%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Thu Jul 21 07:23:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.42s
% Output : CNFRefutation 0.18s
% 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(u_1_s3_goal_1,axiom,
~ u_1,
input ).
fof(u_1_s3_goal_1_0,plain,
( ~ u_1
| $false ),
inference(orientation,[status(thm)],[u_1_s3_goal_1]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> ~ u_1 ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[u_1_s3_goal_1_0,def_lhs_atom1]) ).
% Start CNF derivation
fof(c_0_0,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_1,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2,plain,
lhs_atom1,
c_0_1 ).
cnf(c_0_3,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,plain,
lhs_atom1,
c_0_3,
[final] ).
% End CNF derivation
cnf(c_0_4_0,axiom,
~ u_1,
inference(unfold_definition,[status(thm)],[c_0_4,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
( u_2
| p_0
| ~ p_1
| ~ p_2 ),
file('<stdin>',u_s3_type11_1) ).
fof(c_0_1_002,axiom,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
file('<stdin>',u_s3_type11_2) ).
fof(c_0_2_003,axiom,
( u_4
| p_1
| ~ p_2
| ~ p_3 ),
file('<stdin>',u_s3_type11_3) ).
fof(c_0_3_004,axiom,
( u_5
| p_1
| ~ q_2
| ~ q_3 ),
file('<stdin>',u_s3_type11_4) ).
fof(c_0_4_005,axiom,
( u_6
| p_2
| ~ p_3
| ~ p_4 ),
file('<stdin>',u_s3_type11_5) ).
fof(c_0_5,axiom,
( u_7
| p_2
| ~ q_3
| ~ q_4 ),
file('<stdin>',u_s3_type11_6) ).
fof(c_0_6,axiom,
( u_8
| p_3
| ~ p_4
| ~ p_5 ),
file('<stdin>',u_s3_type11_7) ).
fof(c_0_7,axiom,
( u_9
| p_3
| ~ q_4
| ~ q_5 ),
file('<stdin>',u_s3_type11_8) ).
fof(c_0_8,axiom,
( u_10
| p_4
| ~ p_5
| ~ p_6 ),
file('<stdin>',u_s3_type11_9) ).
fof(c_0_9,axiom,
( u_11
| p_4
| ~ q_5
| ~ q_6 ),
file('<stdin>',u_s3_type11_10) ).
fof(c_0_10,axiom,
( u_12
| p_5
| ~ p_6
| ~ p_7 ),
file('<stdin>',u_s3_type11_11) ).
fof(c_0_11,axiom,
( u_13
| p_5
| ~ q_6
| ~ q_7 ),
file('<stdin>',u_s3_type11_12) ).
fof(c_0_12,axiom,
( u_14
| p_6
| ~ p_7
| ~ p_8 ),
file('<stdin>',u_s3_type11_13) ).
fof(c_0_13,axiom,
( u_15
| p_6
| ~ q_7
| ~ q_8 ),
file('<stdin>',u_s3_type11_14) ).
fof(c_0_14,axiom,
( u_16
| p_7
| ~ p_8
| ~ p_9 ),
file('<stdin>',u_s3_type11_15) ).
fof(c_0_15,axiom,
( u_17
| p_7
| ~ q_8
| ~ q_9 ),
file('<stdin>',u_s3_type11_16) ).
fof(c_0_16,axiom,
( u_18
| q_0
| ~ p_1
| ~ q_2 ),
file('<stdin>',u_s3_type12_1) ).
fof(c_0_17,axiom,
( u_19
| q_0
| ~ q_1
| ~ p_2 ),
file('<stdin>',u_s3_type12_2) ).
fof(c_0_18,axiom,
( u_20
| q_1
| ~ p_2
| ~ q_3 ),
file('<stdin>',u_s3_type12_3) ).
fof(c_0_19,axiom,
( u_21
| q_1
| ~ q_2
| ~ p_3 ),
file('<stdin>',u_s3_type12_4) ).
fof(c_0_20,axiom,
( u_22
| q_2
| ~ p_3
| ~ q_4 ),
file('<stdin>',u_s3_type12_5) ).
fof(c_0_21,axiom,
( u_23
| q_2
| ~ q_3
| ~ p_4 ),
file('<stdin>',u_s3_type12_6) ).
fof(c_0_22,axiom,
( u_24
| q_3
| ~ p_4
| ~ q_5 ),
file('<stdin>',u_s3_type12_7) ).
fof(c_0_23,axiom,
( u_25
| q_3
| ~ q_4
| ~ p_5 ),
file('<stdin>',u_s3_type12_8) ).
fof(c_0_24,axiom,
( u_26
| q_4
| ~ p_5
| ~ q_6 ),
file('<stdin>',u_s3_type12_9) ).
fof(c_0_25,axiom,
( u_27
| q_4
| ~ q_5
| ~ p_6 ),
file('<stdin>',u_s3_type12_10) ).
fof(c_0_26,axiom,
( u_28
| q_5
| ~ p_6
| ~ q_7 ),
file('<stdin>',u_s3_type12_11) ).
fof(c_0_27,axiom,
( u_29
| q_5
| ~ q_6
| ~ p_7 ),
file('<stdin>',u_s3_type12_12) ).
fof(c_0_28,axiom,
( u_30
| q_6
| ~ p_7
| ~ q_8 ),
file('<stdin>',u_s3_type12_13) ).
fof(c_0_29,axiom,
( u_31
| q_6
| ~ q_7
| ~ p_8 ),
file('<stdin>',u_s3_type12_14) ).
fof(c_0_30,axiom,
( u_32
| q_7
| ~ p_8
| ~ q_9 ),
file('<stdin>',u_s3_type12_15) ).
fof(c_0_31,axiom,
( u_33
| q_7
| ~ q_8
| ~ p_9 ),
file('<stdin>',u_s3_type12_16) ).
fof(c_0_32,axiom,
( u_34
| p_9
| ~ p_4 ),
file('<stdin>',u_s3_type2_1) ).
fof(c_0_33,axiom,
( u_35
| p_10
| ~ p_5 ),
file('<stdin>',u_s3_type2_2) ).
fof(c_0_34,axiom,
( u_36
| q_9
| ~ q_4 ),
file('<stdin>',u_s3_type2_3) ).
fof(c_0_35,axiom,
( u_37
| q_10
| ~ q_5 ),
file('<stdin>',u_s3_type2_4) ).
fof(c_0_36,axiom,
( p_0
| ~ u_2 ),
file('<stdin>',u_2_s3_type11_1) ).
fof(c_0_37,axiom,
( p_0
| ~ u_3 ),
file('<stdin>',u_3_s3_type11_2) ).
fof(c_0_38,axiom,
( p_1
| ~ u_4 ),
file('<stdin>',u_4_s3_type11_3) ).
fof(c_0_39,axiom,
( p_1
| ~ u_5 ),
file('<stdin>',u_5_s3_type11_4) ).
fof(c_0_40,axiom,
( p_2
| ~ u_6 ),
file('<stdin>',u_6_s3_type11_5) ).
fof(c_0_41,axiom,
( p_2
| ~ u_7 ),
file('<stdin>',u_7_s3_type11_6) ).
fof(c_0_42,axiom,
( p_3
| ~ u_8 ),
file('<stdin>',u_8_s3_type11_7) ).
fof(c_0_43,axiom,
( p_3
| ~ u_9 ),
file('<stdin>',u_9_s3_type11_8) ).
fof(c_0_44,axiom,
( p_4
| ~ u_10 ),
file('<stdin>',u_10_s3_type11_9) ).
fof(c_0_45,axiom,
( p_4
| ~ u_11 ),
file('<stdin>',u_11_s3_type11_10) ).
fof(c_0_46,axiom,
( p_5
| ~ u_12 ),
file('<stdin>',u_12_s3_type11_11) ).
fof(c_0_47,axiom,
( p_5
| ~ u_13 ),
file('<stdin>',u_13_s3_type11_12) ).
fof(c_0_48,axiom,
( p_6
| ~ u_14 ),
file('<stdin>',u_14_s3_type11_13) ).
fof(c_0_49,axiom,
( p_6
| ~ u_15 ),
file('<stdin>',u_15_s3_type11_14) ).
fof(c_0_50,axiom,
( p_7
| ~ u_16 ),
file('<stdin>',u_16_s3_type11_15) ).
fof(c_0_51,axiom,
( p_7
| ~ u_17 ),
file('<stdin>',u_17_s3_type11_16) ).
fof(c_0_52,axiom,
( q_0
| ~ u_18 ),
file('<stdin>',u_18_s3_type12_1) ).
fof(c_0_53,axiom,
( q_0
| ~ u_19 ),
file('<stdin>',u_19_s3_type12_2) ).
fof(c_0_54,axiom,
( q_1
| ~ u_20 ),
file('<stdin>',u_20_s3_type12_3) ).
fof(c_0_55,axiom,
( q_1
| ~ u_21 ),
file('<stdin>',u_21_s3_type12_4) ).
fof(c_0_56,axiom,
( q_2
| ~ u_22 ),
file('<stdin>',u_22_s3_type12_5) ).
fof(c_0_57,axiom,
( q_2
| ~ u_23 ),
file('<stdin>',u_23_s3_type12_6) ).
fof(c_0_58,axiom,
( q_3
| ~ u_24 ),
file('<stdin>',u_24_s3_type12_7) ).
fof(c_0_59,axiom,
( q_3
| ~ u_25 ),
file('<stdin>',u_25_s3_type12_8) ).
fof(c_0_60,axiom,
( q_4
| ~ u_26 ),
file('<stdin>',u_26_s3_type12_9) ).
fof(c_0_61,axiom,
( q_4
| ~ u_27 ),
file('<stdin>',u_27_s3_type12_10) ).
fof(c_0_62,axiom,
( q_5
| ~ u_28 ),
file('<stdin>',u_28_s3_type12_11) ).
fof(c_0_63,axiom,
( q_5
| ~ u_29 ),
file('<stdin>',u_29_s3_type12_12) ).
fof(c_0_64,axiom,
( q_6
| ~ u_30 ),
file('<stdin>',u_30_s3_type12_13) ).
