/1.82 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 9.12/1.82 % G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 965559 completed with status 0
% 9.12/1.82 % Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.12/1.82 % Preprocessing class: FMLMSMSMSSSNFFN.
% 9.12/1.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/1.82 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.12/1.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.12/1.82 % No SInE strategy applied
% 9.12/1.82 % Search class: FGHSM-SMLM32-DFFFFFNN
% 9.12/1.82 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 9.12/1.82 % Starting SubtermCWHack with 136s (1) cores
% 9.12/1.82 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.12/1.82 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 9.12/1.82 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 9.12/1.82 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 9.12/1.82 % Preprocessing time : 0.031 s
% 9.12/1.82 % Presaturation interreduction done
% 9.12/1.82
% 9.12/1.82 % Proof found!
% 9.12/1.82 % SZS status Unsatisfiable
% 9.12/1.82 % SZS output start CNFRefutation
% See solution above
% 9.12/1.82 % Parsed axioms : 2788
% 9.12/1.82 % Removed by relevancy pruning/SinE : 0
% 9.12/1.82 % Initial clauses : 2788
% 9.12/1.82 % Removed in clause preprocessing : 9
% 9.12/1.82 % Initial clauses in saturation : 2779
% 9.12/1.82 % Processed clauses : 10385
% 9.12/1.82 % ...of these trivial : 69
% 9.12/1.82 % ...subsumed : 4438
% 9.12/1.82 % ...remaining for further processing : 5878
% 9.12/1.82 % Other redundant clauses eliminated : 125
% 9.12/1.82 % Clauses deleted for lack of memory : 0
% 9.12/1.82 % Backward-subsumed : 114
% 9.12/1.82 % Backward-rewritten : 310
% 9.12/1.82 % Generated clauses : 16357
% 9.12/1.82 % ...of the previous two non-redundant : 13288
% 9.12/1.82 % ...aggressively subsumed : 0
% 9.12/1.82 % Contextual simplify-reflections : 12
% 9.12/1.82 % Paramodulations : 16191
% 9.12/1.82 % Factorizations : 0
% 9.12/1.82 % NegExts : 0
% 9.12/1.82 % Equation resolutions : 166
% 9.12/1.82 % Disequality decompositions : 0
% 9.12/1.82 % Total rewrite steps : 10342
% 9.12/1.82 % ...of those cached : 9030
% 9.12/1.82 % Propositional unsat checks : 1
% 9.12/1.82 % Propositional check models : 1
% 9.12/1.82 % Propositional check unsatisfiable : 0
% 9.12/1.82 % Propositional clauses : 0
% 9.12/1.82 % Propositional clauses after purity: 0
% 9.12/1.82 % Propositional unsat core size : 0
% 9.12/1.82 % Propositional preprocessing time : 0.000
% 9.12/1.82 % Propositional encoding time : 0.012
% 9.12/1.82 % Propositional solver time : 0.015
% 9.12/1.82 % Success case prop preproc time : 0.000
% 9.12/1.82 % Success case prop encoding time : 0.000
% 9.12/1.82 % Success case prop solver time : 0.000
% 9.12/1.82 % Current number of processed clauses : 2802
% 9.12/1.82 % Positive orientable unit clauses : 728
% 9.12/1.82 % Positive unorientable unit clauses: 16
% 9.12/1.82 % Negative unit clauses : 296
% 9.12/1.82 % Non-unit-clauses : 1762
% 9.12/1.82 % Current number of unprocessed clauses: 8025
% 9.12/1.82 % ...number of literals in the above : 17454
% 9.12/1.82 % Current number of archived formulas : 0
% 9.12/1.82 % Current number of archived clauses : 3084
% 9.12/1.82 % Clause-clause subsumption calls (NU) : 3221898
% 9.12/1.82 % Rec. Clause-clause subsumption calls : 2369492
% 9.12/1.82 % Non-unit clause-clause subsumptions : 2923
% 9.12/1.82 % Unit Clause-clause subsumption calls : 134352
% 9.12/1.82 % Rewrite failures with RHS unbound : 0
% 9.12/1.82 % BW rewrite match attempts : 1478
% 9.12/1.82 % BW rewrite match successes : 139
% 9.12/1.82 % Condensation attempts : 0
% 9.12/1.82 % Condensation successes : 0
% 9.12/1.82 % Termbank termtop insertions : 321054
% 9.12/1.82 % Search garbage collected termcells : 4070
% 9.12/1.82
% 9.12/1.82 % -------------------------------------------------
% 9.12/1.82 % User time : 1.283 s
% 9.12/1.82 % System time : 0.032 s
% 9.12/1.82 % Total time : 1.315 s
% 9.12/1.82 % Maximum resident set size: 8504 pages
% 9.12/1.82
% 9.12/1.82 % -------------------------------------------------
% 9.12/1.82 % User time : 6.168 s
% 9.12/1.82 % System time : 0.190 s
% 9.12/1.82 % Total time : 6.359 s
% 9.12/1.82 % Maximum resident set size: 6400 pages
% 9.12/1.82 % E exiting
%------------------------------------------------------------------------------