TSTP Solution File: GRP124-1.004 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GRP124-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n008.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 09:44:51 EDT 2022
% Result : Unsatisfiable 16.00s 16.23s
% Output : CNFRefutation 16.00s
% 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(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_1_002,axiom,
! [X1,X2,X3,X4] :
( ~ product(X3,X2,X4)
| ~ product(X3,X2,X1)
| equalish(X4,X1) ),
file('<stdin>',product_total_function2) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3,X4] :
( ~ product(X3,X4,X2)
| ~ product(X3,X1,X2)
| equalish(X4,X1) ),
file('<stdin>',product_right_cancellation) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3,X4] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X4,X1) ),
file('<stdin>',product_left_cancellation) ).
fof(c_0_4_005,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_0]) ).
fof(c_0_5_006,plain,
! [X1,X2,X3,X4] :
( ~ product(X3,X2,X4)
| ~ product(X3,X2,X1)
| equalish(X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_6_007,plain,
! [X1,X2,X3,X4] :
( ~ product(X3,X4,X2)
| ~ product(X3,X1,X2)
| equalish(X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_7_008,plain,
! [X1,X2,X3,X4] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_8_009,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_4]) ).
fof(c_0_9_010,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X6,X8)
| ~ product(X7,X6,X5)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
fof(c_0_10_011,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X8,X6)
| ~ product(X7,X5,X6)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_11_012,plain,
! [X5,X6,X7,X8] :
( ~ product(X8,X6,X7)
| ~ product(X5,X6,X7)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
cnf(c_0_12_013,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_8]) ).
cnf(c_0_13_014,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14_015,plain,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15_016,plain,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16_017,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_12,
[final] ).
cnf(c_0_17_018,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
c_0_13,
[final] ).
cnf(c_0_18_019,plain,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
c_0_14,
[final] ).
cnf(c_0_19_020,plain,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
c_0_15,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_17_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_17]) ).
cnf(c_0_17_1,axiom,
( ~ product(X3,X4,X2)
| equalish(X1,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_17]) ).
cnf(c_0_17_2,axiom,
( ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_17]) ).
cnf(c_0_18_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_1,axiom,
( ~ product(X3,X2,X4)
| equalish(X1,X2)
| ~ product(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_18_2,axiom,
( ~ product(X3,X1,X4)
| ~ product(X3,X2,X4)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_18]) ).
cnf(c_0_19_0,axiom,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_1,axiom,
( ~ product(X2,X3,X4)
| equalish(X1,X2)
| ~ product(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
cnf(c_0_19_2,axiom,
( ~ product(X1,X3,X4)
| ~ product(X2,X3,X4)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_19]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_021,negated_conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ~ product(X6,X4,X2)
| ~ product(X5,X3,X2)
| ~ product(X1,X6,X4)
| ~ product(X1,X5,X3)
| equalish(X4,X3) ),
file('<stdin>',qg2_2) ).
fof(c_0_1_022,negated_conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ~ product(X6,X4,X2)
| ~ product(X5,X3,X2)
| ~ product(X1,X6,X4)
| ~ product(X1,X5,X3)
| equalish(X6,X5) ),
file('<stdin>',qg2_1) ).
fof(c_0_2_023,negated_conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ~ product(X6,X4,X2)
| ~ product(X5,X3,X2)
| ~ product(X1,X6,X4)
| ~ product(X1,X5,X3)
| equalish(X4,X3) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_3_024,negated_conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ~ product(X6,X4,X2)
| ~ product(X5,X3,X2)
| ~ product(X1,X6,X4)
| ~ product(X1,X5,X3)
| equalish(X6,X5) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_4_025,negated_conjecture,
! [X7,X8,X9,X10,X11,X12] :
( ~ product(X12,X10,X8)
| ~ product(X11,X9,X8)
| ~ product(X7,X12,X10)
| ~ product(X7,X11,X9)
| equalish(X10,X9) ),
inference(variable_rename,[status(thm)],[c_0_2]) ).
fof(c_0_5_026,negated_conjecture,
! [X7,X8,X9,X10,X11,X12] :
( ~ product(X12,X10,X8)
| ~ product(X11,X9,X8)
| ~ product(X7,X12,X10)
| ~ product(X7,X11,X9)
| equalish(X12,X11) ),
inference(variable_rename,[status(thm)],[c_0_3]) ).
