TSTP Solution File: SYN099-1.003 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n021.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 07:23:18 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% 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(sym_m_t2_6,axiom,
~ sym_q_3_3(a),
input ).
fof(sym_m_t2_6_0,plain,
( ~ sym_q_3_3(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t2_6]) ).
cnf(sym_m_t2_5,axiom,
~ sym_p_3_3(a),
input ).
fof(sym_m_t2_5_0,plain,
( ~ sym_p_3_3(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t2_5]) ).
cnf(sym_m_t2_4,axiom,
~ sym_q_2_2(a),
input ).
fof(sym_m_t2_4_0,plain,
( ~ sym_q_2_2(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t2_4]) ).
cnf(sym_m_t2_3,axiom,
~ sym_p_2_2(a),
input ).
fof(sym_m_t2_3_0,plain,
( ~ sym_p_2_2(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t2_3]) ).
cnf(sym_m_t2_2,axiom,
~ sym_q_1_1(a),
input ).
fof(sym_m_t2_2_0,plain,
( ~ sym_q_1_1(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t2_2]) ).
cnf(sym_m_t2_1,axiom,
~ sym_p_1_1(a),
input ).
fof(sym_m_t2_1_0,plain,
( ~ sym_p_1_1(a)
| $false ),
inference(orientation,[status(thm)],[sym_m_t2_1]) ).
cnf(sym_m_s2_goal_1,axiom,
sym_p_1_3(X),
input ).
fof(sym_m_s2_goal_1_0,plain,
! [X] :
( sym_p_1_3(X)
| $false ),
inference(orientation,[status(thm)],[sym_m_s2_goal_1]) ).
cnf(m_t2_6,axiom,
q_3_3(a),
input ).
fof(m_t2_6_0,plain,
( q_3_3(a)
| $false ),
inference(orientation,[status(thm)],[m_t2_6]) ).
cnf(m_t2_5,axiom,
p_3_3(a),
input ).
fof(m_t2_5_0,plain,
( p_3_3(a)
| $false ),
inference(orientation,[status(thm)],[m_t2_5]) ).
cnf(m_t2_4,axiom,
q_2_2(a),
input ).
fof(m_t2_4_0,plain,
( q_2_2(a)
| $false ),
inference(orientation,[status(thm)],[m_t2_4]) ).
cnf(m_t2_3,axiom,
p_2_2(a),
input ).
fof(m_t2_3_0,plain,
( p_2_2(a)
| $false ),
inference(orientation,[status(thm)],[m_t2_3]) ).
cnf(m_t2_2,axiom,
q_1_1(a),
input ).
fof(m_t2_2_0,plain,
( q_1_1(a)
| $false ),
inference(orientation,[status(thm)],[m_t2_2]) ).
cnf(m_t2_1,axiom,
p_1_1(a),
input ).
fof(m_t2_1_0,plain,
( p_1_1(a)
| $false ),
inference(orientation,[status(thm)],[m_t2_1]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> p_1_1(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[m_t2_1_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> q_1_1(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[m_t2_2_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> p_2_2(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[m_t2_3_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> q_2_2(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[m_t2_4_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> p_3_3(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[m_t2_5_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> q_3_3(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[m_t2_6_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [X] :
( lhs_atom7(X)
<=> sym_p_1_3(X) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [X] :
( lhs_atom7(X)
| $false ),
inference(fold_definition,[status(thm)],[sym_m_s2_goal_1_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> ~ sym_p_1_1(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t2_1_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> ~ sym_q_1_1(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t2_2_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> ~ sym_p_2_2(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t2_3_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> ~ sym_q_2_2(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t2_4_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
( lhs_atom12
<=> ~ sym_p_3_3(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t2_5_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
( lhs_atom13
<=> ~ sym_q_3_3(a) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
( lhs_atom13
| $false ),
inference(fold_definition,[status(thm)],[sym_m_t2_6_0,def_lhs_atom13]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom7(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_1,axiom,
( lhs_atom13
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_2,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_3,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_4,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_5,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_6,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_7,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_8,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_9,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_10,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_11,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_12,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_13,plain,
! [X1] : lhs_atom7(X1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_14,plain,
lhs_atom13,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_15,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_16,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_17,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_18,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_19,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_20,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_21,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_22,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_23,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_24,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_25,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_26,plain,
! [X2] : lhs_atom7(X2),
inference(variable_rename,[status(thm)],[c_0_13]) ).
fof(c_0_27,plain,
lhs_atom13,
c_0_14 ).
fof(c_0_28,plain,
lhs_atom12,
c_0_15 ).
fof(c_0_29,plain,
lhs_atom11,
c_0_16 ).
fof(c_0_30,plain,
lhs_atom10,
c_0_17 ).
fof(c_0_31,plain,
lhs_atom9,
c_0_18 ).
fof(c_0_32,plain,
lhs_atom8,
c_0_19 ).
fof(c_0_33,plain,
lhs_atom6,
c_0_20 ).
fof(c_0_34,plain,
lhs_atom5,
c_0_21 ).
fof(c_0_35,plain,
lhs_atom4,
c_0_22 ).
fof(c_0_36,plain,
lhs_atom3,
c_0_23 ).
fof(c_0_37,plain,
lhs_atom2,
c_0_24 ).
fof(c_0_38,plain,
lhs_atom1,
c_0_25 ).
cnf(c_0_39,plain,
lhs_atom7(X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40,plain,
lhs_atom13,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_48,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,plain,
lhs_atom7(X1),
c_0_39,
[final] ).
cnf(c_0_53,plain,
lhs_atom13,
c_0_40,
[final] ).
cnf(c_0_54,plain,
lhs_atom12,
c_0_41,
[final] ).
cnf(c_0_55,plain,
lhs_atom11,
c_0_42,
[final] ).
cnf(c_0_56,plain,
lhs_atom10,
c_0_43,
[final] ).
cnf(c_0_57,plain,
lhs_atom9,
c_0_44,
[final] ).
cnf(c_0_58,plain,
lhs_atom8,
c_0_45,
[final] ).
cnf(c_0_59,plain,
lhs_atom6,
c_0_46,
[final] ).
cnf(c_0_60,plain,
lhs_atom5,
c_0_47,
[final] ).
cnf(c_0_61,plain,
lhs_atom4,
c_0_48,
[final] ).
cnf(c_0_62,plain,
lhs_atom3,
c_0_49,
[final] ).
cnf(c_0_63,plain,
lhs_atom2,
c_0_50,
[final] ).
cnf(c_0_64,plain,
lhs_atom1,
c_0_51,
[final] ).
