TSTP Solution File: SWV888-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.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 : Wed Jul 20 19:23:03 EDT 2022
% Result : Unsatisfiable 0.45s 0.74s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(cls_com_Osimps_I18_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H),
input ).
fof(cls_com_Osimps_I18_J_0_0,plain,
! [V_pname_H] :
( c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H)
| $false ),
inference(orientation,[status(thm)],[cls_com_Osimps_I18_J_0]) ).
cnf(cls_com_Osimps_I48_J_0,axiom,
c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H),
input ).
fof(cls_com_Osimps_I48_J_0_0,plain,
! [V_com1,V_com2,V_pname_H] :
( c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H)
| $false ),
inference(orientation,[status(thm)],[cls_com_Osimps_I48_J_0]) ).
cnf(cls_com_Osimps_I49_J_0,axiom,
c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2),
input ).
fof(cls_com_Osimps_I49_J_0_0,plain,
! [V_com1,V_com2,V_pname_H] :
( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2)
| $false ),
inference(orientation,[status(thm)],[cls_com_Osimps_I49_J_0]) ).
cnf(cls_id__def_0,axiom,
c_Fun_Oid(v_x,t_a) = v_x,
input ).
fof(cls_id__def_0_0,plain,
( c_Fun_Oid(v_x,t_a) = v_x
| $false ),
inference(orientation,[status(thm)],[cls_id__def_0]) ).
cnf(cls_evalc_OSkip_0,axiom,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s),
input ).
fof(cls_evalc_OSkip_0_0,plain,
! [V_s] :
( c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s)
| $false ),
inference(orientation,[status(thm)],[cls_evalc_OSkip_0]) ).
cnf(cls_com_Osimps_I19_J_0,axiom,
c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP,
input ).
fof(cls_com_Osimps_I19_J_0_0,plain,
! [V_pname_H] :
( c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP
| $false ),
inference(orientation,[status(thm)],[cls_com_Osimps_I19_J_0]) ).
cnf(cls_the_Osimps_0,axiom,
c_Option_Othe(c_Option_Ooption_OSome(V_x,T_a),T_a) = V_x,
input ).
fof(cls_the_Osimps_0_0,plain,
! [T_a,V_x] :
( c_Option_Othe(c_Option_Ooption_OSome(V_x,T_a),T_a) = V_x
| $false ),
inference(orientation,[status(thm)],[cls_the_Osimps_0]) ).
cnf(cls_com_Osimps_I12_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
input ).
fof(cls_com_Osimps_I12_J_0_0,plain,
! [V_com1_H,V_com2_H] :
( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H)
| $false ),
inference(orientation,[status(thm)],[cls_com_Osimps_I12_J_0]) ).
cnf(cls_n__not__Suc__n_0,axiom,
V_n != c_Suc(V_n),
input ).
fof(cls_n__not__Suc__n_0_0,plain,
! [V_n] :
( V_n != c_Suc(V_n)
| $false ),
inference(orientation,[status(thm)],[cls_n__not__Suc__n_0]) ).
cnf(cls_Suc__n__not__n_0,axiom,
c_Suc(V_n) != V_n,
input ).
fof(cls_Suc__n__not__n_0_0,plain,
! [V_n] :
( c_Suc(V_n) != V_n
| $false ),
inference(orientation,[status(thm)],[cls_Suc__n__not__n_0]) ).
cnf(cls_com_Osimps_I13_J_0,axiom,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
input ).
fof(cls_com_Osimps_I13_J_0_0,plain,
! [V_com1_H,V_com2_H] :
( c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP
| $false ),
inference(orientation,[status(thm)],[cls_com_Osimps_I13_J_0]) ).
cnf(cls_evaln_OSkip_0,axiom,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s),
input ).
fof(cls_evaln_OSkip_0_0,plain,
! [V_n,V_s] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s)
| $false ),
inference(orientation,[status(thm)],[cls_evaln_OSkip_0]) ).
cnf(cls_not__None__eq_1,axiom,
c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a),
input ).
fof(cls_not__None__eq_1_0,plain,
! [T_a,V_xa] :
( c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_not__None__eq_1]) ).
cnf(cls_option_Osimps_I3_J_0,axiom,
c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a),
input ).
fof(cls_option_Osimps_I3_J_0_0,plain,
! [T_a,V_a_H] :
( c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a)
| $false ),
inference(orientation,[status(thm)],[cls_option_Osimps_I3_J_0]) ).
cnf(cls_not__Some__eq_1,axiom,
c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a),
input ).
fof(cls_not__Some__eq_1_0,plain,
! [T_a,V_y] :
( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_not__Some__eq_1]) ).
cnf(cls_option_Osimps_I2_J_0,axiom,
c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a),
input ).
fof(cls_option_Osimps_I2_J_0_0,plain,
! [T_a,V_a_H] :
( c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a)
| $false ),
inference(orientation,[status(thm)],[cls_option_Osimps_I2_J_0]) ).
cnf(cls_WT_OSkip_0,axiom,
c_Com_OWT(c_Com_Ocom_OSKIP),
input ).
fof(cls_WT_OSkip_0_0,plain,
( c_Com_OWT(c_Com_Ocom_OSKIP)
| $false ),
inference(orientation,[status(thm)],[cls_WT_OSkip_0]) ).
cnf(cls_id__apply_0,axiom,
c_Fun_Oid(V_x,T_a) = V_x,
input ).
fof(cls_id__apply_0_0,plain,
! [T_a,V_x] :
( c_Fun_Oid(V_x,T_a) = V_x
| $false ),
inference(orientation,[status(thm)],[cls_id__apply_0]) ).
fof(def_lhs_atom1,axiom,
! [V_x,T_a] :
( lhs_atom1(V_x,T_a)
<=> c_Fun_Oid(V_x,T_a) = V_x ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [T_a,V_x] :
( lhs_atom1(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_id__apply_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> c_Com_OWT(c_Com_Ocom_OSKIP) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[cls_WT_OSkip_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [V_a_H,T_a] :
( lhs_atom3(V_a_H,T_a)
<=> c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [T_a,V_a_H] :
( lhs_atom3(V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_option_Osimps_I2_J_0_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [V_y,T_a] :
( lhs_atom4(V_y,T_a)
<=> c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [T_a,V_y] :
( lhs_atom4(V_y,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__Some__eq_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V_a_H,T_a] :
( lhs_atom5(V_a_H,T_a)
<=> c_Option_Ooption_OSome(V_a_H,T_a) != c_Option_Ooption_ONone(T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [T_a,V_a_H] :
( lhs_atom5(V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_option_Osimps_I3_J_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V_xa,T_a] :
( lhs_atom6(V_xa,T_a)
<=> c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [T_a,V_xa] :
( lhs_atom6(V_xa,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__None__eq_1_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V_s,V_n] :
( lhs_atom7(V_s,V_n)
<=> c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [V_n,V_s] :
( lhs_atom7(V_s,V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_evaln_OSkip_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V_com2_H,V_com1_H] :
( lhs_atom8(V_com2_H,V_com1_H)
<=> c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [V_com1_H,V_com2_H] :
( lhs_atom8(V_com2_H,V_com1_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I13_J_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V_n] :
( lhs_atom9(V_n)
<=> c_Suc(V_n) != V_n ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [V_n] :
( lhs_atom9(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_Suc__n__not__n_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V_n] :
( lhs_atom10(V_n)
<=> V_n != c_Suc(V_n) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [V_n] :
( lhs_atom10(V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_n__not__Suc__n_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V_com2_H,V_com1_H] :
( lhs_atom11(V_com2_H,V_com1_H)
<=> c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [V_com1_H,V_com2_H] :
( lhs_atom11(V_com2_H,V_com1_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I12_J_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [V_x,T_a] :
( lhs_atom12(V_x,T_a)
<=> c_Option_Othe(c_Option_Ooption_OSome(V_x,T_a),T_a) = V_x ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [T_a,V_x] :
( lhs_atom12(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_the_Osimps_0_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [V_pname_H] :
( lhs_atom13(V_pname_H)
<=> c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [V_pname_H] :
( lhs_atom13(V_pname_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I19_J_0_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [V_s] :
( lhs_atom14(V_s)
<=> c_Natural_Oevalc(c_Com_Ocom_OSKIP,V_s,V_s) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [V_s] :
( lhs_atom14(V_s)
| $false ),
inference(fold_definition,[status(thm)],[cls_evalc_OSkip_0_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
( lhs_atom15
<=> c_Fun_Oid(v_x,t_a) = v_x ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
( lhs_atom15
| $false ),
inference(fold_definition,[status(thm)],[cls_id__def_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [V_pname_H,V_com2,V_com1] :
( lhs_atom16(V_pname_H,V_com2,V_com1)
<=> c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [V_com1,V_com2,V_pname_H] :
( lhs_atom16(V_pname_H,V_com2,V_com1)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I49_J_0_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [V_pname_H,V_com2,V_com1] :
( lhs_atom17(V_pname_H,V_com2,V_com1)
<=> c_Com_Ocom_OSemi(V_com1,V_com2) != c_Com_Ocom_OBODY(V_pname_H) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [V_com1,V_com2,V_pname_H] :
( lhs_atom17(V_pname_H,V_com2,V_com1)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I48_J_0_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [V_pname_H] :
( lhs_atom18(V_pname_H)
