%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SET007-1 : TPTP v8.1.0. Released v1.0.0.
% 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 02:08:15 EDT 2022
% Result : Unsatisfiable 16.76s 16.97s
% Output : CNFRefutation 16.76s
% 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(a_intersection_bUc,axiom,
intersection(a,bUc,aI_bUc),
input ).
fof(a_intersection_bUc_0,plain,
( intersection(a,bUc,aI_bUc)
| $false ),
inference(orientation,[status(thm)],[a_intersection_bUc]) ).
cnf(a_intersection_c,axiom,
intersection(a,c,aIc),
input ).
fof(a_intersection_c_0,plain,
( intersection(a,c,aIc)
| $false ),
inference(orientation,[status(thm)],[a_intersection_c]) ).
cnf(a_intersection_b,axiom,
intersection(a,b,aIb),
input ).
fof(a_intersection_b_0,plain,
( intersection(a,b,aIb)
| $false ),
inference(orientation,[status(thm)],[a_intersection_b]) ).
cnf(b_union_c,axiom,
union(b,c,bUc),
input ).
fof(b_union_c_0,plain,
( union(b,c,bUc)
| $false ),
inference(orientation,[status(thm)],[b_union_c]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> union(b,c,bUc) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[b_union_c_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> intersection(a,b,aIb) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[a_intersection_b_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> intersection(a,c,aIc) ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[a_intersection_c_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> intersection(a,bUc,aI_bUc) ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[a_intersection_bUc_0,def_lhs_atom4]) ).
% Start CNF derivation
fof(c_0_0,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_1,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_2,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_3,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_4,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_5,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_6,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_7,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_8,plain,
lhs_atom4,
c_0_4 ).
fof(c_0_9,plain,
lhs_atom3,
c_0_5 ).
fof(c_0_10,plain,
lhs_atom2,
c_0_6 ).
fof(c_0_11,plain,
lhs_atom1,
c_0_7 ).
cnf(c_0_12,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
lhs_atom4,
c_0_12,
[final] ).
cnf(c_0_17,plain,
lhs_atom3,
c_0_13,
[final] ).
cnf(c_0_18,plain,
lhs_atom2,
c_0_14,
[final] ).
cnf(c_0_19,plain,
lhs_atom1,
c_0_15,
[final] ).
% End CNF derivation
cnf(c_0_16_0,axiom,
intersection(a,bUc,aI_bUc),
inference(unfold_definition,[status(thm)],[c_0_16,def_lhs_atom4]) ).
cnf(c_0_17_0,axiom,
intersection(a,c,aIc),
inference(unfold_definition,[status(thm)],[c_0_17,def_lhs_atom3]) ).
cnf(c_0_18_0,axiom,
intersection(a,b,aIb),
inference(unfold_definition,[status(thm)],[c_0_18,def_lhs_atom2]) ).
cnf(c_0_19_0,axiom,
union(b,c,bUc),
inference(unfold_definition,[status(thm)],[c_0_19,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3] :
( ~ member(h(X2,X1,X3),X3)
| ~ member(h(X2,X1,X3),X1)
| ~ member(h(X2,X1,X3),X2)
| intersection(X2,X1,X3) ),
file('<stdin>',intersection_axiom3) ).
fof(c_0_1_002,axiom,
! [X5,X1,X2] :
( ~ member(g(X2,X1,X5),X2)
| ~ member(g(X2,X1,X5),X5)
| union(X2,X1,X5) ),
file('<stdin>',union_axiom2) ).
fof(c_0_2_003,axiom,
! [X5,X1,X2] :
( ~ member(g(X2,X1,X5),X1)
| ~ member(g(X2,X1,X5),X5)
| union(X2,X1,X5) ),
file('<stdin>',union_axiom3) ).
fof(c_0_3_004,axiom,
! [X5,X1,X2] :
( union(X2,X1,X5)
| member(g(X2,X1,X5),X2)
| member(g(X2,X1,X5),X1)
| member(g(X2,X1,X5),X5) ),
file('<stdin>',union_axiom1) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3] :
( member(h(X2,X1,X3),X3)
| intersection(X2,X1,X3)
| member(h(X2,X1,X3),X2) ),
file('<stdin>',intersection_axiom1) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3] :
( member(h(X2,X1,X3),X3)
| intersection(X2,X1,X3)
| member(h(X2,X1,X3),X1) ),
file('<stdin>',intersection_axiom2) ).
fof(c_0_6_007,axiom,
! [X1,X2,X3,X4] :
( ~ intersection(X2,X1,X3)
| ~ member(X4,X1)
| ~ member(X4,X2)
| member(X4,X3) ),
file('<stdin>',member_of_both_is_member_of_intersection) ).
fof(c_0_7_008,axiom,
! [X5,X1,X2,X4] :
( ~ union(X2,X1,X5)
| ~ member(X4,X5)
| member(X4,X2)
| member(X4,X1) ),
file('<stdin>',member_of_union_is_member_of_one_set) ).
fof(c_0_8_009,axiom,
! [X5,X1,X2,X4] :
( ~ union(X2,X1,X5)
| ~ member(X4,X2)
| member(X4,X5) ),
file('<stdin>',member_of_set1_is_member_of_union) ).
fof(c_0_9_010,axiom,
! [X5,X1,X2,X4] :
( ~ union(X2,X1,X5)
| ~ member(X4,X1)
| member(X4,X5) ),
file('<stdin>',member_of_set2_is_member_of_union) ).
fof(c_0_10_011,axiom,
! [X1,X2,X3,X4] :
( ~ intersection(X2,X1,X3)
| ~ member(X4,X3)
| member(X4,X2) ),
file('<stdin>',member_of_intersection_is_member_of_set1) ).
fof(c_0_11_012,axiom,
! [X1,X2,X3,X4] :
( ~ intersection(X2,X1,X3)
| ~ member(X4,X3)
| member(X4,X1) ),
file('<stdin>',member_of_intersection_is_member_of_set2) ).
fof(c_0_12_013,axiom,
! [X6,X7] :
( ~ member(member_of_1_not_of_2(X7,X6),X6)
| subset(X7,X6) ),
file('<stdin>',subsets_axiom2) ).
fof(c_0_13_014,axiom,
! [X6,X7,X4] :
( ~ member(X4,X7)
| ~ subset(X7,X6)
| member(X4,X6) ),
file('<stdin>',membership_in_subsets) ).
fof(c_0_14_015,axiom,
! [X1,X2] :
( ~ subset(X2,X1)
| ~ subset(X1,X2)
| equal_sets(X1,X2) ),
file('<stdin>',subsets_are_set_equal_sets) ).
fof(c_0_15_016,axiom,
! [X6,X7] :
( subset(X7,X6)
| member(member_of_1_not_of_2(X7,X6),X7) ),
file('<stdin>',subsets_axiom1) ).
fof(c_0_16_017,axiom,
! [X6,X7] :
( ~ equal_sets(X7,X6)
| subset(X7,X6) ),
file('<stdin>',set_equal_sets_are_subsets1) ).
fof(c_0_17_018,axiom,
! [X6,X7] :
( ~ equal_sets(X6,X7)
| subset(X7,X6) ),
file('<stdin>',set_equal_sets_are_subsets2) ).
