TSTP Solution File: SWV904-1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n019.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 19:23:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% 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_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_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_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_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_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_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]) ).
fof(def_lhs_atom1,axiom,
! [V_a_H,T_a] :
( lhs_atom1(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_0,plain,
! [T_a,V_a_H] :
( lhs_atom1(V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_option_Osimps_I2_J_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V_y,T_a] :
( lhs_atom2(V_y,T_a)
<=> c_Option_Ooption_ONone(T_a) != c_Option_Ooption_OSome(V_y,T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [T_a,V_y] :
( lhs_atom2(V_y,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__Some__eq_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [V_a_H,T_a] :
( lhs_atom3(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_2,plain,
! [T_a,V_a_H] :
( lhs_atom3(V_a_H,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_option_Osimps_I3_J_0_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [V_xa,T_a] :
( lhs_atom4(V_xa,T_a)
<=> c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [T_a,V_xa] :
( lhs_atom4(V_xa,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__None__eq_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V_pname_H] :
( lhs_atom5(V_pname_H)
<=> c_Com_Ocom_OBODY(V_pname_H) != c_Com_Ocom_OSKIP ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [V_pname_H] :
( lhs_atom5(V_pname_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I19_J_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V_pname_H,V_com2,V_com1] :
( lhs_atom6(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_5,plain,
! [V_com1,V_com2,V_pname_H] :
( lhs_atom6(V_pname_H,V_com2,V_com1)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I49_J_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V_pname_H,V_com2,V_com1] :
( lhs_atom7(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_6,plain,
! [V_com1,V_com2,V_pname_H] :
( lhs_atom7(V_pname_H,V_com2,V_com1)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I48_J_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V_pname_H] :
( lhs_atom8(V_pname_H)
<=> c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(V_pname_H) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [V_pname_H] :
( lhs_atom8(V_pname_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I18_J_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V_com2_H,V_com1_H] :
( lhs_atom9(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_8,plain,
! [V_com1_H,V_com2_H] :
( lhs_atom9(V_com2_H,V_com1_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I13_J_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V_com2_H,V_com1_H] :
( lhs_atom10(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_9,plain,
! [V_com1_H,V_com2_H] :
( lhs_atom10(V_com2_H,V_com1_H)
| $false ),
inference(fold_definition,[status(thm)],[cls_com_Osimps_I12_J_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> c_Com_OWT(c_Com_Ocom_OSKIP) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[cls_WT_OSkip_0_0,def_lhs_atom11]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X5,X6,X7] :
( lhs_atom7(X5,X6,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_1,axiom,
! [X5,X6,X7] :
( lhs_atom6(X5,X6,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_2,axiom,
! [X8,X9] :
( lhs_atom10(X8,X9)
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_3,axiom,
! [X8,X9] :
( lhs_atom9(X8,X9)
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_4,axiom,
! [X4,X2] :
( lhs_atom4(X4,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom3(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_6,axiom,
! [X3,X2] :
( lhs_atom2(X3,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_7,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_8,axiom,
! [X5] :
( lhs_atom8(X5)
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_9,axiom,
! [X5] :
( lhs_atom5(X5)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_10,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_11,plain,
! [X5,X6,X7] : lhs_atom7(X5,X6,X7),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_12,plain,
! [X5,X6,X7] : lhs_atom6(X5,X6,X7),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_13,plain,
! [X8,X9] : lhs_atom10(X8,X9),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_14,plain,
! [X8,X9] : lhs_atom9(X8,X9),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_15,plain,
! [X4,X2] : lhs_atom4(X4,X2),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_16,plain,
! [X1,X2] : lhs_atom3(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_17,plain,
! [X3,X2] : lhs_atom2(X3,X2),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_18,plain,
! [X1,X2] : lhs_atom1(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_19,plain,
! [X5] : lhs_atom8(X5),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_20,plain,
! [X5] : lhs_atom5(X5),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_21,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_22,plain,
! [X8,X9,X10] : lhs_atom7(X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_11]) ).
