%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 07:23:19 EDT 2022
% Result : Unsatisfiable 0.21s 0.45s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(sym_m_t3_4,axiom,
~ sym_q_9(a),
input ).
fof(sym_m_t3_4_0,plain,
( ~ sym_q_9(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t3_4]) ).
cnf(sym_m_t3_3,axiom,
~ sym_q_8(a),
input ).
fof(sym_m_t3_3_0,plain,
( ~ sym_q_8(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t3_3]) ).
cnf(sym_m_t3_2,axiom,
~ sym_p_9(a),
input ).
fof(sym_m_t3_2_0,plain,
( ~ sym_p_9(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t3_2]) ).
cnf(sym_m_t3_1,axiom,
~ sym_p_8(a),
input ).
fof(sym_m_t3_1_0,plain,
( ~ sym_p_8(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t3_1]) ).
cnf(m_t3_4,axiom,
q_9(a),
input ).
fof(m_t3_4_0,plain,
( q_9(a)
| $false ),
inference(orientation,[status(thm)],[m_t3_4]) ).
cnf(m_t3_3,axiom,
q_8(a),
input ).
fof(m_t3_3_0,plain,
( q_8(a)
| $false ),
inference(orientation,[status(thm)],[m_t3_3]) ).
cnf(m_t3_2,axiom,
p_9(a),
input ).
fof(m_t3_2_0,plain,
( p_9(a)
| $false ),
inference(orientation,[status(thm)],[m_t3_2]) ).
cnf(m_t3_1,axiom,
p_8(a),
input ).
fof(m_t3_1_0,plain,
( p_8(a)
| $false ),
inference(orientation,[status(thm)],[m_t3_1]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> p_8(a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[m_t3_1_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> p_9(a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[m_t3_2_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> q_8(a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[m_t3_3_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> q_9(a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[m_t3_4_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> ~ sym_p_8(a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_4,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t3_1_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> ~ sym_p_9(a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_5,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t3_2_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> ~ sym_q_8(a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_6,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t3_3_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> ~ sym_q_9(a) ),
inference(definition,[],[]) ).
fof(to_be_clausified_7,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t3_4_0,def_lhs_atom8]) ).
% Start CNF derivation
fof(c_0_0,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_1,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_2,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_3,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_4,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_5,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_6,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_7,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_8,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_9,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_10,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_11,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_12,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_13,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_14,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_15,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
lhs_atom8,
c_0_8 ).
fof(c_0_17,plain,
lhs_atom7,
c_0_9 ).
fof(c_0_18,plain,
lhs_atom6,
c_0_10 ).
fof(c_0_19,plain,
lhs_atom5,
c_0_11 ).
fof(c_0_20,plain,
lhs_atom4,
c_0_12 ).
fof(c_0_21,plain,
lhs_atom3,
c_0_13 ).
fof(c_0_22,plain,
lhs_atom2,
c_0_14 ).
fof(c_0_23,plain,
lhs_atom1,
c_0_15 ).
cnf(c_0_24,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
lhs_atom8,
c_0_24,
[final] ).
cnf(c_0_33,plain,
lhs_atom7,
c_0_25,
[final] ).
cnf(c_0_34,plain,
lhs_atom6,
c_0_26,
[final] ).
cnf(c_0_35,plain,
lhs_atom5,
c_0_27,
[final] ).
cnf(c_0_36,plain,
lhs_atom4,
c_0_28,
[final] ).
cnf(c_0_37,plain,
lhs_atom3,
c_0_29,
[final] ).
cnf(c_0_38,plain,
lhs_atom2,
c_0_30,
[final] ).
cnf(c_0_39,plain,
lhs_atom1,
c_0_31,
[final] ).
% End CNF derivation
cnf(c_0_32_0,axiom,
~ sym_q_9(a),
inference(unfold_definition,[status(thm)],[c_0_32,def_lhs_atom8]) ).
cnf(c_0_33_0,axiom,
~ sym_q_8(a),
inference(unfold_definition,[status(thm)],[c_0_33,def_lhs_atom7]) ).
cnf(c_0_34_0,axiom,
~ sym_p_9(a),
inference(unfold_definition,[status(thm)],[c_0_34,def_lhs_atom6]) ).
cnf(c_0_35_0,axiom,
~ sym_p_8(a),
inference(unfold_definition,[status(thm)],[c_0_35,def_lhs_atom5]) ).
cnf(c_0_36_0,axiom,
q_9(a),
inference(unfold_definition,[status(thm)],[c_0_36,def_lhs_atom4]) ).
cnf(c_0_37_0,axiom,
q_8(a),
inference(unfold_definition,[status(thm)],[c_0_37,def_lhs_atom3]) ).
cnf(c_0_38_0,axiom,
p_9(a),
inference(unfold_definition,[status(thm)],[c_0_38,def_lhs_atom2]) ).
cnf(c_0_39_0,axiom,
p_8(a),
inference(unfold_definition,[status(thm)],[c_0_39,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1] :
( p_0(X1)
| ~ p_1(X1)
| ~ p_2(X1) ),
file('<stdin>',m_s3_type11_1) ).
fof(c_0_1_002,axiom,
! [X1] :
( p_0(X1)
| ~ q_1(X1)
| ~ q_2(X1) ),
file('<stdin>',m_s3_type11_2) ).
fof(c_0_2_003,axiom,
! [X1] :
( p_1(X1)
| ~ p_2(X1)
| ~ p_3(X1) ),
file('<stdin>',m_s3_type11_3) ).
fof(c_0_3_004,axiom,
! [X1] :
( p_1(X1)
| ~ q_2(X1)
| ~ q_3(X1) ),
file('<stdin>',m_s3_type11_4) ).
fof(c_0_4_005,axiom,
! [X1] :
( p_2(X1)
| ~ p_3(X1)
| ~ p_4(X1) ),
file('<stdin>',m_s3_type11_5) ).
fof(c_0_5_006,axiom,
! [X1] :
( p_2(X1)
| ~ q_3(X1)
| ~ q_4(X1) ),
file('<stdin>',m_s3_type11_6) ).
fof(c_0_6_007,axiom,
! [X1] :
( p_3(X1)
| ~ p_4(X1)
| ~ p_5(X1) ),
file('<stdin>',m_s3_type11_7) ).
fof(c_0_7_008,axiom,
! [X1] :
( p_3(X1)
| ~ q_4(X1)
| ~ q_5(X1) ),
file('<stdin>',m_s3_type11_8) ).
fof(c_0_8_009,axiom,
! [X1] :
( p_4(X1)
| ~ p_5(X1)
| ~ p_6(X1) ),
file('<stdin>',m_s3_type11_9) ).
fof(c_0_9_010,axiom,
! [X1] :
( p_4(X1)
| ~ q_5(X1)
| ~ q_6(X1) ),
file('<stdin>',m_s3_type11_10) ).
fof(c_0_10_011,axiom,
! [X1] :
( p_5(X1)
| ~ p_6(X1)
| ~ p_7(X1) ),
file('<stdin>',m_s3_type11_11) ).
fof(c_0_11_012,axiom,
! [X1] :
( p_5(X1)
| ~ q_6(X1)
| ~ q_7(X1) ),
file('<stdin>',m_s3_type11_12) ).
fof(c_0_12_013,axiom,
! [X1] :
( p_6(X1)
| ~ p_7(X1)
| ~ p_8(X1) ),
file('<stdin>',m_s3_type11_13) ).
fof(c_0_13_014,axiom,
! [X1] :
( p_6(X1)
| ~ q_7(X1)
| ~ q_8(X1) ),
file('<stdin>',m_s3_type11_14) ).
fof(c_0_14_015,axiom,
! [X1] :
( p_7(X1)
| ~ p_8(X1)
| ~ p_9(X1) ),
file('<stdin>',m_s3_type11_15) ).
fof(c_0_15_016,axiom,
! [X1] :
( p_7(X1)
| ~ q_8(X1)
| ~ q_9(X1) ),
file('<stdin>',m_s3_type11_16) ).
fof(c_0_16_017,axiom,
! [X1] :
( q_0(X1)
| ~ p_1(X1)
| ~ q_2(X1) ),
file('<stdin>',m_s3_type12_1) ).
fof(c_0_17_018,axiom,
! [X1] :
( q_0(X1)
| ~ q_1(X1)
| ~ p_2(X1) ),
file('<stdin>',m_s3_type12_2) ).
fof(c_0_18_019,axiom,
! [X1] :
( q_1(X1)
| ~ p_2(X1)
| ~ q_3(X1) ),
file('<stdin>',m_s3_type12_3) ).
fof(c_0_19_020,axiom,
! [X1] :
( q_1(X1)
| ~ q_2(X1)
| ~ p_3(X1) ),
file('<stdin>',m_s3_type12_4) ).
fof(c_0_20_021,axiom,
! [X1] :
( q_2(X1)
| ~ p_3(X1)
| ~ q_4(X1) ),
file('<stdin>',m_s3_type12_5) ).
fof(c_0_21_022,axiom,
! [X1] :
( q_2(X1)
| ~ q_3(X1)
| ~ p_4(X1) ),
file('<stdin>',m_s3_type12_6) ).
fof(c_0_22_023,axiom,
! [X1] :
( q_3(X1)
| ~ p_4(X1)
| ~ q_5(X1) ),
file('<stdin>',m_s3_type12_7) ).
fof(c_0_23_024,axiom,
! [X1] :
( q_3(X1)
| ~ q_4(X1)
| ~ p_5(X1) ),
file('<stdin>',m_s3_type12_8) ).
fof(c_0_24_025,axiom,
! [X1] :
( q_4(X1)
| ~ p_5(X1)
| ~ q_6(X1) ),
file('<stdin>',m_s3_type12_9) ).
fof(c_0_25_026,axiom,
! [X1] :
( q_4(X1)
| ~ q_5(X1)
| ~ p_6(X1) ),
file('<stdin>',m_s3_type12_10) ).
fof(c_0_26_027,axiom,
! [X1] :
( q_5(X1)
| ~ p_6(X1)
| ~ q_7(X1) ),
file('<stdin>',m_s3_type12_11) ).
fof(c_0_27_028,axiom,
! [X1] :
( q_5(X1)
| ~ q_6(X1)
| ~ p_7(X1) ),
file('<stdin>',m_s3_type12_12) ).
fof(c_0_28_029,axiom,
! [X1] :
( q_6(X1)
| ~ p_7(X1)
| ~ q_8(X1) ),
file('<stdin>',m_s3_type12_13) ).
fof(c_0_29_030,axiom,
! [X1] :
( q_6(X1)
| ~ q_7(X1)
| ~ p_8(X1) ),
file('<stdin>',m_s3_type12_14) ).
fof(c_0_30_031,axiom,
! [X1] :
( q_7(X1)
| ~ p_8(X1)
| ~ q_9(X1) ),
file('<stdin>',m_s3_type12_15) ).
fof(c_0_31_032,axiom,
! [X1] :
( q_7(X1)
| ~ q_8(X1)
| ~ p_9(X1) ),
file('<stdin>',m_s3_type12_16) ).
fof(c_0_32_033,axiom,
! [X1] :
( ~ sym_p_0(X1)
| sym_p_1(X1)
| sym_p_2(X1) ),
file('<stdin>',sym_m_s3_type11_1) ).
fof(c_0_33_034,axiom,
! [X1] :
( ~ sym_p_0(X1)
| sym_q_1(X1)
| sym_q_2(X1) ),
file('<stdin>',sym_m_s3_type11_2) ).