cnf(c_0_6_027,negated_conjecture,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X5,X1)
| ~ product(X4,X2,X6)
| ~ product(X5,X1,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_028,negated_conjecture,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X5)
| ~ product(X2,X4,X6)
| ~ product(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8_029,negated_conjecture,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X5,X1)
| ~ product(X4,X2,X6)
| ~ product(X5,X1,X6) ),
c_0_6,
[final] ).
cnf(c_0_9_030,negated_conjecture,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X5)
| ~ product(X2,X4,X6)
| ~ product(X1,X5,X6) ),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_12,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_19_0) ).
cnf(c_62,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(copy,[status(esa)],[c_12]) ).
cnf(c_38336,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_38718,plain,
( ~ product(e_3,X0,e_4)
| ~ product(e_1,X0,e_4)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_38336]) ).
cnf(c_214356,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_4)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_38718]) ).
cnf(c_38356,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_39396,plain,
( ~ product(e_4,X0,e_1)
| ~ product(e_3,X0,e_1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_38356]) ).
cnf(c_122043,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_39396]) ).
cnf(c_32,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X1,X4) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_8) ).
cnf(c_36,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X1,X4) ),
inference(copy,[status(esa)],[c_32]) ).
cnf(c_44,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X1,X4) ),
inference(copy,[status(esa)],[c_36]) ).
cnf(c_47,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X1,X4) ),
inference(copy,[status(esa)],[c_44]) ).
cnf(c_48,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X1,X4) ),
inference(copy,[status(esa)],[c_47]) ).
cnf(c_82,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X1,X4) ),
inference(copy,[status(esa)],[c_48]) ).
cnf(c_38085,plain,
( ~ product(X0,e_4,X1)
| ~ product(X2,e_1,X1)
| ~ product(X3,X0,e_4)
| ~ product(X3,X2,e_1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_38127,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X1,e_1,e_4)
| ~ product(X0,X1,e_1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_38085]) ).
cnf(c_38637,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_3,e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_38127]) ).
cnf(c_121804,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_38637]) ).
cnf(c_38352,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_121731,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_38352]) ).
cnf(c_33,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_9) ).
cnf(c_38,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
inference(copy,[status(esa)],[c_33]) ).
cnf(c_45,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
inference(copy,[status(esa)],[c_38]) ).
cnf(c_46,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
inference(copy,[status(esa)],[c_45]) ).
cnf(c_49,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
inference(copy,[status(esa)],[c_46]) ).
cnf(c_83,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
inference(copy,[status(esa)],[c_49]) ).
cnf(c_38099,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_1,X2,X1)
| ~ product(X3,e_3,X0)
| ~ product(X3,e_1,X2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_38449,plain,
( ~ product(e_3,X0,e_1)
| ~ product(e_1,X1,e_1)
| ~ product(X2,e_3,X0)
| ~ product(X2,e_1,X1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_38099]) ).
cnf(c_39422,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,X0,e_1)
| ~ product(X1,e_3,e_2)
| ~ product(X1,e_1,X0)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_38449]) ).
cnf(c_39425,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_39422]) ).
cnf(c_38097,plain,
( ~ product(X0,e_4,X1)
| ~ product(X2,e_2,X1)
| ~ product(X3,X0,e_4)
| ~ product(X3,X2,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_38126,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X1,e_2,e_4)
| ~ product(X0,X1,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_38097]) ).
cnf(c_38228,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,X0,e_2)
| ~ product(X0,e_2,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_38126]) ).
cnf(c_39405,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_38228]) ).
cnf(c_39400,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_38356]) ).
cnf(c_38350,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_39276,plain,
( ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_38350]) ).
cnf(c_39259,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_1,e_2,e_3)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_38352]) ).
cnf(c_9,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_18_0) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(copy,[status(esa)],[c_9]) ).
cnf(c_38294,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_39001,plain,
( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_38294]) ).
cnf(c_39014,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_39001]) ).
cnf(c_38344,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_38943,plain,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_38344]) ).
cnf(c_38342,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_38934,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_38342]) ).
cnf(c_38716,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_38336]) ).
cnf(c_38334,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_38710,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_1,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_38334]) ).
cnf(c_0,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_16_0) ).
cnf(c_50,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4) ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_38453,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_50]) ).
cnf(c_38658,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(instantiation,[status(thm)],[c_38453]) ).
cnf(c_38439,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_50]) ).
cnf(c_38594,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_38439]) ).
cnf(c_38573,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_38439]) ).
cnf(c_38462,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_38453]) ).
cnf(c_38447,plain,
( product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(e_3)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_38452,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_38447]) ).