fof(c_0_18_019,plain,
! [X1,X2,X3] :
( ~ member(h(X2,X1,X3),X3)
| ~ member(h(X2,X1,X3),X1)
| ~ member(h(X2,X1,X3),X2)
| intersection(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_19_020,plain,
! [X5,X1,X2] :
( ~ member(g(X2,X1,X5),X2)
| ~ member(g(X2,X1,X5),X5)
| union(X2,X1,X5) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_20,plain,
! [X5,X1,X2] :
( ~ member(g(X2,X1,X5),X1)
| ~ member(g(X2,X1,X5),X5)
| union(X2,X1,X5) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_21,axiom,
! [X5,X1,X2] :
( union(X2,X1,X5)
| member(g(X2,X1,X5),X2)
| member(g(X2,X1,X5),X1)
| member(g(X2,X1,X5),X5) ),
c_0_3 ).
fof(c_0_22,axiom,
! [X1,X2,X3] :
( member(h(X2,X1,X3),X3)
| intersection(X2,X1,X3)
| member(h(X2,X1,X3),X2) ),
c_0_4 ).
fof(c_0_23,axiom,
! [X1,X2,X3] :
( member(h(X2,X1,X3),X3)
| intersection(X2,X1,X3)
| member(h(X2,X1,X3),X1) ),
c_0_5 ).
fof(c_0_24,plain,
! [X1,X2,X3,X4] :
( ~ intersection(X2,X1,X3)
| ~ member(X4,X1)
| ~ member(X4,X2)
| member(X4,X3) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_25,plain,
! [X5,X1,X2,X4] :
( ~ union(X2,X1,X5)
| ~ member(X4,X5)
| member(X4,X2)
| member(X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_26,plain,
! [X5,X1,X2,X4] :
( ~ union(X2,X1,X5)
| ~ member(X4,X2)
| member(X4,X5) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_27,plain,
! [X5,X1,X2,X4] :
( ~ union(X2,X1,X5)
| ~ member(X4,X1)
| member(X4,X5) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_28,plain,
! [X1,X2,X3,X4] :
( ~ intersection(X2,X1,X3)
| ~ member(X4,X3)
| member(X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_29,plain,
! [X1,X2,X3,X4] :
( ~ intersection(X2,X1,X3)
| ~ member(X4,X3)
| member(X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_30,plain,
! [X6,X7] :
( ~ member(member_of_1_not_of_2(X7,X6),X6)
| subset(X7,X6) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_31,plain,
! [X6,X7,X4] :
( ~ member(X4,X7)
| ~ subset(X7,X6)
| member(X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_32,plain,
! [X1,X2] :
( ~ subset(X2,X1)
| ~ subset(X1,X2)
| equal_sets(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_33,axiom,
! [X6,X7] :
( subset(X7,X6)
| member(member_of_1_not_of_2(X7,X6),X7) ),
c_0_15 ).
fof(c_0_34,plain,
! [X6,X7] :
( ~ equal_sets(X7,X6)
| subset(X7,X6) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_35,plain,
! [X6,X7] :
( ~ equal_sets(X6,X7)
| subset(X7,X6) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_36,plain,
! [X4,X5,X6] :
( ~ member(h(X5,X4,X6),X6)
| ~ member(h(X5,X4,X6),X4)
| ~ member(h(X5,X4,X6),X5)
| intersection(X5,X4,X6) ),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_37,plain,
! [X6,X7,X8] :
( ~ member(g(X8,X7,X6),X8)
| ~ member(g(X8,X7,X6),X6)
| union(X8,X7,X6) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_38,plain,
! [X6,X7,X8] :
( ~ member(g(X8,X7,X6),X7)
| ~ member(g(X8,X7,X6),X6)
| union(X8,X7,X6) ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_39,plain,
! [X6,X7,X8] :
( union(X8,X7,X6)
| member(g(X8,X7,X6),X8)
| member(g(X8,X7,X6),X7)
| member(g(X8,X7,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_40,plain,
! [X4,X5,X6] :
( member(h(X5,X4,X6),X6)
| intersection(X5,X4,X6)
| member(h(X5,X4,X6),X5) ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_41,plain,
! [X4,X5,X6] :
( member(h(X5,X4,X6),X6)
| intersection(X5,X4,X6)
| member(h(X5,X4,X6),X4) ),
inference(variable_rename,[status(thm)],[c_0_23]) ).
fof(c_0_42,plain,
! [X5,X6,X7,X8] :
( ~ intersection(X6,X5,X7)
| ~ member(X8,X5)
| ~ member(X8,X6)
| member(X8,X7) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_24])])]) ).
fof(c_0_43,plain,
! [X6,X7,X8,X9] :
( ~ union(X8,X7,X6)
| ~ member(X9,X6)
| member(X9,X8)
| member(X9,X7) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_25])])]) ).
fof(c_0_44,plain,
! [X6,X7,X8,X9] :
( ~ union(X8,X7,X6)
| ~ member(X9,X8)
| member(X9,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_26])])]) ).
fof(c_0_45,plain,
! [X6,X7,X8,X9] :
( ~ union(X8,X7,X6)
| ~ member(X9,X7)
| member(X9,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_27])])]) ).
fof(c_0_46,plain,
! [X5,X6,X7,X8] :
( ~ intersection(X6,X5,X7)
| ~ member(X8,X7)
| member(X8,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_28])])]) ).
fof(c_0_47,plain,
! [X5,X6,X7,X8] :
( ~ intersection(X6,X5,X7)
| ~ member(X8,X7)
| member(X8,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_29])])]) ).
fof(c_0_48,plain,
! [X8,X9] :
( ~ member(member_of_1_not_of_2(X9,X8),X8)
| subset(X9,X8) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_49,plain,
! [X8,X9,X10] :
( ~ member(X10,X9)
| ~ subset(X9,X8)
| member(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_50,plain,
! [X3,X4] :
( ~ subset(X4,X3)
| ~ subset(X3,X4)
| equal_sets(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_51,plain,
! [X8,X9] :
( subset(X9,X8)
| member(member_of_1_not_of_2(X9,X8),X9) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_52,plain,
! [X8,X9] :
( ~ equal_sets(X9,X8)
| subset(X9,X8) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_53,plain,
! [X8,X9] :
( ~ equal_sets(X8,X9)
| subset(X9,X8) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
cnf(c_0_54,plain,
( intersection(X1,X2,X3)
| ~ member(h(X1,X2,X3),X1)
| ~ member(h(X1,X2,X3),X2)
| ~ member(h(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,plain,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X3)
| ~ member(g(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_56,plain,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X3)
| ~ member(g(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_57,plain,
( member(g(X1,X2,X3),X3)
| member(g(X1,X2,X3),X2)
| member(g(X1,X2,X3),X1)
| union(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,plain,
( member(h(X1,X2,X3),X1)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_59,plain,
( member(h(X1,X2,X3),X2)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_60,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ member(X1,X4)
| ~ intersection(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_61,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,X4)
| ~ union(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_62,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ union(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_63,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ union(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_64,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ intersection(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_65,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ intersection(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,plain,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_67,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_68,plain,
( equal_sets(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_69,plain,
( member(member_of_1_not_of_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_70,plain,
( subset(X1,X2)
| ~ equal_sets(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_71,plain,
( subset(X1,X2)
| ~ equal_sets(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_72,plain,
( intersection(X1,X2,X3)
| ~ member(h(X1,X2,X3),X1)
| ~ member(h(X1,X2,X3),X2)
| ~ member(h(X1,X2,X3),X3) ),
c_0_54,
[final] ).
cnf(c_0_73,plain,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X3)
| ~ member(g(X1,X2,X3),X1) ),
c_0_55,
[final] ).
cnf(c_0_74,plain,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X3)
| ~ member(g(X1,X2,X3),X2) ),
c_0_56,
[final] ).
