TSTP Solution File: GRP127-4.004 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GRP127-4.004 : 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 : Sat Jul 16 09:45:06 EDT 2022
% Result : Unsatisfiable 5.69s 5.87s
% Output : CNFRefutation 5.69s
% 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(product_idempotence,axiom,
product(X,X,X),
input ).
fof(product_idempotence_0,plain,
! [X] :
( product(X,X,X)
| $false ),
inference(orientation,[status(thm)],[product_idempotence]) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
input ).
fof(e_4_is_not_e_3_0,plain,
( ~ equalish(e_4,e_3)
| $false ),
inference(orientation,[status(thm)],[e_4_is_not_e_3]) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
input ).
fof(e_4_is_not_e_2_0,plain,
( ~ equalish(e_4,e_2)
| $false ),
inference(orientation,[status(thm)],[e_4_is_not_e_2]) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
input ).
fof(e_4_is_not_e_1_0,plain,
( ~ equalish(e_4,e_1)
| $false ),
inference(orientation,[status(thm)],[e_4_is_not_e_1]) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
input ).
fof(e_3_is_not_e_4_0,plain,
( ~ equalish(e_3,e_4)
| $false ),
inference(orientation,[status(thm)],[e_3_is_not_e_4]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
fof(e_3_is_not_e_2_0,plain,
( ~ equalish(e_3,e_2)
| $false ),
inference(orientation,[status(thm)],[e_3_is_not_e_2]) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
fof(e_3_is_not_e_1_0,plain,
( ~ equalish(e_3,e_1)
| $false ),
inference(orientation,[status(thm)],[e_3_is_not_e_1]) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
input ).
fof(e_2_is_not_e_4_0,plain,
( ~ equalish(e_2,e_4)
| $false ),
inference(orientation,[status(thm)],[e_2_is_not_e_4]) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
fof(e_2_is_not_e_3_0,plain,
( ~ equalish(e_2,e_3)
| $false ),
inference(orientation,[status(thm)],[e_2_is_not_e_3]) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
fof(e_2_is_not_e_1_0,plain,
( ~ equalish(e_2,e_1)
| $false ),
inference(orientation,[status(thm)],[e_2_is_not_e_1]) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
input ).
fof(e_1_is_not_e_4_0,plain,
( ~ equalish(e_1,e_4)
| $false ),
inference(orientation,[status(thm)],[e_1_is_not_e_4]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
input ).
fof(e_1_is_not_e_3_0,plain,
( ~ equalish(e_1,e_3)
| $false ),
inference(orientation,[status(thm)],[e_1_is_not_e_3]) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
input ).
fof(e_1_is_not_e_2_0,plain,
( ~ equalish(e_1,e_2)
| $false ),
inference(orientation,[status(thm)],[e_1_is_not_e_2]) ).
cnf(element_4,axiom,
group_element(e_4),
input ).
fof(element_4_0,plain,
( group_element(e_4)
| $false ),
inference(orientation,[status(thm)],[element_4]) ).
cnf(element_3,axiom,
group_element(e_3),
input ).
fof(element_3_0,plain,
( group_element(e_3)
| $false ),
inference(orientation,[status(thm)],[element_3]) ).
cnf(element_2,axiom,
group_element(e_2),
input ).
fof(element_2_0,plain,
( group_element(e_2)
| $false ),
inference(orientation,[status(thm)],[element_2]) ).
cnf(element_1,axiom,
group_element(e_1),
input ).
fof(element_1_0,plain,
( group_element(e_1)
| $false ),
inference(orientation,[status(thm)],[element_1]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> group_element(e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[element_1_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> group_element(e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[element_2_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> group_element(e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[element_3_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> group_element(e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[element_4_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> ~ equalish(e_1,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_2_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> ~ equalish(e_1,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_3_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> ~ equalish(e_1,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_4_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> ~ equalish(e_2,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_1_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> ~ equalish(e_2,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_3_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> ~ equalish(e_2,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_4_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> ~ equalish(e_3,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
( lhs_atom12
<=> ~ equalish(e_3,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_2_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
( lhs_atom13
<=> ~ equalish(e_3,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
( lhs_atom13
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_4_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
( lhs_atom14
<=> ~ equalish(e_4,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
( lhs_atom14
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
( lhs_atom15
<=> ~ equalish(e_4,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
( lhs_atom15
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_2_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
( lhs_atom16
<=> ~ equalish(e_4,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
( lhs_atom16
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_3_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [X] :
( lhs_atom17(X)
<=> product(X,X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [X] :
( lhs_atom17(X)
| $false ),
inference(fold_definition,[status(thm)],[product_idempotence_0,def_lhs_atom17]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom17(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_1,axiom,
( lhs_atom16
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_2,axiom,
( lhs_atom15
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_3,axiom,
( lhs_atom14
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_4,axiom,
( lhs_atom13
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_5,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_6,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_7,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_8,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_9,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_10,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_11,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_12,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_13,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_14,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_15,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_16,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_17,plain,
! [X1] : lhs_atom17(X1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_18,plain,
lhs_atom16,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_19,plain,
lhs_atom15,
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_20,plain,
lhs_atom14,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_21,plain,
lhs_atom13,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_22,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_23,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_24,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_25,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_26,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_27,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_28,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_29,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_30,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_31,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_32,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_33,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_34,plain,
! [X2] : lhs_atom17(X2),
inference(variable_rename,[status(thm)],[c_0_17]) ).
fof(c_0_35,plain,
lhs_atom16,
c_0_18 ).
fof(c_0_36,plain,
lhs_atom15,
c_0_19 ).
fof(c_0_37,plain,
lhs_atom14,
c_0_20 ).
fof(c_0_38,plain,
lhs_atom13,
c_0_21 ).
fof(c_0_39,plain,
lhs_atom12,
c_0_22 ).
fof(c_0_40,plain,
lhs_atom11,
c_0_23 ).
fof(c_0_41,plain,
lhs_atom10,
c_0_24 ).
fof(c_0_42,plain,
lhs_atom9,
c_0_25 ).
fof(c_0_43,plain,
lhs_atom8,
c_0_26 ).
fof(c_0_44,plain,
lhs_atom7,
c_0_27 ).
fof(c_0_45,plain,
lhs_atom6,
c_0_28 ).
fof(c_0_46,plain,
lhs_atom5,
c_0_29 ).
fof(c_0_47,plain,
lhs_atom4,
c_0_30 ).
fof(c_0_48,plain,
lhs_atom3,
c_0_31 ).
fof(c_0_49,plain,
lhs_atom2,
c_0_32 ).
fof(c_0_50,plain,
lhs_atom1,
c_0_33 ).