fof(c_0_65,axiom,
( q_6
| ~ u_31 ),
file('<stdin>',u_31_s3_type12_14) ).
fof(c_0_66,axiom,
( q_7
| ~ u_32 ),
file('<stdin>',u_32_s3_type12_15) ).
fof(c_0_67,axiom,
( q_7
| ~ u_33 ),
file('<stdin>',u_33_s3_type12_16) ).
fof(c_0_68,axiom,
( p_9
| ~ u_34 ),
file('<stdin>',u_34_s3_type2_1) ).
fof(c_0_69,axiom,
( p_10
| ~ u_35 ),
file('<stdin>',u_35_s3_type2_2) ).
fof(c_0_70,axiom,
( q_9
| ~ u_36 ),
file('<stdin>',u_36_s3_type2_3) ).
fof(c_0_71,axiom,
( q_10
| ~ u_37 ),
file('<stdin>',u_37_s3_type2_4) ).
fof(c_0_72,axiom,
( p_8
| ~ u_38 ),
file('<stdin>',u_38_t3_1) ).
fof(c_0_73,axiom,
( p_9
| ~ u_39 ),
file('<stdin>',u_39_t3_2) ).
fof(c_0_74,axiom,
( q_8
| ~ u_40 ),
file('<stdin>',u_40_t3_3) ).
fof(c_0_75,axiom,
( q_9
| ~ u_41 ),
file('<stdin>',u_41_t3_4) ).
fof(c_0_76,axiom,
( u_38
| p_8 ),
file('<stdin>',u_t3_1) ).
fof(c_0_77,axiom,
( u_39
| p_9 ),
file('<stdin>',u_t3_2) ).
fof(c_0_78,axiom,
( u_40
| q_8 ),
file('<stdin>',u_t3_3) ).
fof(c_0_79,axiom,
( u_41
| q_9 ),
file('<stdin>',u_t3_4) ).
fof(c_0_80,plain,
( u_2
| p_0
| ~ p_1
| ~ p_2 ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_81,plain,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_82,plain,
( u_4
| p_1
| ~ p_2
| ~ p_3 ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_83,plain,
( u_5
| p_1
| ~ q_2
| ~ q_3 ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_84,plain,
( u_6
| p_2
| ~ p_3
| ~ p_4 ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_85,plain,
( u_7
| p_2
| ~ q_3
| ~ q_4 ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_86,plain,
( u_8
| p_3
| ~ p_4
| ~ p_5 ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_87,plain,
( u_9
| p_3
| ~ q_4
| ~ q_5 ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_88,plain,
( u_10
| p_4
| ~ p_5
| ~ p_6 ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_89,plain,
( u_11
| p_4
| ~ q_5
| ~ q_6 ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_90,plain,
( u_12
| p_5
| ~ p_6
| ~ p_7 ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_91,plain,
( u_13
| p_5
| ~ q_6
| ~ q_7 ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_92,plain,
( u_14
| p_6
| ~ p_7
| ~ p_8 ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_93,plain,
( u_15
| p_6
| ~ q_7
| ~ q_8 ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_94,plain,
( u_16
| p_7
| ~ p_8
| ~ p_9 ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_95,plain,
( u_17
| p_7
| ~ q_8
| ~ q_9 ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_96,plain,
( u_18
| q_0
| ~ p_1
| ~ q_2 ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_97,plain,
( u_19
| q_0
| ~ q_1
| ~ p_2 ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_98,plain,
( u_20
| q_1
| ~ p_2
| ~ q_3 ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_99,plain,
( u_21
| q_1
| ~ q_2
| ~ p_3 ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_100,plain,
( u_22
| q_2
| ~ p_3
| ~ q_4 ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_101,plain,
( u_23
| q_2
| ~ q_3
| ~ p_4 ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_102,plain,
( u_24
| q_3
| ~ p_4
| ~ q_5 ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_103,plain,
( u_25
| q_3
| ~ q_4
| ~ p_5 ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_104,plain,
( u_26
| q_4
| ~ p_5
| ~ q_6 ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_105,plain,
( u_27
| q_4
| ~ q_5
| ~ p_6 ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_106,plain,
( u_28
| q_5
| ~ p_6
| ~ q_7 ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_107,plain,
( u_29
| q_5
| ~ q_6
| ~ p_7 ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_108,plain,
( u_30
| q_6
| ~ p_7
| ~ q_8 ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_109,plain,
( u_31
| q_6
| ~ q_7
| ~ p_8 ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_110,plain,
( u_32
| q_7
| ~ p_8
| ~ q_9 ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_111,plain,
( u_33
| q_7
| ~ q_8
| ~ p_9 ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_112,plain,
( u_34
| p_9
| ~ p_4 ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_113,plain,
( u_35
| p_10
| ~ p_5 ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_114,plain,
( u_36
| q_9
| ~ q_4 ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_115,plain,
( u_37
| q_10
| ~ q_5 ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_116,plain,
( p_0
| ~ u_2 ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_117,plain,
( p_0
| ~ u_3 ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_118,plain,
( p_1
| ~ u_4 ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_119,plain,
( p_1
| ~ u_5 ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_120,plain,
( p_2
| ~ u_6 ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_121,plain,
( p_2
| ~ u_7 ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_122,plain,
( p_3
| ~ u_8 ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_123,plain,
( p_3
| ~ u_9 ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_124,plain,
( p_4
| ~ u_10 ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_125,plain,
( p_4
| ~ u_11 ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_126,plain,
( p_5
| ~ u_12 ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_127,plain,
( p_5
| ~ u_13 ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_128,plain,
( p_6
| ~ u_14 ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_129,plain,
( p_6
| ~ u_15 ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_130,plain,
( p_7
| ~ u_16 ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_131,plain,
( p_7
| ~ u_17 ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_132,plain,
( q_0
| ~ u_18 ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_133,plain,
( q_0
| ~ u_19 ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_134,plain,
( q_1
| ~ u_20 ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_135,plain,
( q_1
| ~ u_21 ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_136,plain,
( q_2
| ~ u_22 ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_137,plain,
( q_2
| ~ u_23 ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_138,plain,
( q_3
| ~ u_24 ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_139,plain,
( q_3
| ~ u_25 ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_140,plain,
( q_4
| ~ u_26 ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_141,plain,
( q_4
| ~ u_27 ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_142,plain,
( q_5
| ~ u_28 ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_143,plain,
( q_5
| ~ u_29 ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_144,plain,
( q_6
| ~ u_30 ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_145,plain,
( q_6
| ~ u_31 ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_146,plain,
( q_7
| ~ u_32 ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_147,plain,
( q_7
| ~ u_33 ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_148,plain,
( p_9
| ~ u_34 ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_149,plain,
( p_10
| ~ u_35 ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_150,plain,
( q_9
| ~ u_36 ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_151,plain,
( q_10
| ~ u_37 ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_152,plain,
( p_8
| ~ u_38 ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_153,plain,
( p_9
| ~ u_39 ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_154,plain,
( q_8
| ~ u_40 ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_155,plain,
( q_9
| ~ u_41 ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_156,axiom,
( u_38
| p_8 ),
c_0_76 ).
fof(c_0_157,axiom,
( u_39
| p_9 ),
c_0_77 ).
fof(c_0_158,axiom,
( u_40
| q_8 ),
c_0_78 ).
fof(c_0_159,axiom,
( u_41
| q_9 ),
c_0_79 ).
fof(c_0_160,plain,
( u_2
| p_0
| ~ p_1
| ~ p_2 ),
c_0_80 ).
fof(c_0_161,plain,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
c_0_81 ).
fof(c_0_162,plain,
( u_4
| p_1
| ~ p_2
| ~ p_3 ),
c_0_82 ).
fof(c_0_163,plain,
( u_5
| p_1
| ~ q_2
| ~ q_3 ),
c_0_83 ).
fof(c_0_164,plain,
( u_6
| p_2
| ~ p_3
| ~ p_4 ),
c_0_84 ).
fof(c_0_165,plain,
( u_7
| p_2
| ~ q_3
| ~ q_4 ),
c_0_85 ).
fof(c_0_166,plain,
( u_8
| p_3
| ~ p_4
| ~ p_5 ),
c_0_86 ).
fof(c_0_167,plain,
( u_9
| p_3
| ~ q_4
| ~ q_5 ),
c_0_87 ).
fof(c_0_168,plain,
( u_10
| p_4
| ~ p_5
| ~ p_6 ),
c_0_88 ).
fof(c_0_169,plain,
( u_11
| p_4
| ~ q_5
| ~ q_6 ),
c_0_89 ).
fof(c_0_170,plain,
( u_12
| p_5
| ~ p_6
| ~ p_7 ),
c_0_90 ).
fof(c_0_171,plain,
( u_13
| p_5
| ~ q_6
| ~ q_7 ),
c_0_91 ).
fof(c_0_172,plain,
( u_14
| p_6
| ~ p_7
| ~ p_8 ),
c_0_92 ).
fof(c_0_173,plain,
( u_15
| p_6
| ~ q_7
| ~ q_8 ),
c_0_93 ).
fof(c_0_174,plain,
( u_16
| p_7
| ~ p_8
| ~ p_9 ),
c_0_94 ).
fof(c_0_175,plain,
( u_17
| p_7
| ~ q_8
| ~ q_9 ),
c_0_95 ).
fof(c_0_176,plain,
( u_18
| q_0
| ~ p_1
| ~ q_2 ),
c_0_96 ).
fof(c_0_177,plain,
( u_19
| q_0
| ~ q_1
| ~ p_2 ),
c_0_97 ).
fof(c_0_178,plain,
( u_20
| q_1
| ~ p_2
| ~ q_3 ),
c_0_98 ).
fof(c_0_179,plain,
( u_21
| q_1
| ~ q_2
| ~ p_3 ),
c_0_99 ).
fof(c_0_180,plain,
( u_22
| q_2
| ~ p_3
| ~ q_4 ),
c_0_100 ).
fof(c_0_181,plain,
( u_23
| q_2
| ~ q_3
| ~ p_4 ),
c_0_101 ).
fof(c_0_182,plain,
( u_24
| q_3
| ~ p_4
| ~ q_5 ),
c_0_102 ).
