TSTP Solution File: GRP129-2.004 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GRP129-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n016.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 09:45:10 EDT 2022
% Result : Unsatisfiable 16.53s 16.69s
% Output : CNFRefutation 16.53s
% 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(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]) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
input ).
fof(e_4_greater_e_3_0,plain,
( greater(e_4,e_3)
| $false ),
inference(orientation,[status(thm)],[e_4_greater_e_3]) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
input ).
fof(e_4_greater_e_2_0,plain,
( greater(e_4,e_2)
| $false ),
inference(orientation,[status(thm)],[e_4_greater_e_2]) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
input ).
fof(e_3_greater_e_2_0,plain,
( greater(e_3,e_2)
| $false ),
inference(orientation,[status(thm)],[e_3_greater_e_2]) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
input ).
fof(e_4_greater_e_1_0,plain,
( greater(e_4,e_1)
| $false ),
inference(orientation,[status(thm)],[e_4_greater_e_1]) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
input ).
fof(e_3_greater_e_1_0,plain,
( greater(e_3,e_1)
| $false ),
inference(orientation,[status(thm)],[e_3_greater_e_1]) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
input ).
fof(e_2_greater_e_1_0,plain,
( greater(e_2,e_1)
| $false ),
inference(orientation,[status(thm)],[e_2_greater_e_1]) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
input ).
fof(e_3_then_e_4_0,plain,
( next(e_3,e_4)
| $false ),
inference(orientation,[status(thm)],[e_3_then_e_4]) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
input ).
fof(e_2_then_e_3_0,plain,
( next(e_2,e_3)
| $false ),
inference(orientation,[status(thm)],[e_2_then_e_3]) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
input ).
fof(e_1_then_e_2_0,plain,
( next(e_1,e_2)
| $false ),
inference(orientation,[status(thm)],[e_1_then_e_2]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> next(e_1,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[e_1_then_e_2_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> next(e_2,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[e_2_then_e_3_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> next(e_3,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[e_3_then_e_4_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> greater(e_2,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[e_2_greater_e_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> greater(e_3,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[e_3_greater_e_1_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> greater(e_4,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[e_4_greater_e_1_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> greater(e_3,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[e_3_greater_e_2_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> greater(e_4,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[e_4_greater_e_2_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> greater(e_4,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[e_4_greater_e_3_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> group_element(e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[element_1_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> group_element(e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[element_2_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
( lhs_atom12
<=> group_element(e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[element_3_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
( lhs_atom13
<=> group_element(e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
( lhs_atom13
| $false ),
inference(fold_definition,[status(thm)],[element_4_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
( lhs_atom14
<=> ~ equalish(e_1,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
( lhs_atom14
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_2_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
( lhs_atom15
<=> ~ equalish(e_1,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
( lhs_atom15
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_3_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
( lhs_atom16
<=> ~ equalish(e_1,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
( lhs_atom16
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_4_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
( lhs_atom17
<=> ~ equalish(e_2,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
( lhs_atom17
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_1_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
( lhs_atom18
<=> ~ equalish(e_2,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
( lhs_atom18
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_3_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
( lhs_atom19
<=> ~ equalish(e_2,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
( lhs_atom19
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_4_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
( lhs_atom20
<=> ~ equalish(e_3,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
( lhs_atom20
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_1_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
( lhs_atom21
<=> ~ equalish(e_3,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
( lhs_atom21
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_2_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
( lhs_atom22
<=> ~ equalish(e_3,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
( lhs_atom22
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_4_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
( lhs_atom23
<=> ~ equalish(e_4,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
( lhs_atom23
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_1_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
( lhs_atom24
<=> ~ equalish(e_4,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
( lhs_atom24
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_2_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
( lhs_atom25
<=> ~ equalish(e_4,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
( lhs_atom25
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_3_0,def_lhs_atom25]) ).
% Start CNF derivation
fof(c_0_0,axiom,
( lhs_atom25
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_1,axiom,
( lhs_atom24
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_2,axiom,
( lhs_atom23
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_3,axiom,
( lhs_atom22
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_4,axiom,
( lhs_atom21
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_5,axiom,
( lhs_atom20
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_6,axiom,
( lhs_atom19
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_7,axiom,
( lhs_atom18
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_8,axiom,
( lhs_atom17
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_9,axiom,
( lhs_atom16
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_10,axiom,
( lhs_atom15
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_11,axiom,
( lhs_atom14
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_12,axiom,
( lhs_atom13
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_13,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_14,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_15,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_16,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_17,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_18,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_19,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_20,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_21,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_22,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_23,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_24,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_25,plain,
lhs_atom25,
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_26,plain,
lhs_atom24,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_27,plain,
lhs_atom23,
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_28,plain,
lhs_atom22,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_29,plain,
lhs_atom21,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_30,plain,
lhs_atom20,
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_31,plain,
lhs_atom19,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_32,plain,
lhs_atom18,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_33,plain,
lhs_atom17,
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_34,plain,
lhs_atom16,
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_35,plain,
lhs_atom15,
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_36,plain,
lhs_atom14,
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_37,plain,
lhs_atom13,
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_38,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_39,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_40,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_41,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_42,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_43,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_44,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_45,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_46,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_47,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_48,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_49,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_50,plain,
lhs_atom25,
c_0_25 ).
fof(c_0_51,plain,
lhs_atom24,
c_0_26 ).
fof(c_0_52,plain,
lhs_atom23,
c_0_27 ).
fof(c_0_53,plain,
lhs_atom22,
c_0_28 ).
fof(c_0_54,plain,
lhs_atom21,
c_0_29 ).
fof(c_0_55,plain,
lhs_atom20,
c_0_30 ).
fof(c_0_56,plain,
lhs_atom19,
c_0_31 ).
fof(c_0_57,plain,
lhs_atom18,
c_0_32 ).
fof(c_0_58,plain,
lhs_atom17,
c_0_33 ).
fof(c_0_59,plain,
lhs_atom16,
c_0_34 ).
fof(c_0_60,plain,
lhs_atom15,
c_0_35 ).
fof(c_0_61,plain,
lhs_atom14,
c_0_36 ).
fof(c_0_62,plain,
lhs_atom13,
c_0_37 ).
fof(c_0_63,plain,
lhs_atom12,
c_0_38 ).
fof(c_0_64,plain,
lhs_atom11,
c_0_39 ).
fof(c_0_65,plain,
lhs_atom10,
c_0_40 ).
fof(c_0_66,plain,
lhs_atom9,
c_0_41 ).