cnf(c_0_51,plain,
lhs_atom17(X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_52,plain,
lhs_atom16,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
lhs_atom15,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
lhs_atom14,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,plain,
lhs_atom13,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_56,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_57,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_58,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_59,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_60,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_61,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_62,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_63,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_64,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_65,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_66,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_67,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_68,plain,
lhs_atom17(X1),
c_0_51,
[final] ).
cnf(c_0_69,plain,
lhs_atom16,
c_0_52,
[final] ).
cnf(c_0_70,plain,
lhs_atom15,
c_0_53,
[final] ).
cnf(c_0_71,plain,
lhs_atom14,
c_0_54,
[final] ).
cnf(c_0_72,plain,
lhs_atom13,
c_0_55,
[final] ).
cnf(c_0_73,plain,
lhs_atom12,
c_0_56,
[final] ).
cnf(c_0_74,plain,
lhs_atom11,
c_0_57,
[final] ).
cnf(c_0_75,plain,
lhs_atom10,
c_0_58,
[final] ).
cnf(c_0_76,plain,
lhs_atom9,
c_0_59,
[final] ).
cnf(c_0_77,plain,
lhs_atom8,
c_0_60,
[final] ).
cnf(c_0_78,plain,
lhs_atom7,
c_0_61,
[final] ).
cnf(c_0_79,plain,
lhs_atom6,
c_0_62,
[final] ).
cnf(c_0_80,plain,
lhs_atom5,
c_0_63,
[final] ).
cnf(c_0_81,plain,
lhs_atom4,
c_0_64,
[final] ).
cnf(c_0_82,plain,
lhs_atom3,
c_0_65,
[final] ).
cnf(c_0_83,plain,
lhs_atom2,
c_0_66,
[final] ).
cnf(c_0_84,plain,
lhs_atom1,
c_0_67,
[final] ).
% End CNF derivation
cnf(c_0_68_0,axiom,
product(X1,X1,X1),
inference(unfold_definition,[status(thm)],[c_0_68,def_lhs_atom17]) ).
cnf(c_0_69_0,axiom,
~ equalish(e_4,e_3),
inference(unfold_definition,[status(thm)],[c_0_69,def_lhs_atom16]) ).
cnf(c_0_70_0,axiom,
~ equalish(e_4,e_2),
inference(unfold_definition,[status(thm)],[c_0_70,def_lhs_atom15]) ).
cnf(c_0_71_0,axiom,
~ equalish(e_4,e_1),
inference(unfold_definition,[status(thm)],[c_0_71,def_lhs_atom14]) ).
cnf(c_0_72_0,axiom,
~ equalish(e_3,e_4),
inference(unfold_definition,[status(thm)],[c_0_72,def_lhs_atom13]) ).
cnf(c_0_73_0,axiom,
~ equalish(e_3,e_2),
inference(unfold_definition,[status(thm)],[c_0_73,def_lhs_atom12]) ).
cnf(c_0_74_0,axiom,
~ equalish(e_3,e_1),
inference(unfold_definition,[status(thm)],[c_0_74,def_lhs_atom11]) ).
cnf(c_0_75_0,axiom,
~ equalish(e_2,e_4),
inference(unfold_definition,[status(thm)],[c_0_75,def_lhs_atom10]) ).
cnf(c_0_76_0,axiom,
~ equalish(e_2,e_3),
inference(unfold_definition,[status(thm)],[c_0_76,def_lhs_atom9]) ).
cnf(c_0_77_0,axiom,
~ equalish(e_2,e_1),
inference(unfold_definition,[status(thm)],[c_0_77,def_lhs_atom8]) ).
cnf(c_0_78_0,axiom,
~ equalish(e_1,e_4),
inference(unfold_definition,[status(thm)],[c_0_78,def_lhs_atom7]) ).
cnf(c_0_79_0,axiom,
~ equalish(e_1,e_3),
inference(unfold_definition,[status(thm)],[c_0_79,def_lhs_atom6]) ).
cnf(c_0_80_0,axiom,
~ equalish(e_1,e_2),
inference(unfold_definition,[status(thm)],[c_0_80,def_lhs_atom5]) ).
cnf(c_0_81_0,axiom,
group_element(e_4),
inference(unfold_definition,[status(thm)],[c_0_81,def_lhs_atom4]) ).
cnf(c_0_82_0,axiom,
group_element(e_3),
inference(unfold_definition,[status(thm)],[c_0_82,def_lhs_atom3]) ).
cnf(c_0_83_0,axiom,
group_element(e_2),
inference(unfold_definition,[status(thm)],[c_0_83,def_lhs_atom2]) ).
cnf(c_0_84_0,axiom,
group_element(e_1),
inference(unfold_definition,[status(thm)],[c_0_84,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X2,X3] :
( ~ group_element(X3)
| ~ group_element(X2)
| product(e_1,X3,X2)
| product(e_2,X3,X2)
| product(e_3,X3,X2)
| product(e_4,X3,X2) ),
file('<stdin>',row_surjectivity) ).
fof(c_0_1_002,axiom,
! [X2,X3] :
( ~ group_element(X3)
| ~ group_element(X2)
| product(X3,e_1,X2)
| product(X3,e_2,X2)
| product(X3,e_3,X2)
| product(X3,e_4,X2) ),
file('<stdin>',column_surjectivity) ).
fof(c_0_2_003,axiom,
! [X2,X3] :
( ~ group_element(X3)
| ~ group_element(X2)
| product(X3,X2,e_1)
| product(X3,X2,e_2)
| product(X3,X2,e_3)
| product(X3,X2,e_4) ),
file('<stdin>',product_total_function1) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3,X4] :
( ~ product(X3,X2,X4)
| ~ product(X3,X2,X1)
| equalish(X4,X1) ),
file('<stdin>',product_total_function2) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3,X4] :
( ~ product(X3,X4,X2)
| ~ product(X3,X1,X2)
| equalish(X4,X1) ),
file('<stdin>',product_right_cancellation) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3,X4] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X4,X1) ),
file('<stdin>',product_left_cancellation) ).