% End CNF derivation
cnf(c_0_52_0,axiom,
sym_p_1_3(X1),
inference(unfold_definition,[status(thm)],[c_0_52,def_lhs_atom7]) ).
cnf(c_0_53_0,axiom,
~ sym_q_3_3(a),
inference(unfold_definition,[status(thm)],[c_0_53,def_lhs_atom13]) ).
cnf(c_0_54_0,axiom,
~ sym_p_3_3(a),
inference(unfold_definition,[status(thm)],[c_0_54,def_lhs_atom12]) ).
cnf(c_0_55_0,axiom,
~ sym_q_2_2(a),
inference(unfold_definition,[status(thm)],[c_0_55,def_lhs_atom11]) ).
cnf(c_0_56_0,axiom,
~ sym_p_2_2(a),
inference(unfold_definition,[status(thm)],[c_0_56,def_lhs_atom10]) ).
cnf(c_0_57_0,axiom,
~ sym_q_1_1(a),
inference(unfold_definition,[status(thm)],[c_0_57,def_lhs_atom9]) ).
cnf(c_0_58_0,axiom,
~ sym_p_1_1(a),
inference(unfold_definition,[status(thm)],[c_0_58,def_lhs_atom8]) ).
cnf(c_0_59_0,axiom,
q_3_3(a),
inference(unfold_definition,[status(thm)],[c_0_59,def_lhs_atom6]) ).
cnf(c_0_60_0,axiom,
p_3_3(a),
inference(unfold_definition,[status(thm)],[c_0_60,def_lhs_atom5]) ).
cnf(c_0_61_0,axiom,
q_2_2(a),
inference(unfold_definition,[status(thm)],[c_0_61,def_lhs_atom4]) ).
cnf(c_0_62_0,axiom,
p_2_2(a),
inference(unfold_definition,[status(thm)],[c_0_62,def_lhs_atom3]) ).
cnf(c_0_63_0,axiom,
q_1_1(a),
inference(unfold_definition,[status(thm)],[c_0_63,def_lhs_atom2]) ).
cnf(c_0_64_0,axiom,
p_1_1(a),
inference(unfold_definition,[status(thm)],[c_0_64,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_1_2(X1)
| ~ p_2_2(X1)
| ~ p_1_1(X1) ),
file('<stdin>',m_s2_type11_1) ).
fof(c_0_1_002,axiom,
! [X1] :
( p_1_2(X1)
| ~ q_2_2(X1)
| ~ q_1_1(X1) ),
file('<stdin>',m_s2_type11_2) ).
fof(c_0_2_003,axiom,
! [X1] :
( p_1_3(X1)
| ~ p_2_3(X1)
| ~ p_1_2(X1) ),
file('<stdin>',m_s2_type11_3) ).
fof(c_0_3_004,axiom,
! [X1] :
( p_1_3(X1)
| ~ q_2_3(X1)
| ~ q_1_2(X1) ),
file('<stdin>',m_s2_type11_4) ).
fof(c_0_4_005,axiom,
! [X1] :
( p_2_3(X1)
| ~ p_3_3(X1)
| ~ p_2_2(X1) ),
file('<stdin>',m_s2_type11_5) ).
fof(c_0_5_006,axiom,
! [X1] :
( p_2_3(X1)
| ~ q_3_3(X1)
| ~ q_2_2(X1) ),
file('<stdin>',m_s2_type11_6) ).
fof(c_0_6_007,axiom,
! [X1] :
( q_1_2(X1)
| ~ p_2_2(X1)
| ~ q_1_1(X1) ),
file('<stdin>',m_s2_type12_1) ).
fof(c_0_7_008,axiom,
! [X1] :
( q_1_2(X1)
| ~ q_2_2(X1)
| ~ p_1_1(X1) ),
file('<stdin>',m_s2_type12_2) ).
fof(c_0_8_009,axiom,
! [X1] :
( q_1_3(X1)
| ~ p_2_3(X1)
| ~ q_1_2(X1) ),
file('<stdin>',m_s2_type12_3) ).
fof(c_0_9_010,axiom,
! [X1] :
( q_1_3(X1)
| ~ q_2_3(X1)
| ~ p_1_2(X1) ),
file('<stdin>',m_s2_type12_4) ).
fof(c_0_10_011,axiom,
! [X1] :
( q_2_3(X1)
| ~ p_3_3(X1)
| ~ q_2_2(X1) ),
file('<stdin>',m_s2_type12_5) ).
fof(c_0_11_012,axiom,
! [X1] :
( q_2_3(X1)
| ~ q_3_3(X1)
| ~ p_2_2(X1) ),
file('<stdin>',m_s2_type12_6) ).
fof(c_0_12_013,axiom,
! [X1] :
( ~ sym_p_1_2(X1)
| sym_p_2_2(X1)
| sym_p_1_1(X1) ),
file('<stdin>',sym_m_s2_type11_1) ).
fof(c_0_13_014,axiom,
! [X1] :
( ~ sym_p_1_2(X1)
| sym_q_2_2(X1)
| sym_q_1_1(X1) ),
file('<stdin>',sym_m_s2_type11_2) ).
fof(c_0_14_015,axiom,
! [X1] :
( ~ sym_p_1_3(X1)
| sym_p_2_3(X1)
| sym_p_1_2(X1) ),
file('<stdin>',sym_m_s2_type11_3) ).
fof(c_0_15_016,axiom,
! [X1] :
( ~ sym_p_1_3(X1)
| sym_q_2_3(X1)
| sym_q_1_2(X1) ),
file('<stdin>',sym_m_s2_type11_4) ).
fof(c_0_16_017,axiom,
! [X1] :
( ~ sym_p_2_3(X1)
| sym_p_3_3(X1)
| sym_p_2_2(X1) ),
file('<stdin>',sym_m_s2_type11_5) ).
fof(c_0_17_018,axiom,
! [X1] :
( ~ sym_p_2_3(X1)
| sym_q_3_3(X1)
| sym_q_2_2(X1) ),
file('<stdin>',sym_m_s2_type11_6) ).
fof(c_0_18_019,axiom,
! [X1] :
( ~ sym_q_1_2(X1)
| sym_p_2_2(X1)
| sym_q_1_1(X1) ),
file('<stdin>',sym_m_s2_type12_1) ).
fof(c_0_19_020,axiom,
! [X1] :
( ~ sym_q_1_2(X1)
| sym_q_2_2(X1)
| sym_p_1_1(X1) ),
file('<stdin>',sym_m_s2_type12_2) ).
fof(c_0_20_021,axiom,
! [X1] :
( ~ sym_q_1_3(X1)
| sym_p_2_3(X1)
| sym_q_1_2(X1) ),
file('<stdin>',sym_m_s2_type12_3) ).
fof(c_0_21_022,axiom,
! [X1] :
( ~ sym_q_1_3(X1)
| sym_q_2_3(X1)
| sym_p_1_2(X1) ),
file('<stdin>',sym_m_s2_type12_4) ).
fof(c_0_22_023,axiom,
! [X1] :
( ~ sym_q_2_3(X1)
| sym_p_3_3(X1)
| sym_q_2_2(X1) ),
file('<stdin>',sym_m_s2_type12_5) ).
fof(c_0_23_024,axiom,
! [X1] :
( ~ sym_q_2_3(X1)
| sym_q_3_3(X1)
| sym_p_2_2(X1) ),
file('<stdin>',sym_m_s2_type12_6) ).
fof(c_0_24_025,axiom,
! [X1] :
( p_1_1(X1)
| ~ p_1_2(X1) ),
file('<stdin>',m_s2_type21_1) ).
fof(c_0_25_026,axiom,
! [X1] :
( q_1_1(X1)
| ~ q_1_2(X1) ),
file('<stdin>',m_s2_type21_2) ).
fof(c_0_26_027,axiom,
! [X1] :
( p_2_2(X1)
| ~ p_1_2(X1) ),
file('<stdin>',m_s2_type22_1) ).
fof(c_0_27_028,axiom,
! [X1] :
( p_3_3(X1)
| ~ p_2_3(X1) ),
file('<stdin>',m_s2_type22_2) ).
fof(c_0_28_029,axiom,
! [X1] :
( q_2_2(X1)
| ~ q_1_2(X1) ),
file('<stdin>',m_s2_type22_3) ).
fof(c_0_29_030,axiom,
! [X1] :
( q_3_3(X1)
| ~ q_2_3(X1) ),
file('<stdin>',m_s2_type22_4) ).
