TSTP Solution File: SET860-2 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET860-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n018.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 : 600s
% DateTime : Tue Jul 19 02:18:06 EDT 2022
% Result : Unsatisfiable 1.89s 2.07s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_Set_OinsertCI_1,axiom,
c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
input ).
fof(cls_Set_OinsertCI_1_0,plain,
! [T_a,V_B,V_x] :
( c_in(V_x,c_insert(V_x,V_B,T_a),T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Set_OinsertCI_1]) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(V_a,c_emptyset,T_a),
input ).
fof(cls_Set_OemptyE_0_0,plain,
! [T_a,V_a] :
( ~ c_in(V_a,c_emptyset,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Set_OemptyE_0]) ).
cnf(cls_Set_OUNIV__I_0,axiom,
c_in(V_x,c_UNIV,T_a),
input ).
fof(cls_Set_OUNIV__I_0_0,plain,
! [T_a,V_x] :
( c_in(V_x,c_UNIV,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_Set_OUNIV__I_0]) ).
fof(def_lhs_atom1,axiom,
! [V_x,T_a] :
( lhs_atom1(V_x,T_a)
<=> c_in(V_x,c_UNIV,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [T_a,V_x] :
( lhs_atom1(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OUNIV__I_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V_a,T_a] :
( lhs_atom2(V_a,T_a)
<=> ~ c_in(V_a,c_emptyset,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [T_a,V_a] :
( lhs_atom2(V_a,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OemptyE_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [V_x,V_B,T_a] :
( lhs_atom3(V_x,V_B,T_a)
<=> c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [T_a,V_B,V_x] :
( lhs_atom3(V_x,V_B,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_Set_OinsertCI_1_0,def_lhs_atom3]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X4,X2] :
( lhs_atom3(X1,X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_1,axiom,
! [X3,X2] :
( lhs_atom2(X3,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_3,plain,
! [X1,X4,X2] : lhs_atom3(X1,X4,X2),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_4,plain,
! [X3,X2] : lhs_atom2(X3,X2),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_5,plain,
! [X1,X2] : lhs_atom1(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_6,plain,
! [X5,X6,X7] : lhs_atom3(X5,X6,X7),
inference(variable_rename,[status(thm)],[c_0_3]) ).
fof(c_0_7,plain,
! [X4,X5] : lhs_atom2(X4,X5),
inference(variable_rename,[status(thm)],[c_0_4]) ).
fof(c_0_8,plain,
! [X3,X4] : lhs_atom1(X3,X4),
inference(variable_rename,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
lhs_atom3(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
lhs_atom2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
lhs_atom1(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
lhs_atom3(X1,X2,X3),
c_0_9,
[final] ).
cnf(c_0_13,plain,
lhs_atom2(X1,X2),
c_0_10,
[final] ).
cnf(c_0_14,plain,
lhs_atom1(X1,X2),
c_0_11,
[final] ).
% End CNF derivation
cnf(c_0_12_0,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(unfold_definition,[status(thm)],[c_0_12,def_lhs_atom3]) ).
cnf(c_0_13_0,axiom,
~ c_in(X1,c_emptyset,X2),
inference(unfold_definition,[status(thm)],[c_0_13,def_lhs_atom2]) ).
cnf(c_0_14_0,axiom,
c_in(X1,c_UNIV,X2),
inference(unfold_definition,[status(thm)],[c_0_14,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X4,X1,X2,X3] :
( ~ c_in(X4,c_union(X2,X1,X3),X3)
| c_in(X4,X1,X3)
| c_in(X4,X2,X3) ),
file('<stdin>',cls_Set_OUnE_0) ).
fof(c_0_1_002,axiom,
! [X4,X1,X2,X3] :
( ~ c_in(X4,X1,X3)
| ~ c_in(X4,X2,X3)
| c_in(X4,c_inter(X2,X1,X3),X3) ),
file('<stdin>',cls_Set_OIntI_0) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3] :
( ~ c_in(c_Main_OsubsetI__1(X2,X1,X3),X1,X3)
| c_lessequals(X2,X1,tc_set(X3)) ),
file('<stdin>',cls_Set_OsubsetI_1) ).
fof(c_0_3_004,axiom,
! [X5,X6,X2,X3] :
( ~ c_in(X6,c_insert(X5,X2,X3),X3)
| c_in(X6,X2,X3)
| X6 = X5 ),
file('<stdin>',cls_Set_OinsertE_0) ).