fof(c_0_6_007,plain,
! [X2,X3] :
( ~ group_element(X3)
| ~ group_element(X2)
| product(e_1,X3,X2)
| product(e_2,X3,X2)
| product(e_3,X3,X2)
| product(e_4,X3,X2) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_7_008,plain,
! [X2,X3] :
( ~ group_element(X3)
| ~ group_element(X2)
| product(X3,e_1,X2)
| product(X3,e_2,X2)
| product(X3,e_3,X2)
| product(X3,e_4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_8_009,plain,
! [X2,X3] :
( ~ group_element(X3)
| ~ group_element(X2)
| product(X3,X2,e_1)
| product(X3,X2,e_2)
| product(X3,X2,e_3)
| product(X3,X2,e_4) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_9_010,plain,
! [X1,X2,X3,X4] :
( ~ product(X3,X2,X4)
| ~ product(X3,X2,X1)
| equalish(X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_10_011,plain,
! [X1,X2,X3,X4] :
( ~ product(X3,X4,X2)
| ~ product(X3,X1,X2)
| equalish(X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_11_012,plain,
! [X1,X2,X3,X4] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_12_013,plain,
! [X4,X5] :
( ~ group_element(X5)
| ~ group_element(X4)
| product(e_1,X5,X4)
| product(e_2,X5,X4)
| product(e_3,X5,X4)
| product(e_4,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_13_014,plain,
! [X4,X5] :
( ~ group_element(X5)
| ~ group_element(X4)
| product(X5,e_1,X4)
| product(X5,e_2,X4)
| product(X5,e_3,X4)
| product(X5,e_4,X4) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_14_015,plain,
! [X4,X5] :
( ~ group_element(X5)
| ~ group_element(X4)
| product(X5,X4,e_1)
| product(X5,X4,e_2)
| product(X5,X4,e_3)
| product(X5,X4,e_4) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_15_016,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X6,X8)
| ~ product(X7,X6,X5)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_16_017,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X8,X6)
| ~ product(X7,X5,X6)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_10]) ).
fof(c_0_17_018,plain,
! [X5,X6,X7,X8] :
( ~ product(X8,X6,X7)
| ~ product(X5,X6,X7)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_11]) ).
cnf(c_0_18_019,plain,
( product(e_4,X1,X2)
| product(e_3,X1,X2)
| product(e_2,X1,X2)
| product(e_1,X1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19_020,plain,
( product(X1,e_4,X2)
| product(X1,e_3,X2)
| product(X1,e_2,X2)
| product(X1,e_1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20_021,plain,
( product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21_022,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22_023,plain,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23_024,plain,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24_025,plain,
( product(e_4,X1,X2)
| product(e_3,X1,X2)
| product(e_2,X1,X2)
| product(e_1,X1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
c_0_18,
[final] ).
cnf(c_0_25_026,plain,
( product(X1,e_4,X2)
| product(X1,e_3,X2)
| product(X1,e_2,X2)
| product(X1,e_1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
c_0_19,
[final] ).
cnf(c_0_26_027,plain,
( product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X1) ),
c_0_20,
[final] ).
cnf(c_0_27_028,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
c_0_21,
[final] ).
cnf(c_0_28_029,plain,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
c_0_22,
[final] ).
cnf(c_0_29_030,plain,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
c_0_23,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_24_0,axiom,
( product(e_4,X1,X2)
| product(e_3,X1,X2)
| product(e_2,X1,X2)
| product(e_1,X1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_1,axiom,
( product(e_3,X1,X2)
| product(e_4,X1,X2)
| product(e_2,X1,X2)
| product(e_1,X1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_2,axiom,
( product(e_2,X1,X2)
| product(e_3,X1,X2)
| product(e_4,X1,X2)
| product(e_1,X1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_3,axiom,
( product(e_1,X1,X2)
| product(e_2,X1,X2)
| product(e_3,X1,X2)
| product(e_4,X1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_4,axiom,
( ~ group_element(X2)
| product(e_1,X1,X2)
| product(e_2,X1,X2)
| product(e_3,X1,X2)
| product(e_4,X1,X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_5,axiom,
( ~ group_element(X1)
| ~ group_element(X2)
| product(e_1,X1,X2)
| product(e_2,X1,X2)
| product(e_3,X1,X2)
| product(e_4,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_25_0,axiom,
( product(X1,e_4,X2)
| product(X1,e_3,X2)
| product(X1,e_2,X2)
| product(X1,e_1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_1,axiom,
( product(X1,e_3,X2)
| product(X1,e_4,X2)
| product(X1,e_2,X2)
| product(X1,e_1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_2,axiom,
( product(X1,e_2,X2)
| product(X1,e_3,X2)
| product(X1,e_4,X2)
| product(X1,e_1,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_3,axiom,
( product(X1,e_1,X2)
| product(X1,e_2,X2)
| product(X1,e_3,X2)
| product(X1,e_4,X2)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_4,axiom,
( ~ group_element(X2)
| product(X1,e_1,X2)
| product(X1,e_2,X2)
| product(X1,e_3,X2)
| product(X1,e_4,X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_25_5,axiom,
( ~ group_element(X1)
| ~ group_element(X2)
| product(X1,e_1,X2)
| product(X1,e_2,X2)
| product(X1,e_3,X2)
| product(X1,e_4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_25]) ).
cnf(c_0_26_0,axiom,
( product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_1,axiom,
( product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_2)
| product(X1,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_2,axiom,
( product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_3,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_4,axiom,
( ~ group_element(X2)
| product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_26_5,axiom,
( ~ group_element(X1)
| ~ group_element(X2)
| product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4) ),
inference(literals_permutation,[status(thm)],[c_0_26]) ).
cnf(c_0_27_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_1,axiom,
( ~ product(X3,X4,X2)
| equalish(X1,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_27_2,axiom,
( ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_27]) ).
cnf(c_0_28_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_1,axiom,
( ~ product(X3,X2,X4)
| equalish(X1,X2)
| ~ product(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_28_2,axiom,
( ~ product(X3,X1,X4)
| ~ product(X3,X2,X4)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_28]) ).
cnf(c_0_29_0,axiom,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_1,axiom,
( ~ product(X2,X3,X4)
| equalish(X1,X2)
| ~ product(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
cnf(c_0_29_2,axiom,
( ~ product(X1,X3,X4)
| ~ product(X2,X3,X4)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_29]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_031,negated_conjecture,
! [X1,X2,X3,X4] :
( ~ product(X3,X4,X2)
| ~ product(X2,X3,X1)
| product(X1,X3,X4) ),
file('<stdin>',qg3) ).
fof(c_0_1_032,negated_conjecture,
! [X1,X2,X3,X4] :
( product(X2,X3,X1)
| ~ product(X1,X3,X4)
| ~ product(X3,X4,X2) ),
file('<stdin>',qg3_2) ).
fof(c_0_2_033,negated_conjecture,
! [X1,X2,X3,X4] :
( product(X3,X4,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X1) ),
file('<stdin>',qg3_1) ).