fof(c_0_34_035,axiom,
! [X1] :
( ~ sym_p_1(X1)
| sym_p_2(X1)
| sym_p_3(X1) ),
file('<stdin>',sym_m_s3_type11_3) ).
fof(c_0_35_036,axiom,
! [X1] :
( ~ sym_p_1(X1)
| sym_q_2(X1)
| sym_q_3(X1) ),
file('<stdin>',sym_m_s3_type11_4) ).
fof(c_0_36_037,axiom,
! [X1] :
( ~ sym_p_2(X1)
| sym_p_3(X1)
| sym_p_4(X1) ),
file('<stdin>',sym_m_s3_type11_5) ).
fof(c_0_37_038,axiom,
! [X1] :
( ~ sym_p_2(X1)
| sym_q_3(X1)
| sym_q_4(X1) ),
file('<stdin>',sym_m_s3_type11_6) ).
fof(c_0_38_039,axiom,
! [X1] :
( ~ sym_p_3(X1)
| sym_p_4(X1)
| sym_p_5(X1) ),
file('<stdin>',sym_m_s3_type11_7) ).
fof(c_0_39_040,axiom,
! [X1] :
( ~ sym_p_3(X1)
| sym_q_4(X1)
| sym_q_5(X1) ),
file('<stdin>',sym_m_s3_type11_8) ).
fof(c_0_40,axiom,
! [X1] :
( ~ sym_p_4(X1)
| sym_p_5(X1)
| sym_p_6(X1) ),
file('<stdin>',sym_m_s3_type11_9) ).
fof(c_0_41,axiom,
! [X1] :
( ~ sym_p_4(X1)
| sym_q_5(X1)
| sym_q_6(X1) ),
file('<stdin>',sym_m_s3_type11_10) ).
fof(c_0_42,axiom,
! [X1] :
( ~ sym_p_5(X1)
| sym_p_6(X1)
| sym_p_7(X1) ),
file('<stdin>',sym_m_s3_type11_11) ).
fof(c_0_43,axiom,
! [X1] :
( ~ sym_p_5(X1)
| sym_q_6(X1)
| sym_q_7(X1) ),
file('<stdin>',sym_m_s3_type11_12) ).
fof(c_0_44,axiom,
! [X1] :
( ~ sym_p_6(X1)
| sym_p_7(X1)
| sym_p_8(X1) ),
file('<stdin>',sym_m_s3_type11_13) ).
fof(c_0_45,axiom,
! [X1] :
( ~ sym_p_6(X1)
| sym_q_7(X1)
| sym_q_8(X1) ),
file('<stdin>',sym_m_s3_type11_14) ).
fof(c_0_46,axiom,
! [X1] :
( ~ sym_p_7(X1)
| sym_p_8(X1)
| sym_p_9(X1) ),
file('<stdin>',sym_m_s3_type11_15) ).
fof(c_0_47,axiom,
! [X1] :
( ~ sym_p_7(X1)
| sym_q_8(X1)
| sym_q_9(X1) ),
file('<stdin>',sym_m_s3_type11_16) ).
fof(c_0_48,axiom,
! [X1] :
( ~ sym_q_0(X1)
| sym_p_1(X1)
| sym_q_2(X1) ),
file('<stdin>',sym_m_s3_type12_1) ).
fof(c_0_49,axiom,
! [X1] :
( ~ sym_q_0(X1)
| sym_q_1(X1)
| sym_p_2(X1) ),
file('<stdin>',sym_m_s3_type12_2) ).
fof(c_0_50,axiom,
! [X1] :
( ~ sym_q_1(X1)
| sym_p_2(X1)
| sym_q_3(X1) ),
file('<stdin>',sym_m_s3_type12_3) ).
fof(c_0_51,axiom,
! [X1] :
( ~ sym_q_1(X1)
| sym_q_2(X1)
| sym_p_3(X1) ),
file('<stdin>',sym_m_s3_type12_4) ).
fof(c_0_52,axiom,
! [X1] :
( ~ sym_q_2(X1)
| sym_p_3(X1)
| sym_q_4(X1) ),
file('<stdin>',sym_m_s3_type12_5) ).
fof(c_0_53,axiom,
! [X1] :
( ~ sym_q_2(X1)
| sym_q_3(X1)
| sym_p_4(X1) ),
file('<stdin>',sym_m_s3_type12_6) ).
fof(c_0_54,axiom,
! [X1] :
( ~ sym_q_3(X1)
| sym_p_4(X1)
| sym_q_5(X1) ),
file('<stdin>',sym_m_s3_type12_7) ).
fof(c_0_55,axiom,
! [X1] :
( ~ sym_q_3(X1)
| sym_q_4(X1)
| sym_p_5(X1) ),
file('<stdin>',sym_m_s3_type12_8) ).
fof(c_0_56,axiom,
! [X1] :
( ~ sym_q_4(X1)
| sym_p_5(X1)
| sym_q_6(X1) ),
file('<stdin>',sym_m_s3_type12_9) ).
fof(c_0_57,axiom,
! [X1] :
( ~ sym_q_4(X1)
| sym_q_5(X1)
| sym_p_6(X1) ),
file('<stdin>',sym_m_s3_type12_10) ).
fof(c_0_58,axiom,
! [X1] :
( ~ sym_q_5(X1)
| sym_p_6(X1)
| sym_q_7(X1) ),
file('<stdin>',sym_m_s3_type12_11) ).
fof(c_0_59,axiom,
! [X1] :
( ~ sym_q_5(X1)
| sym_q_6(X1)
| sym_p_7(X1) ),
file('<stdin>',sym_m_s3_type12_12) ).
fof(c_0_60,axiom,
! [X1] :
( ~ sym_q_6(X1)
| sym_p_7(X1)
| sym_q_8(X1) ),
file('<stdin>',sym_m_s3_type12_13) ).
fof(c_0_61,axiom,
! [X1] :
( ~ sym_q_6(X1)
| sym_q_7(X1)
| sym_p_8(X1) ),
file('<stdin>',sym_m_s3_type12_14) ).
fof(c_0_62,axiom,
! [X1] :
( ~ sym_q_7(X1)
| sym_p_8(X1)
| sym_q_9(X1) ),
file('<stdin>',sym_m_s3_type12_15) ).
fof(c_0_63,axiom,
! [X1] :
( ~ sym_q_7(X1)
| sym_q_8(X1)
| sym_p_9(X1) ),
file('<stdin>',sym_m_s3_type12_16) ).
fof(c_0_64,axiom,
! [X1] :
( p_9(X1)
| ~ p_4(X1) ),
file('<stdin>',m_s3_type2_1) ).
fof(c_0_65,axiom,
! [X1] :
( p_10(X1)
| ~ p_5(X1) ),
file('<stdin>',m_s3_type2_2) ).
fof(c_0_66,axiom,
! [X1] :
( q_9(X1)
| ~ q_4(X1) ),
file('<stdin>',m_s3_type2_3) ).
fof(c_0_67,axiom,
! [X1] :
( q_10(X1)
| ~ q_5(X1) ),
file('<stdin>',m_s3_type2_4) ).
fof(c_0_68,axiom,
! [X1] :
( ~ sym_p_9(X1)
| sym_p_4(X1) ),
file('<stdin>',sym_m_s3_type2_1) ).
fof(c_0_69,axiom,
! [X1] :
( ~ sym_p_10(X1)
| sym_p_5(X1) ),
file('<stdin>',sym_m_s3_type2_2) ).
fof(c_0_70,axiom,
! [X1] :
( ~ sym_q_9(X1)
| sym_q_4(X1) ),
file('<stdin>',sym_m_s3_type2_3) ).
fof(c_0_71,axiom,
! [X1] :
( ~ sym_q_10(X1)
| sym_q_5(X1) ),
file('<stdin>',sym_m_s3_type2_4) ).
fof(c_0_72,axiom,
! [X1] :
( sym_p_0(X1)
| sym_q_0(X1) ),
file('<stdin>',sym_m_s3_goal_1) ).
fof(c_0_73,plain,
! [X1] :
( p_0(X1)
| ~ p_1(X1)
| ~ p_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_74,plain,
! [X1] :
( p_0(X1)
| ~ q_1(X1)
| ~ q_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_75,plain,
! [X1] :
( p_1(X1)
| ~ p_2(X1)
| ~ p_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_76,plain,
! [X1] :
( p_1(X1)
| ~ q_2(X1)
| ~ q_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_77,plain,
! [X1] :
( p_2(X1)
| ~ p_3(X1)
| ~ p_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_78,plain,
! [X1] :
( p_2(X1)
| ~ q_3(X1)
| ~ q_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_79,plain,
! [X1] :
( p_3(X1)
| ~ p_4(X1)
| ~ p_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_80,plain,
! [X1] :
( p_3(X1)
| ~ q_4(X1)
| ~ q_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_81,plain,
! [X1] :
( p_4(X1)
| ~ p_5(X1)
| ~ p_6(X1) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_82,plain,
! [X1] :
( p_4(X1)
| ~ q_5(X1)
| ~ q_6(X1) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_83,plain,
! [X1] :
( p_5(X1)
| ~ p_6(X1)
| ~ p_7(X1) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_84,plain,
! [X1] :
( p_5(X1)
| ~ q_6(X1)
| ~ q_7(X1) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_85,plain,
! [X1] :
( p_6(X1)
| ~ p_7(X1)
| ~ p_8(X1) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_86,plain,
! [X1] :
( p_6(X1)
| ~ q_7(X1)
| ~ q_8(X1) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_87,plain,
! [X1] :
( p_7(X1)
| ~ p_8(X1)
| ~ p_9(X1) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_88,plain,
! [X1] :
( p_7(X1)
| ~ q_8(X1)
| ~ q_9(X1) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_89,plain,
! [X1] :
( q_0(X1)
| ~ p_1(X1)
| ~ q_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_90,plain,
! [X1] :
( q_0(X1)
| ~ q_1(X1)
| ~ p_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_91,plain,
! [X1] :
( q_1(X1)
| ~ p_2(X1)
| ~ q_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_92,plain,
! [X1] :
( q_1(X1)
| ~ q_2(X1)
| ~ p_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_93,plain,
! [X1] :
( q_2(X1)
| ~ p_3(X1)
| ~ q_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_94,plain,
! [X1] :
( q_2(X1)
| ~ q_3(X1)
| ~ p_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_95,plain,
! [X1] :
( q_3(X1)
| ~ p_4(X1)
| ~ q_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_96,plain,
! [X1] :
( q_3(X1)
| ~ q_4(X1)
| ~ p_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_97,plain,
! [X1] :
( q_4(X1)
| ~ p_5(X1)
| ~ q_6(X1) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_98,plain,
! [X1] :
( q_4(X1)
| ~ q_5(X1)
| ~ p_6(X1) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_99,plain,
! [X1] :
( q_5(X1)
| ~ p_6(X1)
| ~ q_7(X1) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_100,plain,
! [X1] :
( q_5(X1)
| ~ q_6(X1)
| ~ p_7(X1) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_101,plain,
! [X1] :
( q_6(X1)
| ~ p_7(X1)
| ~ q_8(X1) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_102,plain,
! [X1] :
( q_6(X1)
| ~ q_7(X1)
| ~ p_8(X1) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_103,plain,
! [X1] :
( q_7(X1)
| ~ p_8(X1)
| ~ q_9(X1) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_104,plain,
! [X1] :
( q_7(X1)
| ~ q_8(X1)
| ~ p_9(X1) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_105,plain,
! [X1] :
( ~ sym_p_0(X1)
| sym_p_1(X1)
| sym_p_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_106,plain,
! [X1] :
( ~ sym_p_0(X1)
| sym_q_1(X1)
| sym_q_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_107,plain,
! [X1] :
( ~ sym_p_1(X1)
| sym_p_2(X1)
| sym_p_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_108,plain,
! [X1] :
( ~ sym_p_1(X1)
| sym_q_2(X1)
| sym_q_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_109,plain,
! [X1] :
( ~ sym_p_2(X1)
| sym_p_3(X1)
| sym_p_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_110,plain,
! [X1] :
( ~ sym_p_2(X1)
| sym_q_3(X1)
| sym_q_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_111,plain,
! [X1] :
( ~ sym_p_3(X1)
| sym_p_4(X1)
| sym_p_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_112,plain,
! [X1] :
( ~ sym_p_3(X1)
| sym_q_4(X1)
| sym_q_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_113,plain,