fof(c_0_183,plain,
( u_25
| q_3
| ~ q_4
| ~ p_5 ),
c_0_103 ).
fof(c_0_184,plain,
( u_26
| q_4
| ~ p_5
| ~ q_6 ),
c_0_104 ).
fof(c_0_185,plain,
( u_27
| q_4
| ~ q_5
| ~ p_6 ),
c_0_105 ).
fof(c_0_186,plain,
( u_28
| q_5
| ~ p_6
| ~ q_7 ),
c_0_106 ).
fof(c_0_187,plain,
( u_29
| q_5
| ~ q_6
| ~ p_7 ),
c_0_107 ).
fof(c_0_188,plain,
( u_30
| q_6
| ~ p_7
| ~ q_8 ),
c_0_108 ).
fof(c_0_189,plain,
( u_31
| q_6
| ~ q_7
| ~ p_8 ),
c_0_109 ).
fof(c_0_190,plain,
( u_32
| q_7
| ~ p_8
| ~ q_9 ),
c_0_110 ).
fof(c_0_191,plain,
( u_33
| q_7
| ~ q_8
| ~ p_9 ),
c_0_111 ).
fof(c_0_192,plain,
( u_34
| p_9
| ~ p_4 ),
c_0_112 ).
fof(c_0_193,plain,
( u_35
| p_10
| ~ p_5 ),
c_0_113 ).
fof(c_0_194,plain,
( u_36
| q_9
| ~ q_4 ),
c_0_114 ).
fof(c_0_195,plain,
( u_37
| q_10
| ~ q_5 ),
c_0_115 ).
fof(c_0_196,plain,
( p_0
| ~ u_2 ),
c_0_116 ).
fof(c_0_197,plain,
( p_0
| ~ u_3 ),
c_0_117 ).
fof(c_0_198,plain,
( p_1
| ~ u_4 ),
c_0_118 ).
fof(c_0_199,plain,
( p_1
| ~ u_5 ),
c_0_119 ).
fof(c_0_200,plain,
( p_2
| ~ u_6 ),
c_0_120 ).
fof(c_0_201,plain,
( p_2
| ~ u_7 ),
c_0_121 ).
fof(c_0_202,plain,
( p_3
| ~ u_8 ),
c_0_122 ).
fof(c_0_203,plain,
( p_3
| ~ u_9 ),
c_0_123 ).
fof(c_0_204,plain,
( p_4
| ~ u_10 ),
c_0_124 ).
fof(c_0_205,plain,
( p_4
| ~ u_11 ),
c_0_125 ).
fof(c_0_206,plain,
( p_5
| ~ u_12 ),
c_0_126 ).
fof(c_0_207,plain,
( p_5
| ~ u_13 ),
c_0_127 ).
fof(c_0_208,plain,
( p_6
| ~ u_14 ),
c_0_128 ).
fof(c_0_209,plain,
( p_6
| ~ u_15 ),
c_0_129 ).
fof(c_0_210,plain,
( p_7
| ~ u_16 ),
c_0_130 ).
fof(c_0_211,plain,
( p_7
| ~ u_17 ),
c_0_131 ).
fof(c_0_212,plain,
( q_0
| ~ u_18 ),
c_0_132 ).
fof(c_0_213,plain,
( q_0
| ~ u_19 ),
c_0_133 ).
fof(c_0_214,plain,
( q_1
| ~ u_20 ),
c_0_134 ).
fof(c_0_215,plain,
( q_1
| ~ u_21 ),
c_0_135 ).
fof(c_0_216,plain,
( q_2
| ~ u_22 ),
c_0_136 ).
fof(c_0_217,plain,
( q_2
| ~ u_23 ),
c_0_137 ).
fof(c_0_218,plain,
( q_3
| ~ u_24 ),
c_0_138 ).
fof(c_0_219,plain,
( q_3
| ~ u_25 ),
c_0_139 ).
fof(c_0_220,plain,
( q_4
| ~ u_26 ),
c_0_140 ).
fof(c_0_221,plain,
( q_4
| ~ u_27 ),
c_0_141 ).
fof(c_0_222,plain,
( q_5
| ~ u_28 ),
c_0_142 ).
fof(c_0_223,plain,
( q_5
| ~ u_29 ),
c_0_143 ).
fof(c_0_224,plain,
( q_6
| ~ u_30 ),
c_0_144 ).
fof(c_0_225,plain,
( q_6
| ~ u_31 ),
c_0_145 ).
fof(c_0_226,plain,
( q_7
| ~ u_32 ),
c_0_146 ).
fof(c_0_227,plain,
( q_7
| ~ u_33 ),
c_0_147 ).
fof(c_0_228,plain,
( p_9
| ~ u_34 ),
c_0_148 ).
fof(c_0_229,plain,
( p_10
| ~ u_35 ),
c_0_149 ).
fof(c_0_230,plain,
( q_9
| ~ u_36 ),
c_0_150 ).
fof(c_0_231,plain,
( q_10
| ~ u_37 ),
c_0_151 ).
fof(c_0_232,plain,
( p_8
| ~ u_38 ),
c_0_152 ).
fof(c_0_233,plain,
( p_9
| ~ u_39 ),
c_0_153 ).
fof(c_0_234,plain,
( q_8
| ~ u_40 ),
c_0_154 ).
fof(c_0_235,plain,
( q_9
| ~ u_41 ),
c_0_155 ).
fof(c_0_236,axiom,
( u_38
| p_8 ),
c_0_156 ).
fof(c_0_237,axiom,
( u_39
| p_9 ),
c_0_157 ).
fof(c_0_238,axiom,
( u_40
| q_8 ),
c_0_158 ).
fof(c_0_239,axiom,
( u_41
| q_9 ),
c_0_159 ).
cnf(c_0_240,plain,
( p_0
| u_2
| ~ p_2
| ~ p_1 ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_241,plain,
( p_0
| u_3
| ~ q_2
| ~ q_1 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_242,plain,
( p_1
| u_4
| ~ p_3
| ~ p_2 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_243,plain,
( p_1
| u_5
| ~ q_3
| ~ q_2 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_244,plain,
( p_2
| u_6
| ~ p_4
| ~ p_3 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_245,plain,
( p_2
| u_7
| ~ q_4
| ~ q_3 ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_246,plain,
( p_3
| u_8
| ~ p_5
| ~ p_4 ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_247,plain,
( p_3
| u_9
| ~ q_5
| ~ q_4 ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_248,plain,
( p_4
| u_10
| ~ p_6
| ~ p_5 ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_249,plain,
( p_4
| u_11
| ~ q_6
| ~ q_5 ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_250,plain,
( p_5
| u_12
| ~ p_7
| ~ p_6 ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_251,plain,
( p_5
| u_13
| ~ q_7
| ~ q_6 ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_252,plain,
( p_6
| u_14
| ~ p_8
| ~ p_7 ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_253,plain,
( p_6
| u_15
| ~ q_8
| ~ q_7 ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_254,plain,
( p_7
| u_16
| ~ p_9
| ~ p_8 ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_255,plain,
( p_7
| u_17
| ~ q_9
| ~ q_8 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_256,plain,
( q_0
| u_18
| ~ q_2
| ~ p_1 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_257,plain,
( q_0
| u_19
| ~ p_2
| ~ q_1 ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_258,plain,
( q_1
| u_20
| ~ q_3
| ~ p_2 ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_259,plain,
( q_1
| u_21
| ~ p_3
| ~ q_2 ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_260,plain,
( q_2
| u_22
| ~ q_4
| ~ p_3 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_261,plain,
( q_2
| u_23
| ~ p_4
| ~ q_3 ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_262,plain,
( q_3
| u_24
| ~ q_5
| ~ p_4 ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_263,plain,
( q_3
| u_25
| ~ p_5
| ~ q_4 ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_264,plain,
( q_4
| u_26
| ~ q_6
| ~ p_5 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_265,plain,
( q_4
| u_27
| ~ p_6
| ~ q_5 ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_266,plain,
( q_5
| u_28
| ~ q_7
| ~ p_6 ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_267,plain,
( q_5
| u_29
| ~ p_7
| ~ q_6 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_268,plain,
( q_6
| u_30
| ~ q_8
| ~ p_7 ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_269,plain,
( q_6
| u_31
| ~ p_8
| ~ q_7 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_270,plain,
( q_7
| u_32
| ~ q_9
| ~ p_8 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_271,plain,
( q_7
| u_33
| ~ p_9
| ~ q_8 ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_272,plain,
( p_9
| u_34
| ~ p_4 ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_273,plain,
( p_10
| u_35
| ~ p_5 ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_274,plain,
( q_9
| u_36
| ~ q_4 ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_275,plain,
( q_10
| u_37
| ~ q_5 ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_276,plain,
( p_0
| ~ u_2 ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_277,plain,
( p_0
| ~ u_3 ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_278,plain,
( p_1
| ~ u_4 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_279,plain,
( p_1
| ~ u_5 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_280,plain,
( p_2
| ~ u_6 ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_281,plain,
( p_2
| ~ u_7 ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_282,plain,
( p_3
| ~ u_8 ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_283,plain,
( p_3
| ~ u_9 ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_284,plain,
( p_4
| ~ u_10 ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_285,plain,
( p_4
| ~ u_11 ),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_286,plain,
( p_5
| ~ u_12 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_287,plain,
( p_5
| ~ u_13 ),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_288,plain,
( p_6
| ~ u_14 ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_289,plain,
( p_6
| ~ u_15 ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_290,plain,
( p_7
| ~ u_16 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_291,plain,
( p_7
| ~ u_17 ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_292,plain,
( q_0
| ~ u_18 ),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_293,plain,
( q_0
| ~ u_19 ),
inference(split_conjunct,[status(thm)],[c_0_213]) ).
cnf(c_0_294,plain,
( q_1
| ~ u_20 ),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_295,plain,
( q_1
| ~ u_21 ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_296,plain,
( q_2
| ~ u_22 ),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_297,plain,
( q_2
| ~ u_23 ),
inference(split_conjunct,[status(thm)],[c_0_217]) ).