fof(c_0_23,plain,
! [X8,X9,X10] : lhs_atom6(X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_12]) ).
fof(c_0_24,plain,
! [X10,X11] : lhs_atom10(X10,X11),
inference(variable_rename,[status(thm)],[c_0_13]) ).
fof(c_0_25,plain,
! [X10,X11] : lhs_atom9(X10,X11),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_26,plain,
! [X5,X6] : lhs_atom4(X5,X6),
inference(variable_rename,[status(thm)],[c_0_15]) ).
fof(c_0_27,plain,
! [X3,X4] : lhs_atom3(X3,X4),
inference(variable_rename,[status(thm)],[c_0_16]) ).
fof(c_0_28,plain,
! [X4,X5] : lhs_atom2(X4,X5),
inference(variable_rename,[status(thm)],[c_0_17]) ).
fof(c_0_29,plain,
! [X3,X4] : lhs_atom1(X3,X4),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_30,plain,
! [X6] : lhs_atom8(X6),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_31,plain,
! [X6] : lhs_atom5(X6),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_32,plain,
lhs_atom11,
c_0_21 ).
cnf(c_0_33,plain,
lhs_atom7(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
lhs_atom6(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
lhs_atom10(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
lhs_atom9(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
lhs_atom4(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
lhs_atom3(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,plain,
lhs_atom2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
lhs_atom1(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
lhs_atom8(X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
lhs_atom5(X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
lhs_atom7(X1,X2,X3),
c_0_33,
[final] ).
cnf(c_0_45,plain,
lhs_atom6(X1,X2,X3),
c_0_34,
[final] ).
cnf(c_0_46,plain,
lhs_atom10(X1,X2),
c_0_35,
[final] ).
cnf(c_0_47,plain,
lhs_atom9(X1,X2),
c_0_36,
[final] ).
cnf(c_0_48,plain,
lhs_atom4(X1,X2),
c_0_37,
[final] ).
cnf(c_0_49,plain,
lhs_atom3(X1,X2),
c_0_38,
[final] ).
cnf(c_0_50,plain,
lhs_atom2(X1,X2),
c_0_39,
[final] ).
cnf(c_0_51,plain,
lhs_atom1(X1,X2),
c_0_40,
[final] ).
cnf(c_0_52,plain,
lhs_atom8(X1),
c_0_41,
[final] ).
cnf(c_0_53,plain,
lhs_atom5(X1),
c_0_42,
[final] ).
cnf(c_0_54,plain,
lhs_atom11,
c_0_43,
[final] ).
% End CNF derivation
cnf(c_0_44_0,axiom,
c_Com_Ocom_OSemi(X3,X2) != c_Com_Ocom_OBODY(X1),
inference(unfold_definition,[status(thm)],[c_0_44,def_lhs_atom7]) ).
cnf(c_0_45_0,axiom,
c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSemi(X3,X2),
inference(unfold_definition,[status(thm)],[c_0_45,def_lhs_atom6]) ).
cnf(c_0_46_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X2,X1),
inference(unfold_definition,[status(thm)],[c_0_46,def_lhs_atom10]) ).
cnf(c_0_47_0,axiom,
c_Com_Ocom_OSemi(X2,X1) != c_Com_Ocom_OSKIP,
inference(unfold_definition,[status(thm)],[c_0_47,def_lhs_atom9]) ).
cnf(c_0_48_0,axiom,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
inference(unfold_definition,[status(thm)],[c_0_48,def_lhs_atom4]) ).
cnf(c_0_49_0,axiom,
c_Option_Ooption_OSome(X1,X2) != c_Option_Ooption_ONone(X2),
inference(unfold_definition,[status(thm)],[c_0_49,def_lhs_atom3]) ).
cnf(c_0_50_0,axiom,
c_Option_Ooption_ONone(X2) != c_Option_Ooption_OSome(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_50,def_lhs_atom2]) ).