fof(c_0_3_034,negated_conjecture,
! [X1,X2,X3,X4] :
( ~ product(X3,X4,X2)
| ~ product(X2,X3,X1)
| product(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_4_035,negated_conjecture,
! [X1,X2,X3,X4] :
( product(X2,X3,X1)
| ~ product(X1,X3,X4)
| ~ product(X3,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_5_036,negated_conjecture,
! [X1,X2,X3,X4] :
( product(X3,X4,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_6_037,negated_conjecture,
! [X5,X6,X7,X8] :
( ~ product(X7,X8,X6)
| ~ product(X6,X7,X5)
| product(X5,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_3]) ).
fof(c_0_7_038,negated_conjecture,
! [X5,X6,X7,X8] :
( product(X6,X7,X5)
| ~ product(X5,X7,X8)
| ~ product(X7,X8,X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_4])])]) ).
fof(c_0_8_039,negated_conjecture,
! [X5,X6,X7,X8] :
( product(X7,X8,X6)
| ~ product(X5,X7,X8)
| ~ product(X6,X7,X5) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
cnf(c_0_9_040,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X2,X1)
| ~ product(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10_041,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11_042,negated_conjecture,
( product(X2,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12_043,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X2,X1)
| ~ product(X2,X3,X4) ),
c_0_9,
[final] ).
cnf(c_0_13_044,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X1,X2) ),
c_0_10,
[final] ).
cnf(c_0_14_045,negated_conjecture,
( product(X2,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X4) ),
c_0_11,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_45,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X3,X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_13) ).
cnf(c_51,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X3,X1,X0) ),
inference(copy,[status(esa)],[c_45]) ).
cnf(c_62,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X3,X1,X0) ),
inference(copy,[status(esa)],[c_51]) ).
cnf(c_65,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X3,X1,X0) ),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_68,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X3,X1,X0) ),
inference(copy,[status(esa)],[c_65]) ).
cnf(c_115,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X3,X1,X0) ),
inference(copy,[status(esa)],[c_68]) ).
cnf(c_197327,plain,
( ~ product(e_2,X0,X1)
| ~ product(X2,e_2,X0)
| product(X1,e_2,X2) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_199137,plain,
( ~ product(e_2,e_3,X0)
| ~ product(X1,e_2,e_3)
| product(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_197327]) ).
cnf(c_199140,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_3)
| product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_199137]) ).
cnf(c_19,plain,
( ~ product(X0,X1,X2)
| equalish(X2,X3)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_27_1) ).
cnf(c_89,plain,
( ~ product(X0,X1,X2)
| equalish(X2,X3)
| ~ product(X0,X1,X3) ),
inference(copy,[status(esa)],[c_19]) ).
cnf(c_197201,plain,
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_199109,plain,
( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_197201]) ).
cnf(c_199112,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_1,e_3,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_199109]) ).
cnf(c_23,plain,
( equalish(X0,X1)
| ~ product(X2,X1,X3)
| ~ product(X2,X0,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_28_2) ).
cnf(c_93,plain,
( equalish(X0,X1)
| ~ product(X2,X1,X3)
| ~ product(X2,X0,X3) ),
inference(copy,[status(esa)],[c_23]) ).
cnf(c_197229,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_199095,plain,
( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_197229]) ).
cnf(c_199104,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_199095]) ).
cnf(c_198717,plain,
( ~ product(e_2,e_4,X0)
| ~ product(X1,e_2,e_4)
| product(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_197327]) ).
cnf(c_198720,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_4)
| product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_198717]) ).
cnf(c_46,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X0)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_14) ).
cnf(c_53,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X0)
| product(X1,X2,X3) ),
inference(copy,[status(esa)],[c_46]) ).
cnf(c_63,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X0)
| product(X1,X2,X3) ),
inference(copy,[status(esa)],[c_53]) ).
cnf(c_64,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X0)
| product(X1,X2,X3) ),
inference(copy,[status(esa)],[c_63]) ).
cnf(c_69,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X0)
| product(X1,X2,X3) ),
inference(copy,[status(esa)],[c_64]) ).
cnf(c_116,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X0)
| product(X1,X2,X3) ),
inference(copy,[status(esa)],[c_69]) ).
cnf(c_197759,plain,
( product(e_4,X0,X1)
| ~ product(X2,e_4,X0)
| ~ product(X1,e_4,X2) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_198710,plain,
( product(e_4,X0,X1)
| ~ product(e_2,e_4,X0)
| ~ product(X1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_197759]) ).
cnf(c_198711,plain,
( product(e_4,e_1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_198710]) ).
cnf(c_197432,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_198690,plain,
( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_197432]) ).
cnf(c_198699,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_198690]) ).
cnf(c_198670,plain,
( ~ product(e_2,e_4,e_2)
| product(e_2,e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_197327]) ).
cnf(c_198672,plain,
( ~ product(e_2,e_4,e_2)
| product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_198670]) ).
cnf(c_44,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_12) ).
cnf(c_49,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
inference(copy,[status(esa)],[c_44]) ).
cnf(c_61,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
inference(copy,[status(esa)],[c_49]) ).
cnf(c_66,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
inference(copy,[status(esa)],[c_61]) ).
cnf(c_67,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_114,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_197396,plain,
( ~ product(e_3,X0,X1)
| ~ product(X1,e_3,X2)
| product(X2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_198656,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_3,X0)
| product(X0,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_197396]) ).
cnf(c_198664,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_3,e_1)
| product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_198656]) ).
cnf(c_5,plain,
( product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_24_5) ).
cnf(c_75,plain,
( product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_197262,plain,
( product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_2,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_198599,plain,
( product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_197262]) ).
cnf(c_198252,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_4,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_197201]) ).
cnf(c_197834,plain,
( ~ product(e_4,X0,X1)
| ~ product(X2,e_4,X0)
| product(X1,e_4,X2) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_197869,plain,
( ~ product(e_4,e_4,e_4)
| product(e_4,e_4,X0)
| ~ product(X0,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_197834]) ).
cnf(c_197870,plain,
( ~ product(e_4,e_4,e_4)
| product(e_4,e_4,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_197869]) ).
cnf(c_43,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_68_0) ).
cnf(c_113,plain,
product(X0,X0,X0),
inference(copy,[status(esa)],[c_43]) ).
cnf(c_197739,plain,
product(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_197165,plain,
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_197738,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_4,e_1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_197165]) ).
cnf(c_11,plain,
( product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_25_5) ).
cnf(c_81,plain,
( product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(copy,[status(esa)],[c_11]) ).
cnf(c_197729,plain,
( product(X0,e_4,e_4)
| product(X0,e_3,e_4)
| product(X0,e_2,e_4)
| product(X0,e_1,e_4)
| ~ group_element(e_4)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_197735,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_4)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_197729]) ).