fof(c_0_4_005,axiom,
! [X4,X1,X2,X3] :
( ~ c_in(X4,c_inter(X2,X1,X3),X3)
| c_in(X4,X1,X3) ),
file('<stdin>',cls_Set_OIntE_0) ).
fof(c_0_5_006,axiom,
! [X4,X1,X2,X3] :
( ~ c_in(X4,c_inter(X2,X1,X3),X3)
| c_in(X4,X2,X3) ),
file('<stdin>',cls_Set_OIntE_1) ).
fof(c_0_6_007,axiom,
! [X8,X2,X3] :
( ~ c_in(X2,c_Union(X8,X3),X3)
| c_in(c_Main_OUnionE__1(X2,X8,X3),X8,tc_set(X3)) ),
file('<stdin>',cls_Set_OUnionE_0) ).
fof(c_0_7_008,axiom,
! [X8,X2,X3] :
( ~ c_in(X2,c_Union(X8,X3),X3)
| c_in(X2,c_Main_OUnionE__1(X2,X8,X3),X3) ),
file('<stdin>',cls_Set_OUnionE_1) ).
fof(c_0_8_009,axiom,
! [X1,X2,X3] :
( ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3)) ),
file('<stdin>',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(c_0_9_010,axiom,
! [X7,X8,X2,X3] :
( ~ c_in(X2,X7,X3)
| ~ c_in(X7,X8,tc_set(X3))
| c_in(X2,c_Union(X8,X3),X3) ),
file('<stdin>',cls_Set_OUnionI_0) ).
fof(c_0_10_011,axiom,
! [X4,X1,X2,X3] :
( ~ c_in(X4,X1,X3)
| c_in(X4,c_union(X2,X1,X3),X3) ),
file('<stdin>',cls_Set_OUnCI_0) ).
fof(c_0_11_012,axiom,
! [X5,X6,X1,X3] :
( ~ c_in(X6,X1,X3)
| c_in(X6,c_insert(X5,X1,X3),X3) ),
file('<stdin>',cls_Set_OinsertCI_0) ).
fof(c_0_12_013,axiom,
! [X4,X1,X2,X3] :
( ~ c_in(X4,X2,X3)
| ~ c_lessequals(X2,X1,tc_set(X3))
| c_in(X4,X1,X3) ),
file('<stdin>',cls_Set_OsubsetD_0) ).
fof(c_0_13_014,axiom,
! [X1,X2,X3] :
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
file('<stdin>',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(c_0_14_015,axiom,
! [X4,X2,X3] :
( ~ c_in(X4,X2,X3)
| ~ c_in(X4,c_uminus(X2,tc_set(X3)),X3) ),
file('<stdin>',cls_Set_OComplD__dest_0) ).
fof(c_0_15,axiom,
! [X1,X2,X3] :
( c_in(c_Main_OsubsetI__1(X2,X1,X3),X2,X3)
| c_lessequals(X2,X1,tc_set(X3)) ),
file('<stdin>',cls_Set_OsubsetI_0) ).
fof(c_0_16,axiom,
! [X1,X2,X3] :
( ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3))
| X2 = X1 ),
file('<stdin>',cls_Set_Osubset__antisym_0) ).
fof(c_0_17,axiom,
! [X4,X2,X3] :
( c_in(X4,X2,X3)
| c_in(X4,c_uminus(X2,tc_set(X3)),X3) ),
file('<stdin>',cls_Set_OComplI_0) ).