<=> c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [V_pname_H] :
( lhs_atom18(V_pname_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I18_J_0_0,def_lhs_atom18]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X10,X11,X12] :
( lhs_atom17(X10,X11,X12)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_1,axiom,
! [X10,X11,X12] :
( lhs_atom16(X10,X11,X12)
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom12(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_3,axiom,
! [X8,X9] :
( lhs_atom11(X8,X9)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_4,axiom,
! [X8,X9] :
( lhs_atom8(X8,X9)
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_5,axiom,
! [X6,X7] :
( lhs_atom7(X6,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_6,axiom,
! [X5,X2] :
( lhs_atom6(X5,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_7,axiom,
! [X3,X2] :
( lhs_atom5(X3,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_8,axiom,
! [X4,X2] :
( lhs_atom4(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_9,axiom,
! [X3,X2] :
( lhs_atom3(X3,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_10,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_11,axiom,
! [X10] :
( lhs_atom18(X10)
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_12,axiom,
! [X6] :
( lhs_atom14(X6)
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_13,axiom,
! [X10] :
( lhs_atom13(X10)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_14,axiom,
! [X7] :
( lhs_atom10(X7)
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_15,axiom,
! [X7] :
( lhs_atom9(X7)
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_16,axiom,
( lhs_atom15
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_17,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_18,plain,
! [X10,X11,X12] : lhs_atom17(X10,X11,X12),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_19,plain,
! [X10,X11,X12] : lhs_atom16(X10,X11,X12),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_20,plain,
! [X1,X2] : lhs_atom12(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_21,plain,
! [X8,X9] : lhs_atom11(X8,X9),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_22,plain,
! [X8,X9] : lhs_atom8(X8,X9),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_23,plain,
! [X6,X7] : lhs_atom7(X6,X7),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_24,plain,
! [X5,X2] : lhs_atom6(X5,X2),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_25,plain,
! [X3,X2] : lhs_atom5(X3,X2),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_26,plain,
! [X4,X2] : lhs_atom4(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_27,plain,
! [X3,X2] : lhs_atom3(X3,X2),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_28,plain,
! [X1,X2] : lhs_atom1(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_29,plain,
! [X10] : lhs_atom18(X10),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_30,plain,
! [X6] : lhs_atom14(X6),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_31,plain,
! [X10] : lhs_atom13(X10),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_32,plain,
! [X7] : lhs_atom10(X7),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_33,plain,
! [X7] : lhs_atom9(X7),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_34,plain,
lhs_atom15,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_35,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_36,plain,
! [X13,X14,X15] : lhs_atom17(X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_37,plain,
! [X13,X14,X15] : lhs_atom16(X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_38,plain,
! [X3,X4] : lhs_atom12(X3,X4),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_39,plain,
! [X10,X11] : lhs_atom11(X10,X11),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_40,plain,
! [X10,X11] : lhs_atom8(X10,X11),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_41,plain,
! [X8,X9] : lhs_atom7(X8,X9),
inference(variable_rename,[status(thm)],[c_0_23]) ).
fof(c_0_42,plain,
! [X6,X7] : lhs_atom6(X6,X7),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_43,plain,
! [X4,X5] : lhs_atom5(X4,X5),
inference(variable_rename,[status(thm)],[c_0_25]) ).
fof(c_0_44,plain,
! [X5,X6] : lhs_atom4(X5,X6),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_45,plain,
! [X4,X5] : lhs_atom3(X4,X5),
inference(variable_rename,[status(thm)],[c_0_27]) ).
fof(c_0_46,plain,
! [X3,X4] : lhs_atom1(X3,X4),
inference(variable_rename,[status(thm)],[c_0_28]) ).
fof(c_0_47,plain,
! [X11] : lhs_atom18(X11),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_48,plain,
! [X7] : lhs_atom14(X7),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_49,plain,
! [X11] : lhs_atom13(X11),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_50,plain,
! [X8] : lhs_atom10(X8),
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_51,plain,
! [X8] : lhs_atom9(X8),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_52,plain,
lhs_atom15,
c_0_34 ).
fof(c_0_53,plain,
lhs_atom2,
c_0_35 ).
cnf(c_0_54,plain,
lhs_atom17(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,plain,
lhs_atom16(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_56,plain,
lhs_atom12(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_57,plain,
lhs_atom11(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,plain,
lhs_atom8(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_59,plain,
lhs_atom7(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_60,plain,
lhs_atom6(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_61,plain,
lhs_atom5(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_62,plain,
lhs_atom4(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_63,plain,
lhs_atom3(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_64,plain,
lhs_atom1(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_65,plain,
lhs_atom18(X1),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,plain,
lhs_atom14(X1),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_67,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_68,plain,
lhs_atom10(X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_69,plain,
lhs_atom9(X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_70,plain,
lhs_atom15,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_71,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_72,plain,
lhs_atom17(X1,X2,X3),
c_0_54,
[final] ).
cnf(c_0_73,plain,
lhs_atom16(X1,X2,X3),
c_0_55,
[final] ).
cnf(c_0_74,plain,
lhs_atom12(X1,X2),
c_0_56,
[final] ).
cnf(c_0_75,plain,
lhs_atom11(X1,X2),
c_0_57,
[final] ).
cnf(c_0_76,plain,
lhs_atom8(X1,X2),
c_0_58,
[final] ).
cnf(c_0_77,plain,
lhs_atom7(X1,X2),
c_0_59,
[final] ).
cnf(c_0_78,plain,
lhs_atom6(X1,X2),
c_0_60,
[final] ).
cnf(c_0_79,plain,
lhs_atom5(X1,X2),
c_0_61,
[final] ).
cnf(c_0_80,plain,
lhs_atom4(X1,X2),
c_0_62,
[final] ).
cnf(c_0_81,plain,
lhs_atom3(X1,X2),
c_0_63,
[final] ).
cnf(c_0_82,plain,
lhs_atom1(X1,X2),
c_0_64,
[final] ).
cnf(c_0_83,plain,
lhs_atom18(X1),
c_0_65,
[final] ).
cnf(c_0_84,plain,
lhs_atom14(X1),
c_0_66,
[final] ).
cnf(c_0_85,plain,
lhs_atom13(X1),
c_0_67,
[final] ).
cnf(c_0_86,plain,
lhs_atom10(X1),
c_0_68,
[final] ).
cnf(c_0_87,plain,
lhs_atom9(X1),
c_0_69,
[final] ).
cnf(c_0_88,plain,
lhs_atom15,
c_0_70,
[final] ).
cnf(c_0_89,plain,
lhs_atom2,
c_0_71,
[final] ).
% End CNF derivation
cnf(c_0_72_0,axiom,
c_Com_Ocom_OSemi(X3,X2) != c_Com_Ocom_OBODY(X1),
inference(unfold_definition,[status(thm)],[c_0_72,def_lhs_atom17]) ).
cnf(c_0_73_0,axiom,
c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSemi(X3,X2),
inference(unfold_definition,[status(thm)],[c_0_73,def_lhs_atom16]) ).
cnf(c_0_74_0,axiom,
c_Option_Othe(c_Option_Ooption_OSome(X1,X2),X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_74,def_lhs_atom12]) ).
cnf(c_0_75_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X2,X1),
inference(unfold_definition,[status(thm)],[c_0_75,def_lhs_atom11]) ).
cnf(c_0_76_0,axiom,
c_Com_Ocom_OSemi(X2,X1) != c_Com_Ocom_OSKIP,
inference(unfold_definition,[status(thm)],[c_0_76,def_lhs_atom8]) ).
cnf(c_0_77_0,axiom,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
inference(unfold_definition,[status(thm)],[c_0_77,def_lhs_atom7]) ).
cnf(c_0_78_0,axiom,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
inference(unfold_definition,[status(thm)],[c_0_78,def_lhs_atom6]) ).
cnf(c_0_79_0,axiom,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
inference(unfold_definition,[status(thm)],[c_0_79,def_lhs_atom5]) ).
cnf(c_0_80_0,axiom,
c_Option_Ooption_ONone(X2) != c_Option_Ooption_OSome(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_80,def_lhs_atom4]) ).
cnf(c_0_81_0,axiom,
c_Option_Ooption_ONone(X2) != c_Option_Ooption_OSome(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_81,def_lhs_atom3]) ).
cnf(c_0_82_0,axiom,
c_Fun_Oid(X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_82,def_lhs_atom1]) ).
cnf(c_0_83_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X1),
inference(unfold_definition,[status(thm)],[c_0_83,def_lhs_atom18]) ).
cnf(c_0_84_0,axiom,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
inference(unfold_definition,[status(thm)],[c_0_84,def_lhs_atom14]) ).
cnf(c_0_85_0,axiom,
c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSKIP,
inference(unfold_definition,[status(thm)],[c_0_85,def_lhs_atom13]) ).
cnf(c_0_86_0,axiom,
X1 != c_Suc(X1),
inference(unfold_definition,[status(thm)],[c_0_86,def_lhs_atom10]) ).