cnf(c_26,plain,
( equalish(X0,X1)
| ~ product(X1,X2,X3)
| ~ product(X0,X2,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_29_2) ).
cnf(c_96,plain,
( equalish(X0,X1)
| ~ product(X1,X2,X3)
| ~ product(X0,X2,X3) ),
inference(copy,[status(esa)],[c_26]) ).
cnf(c_197156,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_197599,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_1,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_197156]) ).
cnf(c_197442,plain,
( ~ product(e_2,e_2,e_2)
| product(e_2,e_2,X0)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_197327]) ).
cnf(c_197443,plain,
( ~ product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_197442]) ).
cnf(c_17,plain,
( product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_26_5) ).
cnf(c_87,plain,
( product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(copy,[status(esa)],[c_17]) ).
cnf(c_197384,plain,
( product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_197390,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_197384]) ).
cnf(c_197348,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_197316,plain,
( product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_197322,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_197316]) ).
cnf(c_197285,plain,
( product(e_2,e_4,X0)
| product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_197291,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_197285]) ).
cnf(c_197280,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_197141,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_197279,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_197141]) ).
cnf(c_197270,plain,
( product(X0,e_4,e_2)
| product(X0,e_3,e_2)
| product(X0,e_2,e_2)
| product(X0,e_1,e_2)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_197276,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_197270]) ).
cnf(c_197168,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_197172,plain,
( ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_197168]) ).
cnf(c_197167,plain,
( ~ product(e_1,e_1,e_4)
| ~ product(e_1,e_1,e_1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_197165]) ).
cnf(c_197157,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_197159,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_197157]) ).
cnf(c_197144,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_197148,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_197144]) ).
cnf(c_197145,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_197147,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_197145]) ).
cnf(c_197143,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_1,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_197141]) ).
cnf(c_27,plain,
group_element(e_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_84_0) ).
cnf(c_28,plain,
group_element(e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_83_0) ).
cnf(c_29,plain,
group_element(e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_82_0) ).
cnf(c_30,plain,
group_element(e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_81_0) ).
cnf(c_31,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_80_0) ).
cnf(c_32,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_79_0) ).
cnf(c_33,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_78_0) ).
cnf(c_36,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_75_0) ).
cnf(c_38,plain,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_73_0) ).
cnf(c_42,plain,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_b2626a.p',c_0_69_0) ).
cnf(c_47,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_43]) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_199140,c_199112,c_199104,c_198720,c_198711,c_198699,c_198672,c_198664,c_198599,c_198252,c_197870,c_197739,c_197738,c_197735,c_197599,c_197443,c_197390,c_197348,c_197322,c_197291,c_197280,c_197279,c_197276,c_197172,c_197167,c_197159,c_197148,c_197147,c_197143,c_27,c_28,c_29,c_30,c_31,c_32,c_33,c_36,c_38,c_42,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 11:43:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Running in mono-core mode
% 0.22/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.42 % Orientation found
% 0.22/0.42 % 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_ba7244.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b2626a.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_89cd2f | grep -v "SZS"
% 0.22/0.45
% 0.22/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.45
% 0.22/0.45 %
% 0.22/0.45 % ------ iProver source info
% 0.22/0.45
% 0.22/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.45 % git: non_committed_changes: true
% 0.22/0.45 % git: last_make_outside_of_git: true
% 0.22/0.45
% 0.22/0.45 %
% 0.22/0.45 % ------ Input Options
% 0.22/0.45
% 0.22/0.45 % --out_options all
% 0.22/0.45 % --tptp_safe_out true
% 0.22/0.45 % --problem_path ""
% 0.22/0.45 % --include_path ""
% 0.22/0.45 % --clausifier .//eprover
% 0.22/0.45 % --clausifier_options --tstp-format
% 0.22/0.45 % --stdin false
% 0.22/0.45 % --dbg_backtrace false
% 0.22/0.45 % --dbg_dump_prop_clauses false
% 0.22/0.45 % --dbg_dump_prop_clauses_file -
% 0.22/0.45 % --dbg_out_stat false
% 0.22/0.45
% 0.22/0.45 % ------ General Options
% 0.22/0.45
% 0.22/0.45 % --fof false
% 0.22/0.45 % --time_out_real 150.
% 0.22/0.45 % --time_out_prep_mult 0.2
% 0.22/0.45 % --time_out_virtual -1.
% 0.22/0.45 % --schedule none
% 0.22/0.45 % --ground_splitting input
% 0.22/0.45 % --splitting_nvd 16
% 0.22/0.45 % --non_eq_to_eq false
% 0.22/0.45 % --prep_gs_sim true
% 0.22/0.45 % --prep_unflatten false
% 0.22/0.45 % --prep_res_sim true
% 0.22/0.45 % --prep_upred true
% 0.22/0.45 % --res_sim_input true
% 0.22/0.45 % --clause_weak_htbl true
% 0.22/0.45 % --gc_record_bc_elim false
% 0.22/0.45 % --symbol_type_check false
% 0.22/0.45 % --clausify_out false
% 0.22/0.45 % --large_theory_mode false
% 0.22/0.45 % --prep_sem_filter none