fof(c_0_18,plain,
! [X4,X1,X2,X3] :
( ~ c_in(X4,c_union(X2,X1,X3),X3)
| c_in(X4,X1,X3)
| c_in(X4,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_19,plain,
! [X4,X1,X2,X3] :
( ~ c_in(X4,X1,X3)
| ~ c_in(X4,X2,X3)
| c_in(X4,c_inter(X2,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_20,plain,
! [X1,X2,X3] :
( ~ c_in(c_Main_OsubsetI__1(X2,X1,X3),X1,X3)
| c_lessequals(X2,X1,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_21,plain,
! [X5,X6,X2,X3] :
( ~ c_in(X6,c_insert(X5,X2,X3),X3)
| c_in(X6,X2,X3)
| X6 = X5 ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_22,plain,
! [X4,X1,X2,X3] :
( ~ c_in(X4,c_inter(X2,X1,X3),X3)
| c_in(X4,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_23,plain,
! [X4,X1,X2,X3] :
( ~ c_in(X4,c_inter(X2,X1,X3),X3)
| c_in(X4,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_24,plain,
! [X8,X2,X3] :
( ~ c_in(X2,c_Union(X8,X3),X3)
| c_in(c_Main_OUnionE__1(X2,X8,X3),X8,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_25,plain,
! [X8,X2,X3] :
( ~ c_in(X2,c_Union(X8,X3),X3)
| c_in(X2,c_Main_OUnionE__1(X2,X8,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_26,plain,
! [X1,X2,X3] :
( ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_27,plain,
! [X7,X8,X2,X3] :
( ~ c_in(X2,X7,X3)
| ~ c_in(X7,X8,tc_set(X3))
| c_in(X2,c_Union(X8,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_28,plain,
! [X4,X1,X2,X3] :
( ~ c_in(X4,X1,X3)
| c_in(X4,c_union(X2,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_29,plain,
! [X5,X6,X1,X3] :
( ~ c_in(X6,X1,X3)
| c_in(X6,c_insert(X5,X1,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_30,plain,
! [X4,X1,X2,X3] :
( ~ c_in(X4,X2,X3)
| ~ c_lessequals(X2,X1,tc_set(X3))
| c_in(X4,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_31,plain,
! [X1,X2,X3] :
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_32,plain,
! [X4,X2,X3] :
( ~ c_in(X4,X2,X3)
| ~ c_in(X4,c_uminus(X2,tc_set(X3)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_33,axiom,
! [X1,X2,X3] :
( c_in(c_Main_OsubsetI__1(X2,X1,X3),X2,X3)
| c_lessequals(X2,X1,tc_set(X3)) ),
c_0_15 ).
fof(c_0_34,plain,
! [X1,X2,X3] :
( ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3))
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_35,axiom,
! [X4,X2,X3] :
( c_in(X4,X2,X3)
| c_in(X4,c_uminus(X2,tc_set(X3)),X3) ),
c_0_17 ).
fof(c_0_36,plain,
! [X5,X6,X7,X8] :
( ~ c_in(X5,c_union(X7,X6,X8),X8)
| c_in(X5,X6,X8)
| c_in(X5,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_37,plain,
! [X5,X6,X7,X8] :
( ~ c_in(X5,X6,X8)
| ~ c_in(X5,X7,X8)
| c_in(X5,c_inter(X7,X6,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_38,plain,
! [X4,X5,X6] :
( ~ c_in(c_Main_OsubsetI__1(X5,X4,X6),X4,X6)
| c_lessequals(X5,X4,tc_set(X6)) ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_39,plain,
! [X7,X8,X9,X10] :
( ~ c_in(X8,c_insert(X7,X9,X10),X10)
| c_in(X8,X9,X10)
| X8 = X7 ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_40,plain,
! [X5,X6,X7,X8] :
( ~ c_in(X5,c_inter(X7,X6,X8),X8)
| c_in(X5,X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_41,plain,
! [X5,X6,X7,X8] :
( ~ c_in(X5,c_inter(X7,X6,X8),X8)
| c_in(X5,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_23]) ).
fof(c_0_42,plain,
! [X9,X10,X11] :
( ~ c_in(X10,c_Union(X9,X11),X11)
| c_in(c_Main_OUnionE__1(X10,X9,X11),X9,tc_set(X11)) ),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_43,plain,
! [X9,X10,X11] :
( ~ c_in(X10,c_Union(X9,X11),X11)
| c_in(X10,c_Main_OUnionE__1(X10,X9,X11),X11) ),
inference(variable_rename,[status(thm)],[c_0_25]) ).
fof(c_0_44,plain,
! [X4,X5,X6] :
( ~ c_lessequals(c_uminus(X5,tc_set(X6)),c_uminus(X4,tc_set(X6)),tc_set(X6))
| c_lessequals(X4,X5,tc_set(X6)) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_45,plain,
! [X9,X10,X11,X12] :
( ~ c_in(X11,X9,X12)
| ~ c_in(X9,X10,tc_set(X12))
| c_in(X11,c_Union(X10,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_27]) ).