cnf(c_0_51_0,axiom,
c_Option_Ooption_ONone(X2) != c_Option_Ooption_OSome(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_51,def_lhs_atom1]) ).
cnf(c_0_52_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X1),
inference(unfold_definition,[status(thm)],[c_0_52,def_lhs_atom8]) ).
cnf(c_0_53_0,axiom,
c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSKIP,
inference(unfold_definition,[status(thm)],[c_0_53,def_lhs_atom5]) ).
cnf(c_0_54_0,axiom,
c_Com_OWT(c_Com_Ocom_OSKIP),
inference(unfold_definition,[status(thm)],[c_0_54,def_lhs_atom11]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X4,X5] :
( c_Com_OWT(X5)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X5,X4)) ),
file('<stdin>',cls_WTs__elim__cases_I4_J_0) ).
fof(c_0_1_002,axiom,
! [X4,X5] :
( c_Com_OWT(X4)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X5,X4)) ),
file('<stdin>',cls_WTs__elim__cases_I4_J_1) ).
fof(c_0_2_003,axiom,
! [X12,X13,X14,X15] :
( c_Com_Ocom_OSemi(X15,X13) != c_Com_Ocom_OSemi(X14,X12)
| X13 = X12 ),
file('<stdin>',cls_com_Osimps_I3_J_1) ).
fof(c_0_3_004,axiom,
! [X12,X13,X14,X15] :
( c_Com_Ocom_OSemi(X15,X13) != c_Com_Ocom_OSemi(X14,X12)
| X15 = X14 ),
file('<stdin>',cls_com_Osimps_I3_J_0) ).
fof(c_0_4_005,axiom,
! [X9,X10,X11] :
( c_Option_Ooption_OSome(X10,X11) != c_Option_Ooption_OSome(X9,X11)
| X10 = X9 ),
file('<stdin>',cls_option_Oinject_0) ).
fof(c_0_5_006,axiom,
! [X5,X6] :
( c_Com_OWT(c_Com_Ocom_OSemi(X6,X5))
| ~ c_Com_OWT(X5)
| ~ c_Com_OWT(X6) ),
file('<stdin>',cls_WT_OSemi_0) ).
fof(c_0_6_007,axiom,
! [X16] :
( c_Com_Obody(X16) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X16),tc_Com_Ocom)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X16)) ),
file('<stdin>',cls_WTs__elim__cases_I7_J_0) ).
fof(c_0_7_008,axiom,
! [X7,X8] :
( c_Com_Obody(X7) != c_Option_Ooption_OSome(X8,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X8) ),
file('<stdin>',cls_WT__bodiesD_0) ).
fof(c_0_8_009,axiom,
! [X7] :
( c_Com_OWT(c_Com_Ocom_OBODY(X7))
| c_Com_Obody(X7) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
file('<stdin>',cls_WT_OBody_0) ).
fof(c_0_9_010,axiom,
! [X17,X18] :
( c_Com_Ocom_OBODY(X18) != c_Com_Ocom_OBODY(X17)
| X18 = X17 ),
file('<stdin>',cls_com_Osimps_I6_J_0) ).
fof(c_0_10_011,axiom,
! [X1] :
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('<stdin>',cls_single__stateE_0) ).
fof(c_0_11_012,axiom,
! [X2,X3] :
( c_Hoare__Mirabelle_Ostate__not__singleton
| X3 = X2 ),
file('<stdin>',cls_state__not__singleton__def_1) ).
fof(c_0_12_013,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('<stdin>',cls_state__not__singleton__def__raw_0) ).
fof(c_0_13_014,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('<stdin>',cls_state__not__singleton__def_0) ).
fof(c_0_14_015,plain,
! [X4,X5] :
( c_Com_OWT(X5)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X5,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_15_016,plain,
! [X4,X5] :
( c_Com_OWT(X4)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X5,X4)) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_16_017,axiom,
! [X12,X13,X14,X15] :
( c_Com_Ocom_OSemi(X15,X13) != c_Com_Ocom_OSemi(X14,X12)
| X13 = X12 ),
c_0_2 ).
