TSTP Solution File: GEO087-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO087-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n026.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 : Sat Jul 16 04:40:28 EDT 2022
% Result : Unsatisfiable 3.21s 3.40s
% Output : CNFRefutation 3.21s
% 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(c3_37,axiom,
inner_point(ax0_sk8(A),A),
input ).
fof(c3_37_0,plain,
! [A] :
( inner_point(ax0_sk8(A),A)
| $false ),
inference(orientation,[status(thm)],[c3_37]) ).
fof(def_lhs_atom1,axiom,
! [A] :
( lhs_atom1(A)
<=> inner_point(ax0_sk8(A),A) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A] :
( lhs_atom1(A)
| $false ),
inference(fold_definition,[status(thm)],[c3_37_0,def_lhs_atom1]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_1,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
lhs_atom1(X1),
c_0_3,
[final] ).
% End CNF derivation
cnf(c_0_4_0,axiom,
inner_point(ax0_sk8(X1),X1),
inference(unfold_definition,[status(thm)],[c_0_4,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X3,X1,X2] :
( ~ incident_c(X2,X1)
| ~ incident_c(X2,X3)
| ~ end_point(ax0_sk5(X3,X1,X2),X1)
| ~ end_point(ax0_sk5(X3,X1,X2),X3)
| meet(X2,X1,X3) ),
file('<stdin>',meet_defn_30) ).
fof(c_0_1_002,axiom,
! [X3,X1,X2] :
( ~ incident_c(ax0_sk2(X2,X1,X3),X1)
| incident_c(ax0_sk2(X2,X1,X3),X1)
| incident_c(ax0_sk2(X2,X1,X3),X2)
| X3 = sum(X1,X2) ),
file('<stdin>',sum_defn_9) ).
fof(c_0_2_003,axiom,
! [X3,X1,X2] :
( ~ incident_c(ax0_sk2(X2,X1,X3),X2)
| incident_c(ax0_sk2(X2,X1,X3),X1)
| incident_c(ax0_sk2(X2,X1,X3),X2)
| X3 = sum(X1,X2) ),
file('<stdin>',sum_defn_10) ).
fof(c_0_3_004,axiom,
! [X3,X1,X2] :
( ~ incident_c(ax0_sk2(X2,X1,X3),X1)
| ~ incident_c(ax0_sk2(X2,X1,X3),X3)
| X3 = sum(X1,X2) ),
file('<stdin>',sum_defn_11) ).
fof(c_0_4_005,axiom,
! [X3,X1,X2] :
( ~ incident_c(ax0_sk2(X2,X1,X3),X2)
| ~ incident_c(ax0_sk2(X2,X1,X3),X3)
| X3 = sum(X1,X2) ),
file('<stdin>',sum_defn_12) ).
fof(c_0_5,axiom,
! [X3,X1,X2] :
( incident_c(ax0_sk2(X2,X1,X3),X3)
| incident_c(ax0_sk2(X2,X1,X3),X1)
| incident_c(ax0_sk2(X2,X1,X3),X2)
| X3 = sum(X1,X2) ),
file('<stdin>',sum_defn_7) ).
fof(c_0_6,axiom,
! [X3,X1,X2] :
( incident_c(ax0_sk2(X2,X1,X3),X3)
| ~ incident_c(ax0_sk2(X2,X1,X3),X3)
| X3 = sum(X1,X2) ),
file('<stdin>',sum_defn_8) ).
fof(c_0_7,axiom,
! [X4,X5,X3,X1,X2] :
( ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ part_of(X5,X1)
| ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X5)
| part_of(X3,X5)
| part_of(X5,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X5)
| part_of(X5,X2) ),
file('<stdin>',c2_36) ).
fof(c_0_8,axiom,
! [X3,X1,X2] :
( ~ incident_c(X2,X1)
| ~ incident_c(X2,X3)
| incident_c(ax0_sk5(X3,X1,X2),X1)
| meet(X2,X1,X3) ),
file('<stdin>',meet_defn_28) ).
fof(c_0_9,axiom,
! [X3,X1,X2] :
( ~ incident_c(X2,X1)
| ~ incident_c(X2,X3)
| incident_c(ax0_sk5(X3,X1,X2),X3)
| meet(X2,X1,X3) ),
file('<stdin>',meet_defn_29) ).
fof(c_0_10,axiom,
! [X4,X5,X3,X1,X2] :
( ~ closed(X2)
| ~ meet(X1,X3,X5)
| X2 != sum(X3,X5)
| ~ end_point(X4,X3)
| meet(X4,X3,X5) ),
file('<stdin>',c7_43) ).
fof(c_0_11,axiom,
! [X5,X3,X1,X2] :
( ~ meet(X2,X1,X3)
| ~ incident_c(X5,X1)
| ~ incident_c(X5,X3)
| end_point(X5,X1) ),
file('<stdin>',meet_defn_26) ).
fof(c_0_12,axiom,
! [X5,X3,X1,X2] :
( ~ meet(X2,X1,X3)
| ~ incident_c(X5,X1)
| ~ incident_c(X5,X3)
| end_point(X5,X3) ),
file('<stdin>',meet_defn_27) ).
fof(c_0_13,axiom,
! [X5,X3,X1,X2] :
( ~ end_point(X2,X1)
| ~ part_of(X3,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X2,X3)
| ~ incident_c(X2,X5)
| part_of(X3,X5)
| part_of(X5,X3) ),
file('<stdin>',end_point_defn_14) ).
fof(c_0_14,axiom,
! [X1,X2] :
( ~ incident_c(X2,X1)
| ~ part_of(ax0_sk3(X1,X2),ax0_sk4(X1,X2))
| end_point(X2,X1) ),
file('<stdin>',end_point_defn_19) ).
fof(c_0_15,axiom,
! [X1,X2] :
( ~ incident_c(X2,X1)
| ~ part_of(ax0_sk4(X1,X2),ax0_sk3(X1,X2))
| end_point(X2,X1) ),
file('<stdin>',end_point_defn_20) ).
fof(c_0_16,axiom,
! [X1,X2] :
( ~ inner_point(X2,X1)
| meet(X2,ax0_sk9(X2,X1),ax0_sk10(X2,X1)) ),
file('<stdin>',c4_38) ).
fof(c_0_17,axiom,
! [X1,X2] :
( ~ incident_c(ax0_sk13(X2,X1),X2)
| ~ incident_c(ax0_sk13(X2,X1),X1)
| X1 = X2 ),
file('<stdin>',c9_48) ).
fof(c_0_18,axiom,
! [X3,X1,X2] :
( ~ meet(X2,X1,X3)
| ax0_sk12(X3,X1) = sum(X1,X3) ),
file('<stdin>',c8_44) ).
fof(c_0_19,axiom,
! [X1,X2] :
( incident_c(ax0_sk13(X2,X1),X1)
| ~ incident_c(ax0_sk13(X2,X1),X1)
| X1 = X2 ),
file('<stdin>',c9_46) ).
fof(c_0_20,axiom,
! [X1,X2] :
( ~ incident_c(ax0_sk13(X2,X1),X2)
| incident_c(ax0_sk13(X2,X1),X2)
| X1 = X2 ),
file('<stdin>',c9_47) ).
fof(c_0_21,axiom,
! [X3,X1,X2] :
( ~ meet(X2,X1,X3)
| incident_c(X2,X1) ),
file('<stdin>',meet_defn_24) ).
fof(c_0_22,axiom,
! [X3,X1,X2] :
( ~ meet(X2,X1,X3)
| incident_c(X2,X3) ),
file('<stdin>',meet_defn_25) ).
fof(c_0_23,axiom,
! [X1,X2] :
( ~ inner_point(X2,X1)
| X1 = sum(ax0_sk9(X2,X1),ax0_sk10(X2,X1)) ),
file('<stdin>',c4_39) ).
fof(c_0_24,axiom,
! [X1,X2] :
( incident_c(ax0_sk13(X2,X1),X1)
| incident_c(ax0_sk13(X2,X1),X2)
| X1 = X2 ),
file('<stdin>',c9_45) ).
fof(c_0_25,axiom,
! [X1,X2] :
( ~ incident_c(ax0_sk1(X2,X1),X1)
| part_of(X2,X1) ),
file('<stdin>',part_of_defn_3) ).