fof(c_0_30_031,axiom,
! [X1] :
( ~ sym_p_1_1(X1)
| sym_p_1_2(X1) ),
file('<stdin>',sym_m_s2_type21_1) ).
fof(c_0_31_032,axiom,
! [X1] :
( ~ sym_q_1_1(X1)
| sym_q_1_2(X1) ),
file('<stdin>',sym_m_s2_type21_2) ).
fof(c_0_32_033,axiom,
! [X1] :
( ~ sym_p_2_2(X1)
| sym_p_1_2(X1) ),
file('<stdin>',sym_m_s2_type22_1) ).
fof(c_0_33_034,axiom,
! [X1] :
( ~ sym_p_3_3(X1)
| sym_p_2_3(X1) ),
file('<stdin>',sym_m_s2_type22_2) ).
fof(c_0_34_035,axiom,
! [X1] :
( ~ sym_q_2_2(X1)
| sym_q_1_2(X1) ),
file('<stdin>',sym_m_s2_type22_3) ).
fof(c_0_35_036,axiom,
! [X1] :
( ~ sym_q_3_3(X1)
| sym_q_2_3(X1) ),
file('<stdin>',sym_m_s2_type22_4) ).
fof(c_0_36_037,plain,
! [X1] :
( p_1_2(X1)
| ~ p_2_2(X1)
| ~ p_1_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_37_038,plain,
! [X1] :
( p_1_2(X1)
| ~ q_2_2(X1)
| ~ q_1_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_38_039,plain,
! [X1] :
( p_1_3(X1)
| ~ p_2_3(X1)
| ~ p_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_39_040,plain,
! [X1] :
( p_1_3(X1)
| ~ q_2_3(X1)
| ~ q_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_40_041,plain,
! [X1] :
( p_2_3(X1)
| ~ p_3_3(X1)
| ~ p_2_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_41_042,plain,
! [X1] :
( p_2_3(X1)
| ~ q_3_3(X1)
| ~ q_2_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_42_043,plain,
! [X1] :
( q_1_2(X1)
| ~ p_2_2(X1)
| ~ q_1_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_43_044,plain,
! [X1] :
( q_1_2(X1)
| ~ q_2_2(X1)
| ~ p_1_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_44_045,plain,
! [X1] :
( q_1_3(X1)
| ~ p_2_3(X1)
| ~ q_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_45_046,plain,
! [X1] :
( q_1_3(X1)
| ~ q_2_3(X1)
| ~ p_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_46_047,plain,
! [X1] :
( q_2_3(X1)
| ~ p_3_3(X1)
| ~ q_2_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_47_048,plain,
! [X1] :
( q_2_3(X1)
| ~ q_3_3(X1)
| ~ p_2_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_48_049,plain,
! [X1] :
( ~ sym_p_1_2(X1)
| sym_p_2_2(X1)
| sym_p_1_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_49_050,plain,
! [X1] :
( ~ sym_p_1_2(X1)
| sym_q_2_2(X1)
| sym_q_1_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_50_051,plain,
! [X1] :
( ~ sym_p_1_3(X1)
| sym_p_2_3(X1)
| sym_p_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_51_052,plain,
! [X1] :
( ~ sym_p_1_3(X1)
| sym_q_2_3(X1)
| sym_q_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_52_053,plain,
! [X1] :
( ~ sym_p_2_3(X1)
| sym_p_3_3(X1)
| sym_p_2_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_53_054,plain,
! [X1] :
( ~ sym_p_2_3(X1)
| sym_q_3_3(X1)
| sym_q_2_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_54_055,plain,
! [X1] :
( ~ sym_q_1_2(X1)
| sym_p_2_2(X1)
| sym_q_1_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_55_056,plain,
! [X1] :
( ~ sym_q_1_2(X1)
| sym_q_2_2(X1)
| sym_p_1_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_56_057,plain,
! [X1] :
( ~ sym_q_1_3(X1)
| sym_p_2_3(X1)
| sym_q_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_57_058,plain,
! [X1] :
( ~ sym_q_1_3(X1)
| sym_q_2_3(X1)
| sym_p_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_58_059,plain,
! [X1] :
( ~ sym_q_2_3(X1)
| sym_p_3_3(X1)
| sym_q_2_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_59_060,plain,
! [X1] :
( ~ sym_q_2_3(X1)
| sym_q_3_3(X1)
| sym_p_2_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_60_061,plain,
! [X1] :
( p_1_1(X1)
| ~ p_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_61_062,plain,
! [X1] :
( q_1_1(X1)
| ~ q_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_62_063,plain,
! [X1] :
( p_2_2(X1)
| ~ p_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_63_064,plain,
! [X1] :
( p_3_3(X1)
| ~ p_2_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_64_065,plain,
! [X1] :
( q_2_2(X1)
| ~ q_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_65,plain,
! [X1] :
( q_3_3(X1)
| ~ q_2_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_66,plain,
! [X1] :
( ~ sym_p_1_1(X1)
| sym_p_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_67,plain,
! [X1] :
( ~ sym_q_1_1(X1)
| sym_q_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_68,plain,
! [X1] :
( ~ sym_p_2_2(X1)
| sym_p_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_69,plain,
! [X1] :
( ~ sym_p_3_3(X1)
| sym_p_2_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_70,plain,
! [X1] :
( ~ sym_q_2_2(X1)
| sym_q_1_2(X1) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_71,plain,
! [X1] :
( ~ sym_q_3_3(X1)
| sym_q_2_3(X1) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_72,plain,
! [X2] :
( p_1_2(X2)
| ~ p_2_2(X2)
| ~ p_1_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_73,plain,
! [X2] :
( p_1_2(X2)
| ~ q_2_2(X2)
| ~ q_1_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_74,plain,
! [X2] :
( p_1_3(X2)
| ~ p_2_3(X2)
| ~ p_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_75,plain,
! [X2] :
( p_1_3(X2)
| ~ q_2_3(X2)
| ~ q_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_76,plain,
! [X2] :
( p_2_3(X2)
| ~ p_3_3(X2)
| ~ p_2_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_77,plain,
! [X2] :
( p_2_3(X2)
| ~ q_3_3(X2)
| ~ q_2_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_78,plain,
! [X2] :
( q_1_2(X2)
| ~ p_2_2(X2)
| ~ q_1_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_79,plain,
! [X2] :
( q_1_2(X2)
| ~ q_2_2(X2)
| ~ p_1_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_80,plain,
! [X2] :
( q_1_3(X2)
| ~ p_2_3(X2)
| ~ q_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_81,plain,
! [X2] :
( q_1_3(X2)
| ~ q_2_3(X2)
| ~ p_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
fof(c_0_82,plain,
! [X2] :
( q_2_3(X2)
| ~ p_3_3(X2)
| ~ q_2_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_83,plain,
! [X2] :
( q_2_3(X2)
| ~ q_3_3(X2)
| ~ p_2_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_84,plain,
! [X2] :
( ~ sym_p_1_2(X2)
| sym_p_2_2(X2)
| sym_p_1_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_85,plain,
! [X2] :
( ~ sym_p_1_2(X2)
| sym_q_2_2(X2)
| sym_q_1_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_86,plain,
! [X2] :
( ~ sym_p_1_3(X2)
| sym_p_2_3(X2)
| sym_p_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_87,plain,
! [X2] :
( ~ sym_p_1_3(X2)
| sym_q_2_3(X2)
| sym_q_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_88,plain,
! [X2] :
( ~ sym_p_2_3(X2)
| sym_p_3_3(X2)
| sym_p_2_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_89,plain,
! [X2] :
( ~ sym_p_2_3(X2)
| sym_q_3_3(X2)
| sym_q_2_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_90,plain,
! [X2] :
( ~ sym_q_1_2(X2)
| sym_p_2_2(X2)
| sym_q_1_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_91,plain,
! [X2] :
( ~ sym_q_1_2(X2)
| sym_q_2_2(X2)
| sym_p_1_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_92,plain,
! [X2] :
( ~ sym_q_1_3(X2)
| sym_p_2_3(X2)
| sym_q_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_93,plain,
! [X2] :
( ~ sym_q_1_3(X2)
| sym_q_2_3(X2)
| sym_p_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_94,plain,
! [X2] :
( ~ sym_q_2_3(X2)
| sym_p_3_3(X2)
| sym_q_2_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_95,plain,
! [X2] :
( ~ sym_q_2_3(X2)
| sym_q_3_3(X2)
| sym_p_2_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_96,plain,
! [X2] :
( p_1_1(X2)
| ~ p_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_60]) ).