fof(c_0_17_018,axiom,
! [X12,X13,X14,X15] :
( c_Com_Ocom_OSemi(X15,X13) != c_Com_Ocom_OSemi(X14,X12)
| X15 = X14 ),
c_0_3 ).
fof(c_0_18_019,axiom,
! [X9,X10,X11] :
( c_Option_Ooption_OSome(X10,X11) != c_Option_Ooption_OSome(X9,X11)
| X10 = X9 ),
c_0_4 ).
fof(c_0_19_020,plain,
! [X5,X6] :
( c_Com_OWT(c_Com_Ocom_OSemi(X6,X5))
| ~ c_Com_OWT(X5)
| ~ c_Com_OWT(X6) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_20_021,plain,
! [X16] :
( c_Com_Obody(X16) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X16),tc_Com_Ocom)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X16)) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_21_022,plain,
! [X7,X8] :
( c_Com_Obody(X7) != c_Option_Ooption_OSome(X8,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X8) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_22_023,axiom,
! [X7] :
( c_Com_OWT(c_Com_Ocom_OBODY(X7))
| c_Com_Obody(X7) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
c_0_8 ).
fof(c_0_23_024,axiom,
! [X17,X18] :
( c_Com_Ocom_OBODY(X18) != c_Com_Ocom_OBODY(X17)
| X18 = X17 ),
c_0_9 ).
fof(c_0_24_025,plain,
! [X1] :
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_25_026,axiom,
! [X2,X3] :
( c_Hoare__Mirabelle_Ostate__not__singleton
| X3 = X2 ),
c_0_11 ).
fof(c_0_26_027,plain,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_27_028,plain,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_28_029,plain,
! [X6,X7] :
( c_Com_OWT(X7)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X7,X6)) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_29_030,plain,
! [X6,X7] :
( c_Com_OWT(X6)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X7,X6)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_15])])]) ).
fof(c_0_30_031,plain,
! [X16,X17,X18,X19] :
( c_Com_Ocom_OSemi(X19,X17) != c_Com_Ocom_OSemi(X18,X16)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_16])])]) ).
fof(c_0_31_032,plain,
! [X16,X17,X18,X19] :
( c_Com_Ocom_OSemi(X19,X17) != c_Com_Ocom_OSemi(X18,X16)
| X19 = X18 ),
inference(variable_rename,[status(thm)],[c_0_17]) ).
fof(c_0_32_033,plain,
! [X12,X13,X14] :
( c_Option_Ooption_OSome(X13,X14) != c_Option_Ooption_OSome(X12,X14)
| X13 = X12 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_18])])]) ).
fof(c_0_33_034,plain,
! [X7,X8] :
( c_Com_OWT(c_Com_Ocom_OSemi(X8,X7))
| ~ c_Com_OWT(X7)
| ~ c_Com_OWT(X8) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_34_035,plain,
! [X17] :
( c_Com_Obody(X17) = c_Option_Ooption_OSome(c_Com_Osko__Com__XWTs__elim__cases__7__1(X17),tc_Com_Ocom)
| ~ c_Com_OWT(c_Com_Ocom_OBODY(X17)) ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_35_036,plain,
! [X9,X10] :
( c_Com_Obody(X9) != c_Option_Ooption_OSome(X10,tc_Com_Ocom)
| ~ c_Com_OWT__bodies
| c_Com_OWT(X10) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_36_037,plain,
! [X8] :
( c_Com_OWT(c_Com_Ocom_OBODY(X8))
| c_Com_Obody(X8) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_37_038,plain,
! [X19,X20] :
( c_Com_Ocom_OBODY(X20) != c_Com_Ocom_OBODY(X19)
| X20 = X19 ),
inference(variable_rename,[status(thm)],[c_0_23]) ).
fof(c_0_38_039,plain,
! [X2] :
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X2) != X2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_24])])]) ).