cnf(c_0_298,plain,
( q_3
| ~ u_24 ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_299,plain,
( q_3
| ~ u_25 ),
inference(split_conjunct,[status(thm)],[c_0_219]) ).
cnf(c_0_300,plain,
( q_4
| ~ u_26 ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_301,plain,
( q_4
| ~ u_27 ),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_302,plain,
( q_5
| ~ u_28 ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_303,plain,
( q_5
| ~ u_29 ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_304,plain,
( q_6
| ~ u_30 ),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_305,plain,
( q_6
| ~ u_31 ),
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_306,plain,
( q_7
| ~ u_32 ),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_307,plain,
( q_7
| ~ u_33 ),
inference(split_conjunct,[status(thm)],[c_0_227]) ).
cnf(c_0_308,plain,
( p_9
| ~ u_34 ),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_309,plain,
( p_10
| ~ u_35 ),
inference(split_conjunct,[status(thm)],[c_0_229]) ).
cnf(c_0_310,plain,
( q_9
| ~ u_36 ),
inference(split_conjunct,[status(thm)],[c_0_230]) ).
cnf(c_0_311,plain,
( q_10
| ~ u_37 ),
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_312,plain,
( p_8
| ~ u_38 ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_313,plain,
( p_9
| ~ u_39 ),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_314,plain,
( q_8
| ~ u_40 ),
inference(split_conjunct,[status(thm)],[c_0_234]) ).
cnf(c_0_315,plain,
( q_9
| ~ u_41 ),
inference(split_conjunct,[status(thm)],[c_0_235]) ).
cnf(c_0_316,plain,
( p_8
| u_38 ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_317,plain,
( p_9
| u_39 ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_318,plain,
( q_8
| u_40 ),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_319,plain,
( q_9
| u_41 ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_320,plain,
( p_0
| u_2
| ~ p_2
| ~ p_1 ),
c_0_240,
[final] ).
cnf(c_0_321,plain,
( p_0
| u_3
| ~ q_2
| ~ q_1 ),
c_0_241,
[final] ).
cnf(c_0_322,plain,
( p_1
| u_4
| ~ p_3
| ~ p_2 ),
c_0_242,
[final] ).
cnf(c_0_323,plain,
( p_1
| u_5
| ~ q_3
| ~ q_2 ),
c_0_243,
[final] ).
cnf(c_0_324,plain,
( p_2
| u_6
| ~ p_4
| ~ p_3 ),
c_0_244,
[final] ).
cnf(c_0_325,plain,
( p_2
| u_7
| ~ q_4
| ~ q_3 ),
c_0_245,
[final] ).
cnf(c_0_326,plain,
( p_3
| u_8
| ~ p_5
| ~ p_4 ),
c_0_246,
[final] ).
cnf(c_0_327,plain,
( p_3
| u_9
| ~ q_5
| ~ q_4 ),
c_0_247,
[final] ).
cnf(c_0_328,plain,
( p_4
| u_10
| ~ p_6
| ~ p_5 ),
c_0_248,
[final] ).
cnf(c_0_329,plain,
( p_4
| u_11
| ~ q_6
| ~ q_5 ),
c_0_249,
[final] ).
cnf(c_0_330,plain,
( p_5
| u_12
| ~ p_7
| ~ p_6 ),
c_0_250,
[final] ).
cnf(c_0_331,plain,
( p_5
| u_13
| ~ q_7
| ~ q_6 ),
c_0_251,
[final] ).
cnf(c_0_332,plain,
( p_6
| u_14
| ~ p_8
| ~ p_7 ),
c_0_252,
[final] ).
cnf(c_0_333,plain,
( p_6
| u_15
| ~ q_8
| ~ q_7 ),
c_0_253,
[final] ).
cnf(c_0_334,plain,
( p_7
| u_16
| ~ p_9
| ~ p_8 ),
c_0_254,
[final] ).
cnf(c_0_335,plain,
( p_7
| u_17
| ~ q_9
| ~ q_8 ),
c_0_255,
[final] ).
cnf(c_0_336,plain,
( q_0
| u_18
| ~ q_2
| ~ p_1 ),
c_0_256,
[final] ).
cnf(c_0_337,plain,
( q_0
| u_19
| ~ p_2
| ~ q_1 ),
c_0_257,
[final] ).
cnf(c_0_338,plain,
( q_1
| u_20
| ~ q_3
| ~ p_2 ),
c_0_258,
[final] ).
cnf(c_0_339,plain,
( q_1
| u_21
| ~ p_3
| ~ q_2 ),
c_0_259,
[final] ).
cnf(c_0_340,plain,
( q_2
| u_22
| ~ q_4
| ~ p_3 ),
c_0_260,
[final] ).
cnf(c_0_341,plain,
( q_2
| u_23
| ~ p_4
| ~ q_3 ),
c_0_261,
[final] ).
cnf(c_0_342,plain,
( q_3
| u_24
| ~ q_5
| ~ p_4 ),
c_0_262,
[final] ).
cnf(c_0_343,plain,
( q_3
| u_25
| ~ p_5
| ~ q_4 ),
c_0_263,
[final] ).
cnf(c_0_344,plain,
( q_4
| u_26
| ~ q_6
| ~ p_5 ),
c_0_264,
[final] ).
cnf(c_0_345,plain,
( q_4
| u_27
| ~ p_6
| ~ q_5 ),
c_0_265,
[final] ).
cnf(c_0_346,plain,
( q_5
| u_28
| ~ q_7
| ~ p_6 ),
c_0_266,
[final] ).
cnf(c_0_347,plain,
( q_5
| u_29
| ~ p_7
| ~ q_6 ),
c_0_267,
[final] ).
cnf(c_0_348,plain,
( q_6
| u_30
| ~ q_8
| ~ p_7 ),
c_0_268,
[final] ).
cnf(c_0_349,plain,
( q_6
| u_31
| ~ p_8
| ~ q_7 ),
c_0_269,
[final] ).
cnf(c_0_350,plain,
( q_7
| u_32
| ~ q_9
| ~ p_8 ),
c_0_270,
[final] ).
cnf(c_0_351,plain,
( q_7
| u_33
| ~ p_9
| ~ q_8 ),
c_0_271,
[final] ).
cnf(c_0_352,plain,
( p_9
| u_34
| ~ p_4 ),
c_0_272,
[final] ).
cnf(c_0_353,plain,
( p_10
| u_35
| ~ p_5 ),
c_0_273,
[final] ).
cnf(c_0_354,plain,
( q_9
| u_36
| ~ q_4 ),
c_0_274,
[final] ).
cnf(c_0_355,plain,
( q_10
| u_37
| ~ q_5 ),
c_0_275,
[final] ).
cnf(c_0_356,plain,
( p_0
| ~ u_2 ),
c_0_276,
[final] ).
cnf(c_0_357,plain,
( p_0
| ~ u_3 ),
c_0_277,
[final] ).
cnf(c_0_358,plain,
( p_1
| ~ u_4 ),
c_0_278,
[final] ).
cnf(c_0_359,plain,
( p_1
| ~ u_5 ),
c_0_279,
[final] ).
cnf(c_0_360,plain,
( p_2
| ~ u_6 ),
c_0_280,
[final] ).
cnf(c_0_361,plain,
( p_2
| ~ u_7 ),
c_0_281,
[final] ).
cnf(c_0_362,plain,
( p_3
| ~ u_8 ),
c_0_282,
[final] ).
cnf(c_0_363,plain,
( p_3
| ~ u_9 ),
c_0_283,
[final] ).
cnf(c_0_364,plain,
( p_4
| ~ u_10 ),
c_0_284,
[final] ).
cnf(c_0_365,plain,
( p_4
| ~ u_11 ),
c_0_285,
[final] ).
cnf(c_0_366,plain,
( p_5
| ~ u_12 ),
c_0_286,
[final] ).
cnf(c_0_367,plain,
( p_5
| ~ u_13 ),
c_0_287,
[final] ).
cnf(c_0_368,plain,
( p_6
| ~ u_14 ),
c_0_288,
[final] ).
cnf(c_0_369,plain,
( p_6
| ~ u_15 ),
c_0_289,
[final] ).
cnf(c_0_370,plain,
( p_7
| ~ u_16 ),
c_0_290,
[final] ).
cnf(c_0_371,plain,
( p_7
| ~ u_17 ),
c_0_291,
[final] ).
cnf(c_0_372,plain,
( q_0
| ~ u_18 ),
c_0_292,
[final] ).
cnf(c_0_373,plain,
( q_0
| ~ u_19 ),
c_0_293,
[final] ).
cnf(c_0_374,plain,
( q_1
| ~ u_20 ),
c_0_294,
[final] ).
cnf(c_0_375,plain,
( q_1
| ~ u_21 ),
c_0_295,
[final] ).
cnf(c_0_376,plain,
( q_2
| ~ u_22 ),
c_0_296,
[final] ).
cnf(c_0_377,plain,
( q_2
| ~ u_23 ),
c_0_297,
[final] ).
cnf(c_0_378,plain,
( q_3
| ~ u_24 ),
c_0_298,
[final] ).
cnf(c_0_379,plain,
( q_3
| ~ u_25 ),
c_0_299,
[final] ).
cnf(c_0_380,plain,
( q_4
| ~ u_26 ),
c_0_300,
[final] ).
cnf(c_0_381,plain,
( q_4
| ~ u_27 ),
c_0_301,
[final] ).
cnf(c_0_382,plain,
( q_5
| ~ u_28 ),
c_0_302,
[final] ).
cnf(c_0_383,plain,
( q_5
| ~ u_29 ),
c_0_303,
[final] ).
cnf(c_0_384,plain,
( q_6
| ~ u_30 ),
c_0_304,
[final] ).
cnf(c_0_385,plain,
( q_6
| ~ u_31 ),
c_0_305,
[final] ).
cnf(c_0_386,plain,
( q_7
| ~ u_32 ),
c_0_306,
[final] ).
cnf(c_0_387,plain,
( q_7
| ~ u_33 ),
c_0_307,
[final] ).
cnf(c_0_388,plain,
( p_9
| ~ u_34 ),
c_0_308,
[final] ).