fof(c_0_97,plain,
! [X2] :
( q_1_1(X2)
| ~ q_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_61]) ).
fof(c_0_98,plain,
! [X2] :
( p_2_2(X2)
| ~ p_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_99,plain,
! [X2] :
( p_3_3(X2)
| ~ p_2_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_100,plain,
! [X2] :
( q_2_2(X2)
| ~ q_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_101,plain,
! [X2] :
( q_3_3(X2)
| ~ q_2_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
fof(c_0_102,plain,
! [X2] :
( ~ sym_p_1_1(X2)
| sym_p_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_103,plain,
! [X2] :
( ~ sym_q_1_1(X2)
| sym_q_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_104,plain,
! [X2] :
( ~ sym_p_2_2(X2)
| sym_p_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_68]) ).
fof(c_0_105,plain,
! [X2] :
( ~ sym_p_3_3(X2)
| sym_p_2_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_69]) ).
fof(c_0_106,plain,
! [X2] :
( ~ sym_q_2_2(X2)
| sym_q_1_2(X2) ),
inference(variable_rename,[status(thm)],[c_0_70]) ).
fof(c_0_107,plain,
! [X2] :
( ~ sym_q_3_3(X2)
| sym_q_2_3(X2) ),
inference(variable_rename,[status(thm)],[c_0_71]) ).
cnf(c_0_108,plain,
( p_1_2(X1)
| ~ p_1_1(X1)
| ~ p_2_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_109,plain,
( p_1_2(X1)
| ~ q_1_1(X1)
| ~ q_2_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_110,plain,
( p_1_3(X1)
| ~ p_1_2(X1)
| ~ p_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_111,plain,
( p_1_3(X1)
| ~ q_1_2(X1)
| ~ q_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_112,plain,
( p_2_3(X1)
| ~ p_2_2(X1)
| ~ p_3_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_113,plain,
( p_2_3(X1)
| ~ q_2_2(X1)
| ~ q_3_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_114,plain,
( q_1_2(X1)
| ~ q_1_1(X1)
| ~ p_2_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_115,plain,
( q_1_2(X1)
| ~ p_1_1(X1)
| ~ q_2_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_116,plain,
( q_1_3(X1)
| ~ q_1_2(X1)
| ~ p_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_117,plain,
( q_1_3(X1)
| ~ p_1_2(X1)
| ~ q_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_118,plain,
( q_2_3(X1)
| ~ q_2_2(X1)
| ~ p_3_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_119,plain,
( q_2_3(X1)
| ~ p_2_2(X1)
| ~ q_3_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_120,plain,
( sym_p_1_1(X1)
| sym_p_2_2(X1)
| ~ sym_p_1_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_121,plain,
( sym_q_1_1(X1)
| sym_q_2_2(X1)
| ~ sym_p_1_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_122,plain,
( sym_p_1_2(X1)
| sym_p_2_3(X1)
| ~ sym_p_1_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_123,plain,
( sym_q_1_2(X1)
| sym_q_2_3(X1)
| ~ sym_p_1_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_124,plain,
( sym_p_2_2(X1)
| sym_p_3_3(X1)
| ~ sym_p_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_125,plain,
( sym_q_2_2(X1)
| sym_q_3_3(X1)
| ~ sym_p_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_126,plain,
( sym_q_1_1(X1)
| sym_p_2_2(X1)
| ~ sym_q_1_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_127,plain,
( sym_p_1_1(X1)
| sym_q_2_2(X1)
| ~ sym_q_1_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_128,plain,
( sym_q_1_2(X1)
| sym_p_2_3(X1)
| ~ sym_q_1_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_129,plain,
( sym_p_1_2(X1)
| sym_q_2_3(X1)
| ~ sym_q_1_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_130,plain,
( sym_q_2_2(X1)
| sym_p_3_3(X1)
| ~ sym_q_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_131,plain,
( sym_p_2_2(X1)
| sym_q_3_3(X1)
| ~ sym_q_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_132,plain,
( p_1_1(X1)
| ~ p_1_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_133,plain,
( q_1_1(X1)
| ~ q_1_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_134,plain,
( p_2_2(X1)
| ~ p_1_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_135,plain,
( p_3_3(X1)
| ~ p_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_136,plain,
( q_2_2(X1)
| ~ q_1_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_137,plain,
( q_3_3(X1)
| ~ q_2_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_138,plain,
( sym_p_1_2(X1)
| ~ sym_p_1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_139,plain,
( sym_q_1_2(X1)
| ~ sym_q_1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_140,plain,
( sym_p_1_2(X1)
| ~ sym_p_2_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_141,plain,
( sym_p_2_3(X1)
| ~ sym_p_3_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_142,plain,
( sym_q_1_2(X1)
| ~ sym_q_2_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_143,plain,
( sym_q_2_3(X1)
| ~ sym_q_3_3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_144,plain,
( p_1_2(X1)
| ~ p_1_1(X1)
| ~ p_2_2(X1) ),
c_0_108,
[final] ).
cnf(c_0_145,plain,
( p_1_2(X1)
| ~ q_1_1(X1)
| ~ q_2_2(X1) ),
c_0_109,
[final] ).
cnf(c_0_146,plain,
( p_1_3(X1)
| ~ p_1_2(X1)
| ~ p_2_3(X1) ),
c_0_110,
[final] ).
cnf(c_0_147,plain,
( p_1_3(X1)
| ~ q_1_2(X1)
| ~ q_2_3(X1) ),
c_0_111,
[final] ).
cnf(c_0_148,plain,
( p_2_3(X1)
| ~ p_2_2(X1)
| ~ p_3_3(X1) ),
c_0_112,
[final] ).
cnf(c_0_149,plain,
( p_2_3(X1)
| ~ q_2_2(X1)
| ~ q_3_3(X1) ),
c_0_113,
[final] ).
cnf(c_0_150,plain,
( q_1_2(X1)
| ~ q_1_1(X1)
| ~ p_2_2(X1) ),
c_0_114,
[final] ).
cnf(c_0_151,plain,
( q_1_2(X1)
| ~ p_1_1(X1)
| ~ q_2_2(X1) ),
c_0_115,
[final] ).
cnf(c_0_152,plain,
( q_1_3(X1)
| ~ q_1_2(X1)
| ~ p_2_3(X1) ),
c_0_116,
[final] ).
cnf(c_0_153,plain,
( q_1_3(X1)
| ~ p_1_2(X1)
| ~ q_2_3(X1) ),
c_0_117,
[final] ).
cnf(c_0_154,plain,
( q_2_3(X1)
| ~ q_2_2(X1)
| ~ p_3_3(X1) ),
c_0_118,
[final] ).