fof(c_0_39_040,plain,
! [X4,X5] :
( c_Hoare__Mirabelle_Ostate__not__singleton
| X5 = X4 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_25])])]) ).
fof(c_0_40_041,plain,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
c_0_26 ).
fof(c_0_41_042,plain,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
c_0_27 ).
cnf(c_0_42_043,plain,
( c_Com_OWT(X1)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43_044,plain,
( c_Com_OWT(X2)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44_045,plain,
( X1 = X2
| c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45_046,plain,
( X1 = X2
| c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_46_047,plain,
( X1 = X2
| c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_47_048,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_33]) ).
cnf(c_0_48_049,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_34]) ).
cnf(c_0_49_050,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_35]) ).
cnf(c_0_50_051,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_36]) ).
cnf(c_0_51_052,plain,
( X1 = X2
| c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_52_053,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_53_054,plain,
( X1 = X2
| c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_54_055,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_55,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_56,plain,
( c_Com_OWT(X1)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
c_0_42,
[final] ).
cnf(c_0_57,plain,
( c_Com_OWT(X2)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
c_0_43,
[final] ).
cnf(c_0_58,plain,
( X1 = X2
| c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
c_0_44,
[final] ).
cnf(c_0_59,plain,
( X1 = X2
| c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
c_0_45,
[final] ).
cnf(c_0_60,plain,
( X1 = X2
| c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
c_0_46,
[final] ).
cnf(c_0_61,plain,
( c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| ~ c_Com_OWT(X1)
| ~ c_Com_OWT(X2) ),
c_0_47,
[final] ).
cnf(c_0_62,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_48,
[final] ).
cnf(c_0_63,plain,
( c_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| c_Com_Obody(X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
c_0_49,
[final] ).
cnf(c_0_64,plain,
( c_Com_Obody(X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| c_Com_OWT(c_Com_Ocom_OBODY(X1)) ),
c_0_50,
[final] ).
cnf(c_0_65,plain,
( X1 = X2
| c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
c_0_51,
[final] ).
cnf(c_0_66,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1 ),
c_0_52,
[final] ).
cnf(c_0_67,plain,
( X1 = X2
| c_Hoare__Mirabelle_Ostate__not__singleton ),
c_0_53,
[final] ).
cnf(c_0_68,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 ),
c_0_54,
[final] ).
cnf(c_0_69,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 ),
c_0_55,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_56_0,axiom,
( c_Com_OWT(X1)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_1,axiom,
( ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| c_Com_OWT(X1) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_57_0,axiom,
( c_Com_OWT(X2)
| ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_57_1,axiom,
( ~ c_Com_OWT(c_Com_Ocom_OSemi(X1,X2))
| c_Com_OWT(X2) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_58_0,axiom,
( X1 = X2
| c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_58_1,axiom,
( c_Com_Ocom_OSemi(X3,X1) != c_Com_Ocom_OSemi(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_59_0,axiom,
( X1 = X2
| c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_59_1,axiom,
( c_Com_Ocom_OSemi(X1,X3) != c_Com_Ocom_OSemi(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_60_0,axiom,
( X1 = X2
| c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_60_1,axiom,
( c_Option_Ooption_OSome(X1,X3) != c_Option_Ooption_OSome(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_61_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_61]) ).
cnf(c_0_61_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_61]) ).
cnf(c_0_61_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_61]) ).
cnf(c_0_62_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_62]) ).
cnf(c_0_62_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_62]) ).
cnf(c_0_63_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_63]) ).
cnf(c_0_63_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_63]) ).
cnf(c_0_63_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_63]) ).
cnf(c_0_64_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_64]) ).
cnf(c_0_64_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_64]) ).
cnf(c_0_65_0,axiom,
( X1 = X2
| c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
inference(literals_permutation,[status(thm)],[c_0_65]) ).
cnf(c_0_65_1,axiom,
( c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_65]) ).
cnf(c_0_66_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_66]) ).