! [X1] :
( ~ sym_p_4(X1)
| sym_p_5(X1)
| sym_p_6(X1) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_114,plain,
! [X1] :
( ~ sym_p_4(X1)
| sym_q_5(X1)
| sym_q_6(X1) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_115,plain,
! [X1] :
( ~ sym_p_5(X1)
| sym_p_6(X1)
| sym_p_7(X1) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_116,plain,
! [X1] :
( ~ sym_p_5(X1)
| sym_q_6(X1)
| sym_q_7(X1) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_117,plain,
! [X1] :
( ~ sym_p_6(X1)
| sym_p_7(X1)
| sym_p_8(X1) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_118,plain,
! [X1] :
( ~ sym_p_6(X1)
| sym_q_7(X1)
| sym_q_8(X1) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_119,plain,
! [X1] :
( ~ sym_p_7(X1)
| sym_p_8(X1)
| sym_p_9(X1) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_120,plain,
! [X1] :
( ~ sym_p_7(X1)
| sym_q_8(X1)
| sym_q_9(X1) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_121,plain,
! [X1] :
( ~ sym_q_0(X1)
| sym_p_1(X1)
| sym_q_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_122,plain,
! [X1] :
( ~ sym_q_0(X1)
| sym_q_1(X1)
| sym_p_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_123,plain,
! [X1] :
( ~ sym_q_1(X1)
| sym_p_2(X1)
| sym_q_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_124,plain,
! [X1] :
( ~ sym_q_1(X1)
| sym_q_2(X1)
| sym_p_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_125,plain,
! [X1] :
( ~ sym_q_2(X1)
| sym_p_3(X1)
| sym_q_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_126,plain,
! [X1] :
( ~ sym_q_2(X1)
| sym_q_3(X1)
| sym_p_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_127,plain,
! [X1] :
( ~ sym_q_3(X1)
| sym_p_4(X1)
| sym_q_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_128,plain,
! [X1] :
( ~ sym_q_3(X1)
| sym_q_4(X1)
| sym_p_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_129,plain,
! [X1] :
( ~ sym_q_4(X1)
| sym_p_5(X1)
| sym_q_6(X1) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_130,plain,
! [X1] :
( ~ sym_q_4(X1)
| sym_q_5(X1)
| sym_p_6(X1) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_131,plain,
! [X1] :
( ~ sym_q_5(X1)
| sym_p_6(X1)
| sym_q_7(X1) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_132,plain,
! [X1] :
( ~ sym_q_5(X1)
| sym_q_6(X1)
| sym_p_7(X1) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_133,plain,
! [X1] :
( ~ sym_q_6(X1)
| sym_p_7(X1)
| sym_q_8(X1) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_134,plain,
! [X1] :
( ~ sym_q_6(X1)
| sym_q_7(X1)
| sym_p_8(X1) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_135,plain,
! [X1] :
( ~ sym_q_7(X1)
| sym_p_8(X1)
| sym_q_9(X1) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_136,plain,
! [X1] :
( ~ sym_q_7(X1)
| sym_q_8(X1)
| sym_p_9(X1) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_137,plain,
! [X1] :
( p_9(X1)
| ~ p_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_138,plain,
! [X1] :
( p_10(X1)
| ~ p_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_139,plain,
! [X1] :
( q_9(X1)
| ~ q_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_140,plain,
! [X1] :
( q_10(X1)
| ~ q_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_141,plain,
! [X1] :
( ~ sym_p_9(X1)
| sym_p_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_142,plain,
! [X1] :
( ~ sym_p_10(X1)
| sym_p_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_143,plain,
! [X1] :
( ~ sym_q_9(X1)
| sym_q_4(X1) ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_144,plain,
! [X1] :
( ~ sym_q_10(X1)
| sym_q_5(X1) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_145,axiom,
! [X1] :
( sym_p_0(X1)
| sym_q_0(X1) ),
c_0_72 ).
fof(c_0_146,plain,
! [X2] :
( p_0(X2)
| ~ p_1(X2)
| ~ p_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_73]) ).
fof(c_0_147,plain,
! [X2] :
( p_0(X2)
| ~ q_1(X2)
| ~ q_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_74]) ).
fof(c_0_148,plain,
! [X2] :
( p_1(X2)
| ~ p_2(X2)
| ~ p_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_75]) ).
fof(c_0_149,plain,
! [X2] :
( p_1(X2)
| ~ q_2(X2)
| ~ q_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_76]) ).
fof(c_0_150,plain,
! [X2] :
( p_2(X2)
| ~ p_3(X2)
| ~ p_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_77]) ).
fof(c_0_151,plain,
! [X2] :
( p_2(X2)
| ~ q_3(X2)
| ~ q_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_78]) ).
fof(c_0_152,plain,
! [X2] :
( p_3(X2)
| ~ p_4(X2)
| ~ p_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_79]) ).
fof(c_0_153,plain,
! [X2] :
( p_3(X2)
| ~ q_4(X2)
| ~ q_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_80]) ).
fof(c_0_154,plain,
! [X2] :
( p_4(X2)
| ~ p_5(X2)
| ~ p_6(X2) ),
inference(variable_rename,[status(thm)],[c_0_81]) ).
fof(c_0_155,plain,
! [X2] :
( p_4(X2)
| ~ q_5(X2)
| ~ q_6(X2) ),
inference(variable_rename,[status(thm)],[c_0_82]) ).
fof(c_0_156,plain,
! [X2] :
( p_5(X2)
| ~ p_6(X2)
| ~ p_7(X2) ),
inference(variable_rename,[status(thm)],[c_0_83]) ).
fof(c_0_157,plain,
! [X2] :
( p_5(X2)
| ~ q_6(X2)
| ~ q_7(X2) ),
inference(variable_rename,[status(thm)],[c_0_84]) ).
fof(c_0_158,plain,
! [X2] :
( p_6(X2)
| ~ p_7(X2)
| ~ p_8(X2) ),
inference(variable_rename,[status(thm)],[c_0_85]) ).
fof(c_0_159,plain,
! [X2] :
( p_6(X2)
| ~ q_7(X2)
| ~ q_8(X2) ),
inference(variable_rename,[status(thm)],[c_0_86]) ).
fof(c_0_160,plain,
! [X2] :
( p_7(X2)
| ~ p_8(X2)
| ~ p_9(X2) ),
inference(variable_rename,[status(thm)],[c_0_87]) ).
fof(c_0_161,plain,
! [X2] :
( p_7(X2)
| ~ q_8(X2)
| ~ q_9(X2) ),
inference(variable_rename,[status(thm)],[c_0_88]) ).
fof(c_0_162,plain,
! [X2] :
( q_0(X2)
| ~ p_1(X2)
| ~ q_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_89]) ).
fof(c_0_163,plain,
! [X2] :
( q_0(X2)
| ~ q_1(X2)
| ~ p_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_90]) ).
fof(c_0_164,plain,
! [X2] :
( q_1(X2)
| ~ p_2(X2)
| ~ q_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_91]) ).
fof(c_0_165,plain,
! [X2] :
( q_1(X2)
| ~ q_2(X2)
| ~ p_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_92]) ).
fof(c_0_166,plain,
! [X2] :
( q_2(X2)
| ~ p_3(X2)
| ~ q_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_93]) ).
fof(c_0_167,plain,
! [X2] :
( q_2(X2)
| ~ q_3(X2)
| ~ p_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_94]) ).
fof(c_0_168,plain,
! [X2] :
( q_3(X2)
| ~ p_4(X2)
| ~ q_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_95]) ).
fof(c_0_169,plain,
! [X2] :
( q_3(X2)
| ~ q_4(X2)
| ~ p_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_96]) ).
fof(c_0_170,plain,
! [X2] :
( q_4(X2)
| ~ p_5(X2)
| ~ q_6(X2) ),
inference(variable_rename,[status(thm)],[c_0_97]) ).
fof(c_0_171,plain,
! [X2] :
( q_4(X2)
| ~ q_5(X2)
| ~ p_6(X2) ),
inference(variable_rename,[status(thm)],[c_0_98]) ).
fof(c_0_172,plain,
! [X2] :
( q_5(X2)
| ~ p_6(X2)
| ~ q_7(X2) ),
inference(variable_rename,[status(thm)],[c_0_99]) ).
fof(c_0_173,plain,
! [X2] :
( q_5(X2)
| ~ q_6(X2)
| ~ p_7(X2) ),
inference(variable_rename,[status(thm)],[c_0_100]) ).
fof(c_0_174,plain,
! [X2] :
( q_6(X2)
| ~ p_7(X2)
| ~ q_8(X2) ),
inference(variable_rename,[status(thm)],[c_0_101]) ).
fof(c_0_175,plain,
! [X2] :
( q_6(X2)
| ~ q_7(X2)
| ~ p_8(X2) ),
inference(variable_rename,[status(thm)],[c_0_102]) ).
fof(c_0_176,plain,
! [X2] :
( q_7(X2)
| ~ p_8(X2)
| ~ q_9(X2) ),
inference(variable_rename,[status(thm)],[c_0_103]) ).
fof(c_0_177,plain,
! [X2] :
( q_7(X2)
| ~ q_8(X2)
| ~ p_9(X2) ),
inference(variable_rename,[status(thm)],[c_0_104]) ).
fof(c_0_178,plain,
! [X2] :
( ~ sym_p_0(X2)
| sym_p_1(X2)
| sym_p_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_105]) ).
fof(c_0_179,plain,
! [X2] :
( ~ sym_p_0(X2)
| sym_q_1(X2)
| sym_q_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_106]) ).
fof(c_0_180,plain,
! [X2] :
( ~ sym_p_1(X2)
| sym_p_2(X2)
| sym_p_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_107]) ).
fof(c_0_181,plain,
! [X2] :
( ~ sym_p_1(X2)
| sym_q_2(X2)
| sym_q_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_108]) ).
fof(c_0_182,plain,
! [X2] :
( ~ sym_p_2(X2)
| sym_p_3(X2)
| sym_p_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_109]) ).
fof(c_0_183,plain,
! [X2] :
( ~ sym_p_2(X2)
| sym_q_3(X2)
| sym_q_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_110]) ).
fof(c_0_184,plain,
! [X2] :
( ~ sym_p_3(X2)
| sym_p_4(X2)
| sym_p_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_111]) ).
fof(c_0_185,plain,
! [X2] :
( ~ sym_p_3(X2)
| sym_q_4(X2)
| sym_q_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_112]) ).