fof(c_0_26,axiom,
! [X1,X2] :
( ~ incident_c(X2,X1)
| part_of(ax0_sk3(X1,X2),X1)
| end_point(X2,X1) ),
file('<stdin>',end_point_defn_15) ).
fof(c_0_27,axiom,
! [X1,X2] :
( ~ incident_c(X2,X1)
| part_of(ax0_sk4(X1,X2),X1)
| end_point(X2,X1) ),
file('<stdin>',end_point_defn_16) ).
fof(c_0_28,axiom,
! [X1,X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,ax0_sk3(X1,X2))
| end_point(X2,X1) ),
file('<stdin>',end_point_defn_17) ).
fof(c_0_29,axiom,
! [X1,X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,ax0_sk4(X1,X2))
| end_point(X2,X1) ),
file('<stdin>',end_point_defn_18) ).
fof(c_0_30,axiom,
! [X5,X3,X1,X2] :
( X2 != sum(X1,X3)
| ~ incident_c(X5,X2)
| incident_c(X5,X1)
| incident_c(X5,X3) ),
file('<stdin>',sum_defn_4) ).
fof(c_0_31,axiom,
! [X5,X3,X1,X2] :
( ~ end_point(X2,X1)
| ~ end_point(X3,X1)
| ~ end_point(X5,X1)
| X2 = X3
| X2 = X5
| X3 = X5 ),
file('<stdin>',c5_40) ).
fof(c_0_32,axiom,
! [X1,X2] :
( ~ end_point(X2,X1)
| end_point(ax0_sk11(X2,X1),X1) ),
file('<stdin>',c6_41) ).
fof(c_0_33,axiom,
! [X5,X3,X1,X2] :
( X2 != sum(X1,X3)
| ~ incident_c(X5,X1)
| incident_c(X5,X2) ),
file('<stdin>',sum_defn_5) ).
fof(c_0_34,axiom,
! [X5,X3,X1,X2] :
( X2 != sum(X1,X3)
| ~ incident_c(X5,X3)
| incident_c(X5,X2) ),
file('<stdin>',sum_defn_6) ).
fof(c_0_35,axiom,
! [X3,X1,X2] :
( ~ part_of(X2,X1)
| ~ incident_c(X3,X2)
| incident_c(X3,X1) ),
file('<stdin>',part_of_defn_1) ).
fof(c_0_36,axiom,
! [X1,X2] :
( incident_c(ax0_sk1(X2,X1),X2)
| part_of(X2,X1) ),
file('<stdin>',part_of_defn_2) ).
fof(c_0_37,axiom,
! [X1,X2] :
( ~ incident_c(X2,X1)
| end_point(X2,X1)
| inner_point(X2,X1) ),
file('<stdin>',inner_point_defn_23) ).
fof(c_0_38,axiom,
! [X1,X2] :
( ~ end_point(X2,X1)
| X2 != ax0_sk11(X2,X1) ),
file('<stdin>',c6_42) ).
fof(c_0_39,axiom,
! [X1,X2] :
( ~ inner_point(X2,X1)
| ~ end_point(X2,X1) ),
file('<stdin>',inner_point_defn_22) ).
fof(c_0_40,axiom,
! [X1,X2] :
( ~ end_point(X2,X1)
| incident_c(X2,X1) ),
file('<stdin>',end_point_defn_13) ).
fof(c_0_41,axiom,
! [X1,X2] :
( ~ inner_point(X2,X1)
| incident_c(X2,X1) ),
file('<stdin>',inner_point_defn_21) ).
fof(c_0_42,axiom,
! [X1,X2] :
( ~ closed(X2)
| ~ end_point(X1,X2) ),
file('<stdin>',closed_defn_31) ).
fof(c_0_43,axiom,
! [X1,X2] :
( ~ part_of(X2,X1)
| X2 = X1
| open(X2) ),
file('<stdin>',c1_35) ).
fof(c_0_44,axiom,
! [X2] :
( ~ open(X2)
| end_point(ax0_sk7(X2),X2) ),
file('<stdin>',open_defn_33) ).
fof(c_0_45,axiom,
! [X1,X2] :
( ~ end_point(X2,X1)
| open(X1) ),
file('<stdin>',open_defn_34) ).
fof(c_0_46,axiom,
! [X2] :
( end_point(ax0_sk6(X2),X2)
| closed(X2) ),
file('<stdin>',closed_defn_32) ).
fof(c_0_47,plain,
! [X3,X1,X2] :
( ~ incident_c(X2,X1)
| ~ incident_c(X2,X3)
| ~ end_point(ax0_sk5(X3,X1,X2),X1)
| ~ end_point(ax0_sk5(X3,X1,X2),X3)
| meet(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_48,plain,
! [X3,X1,X2] :
( ~ incident_c(ax0_sk2(X2,X1,X3),X1)
| incident_c(ax0_sk2(X2,X1,X3),X1)
| incident_c(ax0_sk2(X2,X1,X3),X2)
| X3 = sum(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_49,plain,
! [X3,X1,X2] :
( ~ incident_c(ax0_sk2(X2,X1,X3),X2)
| incident_c(ax0_sk2(X2,X1,X3),X1)
| incident_c(ax0_sk2(X2,X1,X3),X2)
| X3 = sum(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_50,plain,
! [X3,X1,X2] :
( ~ incident_c(ax0_sk2(X2,X1,X3),X1)
| ~ incident_c(ax0_sk2(X2,X1,X3),X3)
| X3 = sum(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_51,plain,
! [X3,X1,X2] :
( ~ incident_c(ax0_sk2(X2,X1,X3),X2)
| ~ incident_c(ax0_sk2(X2,X1,X3),X3)
| X3 = sum(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_52,axiom,
! [X3,X1,X2] :
( incident_c(ax0_sk2(X2,X1,X3),X3)
| incident_c(ax0_sk2(X2,X1,X3),X1)
| incident_c(ax0_sk2(X2,X1,X3),X2)
| X3 = sum(X1,X2) ),
c_0_5 ).
fof(c_0_53,plain,
! [X3,X1,X2] :
( incident_c(ax0_sk2(X2,X1,X3),X3)
| ~ incident_c(ax0_sk2(X2,X1,X3),X3)
| X3 = sum(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_54,plain,
! [X4,X5,X3,X1,X2] :
( ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ part_of(X5,X1)
| ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X5)
| part_of(X3,X5)
| part_of(X5,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X5)
| part_of(X5,X2) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_55,plain,
! [X3,X1,X2] :
( ~ incident_c(X2,X1)
| ~ incident_c(X2,X3)
| incident_c(ax0_sk5(X3,X1,X2),X1)
| meet(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_56,plain,
! [X3,X1,X2] :
( ~ incident_c(X2,X1)
| ~ incident_c(X2,X3)
| incident_c(ax0_sk5(X3,X1,X2),X3)
| meet(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_57,plain,
! [X4,X5,X3,X1,X2] :
( ~ closed(X2)
| ~ meet(X1,X3,X5)
| X2 != sum(X3,X5)
| ~ end_point(X4,X3)
| meet(X4,X3,X5) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_58,plain,
! [X5,X3,X1,X2] :
( ~ meet(X2,X1,X3)
| ~ incident_c(X5,X1)
| ~ incident_c(X5,X3)
| end_point(X5,X1) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_59,plain,
! [X5,X3,X1,X2] :
( ~ meet(X2,X1,X3)
| ~ incident_c(X5,X1)
| ~ incident_c(X5,X3)
| end_point(X5,X3) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_60,plain,
! [X5,X3,X1,X2] :
( ~ end_point(X2,X1)
| ~ part_of(X3,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X2,X3)
| ~ incident_c(X2,X5)
| part_of(X3,X5)
| part_of(X5,X3) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_61,plain,
! [X1,X2] :
( ~ incident_c(X2,X1)
| ~ part_of(ax0_sk3(X1,X2),ax0_sk4(X1,X2))
| end_point(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_62,plain,
! [X1,X2] :
( ~ incident_c(X2,X1)
| ~ part_of(ax0_sk4(X1,X2),ax0_sk3(X1,X2))
| end_point(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_63,plain,
! [X1,X2] :
( ~ inner_point(X2,X1)
| meet(X2,ax0_sk9(X2,X1),ax0_sk10(X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_64,plain,
! [X1,X2] :
( ~ incident_c(ax0_sk13(X2,X1),X2)
| ~ incident_c(ax0_sk13(X2,X1),X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_65,plain,
! [X3,X1,X2] :
( ~ meet(X2,X1,X3)
| ax0_sk12(X3,X1) = sum(X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_66,plain,
! [X1,X2] :
( incident_c(ax0_sk13(X2,X1),X1)
| ~ incident_c(ax0_sk13(X2,X1),X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_67,plain,
! [X1,X2] :
( ~ incident_c(ax0_sk13(X2,X1),X2)
| incident_c(ax0_sk13(X2,X1),X2)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_68,plain,
! [X3,X1,X2] :
( ~ meet(X2,X1,X3)
| incident_c(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_69,plain,
! [X3,X1,X2] :
( ~ meet(X2,X1,X3)
| incident_c(X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_70,plain,
! [X1,X2] :
( ~ inner_point(X2,X1)
| X1 = sum(ax0_sk9(X2,X1),ax0_sk10(X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_71,axiom,
! [X1,X2] :
( incident_c(ax0_sk13(X2,X1),X1)
| incident_c(ax0_sk13(X2,X1),X2)
| X1 = X2 ),
c_0_24 ).