% 0.22/0.45 % --prep_sem_filter_out false
% 0.22/0.45 % --preprocessed_out false
% 0.22/0.45 % --sub_typing false
% 0.22/0.45 % --brand_transform false
% 0.22/0.45 % --pure_diseq_elim true
% 0.22/0.45 % --min_unsat_core false
% 0.22/0.45 % --pred_elim true
% 0.22/0.45 % --add_important_lit false
% 0.22/0.45 % --soft_assumptions false
% 0.22/0.45 % --reset_solvers false
% 0.22/0.45 % --bc_imp_inh []
% 0.22/0.45 % --conj_cone_tolerance 1.5
% 0.22/0.45 % --prolific_symb_bound 500
% 0.22/0.45 % --lt_threshold 2000
% 0.22/0.45
% 0.22/0.45 % ------ SAT Options
% 0.22/0.45
% 0.22/0.45 % --sat_mode false
% 0.22/0.45 % --sat_fm_restart_options ""
% 0.22/0.45 % --sat_gr_def false
% 0.22/0.45 % --sat_epr_types true
% 0.22/0.45 % --sat_non_cyclic_types false
% 0.22/0.45 % --sat_finite_models false
% 0.22/0.45 % --sat_fm_lemmas false
% 0.22/0.45 % --sat_fm_prep false
% 0.22/0.45 % --sat_fm_uc_incr true
% 0.22/0.45 % --sat_out_model small
% 0.22/0.45 % --sat_out_clauses false
% 0.22/0.45
% 0.22/0.45 % ------ QBF Options
% 0.22/0.45
% 0.22/0.45 % --qbf_mode false
% 0.22/0.45 % --qbf_elim_univ true
% 0.22/0.45 % --qbf_sk_in true
% 0.22/0.45 % --qbf_pred_elim true
% 0.22/0.45 % --qbf_split 32
% 0.22/0.45
% 0.22/0.45 % ------ BMC1 Options
% 0.22/0.45
% 0.22/0.45 % --bmc1_incremental false
% 0.22/0.45 % --bmc1_axioms reachable_all
% 0.22/0.45 % --bmc1_min_bound 0
% 0.22/0.45 % --bmc1_max_bound -1
% 0.22/0.45 % --bmc1_max_bound_default -1
% 0.22/0.45 % --bmc1_symbol_reachability true
% 0.22/0.45 % --bmc1_property_lemmas false
% 0.22/0.45 % --bmc1_k_induction false
% 0.22/0.45 % --bmc1_non_equiv_states false
% 0.22/0.45 % --bmc1_deadlock false
% 0.22/0.45 % --bmc1_ucm false
% 0.22/0.45 % --bmc1_add_unsat_core none
% 0.22/0.45 % --bmc1_unsat_core_children false
% 0.22/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.45 % --bmc1_out_stat full
% 0.22/0.45 % --bmc1_ground_init false
% 0.22/0.45 % --bmc1_pre_inst_next_state false
% 0.22/0.45 % --bmc1_pre_inst_state false
% 0.22/0.45 % --bmc1_pre_inst_reach_state false
% 0.22/0.45 % --bmc1_out_unsat_core false
% 0.22/0.45 % --bmc1_aig_witness_out false
% 0.22/0.45 % --bmc1_verbose false
% 0.22/0.45 % --bmc1_dump_clauses_tptp false
% 0.22/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.22/0.45 % --bmc1_dump_file -
% 0.22/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.22/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.22/0.45 % --bmc1_ucm_extend_mode 1
% 0.22/0.45 % --bmc1_ucm_init_mode 2
% 0.22/0.45 % --bmc1_ucm_cone_mode none
% 0.22/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.22/0.45 % --bmc1_ucm_relax_model 4
% 0.22/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.22/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.22/0.45 % --bmc1_ucm_layered_model none
% 0.22/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.22/0.45
% 0.22/0.45 % ------ AIG Options
% 0.22/0.45
% 0.22/0.45 % --aig_mode false
% 0.22/0.45
% 0.22/0.45 % ------ Instantiation Options
% 0.22/0.45
% 0.22/0.45 % --instantiation_flag true
% 0.22/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.45 % --inst_solver_per_active 750
% 0.22/0.45 % --inst_solver_calls_frac 0.5
% 0.22/0.45 % --inst_passive_queue_type priority_queues
% 0.22/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.45 % --inst_passive_queues_freq [25;2]
% 0.22/0.45 % --inst_dismatching true
% 0.22/0.45 % --inst_eager_unprocessed_to_passive true
% 0.22/0.45 % --inst_prop_sim_given true
% 0.22/0.45 % --inst_prop_sim_new false
% 0.22/0.45 % --inst_orphan_elimination true
% 0.22/0.45 % --inst_learning_loop_flag true
% 0.22/0.45 % --inst_learning_start 3000
% 0.22/0.45 % --inst_learning_factor 2
% 0.22/0.45 % --inst_start_prop_sim_after_learn 3
% 0.22/0.45 % --inst_sel_renew solver
% 0.22/0.45 % --inst_lit_activity_flag true
% 0.22/0.45 % --inst_out_proof true
% 0.22/0.45
% 0.22/0.45 % ------ Resolution Options
% 0.22/0.45
% 0.22/0.45 % --resolution_flag true
% 0.22/0.45 % --res_lit_sel kbo_max
% 0.22/0.45 % --res_to_prop_solver none
% 0.22/0.45 % --res_prop_simpl_new false
% 0.22/0.45 % --res_prop_simpl_given false
% 0.22/0.45 % --res_passive_queue_type priority_queues
% 0.22/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.45 % --res_passive_queues_freq [15;5]
% 0.22/0.45 % --res_forward_subs full
% 0.22/0.45 % --res_backward_subs full
% 0.22/0.45 % --res_forward_subs_resolution true
% 0.22/0.45 % --res_backward_subs_resolution true
% 0.22/0.45 % --res_orphan_elimination false
% 0.22/0.45 % --res_time_limit 1000.
% 0.22/0.45 % --res_out_proof true
% 0.22/0.45 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_ba7244.s
% 0.22/0.45 % --modulo true
% 0.22/0.45
% 0.22/0.45 % ------ Combination Options
% 0.22/0.45
% 0.22/0.45 % --comb_res_mult 1000
% 0.22/0.45 % --comb_inst_mult 300
% 0.22/0.45 % ------
% 0.22/0.45
% 0.22/0.45 % ------ Parsing...% successful
% 0.22/0.45
% 0.22/0.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.22/0.45
% 0.22/0.45 % ------ Proving...
% 0.22/0.45 % ------ Problem Properties
% 0.22/0.45
% 0.22/0.45 %
% 0.22/0.45 % EPR true
% 0.22/0.45 % Horn false
% 0.22/0.45 % Has equality false
% 0.22/0.45
% 0.22/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % % ------ Current options:
% 0.22/0.45
% 0.22/0.45 % ------ Input Options
% 0.22/0.45
% 0.22/0.45 % --out_options all
% 0.22/0.45 % --tptp_safe_out true
% 0.22/0.45 % --problem_path ""
% 0.22/0.45 % --include_path ""
% 0.22/0.45 % --clausifier .//eprover
% 0.22/0.45 % --clausifier_options --tstp-format
% 0.22/0.45 % --stdin false
% 0.22/0.45 % --dbg_backtrace false
% 0.22/0.45 % --dbg_dump_prop_clauses false
% 0.22/0.45 % --dbg_dump_prop_clauses_file -
% 0.22/0.45 % --dbg_out_stat false
% 0.22/0.45
% 0.22/0.45 % ------ General Options
% 0.22/0.45
% 0.22/0.45 % --fof false
% 0.22/0.45 % --time_out_real 150.
% 0.22/0.45 % --time_out_prep_mult 0.2
% 0.22/0.45 % --time_out_virtual -1.