fof(c_0_67,plain,
lhs_atom8,
c_0_42 ).
fof(c_0_68,plain,
lhs_atom7,
c_0_43 ).
fof(c_0_69,plain,
lhs_atom6,
c_0_44 ).
fof(c_0_70,plain,
lhs_atom5,
c_0_45 ).
fof(c_0_71,plain,
lhs_atom4,
c_0_46 ).
fof(c_0_72,plain,
lhs_atom3,
c_0_47 ).
fof(c_0_73,plain,
lhs_atom2,
c_0_48 ).
fof(c_0_74,plain,
lhs_atom1,
c_0_49 ).
cnf(c_0_75,plain,
lhs_atom25,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_76,plain,
lhs_atom24,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_77,plain,
lhs_atom23,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_78,plain,
lhs_atom22,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_79,plain,
lhs_atom21,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_80,plain,
lhs_atom20,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_81,plain,
lhs_atom19,
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_82,plain,
lhs_atom18,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_83,plain,
lhs_atom17,
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_84,plain,
lhs_atom16,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_85,plain,
lhs_atom15,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_86,plain,
lhs_atom14,
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_87,plain,
lhs_atom13,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_88,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_89,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_90,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_91,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_92,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_93,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_94,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_95,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_96,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_97,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_98,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_99,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_100,plain,
lhs_atom25,
c_0_75,
[final] ).
cnf(c_0_101,plain,
lhs_atom24,
c_0_76,
[final] ).
cnf(c_0_102,plain,
lhs_atom23,
c_0_77,
[final] ).
cnf(c_0_103,plain,
lhs_atom22,
c_0_78,
[final] ).
cnf(c_0_104,plain,
lhs_atom21,
c_0_79,
[final] ).
cnf(c_0_105,plain,
lhs_atom20,
c_0_80,
[final] ).
cnf(c_0_106,plain,
lhs_atom19,
c_0_81,
[final] ).
cnf(c_0_107,plain,
lhs_atom18,
c_0_82,
[final] ).
cnf(c_0_108,plain,
lhs_atom17,
c_0_83,
[final] ).
cnf(c_0_109,plain,
lhs_atom16,
c_0_84,
[final] ).
cnf(c_0_110,plain,
lhs_atom15,
c_0_85,
[final] ).
cnf(c_0_111,plain,
lhs_atom14,
c_0_86,
[final] ).
cnf(c_0_112,plain,
lhs_atom13,
c_0_87,
[final] ).
cnf(c_0_113,plain,
lhs_atom12,
c_0_88,
[final] ).
cnf(c_0_114,plain,
lhs_atom11,
c_0_89,
[final] ).
cnf(c_0_115,plain,
lhs_atom10,
c_0_90,
[final] ).
cnf(c_0_116,plain,
lhs_atom9,
c_0_91,
[final] ).
cnf(c_0_117,plain,
lhs_atom8,
c_0_92,
[final] ).
cnf(c_0_118,plain,
lhs_atom7,
c_0_93,
[final] ).
cnf(c_0_119,plain,
lhs_atom6,
c_0_94,
[final] ).
cnf(c_0_120,plain,
lhs_atom5,
c_0_95,
[final] ).
cnf(c_0_121,plain,
lhs_atom4,
c_0_96,
[final] ).
cnf(c_0_122,plain,
lhs_atom3,
c_0_97,
[final] ).
cnf(c_0_123,plain,
lhs_atom2,
c_0_98,
[final] ).
cnf(c_0_124,plain,
lhs_atom1,
c_0_99,
[final] ).
% End CNF derivation
cnf(c_0_100_0,axiom,
~ equalish(e_4,e_3),
inference(unfold_definition,[status(thm)],[c_0_100,def_lhs_atom25]) ).
cnf(c_0_101_0,axiom,
~ equalish(e_4,e_2),
inference(unfold_definition,[status(thm)],[c_0_101,def_lhs_atom24]) ).
cnf(c_0_102_0,axiom,
~ equalish(e_4,e_1),
inference(unfold_definition,[status(thm)],[c_0_102,def_lhs_atom23]) ).
cnf(c_0_103_0,axiom,
~ equalish(e_3,e_4),
inference(unfold_definition,[status(thm)],[c_0_103,def_lhs_atom22]) ).
cnf(c_0_104_0,axiom,
~ equalish(e_3,e_2),
inference(unfold_definition,[status(thm)],[c_0_104,def_lhs_atom21]) ).
cnf(c_0_105_0,axiom,
~ equalish(e_3,e_1),
inference(unfold_definition,[status(thm)],[c_0_105,def_lhs_atom20]) ).
cnf(c_0_106_0,axiom,
~ equalish(e_2,e_4),
inference(unfold_definition,[status(thm)],[c_0_106,def_lhs_atom19]) ).
cnf(c_0_107_0,axiom,
~ equalish(e_2,e_3),
inference(unfold_definition,[status(thm)],[c_0_107,def_lhs_atom18]) ).
cnf(c_0_108_0,axiom,
~ equalish(e_2,e_1),
inference(unfold_definition,[status(thm)],[c_0_108,def_lhs_atom17]) ).
cnf(c_0_109_0,axiom,
~ equalish(e_1,e_4),
inference(unfold_definition,[status(thm)],[c_0_109,def_lhs_atom16]) ).
cnf(c_0_110_0,axiom,
~ equalish(e_1,e_3),
inference(unfold_definition,[status(thm)],[c_0_110,def_lhs_atom15]) ).
cnf(c_0_111_0,axiom,
~ equalish(e_1,e_2),
inference(unfold_definition,[status(thm)],[c_0_111,def_lhs_atom14]) ).
cnf(c_0_112_0,axiom,
group_element(e_4),
inference(unfold_definition,[status(thm)],[c_0_112,def_lhs_atom13]) ).
cnf(c_0_113_0,axiom,
group_element(e_3),
inference(unfold_definition,[status(thm)],[c_0_113,def_lhs_atom12]) ).
cnf(c_0_114_0,axiom,
group_element(e_2),
inference(unfold_definition,[status(thm)],[c_0_114,def_lhs_atom11]) ).
cnf(c_0_115_0,axiom,
group_element(e_1),
inference(unfold_definition,[status(thm)],[c_0_115,def_lhs_atom10]) ).
cnf(c_0_116_0,axiom,
greater(e_4,e_3),
inference(unfold_definition,[status(thm)],[c_0_116,def_lhs_atom9]) ).