fof(c_0_46,plain,
! [X5,X6,X7,X8] :
( ~ c_in(X5,X6,X8)
| c_in(X5,c_union(X7,X6,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
fof(c_0_47,plain,
! [X7,X8,X9,X10] :
( ~ c_in(X8,X9,X10)
| c_in(X8,c_insert(X7,X9,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_48,plain,
! [X5,X6,X7,X8] :
( ~ c_in(X5,X7,X8)
| ~ c_lessequals(X7,X6,tc_set(X8))
| c_in(X5,X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_49,plain,
! [X4,X5,X6] :
( ~ c_lessequals(X4,X5,tc_set(X6))
| c_lessequals(c_uminus(X5,tc_set(X6)),c_uminus(X4,tc_set(X6)),tc_set(X6)) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_50,plain,
! [X5,X6,X7] :
( ~ c_in(X5,X6,X7)
| ~ c_in(X5,c_uminus(X6,tc_set(X7)),X7) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_51,plain,
! [X4,X5,X6] :
( c_in(c_Main_OsubsetI__1(X5,X4,X6),X5,X6)
| c_lessequals(X5,X4,tc_set(X6)) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_52,plain,
! [X4,X5,X6] :
( ~ c_lessequals(X4,X5,tc_set(X6))
| ~ c_lessequals(X5,X4,tc_set(X6))
| X5 = X4 ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_53,plain,
! [X5,X6,X7] :
( c_in(X5,X6,X7)
| c_in(X5,c_uminus(X6,tc_set(X7)),X7) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
cnf(c_0_54,plain,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_union(X2,X4,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,plain,
( c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4)
| ~ c_in(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_56,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_57,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_59,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_60,plain,
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_61,plain,
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_62,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_63,plain,
( c_in(X1,c_Union(X2,X3),X3)
| ~ c_in(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_64,plain,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_65,plain,
( c_in(X1,c_insert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_67,plain,
( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_68,plain,
( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_69,plain,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_70,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_71,plain,
( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_72,plain,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_union(X2,X4,X3),X3) ),
c_0_54,
[final] ).
cnf(c_0_73,plain,
( c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4)
| ~ c_in(X1,X3,X4) ),
c_0_55,
[final] ).
cnf(c_0_74,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
c_0_56,
[final] ).
cnf(c_0_75,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
c_0_57,
[final] ).
cnf(c_0_76,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
c_0_58,
[final] ).
cnf(c_0_77,plain,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
c_0_59,
[final] ).
cnf(c_0_78,plain,
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) ),
c_0_60,
[final] ).
cnf(c_0_79,plain,
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ),
c_0_61,
[final] ).
cnf(c_0_80,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
c_0_62,
[final] ).
cnf(c_0_81,plain,
( c_in(X1,c_Union(X2,X3),X3)
| ~ c_in(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
c_0_63,
[final] ).
cnf(c_0_82,plain,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
c_0_64,
[final] ).
cnf(c_0_83,plain,
( c_in(X1,c_insert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
c_0_65,
[final] ).
cnf(c_0_84,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
c_0_66,
[final] ).
cnf(c_0_85,plain,
( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
c_0_67,
[final] ).
cnf(c_0_86,plain,
( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_68,
[final] ).
cnf(c_0_87,plain,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
c_0_69,
[final] ).
cnf(c_0_88,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
c_0_70,
[final] ).