cnf(c_0_155,plain,
( q_2_3(X1)
| ~ p_2_2(X1)
| ~ q_3_3(X1) ),
c_0_119,
[final] ).
cnf(c_0_156,plain,
( sym_p_1_1(X1)
| sym_p_2_2(X1)
| ~ sym_p_1_2(X1) ),
c_0_120,
[final] ).
cnf(c_0_157,plain,
( sym_q_1_1(X1)
| sym_q_2_2(X1)
| ~ sym_p_1_2(X1) ),
c_0_121,
[final] ).
cnf(c_0_158,plain,
( sym_p_1_2(X1)
| sym_p_2_3(X1)
| ~ sym_p_1_3(X1) ),
c_0_122,
[final] ).
cnf(c_0_159,plain,
( sym_q_1_2(X1)
| sym_q_2_3(X1)
| ~ sym_p_1_3(X1) ),
c_0_123,
[final] ).
cnf(c_0_160,plain,
( sym_p_2_2(X1)
| sym_p_3_3(X1)
| ~ sym_p_2_3(X1) ),
c_0_124,
[final] ).
cnf(c_0_161,plain,
( sym_q_2_2(X1)
| sym_q_3_3(X1)
| ~ sym_p_2_3(X1) ),
c_0_125,
[final] ).
cnf(c_0_162,plain,
( sym_q_1_1(X1)
| sym_p_2_2(X1)
| ~ sym_q_1_2(X1) ),
c_0_126,
[final] ).
cnf(c_0_163,plain,
( sym_p_1_1(X1)
| sym_q_2_2(X1)
| ~ sym_q_1_2(X1) ),
c_0_127,
[final] ).
cnf(c_0_164,plain,
( sym_q_1_2(X1)
| sym_p_2_3(X1)
| ~ sym_q_1_3(X1) ),
c_0_128,
[final] ).
cnf(c_0_165,plain,
( sym_p_1_2(X1)
| sym_q_2_3(X1)
| ~ sym_q_1_3(X1) ),
c_0_129,
[final] ).
cnf(c_0_166,plain,
( sym_q_2_2(X1)
| sym_p_3_3(X1)
| ~ sym_q_2_3(X1) ),
c_0_130,
[final] ).
cnf(c_0_167,plain,
( sym_p_2_2(X1)
| sym_q_3_3(X1)
| ~ sym_q_2_3(X1) ),
c_0_131,
[final] ).
cnf(c_0_168,plain,
( p_1_1(X1)
| ~ p_1_2(X1) ),
c_0_132,
[final] ).
cnf(c_0_169,plain,
( q_1_1(X1)
| ~ q_1_2(X1) ),
c_0_133,
[final] ).
cnf(c_0_170,plain,
( p_2_2(X1)
| ~ p_1_2(X1) ),
c_0_134,
[final] ).
cnf(c_0_171,plain,
( p_3_3(X1)
| ~ p_2_3(X1) ),
c_0_135,
[final] ).
cnf(c_0_172,plain,
( q_2_2(X1)
| ~ q_1_2(X1) ),
c_0_136,
[final] ).
cnf(c_0_173,plain,
( q_3_3(X1)
| ~ q_2_3(X1) ),
c_0_137,
[final] ).
cnf(c_0_174,plain,
( sym_p_1_2(X1)
| ~ sym_p_1_1(X1) ),
c_0_138,
[final] ).
cnf(c_0_175,plain,
( sym_q_1_2(X1)
| ~ sym_q_1_1(X1) ),
c_0_139,
[final] ).
cnf(c_0_176,plain,
( sym_p_1_2(X1)
| ~ sym_p_2_2(X1) ),
c_0_140,
[final] ).
cnf(c_0_177,plain,
( sym_p_2_3(X1)
| ~ sym_p_3_3(X1) ),
c_0_141,
[final] ).
cnf(c_0_178,plain,
( sym_q_1_2(X1)
| ~ sym_q_2_2(X1) ),
c_0_142,
[final] ).
cnf(c_0_179,plain,
( sym_q_2_3(X1)
| ~ sym_q_3_3(X1) ),
c_0_143,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_144_0,axiom,
( p_1_2(X1)
| ~ p_1_1(X1)
| ~ p_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_1,axiom,
( ~ p_1_1(X1)
| p_1_2(X1)
| ~ p_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( ~ p_2_2(X1)
| ~ p_1_1(X1)
| p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( p_1_2(X1)
| ~ q_1_1(X1)
| ~ q_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_1,axiom,
( ~ q_1_1(X1)
| p_1_2(X1)
| ~ q_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_2,axiom,
( ~ q_2_2(X1)
| ~ q_1_1(X1)
| p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
( p_1_3(X1)
| ~ p_1_2(X1)
| ~ p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_1,axiom,
( ~ p_1_2(X1)
| p_1_3(X1)
| ~ p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_2,axiom,
( ~ p_2_3(X1)
| ~ p_1_2(X1)
| p_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
( p_1_3(X1)
| ~ q_1_2(X1)
| ~ q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_1,axiom,
( ~ q_1_2(X1)
| p_1_3(X1)
| ~ q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_2,axiom,
( ~ q_2_3(X1)
| ~ q_1_2(X1)
| p_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_0,axiom,
( p_2_3(X1)
| ~ p_2_2(X1)
| ~ p_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_1,axiom,
( ~ p_2_2(X1)
| p_2_3(X1)
| ~ p_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_2,axiom,
( ~ p_3_3(X1)
| ~ p_2_2(X1)
| p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
( p_2_3(X1)
| ~ q_2_2(X1)
| ~ q_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_1,axiom,
( ~ q_2_2(X1)
| p_2_3(X1)
| ~ q_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_2,axiom,
( ~ q_3_3(X1)
| ~ q_2_2(X1)
| p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
( q_1_2(X1)
| ~ q_1_1(X1)
| ~ p_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_1,axiom,
( ~ q_1_1(X1)
| q_1_2(X1)
| ~ p_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_2,axiom,
( ~ p_2_2(X1)
| ~ q_1_1(X1)
| q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,axiom,
( q_1_2(X1)
| ~ p_1_1(X1)
| ~ q_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_1,axiom,
( ~ p_1_1(X1)
| q_1_2(X1)
| ~ q_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_2,axiom,
( ~ q_2_2(X1)
| ~ p_1_1(X1)
| q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_0,axiom,
( q_1_3(X1)
| ~ q_1_2(X1)
| ~ p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_1,axiom,
( ~ q_1_2(X1)
| q_1_3(X1)
| ~ p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_2,axiom,
( ~ p_2_3(X1)
| ~ q_1_2(X1)
| q_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_0,axiom,
( q_1_3(X1)
| ~ p_1_2(X1)
| ~ q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_1,axiom,
( ~ p_1_2(X1)
| q_1_3(X1)
| ~ q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_2,axiom,
( ~ q_2_3(X1)
| ~ p_1_2(X1)
| q_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
( q_2_3(X1)
| ~ q_2_2(X1)
| ~ p_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_1,axiom,
( ~ q_2_2(X1)
| q_2_3(X1)
| ~ p_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_2,axiom,
( ~ p_3_3(X1)
| ~ q_2_2(X1)
| q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_0,axiom,
( q_2_3(X1)
| ~ p_2_2(X1)
| ~ q_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_1,axiom,
( ~ p_2_2(X1)
| q_2_3(X1)
| ~ q_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_2,axiom,
( ~ q_3_3(X1)
| ~ p_2_2(X1)
| q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_156_0,axiom,
( sym_p_1_1(X1)
| sym_p_2_2(X1)
| ~ sym_p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_1,axiom,
( sym_p_2_2(X1)
| sym_p_1_1(X1)
| ~ sym_p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_2,axiom,
( ~ sym_p_1_2(X1)
| sym_p_2_2(X1)
| sym_p_1_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_157_0,axiom,
( sym_q_1_1(X1)
| sym_q_2_2(X1)
| ~ sym_p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_1,axiom,
( sym_q_2_2(X1)
| sym_q_1_1(X1)
| ~ sym_p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_2,axiom,
( ~ sym_p_1_2(X1)
| sym_q_2_2(X1)
| sym_q_1_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_0,axiom,
( sym_p_1_2(X1)
| sym_p_2_3(X1)
| ~ sym_p_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_1,axiom,
( sym_p_2_3(X1)
| sym_p_1_2(X1)
| ~ sym_p_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_2,axiom,
( ~ sym_p_1_3(X1)
| sym_p_2_3(X1)
| sym_p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_0,axiom,
( sym_q_1_2(X1)
| sym_q_2_3(X1)
| ~ sym_p_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_1,axiom,