fof(c_0_186,plain,
! [X2] :
( ~ sym_p_4(X2)
| sym_p_5(X2)
| sym_p_6(X2) ),
inference(variable_rename,[status(thm)],[c_0_113]) ).
fof(c_0_187,plain,
! [X2] :
( ~ sym_p_4(X2)
| sym_q_5(X2)
| sym_q_6(X2) ),
inference(variable_rename,[status(thm)],[c_0_114]) ).
fof(c_0_188,plain,
! [X2] :
( ~ sym_p_5(X2)
| sym_p_6(X2)
| sym_p_7(X2) ),
inference(variable_rename,[status(thm)],[c_0_115]) ).
fof(c_0_189,plain,
! [X2] :
( ~ sym_p_5(X2)
| sym_q_6(X2)
| sym_q_7(X2) ),
inference(variable_rename,[status(thm)],[c_0_116]) ).
fof(c_0_190,plain,
! [X2] :
( ~ sym_p_6(X2)
| sym_p_7(X2)
| sym_p_8(X2) ),
inference(variable_rename,[status(thm)],[c_0_117]) ).
fof(c_0_191,plain,
! [X2] :
( ~ sym_p_6(X2)
| sym_q_7(X2)
| sym_q_8(X2) ),
inference(variable_rename,[status(thm)],[c_0_118]) ).
fof(c_0_192,plain,
! [X2] :
( ~ sym_p_7(X2)
| sym_p_8(X2)
| sym_p_9(X2) ),
inference(variable_rename,[status(thm)],[c_0_119]) ).
fof(c_0_193,plain,
! [X2] :
( ~ sym_p_7(X2)
| sym_q_8(X2)
| sym_q_9(X2) ),
inference(variable_rename,[status(thm)],[c_0_120]) ).
fof(c_0_194,plain,
! [X2] :
( ~ sym_q_0(X2)
| sym_p_1(X2)
| sym_q_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_121]) ).
fof(c_0_195,plain,
! [X2] :
( ~ sym_q_0(X2)
| sym_q_1(X2)
| sym_p_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_122]) ).
fof(c_0_196,plain,
! [X2] :
( ~ sym_q_1(X2)
| sym_p_2(X2)
| sym_q_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_123]) ).
fof(c_0_197,plain,
! [X2] :
( ~ sym_q_1(X2)
| sym_q_2(X2)
| sym_p_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_124]) ).
fof(c_0_198,plain,
! [X2] :
( ~ sym_q_2(X2)
| sym_p_3(X2)
| sym_q_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_125]) ).
fof(c_0_199,plain,
! [X2] :
( ~ sym_q_2(X2)
| sym_q_3(X2)
| sym_p_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_126]) ).
fof(c_0_200,plain,
! [X2] :
( ~ sym_q_3(X2)
| sym_p_4(X2)
| sym_q_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_127]) ).
fof(c_0_201,plain,
! [X2] :
( ~ sym_q_3(X2)
| sym_q_4(X2)
| sym_p_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_128]) ).
fof(c_0_202,plain,
! [X2] :
( ~ sym_q_4(X2)
| sym_p_5(X2)
| sym_q_6(X2) ),
inference(variable_rename,[status(thm)],[c_0_129]) ).
fof(c_0_203,plain,
! [X2] :
( ~ sym_q_4(X2)
| sym_q_5(X2)
| sym_p_6(X2) ),
inference(variable_rename,[status(thm)],[c_0_130]) ).
fof(c_0_204,plain,
! [X2] :
( ~ sym_q_5(X2)
| sym_p_6(X2)
| sym_q_7(X2) ),
inference(variable_rename,[status(thm)],[c_0_131]) ).
fof(c_0_205,plain,
! [X2] :
( ~ sym_q_5(X2)
| sym_q_6(X2)
| sym_p_7(X2) ),
inference(variable_rename,[status(thm)],[c_0_132]) ).
fof(c_0_206,plain,
! [X2] :
( ~ sym_q_6(X2)
| sym_p_7(X2)
| sym_q_8(X2) ),
inference(variable_rename,[status(thm)],[c_0_133]) ).
fof(c_0_207,plain,
! [X2] :
( ~ sym_q_6(X2)
| sym_q_7(X2)
| sym_p_8(X2) ),
inference(variable_rename,[status(thm)],[c_0_134]) ).
fof(c_0_208,plain,
! [X2] :
( ~ sym_q_7(X2)
| sym_p_8(X2)
| sym_q_9(X2) ),
inference(variable_rename,[status(thm)],[c_0_135]) ).
fof(c_0_209,plain,
! [X2] :
( ~ sym_q_7(X2)
| sym_q_8(X2)
| sym_p_9(X2) ),
inference(variable_rename,[status(thm)],[c_0_136]) ).
fof(c_0_210,plain,
! [X2] :
( p_9(X2)
| ~ p_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_137]) ).
fof(c_0_211,plain,
! [X2] :
( p_10(X2)
| ~ p_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_138]) ).
fof(c_0_212,plain,
! [X2] :
( q_9(X2)
| ~ q_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_139]) ).
fof(c_0_213,plain,
! [X2] :
( q_10(X2)
| ~ q_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_140]) ).
fof(c_0_214,plain,
! [X2] :
( ~ sym_p_9(X2)
| sym_p_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_141]) ).
fof(c_0_215,plain,
! [X2] :
( ~ sym_p_10(X2)
| sym_p_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_142]) ).
fof(c_0_216,plain,
! [X2] :
( ~ sym_q_9(X2)
| sym_q_4(X2) ),
inference(variable_rename,[status(thm)],[c_0_143]) ).
fof(c_0_217,plain,
! [X2] :
( ~ sym_q_10(X2)
| sym_q_5(X2) ),
inference(variable_rename,[status(thm)],[c_0_144]) ).
fof(c_0_218,plain,
! [X2] :
( sym_p_0(X2)
| sym_q_0(X2) ),
inference(variable_rename,[status(thm)],[c_0_145]) ).
cnf(c_0_219,plain,
( p_0(X1)
| ~ p_2(X1)
| ~ p_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_220,plain,
( p_0(X1)
| ~ q_2(X1)
| ~ q_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_221,plain,
( p_1(X1)
| ~ p_3(X1)
| ~ p_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_222,plain,
( p_1(X1)
| ~ q_3(X1)
| ~ q_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_223,plain,
( p_2(X1)
| ~ p_4(X1)
| ~ p_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_224,plain,
( p_2(X1)
| ~ q_4(X1)
| ~ q_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_225,plain,
( p_3(X1)
| ~ p_5(X1)
| ~ p_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_226,plain,
( p_3(X1)
| ~ q_5(X1)
| ~ q_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_227,plain,
( p_4(X1)
| ~ p_6(X1)
| ~ p_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_228,plain,
( p_4(X1)
| ~ q_6(X1)
| ~ q_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_229,plain,
( p_5(X1)
| ~ p_7(X1)
| ~ p_6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_230,plain,
( p_5(X1)
| ~ q_7(X1)
| ~ q_6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_231,plain,
( p_6(X1)
| ~ p_8(X1)
| ~ p_7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_232,plain,
( p_6(X1)
| ~ q_8(X1)
| ~ q_7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_233,plain,
( p_7(X1)
| ~ p_9(X1)
| ~ p_8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_234,plain,
( p_7(X1)
| ~ q_9(X1)
| ~ q_8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_235,plain,
( q_0(X1)
| ~ q_2(X1)
| ~ p_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_236,plain,
( q_0(X1)
| ~ p_2(X1)
| ~ q_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_237,plain,
( q_1(X1)
| ~ q_3(X1)
| ~ p_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_238,plain,
( q_1(X1)
| ~ p_3(X1)
| ~ q_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_239,plain,
( q_2(X1)
| ~ q_4(X1)
| ~ p_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_240,plain,
( q_2(X1)
| ~ p_4(X1)
| ~ q_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_241,plain,
( q_3(X1)
| ~ q_5(X1)
| ~ p_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_242,plain,
( q_3(X1)
| ~ p_5(X1)
| ~ q_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_243,plain,
( q_4(X1)
| ~ q_6(X1)
| ~ p_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_244,plain,
( q_4(X1)
| ~ p_6(X1)
| ~ q_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_245,plain,
( q_5(X1)
| ~ q_7(X1)
| ~ p_6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_246,plain,
( q_5(X1)
| ~ p_7(X1)
| ~ q_6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_247,plain,
( q_6(X1)
| ~ q_8(X1)
| ~ p_7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_248,plain,
( q_6(X1)
| ~ p_8(X1)
| ~ q_7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_249,plain,
( q_7(X1)
| ~ q_9(X1)
| ~ p_8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_250,plain,
( q_7(X1)
| ~ p_9(X1)
| ~ q_8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_251,plain,
( sym_p_2(X1)
| sym_p_1(X1)
| ~ sym_p_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_252,plain,
( sym_q_2(X1)
| sym_q_1(X1)
| ~ sym_p_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_253,plain,
( sym_p_3(X1)
| sym_p_2(X1)
| ~ sym_p_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_254,plain,
( sym_q_3(X1)
| sym_q_2(X1)
| ~ sym_p_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_255,plain,
( sym_p_4(X1)
| sym_p_3(X1)
| ~ sym_p_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_256,plain,
( sym_q_4(X1)
| sym_q_3(X1)
| ~ sym_p_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_257,plain,
( sym_p_5(X1)
| sym_p_4(X1)
| ~ sym_p_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_258,plain,
( sym_q_5(X1)
| sym_q_4(X1)
| ~ sym_p_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_259,plain,
( sym_p_6(X1)
| sym_p_5(X1)
| ~ sym_p_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_260,plain,
( sym_q_6(X1)
| sym_q_5(X1)
| ~ sym_p_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_261,plain,
( sym_p_7(X1)
| sym_p_6(X1)
| ~ sym_p_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_262,plain,
( sym_q_7(X1)
| sym_q_6(X1)
| ~ sym_p_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_263,plain,
( sym_p_8(X1)
| sym_p_7(X1)
| ~ sym_p_6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_264,plain,
( sym_q_8(X1)
| sym_q_7(X1)
| ~ sym_p_6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_265,plain,
( sym_p_9(X1)
| sym_p_8(X1)
| ~ sym_p_7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_266,plain,
( sym_q_9(X1)
| sym_q_8(X1)
| ~ sym_p_7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_267,plain,
( sym_q_2(X1)
| sym_p_1(X1)
| ~ sym_q_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_268,plain,
( sym_p_2(X1)
| sym_q_1(X1)
| ~ sym_q_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_269,plain,
( sym_q_3(X1)
| sym_p_2(X1)
| ~ sym_q_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_270,plain,
( sym_p_3(X1)
| sym_q_2(X1)
| ~ sym_q_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_271,plain,
( sym_q_4(X1)
| sym_p_3(X1)
| ~ sym_q_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_272,plain,
( sym_p_4(X1)
| sym_q_3(X1)
| ~ sym_q_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_273,plain,
( sym_q_5(X1)
| sym_p_4(X1)
| ~ sym_q_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_274,plain,
( sym_p_5(X1)
| sym_q_4(X1)
| ~ sym_q_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_275,plain,
( sym_q_6(X1)
| sym_p_5(X1)
| ~ sym_q_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_276,plain,
( sym_p_6(X1)
| sym_q_5(X1)
| ~ sym_q_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_277,plain,
( sym_q_7(X1)
| sym_p_6(X1)
| ~ sym_q_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_278,plain,
( sym_p_7(X1)
| sym_q_6(X1)
| ~ sym_q_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_279,plain,
( sym_q_8(X1)
| sym_p_7(X1)
| ~ sym_q_6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_280,plain,
( sym_p_8(X1)
| sym_q_7(X1)
| ~ sym_q_6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_281,plain,
( sym_q_9(X1)
| sym_p_8(X1)
| ~ sym_q_7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_282,plain,
( sym_p_9(X1)
| sym_q_8(X1)
| ~ sym_q_7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_283,plain,
( p_9(X1)
| ~ p_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_284,plain,
( p_10(X1)
| ~ p_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_285,plain,
( q_9(X1)
| ~ q_4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_286,plain,
( q_10(X1)
| ~ q_5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_213]) ).