cnf(c_0_89,plain,
( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| c_in(X1,X2,X3) ),
c_0_71,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_72_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_union(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_1,axiom,
( c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| ~ c_in(X1,c_union(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_2,axiom,
( ~ c_in(X1,c_union(X2,X4,X3),X3)
| c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_73_0,axiom,
( c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_73_1,axiom,
( ~ c_in(X1,X2,X4)
| c_in(X1,c_inter(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_73_2,axiom,
( ~ c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4)
| c_in(X1,c_inter(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_74_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_74_1,axiom,
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_75_0,axiom,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_75_1,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_75_2,axiom,
( ~ c_in(X1,c_insert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_76_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_1,axiom,
( ~ c_in(X1,c_inter(X4,X2,X3),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_77_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_inter(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_1,axiom,
( ~ c_in(X1,c_inter(X2,X4,X3),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_78_0,axiom,
( c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,c_Union(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_1,axiom,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(c_Main_OUnionE__1(X1,X2,X3),X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_79_0,axiom,
( c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_1,axiom,
( ~ c_in(X1,c_Union(X2,X3),X3)
| c_in(X1,c_Main_OUnionE__1(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_80_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_1,axiom,
( ~ c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_81_0,axiom,
( c_in(X1,c_Union(X2,X3),X3)
| ~ c_in(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_1,axiom,
( ~ c_in(X4,X2,tc_set(X3))
| c_in(X1,c_Union(X2,X3),X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_in(X4,X2,tc_set(X3))
| c_in(X1,c_Union(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_82_0,axiom,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_1,axiom,
( ~ c_in(X1,X3,X4)
| c_in(X1,c_union(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_83_0,axiom,
( c_in(X1,c_insert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_1,axiom,
( ~ c_in(X1,X3,X4)
| c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_84_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_1,axiom,
( ~ c_lessequals(X4,X2,tc_set(X3))
| c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_2,axiom,
( ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_set(X3))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_85_0,axiom,
( c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_1,axiom,
( ~ c_lessequals(X3,X1,tc_set(X2))
| c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X3,tc_set(X2)),tc_set(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_86_0,axiom,
( ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_87_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_1,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_1,axiom,
( ~ c_lessequals(X1,X2,tc_set(X3))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_2,axiom,
( ~ c_lessequals(X2,X1,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_0,axiom,
( c_in(X1,c_uminus(X2,tc_set(X3)),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_1,axiom,
( c_in(X1,X2,X3)
| c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_016,negated_conjecture,
! [X1] :
( c_lessequals(v_B,X1,tc_set(t_a))
| c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X1,v_C,tc_set(t_a)) ),
file('<stdin>',cls_conjecture_2) ).
fof(c_0_1_017,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_2_018,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_3_019,negated_conjecture,
! [X1] :
( c_lessequals(v_B,X1,tc_set(t_a))
| c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X1,v_C,tc_set(t_a)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_4_020,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_5_021,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_6_022,negated_conjecture,
! [X2] :
( c_lessequals(v_B,X2,tc_set(t_a))
| c_lessequals(X2,v_A,tc_set(t_a))
| ~ c_in(X2,v_C,tc_set(t_a)) ),
inference(variable_rename,[status(thm)],[c_0_3]) ).
fof(c_0_7_023,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
c_0_4 ).
fof(c_0_8_024,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
c_0_5 ).
cnf(c_0_9_025,negated_conjecture,
( c_lessequals(X1,v_A,tc_set(t_a))
| c_lessequals(v_B,X1,tc_set(t_a))
| ~ c_in(X1,v_C,tc_set(t_a)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10_026,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11_027,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12_028,negated_conjecture,
( c_lessequals(X1,v_A,tc_set(t_a))
| c_lessequals(v_B,X1,tc_set(t_a))
| ~ c_in(X1,v_C,tc_set(t_a)) ),
c_0_9,
[final] ).
cnf(c_0_13_029,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
c_0_10,
[final] ).
cnf(c_0_14_030,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
c_0_11,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_21,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X1,X3,tc_set(X2))
| c_in(X0,c_Union(X3,X2),X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_81_0) ).
cnf(c_109,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X1,X3,tc_set(X2))
| c_in(X0,c_Union(X3,X2),X2) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_49840,plain,
( c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Union(v_C,t_a),t_a)
| ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),X0,t_a)
| ~ c_in(X0,v_C,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_50675,plain,
( ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Union(v_C,t_a),t_a)
| ~ c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_49840]) ).
cnf(c_29,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_84_1) ).
cnf(c_117,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) ),
inference(copy,[status(esa)],[c_29]) ).
cnf(c_18729,plain,
( ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),v_B,t_a)
| c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),X0,t_a)
| ~ c_lessequals(v_B,X0,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_19573,plain,
( c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),v_B,t_a)
| ~ c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_18729]) ).
cnf(c_18865,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),X0,t_a)
| ~ c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),X0,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_19255,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_A,t_a)
| ~ c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_A,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_18865]) ).
cnf(c_45,negated_conjecture,
( ~ c_in(X0,v_C,tc_set(t_a))
| c_lessequals(v_B,X0,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_12) ).