( sym_q_2_3(X1)
| sym_q_1_2(X1)
| ~ sym_p_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_2,axiom,
( ~ sym_p_1_3(X1)
| sym_q_2_3(X1)
| sym_q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
( sym_p_2_2(X1)
| sym_p_3_3(X1)
| ~ sym_p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_1,axiom,
( sym_p_3_3(X1)
| sym_p_2_2(X1)
| ~ sym_p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_2,axiom,
( ~ sym_p_2_3(X1)
| sym_p_3_3(X1)
| sym_p_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( sym_q_2_2(X1)
| sym_q_3_3(X1)
| ~ sym_p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_1,axiom,
( sym_q_3_3(X1)
| sym_q_2_2(X1)
| ~ sym_p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_2,axiom,
( ~ sym_p_2_3(X1)
| sym_q_3_3(X1)
| sym_q_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
( sym_q_1_1(X1)
| sym_p_2_2(X1)
| ~ sym_q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_1,axiom,
( sym_p_2_2(X1)
| sym_q_1_1(X1)
| ~ sym_q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_2,axiom,
( ~ sym_q_1_2(X1)
| sym_p_2_2(X1)
| sym_q_1_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
( sym_p_1_1(X1)
| sym_q_2_2(X1)
| ~ sym_q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( sym_q_2_2(X1)
| sym_p_1_1(X1)
| ~ sym_q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_2,axiom,
( ~ sym_q_1_2(X1)
| sym_q_2_2(X1)
| sym_p_1_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
( sym_q_1_2(X1)
| sym_p_2_3(X1)
| ~ sym_q_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_1,axiom,
( sym_p_2_3(X1)
| sym_q_1_2(X1)
| ~ sym_q_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_2,axiom,
( ~ sym_q_1_3(X1)
| sym_p_2_3(X1)
| sym_q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
( sym_p_1_2(X1)
| sym_q_2_3(X1)
| ~ sym_q_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( sym_q_2_3(X1)
| sym_p_1_2(X1)
| ~ sym_q_1_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_2,axiom,
( ~ sym_q_1_3(X1)
| sym_q_2_3(X1)
| sym_p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_0,axiom,
( sym_q_2_2(X1)
| sym_p_3_3(X1)
| ~ sym_q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_1,axiom,
( sym_p_3_3(X1)
| sym_q_2_2(X1)
| ~ sym_q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_2,axiom,
( ~ sym_q_2_3(X1)
| sym_p_3_3(X1)
| sym_q_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_0,axiom,
( sym_p_2_2(X1)
| sym_q_3_3(X1)
| ~ sym_q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( sym_q_3_3(X1)
| sym_p_2_2(X1)
| ~ sym_q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_2,axiom,
( ~ sym_q_2_3(X1)
| sym_q_3_3(X1)
| sym_p_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_168_0,axiom,
( p_1_1(X1)
| ~ p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_1,axiom,
( ~ p_1_2(X1)
| p_1_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_0,axiom,
( q_1_1(X1)
| ~ q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_1,axiom,
( ~ q_1_2(X1)
| q_1_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
( p_2_2(X1)
| ~ p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_1,axiom,
( ~ p_1_2(X1)
| p_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_171_0,axiom,
( p_3_3(X1)
| ~ p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_1,axiom,
( ~ p_2_3(X1)
| p_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_172_0,axiom,
( q_2_2(X1)
| ~ q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( ~ q_1_2(X1)
| q_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_173_0,axiom,
( q_3_3(X1)
| ~ q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( ~ q_2_3(X1)
| q_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_0,axiom,
( sym_p_1_2(X1)
| ~ sym_p_1_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( ~ sym_p_1_1(X1)
| sym_p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_175_0,axiom,
( sym_q_1_2(X1)
| ~ sym_q_1_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_1,axiom,
( ~ sym_q_1_1(X1)
| sym_q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_176_0,axiom,
( sym_p_1_2(X1)
| ~ sym_p_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_1,axiom,
( ~ sym_p_2_2(X1)
| sym_p_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_177_0,axiom,
( sym_p_2_3(X1)
| ~ sym_p_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_1,axiom,
( ~ sym_p_3_3(X1)
| sym_p_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_178_0,axiom,
( sym_q_1_2(X1)
| ~ sym_q_2_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_1,axiom,
( ~ sym_q_2_2(X1)
| sym_q_1_2(X1) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_179_0,axiom,
( sym_q_2_3(X1)
| ~ sym_q_3_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_1,axiom,
( ~ sym_q_3_3(X1)
| sym_q_2_3(X1) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_066,negated_conjecture,
! [X1] : ~ p_1_3(X1),
file('<stdin>',m_s2_goal_1) ).
fof(c_0_1_067,negated_conjecture,
! [X1] : ~ p_1_3(X1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_068,negated_conjecture,
! [X2] : ~ p_1_3(X2),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3_069,negated_conjecture,
~ p_1_3(X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_070,negated_conjecture,
~ p_1_3(X1),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_47,plain,
( sym_q_1_2(X0)
| sym_q_2_3(X0)
| ~ sym_p_1_3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p',c_0_159_2) ).
cnf(c_120,plain,
( ~ sym_p_1_3(a)
| sym_q_1_2(a)
| sym_q_2_3(a) ),
inference(instantiation,[status(thm)],[c_47]) ).
cnf(c_59,plain,
( sym_p_1_1(X0)
| sym_q_2_2(X0)
| ~ sym_q_1_2(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p',c_0_163_2) ).
cnf(c_116,plain,
( sym_p_1_1(a)
| sym_q_2_2(a)
| ~ sym_q_1_2(a) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_71,plain,
( sym_p_2_2(X0)
| sym_q_3_3(X0)
| ~ sym_q_2_3(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p',c_0_167_2) ).
cnf(c_112,plain,
( sym_p_2_2(a)
| ~ sym_q_2_3(a)
| sym_q_3_3(a) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_102,plain,
~ sym_p_1_1(a),
file('/export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p',c_0_58_0) ).
cnf(c_104,plain,
~ sym_p_2_2(a),
file('/export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p',c_0_56_0) ).
cnf(c_105,plain,
~ sym_q_2_2(a),
file('/export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p',c_0_55_0) ).
cnf(c_107,plain,
~ sym_q_3_3(a),
file('/export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p',c_0_53_0) ).
cnf(c_108,plain,
sym_p_1_3(X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p',c_0_52_0) ).