cnf(c_0_117_0,axiom,
greater(e_4,e_2),
inference(unfold_definition,[status(thm)],[c_0_117,def_lhs_atom8]) ).
cnf(c_0_118_0,axiom,
greater(e_3,e_2),
inference(unfold_definition,[status(thm)],[c_0_118,def_lhs_atom7]) ).
cnf(c_0_119_0,axiom,
greater(e_4,e_1),
inference(unfold_definition,[status(thm)],[c_0_119,def_lhs_atom6]) ).
cnf(c_0_120_0,axiom,
greater(e_3,e_1),
inference(unfold_definition,[status(thm)],[c_0_120,def_lhs_atom5]) ).
cnf(c_0_121_0,axiom,
greater(e_2,e_1),
inference(unfold_definition,[status(thm)],[c_0_121,def_lhs_atom4]) ).
cnf(c_0_122_0,axiom,
next(e_3,e_4),
inference(unfold_definition,[status(thm)],[c_0_122,def_lhs_atom3]) ).
cnf(c_0_123_0,axiom,
next(e_2,e_3),
inference(unfold_definition,[status(thm)],[c_0_123,def_lhs_atom2]) ).
cnf(c_0_124_0,axiom,
next(e_1,e_2),
inference(unfold_definition,[status(thm)],[c_0_124,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,axiom,
! [X2,X5,X3] :
( ~ product(X3,e_1,X2)
| ~ next(X3,X5)
| ~ greater(X2,X5) ),
file('<stdin>',no_redundancy) ).
fof(c_0_5_006,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_6_007,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_7_008,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_8_009,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_9_010,plain,
! [X2,X5,X3] :
( ~ product(X3,e_1,X2)
| ~ next(X3,X5)
| ~ greater(X2,X5) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_10_011,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_5]) ).
fof(c_0_11_012,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X6,X8)
| ~ product(X7,X6,X5)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_12_013,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X8,X6)
| ~ product(X7,X5,X6)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_13_014,plain,
! [X5,X6,X7,X8] :
( ~ product(X8,X6,X7)
| ~ product(X5,X6,X7)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_14_015,plain,
! [X6,X7,X8] :
( ~ product(X8,e_1,X6)
| ~ next(X8,X7)
| ~ greater(X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
cnf(c_0_15_016,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_10]) ).
cnf(c_0_16_017,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17_018,plain,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18_019,plain,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19_020,plain,
( ~ greater(X1,X2)
| ~ next(X3,X2)
| ~ product(X3,e_1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
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) ),
c_0_15,
[final] ).
cnf(c_0_21_022,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
c_0_16,
[final] ).
cnf(c_0_22_023,plain,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
c_0_17,
[final] ).
cnf(c_0_23_024,plain,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
c_0_18,
[final] ).
cnf(c_0_24_025,plain,
( ~ greater(X1,X2)
| ~ next(X3,X2)
| ~ product(X3,e_1,X1) ),
c_0_19,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_21_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_21_1,axiom,
( ~ product(X3,X4,X2)
| equalish(X1,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_21_2,axiom,
( ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_21]) ).
cnf(c_0_22_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_22_1,axiom,
( ~ product(X3,X2,X4)
| equalish(X1,X2)
| ~ product(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_22_2,axiom,
( ~ product(X3,X1,X4)
| ~ product(X3,X2,X4)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_23_0,axiom,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_23]) ).
cnf(c_0_23_1,axiom,
( ~ product(X2,X3,X4)
| equalish(X1,X2)
| ~ product(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_23]) ).
cnf(c_0_23_2,axiom,
( ~ product(X1,X3,X4)
| ~ product(X2,X3,X4)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_23]) ).
cnf(c_0_24_0,axiom,
( ~ greater(X1,X2)
| ~ next(X3,X2)
| ~ product(X3,e_1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_1,axiom,
( ~ next(X3,X2)
| ~ greater(X1,X2)
| ~ product(X3,e_1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
cnf(c_0_24_2,axiom,
( ~ product(X3,e_1,X1)
| ~ next(X3,X2)
| ~ greater(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_026,negated_conjecture,
! [X1,X2,X3,X4] :
( ~ product(X3,X4,X2)
| ~ product(X4,X2,X1)
| product(X2,X3,X1) ),
file('<stdin>',qg3) ).
fof(c_0_1_027,negated_conjecture,
! [X1,X2,X3,X4] :
( ~ product(X3,X4,X2)
| ~ product(X4,X2,X1)
| product(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_028,negated_conjecture,
! [X5,X6,X7,X8] :
( ~ product(X7,X8,X6)
| ~ product(X8,X6,X5)
| product(X6,X7,X5) ),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3_029,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X1,X3)
| ~ product(X2,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_030,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X1,X3)
| ~ product(X2,X4,X1) ),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_43,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X2,X0,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_4) ).
cnf(c_47,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X2,X0,X3) ),
inference(copy,[status(esa)],[c_43]) ).
cnf(c_51,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X2,X0,X3) ),
inference(copy,[status(esa)],[c_47]) ).
cnf(c_52,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X2,X0,X3) ),
inference(copy,[status(esa)],[c_51]) ).
cnf(c_53,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X2,X0,X3) ),
inference(copy,[status(esa)],[c_52]) ).
cnf(c_97,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X2,X0,X3) ),
inference(copy,[status(esa)],[c_53]) ).
cnf(c_95072,plain,
( ~ product(X0,X1,e_3)
| product(X1,X2,e_3)
| ~ product(X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95235,plain,
( ~ product(e_3,X0,e_3)
| ~ product(X1,e_3,X0)
| product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_95072]) ).
cnf(c_507825,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_95235]) ).
cnf(c_95081,plain,
( product(e_3,X0,X1)
| ~ product(X2,e_3,X1)
| ~ product(X0,X2,e_3) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95141,plain,
( product(e_3,X0,e_4)
| ~ product(X1,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_95081]) ).
cnf(c_334708,plain,
( product(e_3,X0,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_95141]) ).
cnf(c_507764,plain,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_4,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_334708]) ).
cnf(c_14,plain,
( equalish(X0,X1)
| ~ product(X1,X2,X3)
| ~ product(X0,X2,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_23_2) ).
cnf(c_68,plain,
( equalish(X0,X1)
| ~ product(X1,X2,X3)
| ~ product(X0,X2,X3) ),
inference(copy,[status(esa)],[c_14]) ).
cnf(c_95391,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_334672,plain,
( ~ product(e_4,X0,e_4)
| ~ product(e_3,X0,e_4)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95391]) ).