cnf(c_0_66_1,axiom,
( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X1) != X1
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(literals_permutation,[status(thm)],[c_0_66]) ).
cnf(c_0_67_0,axiom,
( X1 = X2
| c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(literals_permutation,[status(thm)],[c_0_67]) ).
cnf(c_0_67_1,axiom,
( c_Hoare__Mirabelle_Ostate__not__singleton
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_67]) ).
cnf(c_0_68_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 ),
inference(literals_permutation,[status(thm)],[c_0_68]) ).
cnf(c_0_68_1,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(literals_permutation,[status(thm)],[c_0_68]) ).
cnf(c_0_69_0,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 ),
inference(literals_permutation,[status(thm)],[c_0_69]) ).
cnf(c_0_69_1,axiom,
( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(literals_permutation,[status(thm)],[c_0_69]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_056,negated_conjecture,
c_Com_OWT(v_c),
file('<stdin>',cls_conjecture_2) ).
fof(c_0_1_057,negated_conjecture,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
file('<stdin>',cls_conjecture_3) ).
fof(c_0_2_058,negated_conjecture,
c_Com_OWT__bodies,
file('<stdin>',cls_conjecture_1) ).
fof(c_0_3_059,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('<stdin>',cls_conjecture_0) ).
fof(c_0_4_060,negated_conjecture,
c_Com_OWT(v_c),
c_0_0 ).
fof(c_0_5_061,negated_conjecture,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_6_062,negated_conjecture,
c_Com_OWT__bodies,
c_0_2 ).
fof(c_0_7_063,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
c_0_3 ).
fof(c_0_8_064,negated_conjecture,
c_Com_OWT(v_c),
c_0_4 ).
fof(c_0_9_065,negated_conjecture,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
c_0_5 ).
fof(c_0_10_066,negated_conjecture,
c_Com_OWT__bodies,
c_0_6 ).
fof(c_0_11_067,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
c_0_7 ).
cnf(c_0_12_068,negated_conjecture,
c_Com_OWT(v_c),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13_069,negated_conjecture,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14_070,negated_conjecture,
c_Com_OWT__bodies,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15_071,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16_072,negated_conjecture,
c_Com_OWT(v_c),
c_0_12,
[final] ).
cnf(c_0_17_073,negated_conjecture,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
c_0_13,
[final] ).
cnf(c_0_18_074,negated_conjecture,
c_Com_OWT__bodies,
c_0_14,
[final] ).
cnf(c_0_19_075,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
c_0_15,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_41,negated_conjecture,
~ c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/tmp/iprover_modulo_cc534b.p',c_0_17) ).
cnf(c_44,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/tmp/iprover_modulo_cc534b.p',c_0_19) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_41,c_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV904-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.14/0.33 % Computer : n019.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Wed Jun 15 17:13:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % 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_9476af.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_cc534b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_75adbd | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.43 % --bmc1_dump_file -
% 0.20/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.43 % --bmc1_ucm_extend_mode 1