cnf(c_38444,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_38439]) ).
cnf(c_38433,plain,
( product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(e_4)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_38434,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_38433]) ).
cnf(c_38296,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_38411,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_3,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_38296]) ).
cnf(c_38290,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_2,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_38405,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_2,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_38290]) ).
cnf(c_38288,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_38403,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_2,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_38288]) ).
cnf(c_38284,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_38399,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_1,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_38284]) ).
cnf(c_38282,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_38397,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_38282]) ).
cnf(c_38105,plain,
( ~ product(X0,e_3,X1)
| ~ product(X2,e_2,X1)
| ~ product(X3,X0,e_3)
| ~ product(X3,X2,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_38215,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X1,e_2,e_3)
| ~ product(X0,X1,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_38105]) ).
cnf(c_38360,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,X0,e_2)
| ~ product(X0,e_2,e_3)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_38215]) ).
cnf(c_38361,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_3)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_38360]) ).
cnf(c_38338,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_38339,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_38338]) ).
cnf(c_38337,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_38336]) ).
cnf(c_38283,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_38282]) ).
cnf(c_38280,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_38281,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_38280]) ).
cnf(c_38109,plain,
( ~ product(X0,e_4,X1)
| ~ product(X2,e_3,X1)
| ~ product(X3,X0,e_4)
| ~ product(X3,X2,e_3)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_38125,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X1,e_3,e_4)
| ~ product(X0,X1,e_3)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_38109]) ).
cnf(c_38225,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_38125]) ).
cnf(c_38226,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_38225]) ).
cnf(c_31,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_68_0) ).
cnf(c_81,plain,
product(X0,X0,X0),
inference(copy,[status(esa)],[c_31]) ).
cnf(c_38139,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_38133,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_38123,plain,
product(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_15,plain,
group_element(e_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_84_0) ).
cnf(c_16,plain,
group_element(e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_83_0) ).
cnf(c_17,plain,
group_element(e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_82_0) ).
cnf(c_18,plain,
group_element(e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_81_0) ).
cnf(c_19,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_80_0) ).
cnf(c_20,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_79_0) ).
cnf(c_21,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_78_0) ).
cnf(c_23,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_76_0) ).
cnf(c_24,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_75_0) ).
cnf(c_25,plain,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_74_0) ).
cnf(c_26,plain,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_73_0) ).
cnf(c_27,plain,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_72_0) ).
cnf(c_28,plain,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_71_0) ).
cnf(c_30,plain,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_7df456.p',c_0_69_0) ).
cnf(c_35,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_31]) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_214356,c_122043,c_121804,c_121731,c_39425,c_39405,c_39400,c_39276,c_39259,c_39014,c_38943,c_38934,c_38716,c_38710,c_38658,c_38594,c_38573,c_38462,c_38452,c_38444,c_38434,c_38411,c_38405,c_38403,c_38399,c_38397,c_38361,c_38339,c_38337,c_38283,c_38281,c_38226,c_38139,c_38133,c_38123,c_15,c_16,c_17,c_18,c_19,c_20,c_21,c_23,c_24,c_25,c_26,c_27,c_28,c_30,c_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP124-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n008.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 Jun 13 22:06:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.12/0.39 % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.39 % Orientation found
% 0.12/0.39 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f457f4.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_7df456.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_1c9565 | grep -v "SZS"
% 0.19/0.42
% 0.19/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ iProver source info
% 0.19/0.42
% 0.19/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42 % git: non_committed_changes: true
% 0.19/0.42 % git: last_make_outside_of_git: true
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ Input Options
% 0.19/0.42
% 0.19/0.42 % --out_options all
% 0.19/0.42 % --tptp_safe_out true
% 0.19/0.42 % --problem_path ""
% 0.19/0.42 % --include_path ""
% 0.19/0.42 % --clausifier .//eprover
% 0.19/0.42 % --clausifier_options --tstp-format
% 0.19/0.42 % --stdin false
% 0.19/0.42 % --dbg_backtrace false
% 0.19/0.42 % --dbg_dump_prop_clauses false
% 0.19/0.42 % --dbg_dump_prop_clauses_file -
% 0.19/0.42 % --dbg_out_stat false
% 0.19/0.42
% 0.19/0.42 % ------ General Options
% 0.19/0.42
% 0.19/0.42 % --fof false
% 0.19/0.42 % --time_out_real 150.
% 0.19/0.42 % --time_out_prep_mult 0.2
% 0.19/0.42 % --time_out_virtual -1.