cnf(c_507758,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_3,e_4,e_4)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_334672]) ).
cnf(c_11,plain,
( equalish(X0,X1)
| ~ product(X2,X1,X3)
| ~ product(X2,X0,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_22_2) ).
cnf(c_65,plain,
( equalish(X0,X1)
| ~ product(X2,X1,X3)
| ~ product(X2,X0,X3) ),
inference(copy,[status(esa)],[c_11]) ).
cnf(c_95380,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_2,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_334652,plain,
( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95380]) ).
cnf(c_507752,plain,
( ~ product(e_4,e_4,e_3)
| ~ product(e_4,e_2,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_334652]) ).
cnf(c_95321,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_334506,plain,
( ~ product(e_4,X0,e_4)
| ~ product(e_1,X0,e_4)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_95321]) ).
cnf(c_335326,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_1,e_4,e_4)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_334506]) ).
cnf(c_95001,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_96347,plain,
( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95001]) ).
cnf(c_335272,plain,
( ~ product(e_4,e_4,e_3)
| ~ product(e_4,e_1,e_3)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_96347]) ).
cnf(c_95099,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_96249,plain,
( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_95099]) ).
cnf(c_335255,plain,
( ~ product(e_4,e_3,e_4)
| ~ product(e_4,e_2,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_96249]) ).
cnf(c_5,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_f5f287.p',c_0_20_5) ).
cnf(c_59,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_5]) ).
cnf(c_95119,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_59]) ).
cnf(c_335235,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1)
| ~ group_element(e_4) ),
inference(instantiation,[status(thm)],[c_95119]) ).
cnf(c_95379,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_335182,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_2)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95379]) ).
cnf(c_95087,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_334918,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_95087]) ).
cnf(c_95025,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_334919,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_95025]) ).
cnf(c_95012,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_95215,plain,
( ~ product(e_2,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_95012]) ).
cnf(c_334912,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_1,e_3,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_95215]) ).
cnf(c_7,plain,
( ~ product(X0,X1,X2)
| equalish(X2,X3)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_21_1) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| equalish(X2,X3)
| ~ product(X0,X1,X3) ),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_94985,plain,
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_95178,plain,
( ~ product(e_4,X0,e_3)
| ~ product(e_4,X0,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_94985]) ).
cnf(c_334875,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_2,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_95178]) ).
cnf(c_334864,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_3)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95391]) ).
cnf(c_334865,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_2,e_1,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95379]) ).
cnf(c_95051,plain,
( ~ product(X0,X1,e_2)
| product(X1,X2,e_2)
| ~ product(X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95210,plain,
( ~ product(e_4,X0,X1)
| product(X1,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_95051]) ).
cnf(c_334873,plain,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_95210]) ).
cnf(c_95013,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_95194,plain,
( ~ product(e_4,e_2,X0)
| ~ product(e_4,e_1,X0)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_95013]) ).
cnf(c_334863,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_1,e_3)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_95194]) ).
cnf(c_334836,plain,
( ~ product(e_4,e_2,e_4)
| ~ product(e_4,e_1,e_4)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_95194]) ).
cnf(c_95136,plain,
( ~ product(e_4,X0,X1)
| product(X1,e_4,X2)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95276,plain,
( ~ product(e_4,X0,e_1)
| product(e_1,e_4,X1)
| ~ product(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_95136]) ).
cnf(c_334780,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_1,X0)
| product(e_1,e_4,X0) ),
inference(instantiation,[status(thm)],[c_95276]) ).
cnf(c_334783,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_334780]) ).
cnf(c_334772,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95210]) ).
cnf(c_334712,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_3)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95391]) ).
cnf(c_334714,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_95321]) ).
cnf(c_95271,plain,
( ~ product(e_4,X0,X1)
| product(X1,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_95136]) ).
cnf(c_334719,plain,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_4,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_95271]) ).
cnf(c_334721,plain,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_95210]) ).
cnf(c_95063,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_59]) ).
cnf(c_334711,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_95063]) ).
cnf(c_95053,plain,
( product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_334693,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_95053]) ).
cnf(c_95392,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_334679,plain,
( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95392]) ).
cnf(c_334680,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_1,e_3,e_3)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_334679]) ).
cnf(c_334673,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_3,e_1,e_4)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_334672]) ).
cnf(c_334653,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_1,e_2,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_334652]) ).
cnf(c_334651,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_2,e_4)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95380]) ).
cnf(c_95033,plain,
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_96183,plain,
( ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_95033]) ).
cnf(c_334640,plain,
( ~ product(e_3,e_4,e_4)
| ~ product(e_3,e_4,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_96183]) ).
cnf(c_95322,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_334512,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_1,e_4)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_95322]) ).
cnf(c_95264,plain,
( ~ product(e_4,X0,X1)
| ~ product(X2,e_4,X0)
| product(X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95626,plain,
( ~ product(e_4,e_2,X0)
| product(e_2,X1,X0)
| ~ product(X1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95264]) ).
cnf(c_96415,plain,
( ~ product(e_4,e_2,e_4)
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95626]) ).
cnf(c_96416,plain,
( ~ product(e_4,e_2,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_96415]) ).
cnf(c_95126,plain,
( product(e_4,X0,X1)
| ~ product(X2,e_4,X1)
| ~ product(X0,X2,e_4) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95199,plain,
( product(e_4,e_3,X0)
| ~ product(e_3,X1,e_4)
| ~ product(X1,e_4,X0) ),
inference(instantiation,[status(thm)],[c_95126]) ).
cnf(c_96407,plain,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95199]) ).
cnf(c_95145,plain,
( product(e_3,X0,e_3)
| ~ product(X1,e_3,e_3)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_95081]) ).
cnf(c_95412,plain,
( product(e_3,e_1,e_3)
| ~ product(e_1,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_95145]) ).
cnf(c_96356,plain,
( ~ product(e_4,e_3,e_3)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95412]) ).
cnf(c_95000,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_96341,plain,
( ~ product(e_4,e_4,e_3)
| ~ product(e_1,e_4,e_3)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95000]) ).
cnf(c_95237,plain,
( ~ product(e_3,X0,X1)
| ~ product(X2,e_3,X0)
| product(X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95962,plain,
( product(e_4,X0,e_4)
| ~ product(e_3,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95237]) ).
cnf(c_96296,plain,
( product(e_4,e_2,e_4)
| ~ product(e_3,e_4,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95962]) ).
cnf(c_95115,plain,
( ~ product(e_3,X0,X1)
| product(X1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95243,plain,
( ~ product(e_3,X0,X1)
| product(X1,e_3,e_3)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_95115]) ).