% 0.22/0.45 % --schedule none
% 0.22/0.45 % --ground_splitting input
% 0.22/0.45 % --splitting_nvd 16
% 0.22/0.45 % --non_eq_to_eq false
% 0.22/0.45 % --prep_gs_sim true
% 0.22/0.45 % --prep_unflatten false
% 0.22/0.45 % --prep_res_sim true
% 0.22/0.45 % --prep_upred true
% 0.22/0.45 % --res_sim_input true
% 0.22/0.45 % --clause_weak_htbl true
% 0.22/0.45 % --gc_record_bc_elim false
% 0.22/0.45 % --symbol_type_check false
% 0.22/0.45 % --clausify_out false
% 0.22/0.45 % --large_theory_mode false
% 0.22/0.45 % --prep_sem_filter none
% 0.22/0.45 % --prep_sem_filter_out false
% 0.22/0.45 % --preprocessed_out false
% 0.22/0.45 % --sub_typing false
% 0.22/0.45 % --brand_transform false
% 0.22/0.45 % --pure_diseq_elim true
% 0.22/0.45 % --min_unsat_core false
% 0.22/0.45 % --pred_elim true
% 0.22/0.45 % --add_important_lit false
% 0.22/0.45 % --soft_assumptions false
% 0.22/0.45 % --reset_solvers false
% 0.22/0.45 % --bc_imp_inh []
% 0.22/0.45 % --conj_cone_tolerance 1.5
% 0.22/0.45 % --prolific_symb_bound 500
% 0.22/0.45 % --lt_threshold 2000
% 0.22/0.46
% 0.22/0.46 % ------ SAT Options
% 0.22/0.46
% 0.22/0.46 % --sat_mode false
% 0.22/0.46 % --sat_fm_restart_options ""
% 0.22/0.46 % --sat_gr_def false
% 0.22/0.46 % --sat_epr_types true
% 0.22/0.46 % --sat_non_cyclic_types false
% 0.22/0.46 % --sat_finite_models false
% 0.22/0.46 % --sat_fm_lemmas false
% 0.22/0.46 % --sat_fm_prep false
% 0.22/0.46 % --sat_fm_uc_incr true
% 0.22/0.46 % --sat_out_model small
% 0.22/0.46 % --sat_out_clauses false
% 0.22/0.46
% 0.22/0.46 % ------ QBF Options
% 0.22/0.46
% 0.22/0.46 % --qbf_mode false
% 0.22/0.46 % --qbf_elim_univ true
% 0.22/0.46 % --qbf_sk_in true
% 0.22/0.46 % --qbf_pred_elim true
% 0.22/0.46 % --qbf_split 32
% 0.22/0.46
% 0.22/0.46 % ------ BMC1 Options
% 0.22/0.46
% 0.22/0.46 % --bmc1_incremental false
% 0.22/0.46 % --bmc1_axioms reachable_all
% 0.22/0.46 % --bmc1_min_bound 0
% 0.22/0.46 % --bmc1_max_bound -1
% 0.22/0.46 % --bmc1_max_bound_default -1
% 0.22/0.46 % --bmc1_symbol_reachability true
% 0.22/0.46 % --bmc1_property_lemmas false
% 0.22/0.46 % --bmc1_k_induction false
% 0.22/0.46 % --bmc1_non_equiv_states false
% 0.22/0.46 % --bmc1_deadlock false
% 0.22/0.46 % --bmc1_ucm false
% 0.22/0.46 % --bmc1_add_unsat_core none
% 0.22/0.46 % --bmc1_unsat_core_children false
% 0.22/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.46 % --bmc1_out_stat full
% 0.22/0.46 % --bmc1_ground_init false
% 0.22/0.46 % --bmc1_pre_inst_next_state false
% 0.22/0.46 % --bmc1_pre_inst_state false
% 0.22/0.46 % --bmc1_pre_inst_reach_state false
% 0.22/0.46 % --bmc1_out_unsat_core false
% 0.22/0.46 % --bmc1_aig_witness_out false
% 0.22/0.46 % --bmc1_verbose false
% 0.22/0.46 % --bmc1_dump_clauses_tptp false
% 0.22/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.22/0.46 % --bmc1_dump_file -
% 0.22/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.22/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.22/0.46 % --bmc1_ucm_extend_mode 1
% 0.22/0.46 % --bmc1_ucm_init_mode 2
% 0.22/0.46 % --bmc1_ucm_cone_mode none
% 0.22/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.22/0.46 % --bmc1_ucm_relax_model 4
% 0.22/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.22/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.22/0.46 % --bmc1_ucm_layered_model none
% 0.22/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.22/0.46
% 0.22/0.46 % ------ AIG Options
% 0.22/0.46
% 0.22/0.46 % --aig_mode false
% 0.22/0.46
% 0.22/0.46 % ------ Instantiation Options
% 0.22/0.46
% 0.22/0.46 % --instantiation_flag true
% 0.22/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.46 % --inst_solver_per_active 750
% 0.22/0.46 % --inst_solver_calls_frac 0.5
% 0.22/0.46 % --inst_passive_queue_type priority_queues
% 0.22/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.46 % --inst_passive_queues_freq [25;2]
% 0.22/0.46 % --inst_dismatching true
% 0.22/0.46 % --inst_eager_unprocessed_to_passive true
% 0.22/0.46 % --inst_prop_sim_given true
% 5.69/5.87 % --inst_prop_sim_new false
% 5.69/5.87 % --inst_orphan_elimination true
% 5.69/5.87 % --inst_learning_loop_flag true
% 5.69/5.87 % --inst_learning_start 3000
% 5.69/5.87 % --inst_learning_factor 2
% 5.69/5.87 % --inst_start_prop_sim_after_learn 3
% 5.69/5.87 % --inst_sel_renew solver
% 5.69/5.87 % --inst_lit_activity_flag true
% 5.69/5.87 % --inst_out_proof true
% 5.69/5.87
% 5.69/5.87 % ------ Resolution Options
% 5.69/5.87
% 5.69/5.87 % --resolution_flag true
% 5.69/5.87 % --res_lit_sel kbo_max
% 5.69/5.87 % --res_to_prop_solver none
% 5.69/5.87 % --res_prop_simpl_new false
% 5.69/5.87 % --res_prop_simpl_given false
% 5.69/5.87 % --res_passive_queue_type priority_queues
% 5.69/5.87 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.69/5.87 % --res_passive_queues_freq [15;5]
% 5.69/5.87 % --res_forward_subs full
% 5.69/5.87 % --res_backward_subs full
% 5.69/5.87 % --res_forward_subs_resolution true
% 5.69/5.87 % --res_backward_subs_resolution true
% 5.69/5.87 % --res_orphan_elimination false
% 5.69/5.87 % --res_time_limit 1000.