cnf(c_0_87_0,axiom,
c_Suc(X1) != X1,
inference(unfold_definition,[status(thm)],[c_0_87,def_lhs_atom9]) ).
cnf(c_0_88_0,axiom,
c_Fun_Oid(v_x,t_a) = v_x,
inference(unfold_definition,[status(thm)],[c_0_88,def_lhs_atom15]) ).
cnf(c_0_89_0,axiom,
c_Com_OWT(c_Com_Ocom_OSKIP),
inference(unfold_definition,[status(thm)],[c_0_89,def_lhs_atom2]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X2,X3,X5,X19,X12] :
( c_Natural_Oevaln(X19,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X12,X19,X5,X3,X2),X5,X2)
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X12,X19),X3,X5,X2) ),
file('<stdin>',cls_evaln__elim__cases_I4_J_1) ).
fof(c_0_1_002,axiom,
! [X2,X3,X5,X19,X12] :
( c_Natural_Oevaln(X12,X3,X5,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X12,X19,X5,X3,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X12,X19),X3,X5,X2) ),
file('<stdin>',cls_evaln__elim__cases_I4_J_0) ).
fof(c_0_2_003,axiom,
! [X8,X3,X5,X14] :
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X14),tc_Com_Ocom),X3,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X14,X5,X3,X8),X8)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X14),X3,X5,X8) ),
file('<stdin>',cls_evaln__elim__cases_I6_J_1) ).
fof(c_0_3_004,axiom,
! [X11,X8,X9,X5,X12,X13] :
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X13,X12),X9,X5,X11)
| ~ c_Natural_Oevaln(X12,X8,X5,X11)
| ~ c_Natural_Oevaln(X13,X9,X5,X8) ),
file('<stdin>',cls_evaln_OSemi_0) ).
fof(c_0_4_005,axiom,
! [X8,X3,X5,X14] :
( X5 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X14,X5,X3,X8))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X14),X3,X5,X8) ),
file('<stdin>',cls_evaln__elim__cases_I6_J_0) ).
fof(c_0_5_006,axiom,
! [X8,X9,X10,X5] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X10),X9,c_Suc(X5),X8)
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X10),tc_Com_Ocom),X9,X5,X8) ),
file('<stdin>',cls_evaln_OBody_0) ).
fof(c_0_6_007,axiom,
! [X2,X3,X19,X12] :
( c_Natural_Oevalc(X19,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X12,X19,X3,X2),X2)
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X12,X19),X3,X2) ),
file('<stdin>',cls_evalc__elim__cases_I4_J_1) ).
fof(c_0_7_008,axiom,
! [X2,X3,X19,X12] :
( c_Natural_Oevalc(X12,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X12,X19,X3,X2))
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X12,X19),X3,X2) ),
file('<stdin>',cls_evalc__elim__cases_I4_J_0) ).
fof(c_0_8_009,axiom,
! [X20,X3,X5,X4] :
( c_Natural_Oevaln(X4,X3,c_Suc(X5),X20)
| ~ c_Natural_Oevaln(X4,X3,X5,X20) ),
file('<stdin>',cls_evaln__Suc_0) ).
fof(c_0_9_010,axiom,
! [X2,X3,X5,X4] :
( c_Natural_Oevalc(X4,X3,X2)
| ~ c_Natural_Oevaln(X4,X3,X5,X2) ),
file('<stdin>',cls_evaln__evalc_0) ).
fof(c_0_10_011,axiom,
! [X1,X2,X3,X4] :
( c_Natural_Oevalc(X4,X3,X2)
| ~ c_Natural_Oevaln(X4,X3,X1,X2) ),
file('<stdin>',cls_eval__eq_1) ).
fof(c_0_11_012,axiom,
! [X2,X3,X4] :
( c_Natural_Oevaln(X4,X3,c_Natural_Osko__Natural__Xeval__eq__1__1(X4,X3,X2),X2)
| ~ c_Natural_Oevalc(X4,X3,X2) ),
file('<stdin>',cls_eval__eq_0) ).
fof(c_0_12_013,axiom,
! [X2,X3,X4] :
( c_Natural_Oevaln(X4,X3,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X4,X3,X2),X2)
| ~ c_Natural_Oevalc(X4,X3,X2) ),
file('<stdin>',cls_evalc__evaln_0) ).
fof(c_0_13_014,axiom,
! [X2,X3,X5] :
( X2 = X3
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X3,X5,X2) ),
file('<stdin>',cls_evaln__elim__cases_I1_J_0) ).
fof(c_0_14_015,axiom,
! [X11,X8,X9,X12,X13] :
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X13,X12),X9,X11)
| ~ c_Natural_Oevalc(X12,X8,X11)
| ~ c_Natural_Oevalc(X13,X9,X8) ),
file('<stdin>',cls_evalc_OSemi_0) ).
fof(c_0_15_016,axiom,
! [X8,X9,X10] :
( c_Natural_Oevalc(c_Com_Ocom_OBODY(X10),X9,X8)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X10),tc_Com_Ocom),X9,X8) ),
file('<stdin>',cls_evalc_OBody_0) ).
fof(c_0_16_017,axiom,
! [X8,X3,X14] :
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X14),tc_Com_Ocom),X3,X8)
| ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(X14),X3,X8) ),
file('<stdin>',cls_evalc__elim__cases_I6_J_0) ).
fof(c_0_17_018,axiom,
! [X15,X2,X3,X4] :
( X15 = X2
| ~ c_Natural_Oevalc(X4,X3,X15)
| ~ c_Natural_Oevalc(X4,X3,X2) ),
file('<stdin>',cls_com__det_0) ).
fof(c_0_18_019,axiom,
! [X2,X3] :
( X2 = X3
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X3,X2) ),
file('<stdin>',cls_evalc__elim__cases_I1_J_0) ).
fof(c_0_19_020,axiom,
! [X19,X12] :
( c_Com_OWT(X19)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X12,X19)) ),
file('<stdin>',cls_WTs__elim__cases_I4_J_1) ).
fof(c_0_20_021,axiom,
! [X19,X12] :
( c_Com_OWT(X12)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X12,X19)) ),
file('<stdin>',cls_WTs__elim__cases_I4_J_0) ).
fof(c_0_21_022,axiom,
! [X25,X26,X27,X28] :
( c_Com_Ocom_OSemi(X28,X26) != c_Com_Ocom_OSemi(X27,X25)
| X26 = X25 ),
file('<stdin>',cls_com_Osimps_I3_J_1) ).
fof(c_0_22_023,axiom,
! [X25,X26,X27,X28] :
( c_Com_Ocom_OSemi(X28,X26) != c_Com_Ocom_OSemi(X27,X25)
| X28 = X27 ),
file('<stdin>',cls_com_Osimps_I3_J_0) ).
fof(c_0_23_024,axiom,
! [X23,X24,X17] :
( c_Option_Ooption_OSome(X24,X17) != c_Option_Ooption_OSome(X23,X17)
| X24 = X23 ),
file('<stdin>',cls_option_Oinject_0) ).
fof(c_0_24_025,axiom,
! [X29,X17] :
( X29 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X29,X17),X17)
| X29 = c_Option_Ooption_ONone(X17) ),
file('<stdin>',cls_option_Onchotomy_0) ).
fof(c_0_25_026,axiom,
! [X1,X17] :
( X1 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X17),X17)
| X1 = c_Option_Ooption_ONone(X17) ),
file('<stdin>',cls_not__None__eq_0) ).
fof(c_0_26_027,axiom,
! [X1,X17] :
( X1 = c_Option_Ooption_ONone(X17)
| X1 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X17),X17) ),
file('<stdin>',cls_not__Some__eq_0) ).
fof(c_0_27_028,axiom,
! [X16,X17] :
( X16 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X16,X17),X17)
| X16 = c_Option_Ooption_ONone(X17) ),
file('<stdin>',cls_option_Oexhaust_0) ).
fof(c_0_28_029,axiom,
! [X12,X13] :
( c_Com_OWT(c_Com_Ocom_OSemi(X13,X12))
| ~ c_Com_OWT(X12)
| ~ c_Com_OWT(X13) ),
file('<stdin>',cls_WT_OSemi_0) ).
fof(c_0_29_030,axiom,
! [X14] :
( c_Com_Obody(X14) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X14),tc_Com_Ocom)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X14)) ),
file('<stdin>',cls_WTs__elim__cases_I7_J_0) ).
fof(c_0_30_031,axiom,
! [X10,X18] :
( c_Com_Obody(X10) != c_Option_Ooption_OSome(X18,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X18) ),
file('<stdin>',cls_WT__bodiesD_0) ).
fof(c_0_31_032,axiom,
! [X10] :
( c_Com_OWT(c_Com_Ocom_OBODY(X10))
| c_Com_Obody(X10) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
file('<stdin>',cls_WT_OBody_0) ).
fof(c_0_32_033,axiom,
! [X16,X1] :
( c_Suc(X1) != c_Suc(X16)
| X1 = X16 ),
file('<stdin>',cls_Suc__inject_0) ).
fof(c_0_33_034,axiom,
! [X21,X22] :
( c_Suc(X22) != c_Suc(X21)
| X22 = X21 ),
file('<stdin>',cls_nat_Oinject_0) ).