fof(c_0_72,plain,
! [X1,X2] :
( ~ incident_c(ax0_sk1(X2,X1),X1)
| part_of(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_73,plain,
! [X1,X2] :
( ~ incident_c(X2,X1)
| part_of(ax0_sk3(X1,X2),X1)
| end_point(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_74,plain,
! [X1,X2] :
( ~ incident_c(X2,X1)
| part_of(ax0_sk4(X1,X2),X1)
| end_point(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_75,plain,
! [X1,X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,ax0_sk3(X1,X2))
| end_point(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_76,plain,
! [X1,X2] :
( ~ incident_c(X2,X1)
| incident_c(X2,ax0_sk4(X1,X2))
| end_point(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_77,plain,
! [X5,X3,X1,X2] :
( X2 != sum(X1,X3)
| ~ incident_c(X5,X2)
| incident_c(X5,X1)
| incident_c(X5,X3) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_78,plain,
! [X5,X3,X1,X2] :
( ~ end_point(X2,X1)
| ~ end_point(X3,X1)
| ~ end_point(X5,X1)
| X2 = X3
| X2 = X5
| X3 = X5 ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_79,plain,
! [X1,X2] :
( ~ end_point(X2,X1)
| end_point(ax0_sk11(X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_80,plain,
! [X5,X3,X1,X2] :
( X2 != sum(X1,X3)
| ~ incident_c(X5,X1)
| incident_c(X5,X2) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_81,plain,
! [X5,X3,X1,X2] :
( X2 != sum(X1,X3)
| ~ incident_c(X5,X3)
| incident_c(X5,X2) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_82,plain,
! [X3,X1,X2] :
( ~ part_of(X2,X1)
| ~ incident_c(X3,X2)
| incident_c(X3,X1) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_83,axiom,
! [X1,X2] :
( incident_c(ax0_sk1(X2,X1),X2)
| part_of(X2,X1) ),
c_0_36 ).
fof(c_0_84,plain,
! [X1,X2] :
( ~ incident_c(X2,X1)
| end_point(X2,X1)
| inner_point(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_85,plain,
! [X1,X2] :
( ~ end_point(X2,X1)
| X2 != ax0_sk11(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_86,plain,
! [X1,X2] :
( ~ inner_point(X2,X1)
| ~ end_point(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_87,plain,
! [X1,X2] :
( ~ end_point(X2,X1)
| incident_c(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_88,plain,
! [X1,X2] :
( ~ inner_point(X2,X1)
| incident_c(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_89,plain,
! [X1,X2] :
( ~ closed(X2)
| ~ end_point(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_90,plain,
! [X1,X2] :
( ~ part_of(X2,X1)
| X2 = X1
| open(X2) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_91,plain,
! [X2] :
( ~ open(X2)
| end_point(ax0_sk7(X2),X2) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_92,plain,
! [X1,X2] :
( ~ end_point(X2,X1)
| open(X1) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_93,axiom,
! [X2] :
( end_point(ax0_sk6(X2),X2)
| closed(X2) ),
c_0_46 ).
fof(c_0_94,plain,
! [X4,X5,X6] :
( ~ incident_c(X6,X5)
| ~ incident_c(X6,X4)
| ~ end_point(ax0_sk5(X4,X5,X6),X5)
| ~ end_point(ax0_sk5(X4,X5,X6),X4)
| meet(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_95,plain,
! [X4,X5,X6] :
( ~ incident_c(ax0_sk2(X6,X5,X4),X5)
| incident_c(ax0_sk2(X6,X5,X4),X5)
| incident_c(ax0_sk2(X6,X5,X4),X6)
| X4 = sum(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_96,plain,
! [X4,X5,X6] :
( ~ incident_c(ax0_sk2(X6,X5,X4),X6)
| incident_c(ax0_sk2(X6,X5,X4),X5)
| incident_c(ax0_sk2(X6,X5,X4),X6)
| X4 = sum(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_97,plain,
! [X4,X5,X6] :
( ~ incident_c(ax0_sk2(X6,X5,X4),X5)
| ~ incident_c(ax0_sk2(X6,X5,X4),X4)
| X4 = sum(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_98,plain,
! [X4,X5,X6] :
( ~ incident_c(ax0_sk2(X6,X5,X4),X6)
| ~ incident_c(ax0_sk2(X6,X5,X4),X4)
| X4 = sum(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_99,plain,
! [X4,X5,X6] :
( incident_c(ax0_sk2(X6,X5,X4),X4)
| incident_c(ax0_sk2(X6,X5,X4),X5)
| incident_c(ax0_sk2(X6,X5,X4),X6)
| X4 = sum(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_100,plain,
! [X4,X5,X6] :
( incident_c(ax0_sk2(X6,X5,X4),X4)
| ~ incident_c(ax0_sk2(X6,X5,X4),X4)
| X4 = sum(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_101,plain,
! [X6,X7,X8,X9,X10] :
( ~ part_of(X10,X9)
| ~ part_of(X8,X9)
| ~ part_of(X7,X9)
| ~ end_point(X6,X10)
| ~ end_point(X6,X8)
| ~ end_point(X6,X7)
| part_of(X8,X7)
| part_of(X7,X8)
| part_of(X10,X8)
| part_of(X8,X10)
| part_of(X10,X7)
| part_of(X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_102,plain,
! [X4,X5,X6] :
( ~ incident_c(X6,X5)
| ~ incident_c(X6,X4)
| incident_c(ax0_sk5(X4,X5,X6),X5)
| meet(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_103,plain,
! [X4,X5,X6] :
( ~ incident_c(X6,X5)
| ~ incident_c(X6,X4)
| incident_c(ax0_sk5(X4,X5,X6),X4)
| meet(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_104,plain,
! [X6,X7,X8,X9,X10] :
( ~ closed(X10)
| ~ meet(X9,X8,X7)
| X10 != sum(X8,X7)
| ~ end_point(X6,X8)
| meet(X6,X8,X7) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_105,plain,
! [X6,X7,X8,X9] :
( ~ meet(X9,X8,X7)
| ~ incident_c(X6,X8)
| ~ incident_c(X6,X7)
| end_point(X6,X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_58])])]) ).
fof(c_0_106,plain,
! [X6,X7,X8,X9] :
( ~ meet(X9,X8,X7)
| ~ incident_c(X6,X8)
| ~ incident_c(X6,X7)
| end_point(X6,X7) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_59])])]) ).
fof(c_0_107,plain,
! [X6,X7,X8,X9] :
( ~ end_point(X9,X8)
| ~ part_of(X7,X8)
| ~ part_of(X6,X8)
| ~ incident_c(X9,X7)
| ~ incident_c(X9,X6)
| part_of(X7,X6)
| part_of(X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_60]) ).
fof(c_0_108,plain,
! [X3,X4] :
( ~ incident_c(X4,X3)
| ~ part_of(ax0_sk3(X3,X4),ax0_sk4(X3,X4))
| end_point(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_61]) ).