cnf(c_0_287,plain,
( sym_p_4(X1)
| ~ sym_p_9(X1) ),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_288,plain,
( sym_p_5(X1)
| ~ sym_p_10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_289,plain,
( sym_q_4(X1)
| ~ sym_q_9(X1) ),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_290,plain,
( sym_q_5(X1)
| ~ sym_q_10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_217]) ).
cnf(c_0_291,plain,
( sym_q_0(X1)
| sym_p_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_292,plain,
( p_0(X1)
| ~ p_2(X1)
| ~ p_1(X1) ),
c_0_219,
[final] ).
cnf(c_0_293,plain,
( p_0(X1)
| ~ q_2(X1)
| ~ q_1(X1) ),
c_0_220,
[final] ).
cnf(c_0_294,plain,
( p_1(X1)
| ~ p_3(X1)
| ~ p_2(X1) ),
c_0_221,
[final] ).
cnf(c_0_295,plain,
( p_1(X1)
| ~ q_3(X1)
| ~ q_2(X1) ),
c_0_222,
[final] ).
cnf(c_0_296,plain,
( p_2(X1)
| ~ p_4(X1)
| ~ p_3(X1) ),
c_0_223,
[final] ).
cnf(c_0_297,plain,
( p_2(X1)
| ~ q_4(X1)
| ~ q_3(X1) ),
c_0_224,
[final] ).
cnf(c_0_298,plain,
( p_3(X1)
| ~ p_5(X1)
| ~ p_4(X1) ),
c_0_225,
[final] ).
cnf(c_0_299,plain,
( p_3(X1)
| ~ q_5(X1)
| ~ q_4(X1) ),
c_0_226,
[final] ).
cnf(c_0_300,plain,
( p_4(X1)
| ~ p_6(X1)
| ~ p_5(X1) ),
c_0_227,
[final] ).
cnf(c_0_301,plain,
( p_4(X1)
| ~ q_6(X1)
| ~ q_5(X1) ),
c_0_228,
[final] ).
cnf(c_0_302,plain,
( p_5(X1)
| ~ p_7(X1)
| ~ p_6(X1) ),
c_0_229,
[final] ).
cnf(c_0_303,plain,
( p_5(X1)
| ~ q_7(X1)
| ~ q_6(X1) ),
c_0_230,
[final] ).
cnf(c_0_304,plain,
( p_6(X1)
| ~ p_8(X1)
| ~ p_7(X1) ),
c_0_231,
[final] ).
cnf(c_0_305,plain,
( p_6(X1)
| ~ q_8(X1)
| ~ q_7(X1) ),
c_0_232,
[final] ).
cnf(c_0_306,plain,
( p_7(X1)
| ~ p_9(X1)
| ~ p_8(X1) ),
c_0_233,
[final] ).
cnf(c_0_307,plain,
( p_7(X1)
| ~ q_9(X1)
| ~ q_8(X1) ),
c_0_234,
[final] ).
cnf(c_0_308,plain,
( q_0(X1)
| ~ q_2(X1)
| ~ p_1(X1) ),
c_0_235,
[final] ).
cnf(c_0_309,plain,
( q_0(X1)
| ~ p_2(X1)
| ~ q_1(X1) ),
c_0_236,
[final] ).
cnf(c_0_310,plain,
( q_1(X1)
| ~ q_3(X1)
| ~ p_2(X1) ),
c_0_237,
[final] ).
cnf(c_0_311,plain,
( q_1(X1)
| ~ p_3(X1)
| ~ q_2(X1) ),
c_0_238,
[final] ).
cnf(c_0_312,plain,
( q_2(X1)
| ~ q_4(X1)
| ~ p_3(X1) ),
c_0_239,
[final] ).
cnf(c_0_313,plain,
( q_2(X1)
| ~ p_4(X1)
| ~ q_3(X1) ),
c_0_240,
[final] ).
cnf(c_0_314,plain,
( q_3(X1)
| ~ q_5(X1)
| ~ p_4(X1) ),
c_0_241,
[final] ).
cnf(c_0_315,plain,
( q_3(X1)
| ~ p_5(X1)
| ~ q_4(X1) ),
c_0_242,
[final] ).
cnf(c_0_316,plain,
( q_4(X1)
| ~ q_6(X1)
| ~ p_5(X1) ),
c_0_243,
[final] ).
cnf(c_0_317,plain,
( q_4(X1)
| ~ p_6(X1)
| ~ q_5(X1) ),
c_0_244,
[final] ).
cnf(c_0_318,plain,
( q_5(X1)
| ~ q_7(X1)
| ~ p_6(X1) ),
c_0_245,
[final] ).
cnf(c_0_319,plain,
( q_5(X1)
| ~ p_7(X1)
| ~ q_6(X1) ),
c_0_246,
[final] ).
cnf(c_0_320,plain,
( q_6(X1)
| ~ q_8(X1)
| ~ p_7(X1) ),
c_0_247,
[final] ).
cnf(c_0_321,plain,
( q_6(X1)
| ~ p_8(X1)
| ~ q_7(X1) ),
c_0_248,
[final] ).
cnf(c_0_322,plain,
( q_7(X1)
| ~ q_9(X1)
| ~ p_8(X1) ),
c_0_249,
[final] ).
cnf(c_0_323,plain,
( q_7(X1)
| ~ p_9(X1)
| ~ q_8(X1) ),
c_0_250,
[final] ).
cnf(c_0_324,plain,
( sym_p_2(X1)
| sym_p_1(X1)
| ~ sym_p_0(X1) ),
c_0_251,
[final] ).
cnf(c_0_325,plain,
( sym_q_2(X1)
| sym_q_1(X1)
| ~ sym_p_0(X1) ),
c_0_252,
[final] ).
cnf(c_0_326,plain,
( sym_p_3(X1)
| sym_p_2(X1)
| ~ sym_p_1(X1) ),
c_0_253,
[final] ).
cnf(c_0_327,plain,
( sym_q_3(X1)
| sym_q_2(X1)
| ~ sym_p_1(X1) ),
c_0_254,
[final] ).
cnf(c_0_328,plain,
( sym_p_4(X1)
| sym_p_3(X1)
| ~ sym_p_2(X1) ),
c_0_255,
[final] ).
cnf(c_0_329,plain,
( sym_q_4(X1)
| sym_q_3(X1)
| ~ sym_p_2(X1) ),
c_0_256,
[final] ).
cnf(c_0_330,plain,
( sym_p_5(X1)
| sym_p_4(X1)
| ~ sym_p_3(X1) ),
c_0_257,
[final] ).
cnf(c_0_331,plain,
( sym_q_5(X1)
| sym_q_4(X1)
| ~ sym_p_3(X1) ),
c_0_258,
[final] ).
cnf(c_0_332,plain,
( sym_p_6(X1)
| sym_p_5(X1)
| ~ sym_p_4(X1) ),
c_0_259,
[final] ).
cnf(c_0_333,plain,
( sym_q_6(X1)
| sym_q_5(X1)
| ~ sym_p_4(X1) ),
c_0_260,
[final] ).
cnf(c_0_334,plain,
( sym_p_7(X1)
| sym_p_6(X1)
| ~ sym_p_5(X1) ),
c_0_261,
[final] ).
cnf(c_0_335,plain,
( sym_q_7(X1)
| sym_q_6(X1)
| ~ sym_p_5(X1) ),
c_0_262,
[final] ).
cnf(c_0_336,plain,
( sym_p_8(X1)
| sym_p_7(X1)
| ~ sym_p_6(X1) ),
c_0_263,
[final] ).
cnf(c_0_337,plain,
( sym_q_8(X1)
| sym_q_7(X1)
| ~ sym_p_6(X1) ),
c_0_264,
[final] ).
cnf(c_0_338,plain,
( sym_p_9(X1)
| sym_p_8(X1)
| ~ sym_p_7(X1) ),
c_0_265,
[final] ).
cnf(c_0_339,plain,
( sym_q_9(X1)
| sym_q_8(X1)
| ~ sym_p_7(X1) ),
c_0_266,
[final] ).
cnf(c_0_340,plain,
( sym_q_2(X1)
| sym_p_1(X1)
| ~ sym_q_0(X1) ),
c_0_267,
[final] ).
cnf(c_0_341,plain,
( sym_p_2(X1)
| sym_q_1(X1)
| ~ sym_q_0(X1) ),
c_0_268,
[final] ).
cnf(c_0_342,plain,
( sym_q_3(X1)
| sym_p_2(X1)
| ~ sym_q_1(X1) ),
c_0_269,
[final] ).
cnf(c_0_343,plain,
( sym_p_3(X1)
| sym_q_2(X1)
| ~ sym_q_1(X1) ),
c_0_270,
[final] ).
cnf(c_0_344,plain,
( sym_q_4(X1)
| sym_p_3(X1)
| ~ sym_q_2(X1) ),
c_0_271,
[final] ).
cnf(c_0_345,plain,
( sym_p_4(X1)
| sym_q_3(X1)
| ~ sym_q_2(X1) ),
c_0_272,
[final] ).
cnf(c_0_346,plain,
( sym_q_5(X1)
| sym_p_4(X1)
| ~ sym_q_3(X1) ),
c_0_273,
[final] ).
cnf(c_0_347,plain,
( sym_p_5(X1)
| sym_q_4(X1)
| ~ sym_q_3(X1) ),
c_0_274,
[final] ).
cnf(c_0_348,plain,
( sym_q_6(X1)
| sym_p_5(X1)
| ~ sym_q_4(X1) ),
c_0_275,
[final] ).
cnf(c_0_349,plain,
( sym_p_6(X1)
| sym_q_5(X1)
| ~ sym_q_4(X1) ),
c_0_276,
[final] ).
cnf(c_0_350,plain,
( sym_q_7(X1)
| sym_p_6(X1)
| ~ sym_q_5(X1) ),
c_0_277,
[final] ).
cnf(c_0_351,plain,
( sym_p_7(X1)
| sym_q_6(X1)
| ~ sym_q_5(X1) ),
c_0_278,
[final] ).
cnf(c_0_352,plain,
( sym_q_8(X1)
| sym_p_7(X1)
| ~ sym_q_6(X1) ),
c_0_279,
[final] ).
cnf(c_0_353,plain,
( sym_p_8(X1)
| sym_q_7(X1)
| ~ sym_q_6(X1) ),
c_0_280,
[final] ).
cnf(c_0_354,plain,
( sym_q_9(X1)
| sym_p_8(X1)
| ~ sym_q_7(X1) ),
c_0_281,
[final] ).
cnf(c_0_355,plain,
( sym_p_9(X1)
| sym_q_8(X1)
| ~ sym_q_7(X1) ),
c_0_282,
[final] ).