fof(c_0_34_035,axiom,
! [X6,X7] :
( c_Com_Ocom_OBODY(X7) != c_Com_Ocom_OBODY(X6)
| X7 = X6 ),
file('<stdin>',cls_com_Osimps_I6_J_0) ).
fof(c_0_35_036,plain,
! [X2,X3,X5,X19,X12] :
( c_Natural_Oevaln(X19,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X12,X19,X5,X3,X2),X5,X2)
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X12,X19),X3,X5,X2) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_36_037,plain,
! [X2,X3,X5,X19,X12] :
( c_Natural_Oevaln(X12,X3,X5,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X12,X19,X5,X3,X2))
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X12,X19),X3,X5,X2) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_37_038,plain,
! [X8,X3,X5,X14] :
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X14),tc_Com_Ocom),X3,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X14,X5,X3,X8),X8)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X14),X3,X5,X8) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_38_039,plain,
! [X11,X8,X9,X5,X12,X13] :
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X13,X12),X9,X5,X11)
| ~ c_Natural_Oevaln(X12,X8,X5,X11)
| ~ c_Natural_Oevaln(X13,X9,X5,X8) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_39_040,plain,
! [X8,X3,X5,X14] :
( X5 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X14,X5,X3,X8))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X14),X3,X5,X8) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_40_041,plain,
! [X8,X9,X10,X5] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X10),X9,c_Suc(X5),X8)
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X10),tc_Com_Ocom),X9,X5,X8) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_41_042,plain,
! [X2,X3,X19,X12] :
( c_Natural_Oevalc(X19,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X12,X19,X3,X2),X2)
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X12,X19),X3,X2) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_42_043,plain,
! [X2,X3,X19,X12] :
( c_Natural_Oevalc(X12,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X12,X19,X3,X2))
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X12,X19),X3,X2) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_43_044,plain,
! [X20,X3,X5,X4] :
( c_Natural_Oevaln(X4,X3,c_Suc(X5),X20)
| ~ c_Natural_Oevaln(X4,X3,X5,X20) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_44_045,plain,
! [X2,X3,X5,X4] :
( c_Natural_Oevalc(X4,X3,X2)
| ~ c_Natural_Oevaln(X4,X3,X5,X2) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_45_046,plain,
! [X1,X2,X3,X4] :
( c_Natural_Oevalc(X4,X3,X2)
| ~ c_Natural_Oevaln(X4,X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_46_047,plain,
! [X2,X3,X4] :
( c_Natural_Oevaln(X4,X3,c_Natural_Osko__Natural__Xeval__eq__1__1(X4,X3,X2),X2)
| ~ c_Natural_Oevalc(X4,X3,X2) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_47_048,plain,
! [X2,X3,X4] :
( c_Natural_Oevaln(X4,X3,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X4,X3,X2),X2)
| ~ c_Natural_Oevalc(X4,X3,X2) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_48_049,plain,
! [X2,X3,X5] :
( X2 = X3
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X3,X5,X2) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_49_050,plain,
! [X11,X8,X9,X12,X13] :
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X13,X12),X9,X11)
| ~ c_Natural_Oevalc(X12,X8,X11)
| ~ c_Natural_Oevalc(X13,X9,X8) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_50_051,plain,
! [X8,X9,X10] :
( c_Natural_Oevalc(c_Com_Ocom_OBODY(X10),X9,X8)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X10),tc_Com_Ocom),X9,X8) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_51_052,plain,
! [X8,X3,X14] :
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X14),tc_Com_Ocom),X3,X8)
| ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(X14),X3,X8) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_52_053,plain,
! [X15,X2,X3,X4] :
( X15 = X2
| ~ c_Natural_Oevalc(X4,X3,X15)
| ~ c_Natural_Oevalc(X4,X3,X2) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_53_054,plain,
! [X2,X3] :
( X2 = X3
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X3,X2) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_54_055,plain,
! [X19,X12] :
( c_Com_OWT(X19)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X12,X19)) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_55_056,plain,
! [X19,X12] :
( c_Com_OWT(X12)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X12,X19)) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_56_057,axiom,
! [X25,X26,X27,X28] :
( c_Com_Ocom_OSemi(X28,X26) != c_Com_Ocom_OSemi(X27,X25)
| X26 = X25 ),
c_0_21 ).
fof(c_0_57_058,axiom,
! [X25,X26,X27,X28] :
( c_Com_Ocom_OSemi(X28,X26) != c_Com_Ocom_OSemi(X27,X25)
| X28 = X27 ),
c_0_22 ).
fof(c_0_58_059,axiom,
! [X23,X24,X17] :
( c_Option_Ooption_OSome(X24,X17) != c_Option_Ooption_OSome(X23,X17)
| X24 = X23 ),
c_0_23 ).
fof(c_0_59_060,axiom,
! [X29,X17] :
( X29 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X29,X17),X17)
| X29 = c_Option_Ooption_ONone(X17) ),
c_0_24 ).
fof(c_0_60_061,axiom,
! [X1,X17] :
( X1 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X17),X17)
| X1 = c_Option_Ooption_ONone(X17) ),
c_0_25 ).
fof(c_0_61_062,axiom,
! [X1,X17] :
( X1 = c_Option_Ooption_ONone(X17)
| X1 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X17),X17) ),
c_0_26 ).
fof(c_0_62_063,axiom,
! [X16,X17] :
( X16 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X16,X17),X17)
| X16 = c_Option_Ooption_ONone(X17) ),
c_0_27 ).
fof(c_0_63_064,plain,
! [X12,X13] :
( c_Com_OWT(c_Com_Ocom_OSemi(X13,X12))
| ~ c_Com_OWT(X12)
| ~ c_Com_OWT(X13) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_64_065,plain,
! [X14] :
( c_Com_Obody(X14) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X14),tc_Com_Ocom)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X14)) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_65_066,plain,
! [X10,X18] :
( c_Com_Obody(X10) != c_Option_Ooption_OSome(X18,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X18) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_66_067,axiom,
! [X10] :
( c_Com_OWT(c_Com_Ocom_OBODY(X10))
| c_Com_Obody(X10) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
c_0_31 ).
fof(c_0_67_068,axiom,
! [X16,X1] :
( c_Suc(X1) != c_Suc(X16)
| X1 = X16 ),
c_0_32 ).
fof(c_0_68_069,axiom,
! [X21,X22] :
( c_Suc(X22) != c_Suc(X21)
| X22 = X21 ),
c_0_33 ).
fof(c_0_69_070,axiom,
! [X6,X7] :
( c_Com_Ocom_OBODY(X7) != c_Com_Ocom_OBODY(X6)
| X7 = X6 ),
c_0_34 ).
fof(c_0_70_071,plain,
! [X20,X21,X22,X23,X24] :
( c_Natural_Oevaln(X23,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X24,X23,X22,X21,X20),X22,X20)
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X24,X23),X21,X22,X20) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_71_072,plain,
! [X20,X21,X22,X23,X24] :
( c_Natural_Oevaln(X24,X21,X22,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X24,X23,X22,X21,X20))
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X24,X23),X21,X22,X20) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_72_073,plain,
! [X15,X16,X17,X18] :
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X18),tc_Com_Ocom),X16,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X18,X17,X16,X15),X15)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X18),X16,X17,X15) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_73_074,plain,
! [X14,X15,X16,X17,X18,X19] :
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X19,X18),X16,X17,X14)
| ~ c_Natural_Oevaln(X18,X15,X17,X14)
| ~ c_Natural_Oevaln(X19,X16,X17,X15) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_74_075,plain,
! [X15,X16,X17,X18] :
( X17 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X18,X17,X16,X15))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X18),X16,X17,X15) ),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_75_076,plain,
! [X11,X12,X13,X14] :
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X13),X12,c_Suc(X14),X11)
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X13),tc_Com_Ocom),X12,X14,X11) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_76_077,plain,
! [X20,X21,X22,X23] :
( c_Natural_Oevalc(X22,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X23,X22,X21,X20),X20)
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X23,X22),X21,X20) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_77_078,plain,
! [X20,X21,X22,X23] :
( c_Natural_Oevalc(X23,X21,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X23,X22,X21,X20))
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X23,X22),X21,X20) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_78_079,plain,
! [X21,X22,X23,X24] :
( c_Natural_Oevaln(X24,X22,c_Suc(X23),X21)
| ~ c_Natural_Oevaln(X24,X22,X23,X21) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_79_080,plain,
! [X6,X7,X8,X9] :
( c_Natural_Oevalc(X9,X7,X6)
| ~ c_Natural_Oevaln(X9,X7,X8,X6) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_80_081,plain,
! [X5,X6,X7,X8] :
( c_Natural_Oevalc(X8,X7,X6)
| ~ c_Natural_Oevaln(X8,X7,X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
fof(c_0_81_082,plain,
! [X5,X6,X7] :
( c_Natural_Oevaln(X7,X6,c_Natural_Osko__Natural__Xeval__eq__1__1(X7,X6,X5),X5)
| ~ c_Natural_Oevalc(X7,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_82_083,plain,
! [X5,X6,X7] :
( c_Natural_Oevaln(X7,X6,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X7,X6,X5),X5)
| ~ c_Natural_Oevalc(X7,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_83_084,plain,
! [X6,X7,X8] :
( X6 = X7
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X7,X8,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_48])])]) ).