cnf(c_0_389,plain,
( p_10
| ~ u_35 ),
c_0_309,
[final] ).
cnf(c_0_390,plain,
( q_9
| ~ u_36 ),
c_0_310,
[final] ).
cnf(c_0_391,plain,
( q_10
| ~ u_37 ),
c_0_311,
[final] ).
cnf(c_0_392,plain,
( p_8
| ~ u_38 ),
c_0_312,
[final] ).
cnf(c_0_393,plain,
( p_9
| ~ u_39 ),
c_0_313,
[final] ).
cnf(c_0_394,plain,
( q_8
| ~ u_40 ),
c_0_314,
[final] ).
cnf(c_0_395,plain,
( q_9
| ~ u_41 ),
c_0_315,
[final] ).
cnf(c_0_396,plain,
( p_8
| u_38 ),
c_0_316,
[final] ).
cnf(c_0_397,plain,
( p_9
| u_39 ),
c_0_317,
[final] ).
cnf(c_0_398,plain,
( q_8
| u_40 ),
c_0_318,
[final] ).
cnf(c_0_399,plain,
( q_9
| u_41 ),
c_0_319,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_320_0,axiom,
( p_0
| u_2
| ~ p_2
| ~ p_1 ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_1,axiom,
( u_2
| p_0
| ~ p_2
| ~ p_1 ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_2,axiom,
( ~ p_2
| u_2
| p_0
| ~ p_1 ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_3,axiom,
( ~ p_1
| ~ p_2
| u_2
| p_0 ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_321_0,axiom,
( p_0
| u_3
| ~ q_2
| ~ q_1 ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_1,axiom,
( u_3
| p_0
| ~ q_2
| ~ q_1 ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_2,axiom,
( ~ q_2
| u_3
| p_0
| ~ q_1 ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_3,axiom,
( ~ q_1
| ~ q_2
| u_3
| p_0 ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_322_0,axiom,
( p_1
| u_4
| ~ p_3
| ~ p_2 ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_1,axiom,
( u_4
| p_1
| ~ p_3
| ~ p_2 ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_2,axiom,
( ~ p_3
| u_4
| p_1
| ~ p_2 ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_3,axiom,
( ~ p_2
| ~ p_3
| u_4
| p_1 ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_323_0,axiom,
( p_1
| u_5
| ~ q_3
| ~ q_2 ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_1,axiom,
( u_5
| p_1
| ~ q_3
| ~ q_2 ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_2,axiom,
( ~ q_3
| u_5
| p_1
| ~ q_2 ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_3,axiom,
( ~ q_2
| ~ q_3
| u_5
| p_1 ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_324_0,axiom,
( p_2
| u_6
| ~ p_4
| ~ p_3 ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_1,axiom,
( u_6
| p_2
| ~ p_4
| ~ p_3 ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_2,axiom,
( ~ p_4
| u_6
| p_2
| ~ p_3 ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_3,axiom,
( ~ p_3
| ~ p_4
| u_6
| p_2 ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_325_0,axiom,
( p_2
| u_7
| ~ q_4
| ~ q_3 ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_1,axiom,
( u_7
| p_2
| ~ q_4
| ~ q_3 ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_2,axiom,
( ~ q_4
| u_7
| p_2
| ~ q_3 ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_3,axiom,
( ~ q_3
| ~ q_4
| u_7
| p_2 ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_326_0,axiom,
( p_3
| u_8
| ~ p_5
| ~ p_4 ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_1,axiom,
( u_8
| p_3
| ~ p_5
| ~ p_4 ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_2,axiom,
( ~ p_5
| u_8
| p_3
| ~ p_4 ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_3,axiom,
( ~ p_4
| ~ p_5
| u_8
| p_3 ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_327_0,axiom,
( p_3
| u_9
| ~ q_5
| ~ q_4 ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_1,axiom,
( u_9
| p_3
| ~ q_5
| ~ q_4 ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_2,axiom,
( ~ q_5
| u_9
| p_3
| ~ q_4 ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_3,axiom,
( ~ q_4
| ~ q_5
| u_9
| p_3 ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_328_0,axiom,
( p_4
| u_10
| ~ p_6
| ~ p_5 ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_1,axiom,
( u_10
| p_4
| ~ p_6
| ~ p_5 ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_2,axiom,
( ~ p_6
| u_10
| p_4
| ~ p_5 ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_3,axiom,
( ~ p_5
| ~ p_6
| u_10
| p_4 ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_329_0,axiom,
( p_4
| u_11
| ~ q_6
| ~ q_5 ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_1,axiom,
( u_11
| p_4
| ~ q_6
| ~ q_5 ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_2,axiom,
( ~ q_6
| u_11
| p_4
| ~ q_5 ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_3,axiom,
( ~ q_5
| ~ q_6
| u_11
| p_4 ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_330_0,axiom,
( p_5
| u_12
| ~ p_7
| ~ p_6 ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_1,axiom,
( u_12
| p_5
| ~ p_7
| ~ p_6 ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_2,axiom,
( ~ p_7
| u_12
| p_5
| ~ p_6 ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_3,axiom,
( ~ p_6
| ~ p_7
| u_12
| p_5 ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_331_0,axiom,
( p_5
| u_13
| ~ q_7
| ~ q_6 ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_1,axiom,
( u_13
| p_5
| ~ q_7
| ~ q_6 ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_2,axiom,
( ~ q_7
| u_13
| p_5
| ~ q_6 ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_3,axiom,
( ~ q_6
| ~ q_7
| u_13
| p_5 ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_332_0,axiom,
( p_6
| u_14
| ~ p_8
| ~ p_7 ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_1,axiom,
( u_14
| p_6
| ~ p_8
| ~ p_7 ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_2,axiom,
( ~ p_8
| u_14
| p_6
| ~ p_7 ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_3,axiom,
( ~ p_7
| ~ p_8
| u_14
| p_6 ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_333_0,axiom,
( p_6
| u_15
| ~ q_8
| ~ q_7 ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_1,axiom,
( u_15
| p_6
| ~ q_8
| ~ q_7 ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_2,axiom,
( ~ q_8
| u_15
| p_6
| ~ q_7 ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_3,axiom,
( ~ q_7
| ~ q_8
| u_15
| p_6 ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_334_0,axiom,
( p_7
| u_16
| ~ p_9
| ~ p_8 ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_1,axiom,
( u_16
| p_7
| ~ p_9
| ~ p_8 ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_2,axiom,
( ~ p_9
| u_16
| p_7
| ~ p_8 ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_3,axiom,
( ~ p_8
| ~ p_9
| u_16
| p_7 ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_335_0,axiom,
( p_7
| u_17
| ~ q_9
| ~ q_8 ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_1,axiom,
( u_17
| p_7
| ~ q_9
| ~ q_8 ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_2,axiom,
( ~ q_9
| u_17
| p_7
| ~ q_8 ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_3,axiom,
( ~ q_8
| ~ q_9
| u_17
| p_7 ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_336_0,axiom,
( q_0
| u_18
| ~ q_2
| ~ p_1 ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_1,axiom,
( u_18
| q_0
| ~ q_2
| ~ p_1 ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_2,axiom,
( ~ q_2
| u_18
| q_0
| ~ p_1 ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_3,axiom,
( ~ p_1
| ~ q_2
| u_18
| q_0 ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_337_0,axiom,
( q_0
| u_19
| ~ p_2
| ~ q_1 ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_1,axiom,
( u_19
| q_0
| ~ p_2
| ~ q_1 ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_2,axiom,
( ~ p_2
| u_19
| q_0
| ~ q_1 ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_3,axiom,
( ~ q_1
| ~ p_2
| u_19
| q_0 ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_338_0,axiom,
( q_1
| u_20
| ~ q_3
| ~ p_2 ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_1,axiom,
( u_20
| q_1
| ~ q_3
| ~ p_2 ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_2,axiom,
( ~ q_3
| u_20
| q_1
| ~ p_2 ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_3,axiom,
( ~ p_2
| ~ q_3
| u_20
| q_1 ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_339_0,axiom,
( q_1
| u_21
| ~ p_3
| ~ q_2 ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_1,axiom,
( u_21
| q_1
| ~ p_3
| ~ q_2 ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_2,axiom,
( ~ p_3
| u_21
| q_1
| ~ q_2 ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_3,axiom,
( ~ q_2
| ~ p_3
| u_21
| q_1 ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_340_0,axiom,
( q_2
| u_22
| ~ q_4
| ~ p_3 ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_1,axiom,
( u_22
| q_2
| ~ q_4
| ~ p_3 ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_2,axiom,
( ~ q_4
| u_22
| q_2
| ~ p_3 ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_3,axiom,
( ~ p_3
| ~ q_4
| u_22
| q_2 ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_341_0,axiom,
( q_2
| u_23
| ~ p_4
| ~ q_3 ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_1,axiom,
( u_23
| q_2
| ~ p_4
| ~ q_3 ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_2,axiom,
( ~ p_4
| u_23
| q_2
| ~ q_3 ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_3,axiom,
( ~ q_3
| ~ p_4
| u_23
| q_2 ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_342_0,axiom,
( q_3
| u_24
| ~ q_5
| ~ p_4 ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_1,axiom,
( u_24
| q_3
| ~ q_5
| ~ p_4 ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_2,axiom,
( ~ q_5
| u_24
| q_3
| ~ p_4 ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_3,axiom,
( ~ p_4
| ~ q_5
| u_24
| q_3 ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_343_0,axiom,
( q_3
| u_25
| ~ p_5
| ~ q_4 ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_1,axiom,
( u_25
| q_3
| ~ p_5
| ~ q_4 ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_2,axiom,
( ~ p_5
| u_25
| q_3
| ~ q_4 ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_3,axiom,
( ~ q_4
| ~ p_5
| u_25
| q_3 ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_344_0,axiom,
( q_4
| u_26
| ~ q_6
| ~ p_5 ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_1,axiom,
( u_26
| q_4
| ~ q_6
| ~ p_5 ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_2,axiom,
( ~ q_6
| u_26
| q_4
| ~ p_5 ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_3,axiom,
( ~ p_5
| ~ q_6
| u_26
| q_4 ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_345_0,axiom,
( q_4
| u_27
| ~ p_6
| ~ q_5 ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_1,axiom,
( u_27
| q_4
| ~ p_6
| ~ q_5 ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_2,axiom,
( ~ p_6
| u_27
| q_4
| ~ q_5 ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_3,axiom,
( ~ q_5
| ~ p_6
| u_27
| q_4 ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_346_0,axiom,
( q_5
| u_28
| ~ q_7
| ~ p_6 ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_1,axiom,
( u_28
| q_5
| ~ q_7
| ~ p_6 ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_2,axiom,
( ~ q_7
| u_28
| q_5
| ~ p_6 ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_3,axiom,