% 0.19/0.42 % --schedule none
% 0.19/0.42 % --ground_splitting input
% 0.19/0.42 % --splitting_nvd 16
% 0.19/0.42 % --non_eq_to_eq false
% 0.19/0.42 % --prep_gs_sim true
% 0.19/0.42 % --prep_unflatten false
% 0.19/0.42 % --prep_res_sim true
% 0.19/0.42 % --prep_upred true
% 0.19/0.42 % --res_sim_input true
% 0.19/0.42 % --clause_weak_htbl true
% 0.19/0.42 % --gc_record_bc_elim false
% 0.19/0.42 % --symbol_type_check false
% 0.19/0.42 % --clausify_out false
% 0.19/0.42 % --large_theory_mode false
% 0.19/0.42 % --prep_sem_filter none
% 0.19/0.42 % --prep_sem_filter_out false
% 0.19/0.42 % --preprocessed_out false
% 0.19/0.42 % --sub_typing false
% 0.19/0.42 % --brand_transform false
% 0.19/0.42 % --pure_diseq_elim true
% 0.19/0.42 % --min_unsat_core false
% 0.19/0.42 % --pred_elim true
% 0.19/0.42 % --add_important_lit false
% 0.19/0.42 % --soft_assumptions false
% 0.19/0.42 % --reset_solvers false
% 0.19/0.42 % --bc_imp_inh []
% 0.19/0.42 % --conj_cone_tolerance 1.5
% 0.19/0.42 % --prolific_symb_bound 500
% 0.19/0.42 % --lt_threshold 2000
% 0.19/0.42
% 0.19/0.42 % ------ SAT Options
% 0.19/0.42
% 0.19/0.42 % --sat_mode false
% 0.19/0.42 % --sat_fm_restart_options ""
% 0.19/0.42 % --sat_gr_def false
% 0.19/0.42 % --sat_epr_types true
% 0.19/0.42 % --sat_non_cyclic_types false
% 0.19/0.42 % --sat_finite_models false
% 0.19/0.42 % --sat_fm_lemmas false
% 0.19/0.42 % --sat_fm_prep false
% 0.19/0.42 % --sat_fm_uc_incr true
% 0.19/0.42 % --sat_out_model small
% 0.19/0.42 % --sat_out_clauses false
% 0.19/0.42
% 0.19/0.42 % ------ QBF Options
% 0.19/0.42
% 0.19/0.42 % --qbf_mode false
% 0.19/0.42 % --qbf_elim_univ true
% 0.19/0.42 % --qbf_sk_in true
% 0.19/0.42 % --qbf_pred_elim true
% 0.19/0.42 % --qbf_split 32
% 0.19/0.42
% 0.19/0.42 % ------ BMC1 Options
% 0.19/0.42
% 0.19/0.42 % --bmc1_incremental false
% 0.19/0.42 % --bmc1_axioms reachable_all
% 0.19/0.42 % --bmc1_min_bound 0
% 0.19/0.42 % --bmc1_max_bound -1
% 0.19/0.42 % --bmc1_max_bound_default -1
% 0.19/0.42 % --bmc1_symbol_reachability true
% 0.19/0.42 % --bmc1_property_lemmas false
% 0.19/0.42 % --bmc1_k_induction false
% 0.19/0.42 % --bmc1_non_equiv_states false
% 0.19/0.42 % --bmc1_deadlock false
% 0.19/0.42 % --bmc1_ucm false
% 0.19/0.42 % --bmc1_add_unsat_core none
% 0.19/0.42 % --bmc1_unsat_core_children false
% 0.19/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.42 % --bmc1_out_stat full
% 0.19/0.42 % --bmc1_ground_init false
% 0.19/0.42 % --bmc1_pre_inst_next_state false
% 0.19/0.42 % --bmc1_pre_inst_state false
% 0.19/0.42 % --bmc1_pre_inst_reach_state false
% 0.19/0.42 % --bmc1_out_unsat_core false
% 0.19/0.42 % --bmc1_aig_witness_out false
% 0.19/0.42 % --bmc1_verbose false
% 0.19/0.42 % --bmc1_dump_clauses_tptp false
% 0.19/0.42 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.42 % --bmc1_dump_file -
% 0.19/0.42 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.42 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.42 % --bmc1_ucm_extend_mode 1
% 0.19/0.42 % --bmc1_ucm_init_mode 2
% 0.19/0.42 % --bmc1_ucm_cone_mode none
% 0.19/0.42 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.42 % --bmc1_ucm_relax_model 4