fof(c_0_84_085,plain,
! [X14,X15,X16,X17,X18] :
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X18,X17),X16,X14)
| ~ c_Natural_Oevalc(X17,X15,X14)
| ~ c_Natural_Oevalc(X18,X16,X15) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_85_086,plain,
! [X11,X12,X13] :
( c_Natural_Oevalc(c_Com_Ocom_OBODY(X13),X12,X11)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X13),tc_Com_Ocom),X12,X11) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_86_087,plain,
! [X15,X16,X17] :
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X17),tc_Com_Ocom),X16,X15)
| ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(X17),X16,X15) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_87_088,plain,
! [X16,X17,X18,X19] :
( X16 = X17
| ~ c_Natural_Oevalc(X19,X18,X16)
| ~ c_Natural_Oevalc(X19,X18,X17) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_52])])]) ).
fof(c_0_88_089,plain,
! [X4,X5] :
( X4 = X5
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_89_090,plain,
! [X20,X21] :
( c_Com_OWT(X20)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X21,X20)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_54])])]) ).
fof(c_0_90,plain,
! [X20,X21] :
( c_Com_OWT(X21)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X21,X20)) ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_91,plain,
! [X29,X30,X31,X32] :
( c_Com_Ocom_OSemi(X32,X30) != c_Com_Ocom_OSemi(X31,X29)
| X30 = X29 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_56])])]) ).
fof(c_0_92,plain,
! [X29,X30,X31,X32] :
( c_Com_Ocom_OSemi(X32,X30) != c_Com_Ocom_OSemi(X31,X29)
| X32 = X31 ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_93,plain,
! [X25,X26,X27] :
( c_Option_Ooption_OSome(X26,X27) != c_Option_Ooption_OSome(X25,X27)
| X26 = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_58])])]) ).
fof(c_0_94,plain,
! [X30,X31] :
( X30 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X30,X31),X31)
| X30 = c_Option_Ooption_ONone(X31) ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_95,plain,
! [X18,X19] :
( X18 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X18,X19),X19)
| X18 = c_Option_Ooption_ONone(X19) ),
inference(variable_rename,[status(thm)],[c_0_60]) ).
fof(c_0_96,plain,
! [X18,X19] :
( X18 = c_Option_Ooption_ONone(X19)
| X18 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X18,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_61]) ).
fof(c_0_97,plain,
! [X18,X19] :
( X18 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X18,X19),X19)
| X18 = c_Option_Ooption_ONone(X19) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_98,plain,
! [X14,X15] :
( c_Com_OWT(c_Com_Ocom_OSemi(X15,X14))
| ~ c_Com_OWT(X14)
| ~ c_Com_OWT(X15) ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_99,plain,
! [X15] :
( c_Com_Obody(X15) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X15),tc_Com_Ocom)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X15)) ),
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_100,plain,
! [X19,X20] :
( c_Com_Obody(X19) != c_Option_Ooption_OSome(X20,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X20) ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
fof(c_0_101,plain,
! [X11] :
( c_Com_OWT(c_Com_Ocom_OBODY(X11))
| c_Com_Obody(X11) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_102,plain,
! [X17,X18] :
( c_Suc(X18) != c_Suc(X17)
| X18 = X17 ),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_103,plain,
! [X23,X24] :
( c_Suc(X24) != c_Suc(X23)
| X24 = X23 ),
inference(variable_rename,[status(thm)],[c_0_68]) ).
fof(c_0_104,plain,
! [X8,X9] :
( c_Com_Ocom_OBODY(X9) != c_Com_Ocom_OBODY(X8)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_69]) ).
cnf(c_0_105,plain,
( c_Natural_Oevaln(X2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5),X4,X5)
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_106,plain,
( c_Natural_Oevaln(X1,X3,X4,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5))
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_107,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_108,plain,
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
| ~ c_Natural_Oevaln(X1,X2,X3,X4)
| ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_109,plain,
( X3 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_110,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_111,plain,
( c_Natural_Oevalc(X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4),X4)
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_112,plain,
( c_Natural_Oevalc(X1,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4))
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_113,plain,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_114,plain,
( c_Natural_Oevalc(X1,X2,X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_115,plain,
( c_Natural_Oevalc(X1,X2,X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_116,plain,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)
| ~ c_Natural_Oevalc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_117,plain,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)
| ~ c_Natural_Oevalc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_118,plain,
( X3 = X1
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_119,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5)
| ~ c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevalc(X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_120,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_121,plain,
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3)
| ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_122,plain,
( X4 = X3
| ~ c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevalc(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_123,plain,
( X2 = X1
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_124,plain,
( c_Com_OWT(X2)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_125,plain,
( c_Com_OWT(X1)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_126,plain,
( X1 = X2
| c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_127,plain,
( X1 = X2
| c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_128,plain,
( X1 = X2
| c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_129,plain,
( X1 = c_Option_Ooption_ONone(X2)
| X1 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_130,plain,
( X1 = c_Option_Ooption_ONone(X2)
| X1 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_131,plain,
( X1 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X2),X2)
| X1 = c_Option_Ooption_ONone(X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_132,plain,
( X1 = c_Option_Ooption_ONone(X2)
| X1 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_133,plain,
( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| ~ c_Com_OWT(X1)
| ~ c_Com_OWT(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_134,plain,
( c_Com_Obody(X1) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X1),tc_Com_Ocom)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_135,plain,
( c_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| c_Com_Obody(X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_136,plain,
( c_Com_Obody(X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_137,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_138,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_139,plain,
( X1 = X2
| c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_140,plain,
( c_Natural_Oevaln(X2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5),X4,X5)
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
c_0_105,
[final] ).
cnf(c_0_141,plain,
( c_Natural_Oevaln(X1,X3,X4,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5))
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
c_0_106,
[final] ).
cnf(c_0_142,plain,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4) ),
c_0_107,
[final] ).
cnf(c_0_143,plain,
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
| ~ c_Natural_Oevaln(X1,X2,X3,X4)
| ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
c_0_108,
[final] ).
cnf(c_0_144,plain,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4)) = X3
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4) ),
c_0_109,
[final] ).
cnf(c_0_145,plain,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3,X4) ),
c_0_110,
[final] ).
cnf(c_0_146,plain,
( c_Natural_Oevalc(X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4),X4)
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
c_0_111,
[final] ).
cnf(c_0_147,plain,
( c_Natural_Oevalc(X1,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4))
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
c_0_112,
[final] ).
cnf(c_0_148,plain,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
c_0_113,
[final] ).
cnf(c_0_149,plain,
( c_Natural_Oevalc(X1,X2,X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
c_0_114,
[final] ).
cnf(c_0_150,plain,
( c_Natural_Oevalc(X1,X2,X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
c_0_115,
[final] ).
cnf(c_0_151,plain,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)
| ~ c_Natural_Oevalc(X1,X2,X3) ),
c_0_116,
[final] ).
cnf(c_0_152,plain,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)
| ~ c_Natural_Oevalc(X1,X2,X3) ),
c_0_117,
[final] ).
cnf(c_0_153,plain,
( X3 = X1
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
c_0_118,
[final] ).
cnf(c_0_154,plain,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5)
| ~ c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevalc(X4,X3,X5) ),
c_0_119,
[final] ).
cnf(c_0_155,plain,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3) ),
c_0_120,
[final] ).
cnf(c_0_156,plain,
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3)
| ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3) ),
c_0_121,
[final] ).
cnf(c_0_157,plain,
( X4 = X3
| ~ c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevalc(X1,X2,X4) ),
c_0_122,
[final] ).
cnf(c_0_158,plain,
( X2 = X1
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X2) ),
c_0_123,
[final] ).
cnf(c_0_159,plain,
( c_Com_OWT(X2)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
c_0_124,
[final] ).
cnf(c_0_160,plain,
( c_Com_OWT(X1)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
c_0_125,
[final] ).
cnf(c_0_161,plain,
( X1 = X2
| c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
c_0_126,
[final] ).
cnf(c_0_162,plain,
( X1 = X2
| c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
c_0_127,
[final] ).
cnf(c_0_163,plain,
( X1 = X2
| c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
c_0_128,
[final] ).
cnf(c_0_164,plain,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X1,X2),X2) = X1 ),
c_0_129,
[final] ).
cnf(c_0_165,plain,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X2),X2) = X1 ),
c_0_130,
[final] ).
cnf(c_0_166,plain,
( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X2),X2) = X1
| X1 = c_Option_Ooption_ONone(X2) ),
c_0_131,
[final] ).
cnf(c_0_167,plain,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X1,X2),X2) = X1 ),
c_0_132,
[final] ).
cnf(c_0_168,plain,
( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| ~ c_Com_OWT(X1)
| ~ c_Com_OWT(X2) ),
c_0_133,
[final] ).
cnf(c_0_169,plain,
( c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X1),tc_Com_Ocom) = c_Com_Obody(X1)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
c_0_134,
[final] ).
cnf(c_0_170,plain,
( c_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| c_Com_Obody(X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
c_0_135,
[final] ).
cnf(c_0_171,plain,
( c_Com_Obody(X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
c_0_136,
[final] ).