cnf(c_0_356,plain,
( p_9(X1)
| ~ p_4(X1) ),
c_0_283,
[final] ).
cnf(c_0_357,plain,
( p_10(X1)
| ~ p_5(X1) ),
c_0_284,
[final] ).
cnf(c_0_358,plain,
( q_9(X1)
| ~ q_4(X1) ),
c_0_285,
[final] ).
cnf(c_0_359,plain,
( q_10(X1)
| ~ q_5(X1) ),
c_0_286,
[final] ).
cnf(c_0_360,plain,
( sym_p_4(X1)
| ~ sym_p_9(X1) ),
c_0_287,
[final] ).
cnf(c_0_361,plain,
( sym_p_5(X1)
| ~ sym_p_10(X1) ),
c_0_288,
[final] ).
cnf(c_0_362,plain,
( sym_q_4(X1)
| ~ sym_q_9(X1) ),
c_0_289,
[final] ).
cnf(c_0_363,plain,
( sym_q_5(X1)
| ~ sym_q_10(X1) ),
c_0_290,
[final] ).
cnf(c_0_364,plain,
( sym_q_0(X1)
| sym_p_0(X1) ),
c_0_291,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_292_0,axiom,
( p_0(X1)
| ~ p_2(X1)
| ~ p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_292_1,axiom,
( ~ p_2(X1)
| p_0(X1)
| ~ p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_292_2,axiom,
( ~ p_1(X1)
| ~ p_2(X1)
| p_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_293_0,axiom,
( p_0(X1)
| ~ q_2(X1)
| ~ q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_1,axiom,
( ~ q_2(X1)
| p_0(X1)
| ~ q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_2,axiom,
( ~ q_1(X1)
| ~ q_2(X1)
| p_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_294_0,axiom,
( p_1(X1)
| ~ p_3(X1)
| ~ p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_1,axiom,
( ~ p_3(X1)
| p_1(X1)
| ~ p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_2,axiom,
( ~ p_2(X1)
| ~ p_3(X1)
| p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_295_0,axiom,
( p_1(X1)
| ~ q_3(X1)
| ~ q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_1,axiom,
( ~ q_3(X1)
| p_1(X1)
| ~ q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_2,axiom,
( ~ q_2(X1)
| ~ q_3(X1)
| p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_296_0,axiom,
( p_2(X1)
| ~ p_4(X1)
| ~ p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_1,axiom,
( ~ p_4(X1)
| p_2(X1)
| ~ p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_2,axiom,
( ~ p_3(X1)
| ~ p_4(X1)
| p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_297_0,axiom,
( p_2(X1)
| ~ q_4(X1)
| ~ q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_1,axiom,
( ~ q_4(X1)
| p_2(X1)
| ~ q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_2,axiom,
( ~ q_3(X1)
| ~ q_4(X1)
| p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_298_0,axiom,
( p_3(X1)
| ~ p_5(X1)
| ~ p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_1,axiom,
( ~ p_5(X1)
| p_3(X1)
| ~ p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_2,axiom,
( ~ p_4(X1)
| ~ p_5(X1)
| p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_299_0,axiom,
( p_3(X1)
| ~ q_5(X1)
| ~ q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_1,axiom,
( ~ q_5(X1)
| p_3(X1)
| ~ q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_2,axiom,
( ~ q_4(X1)
| ~ q_5(X1)
| p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_300_0,axiom,
( p_4(X1)
| ~ p_6(X1)
| ~ p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_1,axiom,
( ~ p_6(X1)
| p_4(X1)
| ~ p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_2,axiom,
( ~ p_5(X1)
| ~ p_6(X1)
| p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_301_0,axiom,
( p_4(X1)
| ~ q_6(X1)
| ~ q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_1,axiom,
( ~ q_6(X1)
| p_4(X1)
| ~ q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_2,axiom,
( ~ q_5(X1)
| ~ q_6(X1)
| p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_302_0,axiom,
( p_5(X1)
| ~ p_7(X1)
| ~ p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_1,axiom,
( ~ p_7(X1)
| p_5(X1)
| ~ p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_2,axiom,
( ~ p_6(X1)
| ~ p_7(X1)
| p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_303_0,axiom,
( p_5(X1)
| ~ q_7(X1)
| ~ q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_1,axiom,
( ~ q_7(X1)
| p_5(X1)
| ~ q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_2,axiom,
( ~ q_6(X1)
| ~ q_7(X1)
| p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_304_0,axiom,
( p_6(X1)
| ~ p_8(X1)
| ~ p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_1,axiom,
( ~ p_8(X1)
| p_6(X1)
| ~ p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_2,axiom,
( ~ p_7(X1)
| ~ p_8(X1)
| p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_305_0,axiom,
( p_6(X1)
| ~ q_8(X1)
| ~ q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_1,axiom,
( ~ q_8(X1)
| p_6(X1)
| ~ q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_2,axiom,
( ~ q_7(X1)
| ~ q_8(X1)
| p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_306_0,axiom,
( p_7(X1)
| ~ p_9(X1)
| ~ p_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_1,axiom,
( ~ p_9(X1)
| p_7(X1)
| ~ p_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_2,axiom,
( ~ p_8(X1)
| ~ p_9(X1)
| p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_307_0,axiom,
( p_7(X1)
| ~ q_9(X1)
| ~ q_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_1,axiom,
( ~ q_9(X1)
| p_7(X1)
| ~ q_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_2,axiom,
( ~ q_8(X1)
| ~ q_9(X1)
| p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_308_0,axiom,
( q_0(X1)
| ~ q_2(X1)
| ~ p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_1,axiom,
( ~ q_2(X1)
| q_0(X1)
| ~ p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_2,axiom,
( ~ p_1(X1)
| ~ q_2(X1)
| q_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_309_0,axiom,
( q_0(X1)
| ~ p_2(X1)
| ~ q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_1,axiom,
( ~ p_2(X1)
| q_0(X1)
| ~ q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_2,axiom,
( ~ q_1(X1)
| ~ p_2(X1)
| q_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_310_0,axiom,
( q_1(X1)
| ~ q_3(X1)
| ~ p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_1,axiom,
( ~ q_3(X1)
| q_1(X1)
| ~ p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_2,axiom,
( ~ p_2(X1)
| ~ q_3(X1)
| q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_311_0,axiom,
( q_1(X1)
| ~ p_3(X1)
| ~ q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_1,axiom,
( ~ p_3(X1)
| q_1(X1)
| ~ q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_2,axiom,
( ~ q_2(X1)
| ~ p_3(X1)
| q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_312_0,axiom,
( q_2(X1)
| ~ q_4(X1)
| ~ p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_1,axiom,
( ~ q_4(X1)
| q_2(X1)
| ~ p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_2,axiom,
( ~ p_3(X1)
| ~ q_4(X1)
| q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_313_0,axiom,
( q_2(X1)
| ~ p_4(X1)
| ~ q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_1,axiom,
( ~ p_4(X1)
| q_2(X1)
| ~ q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_2,axiom,
( ~ q_3(X1)
| ~ p_4(X1)
| q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_314_0,axiom,
( q_3(X1)
| ~ q_5(X1)
| ~ p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_1,axiom,
( ~ q_5(X1)
| q_3(X1)
| ~ p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_2,axiom,
( ~ p_4(X1)
| ~ q_5(X1)
| q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_315_0,axiom,
( q_3(X1)
| ~ p_5(X1)
| ~ q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_1,axiom,
( ~ p_5(X1)
| q_3(X1)
| ~ q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_2,axiom,
( ~ q_4(X1)
| ~ p_5(X1)
| q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_316_0,axiom,
( q_4(X1)
| ~ q_6(X1)
| ~ p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_1,axiom,
( ~ q_6(X1)
| q_4(X1)
| ~ p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_2,axiom,
( ~ p_5(X1)
| ~ q_6(X1)
| q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_317_0,axiom,
( q_4(X1)
| ~ p_6(X1)
| ~ q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_1,axiom,
( ~ p_6(X1)
| q_4(X1)
| ~ q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_2,axiom,
( ~ q_5(X1)
| ~ p_6(X1)
| q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_318_0,axiom,
( q_5(X1)
| ~ q_7(X1)
| ~ p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_1,axiom,
( ~ q_7(X1)
| q_5(X1)
| ~ p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_2,axiom,
( ~ p_6(X1)
| ~ q_7(X1)
| q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_319_0,axiom,
( q_5(X1)
| ~ p_7(X1)
| ~ q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_1,axiom,
( ~ p_7(X1)
| q_5(X1)
| ~ q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_2,axiom,
( ~ q_6(X1)
| ~ p_7(X1)
| q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_320_0,axiom,
( q_6(X1)
| ~ q_8(X1)
| ~ p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_1,axiom,
( ~ q_8(X1)
| q_6(X1)
| ~ p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_2,axiom,
( ~ p_7(X1)
| ~ q_8(X1)
| q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_321_0,axiom,
( q_6(X1)
| ~ p_8(X1)
| ~ q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_1,axiom,
( ~ p_8(X1)
| q_6(X1)
| ~ q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_2,axiom,
( ~ q_7(X1)
| ~ p_8(X1)
| q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_322_0,axiom,
( q_7(X1)
| ~ q_9(X1)
| ~ p_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_1,axiom,
( ~ q_9(X1)
| q_7(X1)
| ~ p_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_2,axiom,
( ~ p_8(X1)
| ~ q_9(X1)
| q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_323_0,axiom,
( q_7(X1)
| ~ p_9(X1)
| ~ q_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_1,axiom,
( ~ p_9(X1)
| q_7(X1)
| ~ q_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_2,axiom,
( ~ q_8(X1)
| ~ p_9(X1)
| q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_324_0,axiom,
( sym_p_2(X1)
| sym_p_1(X1)
| ~ sym_p_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_1,axiom,
( sym_p_1(X1)
| sym_p_2(X1)
| ~ sym_p_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_2,axiom,
( ~ sym_p_0(X1)
| sym_p_1(X1)
| sym_p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_325_0,axiom,
( sym_q_2(X1)
| sym_q_1(X1)
| ~ sym_p_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_1,axiom,
( sym_q_1(X1)
| sym_q_2(X1)
| ~ sym_p_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_2,axiom,
( ~ sym_p_0(X1)
| sym_q_1(X1)
| sym_q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_326_0,axiom,
( sym_p_3(X1)
| sym_p_2(X1)
| ~ sym_p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_1,axiom,
( sym_p_2(X1)
| sym_p_3(X1)
| ~ sym_p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_2,axiom,
( ~ sym_p_1(X1)
| sym_p_2(X1)
| sym_p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_327_0,axiom,
( sym_q_3(X1)
| sym_q_2(X1)
| ~ sym_p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_1,axiom,
( sym_q_2(X1)
| sym_q_3(X1)
| ~ sym_p_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_2,axiom,
( ~ sym_p_1(X1)
| sym_q_2(X1)
| sym_q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_328_0,axiom,
( sym_p_4(X1)
| sym_p_3(X1)
| ~ sym_p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_1,axiom,
( sym_p_3(X1)
| sym_p_4(X1)
| ~ sym_p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_2,axiom,
( ~ sym_p_2(X1)
| sym_p_3(X1)
| sym_p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_329_0,axiom,
( sym_q_4(X1)
| sym_q_3(X1)
| ~ sym_p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_1,axiom,
( sym_q_3(X1)
| sym_q_4(X1)
| ~ sym_p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_2,axiom,
( ~ sym_p_2(X1)