% 0.20/0.43 % --bmc1_ucm_init_mode 2
% 0.20/0.43 % --bmc1_ucm_cone_mode none
% 0.20/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.43 % --bmc1_ucm_relax_model 4
% 0.20/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.43 % --bmc1_ucm_layered_model none
% 0.20/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.43
% 0.20/0.43 % ------ AIG Options
% 0.20/0.43
% 0.20/0.43 % --aig_mode false
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation Options
% 0.20/0.43
% 0.20/0.43 % --instantiation_flag true
% 0.20/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43 % --inst_solver_per_active 750
% 0.20/0.43 % --inst_solver_calls_frac 0.5
% 0.20/0.43 % --inst_passive_queue_type priority_queues
% 0.20/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43 % --inst_passive_queues_freq [25;2]
% 0.20/0.43 % --inst_dismatching true
% 0.20/0.43 % --inst_eager_unprocessed_to_passive true
% 0.20/0.43 % --inst_prop_sim_given true
% 0.20/0.43 % --inst_prop_sim_new false
% 0.20/0.43 % --inst_orphan_elimination true
% 0.20/0.43 % --inst_learning_loop_flag true
% 0.20/0.43 % --inst_learning_start 3000
% 0.20/0.43 % --inst_learning_factor 2
% 0.20/0.43 % --inst_start_prop_sim_after_learn 3
% 0.20/0.43 % --inst_sel_renew solver
% 0.20/0.43 % --inst_lit_activity_flag true
% 0.20/0.43 % --inst_out_proof true
% 0.20/0.43
% 0.20/0.43 % ------ Resolution Options
% 0.20/0.43
% 0.20/0.43 % --resolution_flag true
% 0.20/0.43 % --res_lit_sel kbo_max
% 0.20/0.43 % --res_to_prop_solver none
% 0.20/0.43 % --res_prop_simpl_new false
% 0.20/0.43 % --res_prop_simpl_given false
% 0.20/0.43 % --res_passive_queue_type priority_queues
% 0.20/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43 % --res_passive_queues_freq [15;5]
% 0.20/0.43 % --res_forward_subs full
% 0.20/0.43 % --res_backward_subs full
% 0.20/0.43 % --res_forward_subs_resolution true
% 0.20/0.43 % --res_backward_subs_resolution true
% 0.20/0.43 % --res_orphan_elimination false
% 0.20/0.43 % --res_time_limit 1000.
% 0.20/0.43 % --res_out_proof true
% 0.20/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_9476af.s
% 0.20/0.43 % --modulo true
% 0.20/0.43
% 0.20/0.43 % ------ Combination Options
% 0.20/0.43
% 0.20/0.43 % --comb_res_mult 1000
% 0.20/0.43 % --comb_inst_mult 300
% 0.20/0.43 % ------
% 0.20/0.43
% 0.20/0.43 % ------ Parsing...% successful
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % ------ Statistics
% 0.20/0.43
% 0.20/0.43 % ------ General
% 0.20/0.43
% 0.20/0.43 % num_of_input_clauses: 45
% 0.20/0.43 % num_of_input_neg_conjectures: 4
% 0.20/0.43 % num_of_splits: 0
% 0.20/0.43 % num_of_split_atoms: 0
% 0.20/0.43 % num_of_sem_filtered_clauses: 0
% 0.20/0.43 % num_of_subtypes: 0
% 0.20/0.43 % monotx_restored_types: 0
% 0.20/0.43 % sat_num_of_epr_types: 0
% 0.20/0.43 % sat_num_of_non_cyclic_types: 0
% 0.20/0.43 % sat_guarded_non_collapsed_types: 0
% 0.20/0.43 % is_epr: 0
% 0.20/0.43 % is_horn: 0
% 0.20/0.43 % has_eq: 0
% 0.20/0.43 % num_pure_diseq_elim: 0
% 0.20/0.43 % simp_replaced_by: 0
% 0.20/0.43 % res_preprocessed: 0
% 0.20/0.43 % prep_upred: 0
% 0.20/0.43 % prep_unflattend: 0
% 0.20/0.43 % pred_elim_cands: 0
% 0.20/0.43 % pred_elim: 0
% 0.20/0.43 % pred_elim_cl: 0
% 0.20/0.43 % pred_elim_cycles: 0
% 0.20/0.43 % forced_gc_time: 0
% 0.20/0.43 % gc_basic_clause_elim: 0
% 0.20/0.43 % parsing_time: 0.002
% 0.20/0.43 % sem_filter_time: 0.
% 0.20/0.43 % pred_elim_time: 0.
% 0.20/0.43 % out_proof_time: 0.
% 0.20/0.43 % monotx_time: 0.
% 0.20/0.43 % subtype_inf_time: 0.
% 0.20/0.43 % unif_index_cands_time: 0.
% 0.20/0.43 % unif_index_add_time: 0.