cnf(c_0_172,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
c_0_137,
[final] ).
cnf(c_0_173,plain,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
c_0_138,
[final] ).
cnf(c_0_174,plain,
( X1 = X2
| c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
c_0_139,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_140_0,axiom,
( c_Natural_Oevaln(X2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5),X4,X5)
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_1,axiom,
( ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
| c_Natural_Oevaln(X2,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( c_Natural_Oevaln(X1,X3,X4,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5))
| ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_1,axiom,
( ~ c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
| c_Natural_Oevaln(X1,X3,X4,c_Natural_Osko__Natural__Xevaln__elim__cases__4__1(X1,X2,X4,X3,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4)
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_1,axiom,
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4)
| c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
| ~ c_Natural_Oevaln(X1,X2,X3,X4)
| ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_1,axiom,
( ~ c_Natural_Oevaln(X1,X2,X3,X4)
| c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6)
| ~ c_Natural_Oevaln(X5,X4,X3,X6) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( ~ c_Natural_Oevaln(X5,X4,X3,X6)
| ~ c_Natural_Oevaln(X1,X2,X3,X4)
| c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X5),X2,X3,X6) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4)) = X3
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_1,axiom,
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X3,X4)
| c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X3,X2,X4)) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_1,axiom,
( ~ c_Natural_Oevaln(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3,X4)
| c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,c_Suc(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
( c_Natural_Oevalc(X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4),X4)
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_1,axiom,
( ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
| c_Natural_Oevalc(X2,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
( c_Natural_Oevalc(X1,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4))
| ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_1,axiom,
( ~ c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
| c_Natural_Oevalc(X1,X3,c_Natural_Osko__Natural__Xevalc__elim__cases__4__1(X1,X2,X3,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_0,axiom,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_1,axiom,
( ~ c_Natural_Oevaln(X1,X2,X3,X4)
| c_Natural_Oevaln(X1,X2,c_Suc(X3),X4) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
( c_Natural_Oevalc(X1,X2,X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_1,axiom,
( ~ c_Natural_Oevaln(X1,X2,X3,X4)
| c_Natural_Oevalc(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
( c_Natural_Oevalc(X1,X2,X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_1,axiom,
( ~ c_Natural_Oevaln(X1,X2,X3,X4)
| c_Natural_Oevalc(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3)
| ~ c_Natural_Oevalc(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_1,axiom,
( ~ c_Natural_Oevalc(X1,X2,X3)
| c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xeval__eq__1__1(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_0,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3)
| ~ c_Natural_Oevalc(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_1,axiom,
( ~ c_Natural_Oevalc(X1,X2,X3)
| c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevalc__evaln__1__1(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_0,axiom,
( X3 = X1
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_1,axiom,
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3)
| X3 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5)
| ~ c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevalc(X4,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_1,axiom,
( ~ c_Natural_Oevalc(X1,X2,X3)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5)
| ~ c_Natural_Oevalc(X4,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_2,axiom,
( ~ c_Natural_Oevalc(X4,X3,X5)
| ~ c_Natural_Oevalc(X1,X2,X3)
| c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X4),X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3)
| ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_1,axiom,
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_156_0,axiom,
( c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3)
| ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_1,axiom,
( ~ c_Natural_Oevalc(c_Com_Ocom_OBODY(X1),X2,X3)
| c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X1),tc_Com_Ocom),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_157_0,axiom,
( X4 = X3
| ~ c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevalc(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_1,axiom,
( ~ c_Natural_Oevalc(X1,X2,X3)
| X4 = X3
| ~ c_Natural_Oevalc(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_2,axiom,
( ~ c_Natural_Oevalc(X1,X2,X4)
| ~ c_Natural_Oevalc(X1,X2,X3)
| X4 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_0,axiom,
( X2 = X1
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_1,axiom,
( ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X2)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_0,axiom,
( c_Com_OWT(X2)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_1,axiom,
( ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| c_Com_OWT(X2) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
( c_Com_OWT(X1)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_1,axiom,
( ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| c_Com_OWT(X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( X1 = X2
| c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_1,axiom,
( c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
( X1 = X2
| c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_1,axiom,
( c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
( X1 = X2
| c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_1,axiom,
( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X1,X2),X2) = X1
| X1 = c_Option_Ooption_ONone(X2) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X2),X2) = X1
| X1 = c_Option_Ooption_ONone(X2) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_0,axiom,
( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X2),X2) = X1
| X1 = c_Option_Ooption_ONone(X2) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_1,axiom,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_0,axiom,
( X1 = c_Option_Ooption_ONone(X2)
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X1,X2),X2) = X1
| X1 = c_Option_Ooption_ONone(X2) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_168_0,axiom,
( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| ~ c_Com_OWT(X1)
| ~ c_Com_OWT(X2) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_1,axiom,
( ~ c_Com_OWT(X1)
| c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| ~ c_Com_OWT(X2) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_2,axiom,
( ~ c_Com_OWT(X2)
| ~ c_Com_OWT(X1)
| c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_0,axiom,
( c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X1),tc_Com_Ocom) = c_Com_Obody(X1)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_1,axiom,
( ~ c_Com_OWT(c_Com_Ocom_OBODY(X1))
| c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X1),tc_Com_Ocom) = c_Com_Obody(X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
( c_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| c_Com_Obody(X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_1,axiom,
( ~ c_Com_OWT__bodies
| c_Com_OWT(X1)
| c_Com_Obody(X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_2,axiom,
( c_Com_Obody(X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X1) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_171_0,axiom,
( c_Com_Obody(X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_1,axiom,
( c_Com_OWT(c_Com_Ocom_OBODY(X1))
| c_Com_Obody(X1) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_172_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( c_Suc(X1) != c_Suc(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_173_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( c_Suc(X1) != c_Suc(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_0,axiom,
( X1 = X2
| c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_091,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_1_092,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_2_093,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_3_094,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
c_0_1 ).
fof(c_0_4_095,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
c_0_2 ).
fof(c_0_5_096,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
c_0_3 ).
cnf(c_0_6_097,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_098,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8_099,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
c_0_6,
[final] ).
cnf(c_0_9_100,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_93,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
file('/export/starexec/sandbox/tmp/iprover_modulo_0f4b11.p',c_0_8) ).
cnf(c_140,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(copy,[status(esa)],[c_93]) ).
cnf(c_148,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(copy,[status(esa)],[c_140]) ).
cnf(c_151,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(copy,[status(esa)],[c_148]) ).
cnf(c_152,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(copy,[status(esa)],[c_151]) ).
cnf(c_432,negated_conjecture,
~ c_Natural_Oevalc(c_Com_Ocom_OBODY(v_pn),v_x,v_xa),
inference(copy,[status(esa)],[c_152]) ).
cnf(c_32,plain,
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),X1,X2)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(X0),X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_0f4b11.p',c_0_155_0) ).
cnf(c_313,plain,
( ~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),X1,X2)
| c_Natural_Oevalc(c_Com_Ocom_OBODY(X0),X1,X2) ),
inference(copy,[status(esa)],[c_32]) ).
cnf(c_440,plain,
~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(resolution,[status(thm)],[c_432,c_313]) ).
cnf(c_441,plain,
~ c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(rewriting,[status(thm)],[c_440]) ).
cnf(c_94,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
file('/export/starexec/sandbox/tmp/iprover_modulo_0f4b11.p',c_0_9) ).
cnf(c_142,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(copy,[status(esa)],[c_94]) ).
cnf(c_149,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_150,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(copy,[status(esa)],[c_149]) ).
cnf(c_153,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(copy,[status(esa)],[c_150]) ).
cnf(c_434,negated_conjecture,
c_Natural_Oevalc(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),v_x,v_xa),
inference(copy,[status(esa)],[c_153]) ).