cnf(c_96262,plain,
( product(e_4,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95243]) ).
cnf(c_95098,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_96239,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_95098]) ).
cnf(c_96240,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_96239]) ).
cnf(c_96233,plain,
( product(e_4,e_4,e_3)
| ~ product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95271]) ).
cnf(c_96206,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_95087]) ).
cnf(c_96204,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_4,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_95087]) ).
cnf(c_95086,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_96199,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_95086]) ).
cnf(c_96200,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_96199]) ).
cnf(c_95037,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_2,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_96192,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_95037]) ).
cnf(c_95036,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_96189,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_2,e_4,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_95036]) ).
cnf(c_96187,plain,
( ~ product(e_4,X0,e_2)
| ~ product(e_2,X0,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_95036]) ).
cnf(c_96188,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_96187]) ).
cnf(c_96176,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_95025]) ).
cnf(c_95024,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_96171,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_95024]) ).
cnf(c_96172,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_96171]) ).
cnf(c_96153,plain,
( ~ product(e_4,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95000]) ).
cnf(c_96154,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_96153]) ).
cnf(c_95211,plain,
( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95001]) ).
cnf(c_96066,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95211]) ).
cnf(c_95181,plain,
( product(e_4,X0,e_2)
| ~ product(X1,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_95126]) ).
cnf(c_95459,plain,
( product(e_4,e_3,e_2)
| ~ product(e_3,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95181]) ).
cnf(c_96062,plain,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95459]) ).
cnf(c_95266,plain,
( ~ product(e_4,X0,X1)
| product(X1,e_4,e_4)
| ~ product(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_95136]) ).
cnf(c_95958,plain,
( ~ product(e_4,X0,e_3)
| product(e_3,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95266]) ).
cnf(c_95963,plain,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_4,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95958]) ).
cnf(c_95193,plain,
( product(e_4,e_2,X0)
| ~ product(e_2,X1,e_4)
| ~ product(X1,e_4,X0) ),
inference(instantiation,[status(thm)],[c_95126]) ).
cnf(c_95954,plain,
( ~ product(e_4,e_4,X0)
| product(e_4,e_2,X0)
| ~ product(e_2,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_95193]) ).
cnf(c_95956,plain,
( ~ product(e_4,e_4,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_95954]) ).
cnf(c_95953,plain,
( ~ product(e_4,X0,e_2)
| product(e_2,e_4,e_4)
| ~ product(X0,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_95266]) ).
cnf(c_95955,plain,
( ~ product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_95953]) ).
cnf(c_95945,plain,
( product(e_4,e_4,e_4)
| ~ product(e_4,X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_95266]) ).
cnf(c_95950,plain,
( product(e_4,e_4,e_4)
| ~ product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_95945]) ).
cnf(c_95226,plain,
( ~ product(e_3,X0,X1)
| product(X1,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_95051]) ).
cnf(c_95512,plain,
( ~ product(e_3,X0,e_2)
| product(e_2,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_95226]) ).
cnf(c_95859,plain,
( ~ product(e_4,e_2,e_2)
| ~ product(e_3,e_4,e_2)
| product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_95512]) ).
cnf(c_95765,plain,
( ~ product(e_4,e_1,e_2)
| product(e_1,X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_95264]) ).
cnf(c_95766,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_4,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_95765]) ).
cnf(c_95627,plain,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_1,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95626]) ).
cnf(c_95619,plain,
( ~ product(e_4,e_4,X0)
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95264]) ).
cnf(c_95620,plain,
( ~ product(e_4,e_4,e_1)
| ~ product(e_4,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95619]) ).
cnf(c_95613,plain,
( ~ product(e_4,e_4,X0)
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95264]) ).
cnf(c_95614,plain,
( ~ product(e_4,e_4,e_1)
| ~ product(e_4,e_1,e_3)
| product(e_1,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_95613]) ).
cnf(c_95607,plain,
( ~ product(e_4,X0,e_3)
| ~ product(e_3,e_4,X0)
| product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_95243]) ).
cnf(c_95608,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_3,e_4,e_1)
| product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_95607]) ).
cnf(c_95239,plain,
( ~ product(e_3,X0,X1)
| product(X1,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_95115]) ).
cnf(c_95586,plain,
( ~ product(e_3,X0,e_2)
| product(e_2,e_3,e_4)
| ~ product(X0,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_95239]) ).
cnf(c_95588,plain,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_95586]) ).
cnf(c_95577,plain,
( product(e_4,e_3,e_4)
| ~ product(e_3,X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_95239]) ).
cnf(c_95579,plain,
( product(e_4,e_3,e_4)
| ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_95577]) ).
cnf(c_95233,plain,
( ~ product(e_4,X0,e_3)
| ~ product(X1,e_4,X0)
| product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_95072]) ).
cnf(c_95517,plain,
( ~ product(e_4,e_4,e_3)
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_95233]) ).
cnf(c_95518,plain,
( ~ product(e_4,e_4,e_3)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_95517]) ).
cnf(c_95513,plain,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_95512]) ).
cnf(c_95505,plain,
( ~ product(e_4,X0,e_2)
| product(e_2,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_95210]) ).
cnf(c_95506,plain,
( ~ product(e_4,e_1,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_95505]) ).
cnf(c_95461,plain,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95459]) ).
cnf(c_95453,plain,
( ~ product(e_4,e_2,e_2)
| ~ product(e_4,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_95194]) ).
cnf(c_95449,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_4,e_1,e_2)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95211]) ).
cnf(c_95448,plain,
( product(e_4,e_4,e_2)
| ~ product(e_4,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95181]) ).
cnf(c_95450,plain,
( product(e_4,e_4,e_2)
| ~ product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_95448]) ).
cnf(c_95158,plain,
( ~ product(e_3,e_4,X0)
| ~ product(e_3,e_1,X0)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95001]) ).
cnf(c_95429,plain,
( ~ product(e_3,e_4,e_3)
| ~ product(e_3,e_1,e_3)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95158]) ).
cnf(c_95419,plain,
( product(e_3,e_2,e_3)
| ~ product(e_2,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_95145]) ).
cnf(c_95421,plain,
( product(e_3,e_2,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_95419]) ).
cnf(c_95408,plain,
( product(e_3,e_3,e_4)
| ~ product(e_3,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95141]) ).
cnf(c_95411,plain,
( product(e_3,e_3,e_4)
| ~ product(e_3,e_1,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95408]) ).