cnf(c_0_75,plain,
( member(g(X1,X2,X3),X3)
| member(g(X1,X2,X3),X2)
| member(g(X1,X2,X3),X1)
| union(X1,X2,X3) ),
c_0_57,
[final] ).
cnf(c_0_76,plain,
( member(h(X1,X2,X3),X1)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
c_0_58,
[final] ).
cnf(c_0_77,plain,
( member(h(X1,X2,X3),X2)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
c_0_59,
[final] ).
cnf(c_0_78,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ member(X1,X4)
| ~ intersection(X3,X4,X2) ),
c_0_60,
[final] ).
cnf(c_0_79,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,X4)
| ~ union(X3,X2,X4) ),
c_0_61,
[final] ).
cnf(c_0_80,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ union(X3,X4,X2) ),
c_0_62,
[final] ).
cnf(c_0_81,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ union(X4,X3,X2) ),
c_0_63,
[final] ).
cnf(c_0_82,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ intersection(X2,X4,X3) ),
c_0_64,
[final] ).
cnf(c_0_83,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ intersection(X4,X2,X3) ),
c_0_65,
[final] ).
cnf(c_0_84,plain,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
c_0_66,
[final] ).
cnf(c_0_85,plain,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
c_0_67,
[final] ).
cnf(c_0_86,plain,
( equal_sets(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
c_0_68,
[final] ).
cnf(c_0_87,plain,
( member(member_of_1_not_of_2(X1,X2),X1)
| subset(X1,X2) ),
c_0_69,
[final] ).
cnf(c_0_88,plain,
( subset(X1,X2)
| ~ equal_sets(X1,X2) ),
c_0_70,
[final] ).
cnf(c_0_89,plain,
( subset(X1,X2)
| ~ equal_sets(X2,X1) ),
c_0_71,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_72_0,axiom,
( intersection(X1,X2,X3)
| ~ member(h(X1,X2,X3),X1)
| ~ member(h(X1,X2,X3),X2)
| ~ member(h(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_1,axiom,
( ~ member(h(X1,X2,X3),X1)
| intersection(X1,X2,X3)
| ~ member(h(X1,X2,X3),X2)
| ~ member(h(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_2,axiom,
( ~ member(h(X1,X2,X3),X2)
| ~ member(h(X1,X2,X3),X1)
| intersection(X1,X2,X3)
| ~ member(h(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_3,axiom,
( ~ member(h(X1,X2,X3),X3)
| ~ member(h(X1,X2,X3),X2)
| ~ member(h(X1,X2,X3),X1)
| intersection(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_73_0,axiom,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X3)
| ~ member(g(X1,X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_73_1,axiom,
( ~ member(g(X1,X2,X3),X3)
| union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_73_2,axiom,
( ~ member(g(X1,X2,X3),X1)
| ~ member(g(X1,X2,X3),X3)
| union(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_74_0,axiom,
( union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X3)
| ~ member(g(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_74_1,axiom,
( ~ member(g(X1,X2,X3),X3)
| union(X1,X2,X3)
| ~ member(g(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_74_2,axiom,
( ~ member(g(X1,X2,X3),X2)
| ~ member(g(X1,X2,X3),X3)
| union(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_75_0,axiom,
( member(g(X1,X2,X3),X3)
| member(g(X1,X2,X3),X2)
| member(g(X1,X2,X3),X1)
| union(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_75_1,axiom,
( member(g(X1,X2,X3),X2)
| member(g(X1,X2,X3),X3)
| member(g(X1,X2,X3),X1)
| union(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_75_2,axiom,
( member(g(X1,X2,X3),X1)
| member(g(X1,X2,X3),X2)
| member(g(X1,X2,X3),X3)
| union(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_75_3,axiom,
( union(X1,X2,X3)
| member(g(X1,X2,X3),X1)
| member(g(X1,X2,X3),X2)
| member(g(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_76_0,axiom,
( member(h(X1,X2,X3),X1)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_1,axiom,
( intersection(X1,X2,X3)
| member(h(X1,X2,X3),X1)
| member(h(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_2,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_77_0,axiom,
( member(h(X1,X2,X3),X2)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_1,axiom,
( intersection(X1,X2,X3)
| member(h(X1,X2,X3),X2)
| member(h(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_2,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_78_0,axiom,
( member(X1,X2)
| ~ member(X1,X3)
| ~ member(X1,X4)
| ~ intersection(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_1,axiom,
( ~ member(X1,X3)
| member(X1,X2)
| ~ member(X1,X4)
| ~ intersection(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_2,axiom,
( ~ member(X1,X4)
| ~ member(X1,X3)
| member(X1,X2)
| ~ intersection(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_3,axiom,
( ~ intersection(X3,X4,X2)
| ~ member(X1,X4)
| ~ member(X1,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_79_0,axiom,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,X4)
| ~ union(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_1,axiom,
( member(X1,X3)
| member(X1,X2)
| ~ member(X1,X4)
| ~ union(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_2,axiom,
( ~ member(X1,X4)
| member(X1,X3)
| member(X1,X2)
| ~ union(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_3,axiom,
( ~ union(X3,X2,X4)
| ~ member(X1,X4)
| member(X1,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_80_0,axiom,
( member(X1,X2)
| ~ member(X1,X3)
| ~ union(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_1,axiom,
( ~ member(X1,X3)
| member(X1,X2)
| ~ union(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_2,axiom,
( ~ union(X3,X4,X2)
| ~ member(X1,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_81_0,axiom,
( member(X1,X2)
| ~ member(X1,X3)
| ~ union(X4,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_1,axiom,
( ~ member(X1,X3)
| member(X1,X2)
| ~ union(X4,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_2,axiom,
( ~ union(X4,X3,X2)
| ~ member(X1,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_82_0,axiom,
( member(X1,X2)
| ~ member(X1,X3)
| ~ intersection(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_1,axiom,
( ~ member(X1,X3)
| member(X1,X2)
| ~ intersection(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_2,axiom,
( ~ intersection(X2,X4,X3)
| ~ member(X1,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_83_0,axiom,
( member(X1,X2)
| ~ member(X1,X3)
| ~ intersection(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_1,axiom,
( ~ member(X1,X3)
| member(X1,X2)
| ~ intersection(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_2,axiom,
( ~ intersection(X4,X2,X3)
| ~ member(X1,X3)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_84_0,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_1,axiom,
( ~ member(member_of_1_not_of_2(X1,X2),X2)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_85_0,axiom,
( member(X1,X2)
| ~ subset(X3,X2)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_1,axiom,
( ~ subset(X3,X2)
| member(X1,X2)
| ~ member(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_2,axiom,
( ~ member(X1,X3)
| ~ subset(X3,X2)
| member(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_86_0,axiom,
( equal_sets(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( ~ subset(X1,X2)
| equal_sets(X1,X2)
| ~ subset(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_2,axiom,
( ~ subset(X2,X1)
| ~ subset(X1,X2)
| equal_sets(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_87_0,axiom,
( member(member_of_1_not_of_2(X1,X2),X1)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_1,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_0,axiom,
( subset(X1,X2)
| ~ equal_sets(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_1,axiom,
( ~ equal_sets(X1,X2)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_0,axiom,
( subset(X1,X2)
| ~ equal_sets(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_1,axiom,
( ~ equal_sets(X2,X1)
| subset(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_021,negated_conjecture,
~ union(aIb,aIc,aI_bUc),
file('<stdin>',prove_aIb_union_aIc_is_aI_bUc) ).