cnf(c_459,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_441,c_434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV888-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 03:23:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.20/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40 % Orientation found
% 0.20/0.40 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_bd89de.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0f4b11.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0787f3 | 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
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.45/0.73 % --bmc1_dump_unsat_core_tptp false
% 0.45/0.73 % --bmc1_dump_file -
% 0.45/0.73 % --bmc1_ucm_expand_uc_limit 128
% 0.45/0.73 % --bmc1_ucm_n_expand_iterations 6
% 0.45/0.73 % --bmc1_ucm_extend_mode 1
% 0.45/0.73 % --bmc1_ucm_init_mode 2
% 0.45/0.73 % --bmc1_ucm_cone_mode none
% 0.45/0.73 % --bmc1_ucm_reduced_relation_type 0
% 0.45/0.73 % --bmc1_ucm_relax_model 4
% 0.45/0.73 % --bmc1_ucm_full_tr_after_sat true
% 0.45/0.73 % --bmc1_ucm_expand_neg_assumptions false
% 0.45/0.73 % --bmc1_ucm_layered_model none
% 0.45/0.73 % --bmc1_ucm_max_lemma_size 10
% 0.45/0.73
% 0.45/0.73 % ------ AIG Options
% 0.45/0.73
% 0.45/0.73 % --aig_mode false
% 0.45/0.73
% 0.45/0.73 % ------ Instantiation Options
% 0.45/0.73
% 0.45/0.73 % --instantiation_flag true
% 0.45/0.73 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.45/0.73 % --inst_solver_per_active 750
% 0.45/0.73 % --inst_solver_calls_frac 0.5
% 0.45/0.73 % --inst_passive_queue_type priority_queues
% 0.45/0.73 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.45/0.73 % --inst_passive_queues_freq [25;2]
% 0.45/0.73 % --inst_dismatching true
% 0.45/0.73 % --inst_eager_unprocessed_to_passive true
% 0.45/0.73 % --inst_prop_sim_given true
% 0.45/0.73 % --inst_prop_sim_new false
% 0.45/0.73 % --inst_orphan_elimination true
% 0.45/0.73 % --inst_learning_loop_flag true
% 0.45/0.73 % --inst_learning_start 3000
% 0.45/0.73 % --inst_learning_factor 2
% 0.45/0.73 % --inst_start_prop_sim_after_learn 3
% 0.45/0.73 % --inst_sel_renew solver
% 0.45/0.73 % --inst_lit_activity_flag true
% 0.45/0.73 % --inst_out_proof true
% 0.45/0.73
% 0.45/0.73 % ------ Resolution Options
% 0.45/0.73
% 0.45/0.73 % --resolution_flag true
% 0.45/0.73 % --res_lit_sel kbo_max
% 0.45/0.73 % --res_to_prop_solver none
% 0.45/0.73 % --res_prop_simpl_new false
% 0.45/0.73 % --res_prop_simpl_given false
% 0.45/0.73 % --res_passive_queue_type priority_queues
% 0.45/0.73 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.45/0.73 % --res_passive_queues_freq [15;5]
% 0.45/0.73 % --res_forward_subs full
% 0.45/0.73 % --res_backward_subs full
% 0.45/0.73 % --res_forward_subs_resolution true
% 0.45/0.73 % --res_backward_subs_resolution true
% 0.45/0.73 % --res_orphan_elimination false
% 0.45/0.73 % --res_time_limit 1000.
% 0.45/0.73 % --res_out_proof true
% 0.45/0.73 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_bd89de.s
% 0.45/0.73 % --modulo true
% 0.45/0.73
% 0.45/0.73 % ------ Combination Options
% 0.45/0.73
% 0.45/0.73 % --comb_res_mult 1000
% 0.45/0.73 % --comb_inst_mult 300
% 0.45/0.73 % ------
% 0.45/0.73
% 0.45/0.73 % ------ Parsing...% successful
% 0.45/0.73
% 0.45/0.73 % ------ 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 %
% 0.45/0.73
% 0.45/0.73 % ------ Proving...
% 0.45/0.73 % ------ Problem Properties
% 0.45/0.73
% 0.45/0.73 %
% 0.45/0.73 % EPR false
% 0.45/0.73 % Horn false
% 0.45/0.73 % Has equality true
% 0.45/0.73
% 0.45/0.73 % % ------ Input Options Time Limit: Unbounded
% 0.45/0.73
% 0.45/0.73
% 0.45/0.73 Compiling...
% 0.45/0.73 Loading plugin: done.
% 0.45/0.73 Compiling...
% 0.45/0.73 Loading plugin: done.
% 0.45/0.73 Compiling...
% 0.45/0.73 Loading plugin: done.
% 0.45/0.73 % % ------ Current options:
% 0.45/0.73
% 0.45/0.73 % ------ Input Options
% 0.45/0.73
% 0.45/0.73 % --out_options all
% 0.45/0.73 % --tptp_safe_out true
% 0.45/0.73 % --problem_path ""
% 0.45/0.73 % --include_path ""
% 0.45/0.73 % --clausifier .//eprover
% 0.45/0.73 % --clausifier_options --tstp-format
% 0.45/0.73 % --stdin false
% 0.45/0.73 % --dbg_backtrace false
% 0.45/0.73 % --dbg_dump_prop_clauses false
% 0.45/0.73 % --dbg_dump_prop_clauses_file -
% 0.45/0.73 % --dbg_out_stat false
% 0.45/0.73
% 0.45/0.73 % ------ General Options
% 0.45/0.73
% 0.45/0.73 % --fof false
% 0.45/0.73 % --time_out_real 150.
% 0.45/0.73 % --time_out_prep_mult 0.2
% 0.45/0.73 % --time_out_virtual -1.
% 0.45/0.73 % --schedule none
% 0.45/0.73 % --ground_splitting input
% 0.45/0.73 % --splitting_nvd 16
% 0.45/0.73 % --non_eq_to_eq false
% 0.45/0.74 % --prep_gs_sim true
% 0.45/0.74 % --prep_unflatten false
% 0.45/0.74 % --prep_res_sim true
% 0.45/0.74 % --prep_upred true
% 0.45/0.74 % --res_sim_input true
% 0.45/0.74 % --clause_weak_htbl true
% 0.45/0.74 % --gc_record_bc_elim false
% 0.45/0.74 % --symbol_type_check false
% 0.45/0.74 % --clausify_out false
% 0.45/0.74 % --large_theory_mode false
% 0.45/0.74 % --prep_sem_filter none
% 0.45/0.74 % --prep_sem_filter_out false
% 0.45/0.74 % --preprocessed_out false
% 0.45/0.74 % --sub_typing false
% 0.45/0.74 % --brand_transform false
% 0.45/0.74 % --pure_diseq_elim true
% 0.45/0.74 % --min_unsat_core false
% 0.45/0.74 % --pred_elim true
% 0.45/0.74 % --add_important_lit false
% 0.45/0.74 % --soft_assumptions false
% 0.45/0.74 % --reset_solvers false
% 0.45/0.74 % --bc_imp_inh []
% 0.45/0.74 % --conj_cone_tolerance 1.5
% 0.45/0.74 % --prolific_symb_bound 500
% 0.45/0.74 % --lt_threshold 2000
% 0.45/0.74
% 0.45/0.74 % ------ SAT Options
% 0.45/0.74
% 0.45/0.74 % --sat_mode false
% 0.45/0.74 % --sat_fm_restart_options ""
% 0.45/0.74 % --sat_gr_def false
% 0.45/0.74 % --sat_epr_types true
% 0.45/0.74 % --sat_non_cyclic_types false
% 0.45/0.74 % --sat_finite_models false
% 0.45/0.74 % --sat_fm_lemmas false
% 0.45/0.74 % --sat_fm_prep false
% 0.45/0.74 % --sat_fm_uc_incr true
% 0.45/0.74 % --sat_out_model small
% 0.45/0.74 % --sat_out_clauses false
% 0.45/0.74
% 0.45/0.74 % ------ QBF Options
% 0.45/0.74
% 0.45/0.74 % --qbf_mode false
% 0.45/0.74 % --qbf_elim_univ true
% 0.45/0.74 % --qbf_sk_in true
% 0.45/0.74 % --qbf_pred_elim true
% 0.45/0.74 % --qbf_split 32
% 0.45/0.74
% 0.45/0.74 % ------ BMC1 Options
% 0.45/0.74
% 0.45/0.74 % --bmc1_incremental false
% 0.45/0.74 % --bmc1_axioms reachable_all
% 0.45/0.74 % --bmc1_min_bound 0
% 0.45/0.74 % --bmc1_max_bound -1
% 0.45/0.74 % --bmc1_max_bound_default -1
% 0.45/0.74 % --bmc1_symbol_reachability true
% 0.45/0.74 % --bmc1_property_lemmas false
% 0.45/0.74 % --bmc1_k_induction false
% 0.45/0.74 % --bmc1_non_equiv_states false
% 0.45/0.74 % --bmc1_deadlock false
% 0.45/0.74 % --bmc1_ucm false
% 0.45/0.74 % --bmc1_add_unsat_core none
% 0.45/0.74 % --bmc1_unsat_core_children false
% 0.45/0.74 % --bmc1_unsat_core_extrapolate_axioms false
% 0.45/0.74 % --bmc1_out_stat full
% 0.45/0.74 % --bmc1_ground_init false
% 0.45/0.74 % --bmc1_pre_inst_next_state false
% 0.45/0.74 % --bmc1_pre_inst_state false
% 0.45/0.74 % --bmc1_pre_inst_reach_state false
% 0.45/0.74 % --bmc1_out_unsat_core false
% 0.45/0.74 % --bmc1_aig_witness_out false
% 0.45/0.74 % --bmc1_verbose false
% 0.45/0.74 % --bmc1_dump_clauses_tptp false
% 0.45/0.74 % --bmc1_dump_unsat_core_tptp false
% 0.45/0.74 % --bmc1_dump_file -
% 0.45/0.74 % --bmc1_ucm_expand_uc_limit 128
% 0.45/0.74 % --bmc1_ucm_n_expand_iterations 6
% 0.45/0.74 % --bmc1_ucm_extend_mode 1
% 0.45/0.74 % --bmc1_ucm_init_mode 2
% 0.45/0.74 % --bmc1_ucm_cone_mode none
% 0.45/0.74 % --bmc1_ucm_reduced_relation_type 0
% 0.45/0.74 % --bmc1_ucm_relax_model 4
% 0.45/0.74 % --bmc1_ucm_full_tr_after_sat true
% 0.45/0.74 % --bmc1_ucm_expand_neg_assumptions false
% 0.45/0.74 % --bmc1_ucm_layered_model none
% 0.45/0.74 % --bmc1_ucm_max_lemma_size 10
% 0.45/0.74
% 0.45/0.74 % ------ AIG Options
% 0.45/0.74
% 0.45/0.74 % --aig_mode false
% 0.45/0.74
% 0.45/0.74 % ------ Instantiation Options
% 0.45/0.74
% 0.45/0.74 % --instantiation_flag true
% 0.45/0.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.45/0.74 % --inst_solver_per_active 750
% 0.45/0.74 % --inst_solver_calls_frac 0.5
% 0.45/0.74 % --inst_passive_queue_type priority_queues
% 0.45/0.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.45/0.74 % --inst_passive_queues_freq [25;2]
% 0.45/0.74 % --inst_dismatching true
% 0.45/0.74 % --inst_eager_unprocessed_to_passive true
% 0.45/0.74 % --inst_prop_sim_given true
% 0.45/0.74 % --inst_prop_sim_new false
% 0.45/0.74 % --inst_orphan_elimination true
% 0.45/0.74 % --inst_learning_loop_flag true
% 0.45/0.74 % --inst_learning_start 3000
% 0.45/0.74 % --inst_learning_factor 2
% 0.45/0.74 % --inst_start_prop_sim_after_learn 3
% 0.45/0.74 % --inst_sel_renew solver
% 0.45/0.74 % --inst_lit_activity_flag true
% 0.45/0.74 % --inst_out_proof true
% 0.45/0.74
% 0.45/0.74 % ------ Resolution Options
% 0.45/0.74
% 0.45/0.74 % --resolution_flag true
% 0.45/0.74 % --res_lit_sel kbo_max
% 0.45/0.74 % --res_to_prop_solver none
% 0.45/0.74 % --res_prop_simpl_new false
% 0.45/0.74 % --res_prop_simpl_given false
% 0.45/0.74 % --res_passive_queue_type priority_queues
% 0.45/0.74 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.45/0.74 % --res_passive_queues_freq [15;5]
% 0.45/0.74 % --res_forward_subs full
% 0.45/0.74 % --res_backward_subs full
% 0.45/0.74 % --res_forward_subs_resolution true
% 0.45/0.74 % --res_backward_subs_resolution true
% 0.45/0.74 % --res_orphan_elimination false
% 0.45/0.74 % --res_time_limit 1000.