% 0.19/0.42 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.42 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.42 % --bmc1_ucm_layered_model none
% 0.19/0.42 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.42
% 0.19/0.42 % ------ AIG Options
% 0.19/0.42
% 0.19/0.42 % --aig_mode false
% 0.19/0.42
% 0.19/0.42 % ------ Instantiation Options
% 0.19/0.42
% 0.19/0.42 % --instantiation_flag true
% 0.19/0.42 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.42 % --inst_solver_per_active 750
% 0.19/0.42 % --inst_solver_calls_frac 0.5
% 0.19/0.42 % --inst_passive_queue_type priority_queues
% 0.19/0.42 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.42 % --inst_passive_queues_freq [25;2]
% 0.19/0.42 % --inst_dismatching true
% 0.19/0.42 % --inst_eager_unprocessed_to_passive true
% 0.19/0.42 % --inst_prop_sim_given true
% 0.19/0.42 % --inst_prop_sim_new false
% 0.19/0.42 % --inst_orphan_elimination true
% 0.19/0.42 % --inst_learning_loop_flag true
% 0.19/0.42 % --inst_learning_start 3000
% 0.19/0.42 % --inst_learning_factor 2
% 0.19/0.42 % --inst_start_prop_sim_after_learn 3
% 0.19/0.42 % --inst_sel_renew solver
% 0.19/0.42 % --inst_lit_activity_flag true
% 0.19/0.42 % --inst_out_proof true
% 0.19/0.42
% 0.19/0.42 % ------ Resolution Options
% 0.19/0.42
% 0.19/0.42 % --resolution_flag true
% 0.19/0.42 % --res_lit_sel kbo_max
% 0.19/0.42 % --res_to_prop_solver none
% 0.19/0.42 % --res_prop_simpl_new false
% 0.19/0.42 % --res_prop_simpl_given false
% 0.19/0.42 % --res_passive_queue_type priority_queues
% 0.19/0.42 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.42 % --res_passive_queues_freq [15;5]
% 0.19/0.42 % --res_forward_subs full
% 0.19/0.42 % --res_backward_subs full
% 0.19/0.42 % --res_forward_subs_resolution true
% 0.19/0.42 % --res_backward_subs_resolution true
% 0.19/0.42 % --res_orphan_elimination false
% 0.19/0.42 % --res_time_limit 1000.
% 0.19/0.42 % --res_out_proof true
% 0.19/0.42 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f457f4.s
% 0.19/0.42 % --modulo true
% 0.19/0.42
% 0.19/0.42 % ------ Combination Options
% 0.19/0.42
% 0.19/0.42 % --comb_res_mult 1000
% 0.19/0.42 % --comb_inst_mult 300
% 0.19/0.42 % ------
% 0.19/0.42
% 0.19/0.42 % ------ Parsing...% successful
% 0.19/0.42
% 0.19/0.42 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.19/0.42
% 0.19/0.42 % ------ Proving...
% 0.19/0.42 % ------ Problem Properties
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % EPR true
% 0.19/0.42 % Horn false
% 0.19/0.42 % Has equality false
% 0.19/0.42
% 0.19/0.42 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % % ------ Current options:
% 0.19/0.42
% 0.19/0.42 % ------ Input Options
% 0.19/0.42
% 0.19/0.42 % --out_options all
% 0.19/0.42 % --tptp_safe_out true
% 0.19/0.42 % --problem_path ""
% 0.19/0.42 % --include_path ""
% 0.19/0.42 % --clausifier .//eprover
% 0.19/0.42 % --clausifier_options --tstp-format
% 0.19/0.42 % --stdin false
% 0.19/0.42 % --dbg_backtrace false
% 0.19/0.42 % --dbg_dump_prop_clauses false
% 0.19/0.42 % --dbg_dump_prop_clauses_file -
% 0.19/0.42 % --dbg_out_stat false
% 0.19/0.42
% 0.19/0.42 % ------ General Options
% 0.19/0.42
% 0.19/0.42 % --fof false
% 0.19/0.42 % --time_out_real 150.
% 0.19/0.42 % --time_out_prep_mult 0.2
% 0.19/0.42 % --time_out_virtual -1.