fof(c_0_1_022,negated_conjecture,
~ union(aIb,aIc,aI_bUc),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_023,negated_conjecture,
~ union(aIb,aIc,aI_bUc),
c_0_1 ).
cnf(c_0_3_024,negated_conjecture,
~ union(aIb,aIc,aI_bUc),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_025,negated_conjecture,
~ union(aIb,aIc,aI_bUc),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_29,plain,
( ~ union(X0,X1,X2)
| member(X3,X2)
| ~ member(X3,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_80_1) ).
cnf(c_660505,plain,
( ~ union(X0,X1,X2)
| member(X3,X2)
| ~ member(X3,X0) ),
inference(copy,[status(esa)],[c_29]) ).
cnf(c_660818,plain,
( member(g(aIb,aIc,aI_bUc),bUc)
| ~ member(g(aIb,aIc,aI_bUc),X0)
| ~ union(X0,X1,bUc) ),
inference(instantiation,[status(thm)],[c_660505]) ).
cnf(c_661690,plain,
( ~ member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),bUc)
| ~ union(b,c,bUc) ),
inference(instantiation,[status(thm)],[c_660818]) ).
cnf(c_32,plain,
( ~ union(X0,X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_81_1) ).
cnf(c_660508,plain,
( ~ union(X0,X1,X2)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(copy,[status(esa)],[c_32]) ).
cnf(c_660816,plain,
( member(g(aIb,aIc,aI_bUc),bUc)
| ~ member(g(aIb,aIc,aI_bUc),X0)
| ~ union(X1,X0,bUc) ),
inference(instantiation,[status(thm)],[c_660508]) ).
cnf(c_661679,plain,
( ~ member(g(aIb,aIc,aI_bUc),c)
| member(g(aIb,aIc,aI_bUc),bUc)
| ~ union(b,c,bUc) ),
inference(instantiation,[status(thm)],[c_660816]) ).
cnf(c_22,plain,
( ~ intersection(X0,X1,X2)
| member(X3,X2)
| ~ member(X3,X0)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_78_2) ).
cnf(c_660498,plain,
( ~ intersection(X0,X1,X2)
| member(X3,X2)
| ~ member(X3,X0)
| ~ member(X3,X1) ),
inference(copy,[status(esa)],[c_22]) ).
cnf(c_660554,plain,
( ~ intersection(X0,X1,aI_bUc)
| member(g(aIb,aIc,aI_bUc),aI_bUc)
| ~ member(g(aIb,aIc,aI_bUc),X0)
| ~ member(g(aIb,aIc,aI_bUc),X1) ),
inference(instantiation,[status(thm)],[c_660498]) ).
cnf(c_660704,plain,
( ~ intersection(a,bUc,aI_bUc)
| ~ member(g(aIb,aIc,aI_bUc),bUc)
| ~ member(g(aIb,aIc,aI_bUc),a)
| member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference(instantiation,[status(thm)],[c_660554]) ).
cnf(c_35,plain,
( ~ intersection(X0,X1,X2)
| member(X3,X0)
| ~ member(X3,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_82_1) ).
cnf(c_109,plain,
( ~ intersection(X0,X1,X2)
| member(X3,X0)
| ~ member(X3,X2) ),
inference(copy,[status(esa)],[c_35]) ).
cnf(c_202528,plain,
( ~ intersection(X0,X1,X2)
| member(member_of_1_not_of_2(aI_bUc,X0),X0)
| ~ member(member_of_1_not_of_2(aI_bUc,X0),X2) ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_294232,plain,
( ~ intersection(X0,X1,aI_bUc)
| ~ member(member_of_1_not_of_2(aI_bUc,X0),aI_bUc)
| member(member_of_1_not_of_2(aI_bUc,X0),X0) ),
inference(instantiation,[status(thm)],[c_202528]) ).
cnf(c_533428,plain,
( ~ intersection(a,bUc,aI_bUc)
| member(member_of_1_not_of_2(aI_bUc,a),a)
| ~ member(member_of_1_not_of_2(aI_bUc,a),aI_bUc) ),
inference(instantiation,[status(thm)],[c_294232]) ).
cnf(c_27,plain,
( member(X0,X1)
| member(X0,X2)
| ~ member(X0,X3)
| ~ union(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_79_3) ).
cnf(c_101,plain,
( member(X0,X1)
| member(X0,X2)
| ~ member(X0,X3)
| ~ union(X2,X1,X3) ),
inference(copy,[status(esa)],[c_27]) ).
cnf(c_30075,plain,
( member(g(aIb,aIc,aI_bUc),X0)
| member(g(aIb,aIc,aI_bUc),X1)
| ~ member(g(aIb,aIc,aI_bUc),X2)
| ~ union(X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_158086,plain,
( member(g(aIb,aIc,aI_bUc),c)
| member(g(aIb,aIc,aI_bUc),X0)
| ~ member(g(aIb,aIc,aI_bUc),X1)
| ~ union(X0,c,X1) ),
inference(instantiation,[status(thm)],[c_30075]) ).
cnf(c_295046,plain,
( member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),c)
| ~ member(g(aIb,aIc,aI_bUc),X0)
| ~ union(b,c,X0) ),
inference(instantiation,[status(thm)],[c_158086]) ).
cnf(c_475909,plain,
( member(g(aIb,aIc,aI_bUc),b)
| member(g(aIb,aIc,aI_bUc),c)
| ~ member(g(aIb,aIc,aI_bUc),bUc)
| ~ union(b,c,bUc) ),
inference(instantiation,[status(thm)],[c_295046]) ).
cnf(c_23,plain,
( member(X0,X1)
| ~ member(X0,X2)
| ~ member(X0,X3)
| ~ intersection(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_78_3) ).
cnf(c_97,plain,
( member(X0,X1)
| ~ member(X0,X2)
| ~ member(X0,X3)
| ~ intersection(X2,X3,X1) ),
inference(copy,[status(esa)],[c_23]) ).
cnf(c_30069,plain,
( ~ intersection(X0,X1,X2)
| member(g(aIb,aIc,aI_bUc),X2)
| ~ member(g(aIb,aIc,aI_bUc),X0)
| ~ member(g(aIb,aIc,aI_bUc),X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_86305,plain,
( ~ intersection(X0,X1,aIb)
| member(g(aIb,aIc,aI_bUc),aIb)
| ~ member(g(aIb,aIc,aI_bUc),X0)
| ~ member(g(aIb,aIc,aI_bUc),X1) ),
inference(instantiation,[status(thm)],[c_30069]) ).
cnf(c_87580,plain,
( ~ intersection(a,b,aIb)
| ~ member(g(aIb,aIc,aI_bUc),b)
| ~ member(g(aIb,aIc,aI_bUc),a)
| member(g(aIb,aIc,aI_bUc),aIb) ),
inference(instantiation,[status(thm)],[c_86305]) ).
cnf(c_86303,plain,
( ~ intersection(X0,X1,aIc)
| member(g(aIb,aIc,aI_bUc),aIc)
| ~ member(g(aIb,aIc,aI_bUc),X0)
| ~ member(g(aIb,aIc,aI_bUc),X1) ),
inference(instantiation,[status(thm)],[c_30069]) ).
cnf(c_87579,plain,
( ~ intersection(a,c,aIc)
| ~ member(g(aIb,aIc,aI_bUc),c)
| ~ member(g(aIb,aIc,aI_bUc),a)
| member(g(aIb,aIc,aI_bUc),aIc) ),
inference(instantiation,[status(thm)],[c_86303]) ).