fof(c_0_109,plain,
! [X3,X4] :
( ~ incident_c(X4,X3)
| ~ part_of(ax0_sk4(X3,X4),ax0_sk3(X3,X4))
| end_point(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_110,plain,
! [X3,X4] :
( ~ inner_point(X4,X3)
| meet(X4,ax0_sk9(X4,X3),ax0_sk10(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_111,plain,
! [X3,X4] :
( ~ incident_c(ax0_sk13(X4,X3),X4)
| ~ incident_c(ax0_sk13(X4,X3),X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_112,plain,
! [X4,X5,X6] :
( ~ meet(X6,X5,X4)
| ax0_sk12(X4,X5) = sum(X5,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_65])])]) ).
fof(c_0_113,plain,
! [X3,X4] :
( incident_c(ax0_sk13(X4,X3),X3)
| ~ incident_c(ax0_sk13(X4,X3),X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_114,plain,
! [X3,X4] :
( ~ incident_c(ax0_sk13(X4,X3),X4)
| incident_c(ax0_sk13(X4,X3),X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_115,plain,
! [X4,X5,X6] :
( ~ meet(X6,X5,X4)
| incident_c(X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_68]) ).
fof(c_0_116,plain,
! [X4,X5,X6] :
( ~ meet(X6,X5,X4)
| incident_c(X6,X4) ),
inference(variable_rename,[status(thm)],[c_0_69]) ).
fof(c_0_117,plain,
! [X3,X4] :
( ~ inner_point(X4,X3)
| X3 = sum(ax0_sk9(X4,X3),ax0_sk10(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_70]) ).
fof(c_0_118,plain,
! [X3,X4] :
( incident_c(ax0_sk13(X4,X3),X3)
| incident_c(ax0_sk13(X4,X3),X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[c_0_71]) ).
fof(c_0_119,plain,
! [X3,X4] :
( ~ incident_c(ax0_sk1(X4,X3),X3)
| part_of(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_72]) ).
fof(c_0_120,plain,
! [X3,X4] :
( ~ incident_c(X4,X3)
| part_of(ax0_sk3(X3,X4),X3)
| end_point(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_73]) ).
fof(c_0_121,plain,
! [X3,X4] :
( ~ incident_c(X4,X3)
| part_of(ax0_sk4(X3,X4),X3)
| end_point(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_74]) ).
fof(c_0_122,plain,
! [X3,X4] :
( ~ incident_c(X4,X3)
| incident_c(X4,ax0_sk3(X3,X4))
| end_point(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_75]) ).
fof(c_0_123,plain,
! [X3,X4] :
( ~ incident_c(X4,X3)
| incident_c(X4,ax0_sk4(X3,X4))
| end_point(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_76]) ).
fof(c_0_124,plain,
! [X6,X7,X8,X9] :
( X9 != sum(X8,X7)
| ~ incident_c(X6,X9)
| incident_c(X6,X8)
| incident_c(X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_77]) ).
fof(c_0_125,plain,
! [X6,X7,X8,X9] :
( ~ end_point(X9,X8)
| ~ end_point(X7,X8)
| ~ end_point(X6,X8)
| X9 = X7
| X9 = X6
| X7 = X6 ),
inference(variable_rename,[status(thm)],[c_0_78]) ).
fof(c_0_126,plain,
! [X3,X4] :
( ~ end_point(X4,X3)
| end_point(ax0_sk11(X4,X3),X3) ),
inference(variable_rename,[status(thm)],[c_0_79]) ).
fof(c_0_127,plain,
! [X6,X7,X8,X9] :
( X9 != sum(X8,X7)
| ~ incident_c(X6,X8)
| incident_c(X6,X9) ),
inference(variable_rename,[status(thm)],[c_0_80]) ).
fof(c_0_128,plain,
! [X6,X7,X8,X9] :
( X9 != sum(X8,X7)
| ~ incident_c(X6,X7)
| incident_c(X6,X9) ),
inference(variable_rename,[status(thm)],[c_0_81]) ).
fof(c_0_129,plain,
! [X4,X5,X6] :
( ~ part_of(X6,X5)
| ~ incident_c(X4,X6)
| incident_c(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_82]) ).
fof(c_0_130,plain,
! [X3,X4] :
( incident_c(ax0_sk1(X4,X3),X4)
| part_of(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_83]) ).
fof(c_0_131,plain,
! [X3,X4] :
( ~ incident_c(X4,X3)
| end_point(X4,X3)
| inner_point(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_84]) ).
fof(c_0_132,plain,
! [X3,X4] :
( ~ end_point(X4,X3)
| X4 != ax0_sk11(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_85]) ).
fof(c_0_133,plain,
! [X3,X4] :
( ~ inner_point(X4,X3)
| ~ end_point(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_86]) ).
fof(c_0_134,plain,
! [X3,X4] :
( ~ end_point(X4,X3)
| incident_c(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_87]) ).
fof(c_0_135,plain,
! [X3,X4] :
( ~ inner_point(X4,X3)
| incident_c(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_88]) ).
fof(c_0_136,plain,
! [X3,X4] :
( ~ closed(X4)
| ~ end_point(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_89]) ).
fof(c_0_137,plain,
! [X3,X4] :
( ~ part_of(X4,X3)
| X4 = X3
| open(X4) ),
inference(variable_rename,[status(thm)],[c_0_90]) ).
fof(c_0_138,plain,
! [X3] :
( ~ open(X3)
| end_point(ax0_sk7(X3),X3) ),
inference(variable_rename,[status(thm)],[c_0_91]) ).
fof(c_0_139,plain,
! [X3,X4] :
( ~ end_point(X4,X3)
| open(X3) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_92])])]) ).
fof(c_0_140,plain,
! [X3] :
( end_point(ax0_sk6(X3),X3)
| closed(X3) ),
inference(variable_rename,[status(thm)],[c_0_93]) ).
cnf(c_0_141,plain,
( meet(X1,X2,X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_142,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_143,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_144,plain,
( X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_145,plain,
( X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_146,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_147,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_148,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_149,plain,
( meet(X1,X2,X3)
| incident_c(ax0_sk5(X3,X2,X1),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_150,plain,
( meet(X1,X2,X3)
| incident_c(ax0_sk5(X3,X2,X1),X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_151,plain,
( meet(X1,X2,X3)
| ~ end_point(X1,X2)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_152,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ meet(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_153,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_154,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| ~ part_of(X1,X4)
| ~ part_of(X2,X4)
| ~ end_point(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_155,plain,
( end_point(X1,X2)
| ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_156,plain,
( end_point(X1,X2)
| ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_157,plain,
( meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_158,plain,
( X1 = X2
| ~ incident_c(ax0_sk13(X2,X1),X1)
| ~ incident_c(ax0_sk13(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_159,plain,
( ax0_sk12(X1,X2) = sum(X2,X1)
| ~ meet(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_160,plain,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X1)
| ~ incident_c(ax0_sk13(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_161,plain,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X2)
| ~ incident_c(ax0_sk13(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_162,plain,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_163,plain,
( incident_c(X1,X2)
| ~ meet(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_164,plain,
( X1 = sum(ax0_sk9(X2,X1),ax0_sk10(X2,X1))
| ~ inner_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_165,plain,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X2)
| incident_c(ax0_sk13(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_166,plain,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_167,plain,
( end_point(X1,X2)
| part_of(ax0_sk3(X2,X1),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_168,plain,
( end_point(X1,X2)
| part_of(ax0_sk4(X2,X1),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_169,plain,
( end_point(X1,X2)
| incident_c(X1,ax0_sk3(X2,X1))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_170,plain,
( end_point(X1,X2)
| incident_c(X1,ax0_sk4(X2,X1))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_171,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,X4)
| X4 != sum(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_172,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_173,plain,
( end_point(ax0_sk11(X1,X2),X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_174,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| X2 != sum(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_175,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| X2 != sum(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_176,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ part_of(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_177,plain,
( part_of(X1,X2)
| incident_c(ax0_sk1(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_178,plain,
( inner_point(X1,X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_179,plain,
( X1 != ax0_sk11(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_180,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_181,plain,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_182,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_183,plain,
( ~ end_point(X1,X2)
| ~ closed(X2) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_184,plain,
( open(X1)
| X1 = X2
| ~ part_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_185,plain,
( end_point(ax0_sk7(X1),X1)
| ~ open(X1) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_186,plain,
( open(X1)
| ~ end_point(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_187,plain,
( closed(X1)
| end_point(ax0_sk6(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_188,plain,
( meet(X1,X2,X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
c_0_141,
[final] ).