% 0.19/0.42 % --schedule none
% 0.19/0.42 % --ground_splitting input
% 0.19/0.42 % --splitting_nvd 16
% 0.19/0.42 % --non_eq_to_eq false
% 0.19/0.42 % --prep_gs_sim true
% 0.19/0.42 % --prep_unflatten false
% 0.19/0.42 % --prep_res_sim true
% 0.19/0.42 % --prep_upred true
% 0.19/0.42 % --res_sim_input true
% 0.19/0.42 % --clause_weak_htbl true
% 0.19/0.42 % --gc_record_bc_elim false
% 0.19/0.42 % --symbol_type_check false
% 0.19/0.42 % --clausify_out false
% 0.19/0.42 % --large_theory_mode false
% 0.19/0.42 % --prep_sem_filter none
% 0.19/0.42 % --prep_sem_filter_out false
% 0.19/0.42 % --preprocessed_out false
% 0.19/0.42 % --sub_typing false
% 0.19/0.42 % --brand_transform false
% 0.19/0.42 % --pure_diseq_elim true
% 0.19/0.42 % --min_unsat_core false
% 0.19/0.42 % --pred_elim true
% 0.19/0.42 % --add_important_lit false
% 0.19/0.42 % --soft_assumptions false
% 0.19/0.42 % --reset_solvers false
% 0.19/0.42 % --bc_imp_inh []
% 0.19/0.42 % --conj_cone_tolerance 1.5
% 0.19/0.42 % --prolific_symb_bound 500
% 0.19/0.42 % --lt_threshold 2000
% 0.19/0.42
% 0.19/0.42 % ------ SAT Options
% 0.19/0.42
% 0.19/0.42 % --sat_mode false
% 0.19/0.42 % --sat_fm_restart_options ""
% 0.19/0.42 % --sat_gr_def false
% 0.19/0.42 % --sat_epr_types true
% 0.19/0.42 % --sat_non_cyclic_types false
% 0.19/0.42 % --sat_finite_models false
% 0.19/0.42 % --sat_fm_lemmas false
% 0.19/0.42 % --sat_fm_prep false
% 0.19/0.42 % --sat_fm_uc_incr true
% 0.19/0.42 % --sat_out_model small
% 0.19/0.42 % --sat_out_clauses false
% 0.19/0.42
% 0.19/0.42 % ------ QBF Options
% 0.19/0.42
% 0.19/0.42 % --qbf_mode false
% 0.19/0.42 % --qbf_elim_univ true
% 0.19/0.42 % --qbf_sk_in true
% 0.19/0.42 % --qbf_pred_elim true
% 0.19/0.42 % --qbf_split 32
% 0.19/0.42
% 0.19/0.42 % ------ BMC1 Options
% 0.19/0.42
% 0.19/0.42 % --bmc1_incremental false
% 0.19/0.42 % --bmc1_axioms reachable_all
% 0.19/0.42 % --bmc1_min_bound 0
% 0.19/0.42 % --bmc1_max_bound -1
% 0.19/0.42 % --bmc1_max_bound_default -1
% 0.19/0.42 % --bmc1_symbol_reachability true
% 0.19/0.42 % --bmc1_property_lemmas false
% 0.19/0.42 % --bmc1_k_induction false
% 0.19/0.42 % --bmc1_non_equiv_states false
% 0.19/0.42 % --bmc1_deadlock false
% 0.19/0.42 % --bmc1_ucm false
% 0.19/0.42 % --bmc1_add_unsat_core none
% 0.19/0.42 % --bmc1_unsat_core_children false
% 0.19/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.42 % --bmc1_out_stat full
% 0.19/0.42 % --bmc1_ground_init false
% 0.19/0.42 % --bmc1_pre_inst_next_state false
% 0.19/0.42 % --bmc1_pre_inst_state false
% 0.19/0.42 % --bmc1_pre_inst_reach_state false
% 0.19/0.42 % --bmc1_out_unsat_core false
% 0.19/0.42 % --bmc1_aig_witness_out false
% 0.19/0.42 % --bmc1_verbose false
% 0.19/0.42 % --bmc1_dump_clauses_tptp false
% 0.19/0.42 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.42 % --bmc1_dump_file -
% 0.19/0.42 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.42 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.42 % --bmc1_ucm_extend_mode 1
% 0.19/0.42 % --bmc1_ucm_init_mode 2
% 0.19/0.42 % --bmc1_ucm_cone_mode none
% 0.19/0.42 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.42 % --bmc1_ucm_relax_model 4
% 0.19/0.42 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.42 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.42 % --bmc1_ucm_layered_model none