% 5.69/5.87 % --res_out_proof true
% 5.69/5.87 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_ba7244.s
% 5.69/5.87 % --modulo true
% 5.69/5.87
% 5.69/5.87 % ------ Combination Options
% 5.69/5.87
% 5.69/5.87 % --comb_res_mult 1000
% 5.69/5.87 % --comb_inst_mult 300
% 5.69/5.87 % ------
% 5.69/5.87
% 5.69/5.87
% 5.69/5.87
% 5.69/5.87 % ------ Proving...
% 5.69/5.87 %
% 5.69/5.87
% 5.69/5.87
% 5.69/5.87 % ------ Statistics
% 5.69/5.87
% 5.69/5.87 % ------ General
% 5.69/5.87
% 5.69/5.87 % num_of_input_clauses: 47
% 5.69/5.87 % num_of_input_neg_conjectures: 3
% 5.69/5.87 % num_of_splits: 0
% 5.69/5.87 % num_of_split_atoms: 0
% 5.69/5.87 % num_of_sem_filtered_clauses: 0
% 5.69/5.87 % num_of_subtypes: 0
% 5.69/5.87 % monotx_restored_types: 0
% 5.69/5.87 % sat_num_of_epr_types: 0
% 5.69/5.87 % sat_num_of_non_cyclic_types: 0
% 5.69/5.87 % sat_guarded_non_collapsed_types: 0
% 5.69/5.87 % is_epr: 1
% 5.69/5.87 % is_horn: 0
% 5.69/5.87 % has_eq: 0
% 5.69/5.87 % num_pure_diseq_elim: 0
% 5.69/5.87 % simp_replaced_by: 0
% 5.69/5.87 % res_preprocessed: 6
% 5.69/5.87 % prep_upred: 0
% 5.69/5.87 % prep_unflattend: 0
% 5.69/5.87 % pred_elim_cands: 0
% 5.69/5.87 % pred_elim: 0
% 5.69/5.87 % pred_elim_cl: 0
% 5.69/5.87 % pred_elim_cycles: 0
% 5.69/5.87 % forced_gc_time: 0
% 5.69/5.87 % gc_basic_clause_elim: 0
% 5.69/5.87 % parsing_time: 0.002
% 5.69/5.87 % sem_filter_time: 0.
% 5.69/5.87 % pred_elim_time: 0.
% 5.69/5.87 % out_proof_time: 0.002
% 5.69/5.87 % monotx_time: 0.
% 5.69/5.87 % subtype_inf_time: 0.
% 5.69/5.87 % unif_index_cands_time: 0.011
% 5.69/5.87 % unif_index_add_time: 0.002
% 5.69/5.87 % total_time: 5.434
% 5.69/5.87 % num_of_symbols: 32
% 5.69/5.87 % num_of_terms: 1297
% 5.69/5.87
% 5.69/5.87 % ------ Propositional Solver
% 5.69/5.87
% 5.69/5.87 % prop_solver_calls: 8
% 5.69/5.87 % prop_fast_solver_calls: 27
% 5.69/5.87 % prop_num_of_clauses: 817
% 5.69/5.87 % prop_preprocess_simplified: 1503
% 5.69/5.87 % prop_fo_subsumed: 0
% 5.69/5.87 % prop_solver_time: 0.
% 5.69/5.87 % prop_fast_solver_time: 0.
% 5.69/5.87 % prop_unsat_core_time: 0.
% 5.69/5.87
% 5.69/5.87 % ------ QBF
% 5.69/5.87
% 5.69/5.87 % qbf_q_res: 0
% 5.69/5.87 % qbf_num_tautologies: 0
% 5.69/5.87 % qbf_prep_cycles: 0
% 5.69/5.87
% 5.69/5.87 % ------ BMC1
% 5.69/5.87
% 5.69/5.87 % bmc1_current_bound: -1
% 5.69/5.87 % bmc1_last_solved_bound: -1
% 5.69/5.87 % bmc1_unsat_core_size: -1
% 5.69/5.87 % bmc1_unsat_core_parents_size: -1
% 5.69/5.87 % bmc1_merge_next_fun: 0
% 5.69/5.87 % bmc1_unsat_core_clauses_time: 0.
% 5.69/5.87
% 5.69/5.87 % ------ Instantiation
% 5.69/5.87
% 5.69/5.87 % inst_num_of_clauses: 657
% 5.69/5.87 % inst_num_in_passive: 145
% 5.69/5.87 % inst_num_in_active: 275
% 5.69/5.87 % inst_num_in_unprocessed: 233
% 5.69/5.87 % inst_num_of_loops: 282
% 5.69/5.87 % inst_num_of_learning_restarts: 0
% 5.69/5.87 % inst_num_moves_active_passive: 1
% 5.69/5.87 % inst_lit_activity: 256
% 5.69/5.87 % inst_lit_activity_moves: 0
% 5.69/5.87 % inst_num_tautologies: 4
% 5.69/5.87 % inst_num_prop_implied: 0
% 5.69/5.87 % inst_num_existing_simplified: 0
% 5.69/5.87 % inst_num_eq_res_simplified: 0
% 5.69/5.87 % inst_num_child_elim: 0
% 5.69/5.87 % inst_num_of_dismatching_blockings: 530
% 5.69/5.87 % inst_num_of_non_proper_insts: 1619
% 5.69/5.87 % inst_num_of_duplicates: 694
% 5.69/5.87 % inst_inst_num_from_inst_to_res: 0
% 5.69/5.87 % inst_dismatching_checking_time: 0.
% 5.69/5.87
% 5.69/5.87 % ------ Resolution
% 5.69/5.87
% 5.69/5.87 % res_num_of_clauses: 63464
% 5.69/5.87 % res_num_in_passive: 63163
% 5.69/5.87 % res_num_in_active: 861
% 5.69/5.87 % res_num_of_loops: 1000
% 5.69/5.87 % res_forward_subset_subsumed: 17377
% 5.69/5.87 % res_backward_subset_subsumed: 626
% 5.69/5.87 % res_forward_subsumed: 133
% 5.69/5.87 % res_backward_subsumed: 11
% 5.69/5.87 % res_forward_subsumption_resolution: 55
% 5.69/5.87 % res_backward_subsumption_resolution: 1
% 5.69/5.87 % res_clause_to_clause_subsumption: 245431
% 5.69/5.87 % res_orphan_elimination: 0
% 5.69/5.87 % res_tautology_del: 10383
% 5.69/5.87 % res_num_eq_res_simplified: 0
% 5.69/5.87 % res_num_sel_changes: 0
% 5.69/5.87 % res_moves_from_active_to_pass: 0
% 5.69/5.87
% 5.69/5.87 % Status Unsatisfiable
% 5.69/5.87 % SZS status Unsatisfiable
% 5.69/5.87 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------