cnf(c_67,negated_conjecture,
( ~ c_in(X0,v_C,tc_set(t_a))
| c_lessequals(v_B,X0,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_45]) ).
cnf(c_79,negated_conjecture,
( ~ c_in(X0,v_C,tc_set(t_a))
| c_lessequals(v_B,X0,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_84,negated_conjecture,
( ~ c_in(X0,v_C,tc_set(t_a))
| c_lessequals(v_B,X0,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_79]) ).
cnf(c_85,negated_conjecture,
( ~ c_in(X0,v_C,tc_set(t_a))
| c_lessequals(v_B,X0,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_84]) ).
cnf(c_133,negated_conjecture,
( ~ c_in(X0,v_C,tc_set(t_a))
| c_lessequals(v_B,X0,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(copy,[status(esa)],[c_85]) ).
cnf(c_18893,plain,
( ~ c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a))
| c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_A,tc_set(t_a))
| c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_18,plain,
( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
| ~ c_in(X0,c_Union(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_79_1) ).
cnf(c_106,plain,
( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
| ~ c_in(X0,c_Union(X1,X2),X2) ),
inference(copy,[status(esa)],[c_18]) ).
cnf(c_18757,plain,
( c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_16,plain,
( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Union(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_78_1) ).
cnf(c_104,plain,
( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
| ~ c_in(X0,c_Union(X1,X2),X2) ),
inference(copy,[status(esa)],[c_16]) ).
cnf(c_18758,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a)
| c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_35,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_87_0) ).
cnf(c_123,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(copy,[status(esa)],[c_35]) ).
cnf(c_18647,plain,
( c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a)
| c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_18646,plain,
( c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),v_B,t_a)
| c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_6,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_74_0) ).
cnf(c_94,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(copy,[status(esa)],[c_6]) ).
cnf(c_18622,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_A,t_a)
| c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_18621,plain,
( ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Union(v_C,t_a),t_a)
| c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_46,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_13) ).
cnf(c_47,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
file('/export/starexec/sandbox/tmp/iprover_modulo_3e8008.p',c_0_14) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_50675,c_19573,c_19255,c_18893,c_18757,c_18758,c_18647,c_18646,c_18622,c_18621,c_46,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET860-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 16:31:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.20/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40 % Orientation found
% 0.20/0.40 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_adcafb.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_3e8008.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_e6668e | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 0.20/0.43 % --inst_prop_sim_new false
% 0.20/0.43 % --inst_orphan_elimination true
% 0.20/0.43 % --inst_learning_loop_flag true
% 0.20/0.43 % --inst_learning_start 3000
% 0.20/0.43 % --inst_learning_factor 2
% 0.20/0.43 % --inst_start_prop_sim_after_learn 3
% 0.20/0.43 % --inst_sel_renew solver
% 0.20/0.43 % --inst_lit_activity_flag true
% 0.20/0.43 % --inst_out_proof true
% 0.20/0.43
% 0.20/0.43 % ------ Resolution Options
% 0.20/0.43
% 0.20/0.43 % --resolution_flag true
% 0.20/0.43 % --res_lit_sel kbo_max
% 0.20/0.43 % --res_to_prop_solver none
% 0.20/0.43 % --res_prop_simpl_new false
% 0.20/0.43 % --res_prop_simpl_given false
% 0.20/0.43 % --res_passive_queue_type priority_queues
% 0.20/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43 % --res_passive_queues_freq [15;5]
% 0.20/0.43 % --res_forward_subs full
% 0.20/0.43 % --res_backward_subs full
% 0.20/0.43 % --res_forward_subs_resolution true
% 0.20/0.43 % --res_backward_subs_resolution true
% 0.20/0.43 % --res_orphan_elimination false
% 0.20/0.43 % --res_time_limit 1000.
% 0.20/0.43 % --res_out_proof true
% 0.20/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_adcafb.s
% 0.20/0.43 % --modulo true
% 0.20/0.43
% 0.20/0.43 % ------ Combination Options
% 0.20/0.43
% 0.20/0.43 % --comb_res_mult 1000
% 0.20/0.43 % --comb_inst_mult 300
% 0.20/0.43 % ------
% 0.20/0.43
% 0.20/0.43 % ------ Parsing...% successful
% 0.20/0.43
% 0.20/0.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.43
% 0.20/0.43 % ------ Proving...