% 0.19/0.42 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.42
% 0.19/0.42 % ------ AIG Options
% 0.19/0.42
% 0.19/0.42 % --aig_mode false
% 0.19/0.42
% 0.19/0.42 % ------ Instantiation Options
% 0.19/0.42
% 0.19/0.42 % --instantiation_flag true
% 0.19/0.42 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.42 % --inst_solver_per_active 750
% 0.19/0.42 % --inst_solver_calls_frac 0.5
% 0.19/0.42 % --inst_passive_queue_type priority_queues
% 0.19/0.42 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.42 % --inst_passive_queues_freq [25;2]
% 0.19/0.42 % --inst_dismatching true
% 0.19/0.42 % --inst_eager_unprocessed_to_passive true
% 0.19/0.42 % --inst_prop_sim_given true
% 16.00/16.23 % --inst_prop_sim_new false
% 16.00/16.23 % --inst_orphan_elimination true
% 16.00/16.23 % --inst_learning_loop_flag true
% 16.00/16.23 % --inst_learning_start 3000
% 16.00/16.23 % --inst_learning_factor 2
% 16.00/16.23 % --inst_start_prop_sim_after_learn 3
% 16.00/16.23 % --inst_sel_renew solver
% 16.00/16.23 % --inst_lit_activity_flag true
% 16.00/16.23 % --inst_out_proof true
% 16.00/16.23
% 16.00/16.23 % ------ Resolution Options
% 16.00/16.23
% 16.00/16.23 % --resolution_flag true
% 16.00/16.23 % --res_lit_sel kbo_max
% 16.00/16.23 % --res_to_prop_solver none
% 16.00/16.23 % --res_prop_simpl_new false
% 16.00/16.23 % --res_prop_simpl_given false
% 16.00/16.23 % --res_passive_queue_type priority_queues
% 16.00/16.23 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 16.00/16.23 % --res_passive_queues_freq [15;5]
% 16.00/16.23 % --res_forward_subs full
% 16.00/16.23 % --res_backward_subs full
% 16.00/16.23 % --res_forward_subs_resolution true
% 16.00/16.23 % --res_backward_subs_resolution true
% 16.00/16.23 % --res_orphan_elimination false
% 16.00/16.23 % --res_time_limit 1000.
% 16.00/16.23 % --res_out_proof true
% 16.00/16.23 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f457f4.s
% 16.00/16.23 % --modulo true
% 16.00/16.23
% 16.00/16.23 % ------ Combination Options
% 16.00/16.23
% 16.00/16.23 % --comb_res_mult 1000
% 16.00/16.23 % --comb_inst_mult 300
% 16.00/16.23 % ------
% 16.00/16.23
% 16.00/16.23
% 16.00/16.23
% 16.00/16.23 % ------ Proving...
% 16.00/16.23 %
% 16.00/16.23
% 16.00/16.23
% 16.00/16.23 % ------ Statistics
% 16.00/16.23
% 16.00/16.23 % ------ General
% 16.00/16.23
% 16.00/16.23 % num_of_input_clauses: 34
% 16.00/16.23 % num_of_input_neg_conjectures: 2
% 16.00/16.23 % num_of_splits: 0
% 16.00/16.23 % num_of_split_atoms: 0
% 16.00/16.23 % num_of_sem_filtered_clauses: 0
% 16.00/16.23 % num_of_subtypes: 0
% 16.00/16.23 % monotx_restored_types: 0
% 16.00/16.23 % sat_num_of_epr_types: 0
% 16.00/16.23 % sat_num_of_non_cyclic_types: 0
% 16.00/16.23 % sat_guarded_non_collapsed_types: 0
% 16.00/16.23 % is_epr: 1
% 16.00/16.23 % is_horn: 0
% 16.00/16.23 % has_eq: 0
% 16.00/16.23 % num_pure_diseq_elim: 0
% 16.00/16.23 % simp_replaced_by: 0
% 16.00/16.23 % res_preprocessed: 4
% 16.00/16.23 % prep_upred: 0
% 16.00/16.23 % prep_unflattend: 0
% 16.00/16.23 % pred_elim_cands: 0
% 16.00/16.23 % pred_elim: 0
% 16.00/16.23 % pred_elim_cl: 0
% 16.00/16.23 % pred_elim_cycles: 0
% 16.00/16.23 % forced_gc_time: 0
% 16.00/16.23 % gc_basic_clause_elim: 0
% 16.00/16.23 % parsing_time: 0.001
% 16.00/16.23 % sem_filter_time: 0.
% 16.00/16.23 % pred_elim_time: 0.