cnf(c_36,plain,
( member(X0,X1)
| ~ member(X0,X2)
| ~ intersection(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_82_2) ).
cnf(c_110,plain,
( member(X0,X1)
| ~ member(X0,X2)
| ~ intersection(X1,X3,X2) ),
inference(copy,[status(esa)],[c_36]) ).
cnf(c_29837,plain,
( ~ intersection(X0,X1,aIc)
| ~ member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),X0) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_29927,plain,
( ~ intersection(a,c,aIc)
| member(g(aIb,aIc,aI_bUc),a)
| ~ member(g(aIb,aIc,aI_bUc),aIc) ),
inference(instantiation,[status(thm)],[c_29837]) ).
cnf(c_39,plain,
( member(X0,X1)
| ~ member(X0,X2)
| ~ intersection(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_83_2) ).
cnf(c_113,plain,
( member(X0,X1)
| ~ member(X0,X2)
| ~ intersection(X3,X1,X2) ),
inference(copy,[status(esa)],[c_39]) ).
cnf(c_29836,plain,
( ~ intersection(X0,X1,aIc)
| ~ member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_29926,plain,
( ~ intersection(a,c,aIc)
| member(g(aIb,aIc,aI_bUc),c)
| ~ member(g(aIb,aIc,aI_bUc),aIc) ),
inference(instantiation,[status(thm)],[c_29836]) ).
cnf(c_29692,plain,
( ~ intersection(X0,X1,aI_bUc)
| ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_29754,plain,
( ~ intersection(a,bUc,aI_bUc)
| member(g(aIb,aIc,aI_bUc),bUc)
| ~ member(g(aIb,aIc,aI_bUc),aI_bUc) ),
inference(instantiation,[status(thm)],[c_29692]) ).
cnf(c_49,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_87_1) ).
cnf(c_123,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(copy,[status(esa)],[c_49]) ).
cnf(c_29730,plain,
( member(member_of_1_not_of_2(aI_bUc,X0),aI_bUc)
| subset(aI_bUc,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_29740,plain,
( member(member_of_1_not_of_2(aI_bUc,a),aI_bUc)
| subset(aI_bUc,a) ),
inference(instantiation,[status(thm)],[c_29730]) ).
cnf(c_41,plain,
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_84_1) ).
cnf(c_115,plain,
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
inference(copy,[status(esa)],[c_41]) ).
cnf(c_29732,plain,
( ~ member(member_of_1_not_of_2(aI_bUc,X0),X0)
| subset(aI_bUc,X0) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_29739,plain,
( ~ member(member_of_1_not_of_2(aI_bUc,a),a)
| subset(aI_bUc,a) ),
inference(instantiation,[status(thm)],[c_29732]) ).
cnf(c_44,plain,
( member(X0,X1)
| ~ subset(X2,X1)
| ~ member(X0,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_85_2) ).
cnf(c_118,plain,
( member(X0,X1)
| ~ subset(X2,X1)
| ~ member(X0,X2) ),
inference(copy,[status(esa)],[c_44]) ).
cnf(c_29694,plain,
( ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| member(g(aIb,aIc,aI_bUc),X0)
| ~ subset(aI_bUc,X0) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_29699,plain,
( member(g(aIb,aIc,aI_bUc),a)
| ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| ~ subset(aI_bUc,a) ),
inference(instantiation,[status(thm)],[c_29694]) ).
cnf(c_29614,plain,
( ~ intersection(X0,X1,aIb)
| ~ member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),X0) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_29665,plain,
( ~ intersection(a,b,aIb)
| member(g(aIb,aIc,aI_bUc),a)
| ~ member(g(aIb,aIc,aI_bUc),aIb) ),
inference(instantiation,[status(thm)],[c_29614]) ).
cnf(c_29613,plain,
( ~ intersection(X0,X1,aIb)
| ~ member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_29664,plain,
( ~ intersection(a,b,aIb)
| member(g(aIb,aIc,aI_bUc),b)
| ~ member(g(aIb,aIc,aI_bUc),aIb) ),
inference(instantiation,[status(thm)],[c_29613]) ).
cnf(c_10,plain,
( union(X0,X1,X2)
| member(g(X0,X1,X2),X0)
| member(g(X0,X1,X2),X1)
| member(g(X0,X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_75_0) ).
cnf(c_84,plain,
( union(X0,X1,X2)
| member(g(X0,X1,X2),X0)
| member(g(X0,X1,X2),X1)
| member(g(X0,X1,X2),X2) ),
inference(copy,[status(esa)],[c_10]) ).
cnf(c_29608,plain,
( member(g(aIb,aIc,aI_bUc),aIb)
| member(g(aIb,aIc,aI_bUc),aIc)
| member(g(aIb,aIc,aI_bUc),aI_bUc)
| union(aIb,aIc,aI_bUc) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_7,plain,
( ~ member(g(X0,X1,X2),X1)
| ~ member(g(X0,X1,X2),X2)
| union(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_74_0) ).
cnf(c_81,plain,
( ~ member(g(X0,X1,X2),X1)
| ~ member(g(X0,X1,X2),X2)
| union(X0,X1,X2) ),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_29605,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIc)
| ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| union(aIb,aIc,aI_bUc) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_4,plain,
( ~ member(g(X0,X1,X2),X0)
| ~ member(g(X0,X1,X2),X2)
| union(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_73_0) ).
cnf(c_78,plain,
( ~ member(g(X0,X1,X2),X0)
| ~ member(g(X0,X1,X2),X2)
| union(X0,X1,X2) ),
inference(copy,[status(esa)],[c_4]) ).
cnf(c_29602,plain,
( ~ member(g(aIb,aIc,aI_bUc),aIb)
| ~ member(g(aIb,aIc,aI_bUc),aI_bUc)
| union(aIb,aIc,aI_bUc) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_54,plain,
union(b,c,bUc),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_19_0) ).
cnf(c_55,plain,
intersection(a,b,aIb),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_18_0) ).
cnf(c_56,plain,
intersection(a,c,aIc),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_17_0) ).
cnf(c_57,plain,
intersection(a,bUc,aI_bUc),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_16_0) ).
cnf(c_58,negated_conjecture,
~ union(aIb,aIc,aI_bUc),
file('/export/starexec/sandbox/tmp/iprover_modulo_1992e5.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_661690,c_661679,c_660704,c_533428,c_475909,c_87580,c_87579,c_29927,c_29926,c_29754,c_29740,c_29739,c_29699,c_29665,c_29664,c_29608,c_29605,c_29602,c_54,c_55,c_56,c_57,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : iprover_modulo %s %d
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 00:39:57 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Running in mono-core mode
% 0.19/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.41 % Orientation found
% 0.19/0.41 % 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_165212.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_1992e5.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_1c2369 | grep -v "SZS"
% 0.19/0.44
% 0.19/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.44
% 0.19/0.44 %
% 0.19/0.44 % ------ iProver source info
% 0.19/0.44
% 0.19/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.44 % git: non_committed_changes: true
% 0.19/0.44 % git: last_make_outside_of_git: true
% 0.19/0.44
% 0.19/0.44 %
% 0.19/0.44 % ------ Input Options
% 0.19/0.44
% 0.19/0.44 % --out_options all
% 0.19/0.44 % --tptp_safe_out true
% 0.19/0.44 % --problem_path ""
% 0.19/0.44 % --include_path ""
% 0.19/0.44 % --clausifier .//eprover
% 0.19/0.44 % --clausifier_options --tstp-format
% 0.19/0.44 % --stdin false
% 0.19/0.44 % --dbg_backtrace false
% 0.19/0.44 % --dbg_dump_prop_clauses false
% 0.19/0.44 % --dbg_dump_prop_clauses_file -
% 0.19/0.44 % --dbg_out_stat false
% 0.19/0.44
% 0.19/0.44 % ------ General Options
% 0.19/0.44
% 0.19/0.44 % --fof false
% 0.19/0.44 % --time_out_real 150.