cnf(c_0_189,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
c_0_142,
[final] ).
cnf(c_0_190,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
c_0_143,
[final] ).
cnf(c_0_191,plain,
( X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
c_0_144,
[final] ).
cnf(c_0_192,plain,
( X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
c_0_145,
[final] ).
cnf(c_0_193,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X1) ),
c_0_146,
[final] ).
cnf(c_0_194,plain,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1) ),
c_0_147,
[final] ).
cnf(c_0_195,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
c_0_148,
[final] ).
cnf(c_0_196,plain,
( meet(X1,X2,X3)
| incident_c(ax0_sk5(X3,X2,X1),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
c_0_149,
[final] ).
cnf(c_0_197,plain,
( meet(X1,X2,X3)
| incident_c(ax0_sk5(X3,X2,X1),X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
c_0_150,
[final] ).
cnf(c_0_198,plain,
( meet(X1,X2,X3)
| ~ end_point(X1,X2)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
c_0_151,
[final] ).
cnf(c_0_199,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ meet(X4,X2,X3) ),
c_0_152,
[final] ).
cnf(c_0_200,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X3,X2) ),
c_0_153,
[final] ).
cnf(c_0_201,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| ~ part_of(X1,X4)
| ~ part_of(X2,X4)
| ~ end_point(X3,X4) ),
c_0_154,
[final] ).
cnf(c_0_202,plain,
( end_point(X1,X2)
| ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1))
| ~ incident_c(X1,X2) ),
c_0_155,
[final] ).
cnf(c_0_203,plain,
( end_point(X1,X2)
| ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1))
| ~ incident_c(X1,X2) ),
c_0_156,
[final] ).
cnf(c_0_204,plain,
( meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
c_0_157,
[final] ).
cnf(c_0_205,plain,
( X1 = X2
| ~ incident_c(ax0_sk13(X2,X1),X1)
| ~ incident_c(ax0_sk13(X2,X1),X2) ),
c_0_158,
[final] ).
cnf(c_0_206,plain,
( sum(X2,X1) = ax0_sk12(X1,X2)
| ~ meet(X3,X2,X1) ),
c_0_159,
[final] ).
cnf(c_0_207,plain,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X1)
| ~ incident_c(ax0_sk13(X2,X1),X1) ),
c_0_160,
[final] ).
cnf(c_0_208,plain,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X2)
| ~ incident_c(ax0_sk13(X2,X1),X2) ),
c_0_161,
[final] ).
cnf(c_0_209,plain,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
c_0_162,
[final] ).
cnf(c_0_210,plain,
( incident_c(X1,X2)
| ~ meet(X1,X3,X2) ),
c_0_163,
[final] ).
cnf(c_0_211,plain,
( sum(ax0_sk9(X2,X1),ax0_sk10(X2,X1)) = X1
| ~ inner_point(X2,X1) ),
c_0_164,
[final] ).
cnf(c_0_212,plain,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X2)
| incident_c(ax0_sk13(X2,X1),X1) ),
c_0_165,
[final] ).
cnf(c_0_213,plain,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
c_0_166,
[final] ).
cnf(c_0_214,plain,
( end_point(X1,X2)
| part_of(ax0_sk3(X2,X1),X2)
| ~ incident_c(X1,X2) ),
c_0_167,
[final] ).
cnf(c_0_215,plain,
( end_point(X1,X2)
| part_of(ax0_sk4(X2,X1),X2)
| ~ incident_c(X1,X2) ),
c_0_168,
[final] ).
cnf(c_0_216,plain,
( end_point(X1,X2)
| incident_c(X1,ax0_sk3(X2,X1))
| ~ incident_c(X1,X2) ),
c_0_169,
[final] ).
cnf(c_0_217,plain,
( end_point(X1,X2)
| incident_c(X1,ax0_sk4(X2,X1))
| ~ incident_c(X1,X2) ),
c_0_170,
[final] ).
cnf(c_0_218,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,X4)
| X4 != sum(X3,X2) ),
c_0_171,
[final] ).
cnf(c_0_219,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
c_0_172,
[final] ).
cnf(c_0_220,plain,
( end_point(ax0_sk11(X1,X2),X2)
| ~ end_point(X1,X2) ),
c_0_173,
[final] ).
cnf(c_0_221,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| X2 != sum(X3,X4) ),
c_0_174,
[final] ).
cnf(c_0_222,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| X2 != sum(X4,X3) ),
c_0_175,
[final] ).
cnf(c_0_223,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ part_of(X3,X2) ),
c_0_176,
[final] ).
cnf(c_0_224,plain,
( part_of(X1,X2)
| incident_c(ax0_sk1(X1,X2),X1) ),
c_0_177,
[final] ).
cnf(c_0_225,plain,
( inner_point(X1,X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
c_0_178,
[final] ).
cnf(c_0_226,plain,
( ax0_sk11(X1,X2) != X1
| ~ end_point(X1,X2) ),
c_0_179,
[final] ).
cnf(c_0_227,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
c_0_180,
[final] ).
cnf(c_0_228,plain,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
c_0_181,
[final] ).
cnf(c_0_229,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
c_0_182,
[final] ).
cnf(c_0_230,plain,
( ~ end_point(X1,X2)
| ~ closed(X2) ),
c_0_183,
[final] ).
cnf(c_0_231,plain,
( open(X1)
| X1 = X2
| ~ part_of(X1,X2) ),
c_0_184,
[final] ).
cnf(c_0_232,plain,
( end_point(ax0_sk7(X1),X1)
| ~ open(X1) ),
c_0_185,
[final] ).
cnf(c_0_233,plain,
( open(X1)
| ~ end_point(X2,X1) ),
c_0_186,
[final] ).