% 16.00/16.23 % out_proof_time: 0.002
% 16.00/16.23 % monotx_time: 0.
% 16.00/16.23 % subtype_inf_time: 0.
% 16.00/16.23 % unif_index_cands_time: 0.007
% 16.00/16.23 % unif_index_add_time: 0.003
% 16.00/16.23 % total_time: 15.826
% 16.00/16.23 % num_of_symbols: 32
% 16.00/16.23 % num_of_terms: 839
% 16.00/16.23
% 16.00/16.23 % ------ Propositional Solver
% 16.00/16.23
% 16.00/16.23 % prop_solver_calls: 12
% 16.00/16.23 % prop_fast_solver_calls: 30
% 16.00/16.23 % prop_num_of_clauses: 1467
% 16.00/16.23 % prop_preprocess_simplified: 1863
% 16.00/16.23 % prop_fo_subsumed: 0
% 16.00/16.23 % prop_solver_time: 0.
% 16.00/16.23 % prop_fast_solver_time: 0.
% 16.00/16.23 % prop_unsat_core_time: 0.
% 16.00/16.23
% 16.00/16.23 % ------ QBF
% 16.00/16.23
% 16.00/16.23 % qbf_q_res: 0
% 16.00/16.23 % qbf_num_tautologies: 0
% 16.00/16.23 % qbf_prep_cycles: 0
% 16.00/16.23
% 16.00/16.23 % ------ BMC1
% 16.00/16.23
% 16.00/16.23 % bmc1_current_bound: -1
% 16.00/16.23 % bmc1_last_solved_bound: -1
% 16.00/16.23 % bmc1_unsat_core_size: -1
% 16.00/16.23 % bmc1_unsat_core_parents_size: -1
% 16.00/16.23 % bmc1_merge_next_fun: 0
% 16.00/16.23 % bmc1_unsat_core_clauses_time: 0.
% 16.00/16.23
% 16.00/16.23 % ------ Instantiation
% 16.00/16.23
% 16.00/16.23 % inst_num_of_clauses: 992
% 16.00/16.23 % inst_num_in_passive: 195
% 16.00/16.23 % inst_num_in_active: 788
% 16.00/16.23 % inst_num_in_unprocessed: 9
% 16.00/16.23 % inst_num_of_loops: 917
% 16.00/16.23 % inst_num_of_learning_restarts: 0
% 16.00/16.23 % inst_num_moves_active_passive: 124
% 16.00/16.23 % inst_lit_activity: 108
% 16.00/16.23 % inst_lit_activity_moves: 0
% 16.00/16.23 % inst_num_tautologies: 0
% 16.00/16.23 % inst_num_prop_implied: 0
% 16.00/16.23 % inst_num_existing_simplified: 0
% 16.00/16.23 % inst_num_eq_res_simplified: 0
% 16.00/16.23 % inst_num_child_elim: 0
% 16.00/16.23 % inst_num_of_dismatching_blockings: 380
% 16.00/16.23 % inst_num_of_non_proper_insts: 1136
% 16.00/16.23 % inst_num_of_duplicates: 783
% 16.00/16.23 % inst_inst_num_from_inst_to_res: 0
% 16.00/16.23 % inst_dismatching_checking_time: 0.
% 16.00/16.23
% 16.00/16.23 % ------ Resolution
% 16.00/16.23
% 16.00/16.23 % res_num_of_clauses: 76258
% 16.00/16.23 % res_num_in_passive: 76413
% 16.00/16.23 % res_num_in_active: 1024
% 16.00/16.23 % res_num_of_loops: 4000
% 16.00/16.23 % res_forward_subset_subsumed: 38377
% 16.00/16.23 % res_backward_subset_subsumed: 1349
% 16.00/16.23 % res_forward_subsumed: 2961
% 16.00/16.23 % res_backward_subsumed: 24
% 16.00/16.23 % res_forward_subsumption_resolution: 266
% 16.00/16.23 % res_backward_subsumption_resolution: 0
% 16.00/16.23 % res_clause_to_clause_subsumption: 638906
% 16.00/16.23 % res_orphan_elimination: 0
% 16.00/16.23 % res_tautology_del: 24904
% 16.00/16.23 % res_num_eq_res_simplified: 0
% 16.00/16.23 % res_num_sel_changes: 0
% 16.00/16.23 % res_moves_from_active_to_pass: 0
% 16.00/16.23
% 16.00/16.23 % Status Unsatisfiable
% 16.00/16.23 % SZS status Unsatisfiable
% 16.00/16.23 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------