( ~ p_6
| ~ q_7
| u_28
| q_5 ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_347_0,axiom,
( q_5
| u_29
| ~ p_7
| ~ q_6 ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_1,axiom,
( u_29
| q_5
| ~ p_7
| ~ q_6 ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_2,axiom,
( ~ p_7
| u_29
| q_5
| ~ q_6 ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_3,axiom,
( ~ q_6
| ~ p_7
| u_29
| q_5 ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_348_0,axiom,
( q_6
| u_30
| ~ q_8
| ~ p_7 ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_1,axiom,
( u_30
| q_6
| ~ q_8
| ~ p_7 ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_2,axiom,
( ~ q_8
| u_30
| q_6
| ~ p_7 ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_3,axiom,
( ~ p_7
| ~ q_8
| u_30
| q_6 ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_349_0,axiom,
( q_6
| u_31
| ~ p_8
| ~ q_7 ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_1,axiom,
( u_31
| q_6
| ~ p_8
| ~ q_7 ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_2,axiom,
( ~ p_8
| u_31
| q_6
| ~ q_7 ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_3,axiom,
( ~ q_7
| ~ p_8
| u_31
| q_6 ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_350_0,axiom,
( q_7
| u_32
| ~ q_9
| ~ p_8 ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_1,axiom,
( u_32
| q_7
| ~ q_9
| ~ p_8 ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_2,axiom,
( ~ q_9
| u_32
| q_7
| ~ p_8 ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_3,axiom,
( ~ p_8
| ~ q_9
| u_32
| q_7 ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_351_0,axiom,
( q_7
| u_33
| ~ p_9
| ~ q_8 ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_1,axiom,
( u_33
| q_7
| ~ p_9
| ~ q_8 ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_2,axiom,
( ~ p_9
| u_33
| q_7
| ~ q_8 ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_3,axiom,
( ~ q_8
| ~ p_9
| u_33
| q_7 ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_352_0,axiom,
( p_9
| u_34
| ~ p_4 ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_1,axiom,
( u_34
| p_9
| ~ p_4 ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_2,axiom,
( ~ p_4
| u_34
| p_9 ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_353_0,axiom,
( p_10
| u_35
| ~ p_5 ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_1,axiom,
( u_35
| p_10
| ~ p_5 ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_2,axiom,
( ~ p_5
| u_35
| p_10 ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_354_0,axiom,
( q_9
| u_36
| ~ q_4 ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_354_1,axiom,
( u_36
| q_9
| ~ q_4 ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_354_2,axiom,
( ~ q_4
| u_36
| q_9 ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_355_0,axiom,
( q_10
| u_37
| ~ q_5 ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_355_1,axiom,
( u_37
| q_10
| ~ q_5 ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_355_2,axiom,
( ~ q_5
| u_37
| q_10 ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_356_0,axiom,
( p_0
| ~ u_2 ),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_356_1,axiom,
( ~ u_2
| p_0 ),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_357_0,axiom,
( p_0
| ~ u_3 ),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_357_1,axiom,
( ~ u_3
| p_0 ),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_358_0,axiom,
( p_1
| ~ u_4 ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_358_1,axiom,
( ~ u_4
| p_1 ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_359_0,axiom,
( p_1
| ~ u_5 ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_359_1,axiom,
( ~ u_5
| p_1 ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_360_0,axiom,
( p_2
| ~ u_6 ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_360_1,axiom,
( ~ u_6
| p_2 ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_361_0,axiom,
( p_2
| ~ u_7 ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_361_1,axiom,
( ~ u_7
| p_2 ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_362_0,axiom,
( p_3
| ~ u_8 ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_362_1,axiom,
( ~ u_8
| p_3 ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_363_0,axiom,
( p_3
| ~ u_9 ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_363_1,axiom,
( ~ u_9
| p_3 ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_364_0,axiom,
( p_4
| ~ u_10 ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_364_1,axiom,
( ~ u_10
| p_4 ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_365_0,axiom,
( p_4
| ~ u_11 ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_365_1,axiom,
( ~ u_11
| p_4 ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_366_0,axiom,
( p_5
| ~ u_12 ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_366_1,axiom,
( ~ u_12
| p_5 ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_367_0,axiom,
( p_5
| ~ u_13 ),
inference(literals_permutation,[status(thm)],[c_0_367]) ).
cnf(c_0_367_1,axiom,
( ~ u_13
| p_5 ),
inference(literals_permutation,[status(thm)],[c_0_367]) ).
cnf(c_0_368_0,axiom,
( p_6
| ~ u_14 ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_368_1,axiom,
( ~ u_14
| p_6 ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_369_0,axiom,
( p_6
| ~ u_15 ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_369_1,axiom,
( ~ u_15
| p_6 ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_370_0,axiom,
( p_7
| ~ u_16 ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_370_1,axiom,
( ~ u_16
| p_7 ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_371_0,axiom,
( p_7
| ~ u_17 ),
inference(literals_permutation,[status(thm)],[c_0_371]) ).
cnf(c_0_371_1,axiom,
( ~ u_17
| p_7 ),
inference(literals_permutation,[status(thm)],[c_0_371]) ).
cnf(c_0_372_0,axiom,
( q_0
| ~ u_18 ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_372_1,axiom,
( ~ u_18
| q_0 ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_373_0,axiom,
( q_0
| ~ u_19 ),
inference(literals_permutation,[status(thm)],[c_0_373]) ).
cnf(c_0_373_1,axiom,
( ~ u_19
| q_0 ),
inference(literals_permutation,[status(thm)],[c_0_373]) ).
cnf(c_0_374_0,axiom,
( q_1
| ~ u_20 ),
inference(literals_permutation,[status(thm)],[c_0_374]) ).
cnf(c_0_374_1,axiom,
( ~ u_20
| q_1 ),
inference(literals_permutation,[status(thm)],[c_0_374]) ).
cnf(c_0_375_0,axiom,
( q_1
| ~ u_21 ),
inference(literals_permutation,[status(thm)],[c_0_375]) ).
cnf(c_0_375_1,axiom,
( ~ u_21
| q_1 ),
inference(literals_permutation,[status(thm)],[c_0_375]) ).
cnf(c_0_376_0,axiom,
( q_2
| ~ u_22 ),
inference(literals_permutation,[status(thm)],[c_0_376]) ).
cnf(c_0_376_1,axiom,
( ~ u_22
| q_2 ),
inference(literals_permutation,[status(thm)],[c_0_376]) ).
cnf(c_0_377_0,axiom,
( q_2
| ~ u_23 ),
inference(literals_permutation,[status(thm)],[c_0_377]) ).
cnf(c_0_377_1,axiom,
( ~ u_23
| q_2 ),
inference(literals_permutation,[status(thm)],[c_0_377]) ).
cnf(c_0_378_0,axiom,
( q_3
| ~ u_24 ),
inference(literals_permutation,[status(thm)],[c_0_378]) ).
cnf(c_0_378_1,axiom,
( ~ u_24
| q_3 ),
inference(literals_permutation,[status(thm)],[c_0_378]) ).
cnf(c_0_379_0,axiom,
( q_3
| ~ u_25 ),
inference(literals_permutation,[status(thm)],[c_0_379]) ).
cnf(c_0_379_1,axiom,
( ~ u_25
| q_3 ),
inference(literals_permutation,[status(thm)],[c_0_379]) ).
cnf(c_0_380_0,axiom,
( q_4
| ~ u_26 ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_380_1,axiom,
( ~ u_26
| q_4 ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_381_0,axiom,
( q_4
| ~ u_27 ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_381_1,axiom,
( ~ u_27
| q_4 ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_382_0,axiom,
( q_5
| ~ u_28 ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_382_1,axiom,
( ~ u_28
| q_5 ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_383_0,axiom,
( q_5
| ~ u_29 ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_383_1,axiom,
( ~ u_29
| q_5 ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_384_0,axiom,
( q_6
| ~ u_30 ),
inference(literals_permutation,[status(thm)],[c_0_384]) ).
cnf(c_0_384_1,axiom,
( ~ u_30
| q_6 ),
inference(literals_permutation,[status(thm)],[c_0_384]) ).
cnf(c_0_385_0,axiom,
( q_6
| ~ u_31 ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_385_1,axiom,
( ~ u_31
| q_6 ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_386_0,axiom,
( q_7
| ~ u_32 ),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_386_1,axiom,
( ~ u_32
| q_7 ),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_387_0,axiom,
( q_7
| ~ u_33 ),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_387_1,axiom,
( ~ u_33
| q_7 ),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_388_0,axiom,
( p_9
| ~ u_34 ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_1,axiom,
( ~ u_34
| p_9 ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_389_0,axiom,
( p_10
| ~ u_35 ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_1,axiom,
( ~ u_35
| p_10 ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_390_0,axiom,
( q_9
| ~ u_36 ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_1,axiom,
( ~ u_36
| q_9 ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_391_0,axiom,
( q_10
| ~ u_37 ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_1,axiom,
( ~ u_37
| q_10 ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_392_0,axiom,
( p_8
| ~ u_38 ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_392_1,axiom,
( ~ u_38
| p_8 ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_393_0,axiom,
( p_9
| ~ u_39 ),
inference(literals_permutation,[status(thm)],[c_0_393]) ).
cnf(c_0_393_1,axiom,
( ~ u_39
| p_9 ),
inference(literals_permutation,[status(thm)],[c_0_393]) ).
cnf(c_0_394_0,axiom,
( q_8
| ~ u_40 ),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_394_1,axiom,
( ~ u_40
| q_8 ),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_395_0,axiom,
( q_9
| ~ u_41 ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_395_1,axiom,
( ~ u_41
| q_9 ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_396_0,axiom,
( p_8
| u_38 ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_396_1,axiom,
( u_38
| p_8 ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_397_0,axiom,
( p_9
| u_39 ),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_397_1,axiom,
( u_39
| p_9 ),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_398_0,axiom,
( q_8
| u_40 ),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_398_1,axiom,
( u_40
| q_8 ),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_399_0,axiom,
( q_9
| u_41 ),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
cnf(c_0_399_1,axiom,
( u_41
| q_9 ),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ),
file('<stdin>',u_s3_goal_1) ).