cnf(c_0_234,plain,
( closed(X1)
| end_point(ax0_sk6(X1),X1) ),
c_0_187,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_188_0,axiom,
( meet(X1,X2,X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_1,axiom,
( ~ end_point(ax0_sk5(X3,X2,X1),X3)
| meet(X1,X2,X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_2,axiom,
( ~ end_point(ax0_sk5(X3,X2,X1),X2)
| ~ end_point(ax0_sk5(X3,X2,X1),X3)
| meet(X1,X2,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_3,axiom,
( ~ incident_c(X1,X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X2)
| ~ end_point(ax0_sk5(X3,X2,X1),X3)
| meet(X1,X2,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_4,axiom,
( ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ end_point(ax0_sk5(X3,X2,X1),X2)
| ~ end_point(ax0_sk5(X3,X2,X1),X3)
| meet(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_189_0,axiom,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_1,axiom,
( incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_2,axiom,
( incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_3,axiom,
( ~ incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_190_0,axiom,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_1,axiom,
( incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_2,axiom,
( incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_3,axiom,
( ~ incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_191_0,axiom,
( X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_1,axiom,
( ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_2,axiom,
( ~ incident_c(ax0_sk2(X3,X2,X1),X2)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| X1 = sum(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_192_0,axiom,
( X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_192_1,axiom,
( ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_192_2,axiom,
( ~ incident_c(ax0_sk2(X3,X2,X1),X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| X1 = sum(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_193_0,axiom,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_1,axiom,
( incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_2,axiom,
( incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_3,axiom,
( incident_c(ax0_sk2(X3,X2,X1),X1)
| incident_c(ax0_sk2(X3,X2,X1),X2)
| incident_c(ax0_sk2(X3,X2,X1),X3)
| X1 = sum(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_194_0,axiom,
( X1 = sum(X2,X3)
| incident_c(ax0_sk2(X3,X2,X1),X1)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_1,axiom,
( incident_c(ax0_sk2(X3,X2,X1),X1)
| X1 = sum(X2,X3)
| ~ incident_c(ax0_sk2(X3,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_2,axiom,
( ~ incident_c(ax0_sk2(X3,X2,X1),X1)
| incident_c(ax0_sk2(X3,X2,X1),X1)
| X1 = sum(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_195_0,axiom,
( part_of(X1,X2)
| part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_1,axiom,
( part_of(X2,X1)
| part_of(X1,X2)
| part_of(X3,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_2,axiom,
( part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_3,axiom,
( part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_4,axiom,
( part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_5,axiom,
( part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_6,axiom,
( ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_7,axiom,
( ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_8,axiom,
( ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_9,axiom,
( ~ part_of(X1,X5)
| ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_10,axiom,
( ~ part_of(X3,X5)
| ~ part_of(X1,X5)
| ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_11,axiom,
( ~ part_of(X2,X5)
| ~ part_of(X3,X5)
| ~ part_of(X1,X5)
| ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_196_0,axiom,
( meet(X1,X2,X3)
| incident_c(ax0_sk5(X3,X2,X1),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_1,axiom,
( incident_c(ax0_sk5(X3,X2,X1),X2)
| meet(X1,X2,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_2,axiom,
( ~ incident_c(X1,X3)
| incident_c(ax0_sk5(X3,X2,X1),X2)
| meet(X1,X2,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_3,axiom,
( ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| incident_c(ax0_sk5(X3,X2,X1),X2)
| meet(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_197_0,axiom,
( meet(X1,X2,X3)
| incident_c(ax0_sk5(X3,X2,X1),X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_197_1,axiom,
( incident_c(ax0_sk5(X3,X2,X1),X3)
| meet(X1,X2,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_197_2,axiom,
( ~ incident_c(X1,X3)
| incident_c(ax0_sk5(X3,X2,X1),X3)
| meet(X1,X2,X3)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_197_3,axiom,
( ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| incident_c(ax0_sk5(X3,X2,X1),X3)
| meet(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_198_0,axiom,
( meet(X1,X2,X3)
| ~ end_point(X1,X2)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_1,axiom,
( ~ end_point(X1,X2)
| meet(X1,X2,X3)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_2,axiom,
( X4 != sum(X2,X3)
| ~ end_point(X1,X2)
| meet(X1,X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_3,axiom,
( ~ meet(X5,X2,X3)
| X4 != sum(X2,X3)
| ~ end_point(X1,X2)
| meet(X1,X2,X3)
| ~ closed(X4) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_4,axiom,
( ~ closed(X4)
| ~ meet(X5,X2,X3)
| X4 != sum(X2,X3)
| ~ end_point(X1,X2)
| meet(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_199_0,axiom,
( end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ meet(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_199_1,axiom,
( ~ incident_c(X1,X3)
| end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ meet(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_199_2,axiom,
( ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| end_point(X1,X2)
| ~ meet(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_199_3,axiom,
( ~ meet(X4,X2,X3)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_200_0,axiom,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_200_1,axiom,
( ~ incident_c(X1,X2)
| end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ meet(X4,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_200_2,axiom,
( ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| end_point(X1,X2)
| ~ meet(X4,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_200_3,axiom,
( ~ meet(X4,X3,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_201_0,axiom,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| ~ part_of(X1,X4)
| ~ part_of(X2,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_1,axiom,
( part_of(X2,X1)
| part_of(X1,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| ~ part_of(X1,X4)
| ~ part_of(X2,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_2,axiom,
( ~ incident_c(X3,X1)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ incident_c(X3,X2)
| ~ part_of(X1,X4)
| ~ part_of(X2,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_3,axiom,
( ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ part_of(X1,X4)
| ~ part_of(X2,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_4,axiom,
( ~ part_of(X1,X4)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ part_of(X2,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_5,axiom,
( ~ part_of(X2,X4)
| ~ part_of(X1,X4)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_6,axiom,
( ~ end_point(X3,X4)
| ~ part_of(X2,X4)
| ~ part_of(X1,X4)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| part_of(X2,X1)
| part_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_202_0,axiom,
( end_point(X1,X2)
| ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1))
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_1,axiom,
( ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_2,axiom,
( ~ incident_c(X1,X2)
| ~ part_of(ax0_sk3(X2,X1),ax0_sk4(X2,X1))
| end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_203_0,axiom,
( end_point(X1,X2)
| ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1))
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_1,axiom,
( ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_2,axiom,
( ~ incident_c(X1,X2)
| ~ part_of(ax0_sk4(X2,X1),ax0_sk3(X2,X1))
| end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_204_0,axiom,
( meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2))
| ~ inner_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_1,axiom,
( ~ inner_point(X1,X2)
| meet(X1,ax0_sk9(X1,X2),ax0_sk10(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_205_0,axiom,
( X1 = X2
| ~ incident_c(ax0_sk13(X2,X1),X1)
| ~ incident_c(ax0_sk13(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_205_1,axiom,
( ~ incident_c(ax0_sk13(X2,X1),X1)
| X1 = X2
| ~ incident_c(ax0_sk13(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_205_2,axiom,
( ~ incident_c(ax0_sk13(X2,X1),X2)
| ~ incident_c(ax0_sk13(X2,X1),X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_206_0,axiom,
( sum(X2,X1) = ax0_sk12(X1,X2)
| ~ meet(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_206_1,axiom,
( ~ meet(X3,X2,X1)
| sum(X2,X1) = ax0_sk12(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_207_0,axiom,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X1)
| ~ incident_c(ax0_sk13(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_1,axiom,
( incident_c(ax0_sk13(X2,X1),X1)
| X1 = X2
| ~ incident_c(ax0_sk13(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_207_2,axiom,
( ~ incident_c(ax0_sk13(X2,X1),X1)
| incident_c(ax0_sk13(X2,X1),X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_208_0,axiom,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X2)
| ~ incident_c(ax0_sk13(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_1,axiom,
( incident_c(ax0_sk13(X2,X1),X2)
| X1 = X2
| ~ incident_c(ax0_sk13(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_208_2,axiom,
( ~ incident_c(ax0_sk13(X2,X1),X2)
| incident_c(ax0_sk13(X2,X1),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_209_0,axiom,
( incident_c(X1,X2)
| ~ meet(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_209_1,axiom,
( ~ meet(X1,X2,X3)
| incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_210_0,axiom,
( incident_c(X1,X2)
| ~ meet(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_210_1,axiom,