% 0.19/0.44 % --time_out_prep_mult 0.2
% 0.19/0.44 % --time_out_virtual -1.
% 0.19/0.44 % --schedule none
% 0.19/0.44 % --ground_splitting input
% 0.19/0.44 % --splitting_nvd 16
% 0.19/0.44 % --non_eq_to_eq false
% 0.19/0.44 % --prep_gs_sim true
% 0.19/0.44 % --prep_unflatten false
% 0.19/0.44 % --prep_res_sim true
% 0.19/0.44 % --prep_upred true
% 0.19/0.44 % --res_sim_input true
% 0.19/0.44 % --clause_weak_htbl true
% 0.19/0.44 % --gc_record_bc_elim false
% 0.19/0.44 % --symbol_type_check false
% 0.19/0.44 % --clausify_out false
% 0.19/0.44 % --large_theory_mode false
% 0.19/0.44 % --prep_sem_filter none
% 0.19/0.44 % --prep_sem_filter_out false
% 0.19/0.44 % --preprocessed_out false
% 0.19/0.44 % --sub_typing false
% 0.19/0.44 % --brand_transform false
% 0.19/0.44 % --pure_diseq_elim true
% 0.19/0.44 % --min_unsat_core false
% 0.19/0.44 % --pred_elim true
% 0.19/0.44 % --add_important_lit false
% 0.19/0.44 % --soft_assumptions false
% 0.19/0.44 % --reset_solvers false
% 0.19/0.44 % --bc_imp_inh []
% 0.19/0.44 % --conj_cone_tolerance 1.5
% 0.19/0.44 % --prolific_symb_bound 500
% 0.19/0.44 % --lt_threshold 2000
% 0.19/0.44
% 0.19/0.44 % ------ SAT Options
% 0.19/0.44
% 0.19/0.44 % --sat_mode false
% 0.19/0.44 % --sat_fm_restart_options ""
% 0.19/0.44 % --sat_gr_def false
% 0.19/0.44 % --sat_epr_types true
% 0.19/0.44 % --sat_non_cyclic_types false
% 0.19/0.44 % --sat_finite_models false
% 0.19/0.44 % --sat_fm_lemmas false
% 0.19/0.44 % --sat_fm_prep false
% 0.19/0.44 % --sat_fm_uc_incr true
% 0.19/0.44 % --sat_out_model small
% 0.19/0.44 % --sat_out_clauses false
% 0.19/0.44
% 0.19/0.44 % ------ QBF Options
% 0.19/0.44
% 0.19/0.44 % --qbf_mode false
% 0.19/0.44 % --qbf_elim_univ true
% 0.19/0.44 % --qbf_sk_in true
% 0.19/0.44 % --qbf_pred_elim true
% 0.19/0.44 % --qbf_split 32
% 0.19/0.44
% 0.19/0.44 % ------ BMC1 Options
% 0.19/0.44
% 0.19/0.44 % --bmc1_incremental false
% 0.19/0.44 % --bmc1_axioms reachable_all
% 0.19/0.44 % --bmc1_min_bound 0
% 0.19/0.44 % --bmc1_max_bound -1
% 0.19/0.44 % --bmc1_max_bound_default -1
% 0.19/0.44 % --bmc1_symbol_reachability true
% 0.19/0.44 % --bmc1_property_lemmas false
% 0.19/0.44 % --bmc1_k_induction false
% 0.19/0.44 % --bmc1_non_equiv_states false
% 0.19/0.44 % --bmc1_deadlock false
% 0.19/0.44 % --bmc1_ucm false
% 0.19/0.44 % --bmc1_add_unsat_core none
% 0.19/0.44 % --bmc1_unsat_core_children false
% 0.19/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.44 % --bmc1_out_stat full
% 0.19/0.44 % --bmc1_ground_init false
% 0.19/0.44 % --bmc1_pre_inst_next_state false
% 0.19/0.44 % --bmc1_pre_inst_state false
% 0.19/0.44 % --bmc1_pre_inst_reach_state false
% 0.19/0.44 % --bmc1_out_unsat_core false
% 0.19/0.44 % --bmc1_aig_witness_out false
% 0.19/0.44 % --bmc1_verbose false
% 0.19/0.44 % --bmc1_dump_clauses_tptp false
% 0.19/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.44 % --bmc1_dump_file -
% 0.19/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.44 % --bmc1_ucm_extend_mode 1
% 0.19/0.44 % --bmc1_ucm_init_mode 2
% 0.19/0.44 % --bmc1_ucm_cone_mode none
% 0.19/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.44 % --bmc1_ucm_relax_model 4
% 0.19/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.44 % --bmc1_ucm_layered_model none
% 0.19/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.44
% 0.19/0.44 % ------ AIG Options
% 0.19/0.44
% 0.19/0.44 % --aig_mode false
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation Options
% 0.19/0.44
% 0.19/0.44 % --instantiation_flag true
% 0.19/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44 % --inst_solver_per_active 750
% 0.19/0.44 % --inst_solver_calls_frac 0.5
% 0.19/0.44 % --inst_passive_queue_type priority_queues
% 0.19/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44 % --inst_passive_queues_freq [25;2]
% 0.19/0.44 % --inst_dismatching true
% 0.19/0.44 % --inst_eager_unprocessed_to_passive true
% 0.19/0.44 % --inst_prop_sim_given true
% 0.19/0.44 % --inst_prop_sim_new false
% 0.19/0.44 % --inst_orphan_elimination true
% 0.19/0.44 % --inst_learning_loop_flag true
% 0.19/0.44 % --inst_learning_start 3000
% 0.19/0.44 % --inst_learning_factor 2
% 0.19/0.44 % --inst_start_prop_sim_after_learn 3
% 0.19/0.44 % --inst_sel_renew solver
% 0.19/0.44 % --inst_lit_activity_flag true
% 0.19/0.44 % --inst_out_proof true
% 0.19/0.44
% 0.19/0.44 % ------ Resolution Options
% 0.19/0.44
% 0.19/0.44 % --resolution_flag true
% 0.19/0.44 % --res_lit_sel kbo_max
% 0.19/0.44 % --res_to_prop_solver none
% 0.19/0.44 % --res_prop_simpl_new false
% 0.19/0.44 % --res_prop_simpl_given false
% 0.19/0.44 % --res_passive_queue_type priority_queues
% 0.19/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.44 % --res_passive_queues_freq [15;5]
% 0.19/0.44 % --res_forward_subs full
% 0.19/0.44 % --res_backward_subs full
% 0.19/0.44 % --res_forward_subs_resolution true
% 0.19/0.44 % --res_backward_subs_resolution true
% 0.19/0.44 % --res_orphan_elimination false
% 0.19/0.44 % --res_time_limit 1000.
% 0.19/0.44 % --res_out_proof true
% 0.19/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_165212.s
% 0.19/0.44 % --modulo true
% 0.19/0.44
% 0.19/0.44 % ------ Combination Options
% 0.19/0.44
% 0.19/0.44 % --comb_res_mult 1000
% 0.19/0.44 % --comb_inst_mult 300
% 0.19/0.44 % ------
% 0.19/0.44
% 0.19/0.44 % ------ Parsing...% successful
% 0.19/0.44
% 0.19/0.44 % ------ 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 %
% 0.19/0.44
% 0.19/0.44 % ------ Proving...