cnf(c_95406,plain,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95141]) ).
cnf(c_95049,plain,
( ~ product(e_1,X0,X1)
| product(X1,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95249,plain,
( ~ product(e_3,X0,e_4)
| ~ product(e_1,e_3,X0)
| product(X0,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95049]) ).
cnf(c_95401,plain,
( product(e_4,e_1,e_4)
| ~ product(e_3,e_4,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_95249]) ).
cnf(c_94976,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_95216,plain,
( ~ product(e_2,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_94976]) ).
cnf(c_95371,plain,
( ~ product(e_2,e_4,e_2)
| ~ product(e_1,e_4,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_95216]) ).
cnf(c_95325,plain,
( ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_95321]) ).
cnf(c_95324,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_95322]) ).
cnf(c_95117,plain,
( ~ product(X0,X1,e_4)
| product(X1,X2,e_4)
| ~ product(X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_95260,plain,
( ~ product(e_4,X0,e_4)
| ~ product(X1,e_4,X0)
| product(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_95117]) ).
cnf(c_95261,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_1)
| product(e_1,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95260]) ).
cnf(c_95234,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_1,e_4,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_95233]) ).
cnf(c_95219,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_95215]) ).
cnf(c_95213,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_95211]) ).
cnf(c_95212,plain,
( ~ product(e_4,e_1,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_95210]) ).
cnf(c_95157,plain,
( ~ product(e_4,X0,e_3)
| product(e_3,e_4,X1)
| ~ product(X0,e_3,X1) ),
inference(instantiation,[status(thm)],[c_95081]) ).
cnf(c_95159,plain,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_95157]) ).
cnf(c_95129,plain,
( product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_95135,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_95129]) ).
cnf(c_95125,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_95119]) ).
cnf(c_95116,plain,
( ~ product(e_3,e_1,e_1)
| product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_95115]) ).
cnf(c_95108,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_59]) ).
cnf(c_95114,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_95108]) ).
cnf(c_95089,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_95087]) ).
cnf(c_95074,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_59]) ).
cnf(c_95080,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_95074]) ).
cnf(c_95069,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_95063]) ).
cnf(c_95059,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_95053]) ).
cnf(c_15,plain,
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_24_0) ).
cnf(c_69,plain,
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
inference(copy,[status(esa)],[c_15]) ).
cnf(c_94951,plain,
( ~ product(e_2,e_1,X0)
| ~ greater(X0,e_3)
| ~ next(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_95047,plain,
( ~ product(e_2,e_1,e_4)
| ~ greater(e_4,e_3)
| ~ next(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_94951]) ).
cnf(c_95028,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_2,e_1,e_1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_95024]) ).
cnf(c_95016,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_95012]) ).
cnf(c_95004,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_95000]) ).
cnf(c_94988,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_94992,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_94988]) ).
cnf(c_94989,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_94991,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_94989]) ).
cnf(c_94980,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_94976]) ).
cnf(c_94977,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_94979,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_94977]) ).
cnf(c_17,plain,
( ~ greater(X0,X1)
| ~ next(X2,X1)
| ~ product(X2,e_1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_24_2) ).
cnf(c_71,plain,
( ~ greater(X0,X1)
| ~ next(X2,X1)
| ~ product(X2,e_1,X0) ),
inference(copy,[status(esa)],[c_17]) ).
cnf(c_94967,plain,
( ~ product(X0,e_1,e_4)
| ~ greater(e_4,e_2)
| ~ next(X0,e_2) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_94968,plain,
( ~ product(e_1,e_1,e_4)
| ~ greater(e_4,e_2)
| ~ next(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_94967]) ).
cnf(c_94964,plain,
( ~ product(X0,e_1,e_3)
| ~ greater(e_3,e_2)
| ~ next(X0,e_2) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_94965,plain,
( ~ product(e_1,e_1,e_3)
| ~ greater(e_3,e_2)
| ~ next(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_94964]) ).
cnf(c_46,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_5]) ).
cnf(c_18,plain,
next(e_1,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_124_0) ).
cnf(c_19,plain,
next(e_2,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_123_0) ).
cnf(c_24,plain,
greater(e_3,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_118_0) ).
cnf(c_25,plain,
greater(e_4,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_117_0) ).
cnf(c_26,plain,
greater(e_4,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_116_0) ).
cnf(c_27,plain,
group_element(e_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_115_0) ).
cnf(c_28,plain,
group_element(e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_114_0) ).
cnf(c_29,plain,
group_element(e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_113_0) ).
cnf(c_30,plain,
group_element(e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_112_0) ).
cnf(c_31,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_111_0) ).
cnf(c_32,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_110_0) ).
cnf(c_33,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_109_0) ).
cnf(c_34,plain,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_108_0) ).
cnf(c_35,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_107_0) ).
cnf(c_36,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_106_0) ).
cnf(c_37,plain,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_105_0) ).
cnf(c_38,plain,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_104_0) ).
cnf(c_40,plain,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_102_0) ).
cnf(c_41,plain,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_101_0) ).