cnf(c_111,plain,
sym_p_1_3(a),
inference(instantiation,[status(thm)],[c_108]) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_120,c_116,c_112,c_102,c_104,c_105,c_107,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n021.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 22:21:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.18/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.18/0.40 % Orientation found
% 0.18/0.40 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b539c0.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_1a25c6.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_ecb7df | grep -v "SZS"
% 0.18/0.42
% 0.18/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.18/0.42
% 0.18/0.42 %
% 0.18/0.42 % ------ iProver source info
% 0.18/0.42
% 0.18/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.18/0.42 % git: non_committed_changes: true
% 0.18/0.42 % git: last_make_outside_of_git: true
% 0.18/0.42
% 0.18/0.42 %
% 0.18/0.42 % ------ Input Options
% 0.18/0.42
% 0.18/0.42 % --out_options all
% 0.18/0.42 % --tptp_safe_out true
% 0.18/0.42 % --problem_path ""
% 0.18/0.42 % --include_path ""
% 0.18/0.42 % --clausifier .//eprover
% 0.18/0.42 % --clausifier_options --tstp-format
% 0.18/0.42 % --stdin false
% 0.18/0.42 % --dbg_backtrace false
% 0.18/0.42 % --dbg_dump_prop_clauses false
% 0.18/0.42 % --dbg_dump_prop_clauses_file -
% 0.18/0.42 % --dbg_out_stat false
% 0.18/0.42
% 0.18/0.42 % ------ General Options
% 0.18/0.42
% 0.18/0.42 % --fof false
% 0.18/0.42 % --time_out_real 150.
% 0.18/0.42 % --time_out_prep_mult 0.2
% 0.18/0.42 % --time_out_virtual -1.
% 0.18/0.42 % --schedule none
% 0.18/0.42 % --ground_splitting input
% 0.18/0.42 % --splitting_nvd 16
% 0.18/0.42 % --non_eq_to_eq false
% 0.18/0.42 % --prep_gs_sim true
% 0.18/0.42 % --prep_unflatten false
% 0.18/0.42 % --prep_res_sim true
% 0.18/0.42 % --prep_upred true
% 0.18/0.42 % --res_sim_input true
% 0.18/0.42 % --clause_weak_htbl true
% 0.18/0.42 % --gc_record_bc_elim false
% 0.18/0.42 % --symbol_type_check false
% 0.18/0.42 % --clausify_out false
% 0.18/0.42 % --large_theory_mode false
% 0.18/0.42 % --prep_sem_filter none
% 0.18/0.42 % --prep_sem_filter_out false
% 0.18/0.42 % --preprocessed_out false
% 0.18/0.42 % --sub_typing false
% 0.18/0.42 % --brand_transform false
% 0.18/0.42 % --pure_diseq_elim true
% 0.18/0.42 % --min_unsat_core false
% 0.18/0.42 % --pred_elim true
% 0.18/0.42 % --add_important_lit false
% 0.18/0.42 % --soft_assumptions false
% 0.18/0.42 % --reset_solvers false
% 0.18/0.42 % --bc_imp_inh []
% 0.18/0.42 % --conj_cone_tolerance 1.5
% 0.18/0.42 % --prolific_symb_bound 500
% 0.18/0.42 % --lt_threshold 2000
% 0.18/0.42
% 0.18/0.42 % ------ SAT Options
% 0.18/0.42
% 0.18/0.42 % --sat_mode false
% 0.18/0.42 % --sat_fm_restart_options ""
% 0.18/0.42 % --sat_gr_def false
% 0.18/0.42 % --sat_epr_types true
% 0.18/0.42 % --sat_non_cyclic_types false
% 0.18/0.42 % --sat_finite_models false
% 0.18/0.42 % --sat_fm_lemmas false
% 0.18/0.42 % --sat_fm_prep false
% 0.18/0.42 % --sat_fm_uc_incr true
% 0.18/0.42 % --sat_out_model small
% 0.18/0.42 % --sat_out_clauses false
% 0.18/0.42
% 0.18/0.42 % ------ QBF Options
% 0.18/0.42
% 0.18/0.42 % --qbf_mode false
% 0.18/0.42 % --qbf_elim_univ true
% 0.18/0.42 % --qbf_sk_in true
% 0.18/0.42 % --qbf_pred_elim true
% 0.18/0.42 % --qbf_split 32
% 0.18/0.42
% 0.18/0.42 % ------ BMC1 Options
% 0.18/0.42
% 0.18/0.42 % --bmc1_incremental false
% 0.18/0.42 % --bmc1_axioms reachable_all
% 0.18/0.42 % --bmc1_min_bound 0
% 0.18/0.42 % --bmc1_max_bound -1
% 0.18/0.42 % --bmc1_max_bound_default -1
% 0.18/0.42 % --bmc1_symbol_reachability true
% 0.18/0.42 % --bmc1_property_lemmas false
% 0.18/0.42 % --bmc1_k_induction false
% 0.18/0.42 % --bmc1_non_equiv_states false
% 0.18/0.42 % --bmc1_deadlock false
% 0.18/0.42 % --bmc1_ucm false
% 0.18/0.42 % --bmc1_add_unsat_core none
% 0.18/0.42 % --bmc1_unsat_core_children false
% 0.18/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.18/0.42 % --bmc1_out_stat full
% 0.18/0.42 % --bmc1_ground_init false
% 0.18/0.42 % --bmc1_pre_inst_next_state false
% 0.18/0.42 % --bmc1_pre_inst_state false
% 0.18/0.42 % --bmc1_pre_inst_reach_state false
% 0.18/0.42 % --bmc1_out_unsat_core false
% 0.18/0.42 % --bmc1_aig_witness_out false
% 0.18/0.42 % --bmc1_verbose false
% 0.18/0.42 % --bmc1_dump_clauses_tptp false
% 0.18/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.18/0.43 % --bmc1_dump_file -
% 0.18/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.18/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.18/0.43 % --bmc1_ucm_extend_mode 1
% 0.18/0.43 % --bmc1_ucm_init_mode 2
% 0.18/0.43 % --bmc1_ucm_cone_mode none
% 0.18/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.18/0.43 % --bmc1_ucm_relax_model 4
% 0.18/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.18/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.18/0.43 % --bmc1_ucm_layered_model none
% 0.18/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.18/0.43
% 0.18/0.43 % ------ AIG Options
% 0.18/0.43
% 0.18/0.43 % --aig_mode false
% 0.18/0.43
% 0.18/0.43 % ------ Instantiation Options
% 0.18/0.43
% 0.18/0.43 % --instantiation_flag true
% 0.18/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.43 % --inst_solver_per_active 750
% 0.18/0.43 % --inst_solver_calls_frac 0.5
% 0.18/0.43 % --inst_passive_queue_type priority_queues
% 0.18/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.43 % --inst_passive_queues_freq [25;2]
% 0.18/0.43 % --inst_dismatching true
% 0.18/0.43 % --inst_eager_unprocessed_to_passive true
% 0.18/0.43 % --inst_prop_sim_given true
% 0.18/0.43 % --inst_prop_sim_new false
% 0.18/0.43 % --inst_orphan_elimination true
% 0.18/0.43 % --inst_learning_loop_flag true
% 0.18/0.43 % --inst_learning_start 3000
% 0.18/0.43 % --inst_learning_factor 2
% 0.18/0.43 % --inst_start_prop_sim_after_learn 3
% 0.18/0.43 % --inst_sel_renew solver
% 0.18/0.43 % --inst_lit_activity_flag true
% 0.18/0.43 % --inst_out_proof true
% 0.18/0.43
% 0.18/0.43 % ------ Resolution Options
% 0.18/0.43
% 0.18/0.43 % --resolution_flag true
% 0.18/0.43 % --res_lit_sel kbo_max
% 0.18/0.43 % --res_to_prop_solver none
% 0.18/0.43 % --res_prop_simpl_new false
% 0.18/0.43 % --res_prop_simpl_given false
% 0.18/0.43 % --res_passive_queue_type priority_queues
% 0.18/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.43 % --res_passive_queues_freq [15;5]
% 0.18/0.43 % --res_forward_subs full
% 0.18/0.43 % --res_backward_subs full
% 0.18/0.43 % --res_forward_subs_resolution true
% 0.18/0.43 % --res_backward_subs_resolution true
% 0.18/0.43 % --res_orphan_elimination false
% 0.18/0.43 % --res_time_limit 1000.