fof(c_0_1_007,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_008,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ),
c_0_1 ).
cnf(c_0_3_009,negated_conjecture,
( u_1
| ~ q_0
| ~ p_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_010,negated_conjecture,
( u_1
| ~ q_0
| ~ p_0 ),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_7,plain,
( p_0
| u_3
| ~ q_2
| ~ q_1 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_321_3) ).
cnf(c_19,plain,
( p_2
| u_6
| ~ p_4
| ~ p_3 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_324_3) ).
cnf(c_31,plain,
( p_3
| u_9
| ~ q_5
| ~ q_4 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_327_3) ).
cnf(c_39,plain,
( p_4
| u_11
| ~ q_6
| ~ q_5 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_329_3) ).
cnf(c_55,plain,
( p_6
| u_15
| ~ q_8
| ~ q_7 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_333_3) ).
cnf(c_71,plain,
( q_0
| u_19
| ~ p_2
| ~ q_1 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_337_3) ).
cnf(c_79,plain,
( q_1
| u_21
| ~ p_3
| ~ q_2 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_339_3) ).
cnf(c_87,plain,
( q_2
| u_23
| ~ p_4
| ~ q_3 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_341_3) ).
cnf(c_91,plain,
( q_3
| u_24
| ~ q_5
| ~ p_4 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_342_3) ).
cnf(c_103,plain,
( q_4
| u_27
| ~ p_6
| ~ q_5 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_345_3) ).
cnf(c_107,plain,
( q_5
| u_28
| ~ q_7
| ~ p_6 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_346_3) ).
cnf(c_119,plain,
( q_6
| u_31
| ~ p_8
| ~ q_7 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_349_3) ).
cnf(c_123,plain,
( q_7
| u_32
| ~ q_9
| ~ p_8 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_350_3) ).
cnf(c_143,plain,
( p_0
| ~ u_3 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_357_1) ).
cnf(c_149,plain,
( p_2
| ~ u_6 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_360_1) ).
cnf(c_155,plain,
( p_3
| ~ u_9 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_363_1) ).
cnf(c_159,plain,
( p_4
| ~ u_11 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_365_1) ).
cnf(c_167,plain,
( p_6
| ~ u_15 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_369_1) ).
cnf(c_175,plain,
( q_0
| ~ u_19 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_373_1) ).
cnf(c_179,plain,
( q_1
| ~ u_21 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_375_1) ).
cnf(c_183,plain,
( q_2
| ~ u_23 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_377_1) ).
cnf(c_185,plain,
( q_3
| ~ u_24 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_378_1) ).
cnf(c_191,plain,
( q_4
| ~ u_27 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_381_1) ).
cnf(c_193,plain,
( q_5
| ~ u_28 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_382_1) ).
cnf(c_199,plain,
( q_6
| ~ u_31 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_385_1) ).
cnf(c_201,plain,
( q_7
| ~ u_32 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_386_1) ).
cnf(c_213,plain,
( p_8
| ~ u_38 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_392_1) ).
cnf(c_217,plain,
( q_8
| ~ u_40 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_394_1) ).
cnf(c_219,plain,
( q_9
| ~ u_41 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_395_1) ).
cnf(c_221,plain,
( p_8
| u_38 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_396_1) ).
cnf(c_225,plain,
( q_8
| u_40 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_398_1) ).
cnf(c_227,plain,
( q_9
| u_41 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_399_1) ).
cnf(c_228,plain,
~ u_1,
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_4_0) ).
cnf(c_229,negated_conjecture,
( ~ p_0
| ~ q_0
| u_1 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_70e96d.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_7,c_19,c_31,c_39,c_55,c_71,c_79,c_87,c_91,c_103,c_107,c_119,c_123,c_143,c_149,c_155,c_159,c_167,c_175,c_179,c_183,c_185,c_191,c_193,c_199,c_201,c_213,c_217,c_219,c_221,c_225,c_227,c_228,c_229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n019.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 : Mon Jul 11 12:34:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.18/0.39 % Orienting using strategy Equiv(ClausalAll)
% 0.18/0.39 % Orientation found
% 0.18/0.39 % 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_413dc6.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_70e96d.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f4ef27 | grep -v "SZS"
% 0.18/0.41
% 0.18/0.41 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.18/0.41
% 0.18/0.41 %
% 0.18/0.41 % ------ iProver source info
% 0.18/0.41
% 0.18/0.41 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.18/0.41 % git: non_committed_changes: true
% 0.18/0.41 % git: last_make_outside_of_git: true
% 0.18/0.41
% 0.18/0.41 %
% 0.18/0.41 % ------ Input Options
% 0.18/0.41
% 0.18/0.41 % --out_options all
% 0.18/0.41 % --tptp_safe_out true
% 0.18/0.41 % --problem_path ""
% 0.18/0.41 % --include_path ""
% 0.18/0.41 % --clausifier .//eprover
% 0.18/0.41 % --clausifier_options --tstp-format
% 0.18/0.41 % --stdin false
% 0.18/0.41 % --dbg_backtrace false
% 0.18/0.41 % --dbg_dump_prop_clauses false
% 0.18/0.41 % --dbg_dump_prop_clauses_file -
% 0.18/0.41 % --dbg_out_stat false
% 0.18/0.41
% 0.18/0.41 % ------ General Options
% 0.18/0.41
% 0.18/0.41 % --fof false
% 0.18/0.41 % --time_out_real 150.
% 0.18/0.41 % --time_out_prep_mult 0.2
% 0.18/0.41 % --time_out_virtual -1.
% 0.18/0.41 % --schedule none
% 0.18/0.41 % --ground_splitting input
% 0.18/0.41 % --splitting_nvd 16
% 0.18/0.41 % --non_eq_to_eq false
% 0.18/0.41 % --prep_gs_sim true
% 0.18/0.41 % --prep_unflatten false
% 0.18/0.41 % --prep_res_sim true
% 0.18/0.41 % --prep_upred true
% 0.18/0.41 % --res_sim_input true
% 0.18/0.41 % --clause_weak_htbl true
% 0.18/0.41 % --gc_record_bc_elim false
% 0.18/0.41 % --symbol_type_check false
% 0.18/0.41 % --clausify_out false
% 0.18/0.41 % --large_theory_mode false
% 0.18/0.41 % --prep_sem_filter none
% 0.18/0.41 % --prep_sem_filter_out false
% 0.18/0.41 % --preprocessed_out false
% 0.18/0.41 % --sub_typing false
% 0.18/0.41 % --brand_transform false
% 0.18/0.41 % --pure_diseq_elim true
% 0.18/0.41 % --min_unsat_core false
% 0.18/0.41 % --pred_elim true
% 0.18/0.41 % --add_important_lit false
% 0.18/0.41 % --soft_assumptions false
% 0.18/0.41 % --reset_solvers false
% 0.18/0.41 % --bc_imp_inh []
% 0.18/0.41 % --conj_cone_tolerance 1.5
% 0.18/0.41 % --prolific_symb_bound 500
% 0.18/0.41 % --lt_threshold 2000
% 0.18/0.41
% 0.18/0.41 % ------ SAT Options
% 0.18/0.41
% 0.18/0.41 % --sat_mode false
% 0.18/0.41 % --sat_fm_restart_options ""
% 0.18/0.41 % --sat_gr_def false
% 0.18/0.41 % --sat_epr_types true
% 0.18/0.41 % --sat_non_cyclic_types false
% 0.18/0.41 % --sat_finite_models false
% 0.18/0.41 % --sat_fm_lemmas false
% 0.18/0.41 % --sat_fm_prep false
% 0.18/0.41 % --sat_fm_uc_incr true
% 0.18/0.41 % --sat_out_model small
% 0.18/0.41 % --sat_out_clauses false
% 0.18/0.41
% 0.18/0.41 % ------ QBF Options
% 0.18/0.41
% 0.18/0.41 % --qbf_mode false
% 0.18/0.41 % --qbf_elim_univ true
% 0.18/0.41 % --qbf_sk_in true
% 0.18/0.41 % --qbf_pred_elim true
% 0.18/0.41 % --qbf_split 32
% 0.18/0.41
% 0.18/0.41 % ------ BMC1 Options
% 0.18/0.41
% 0.18/0.41 % --bmc1_incremental false
% 0.18/0.41 % --bmc1_axioms reachable_all
% 0.18/0.41 % --bmc1_min_bound 0
% 0.18/0.41 % --bmc1_max_bound -1
% 0.18/0.41 % --bmc1_max_bound_default -1
% 0.18/0.41 % --bmc1_symbol_reachability true