% 0.45/0.74 % --res_out_proof true
% 0.45/0.74 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_bd89de.s
% 0.45/0.74 % --modulo true
% 0.45/0.74
% 0.45/0.74 % ------ Combination Options
% 0.45/0.74
% 0.45/0.74 % --comb_res_mult 1000
% 0.45/0.74 % --comb_inst_mult 300
% 0.45/0.74 % ------
% 0.45/0.74
% 0.45/0.74
% 0.45/0.74
% 0.45/0.74 % ------ Proving...
% 0.45/0.74 %
% 0.45/0.74
% 0.45/0.74
% 0.45/0.74 % Resolution empty clause
% 0.45/0.74
% 0.45/0.74 % ------ Statistics
% 0.45/0.74
% 0.45/0.74 % ------ General
% 0.45/0.74
% 0.45/0.74 % num_of_input_clauses: 95
% 0.45/0.74 % num_of_input_neg_conjectures: 2
% 0.45/0.74 % num_of_splits: 0
% 0.45/0.74 % num_of_split_atoms: 0
% 0.45/0.74 % num_of_sem_filtered_clauses: 0
% 0.45/0.74 % num_of_subtypes: 0
% 0.45/0.74 % monotx_restored_types: 0
% 0.45/0.74 % sat_num_of_epr_types: 0
% 0.45/0.74 % sat_num_of_non_cyclic_types: 0
% 0.45/0.74 % sat_guarded_non_collapsed_types: 0
% 0.45/0.74 % is_epr: 0
% 0.45/0.74 % is_horn: 0
% 0.45/0.74 % has_eq: 1
% 0.45/0.74 % num_pure_diseq_elim: 0
% 0.45/0.74 % simp_replaced_by: 0
% 0.45/0.74 % res_preprocessed: 4
% 0.45/0.74 % prep_upred: 0
% 0.45/0.74 % prep_unflattend: 0
% 0.45/0.74 % pred_elim_cands: 0
% 0.45/0.74 % pred_elim: 0
% 0.45/0.74 % pred_elim_cl: 0
% 0.45/0.74 % pred_elim_cycles: 0
% 0.45/0.74 % forced_gc_time: 0
% 0.45/0.74 % gc_basic_clause_elim: 0
% 0.45/0.74 % parsing_time: 0.004
% 0.45/0.74 % sem_filter_time: 0.
% 0.45/0.74 % pred_elim_time: 0.
% 0.45/0.74 % out_proof_time: 0.
% 0.45/0.74 % monotx_time: 0.
% 0.45/0.74 % subtype_inf_time: 0.
% 0.45/0.74 % unif_index_cands_time: 0.
% 0.45/0.74 % unif_index_add_time: 0.
% 0.45/0.74 % total_time: 0.328
% 0.45/0.74 % num_of_symbols: 53
% 0.45/0.74 % num_of_terms: 412
% 0.45/0.74
% 0.45/0.74 % ------ Propositional Solver
% 0.45/0.74
% 0.45/0.74 % prop_solver_calls: 1
% 0.45/0.74 % prop_fast_solver_calls: 6
% 0.45/0.74 % prop_num_of_clauses: 113
% 0.45/0.74 % prop_preprocess_simplified: 275
% 0.45/0.74 % prop_fo_subsumed: 0
% 0.45/0.74 % prop_solver_time: 0.
% 0.45/0.74 % prop_fast_solver_time: 0.
% 0.45/0.74 % prop_unsat_core_time: 0.
% 0.45/0.74
% 0.45/0.74 % ------ QBF
% 0.45/0.74
% 0.45/0.74 % qbf_q_res: 0
% 0.45/0.74 % qbf_num_tautologies: 0
% 0.45/0.74 % qbf_prep_cycles: 0
% 0.45/0.74
% 0.45/0.74 % ------ BMC1
% 0.45/0.74
% 0.45/0.74 % bmc1_current_bound: -1
% 0.45/0.74 % bmc1_last_solved_bound: -1
% 0.45/0.74 % bmc1_unsat_core_size: -1
% 0.45/0.74 % bmc1_unsat_core_parents_size: -1
% 0.45/0.74 % bmc1_merge_next_fun: 0
% 0.45/0.74 % bmc1_unsat_core_clauses_time: 0.
% 0.45/0.74
% 0.45/0.74 % ------ Instantiation
% 0.45/0.74
% 0.45/0.74 % inst_num_of_clauses: 89
% 0.45/0.74 % inst_num_in_passive: 0
% 0.45/0.74 % inst_num_in_active: 0
% 0.45/0.74 % inst_num_in_unprocessed: 95
% 0.45/0.74 % inst_num_of_loops: 0
% 0.45/0.74 % inst_num_of_learning_restarts: 0
% 0.45/0.74 % inst_num_moves_active_passive: 0
% 0.45/0.74 % inst_lit_activity: 0
% 0.45/0.74 % inst_lit_activity_moves: 0
% 0.45/0.74 % inst_num_tautologies: 0
% 0.45/0.74 % inst_num_prop_implied: 0
% 0.45/0.74 % inst_num_existing_simplified: 0
% 0.45/0.74 % inst_num_eq_res_simplified: 0
% 0.45/0.74 % inst_num_child_elim: 0
% 0.45/0.74 % inst_num_of_dismatching_blockings: 0
% 0.45/0.74 % inst_num_of_non_proper_insts: 0
% 0.45/0.74 % inst_num_of_duplicates: 0
% 0.45/0.74 % inst_inst_num_from_inst_to_res: 0
% 0.45/0.74 % inst_dismatching_checking_time: 0.
% 0.45/0.74
% 0.45/0.74 % ------ Resolution
% 0.45/0.74
% 0.45/0.74 % res_num_of_clauses: 98
% 0.45/0.74 % res_num_in_passive: 3
% 0.45/0.74 % res_num_in_active: 53
% 0.45/0.74 % res_num_of_loops: 4
% 0.45/0.74 % res_forward_subset_subsumed: 43
% 0.45/0.74 % res_backward_subset_subsumed: 0
% 0.45/0.74 % res_forward_subsumed: 0
% 0.45/0.74 % res_backward_subsumed: 0
% 0.45/0.74 % res_forward_subsumption_resolution: 1
% 0.45/0.74 % res_backward_subsumption_resolution: 0
% 0.45/0.74 % res_clause_to_clause_subsumption: 1
% 0.45/0.74 % res_orphan_elimination: 0
% 0.45/0.74 % res_tautology_del: 0
% 0.45/0.74 % res_num_eq_res_simplified: 0
% 0.45/0.74 % res_num_sel_changes: 0
% 0.45/0.74 % res_moves_from_active_to_pass: 0
% 0.45/0.74
% 0.45/0.74 % Status Unsatisfiable
% 0.45/0.74 % SZS status Unsatisfiable
% 0.45/0.74 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------