| sym_q_3(X1)
| sym_q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_330_0,axiom,
( sym_p_5(X1)
| sym_p_4(X1)
| ~ sym_p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_1,axiom,
( sym_p_4(X1)
| sym_p_5(X1)
| ~ sym_p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_2,axiom,
( ~ sym_p_3(X1)
| sym_p_4(X1)
| sym_p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_331_0,axiom,
( sym_q_5(X1)
| sym_q_4(X1)
| ~ sym_p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_1,axiom,
( sym_q_4(X1)
| sym_q_5(X1)
| ~ sym_p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_2,axiom,
( ~ sym_p_3(X1)
| sym_q_4(X1)
| sym_q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_332_0,axiom,
( sym_p_6(X1)
| sym_p_5(X1)
| ~ sym_p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_1,axiom,
( sym_p_5(X1)
| sym_p_6(X1)
| ~ sym_p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_2,axiom,
( ~ sym_p_4(X1)
| sym_p_5(X1)
| sym_p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_333_0,axiom,
( sym_q_6(X1)
| sym_q_5(X1)
| ~ sym_p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_1,axiom,
( sym_q_5(X1)
| sym_q_6(X1)
| ~ sym_p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_2,axiom,
( ~ sym_p_4(X1)
| sym_q_5(X1)
| sym_q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_334_0,axiom,
( sym_p_7(X1)
| sym_p_6(X1)
| ~ sym_p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_1,axiom,
( sym_p_6(X1)
| sym_p_7(X1)
| ~ sym_p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_2,axiom,
( ~ sym_p_5(X1)
| sym_p_6(X1)
| sym_p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_335_0,axiom,
( sym_q_7(X1)
| sym_q_6(X1)
| ~ sym_p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_1,axiom,
( sym_q_6(X1)
| sym_q_7(X1)
| ~ sym_p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_2,axiom,
( ~ sym_p_5(X1)
| sym_q_6(X1)
| sym_q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_336_0,axiom,
( sym_p_8(X1)
| sym_p_7(X1)
| ~ sym_p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_1,axiom,
( sym_p_7(X1)
| sym_p_8(X1)
| ~ sym_p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_2,axiom,
( ~ sym_p_6(X1)
| sym_p_7(X1)
| sym_p_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_337_0,axiom,
( sym_q_8(X1)
| sym_q_7(X1)
| ~ sym_p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_1,axiom,
( sym_q_7(X1)
| sym_q_8(X1)
| ~ sym_p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_2,axiom,
( ~ sym_p_6(X1)
| sym_q_7(X1)
| sym_q_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_338_0,axiom,
( sym_p_9(X1)
| sym_p_8(X1)
| ~ sym_p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_1,axiom,
( sym_p_8(X1)
| sym_p_9(X1)
| ~ sym_p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_2,axiom,
( ~ sym_p_7(X1)
| sym_p_8(X1)
| sym_p_9(X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_339_0,axiom,
( sym_q_9(X1)
| sym_q_8(X1)
| ~ sym_p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_1,axiom,
( sym_q_8(X1)
| sym_q_9(X1)
| ~ sym_p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_2,axiom,
( ~ sym_p_7(X1)
| sym_q_8(X1)
| sym_q_9(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_340_0,axiom,
( sym_q_2(X1)
| sym_p_1(X1)
| ~ sym_q_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_1,axiom,
( sym_p_1(X1)
| sym_q_2(X1)
| ~ sym_q_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_2,axiom,
( ~ sym_q_0(X1)
| sym_p_1(X1)
| sym_q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_341_0,axiom,
( sym_p_2(X1)
| sym_q_1(X1)
| ~ sym_q_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_1,axiom,
( sym_q_1(X1)
| sym_p_2(X1)
| ~ sym_q_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_2,axiom,
( ~ sym_q_0(X1)
| sym_q_1(X1)
| sym_p_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_342_0,axiom,
( sym_q_3(X1)
| sym_p_2(X1)
| ~ sym_q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_1,axiom,
( sym_p_2(X1)
| sym_q_3(X1)
| ~ sym_q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_2,axiom,
( ~ sym_q_1(X1)
| sym_p_2(X1)
| sym_q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_343_0,axiom,
( sym_p_3(X1)
| sym_q_2(X1)
| ~ sym_q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_1,axiom,
( sym_q_2(X1)
| sym_p_3(X1)
| ~ sym_q_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_2,axiom,
( ~ sym_q_1(X1)
| sym_q_2(X1)
| sym_p_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_344_0,axiom,
( sym_q_4(X1)
| sym_p_3(X1)
| ~ sym_q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_1,axiom,
( sym_p_3(X1)
| sym_q_4(X1)
| ~ sym_q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_2,axiom,
( ~ sym_q_2(X1)
| sym_p_3(X1)
| sym_q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_345_0,axiom,
( sym_p_4(X1)
| sym_q_3(X1)
| ~ sym_q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_1,axiom,
( sym_q_3(X1)
| sym_p_4(X1)
| ~ sym_q_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_2,axiom,
( ~ sym_q_2(X1)
| sym_q_3(X1)
| sym_p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_346_0,axiom,
( sym_q_5(X1)
| sym_p_4(X1)
| ~ sym_q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_1,axiom,
( sym_p_4(X1)
| sym_q_5(X1)
| ~ sym_q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_2,axiom,
( ~ sym_q_3(X1)
| sym_p_4(X1)
| sym_q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_347_0,axiom,
( sym_p_5(X1)
| sym_q_4(X1)
| ~ sym_q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_1,axiom,
( sym_q_4(X1)
| sym_p_5(X1)
| ~ sym_q_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_2,axiom,
( ~ sym_q_3(X1)
| sym_q_4(X1)
| sym_p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_348_0,axiom,
( sym_q_6(X1)
| sym_p_5(X1)
| ~ sym_q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_1,axiom,
( sym_p_5(X1)
| sym_q_6(X1)
| ~ sym_q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_2,axiom,
( ~ sym_q_4(X1)
| sym_p_5(X1)
| sym_q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_349_0,axiom,
( sym_p_6(X1)
| sym_q_5(X1)
| ~ sym_q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_1,axiom,
( sym_q_5(X1)
| sym_p_6(X1)
| ~ sym_q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_2,axiom,
( ~ sym_q_4(X1)
| sym_q_5(X1)
| sym_p_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_350_0,axiom,
( sym_q_7(X1)
| sym_p_6(X1)
| ~ sym_q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_1,axiom,
( sym_p_6(X1)
| sym_q_7(X1)
| ~ sym_q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_2,axiom,
( ~ sym_q_5(X1)
| sym_p_6(X1)
| sym_q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_351_0,axiom,
( sym_p_7(X1)
| sym_q_6(X1)
| ~ sym_q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_1,axiom,
( sym_q_6(X1)
| sym_p_7(X1)
| ~ sym_q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_2,axiom,
( ~ sym_q_5(X1)
| sym_q_6(X1)
| sym_p_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_352_0,axiom,
( sym_q_8(X1)
| sym_p_7(X1)
| ~ sym_q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_1,axiom,
( sym_p_7(X1)
| sym_q_8(X1)
| ~ sym_q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_2,axiom,
( ~ sym_q_6(X1)
| sym_p_7(X1)
| sym_q_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_353_0,axiom,
( sym_p_8(X1)
| sym_q_7(X1)
| ~ sym_q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_1,axiom,
( sym_q_7(X1)
| sym_p_8(X1)
| ~ sym_q_6(X1) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_2,axiom,
( ~ sym_q_6(X1)
| sym_q_7(X1)
| sym_p_8(X1) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_354_0,axiom,
( sym_q_9(X1)
| sym_p_8(X1)
| ~ sym_q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_354_1,axiom,
( sym_p_8(X1)
| sym_q_9(X1)
| ~ sym_q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_354_2,axiom,
( ~ sym_q_7(X1)
| sym_p_8(X1)
| sym_q_9(X1) ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_355_0,axiom,
( sym_p_9(X1)
| sym_q_8(X1)
| ~ sym_q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_355_1,axiom,
( sym_q_8(X1)
| sym_p_9(X1)
| ~ sym_q_7(X1) ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_355_2,axiom,
( ~ sym_q_7(X1)
| sym_q_8(X1)
| sym_p_9(X1) ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_356_0,axiom,
( p_9(X1)
| ~ p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_356_1,axiom,
( ~ p_4(X1)
| p_9(X1) ),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_357_0,axiom,
( p_10(X1)
| ~ p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_357_1,axiom,
( ~ p_5(X1)
| p_10(X1) ),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_358_0,axiom,
( q_9(X1)
| ~ q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_358_1,axiom,
( ~ q_4(X1)
| q_9(X1) ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_359_0,axiom,
( q_10(X1)
| ~ q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_359_1,axiom,
( ~ q_5(X1)
| q_10(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_360_0,axiom,
( sym_p_4(X1)
| ~ sym_p_9(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_360_1,axiom,
( ~ sym_p_9(X1)
| sym_p_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_361_0,axiom,
( sym_p_5(X1)
| ~ sym_p_10(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_361_1,axiom,
( ~ sym_p_10(X1)
| sym_p_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_362_0,axiom,
( sym_q_4(X1)
| ~ sym_q_9(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_362_1,axiom,
( ~ sym_q_9(X1)
| sym_q_4(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_363_0,axiom,
( sym_q_5(X1)
| ~ sym_q_10(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_363_1,axiom,
( ~ sym_q_10(X1)
| sym_q_5(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_364_0,axiom,
( sym_q_0(X1)
| sym_p_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_364_1,axiom,
( sym_p_0(X1)
| sym_q_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_041,negated_conjecture,
! [X1] :
( ~ p_0(X1)
| ~ q_0(X1) ),
file('<stdin>',m_s3_goal_1) ).
fof(c_0_1_042,negated_conjecture,
! [X1] :
( ~ p_0(X1)
| ~ q_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_043,negated_conjecture,
! [X2] :
( ~ p_0(X2)
| ~ q_0(X2) ),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3_044,negated_conjecture,
( ~ q_0(X1)
| ~ p_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_045,negated_conjecture,
( ~ q_0(X1)
| ~ p_0(X1) ),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_101,plain,
( sym_q_2(X0)
| sym_q_1(X0)
| ~ sym_p_0(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_325_2) ).
cnf(c_255,plain,
( ~ sym_p_0(a)
| sym_q_2(a)
| sym_q_1(a) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_113,plain,
( sym_q_4(X0)
| sym_q_3(X0)
| ~ sym_p_2(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_329_2) ).
cnf(c_251,plain,
( ~ sym_p_2(a)
| sym_q_3(a)
| sym_q_4(a) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_119,plain,
( sym_q_5(X0)
| sym_q_4(X0)
| ~ sym_p_3(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_331_2) ).
cnf(c_249,plain,
( ~ sym_p_3(a)
| sym_q_4(a)
| sym_q_5(a) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_125,plain,
( sym_q_6(X0)
| sym_q_5(X0)
| ~ sym_p_4(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_333_2) ).
cnf(c_247,plain,
( ~ sym_p_4(a)
| sym_q_5(a)
| sym_q_6(a) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_131,plain,
( sym_q_7(X0)
| sym_q_6(X0)
| ~ sym_p_5(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_335_2) ).