cnf(c_42,plain,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_f5f287.p',c_0_100_0) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_507825,c_507764,c_507758,c_507752,c_335326,c_335272,c_335255,c_335235,c_335182,c_334918,c_334919,c_334912,c_334875,c_334864,c_334865,c_334873,c_334863,c_334836,c_334783,c_334772,c_334712,c_334714,c_334719,c_334721,c_334711,c_334693,c_334680,c_334673,c_334653,c_334651,c_334640,c_334512,c_96416,c_96407,c_96356,c_96341,c_96296,c_96262,c_96240,c_96233,c_96206,c_96204,c_96200,c_96192,c_96189,c_96188,c_96176,c_96172,c_96154,c_96066,c_96062,c_95963,c_95956,c_95955,c_95950,c_95859,c_95766,c_95627,c_95620,c_95614,c_95608,c_95588,c_95579,c_95518,c_95513,c_95506,c_95461,c_95453,c_95449,c_95450,c_95429,c_95421,c_95411,c_95406,c_95401,c_95371,c_95325,c_95324,c_95261,c_95234,c_95219,c_95213,c_95212,c_95159,c_95135,c_95125,c_95116,c_95114,c_95089,c_95080,c_95069,c_95059,c_95047,c_95028,c_95016,c_95004,c_94992,c_94991,c_94980,c_94979,c_94968,c_94965,c_46,c_18,c_19,c_24,c_25,c_26,c_27,c_28,c_29,c_30,c_31,c_32,c_33,c_34,c_35,c_36,c_37,c_38,c_40,c_41,c_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP129-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 08:55:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.21/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41 % Orientation found
% 0.21/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b33622.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f5f287.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_9c387a | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.21/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.44 % --bmc1_dump_file -
% 0.21/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.44 % --bmc1_ucm_extend_mode 1
% 0.21/0.44 % --bmc1_ucm_init_mode 2
% 0.21/0.44 % --bmc1_ucm_cone_mode none
% 0.21/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.44 % --bmc1_ucm_relax_model 4
% 0.21/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.44 % --bmc1_ucm_layered_model none
% 0.21/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.44
% 0.21/0.44 % ------ AIG Options
% 0.21/0.44
% 0.21/0.44 % --aig_mode false
% 0.21/0.44
% 0.21/0.44 % ------ Instantiation Options
% 0.21/0.44
% 0.21/0.44 % --instantiation_flag true
% 0.21/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44 % --inst_solver_per_active 750
% 0.21/0.44 % --inst_solver_calls_frac 0.5
% 0.21/0.44 % --inst_passive_queue_type priority_queues
% 0.21/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44 % --inst_passive_queues_freq [25;2]
% 0.21/0.44 % --inst_dismatching true
% 0.21/0.44 % --inst_eager_unprocessed_to_passive true
% 0.21/0.44 % --inst_prop_sim_given true
% 0.21/0.44 % --inst_prop_sim_new false
% 0.21/0.44 % --inst_orphan_elimination true
% 0.21/0.44 % --inst_learning_loop_flag true
% 0.21/0.44 % --inst_learning_start 3000
% 0.21/0.44 % --inst_learning_factor 2
% 0.21/0.44 % --inst_start_prop_sim_after_learn 3
% 0.21/0.44 % --inst_sel_renew solver
% 0.21/0.44 % --inst_lit_activity_flag true
% 0.21/0.44 % --inst_out_proof true
% 0.21/0.44
% 0.21/0.44 % ------ Resolution Options
% 0.21/0.44
% 0.21/0.44 % --resolution_flag true
% 0.21/0.44 % --res_lit_sel kbo_max
% 0.21/0.44 % --res_to_prop_solver none
% 0.21/0.44 % --res_prop_simpl_new false
% 0.21/0.44 % --res_prop_simpl_given false
% 0.21/0.44 % --res_passive_queue_type priority_queues
% 0.21/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.44 % --res_passive_queues_freq [15;5]
% 0.21/0.44 % --res_forward_subs full
% 0.21/0.44 % --res_backward_subs full
% 0.21/0.44 % --res_forward_subs_resolution true
% 0.21/0.44 % --res_backward_subs_resolution true
% 0.21/0.44 % --res_orphan_elimination false
% 0.21/0.44 % --res_time_limit 1000.
% 0.21/0.44 % --res_out_proof true
% 0.21/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b33622.s
% 0.21/0.44 % --modulo true
% 0.21/0.44
% 0.21/0.44 % ------ Combination Options
% 0.21/0.44
% 0.21/0.44 % --comb_res_mult 1000
% 0.21/0.44 % --comb_inst_mult 300
% 0.21/0.44 % ------
% 0.21/0.44
% 0.21/0.44 % ------ Parsing...% successful
% 0.21/0.44
% 0.21/0.44 % ------ 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 %
% 0.21/0.44
% 0.21/0.44 % ------ Proving...
% 0.21/0.44 % ------ Problem Properties
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % EPR true
% 0.21/0.44 % Horn false
% 0.21/0.44 % Has equality false
% 0.21/0.44
% 0.21/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % % ------ Current options:
% 0.21/0.44
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.21/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.44 % --bmc1_dump_file -
% 0.21/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.44 % --bmc1_ucm_extend_mode 1
% 0.21/0.44 % --bmc1_ucm_init_mode 2
% 0.21/0.44 % --bmc1_ucm_cone_mode none
% 0.21/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.44 % --bmc1_ucm_relax_model 4
% 0.21/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.44 % --bmc1_ucm_layered_model none
% 0.21/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.44
% 0.21/0.44 % ------ AIG Options
% 0.21/0.44
% 0.21/0.44 % --aig_mode false
% 0.21/0.44
% 0.21/0.44 % ------ Instantiation Options
% 0.21/0.44
% 0.21/0.44 % --instantiation_flag true
% 0.21/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44 % --inst_solver_per_active 750
% 0.21/0.44 % --inst_solver_calls_frac 0.5
% 0.21/0.44 % --inst_passive_queue_type priority_queues
% 0.21/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44 % --inst_passive_queues_freq [25;2]
% 0.21/0.44 % --inst_dismatching true
% 0.21/0.44 % --inst_eager_unprocessed_to_passive true
% 0.21/0.44 % --inst_prop_sim_given true
% 16.48/16.69 % --inst_prop_sim_new false
% 16.48/16.69 % --inst_orphan_elimination true
% 16.48/16.69 % --inst_learning_loop_flag true
% 16.48/16.69 % --inst_learning_start 3000
% 16.48/16.69 % --inst_learning_factor 2
% 16.48/16.69 % --inst_start_prop_sim_after_learn 3
% 16.48/16.69 % --inst_sel_renew solver
% 16.48/16.69 % --inst_lit_activity_flag true
% 16.48/16.69 % --inst_out_proof true
% 16.48/16.69
% 16.48/16.69 % ------ Resolution Options
% 16.48/16.69
% 16.48/16.69 % --resolution_flag true
% 16.48/16.69 % --res_lit_sel kbo_max
% 16.48/16.69 % --res_to_prop_solver none
% 16.48/16.69 % --res_prop_simpl_new false
% 16.48/16.69 % --res_prop_simpl_given false
% 16.48/16.69 % --res_passive_queue_type priority_queues
% 16.48/16.69 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 16.48/16.69 % --res_passive_queues_freq [15;5]
% 16.48/16.69 % --res_forward_subs full
% 16.48/16.69 % --res_backward_subs full
% 16.48/16.69 % --res_forward_subs_resolution true
% 16.48/16.69 % --res_backward_subs_resolution true
% 16.48/16.69 % --res_orphan_elimination false
% 16.48/16.69 % --res_time_limit 1000.
% 16.48/16.69 % --res_out_proof true
% 16.48/16.69 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_b33622.s
% 16.48/16.69 % --modulo true
% 16.48/16.69
% 16.48/16.69 % ------ Combination Options
% 16.48/16.69
% 16.48/16.69 % --comb_res_mult 1000
% 16.48/16.69 % --comb_inst_mult 300
% 16.48/16.69 % ------
% 16.48/16.69
% 16.48/16.69
% 16.48/16.69
% 16.48/16.69 % ------ Proving...