( ~ meet(X1,X3,X2)
| incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_211_0,axiom,
( sum(ax0_sk9(X2,X1),ax0_sk10(X2,X1)) = X1
| ~ inner_point(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_211_1,axiom,
( ~ inner_point(X2,X1)
| sum(ax0_sk9(X2,X1),ax0_sk10(X2,X1)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_212_0,axiom,
( X1 = X2
| incident_c(ax0_sk13(X2,X1),X2)
| incident_c(ax0_sk13(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_1,axiom,
( incident_c(ax0_sk13(X2,X1),X2)
| X1 = X2
| incident_c(ax0_sk13(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_212_2,axiom,
( incident_c(ax0_sk13(X2,X1),X1)
| incident_c(ax0_sk13(X2,X1),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_213_0,axiom,
( part_of(X1,X2)
| ~ incident_c(ax0_sk1(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_213_1,axiom,
( ~ incident_c(ax0_sk1(X1,X2),X2)
| part_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_214_0,axiom,
( end_point(X1,X2)
| part_of(ax0_sk3(X2,X1),X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_1,axiom,
( part_of(ax0_sk3(X2,X1),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_214_2,axiom,
( ~ incident_c(X1,X2)
| part_of(ax0_sk3(X2,X1),X2)
| end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_215_0,axiom,
( end_point(X1,X2)
| part_of(ax0_sk4(X2,X1),X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_1,axiom,
( part_of(ax0_sk4(X2,X1),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_2,axiom,
( ~ incident_c(X1,X2)
| part_of(ax0_sk4(X2,X1),X2)
| end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_216_0,axiom,
( end_point(X1,X2)
| incident_c(X1,ax0_sk3(X2,X1))
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_1,axiom,
( incident_c(X1,ax0_sk3(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_2,axiom,
( ~ incident_c(X1,X2)
| incident_c(X1,ax0_sk3(X2,X1))
| end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_217_0,axiom,
( end_point(X1,X2)
| incident_c(X1,ax0_sk4(X2,X1))
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_217_1,axiom,
( incident_c(X1,ax0_sk4(X2,X1))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_217_2,axiom,
( ~ incident_c(X1,X2)
| incident_c(X1,ax0_sk4(X2,X1))
| end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_218_0,axiom,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,X4)
| X4 != sum(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_1,axiom,
( incident_c(X1,X3)
| incident_c(X1,X2)
| ~ incident_c(X1,X4)
| X4 != sum(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_2,axiom,
( ~ incident_c(X1,X4)
| incident_c(X1,X3)
| incident_c(X1,X2)
| X4 != sum(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_218_3,axiom,
( X4 != sum(X3,X2)
| ~ incident_c(X1,X4)
| incident_c(X1,X3)
| incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_219_0,axiom,
( X1 = X2
| X3 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_1,axiom,
( X3 = X2
| X1 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_2,axiom,
( X3 = X1
| X3 = X2
| X1 = X2
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_3,axiom,
( ~ end_point(X2,X4)
| X3 = X1
| X3 = X2
| X1 = X2
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_4,axiom,
( ~ end_point(X1,X4)
| ~ end_point(X2,X4)
| X3 = X1
| X3 = X2
| X1 = X2
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_5,axiom,
( ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ end_point(X2,X4)
| X3 = X1
| X3 = X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_220_0,axiom,
( end_point(ax0_sk11(X1,X2),X2)
| ~ end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_1,axiom,
( ~ end_point(X1,X2)
| end_point(ax0_sk11(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_221_0,axiom,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| X2 != sum(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_1,axiom,
( ~ incident_c(X1,X3)
| incident_c(X1,X2)
| X2 != sum(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_221_2,axiom,
( X2 != sum(X3,X4)
| ~ incident_c(X1,X3)
| incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_222_0,axiom,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| X2 != sum(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_222_1,axiom,
( ~ incident_c(X1,X3)
| incident_c(X1,X2)
| X2 != sum(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_222_2,axiom,
( X2 != sum(X4,X3)
| ~ incident_c(X1,X3)
| incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_223_0,axiom,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ part_of(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_1,axiom,
( ~ incident_c(X1,X3)
| incident_c(X1,X2)
| ~ part_of(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_2,axiom,
( ~ part_of(X3,X2)
| ~ incident_c(X1,X3)
| incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_224_0,axiom,
( part_of(X1,X2)
| incident_c(ax0_sk1(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_1,axiom,
( incident_c(ax0_sk1(X1,X2),X1)
| part_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_225_0,axiom,
( inner_point(X1,X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_225_1,axiom,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_225_2,axiom,
( ~ incident_c(X1,X2)
| end_point(X1,X2)
| inner_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_226_0,axiom,
( ax0_sk11(X1,X2) != X1
| ~ end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_226_1,axiom,
( ~ end_point(X1,X2)
| ax0_sk11(X1,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_227_0,axiom,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_1,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_228_0,axiom,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_1,axiom,
( ~ end_point(X1,X2)
| incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_229_0,axiom,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_1,axiom,
( ~ inner_point(X1,X2)
| incident_c(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_230_0,axiom,
( ~ end_point(X1,X2)
| ~ closed(X2) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_1,axiom,
( ~ closed(X2)
| ~ end_point(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_231_0,axiom,
( open(X1)
| X1 = X2
| ~ part_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_1,axiom,
( X1 = X2
| open(X1)
| ~ part_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_2,axiom,
( ~ part_of(X1,X2)
| X1 = X2
| open(X1) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_232_0,axiom,
( end_point(ax0_sk7(X1),X1)
| ~ open(X1) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_1,axiom,
( ~ open(X1)
| end_point(ax0_sk7(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_233_0,axiom,
( open(X1)
| ~ end_point(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_1,axiom,
( ~ end_point(X2,X1)
| open(X1) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_234_0,axiom,
( closed(X1)
| end_point(ax0_sk6(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_1,axiom,
( end_point(ax0_sk6(X1),X1)
| closed(X1) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,negated_conjecture,
meet(sk16,sk14,sk15),
file('<stdin>',corollary_2_9_68) ).
fof(c_0_1_007,negated_conjecture,
part_of(sk14,sk15),
file('<stdin>',corollary_2_9_67) ).
fof(c_0_2_008,negated_conjecture,
meet(sk16,sk14,sk15),
c_0_0 ).
fof(c_0_3_009,negated_conjecture,
part_of(sk14,sk15),
c_0_1 ).
fof(c_0_4_010,negated_conjecture,
meet(sk16,sk14,sk15),
c_0_2 ).
fof(c_0_5_011,negated_conjecture,
part_of(sk14,sk15),
c_0_3 ).
cnf(c_0_6_012,negated_conjecture,
meet(sk16,sk14,sk15),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_013,negated_conjecture,
part_of(sk14,sk15),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8_014,negated_conjecture,
meet(sk16,sk14,sk15),
c_0_6,
[final] ).
cnf(c_0_9_015,negated_conjecture,
part_of(sk14,sk15),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_126,plain,
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_58c167.p',c_0_223_0) ).
cnf(c_328,plain,
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(copy,[status(esa)],[c_126]) ).
cnf(c_56236,plain,
( ~ incident_c(ax0_sk8(X0),X0)
| incident_c(ax0_sk8(X0),X1)
| ~ part_of(X0,X1) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_56639,plain,
( ~ incident_c(ax0_sk8(sk14),sk14)
| incident_c(ax0_sk8(sk14),sk15)
| ~ part_of(sk14,sk15) ),
inference(instantiation,[status(thm)],[c_56236]) ).
cnf(c_52,plain,
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| end_point(X3,X1)
| ~ incident_c(X3,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_58c167.p',c_0_199_1) ).
cnf(c_254,plain,
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| end_point(X3,X1)
| ~ incident_c(X3,X2) ),
inference(copy,[status(esa)],[c_52]) ).
cnf(c_56229,plain,
( ~ meet(X0,X1,X2)
| end_point(ax0_sk8(X1),X1)
| ~ incident_c(ax0_sk8(X1),X1)
| ~ incident_c(ax0_sk8(X1),X2) ),
inference(instantiation,[status(thm)],[c_254]) ).
cnf(c_56616,plain,
( ~ meet(sk16,sk14,sk15)
| end_point(ax0_sk8(sk14),sk14)
| ~ incident_c(ax0_sk8(sk14),sk14)
| ~ incident_c(ax0_sk8(sk14),sk15) ),
inference(instantiation,[status(thm)],[c_56229]) ).
cnf(c_140,plain,
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_58c167.p',c_0_229_0) ).
cnf(c_342,plain,
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(copy,[status(esa)],[c_140]) ).
cnf(c_56038,plain,
( incident_c(ax0_sk8(X0),X0)
| ~ inner_point(ax0_sk8(X0),X0) ),
inference(instantiation,[status(thm)],[c_342]) ).
cnf(c_56039,plain,
( incident_c(ax0_sk8(sk14),sk14)
| ~ inner_point(ax0_sk8(sk14),sk14) ),
inference(instantiation,[status(thm)],[c_56038]) ).
cnf(c_136,plain,
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_58c167.p',c_0_227_0) ).
cnf(c_338,plain,
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(copy,[status(esa)],[c_136]) ).
cnf(c_56036,plain,
( ~ end_point(ax0_sk8(X0),X0)
| ~ inner_point(ax0_sk8(X0),X0) ),
inference(instantiation,[status(thm)],[c_338]) ).
cnf(c_56037,plain,
( ~ end_point(ax0_sk8(sk14),sk14)
| ~ inner_point(ax0_sk8(sk14),sk14) ),
inference(instantiation,[status(thm)],[c_56036]) ).
cnf(c_153,plain,
inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_58c167.p',c_0_4_0) ).
cnf(c_156,plain,
inner_point(ax0_sk8(sk14),sk14),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_154,negated_conjecture,
meet(sk16,sk14,sk15),
file('/export/starexec/sandbox2/tmp/iprover_modulo_58c167.p',c_0_8) ).