cnf(c_245,plain,
( ~ sym_p_5(a)
| sym_q_6(a)
| sym_q_7(a) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_137,plain,
( sym_q_8(X0)
| sym_q_7(X0)
| ~ sym_p_6(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_337_2) ).
cnf(c_243,plain,
( ~ sym_p_6(a)
| sym_q_7(a)
| sym_q_8(a) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_143,plain,
( sym_q_9(X0)
| sym_q_8(X0)
| ~ sym_p_7(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_339_2) ).
cnf(c_241,plain,
( ~ sym_p_7(a)
| sym_q_8(a)
| sym_q_9(a) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_149,plain,
( sym_p_2(X0)
| sym_q_1(X0)
| ~ sym_q_0(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_341_2) ).
cnf(c_239,plain,
( sym_p_2(a)
| sym_q_1(a)
| ~ sym_q_0(a) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_155,plain,
( sym_p_3(X0)
| sym_q_2(X0)
| ~ sym_q_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_343_2) ).
cnf(c_237,plain,
( sym_q_2(a)
| ~ sym_q_1(a)
| sym_p_3(a) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_161,plain,
( sym_p_4(X0)
| sym_q_3(X0)
| ~ sym_q_2(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_345_2) ).
cnf(c_235,plain,
( ~ sym_q_2(a)
| sym_q_3(a)
| sym_p_4(a) ),
inference(instantiation,[status(thm)],[c_161]) ).
cnf(c_167,plain,
( sym_p_5(X0)
| sym_q_4(X0)
| ~ sym_q_3(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_347_2) ).
cnf(c_233,plain,
( ~ sym_q_3(a)
| sym_q_4(a)
| sym_p_5(a) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_173,plain,
( sym_p_6(X0)
| sym_q_5(X0)
| ~ sym_q_4(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_349_2) ).
cnf(c_231,plain,
( ~ sym_q_4(a)
| sym_q_5(a)
| sym_p_6(a) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_179,plain,
( sym_p_7(X0)
| sym_q_6(X0)
| ~ sym_q_5(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_351_2) ).
cnf(c_229,plain,
( ~ sym_q_5(a)
| sym_q_6(a)
| sym_p_7(a) ),
inference(instantiation,[status(thm)],[c_179]) ).
cnf(c_185,plain,
( sym_p_8(X0)
| sym_q_7(X0)
| ~ sym_q_6(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_353_2) ).
cnf(c_227,plain,
( ~ sym_q_6(a)
| sym_q_7(a)
| sym_p_8(a) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_191,plain,
( sym_p_9(X0)
| sym_q_8(X0)
| ~ sym_q_7(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_355_2) ).
cnf(c_225,plain,
( ~ sym_q_7(a)
| sym_q_8(a)
| sym_p_9(a) ),
inference(instantiation,[status(thm)],[c_191]) ).
cnf(c_209,plain,
( sym_q_0(X0)
| sym_p_0(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_364_1) ).
cnf(c_220,plain,
( sym_p_0(a)
| sym_q_0(a) ),
inference(instantiation,[status(thm)],[c_209]) ).
cnf(c_214,plain,
~ sym_p_8(a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_35_0) ).
cnf(c_215,plain,
~ sym_p_9(a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_34_0) ).
cnf(c_216,plain,
~ sym_q_8(a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_33_0) ).
cnf(c_217,plain,
~ sym_q_9(a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_471384.p',c_0_32_0) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_255,c_251,c_249,c_247,c_245,c_243,c_241,c_239,c_237,c_235,c_233,c_231,c_229,c_227,c_225,c_220,c_214,c_215,c_216,c_217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 21:05:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.21/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41 % Orientation found
% 0.21/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_88e959.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_471384.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_489e1c | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 0.21/0.45 % --inst_prop_sim_new false
% 0.21/0.45 % --inst_orphan_elimination true
% 0.21/0.45 % --inst_learning_loop_flag true
% 0.21/0.45 % --inst_learning_start 3000
% 0.21/0.45 % --inst_learning_factor 2
% 0.21/0.45 % --inst_start_prop_sim_after_learn 3
% 0.21/0.45 % --inst_sel_renew solver
% 0.21/0.45 % --inst_lit_activity_flag true
% 0.21/0.45 % --inst_out_proof true
% 0.21/0.45
% 0.21/0.45 % ------ Resolution Options
% 0.21/0.45
% 0.21/0.45 % --resolution_flag true
% 0.21/0.45 % --res_lit_sel kbo_max
% 0.21/0.45 % --res_to_prop_solver none
% 0.21/0.45 % --res_prop_simpl_new false
% 0.21/0.45 % --res_prop_simpl_given false
% 0.21/0.45 % --res_passive_queue_type priority_queues
% 0.21/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45 % --res_passive_queues_freq [15;5]
% 0.21/0.45 % --res_forward_subs full
% 0.21/0.45 % --res_backward_subs full
% 0.21/0.45 % --res_forward_subs_resolution true
% 0.21/0.45 % --res_backward_subs_resolution true
% 0.21/0.45 % --res_orphan_elimination false
% 0.21/0.45 % --res_time_limit 1000.
% 0.21/0.45 % --res_out_proof true
% 0.21/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_88e959.s
% 0.21/0.45 % --modulo true
% 0.21/0.45
% 0.21/0.45 % ------ Combination Options
% 0.21/0.45
% 0.21/0.45 % --comb_res_mult 1000
% 0.21/0.45 % --comb_inst_mult 300
% 0.21/0.45 % ------
% 0.21/0.45
% 0.21/0.45 % ------ Parsing...% successful
% 0.21/0.45
% 0.21/0.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % ------ Statistics
% 0.21/0.45
% 0.21/0.45 % ------ General
% 0.21/0.45
% 0.21/0.45 % num_of_input_clauses: 219
% 0.21/0.45 % num_of_input_neg_conjectures: 1
% 0.21/0.45 % num_of_splits: 0
% 0.21/0.45 % num_of_split_atoms: 0
% 0.21/0.45 % num_of_sem_filtered_clauses: 0
% 0.21/0.45 % num_of_subtypes: 0
% 0.21/0.45 % monotx_restored_types: 0
% 0.21/0.45 % sat_num_of_epr_types: 0
% 0.21/0.45 % sat_num_of_non_cyclic_types: 0
% 0.21/0.45 % sat_guarded_non_collapsed_types: 0
% 0.21/0.45 % is_epr: 0
% 0.21/0.45 % is_horn: 0
% 0.21/0.45 % has_eq: 0
% 0.21/0.45 % num_pure_diseq_elim: 0
% 0.21/0.45 % simp_replaced_by: 0
% 0.21/0.45 % res_preprocessed: 0
% 0.21/0.45 % prep_upred: 0
% 0.21/0.45 % prep_unflattend: 0
% 0.21/0.45 % pred_elim_cands: 0
% 0.21/0.45 % pred_elim: 0
% 0.21/0.45 % pred_elim_cl: 0
% 0.21/0.45 % pred_elim_cycles: 0
% 0.21/0.45 % forced_gc_time: 0
% 0.21/0.45 % gc_basic_clause_elim: 0
% 0.21/0.45 % parsing_time: 0.005
% 0.21/0.45 % sem_filter_time: 0.
% 0.21/0.45 % pred_elim_time: 0.
% 0.21/0.45 % out_proof_time: 0.001
% 0.21/0.45 % monotx_time: 0.
% 0.21/0.45 % subtype_inf_time: 0.
% 0.21/0.45 % unif_index_cands_time: 0.
% 0.21/0.45 % unif_index_add_time: 0.
% 0.21/0.45 % total_time: 0.029
% 0.21/0.45 % num_of_symbols: 70
% 0.21/0.45 % num_of_terms: 180
% 0.21/0.45
% 0.21/0.45 % ------ Propositional Solver
% 0.21/0.45
% 0.21/0.45 % prop_solver_calls: 0
% 0.21/0.45 % prop_fast_solver_calls: 1
% 0.21/0.45 % prop_num_of_clauses: 152
% 0.21/0.45 % prop_preprocess_simplified: 284
% 0.21/0.45 % prop_fo_subsumed: 0
% 0.21/0.45 % prop_solver_time: 0.
% 0.21/0.45 % prop_fast_solver_time: 0.
% 0.21/0.45 % prop_unsat_core_time: 0.
% 0.21/0.45
% 0.21/0.45 % ------ QBF
% 0.21/0.45
% 0.21/0.45 % qbf_q_res: 0
% 0.21/0.45 % qbf_num_tautologies: 0
% 0.21/0.45 % qbf_prep_cycles: 0
% 0.21/0.45
% 0.21/0.45 % ------ BMC1
% 0.21/0.45
% 0.21/0.45 % bmc1_current_bound: -1
% 0.21/0.45 % bmc1_last_solved_bound: -1
% 0.21/0.45 % bmc1_unsat_core_size: -1
% 0.21/0.45 % bmc1_unsat_core_parents_size: -1
% 0.21/0.45 % bmc1_merge_next_fun: 0
% 0.21/0.45 % bmc1_unsat_core_clauses_time: 0.
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation
% 0.21/0.45
% 0.21/0.45 % inst_num_of_clauses: undef
% 0.21/0.45 % inst_num_in_passive: undef
% 0.21/0.45 % inst_num_in_active: 0
% 0.21/0.45 % inst_num_in_unprocessed: 0
% 0.21/0.45 % inst_num_of_loops: 0
% 0.21/0.45 % inst_num_of_learning_restarts: 0
% 0.21/0.45 % inst_num_moves_active_passive: 0
% 0.21/0.45 % inst_lit_activity: 0
% 0.21/0.45 % inst_lit_activity_moves: 0
% 0.21/0.45 % inst_num_tautologies: 0
% 0.21/0.45 % inst_num_prop_implied: 0
% 0.21/0.45 % inst_num_existing_simplified: 0
% 0.21/0.45 % inst_num_eq_res_simplified: 0
% 0.21/0.45 % inst_num_child_elim: 0
% 0.21/0.45 % inst_num_of_dismatching_blockings: 0
% 0.21/0.45 % inst_num_of_non_proper_insts: 0
% 0.21/0.45 % inst_num_of_duplicates: 0
% 0.21/0.45 % inst_inst_num_from_inst_to_res: 0
% 0.21/0.45 % inst_dismatching_checking_time: 0.
% 0.21/0.45
% 0.21/0.45 % ------ Resolution
% 0.21/0.45
% 0.21/0.45 % res_num_of_clauses: undef
% 0.21/0.45 % res_num_in_passive: undef
% 0.21/0.45 % res_num_in_active: 0
% 0.21/0.45 % res_num_of_loops: 0
% 0.21/0.45 % res_forward_subset_subsumed: 0
% 0.21/0.45 % res_backward_subset_subsumed: 0
% 0.21/0.45 % res_forward_subsumed: 0
% 0.21/0.45 % res_backward_subsumed: 0
% 0.21/0.45 % res_forward_subsumption_resolution: 0
% 0.21/0.45 % res_backward_subsumption_resolution: 0
% 0.21/0.45 % res_clause_to_clause_subsumption: 0
% 0.21/0.45 % res_orphan_elimination: 0
% 0.21/0.45 % res_tautology_del: 0
% 0.21/0.45 % res_num_eq_res_simplified: 0
% 0.21/0.45 % res_num_sel_changes: 0
% 0.21/0.45 % res_moves_from_active_to_pass: 0
% 0.21/0.45
% 0.21/0.45 % Status Unsatisfiable
% 0.21/0.45 % SZS status Unsatisfiable
% 0.21/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------