% 0.20/0.43 % ------ Problem Properties
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % EPR false
% 0.20/0.43 % Horn false
% 0.20/0.43 % Has equality true
% 0.20/0.43
% 0.20/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % % ------ Current options:
% 0.20/0.43
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 1.89/2.07 % --inst_prop_sim_new false
% 1.89/2.07 % --inst_orphan_elimination true
% 1.89/2.07 % --inst_learning_loop_flag true
% 1.89/2.07 % --inst_learning_start 3000
% 1.89/2.07 % --inst_learning_factor 2
% 1.89/2.07 % --inst_start_prop_sim_after_learn 3
% 1.89/2.07 % --inst_sel_renew solver
% 1.89/2.07 % --inst_lit_activity_flag true
% 1.89/2.07 % --inst_out_proof true
% 1.89/2.07
% 1.89/2.07 % ------ Resolution Options
% 1.89/2.07
% 1.89/2.07 % --resolution_flag true
% 1.89/2.07 % --res_lit_sel kbo_max
% 1.89/2.07 % --res_to_prop_solver none
% 1.89/2.07 % --res_prop_simpl_new false
% 1.89/2.07 % --res_prop_simpl_given false
% 1.89/2.07 % --res_passive_queue_type priority_queues
% 1.89/2.07 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.89/2.07 % --res_passive_queues_freq [15;5]
% 1.89/2.07 % --res_forward_subs full
% 1.89/2.07 % --res_backward_subs full
% 1.89/2.07 % --res_forward_subs_resolution true
% 1.89/2.07 % --res_backward_subs_resolution true
% 1.89/2.07 % --res_orphan_elimination false
% 1.89/2.07 % --res_time_limit 1000.
% 1.89/2.07 % --res_out_proof true
% 1.89/2.07 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_adcafb.s
% 1.89/2.07 % --modulo true
% 1.89/2.07
% 1.89/2.07 % ------ Combination Options
% 1.89/2.07
% 1.89/2.07 % --comb_res_mult 1000
% 1.89/2.07 % --comb_inst_mult 300
% 1.89/2.07 % ------
% 1.89/2.07
% 1.89/2.07
% 1.89/2.07
% 1.89/2.07 % ------ Proving...
% 1.89/2.07 %
% 1.89/2.07
% 1.89/2.07
% 1.89/2.07 % ------ Statistics
% 1.89/2.07
% 1.89/2.07 % ------ General
% 1.89/2.07
% 1.89/2.07 % num_of_input_clauses: 48
% 1.89/2.07 % num_of_input_neg_conjectures: 3
% 1.89/2.07 % num_of_splits: 0
% 1.89/2.07 % num_of_split_atoms: 0
% 1.89/2.07 % num_of_sem_filtered_clauses: 0
% 1.89/2.07 % num_of_subtypes: 0
% 1.89/2.07 % monotx_restored_types: 0
% 1.89/2.07 % sat_num_of_epr_types: 0
% 1.89/2.07 % sat_num_of_non_cyclic_types: 0
% 1.89/2.07 % sat_guarded_non_collapsed_types: 0
% 1.89/2.07 % is_epr: 0
% 1.89/2.07 % is_horn: 0
% 1.89/2.07 % has_eq: 1
% 1.89/2.07 % num_pure_diseq_elim: 0
% 1.89/2.07 % simp_replaced_by: 0
% 1.89/2.07 % res_preprocessed: 6
% 1.89/2.07 % prep_upred: 0
% 1.89/2.07 % prep_unflattend: 0
% 1.89/2.07 % pred_elim_cands: 0
% 1.89/2.07 % pred_elim: 0
% 1.89/2.07 % pred_elim_cl: 0
% 1.89/2.07 % pred_elim_cycles: 0
% 1.89/2.07 % forced_gc_time: 0
% 1.89/2.07 % gc_basic_clause_elim: 0
% 1.89/2.07 % parsing_time: 0.002
% 1.89/2.07 % sem_filter_time: 0.
% 1.89/2.07 % pred_elim_time: 0.
% 1.89/2.07 % out_proof_time: 0.001
% 1.89/2.07 % monotx_time: 0.
% 1.89/2.07 % subtype_inf_time: 0.