% 0.18/0.41 % --bmc1_property_lemmas false
% 0.18/0.41 % --bmc1_k_induction false
% 0.18/0.41 % --bmc1_non_equiv_states false
% 0.18/0.41 % --bmc1_deadlock false
% 0.18/0.41 % --bmc1_ucm false
% 0.18/0.41 % --bmc1_add_unsat_core none
% 0.18/0.41 % --bmc1_unsat_core_children false
% 0.18/0.41 % --bmc1_unsat_core_extrapolate_axioms false
% 0.18/0.41 % --bmc1_out_stat full
% 0.18/0.41 % --bmc1_ground_init false
% 0.18/0.41 % --bmc1_pre_inst_next_state false
% 0.18/0.41 % --bmc1_pre_inst_state false
% 0.18/0.41 % --bmc1_pre_inst_reach_state false
% 0.18/0.41 % --bmc1_out_unsat_core false
% 0.18/0.41 % --bmc1_aig_witness_out false
% 0.18/0.41 % --bmc1_verbose false
% 0.18/0.41 % --bmc1_dump_clauses_tptp false
% 0.18/0.42 % --bmc1_dump_unsat_core_tptp false
% 0.18/0.42 % --bmc1_dump_file -
% 0.18/0.42 % --bmc1_ucm_expand_uc_limit 128
% 0.18/0.42 % --bmc1_ucm_n_expand_iterations 6
% 0.18/0.42 % --bmc1_ucm_extend_mode 1
% 0.18/0.42 % --bmc1_ucm_init_mode 2
% 0.18/0.42 % --bmc1_ucm_cone_mode none
% 0.18/0.42 % --bmc1_ucm_reduced_relation_type 0
% 0.18/0.42 % --bmc1_ucm_relax_model 4
% 0.18/0.42 % --bmc1_ucm_full_tr_after_sat true
% 0.18/0.42 % --bmc1_ucm_expand_neg_assumptions false
% 0.18/0.42 % --bmc1_ucm_layered_model none
% 0.18/0.42 % --bmc1_ucm_max_lemma_size 10
% 0.18/0.42
% 0.18/0.42 % ------ AIG Options
% 0.18/0.42
% 0.18/0.42 % --aig_mode false
% 0.18/0.42
% 0.18/0.42 % ------ Instantiation Options
% 0.18/0.42
% 0.18/0.42 % --instantiation_flag true
% 0.18/0.42 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.42 % --inst_solver_per_active 750
% 0.18/0.42 % --inst_solver_calls_frac 0.5
% 0.18/0.42 % --inst_passive_queue_type priority_queues
% 0.18/0.42 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.42 % --inst_passive_queues_freq [25;2]
% 0.18/0.42 % --inst_dismatching true
% 0.18/0.42 % --inst_eager_unprocessed_to_passive true
% 0.18/0.42 % --inst_prop_sim_given true
% 0.18/0.42 % --inst_prop_sim_new false
% 0.18/0.42 % --inst_orphan_elimination true
% 0.18/0.42 % --inst_learning_loop_flag true
% 0.18/0.42 % --inst_learning_start 3000
% 0.18/0.42 % --inst_learning_factor 2
% 0.18/0.42 % --inst_start_prop_sim_after_learn 3
% 0.18/0.42 % --inst_sel_renew solver
% 0.18/0.42 % --inst_lit_activity_flag true
% 0.18/0.42 % --inst_out_proof true
% 0.18/0.42
% 0.18/0.42 % ------ Resolution Options
% 0.18/0.42
% 0.18/0.42 % --resolution_flag true
% 0.18/0.42 % --res_lit_sel kbo_max
% 0.18/0.42 % --res_to_prop_solver none
% 0.18/0.42 % --res_prop_simpl_new false
% 0.18/0.42 % --res_prop_simpl_given false
% 0.18/0.42 % --res_passive_queue_type priority_queues
% 0.18/0.42 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.42 % --res_passive_queues_freq [15;5]
% 0.18/0.42 % --res_forward_subs full
% 0.18/0.42 % --res_backward_subs full
% 0.18/0.42 % --res_forward_subs_resolution true
% 0.18/0.42 % --res_backward_subs_resolution true
% 0.18/0.42 % --res_orphan_elimination false
% 0.18/0.42 % --res_time_limit 1000.
% 0.18/0.42 % --res_out_proof true
% 0.18/0.42 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_413dc6.s
% 0.18/0.42 % --modulo true
% 0.18/0.42
% 0.18/0.42 % ------ Combination Options
% 0.18/0.42
% 0.18/0.42 % --comb_res_mult 1000
% 0.18/0.42 % --comb_inst_mult 300
% 0.18/0.42 % ------
% 0.18/0.42
% 0.18/0.42 % ------ Parsing...% successful
% 0.18/0.42
% 0.18/0.42 % ------ 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 %
% 0.18/0.42
% 0.18/0.42 % ------ Proving...
% 0.18/0.42 % ------ Problem Properties
% 0.18/0.42
% 0.18/0.42 %
% 0.18/0.42 % EPR true
% 0.18/0.42 % Horn false
% 0.18/0.42 % Has equality false
% 0.18/0.42
% 0.18/0.42 %
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 % ------ Statistics
% 0.18/0.42
% 0.18/0.42 % ------ General
% 0.18/0.42
% 0.18/0.42 % num_of_input_clauses: 230
% 0.18/0.42 % num_of_input_neg_conjectures: 1
% 0.18/0.42 % num_of_splits: 0
% 0.18/0.42 % num_of_split_atoms: 0
% 0.18/0.42 % num_of_sem_filtered_clauses: 0
% 0.18/0.42 % num_of_subtypes: 0
% 0.18/0.42 % monotx_restored_types: 0
% 0.18/0.42 % sat_num_of_epr_types: 0
% 0.18/0.42 % sat_num_of_non_cyclic_types: 0
% 0.18/0.42 % sat_guarded_non_collapsed_types: 0
% 0.18/0.42 % is_epr: 1
% 0.18/0.42 % is_horn: 0
% 0.18/0.42 % has_eq: 0
% 0.18/0.42 % num_pure_diseq_elim: 0
% 0.18/0.42 % simp_replaced_by: 0
% 0.18/0.42 % res_preprocessed: 2
% 0.18/0.42 % prep_upred: 0
% 0.18/0.42 % prep_unflattend: 0
% 0.18/0.42 % pred_elim_cands: 0
% 0.18/0.42 % pred_elim: 0
% 0.18/0.42 % pred_elim_cl: 0
% 0.18/0.42 % pred_elim_cycles: 0
% 0.18/0.42 % forced_gc_time: 0
% 0.18/0.42 % gc_basic_clause_elim: 0
% 0.18/0.42 % parsing_time: 0.003
% 0.18/0.42 % sem_filter_time: 0.
% 0.18/0.42 % pred_elim_time: 0.
% 0.18/0.42 % out_proof_time: 0.
% 0.18/0.42 % monotx_time: 0.
% 0.18/0.42 % subtype_inf_time: 0.
% 0.18/0.42 % unif_index_cands_time: 0.
% 0.18/0.42 % unif_index_add_time: 0.
% 0.18/0.42 % total_time: 0.024
% 0.18/0.42 % num_of_symbols: 88
% 0.18/0.42 % num_of_terms: 133
% 0.18/0.42
% 0.18/0.42 % ------ Propositional Solver
% 0.18/0.42
% 0.18/0.42 % prop_solver_calls: 1
% 0.18/0.42 % prop_fast_solver_calls: 12
% 0.18/0.42 % prop_num_of_clauses: 83
% 0.18/0.42 % prop_preprocess_simplified: 391
% 0.18/0.42 % prop_fo_subsumed: 2
% 0.18/0.42 % prop_solver_time: 0.
% 0.18/0.42 % prop_fast_solver_time: 0.
% 0.18/0.42 % prop_unsat_core_time: 0.
% 0.18/0.42
% 0.18/0.42 % ------ QBF
% 0.18/0.42
% 0.18/0.42 % qbf_q_res: 0
% 0.18/0.42 % qbf_num_tautologies: 0
% 0.18/0.42 % qbf_prep_cycles: 0
% 0.18/0.42
% 0.18/0.42 % ------ BMC1
% 0.18/0.42
% 0.18/0.42 % bmc1_current_bound: -1
% 0.18/0.42 % bmc1_last_solved_bound: -1
% 0.18/0.42 % bmc1_unsat_core_size: -1
% 0.18/0.42 % bmc1_unsat_core_parents_size: -1
% 0.18/0.42 % bmc1_merge_next_fun: 0
% 0.18/0.42 % bmc1_unsat_core_clauses_time: 0.
% 0.18/0.42
% 0.18/0.42 % ------ Instantiation
% 0.18/0.42
% 0.18/0.42 % inst_num_of_clauses: undef
% 0.18/0.42 % inst_num_in_passive: undef
% 0.18/0.42 % inst_num_in_active: 0
% 0.18/0.42 % inst_num_in_unprocessed: 0
% 0.18/0.42 % inst_num_of_loops: 0
% 0.18/0.42 % inst_num_of_learning_restarts: 0
% 0.18/0.42 % inst_num_moves_active_passive: 0
% 0.18/0.42 % inst_lit_activity: 0
% 0.18/0.42 % inst_lit_activity_moves: 0
% 0.18/0.42 % inst_num_tautologies: 0
% 0.18/0.42 % inst_num_prop_implied: 0
% 0.18/0.42 % inst_num_existing_simplified: 0
% 0.18/0.42 % inst_num_eq_res_simplified: 0
% 0.18/0.42 % inst_num_child_elim: 0
% 0.18/0.42 % inst_num_of_dismatching_blockings: 0
% 0.18/0.42 % inst_num_of_non_proper_insts: 0
% 0.18/0.42 % inst_num_of_duplicates: 0
% 0.18/0.42 % inst_inst_num_from_inst_to_res: 0
% 0.18/0.42 % inst_dismatching_checking_time: 0.
% 0.18/0.42
% 0.18/0.42 % ------ Resolution
% 0.18/0.42
% 0.18/0.42 % res_num_of_clauses: 2
% 0.18/0.42 % res_num_in_passive: 0
% 0.18/0.42 % res_num_in_active: 0
% 0.18/0.42 % res_num_of_loops: 2
% 0.18/0.42 % res_forward_subset_subsumed: 2
% 0.18/0.42 % res_backward_subset_subsumed: 0
% 0.18/0.42 % res_forward_subsumed: 0
% 0.18/0.42 % res_backward_subsumed: 0
% 0.18/0.42 % res_forward_subsumption_resolution: 0
% 0.18/0.42 % res_backward_subsumption_resolution: 0
% 0.18/0.42 % res_clause_to_clause_subsumption: 0
% 0.18/0.42 % res_orphan_elimination: 0
% 0.18/0.42 % res_tautology_del: 0
% 0.18/0.42 % res_num_eq_res_simplified: 0
% 0.18/0.42 % res_num_sel_changes: 0
% 0.18/0.42 % res_moves_from_active_to_pass: 0
% 0.18/0.42
% 0.18/0.42 % Status Unsatisfiable
% 0.18/0.42 % SZS status Unsatisfiable
% 0.18/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------