% 16.48/16.69 %
% 16.48/16.69
% 16.48/16.69
% 16.48/16.69 % ------ Statistics
% 16.48/16.69
% 16.48/16.69 % ------ General
% 16.48/16.69
% 16.48/16.69 % num_of_input_clauses: 44
% 16.48/16.69 % num_of_input_neg_conjectures: 1
% 16.48/16.69 % num_of_splits: 0
% 16.48/16.69 % num_of_split_atoms: 0
% 16.48/16.69 % num_of_sem_filtered_clauses: 0
% 16.48/16.69 % num_of_subtypes: 0
% 16.48/16.69 % monotx_restored_types: 0
% 16.48/16.69 % sat_num_of_epr_types: 0
% 16.48/16.69 % sat_num_of_non_cyclic_types: 0
% 16.48/16.69 % sat_guarded_non_collapsed_types: 0
% 16.48/16.69 % is_epr: 1
% 16.48/16.69 % is_horn: 0
% 16.48/16.69 % has_eq: 0
% 16.48/16.69 % num_pure_diseq_elim: 0
% 16.48/16.69 % simp_replaced_by: 0
% 16.48/16.69 % res_preprocessed: 2
% 16.48/16.69 % prep_upred: 0
% 16.48/16.69 % prep_unflattend: 0
% 16.48/16.69 % pred_elim_cands: 0
% 16.48/16.69 % pred_elim: 0
% 16.48/16.69 % pred_elim_cl: 0
% 16.48/16.69 % pred_elim_cycles: 0
% 16.48/16.69 % forced_gc_time: 0
% 16.48/16.69 % gc_basic_clause_elim: 0
% 16.48/16.69 % parsing_time: 0.001
% 16.48/16.69 % sem_filter_time: 0.
% 16.48/16.69 % pred_elim_time: 0.
% 16.48/16.69 % out_proof_time: 0.004
% 16.48/16.69 % monotx_time: 0.
% 16.48/16.69 % subtype_inf_time: 0.
% 16.48/16.69 % unif_index_cands_time: 0.013
% 16.48/16.69 % unif_index_add_time: 0.004
% 16.48/16.69 % total_time: 16.27
% 16.48/16.69 % num_of_symbols: 34
% 16.48/16.69 % num_of_terms: 788
% 16.48/16.69
% 16.48/16.69 % ------ Propositional Solver
% 16.48/16.69
% 16.48/16.69 % prop_solver_calls: 9
% 16.48/16.69 % prop_fast_solver_calls: 9
% 16.48/16.69 % prop_num_of_clauses: 910
% 16.48/16.69 % prop_preprocess_simplified: 1481
% 16.48/16.69 % prop_fo_subsumed: 0
% 16.48/16.69 % prop_solver_time: 0.
% 16.48/16.69 % prop_fast_solver_time: 0.
% 16.48/16.69 % prop_unsat_core_time: 0.
% 16.48/16.69
% 16.48/16.69 % ------ QBF
% 16.48/16.69
% 16.48/16.69 % qbf_q_res: 0
% 16.48/16.69 % qbf_num_tautologies: 0
% 16.48/16.69 % qbf_prep_cycles: 0
% 16.48/16.69
% 16.48/16.69 % ------ BMC1
% 16.48/16.69
% 16.48/16.69 % bmc1_current_bound: -1
% 16.48/16.69 % bmc1_last_solved_bound: -1
% 16.48/16.69 % bmc1_unsat_core_size: -1
% 16.48/16.69 % bmc1_unsat_core_parents_size: -1
% 16.48/16.69 % bmc1_merge_next_fun: 0
% 16.48/16.69 % bmc1_unsat_core_clauses_time: 0.
% 16.48/16.69
% 16.48/16.69 % ------ Instantiation
% 16.48/16.69
% 16.48/16.69 % inst_num_of_clauses: 788
% 16.48/16.69 % inst_num_in_passive: 217
% 16.48/16.69 % inst_num_in_active: 557
% 16.48/16.69 % inst_num_in_unprocessed: 1
% 16.48/16.69 % inst_num_of_loops: 667
% 16.48/16.69 % inst_num_of_learning_restarts: 0
% 16.53/16.69 % inst_num_moves_active_passive: 94
% 16.53/16.69 % inst_lit_activity: 96
% 16.53/16.69 % inst_lit_activity_moves: 0
% 16.53/16.69 % inst_num_tautologies: 13
% 16.53/16.69 % inst_num_prop_implied: 0
% 16.53/16.69 % inst_num_existing_simplified: 0
% 16.53/16.69 % inst_num_eq_res_simplified: 0
% 16.53/16.69 % inst_num_child_elim: 0
% 16.53/16.69 % inst_num_of_dismatching_blockings: 429
% 16.53/16.69 % inst_num_of_non_proper_insts: 2754
% 16.53/16.69 % inst_num_of_duplicates: 1097
% 16.53/16.69 % inst_inst_num_from_inst_to_res: 0
% 16.53/16.69 % inst_dismatching_checking_time: 0.
% 16.53/16.69
% 16.53/16.69 % ------ Resolution
% 16.53/16.69
% 16.53/16.69 % res_num_of_clauses: 72732
% 16.53/16.69 % res_num_in_passive: 73342
% 16.53/16.69 % res_num_in_active: 1058
% 16.53/16.69 % res_num_of_loops: 3000
% 16.53/16.69 % res_forward_subset_subsumed: 162543
% 16.53/16.69 % res_backward_subset_subsumed: 1917
% 16.53/16.69 % res_forward_subsumed: 1847
% 16.53/16.69 % res_backward_subsumed: 50
% 16.53/16.69 % res_forward_subsumption_resolution: 273
% 16.53/16.69 % res_backward_subsumption_resolution: 0
% 16.53/16.69 % res_clause_to_clause_subsumption: 143468
% 16.53/16.69 % res_orphan_elimination: 0
% 16.53/16.69 % res_tautology_del: 13
% 16.53/16.69 % res_num_eq_res_simplified: 0
% 16.53/16.69 % res_num_sel_changes: 0
% 16.53/16.69 % res_moves_from_active_to_pass: 0
% 16.53/16.69
% 16.53/16.69 % Status Unsatisfiable
% 16.53/16.69 % SZS status Unsatisfiable
% 16.53/16.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------