% 0.19/0.44 % ------ Problem Properties
% 0.19/0.44
% 0.19/0.44 %
% 0.19/0.44 % EPR false
% 0.19/0.44 % Horn false
% 0.19/0.44 % Has equality false
% 0.19/0.44
% 0.19/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % % ------ Current options:
% 0.19/0.44
% 0.19/0.44 % ------ Input Options
% 0.19/0.44
% 0.19/0.44 % --out_options all
% 0.19/0.44 % --tptp_safe_out true
% 0.19/0.44 % --problem_path ""
% 0.19/0.44 % --include_path ""
% 0.19/0.44 % --clausifier .//eprover
% 0.19/0.44 % --clausifier_options --tstp-format
% 0.19/0.44 % --stdin false
% 0.19/0.44 % --dbg_backtrace false
% 0.19/0.44 % --dbg_dump_prop_clauses false
% 0.19/0.44 % --dbg_dump_prop_clauses_file -
% 0.19/0.44 % --dbg_out_stat false
% 0.19/0.44
% 0.19/0.44 % ------ General Options
% 0.19/0.44
% 0.19/0.44 % --fof false
% 0.19/0.44 % --time_out_real 150.
% 0.19/0.44 % --time_out_prep_mult 0.2
% 0.19/0.44 % --time_out_virtual -1.
% 0.19/0.44 % --schedule none
% 0.19/0.44 % --ground_splitting input
% 0.19/0.44 % --splitting_nvd 16
% 0.19/0.44 % --non_eq_to_eq false
% 0.19/0.44 % --prep_gs_sim true
% 0.19/0.44 % --prep_unflatten false
% 0.19/0.44 % --prep_res_sim true
% 0.19/0.44 % --prep_upred true
% 0.19/0.44 % --res_sim_input true
% 0.19/0.44 % --clause_weak_htbl true
% 0.19/0.44 % --gc_record_bc_elim false
% 0.19/0.44 % --symbol_type_check false
% 0.19/0.44 % --clausify_out false
% 0.19/0.44 % --large_theory_mode false
% 0.19/0.44 % --prep_sem_filter none
% 0.19/0.44 % --prep_sem_filter_out false
% 0.19/0.44 % --preprocessed_out false
% 0.19/0.44 % --sub_typing false
% 0.19/0.44 % --brand_transform false
% 0.19/0.44 % --pure_diseq_elim true
% 0.19/0.44 % --min_unsat_core false
% 0.19/0.44 % --pred_elim true
% 0.19/0.44 % --add_important_lit false
% 0.19/0.44 % --soft_assumptions false
% 0.19/0.44 % --reset_solvers false
% 0.19/0.44 % --bc_imp_inh []
% 0.19/0.44 % --conj_cone_tolerance 1.5
% 0.19/0.44 % --prolific_symb_bound 500
% 0.19/0.44 % --lt_threshold 2000
% 0.19/0.44
% 0.19/0.44 % ------ SAT Options
% 0.19/0.44
% 0.19/0.44 % --sat_mode false
% 0.19/0.44 % --sat_fm_restart_options ""
% 0.19/0.44 % --sat_gr_def false
% 0.19/0.44 % --sat_epr_types true
% 0.19/0.44 % --sat_non_cyclic_types false
% 0.19/0.44 % --sat_finite_models false
% 0.19/0.44 % --sat_fm_lemmas false
% 0.19/0.44 % --sat_fm_prep false
% 0.19/0.44 % --sat_fm_uc_incr true
% 0.19/0.44 % --sat_out_model small
% 0.19/0.44 % --sat_out_clauses false
% 0.19/0.44
% 0.19/0.44 % ------ QBF Options
% 0.19/0.44
% 0.19/0.44 % --qbf_mode false
% 0.19/0.44 % --qbf_elim_univ true
% 0.19/0.44 % --qbf_sk_in true
% 0.19/0.44 % --qbf_pred_elim true
% 0.19/0.44 % --qbf_split 32
% 0.19/0.44
% 0.19/0.44 % ------ BMC1 Options
% 0.19/0.44
% 0.19/0.44 % --bmc1_incremental false
% 0.19/0.44 % --bmc1_axioms reachable_all
% 0.19/0.44 % --bmc1_min_bound 0
% 0.19/0.44 % --bmc1_max_bound -1
% 0.19/0.44 % --bmc1_max_bound_default -1
% 0.19/0.44 % --bmc1_symbol_reachability true
% 0.19/0.44 % --bmc1_property_lemmas false
% 0.19/0.44 % --bmc1_k_induction false
% 0.19/0.44 % --bmc1_non_equiv_states false
% 0.19/0.44 % --bmc1_deadlock false
% 0.19/0.44 % --bmc1_ucm false
% 0.19/0.44 % --bmc1_add_unsat_core none
% 0.19/0.44 % --bmc1_unsat_core_children false
% 0.19/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.44 % --bmc1_out_stat full
% 0.19/0.44 % --bmc1_ground_init false
% 0.19/0.44 % --bmc1_pre_inst_next_state false
% 0.19/0.44 % --bmc1_pre_inst_state false
% 0.19/0.44 % --bmc1_pre_inst_reach_state false
% 0.19/0.44 % --bmc1_out_unsat_core false
% 0.19/0.44 % --bmc1_aig_witness_out false
% 0.19/0.44 % --bmc1_verbose false
% 0.19/0.44 % --bmc1_dump_clauses_tptp false
% 0.19/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.44 % --bmc1_dump_file -
% 0.19/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.44 % --bmc1_ucm_extend_mode 1
% 0.19/0.44 % --bmc1_ucm_init_mode 2
% 0.19/0.44 % --bmc1_ucm_cone_mode none
% 0.19/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.44 % --bmc1_ucm_relax_model 4
% 0.19/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.44 % --bmc1_ucm_layered_model none
% 0.19/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.44
% 0.19/0.44 % ------ AIG Options
% 0.19/0.44
% 0.19/0.44 % --aig_mode false
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation Options
% 0.19/0.44
% 0.19/0.44 % --instantiation_flag true
% 0.19/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44 % --inst_solver_per_active 750
% 0.19/0.44 % --inst_solver_calls_frac 0.5
% 0.19/0.44 % --inst_passive_queue_type priority_queues
% 0.19/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44 % --inst_passive_queues_freq [25;2]
% 0.19/0.44 % --inst_dismatching true
% 0.19/0.44 % --inst_eager_unprocessed_to_passive true
% 0.19/0.44 % --inst_prop_sim_given true
% 16.76/16.97 % --inst_prop_sim_new false
% 16.76/16.97 % --inst_orphan_elimination true
% 16.76/16.97 % --inst_learning_loop_flag true
% 16.76/16.97 % --inst_learning_start 3000
% 16.76/16.97 % --inst_learning_factor 2
% 16.76/16.97 % --inst_start_prop_sim_after_learn 3
% 16.76/16.97 % --inst_sel_renew solver
% 16.76/16.97 % --inst_lit_activity_flag true
% 16.76/16.97 % --inst_out_proof true
% 16.76/16.97
% 16.76/16.97 % ------ Resolution Options
% 16.76/16.97
% 16.76/16.97 % --resolution_flag true
% 16.76/16.97 % --res_lit_sel kbo_max
% 16.76/16.97 % --res_to_prop_solver none
% 16.76/16.97 % --res_prop_simpl_new false
% 16.76/16.97 % --res_prop_simpl_given false
% 16.76/16.97 % --res_passive_queue_type priority_queues
% 16.76/16.97 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 16.76/16.97 % --res_passive_queues_freq [15;5]
% 16.76/16.97 % --res_forward_subs full
% 16.76/16.97 % --res_backward_subs full
% 16.76/16.97 % --res_forward_subs_resolution true
% 16.76/16.97 % --res_backward_subs_resolution true
% 16.76/16.97 % --res_orphan_elimination false
% 16.76/16.97 % --res_time_limit 1000.