% 1.89/2.07 % unif_index_cands_time: 0.01
% 1.89/2.07 % unif_index_add_time: 0.005
% 1.89/2.07 % total_time: 1.663
% 1.89/2.07 % num_of_symbols: 41
% 1.89/2.07 % num_of_terms: 20888
% 1.89/2.07
% 1.89/2.07 % ------ Propositional Solver
% 1.89/2.07
% 1.89/2.07 % prop_solver_calls: 9
% 1.89/2.07 % prop_fast_solver_calls: 15
% 1.89/2.07 % prop_num_of_clauses: 1354
% 1.89/2.07 % prop_preprocess_simplified: 1649
% 1.89/2.07 % prop_fo_subsumed: 0
% 1.89/2.07 % prop_solver_time: 0.
% 1.89/2.07 % prop_fast_solver_time: 0.
% 1.89/2.07 % prop_unsat_core_time: 0.
% 1.89/2.07
% 1.89/2.07 % ------ QBF
% 1.89/2.07
% 1.89/2.07 % qbf_q_res: 0
% 1.89/2.07 % qbf_num_tautologies: 0
% 1.89/2.07 % qbf_prep_cycles: 0
% 1.89/2.07
% 1.89/2.07 % ------ BMC1
% 1.89/2.07
% 1.89/2.07 % bmc1_current_bound: -1
% 1.89/2.07 % bmc1_last_solved_bound: -1
% 1.89/2.07 % bmc1_unsat_core_size: -1
% 1.89/2.07 % bmc1_unsat_core_parents_size: -1
% 1.89/2.07 % bmc1_merge_next_fun: 0
% 1.89/2.07 % bmc1_unsat_core_clauses_time: 0.
% 1.89/2.07
% 1.89/2.07 % ------ Instantiation
% 1.89/2.07
% 1.89/2.07 % inst_num_of_clauses: 991
% 1.89/2.07 % inst_num_in_passive: 615
% 1.89/2.07 % inst_num_in_active: 329
% 1.89/2.07 % inst_num_in_unprocessed: 43
% 1.89/2.07 % inst_num_of_loops: 366
% 1.89/2.07 % inst_num_of_learning_restarts: 0
% 1.89/2.07 % inst_num_moves_active_passive: 32
% 1.89/2.07 % inst_lit_activity: 182
% 1.89/2.07 % inst_lit_activity_moves: 0
% 1.89/2.07 % inst_num_tautologies: 2
% 1.89/2.07 % inst_num_prop_implied: 0
% 1.89/2.07 % inst_num_existing_simplified: 0
% 1.89/2.07 % inst_num_eq_res_simplified: 0
% 1.89/2.07 % inst_num_child_elim: 0
% 1.89/2.07 % inst_num_of_dismatching_blockings: 988
% 1.89/2.07 % inst_num_of_non_proper_insts: 1012
% 1.89/2.07 % inst_num_of_duplicates: 660
% 1.89/2.07 % inst_inst_num_from_inst_to_res: 0
% 1.89/2.07 % inst_dismatching_checking_time: 0.002
% 1.89/2.07
% 1.89/2.07 % ------ Resolution
% 1.89/2.07
% 1.89/2.07 % res_num_of_clauses: 15217
% 1.89/2.07 % res_num_in_passive: 14012
% 1.89/2.07 % res_num_in_active: 1531
% 1.89/2.07 % res_num_of_loops: 2000
% 1.89/2.07 % res_forward_subset_subsumed: 2440
% 1.89/2.07 % res_backward_subset_subsumed: 442
% 1.89/2.07 % res_forward_subsumed: 416
% 1.89/2.07 % res_backward_subsumed: 11
% 1.89/2.07 % res_forward_subsumption_resolution: 63
% 1.89/2.07 % res_backward_subsumption_resolution: 2
% 1.89/2.07 % res_clause_to_clause_subsumption: 41402
% 1.89/2.07 % res_orphan_elimination: 0
% 1.89/2.07 % res_tautology_del: 111
% 1.89/2.07 % res_num_eq_res_simplified: 0
% 1.89/2.07 % res_num_sel_changes: 0
% 1.89/2.07 % res_moves_from_active_to_pass: 0
% 1.89/2.07
% 1.89/2.07 % Status Unsatisfiable
% 1.89/2.07 % SZS status Unsatisfiable
% 1.89/2.07 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------