% 0.20/0.43 % total_time: 0.019
% 0.20/0.43 % num_of_symbols: 42
% 0.20/0.43 % num_of_terms: 115
% 0.20/0.43
% 0.20/0.43 % ------ Propositional Solver
% 0.20/0.43
% 0.20/0.43 % prop_solver_calls: 0
% 0.20/0.43 % prop_fast_solver_calls: 0
% 0.20/0.43 % prop_num_of_clauses: 3
% 0.20/0.43 % prop_preprocess_simplified: 0
% 0.20/0.43 % prop_fo_subsumed: 0
% 0.20/0.43 % prop_solver_time: 0.
% 0.20/0.43 % prop_fast_solver_time: 0.
% 0.20/0.43 % prop_unsat_core_time: 0.
% 0.20/0.43
% 0.20/0.43 % ------ QBF
% 0.20/0.43
% 0.20/0.43 % qbf_q_res: 0
% 0.20/0.43 % qbf_num_tautologies: 0
% 0.20/0.43 % qbf_prep_cycles: 0
% 0.20/0.43
% 0.20/0.43 % ------ BMC1
% 0.20/0.43
% 0.20/0.43 % bmc1_current_bound: -1
% 0.20/0.43 % bmc1_last_solved_bound: -1
% 0.20/0.43 % bmc1_unsat_core_size: -1
% 0.20/0.43 % bmc1_unsat_core_parents_size: -1
% 0.20/0.43 % bmc1_merge_next_fun: 0
% 0.20/0.43 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.43
% 0.20/0.43 % ------ Instantiation
% 0.20/0.43
% 0.20/0.43 % inst_num_of_clauses: undef
% 0.20/0.43 % inst_num_in_passive: undef
% 0.20/0.43 % inst_num_in_active: 0
% 0.20/0.43 % inst_num_in_unprocessed: 0
% 0.20/0.43 % inst_num_of_loops: 0
% 0.20/0.43 % inst_num_of_learning_restarts: 0
% 0.20/0.43 % inst_num_moves_active_passive: 0
% 0.20/0.43 % inst_lit_activity: 0
% 0.20/0.43 % inst_lit_activity_moves: 0
% 0.20/0.43 % inst_num_tautologies: 0
% 0.20/0.43 % inst_num_prop_implied: 0
% 0.20/0.43 % inst_num_existing_simplified: 0
% 0.20/0.43 % inst_num_eq_res_simplified: 0
% 0.20/0.43 % inst_num_child_elim: 0
% 0.20/0.43 % inst_num_of_dismatching_blockings: 0
% 0.20/0.43 % inst_num_of_non_proper_insts: 0
% 0.20/0.43 % inst_num_of_duplicates: 0
% 0.20/0.43 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.43 % inst_dismatching_checking_time: 0.
% 0.20/0.43
% 0.20/0.43 % ------ Resolution
% 0.20/0.43
% 0.20/0.43 % res_num_of_clauses: undef
% 0.20/0.43 % res_num_in_passive: undef
% 0.20/0.43 % res_num_in_active: 0
% 0.20/0.43 % res_num_of_loops: 0
% 0.20/0.43 % res_forward_subset_subsumed: 0
% 0.20/0.43 % res_backward_subset_subsumed: 0
% 0.20/0.43 % res_forward_subsumed: 0
% 0.20/0.43 % res_backward_subsumed: 0
% 0.20/0.43 % res_forward_subsumption_resolution: 0
% 0.20/0.43 % res_backward_subsumption_resolution: 0
% 0.20/0.43 % res_clause_to_clause_subsumption: 0
% 0.20/0.43 % res_orphan_elimination: 0
% 0.20/0.43 % res_tautology_del: 0
% 0.20/0.43 % res_num_eq_res_simplified: 0
% 0.20/0.43 % res_num_sel_changes: 0
% 0.20/0.43 % res_moves_from_active_to_pass: 0
% 0.20/0.43
% 0.20/0.43 % Status Unsatisfiable
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------