% 16.76/16.97 % --res_out_proof true
% 16.76/16.97 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_165212.s
% 16.76/16.97 % --modulo true
% 16.76/16.97
% 16.76/16.97 % ------ Combination Options
% 16.76/16.97
% 16.76/16.97 % --comb_res_mult 1000
% 16.76/16.97 % --comb_inst_mult 300
% 16.76/16.97 % ------
% 16.76/16.97
% 16.76/16.97
% 16.76/16.97
% 16.76/16.97 % ------ Proving...
% 16.76/16.97 %
% 16.76/16.97
% 16.76/16.97
% 16.76/16.97 % ------ Statistics
% 16.76/16.97
% 16.76/16.97 % ------ General
% 16.76/16.97
% 16.76/16.97 % num_of_input_clauses: 59
% 16.76/16.97 % num_of_input_neg_conjectures: 1
% 16.76/16.97 % num_of_splits: 0
% 16.76/16.97 % num_of_split_atoms: 0
% 16.76/16.97 % num_of_sem_filtered_clauses: 0
% 16.76/16.97 % num_of_subtypes: 0
% 16.76/16.97 % monotx_restored_types: 0
% 16.76/16.97 % sat_num_of_epr_types: 0
% 16.76/16.97 % sat_num_of_non_cyclic_types: 0
% 16.76/16.97 % sat_guarded_non_collapsed_types: 0
% 16.76/16.97 % is_epr: 0
% 16.76/16.97 % is_horn: 0
% 16.76/16.97 % has_eq: 0
% 16.76/16.97 % num_pure_diseq_elim: 0
% 16.76/16.97 % simp_replaced_by: 0
% 16.76/16.97 % res_preprocessed: 2
% 16.76/16.97 % prep_upred: 0
% 16.76/16.97 % prep_unflattend: 0
% 16.76/16.97 % pred_elim_cands: 0
% 16.76/16.97 % pred_elim: 0
% 16.76/16.97 % pred_elim_cl: 0
% 16.76/16.97 % pred_elim_cycles: 0
% 16.76/16.97 % forced_gc_time: 0
% 16.76/16.97 % gc_basic_clause_elim: 0
% 16.76/16.97 % parsing_time: 0.002
% 16.76/16.97 % sem_filter_time: 0.
% 16.76/16.97 % pred_elim_time: 0.
% 16.76/16.97 % out_proof_time: 0.002
% 16.76/16.97 % monotx_time: 0.
% 16.76/16.97 % subtype_inf_time: 0.
% 16.76/16.97 % unif_index_cands_time: 0.019
% 16.76/16.97 % unif_index_add_time: 0.012
% 16.76/16.97 % total_time: 16.551
% 16.76/16.97 % num_of_symbols: 40
% 16.76/16.97 % num_of_terms: 11445
% 16.76/16.97
% 16.76/16.97 % ------ Propositional Solver
% 16.76/16.97
% 16.76/16.97 % prop_solver_calls: 22
% 16.76/16.97 % prop_fast_solver_calls: 3
% 16.76/16.97 % prop_num_of_clauses: 7533
% 16.76/16.97 % prop_preprocess_simplified: 16388
% 16.76/16.97 % prop_fo_subsumed: 0
% 16.76/16.97 % prop_solver_time: 0.005
% 16.76/16.97 % prop_fast_solver_time: 0.
% 16.76/16.97 % prop_unsat_core_time: 0.001
% 16.76/16.97
% 16.76/16.97 % ------ QBF
% 16.76/16.97
% 16.76/16.97 % qbf_q_res: 0
% 16.76/16.97 % qbf_num_tautologies: 0
% 16.76/16.97 % qbf_prep_cycles: 0
% 16.76/16.97
% 16.76/16.97 % ------ BMC1
% 16.76/16.97
% 16.76/16.97 % bmc1_current_bound: -1
% 16.76/16.97 % bmc1_last_solved_bound: -1
% 16.76/16.97 % bmc1_unsat_core_size: -1
% 16.76/16.97 % bmc1_unsat_core_parents_size: -1
% 16.76/16.97 % bmc1_merge_next_fun: 0
% 16.76/16.97 % bmc1_unsat_core_clauses_time: 0.
% 16.76/16.97
% 16.76/16.97 % ------ Instantiation
% 16.76/16.97
% 16.76/16.97 % inst_num_of_clauses: 509
% 16.76/16.97 % inst_num_in_passive: 142
% 16.76/16.97 % inst_num_in_active: 195
% 16.76/16.97 % inst_num_in_unprocessed: 172
% 16.76/16.97 % inst_num_of_loops: 199
% 16.76/16.97 % inst_num_of_learning_restarts: 1
% 16.76/16.97 % inst_num_moves_active_passive: 0
% 16.76/16.97 % inst_lit_activity: 223
% 16.76/16.97 % inst_lit_activity_moves: 0
% 16.76/16.97 % inst_num_tautologies: 0
% 16.76/16.97 % inst_num_prop_implied: 0
% 16.76/16.97 % inst_num_existing_simplified: 0
% 16.76/16.97 % inst_num_eq_res_simplified: 0
% 16.76/16.97 % inst_num_child_elim: 0
% 16.76/16.97 % inst_num_of_dismatching_blockings: 57
% 16.76/16.97 % inst_num_of_non_proper_insts: 371
% 16.76/16.97 % inst_num_of_duplicates: 649
% 16.76/16.97 % inst_inst_num_from_inst_to_res: 0
% 16.76/16.97 % inst_dismatching_checking_time: 0.056
% 16.76/16.97
% 16.76/16.97 % ------ Resolution
% 16.76/16.97
% 16.76/16.97 % res_num_of_clauses: 217237
% 16.76/16.97 % res_num_in_passive: 213408
% 16.76/16.97 % res_num_in_active: 6363
% 16.76/16.97 % res_num_of_loops: 11000
% 16.76/16.97 % res_forward_subset_subsumed: 43963
% 16.76/16.97 % res_backward_subset_subsumed: 2792
% 16.76/16.97 % res_forward_subsumed: 4005
% 16.76/16.97 % res_backward_subsumed: 421
% 16.76/16.97 % res_forward_subsumption_resolution: 666
% 16.76/16.97 % res_backward_subsumption_resolution: 1
% 16.76/16.97 % res_clause_to_clause_subsumption: 2888556
% 16.76/16.97 % res_orphan_elimination: 0
% 16.76/16.97 % res_tautology_del: 2928
% 16.76/16.97 % res_num_eq_res_simplified: 0
% 16.76/16.97 % res_num_sel_changes: 0
% 16.76/16.97 % res_moves_from_active_to_pass: 0
% 16.76/16.97
% 16.76/16.97 % Status Unsatisfiable
% 16.76/16.97 % SZS status Unsatisfiable
% 16.76/16.97 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------