% 0.18/0.43 % --res_out_proof true
% 0.18/0.43 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b539c0.s
% 0.18/0.43 % --modulo true
% 0.18/0.43
% 0.18/0.43 % ------ Combination Options
% 0.18/0.43
% 0.18/0.43 % --comb_res_mult 1000
% 0.18/0.43 % --comb_inst_mult 300
% 0.18/0.43 % ------
% 0.18/0.43
% 0.18/0.43 % ------ Parsing...% successful
% 0.18/0.43
% 0.18/0.43 %
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % ------ Statistics
% 0.18/0.43
% 0.18/0.43 % ------ General
% 0.18/0.43
% 0.18/0.43 % num_of_input_clauses: 110
% 0.18/0.43 % num_of_input_neg_conjectures: 1
% 0.18/0.43 % num_of_splits: 0
% 0.18/0.43 % num_of_split_atoms: 0
% 0.18/0.43 % num_of_sem_filtered_clauses: 0
% 0.18/0.43 % num_of_subtypes: 0
% 0.18/0.43 % monotx_restored_types: 0
% 0.18/0.43 % sat_num_of_epr_types: 0
% 0.18/0.43 % sat_num_of_non_cyclic_types: 0
% 0.18/0.43 % sat_guarded_non_collapsed_types: 0
% 0.18/0.43 % is_epr: 0
% 0.18/0.43 % is_horn: 0
% 0.18/0.43 % has_eq: 0
% 0.18/0.43 % num_pure_diseq_elim: 0
% 0.18/0.43 % simp_replaced_by: 0
% 0.18/0.43 % res_preprocessed: 0
% 0.18/0.43 % prep_upred: 0
% 0.18/0.43 % prep_unflattend: 0
% 0.18/0.43 % pred_elim_cands: 0
% 0.18/0.43 % pred_elim: 0
% 0.18/0.43 % pred_elim_cl: 0
% 0.18/0.43 % pred_elim_cycles: 0
% 0.18/0.43 % forced_gc_time: 0
% 0.18/0.43 % gc_basic_clause_elim: 0
% 0.18/0.43 % parsing_time: 0.003
% 0.18/0.43 % sem_filter_time: 0.
% 0.18/0.43 % pred_elim_time: 0.
% 0.18/0.43 % out_proof_time: 0.
% 0.18/0.43 % monotx_time: 0.
% 0.18/0.43 % subtype_inf_time: 0.
% 0.18/0.43 % unif_index_cands_time: 0.
% 0.18/0.43 % unif_index_add_time: 0.
% 0.18/0.43 % total_time: 0.021
% 0.18/0.43 % num_of_symbols: 50
% 0.18/0.43 % num_of_terms: 96
% 0.18/0.43
% 0.18/0.43 % ------ Propositional Solver
% 0.18/0.43
% 0.18/0.43 % prop_solver_calls: 0
% 0.18/0.43 % prop_fast_solver_calls: 0
% 0.18/0.43 % prop_num_of_clauses: 45
% 0.18/0.43 % prop_preprocess_simplified: 70
% 0.18/0.43 % prop_fo_subsumed: 0
% 0.18/0.43 % prop_solver_time: 0.
% 0.18/0.43 % prop_fast_solver_time: 0.
% 0.18/0.43 % prop_unsat_core_time: 0.
% 0.18/0.43
% 0.18/0.43 % ------ QBF
% 0.18/0.43
% 0.18/0.43 % qbf_q_res: 0
% 0.18/0.43 % qbf_num_tautologies: 0
% 0.18/0.43 % qbf_prep_cycles: 0
% 0.18/0.43
% 0.18/0.43 % ------ BMC1
% 0.18/0.43
% 0.18/0.43 % bmc1_current_bound: -1
% 0.18/0.43 % bmc1_last_solved_bound: -1
% 0.18/0.43 % bmc1_unsat_core_size: -1
% 0.18/0.43 % bmc1_unsat_core_parents_size: -1
% 0.18/0.43 % bmc1_merge_next_fun: 0
% 0.18/0.43 % bmc1_unsat_core_clauses_time: 0.
% 0.18/0.43
% 0.18/0.43 % ------ Instantiation
% 0.18/0.43
% 0.18/0.43 % inst_num_of_clauses: undef
% 0.18/0.43 % inst_num_in_passive: undef
% 0.18/0.43 % inst_num_in_active: 0
% 0.18/0.43 % inst_num_in_unprocessed: 0
% 0.18/0.43 % inst_num_of_loops: 0
% 0.18/0.43 % inst_num_of_learning_restarts: 0
% 0.18/0.43 % inst_num_moves_active_passive: 0
% 0.18/0.43 % inst_lit_activity: 0
% 0.18/0.43 % inst_lit_activity_moves: 0
% 0.18/0.43 % inst_num_tautologies: 0
% 0.18/0.43 % inst_num_prop_implied: 0
% 0.18/0.43 % inst_num_existing_simplified: 0
% 0.18/0.43 % inst_num_eq_res_simplified: 0
% 0.18/0.43 % inst_num_child_elim: 0
% 0.18/0.43 % inst_num_of_dismatching_blockings: 0
% 0.18/0.43 % inst_num_of_non_proper_insts: 0
% 0.18/0.43 % inst_num_of_duplicates: 0
% 0.18/0.43 % inst_inst_num_from_inst_to_res: 0
% 0.18/0.43 % inst_dismatching_checking_time: 0.
% 0.18/0.43
% 0.18/0.43 % ------ Resolution
% 0.18/0.43
% 0.18/0.43 % res_num_of_clauses: undef
% 0.18/0.43 % res_num_in_passive: undef
% 0.18/0.43 % res_num_in_active: 0
% 0.18/0.43 % res_num_of_loops: 0
% 0.18/0.43 % res_forward_subset_subsumed: 0
% 0.18/0.43 % res_backward_subset_subsumed: 0
% 0.18/0.43 % res_forward_subsumed: 0
% 0.18/0.43 % res_backward_subsumed: 0
% 0.18/0.43 % res_forward_subsumption_resolution: 0
% 0.18/0.43 % res_backward_subsumption_resolution: 0
% 0.18/0.43 % res_clause_to_clause_subsumption: 0
% 0.18/0.43 % res_orphan_elimination: 0
% 0.18/0.43 % res_tautology_del: 0
% 0.18/0.43 % res_num_eq_res_simplified: 0
% 0.18/0.43 % res_num_sel_changes: 0
% 0.18/0.43 % res_moves_from_active_to_pass: 0
% 0.18/0.43
% 0.18/0.43 % Status Unsatisfiable
% 0.18/0.43 % SZS status Unsatisfiable
% 0.18/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------