cnf(c_155,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox2/tmp/iprover_modulo_58c167.p',c_0_9) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_56639,c_56616,c_56039,c_56037,c_156,c_154,c_155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO087-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 07:38:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % 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/sandbox2/tmp/iprover_proof_c7727e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_58c167.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_1505a4 | 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
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c7727e.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44 % ------ Parsing...% successful
% 0.20/0.44
% 0.20/0.44 % ------ 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 %
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % ------ Problem Properties
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % EPR false
% 0.20/0.44 % Horn false
% 0.20/0.44 % Has equality true
% 0.20/0.44
% 0.20/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % % ------ Current options:
% 0.20/0.44
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 3.21/3.39 % --inst_prop_sim_new false
% 3.21/3.39 % --inst_orphan_elimination true
% 3.21/3.39 % --inst_learning_loop_flag true
% 3.21/3.39 % --inst_learning_start 3000
% 3.21/3.39 % --inst_learning_factor 2
% 3.21/3.39 % --inst_start_prop_sim_after_learn 3
% 3.21/3.39 % --inst_sel_renew solver
% 3.21/3.39 % --inst_lit_activity_flag true
% 3.21/3.39 % --inst_out_proof true
% 3.21/3.39
% 3.21/3.39 % ------ Resolution Options
% 3.21/3.39
% 3.21/3.39 % --resolution_flag true
% 3.21/3.39 % --res_lit_sel kbo_max
% 3.21/3.39 % --res_to_prop_solver none
% 3.21/3.39 % --res_prop_simpl_new false
% 3.21/3.39 % --res_prop_simpl_given false
% 3.21/3.39 % --res_passive_queue_type priority_queues
% 3.21/3.39 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.21/3.39 % --res_passive_queues_freq [15;5]
% 3.21/3.39 % --res_forward_subs full
% 3.21/3.39 % --res_backward_subs full
% 3.21/3.39 % --res_forward_subs_resolution true
% 3.21/3.39 % --res_backward_subs_resolution true
% 3.21/3.39 % --res_orphan_elimination false
% 3.21/3.39 % --res_time_limit 1000.
% 3.21/3.39 % --res_out_proof true
% 3.21/3.39 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c7727e.s
% 3.21/3.39 % --modulo true
% 3.21/3.39
% 3.21/3.39 % ------ Combination Options
% 3.21/3.39
% 3.21/3.39 % --comb_res_mult 1000
% 3.21/3.39 % --comb_inst_mult 300
% 3.21/3.39 % ------
% 3.21/3.39
% 3.21/3.39
% 3.21/3.39
% 3.21/3.39 % ------ Proving...
% 3.21/3.39 %
% 3.21/3.39
% 3.21/3.39
% 3.21/3.39 % ------ Statistics
% 3.21/3.39
% 3.21/3.39 % ------ General
% 3.21/3.39
% 3.21/3.39 % num_of_input_clauses: 156
% 3.21/3.39 % num_of_input_neg_conjectures: 2
% 3.21/3.39 % num_of_splits: 0
% 3.21/3.39 % num_of_split_atoms: 0
% 3.21/3.39 % num_of_sem_filtered_clauses: 0
% 3.21/3.39 % num_of_subtypes: 0
% 3.21/3.39 % monotx_restored_types: 0
% 3.21/3.39 % sat_num_of_epr_types: 0
% 3.21/3.39 % sat_num_of_non_cyclic_types: 0
% 3.21/3.39 % sat_guarded_non_collapsed_types: 0
% 3.21/3.39 % is_epr: 0
% 3.21/3.39 % is_horn: 0
% 3.21/3.39 % has_eq: 1
% 3.21/3.39 % num_pure_diseq_elim: 0
% 3.21/3.39 % simp_replaced_by: 0
% 3.21/3.39 % res_preprocessed: 4
% 3.21/3.39 % prep_upred: 0
% 3.21/3.39 % prep_unflattend: 0
% 3.21/3.39 % pred_elim_cands: 0
% 3.21/3.39 % pred_elim: 0
% 3.21/3.39 % pred_elim_cl: 0
% 3.21/3.39 % pred_elim_cycles: 0
% 3.21/3.39 % forced_gc_time: 0
% 3.21/3.39 % gc_basic_clause_elim: 0
% 3.21/3.39 % parsing_time: 0.008
% 3.21/3.39 % sem_filter_time: 0.
% 3.21/3.39 % pred_elim_time: 0.
% 3.21/3.39 % out_proof_time: 0.
% 3.21/3.39 % monotx_time: 0.
% 3.21/3.39 % subtype_inf_time: 0.
% 3.21/3.39 % unif_index_cands_time: 0.002
% 3.21/3.39 % unif_index_add_time: 0.001
% 3.21/3.39 % total_time: 2.987
% 3.21/3.39 % num_of_symbols: 49
% 3.21/3.39 % num_of_terms: 11547
% 3.21/3.39
% 3.21/3.39 % ------ Propositional Solver
% 3.21/3.39
% 3.21/3.39 % prop_solver_calls: 5
% 3.21/3.39 % prop_fast_solver_calls: 6
% 3.21/3.39 % prop_num_of_clauses: 339
% 3.21/3.39 % prop_preprocess_simplified: 1360
% 3.21/3.39 % prop_fo_subsumed: 0
% 3.21/3.39 % prop_solver_time: 0.
% 3.21/3.39 % prop_fast_solver_time: 0.
% 3.21/3.39 % prop_unsat_core_time: 0.
% 3.21/3.39
% 3.21/3.39 % ------ QBF
% 3.21/3.39
% 3.21/3.39 % qbf_q_res: 0
% 3.21/3.39 % qbf_num_tautologies: 0
% 3.21/3.39 % qbf_prep_cycles: 0
% 3.21/3.39
% 3.21/3.39 % ------ BMC1
% 3.21/3.39
% 3.21/3.39 % bmc1_current_bound: -1
% 3.21/3.39 % bmc1_last_solved_bound: -1
% 3.21/3.39 % bmc1_unsat_core_size: -1
% 3.21/3.39 % bmc1_unsat_core_parents_size: -1
% 3.21/3.39 % bmc1_merge_next_fun: 0
% 3.21/3.39 % bmc1_unsat_core_clauses_time: 0.
% 3.21/3.39
% 3.21/3.39 % ------ Instantiation
% 3.21/3.39
% 3.21/3.39 % inst_num_of_clauses: 366
% 3.21/3.39 % inst_num_in_passive: 133
% 3.21/3.39 % inst_num_in_active: 206
% 3.21/3.39 % inst_num_in_unprocessed: 8
% 3.21/3.39 % inst_num_of_loops: 226
% 3.21/3.39 % inst_num_of_learning_restarts: 0
% 3.21/3.40 % inst_num_moves_active_passive: 0
% 3.21/3.40 % inst_lit_activity: 180
% 3.21/3.40 % inst_lit_activity_moves: 0
% 3.21/3.40 % inst_num_tautologies: 17
% 3.21/3.40 % inst_num_prop_implied: 0
% 3.21/3.40 % inst_num_existing_simplified: 0
% 3.21/3.40 % inst_num_eq_res_simplified: 0
% 3.21/3.40 % inst_num_child_elim: 0
% 3.21/3.40 % inst_num_of_dismatching_blockings: 110
% 3.21/3.40 % inst_num_of_non_proper_insts: 466
% 3.21/3.40 % inst_num_of_duplicates: 240
% 3.21/3.40 % inst_inst_num_from_inst_to_res: 0
% 3.21/3.40 % inst_dismatching_checking_time: 0.
% 3.21/3.40
% 3.21/3.40 % ------ Resolution
% 3.21/3.40
% 3.21/3.40 % res_num_of_clauses: 13979
% 3.21/3.40 % res_num_in_passive: 13151
% 3.21/3.40 % res_num_in_active: 710
% 3.21/3.40 % res_num_of_loops: 1000
% 3.21/3.40 % res_forward_subset_subsumed: 1691
% 3.21/3.40 % res_backward_subset_subsumed: 0
% 3.21/3.40 % res_forward_subsumed: 361
% 3.21/3.40 % res_backward_subsumed: 2
% 3.21/3.40 % res_forward_subsumption_resolution: 40
% 3.21/3.40 % res_backward_subsumption_resolution: 0
% 3.21/3.40 % res_clause_to_clause_subsumption: 102716
% 3.21/3.40 % res_orphan_elimination: 0
% 3.21/3.40 % res_tautology_del: 884
% 3.21/3.40 % res_num_eq_res_simplified: 0
% 3.21/3.40 % res_num_sel_changes: 0
% 3.21/3.40 % res_moves_from_active_to_pass: 0
% 3.21/3.40
% 3.21/3.40 % Status Unsatisfiable
% 3.21/3.40 % SZS status Unsatisfiable
% 3.21/3.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------