TSTP Solution File: GRP128-3.005 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GRP128-3.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n010.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 09:45:08 EDT 2022
% Result : Unsatisfiable 73.56s 73.77s
% Output : CNFRefutation 73.61s
% 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_5_is_not_e_4,axiom,
~ equalish(e_5,e_4),
input ).
fof(e_5_is_not_e_4_0,plain,
( ~ equalish(e_5,e_4)
| $false ),
inference(orientation,[status(thm)],[e_5_is_not_e_4]) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3),
input ).
fof(e_5_is_not_e_3_0,plain,
( ~ equalish(e_5,e_3)
| $false ),
inference(orientation,[status(thm)],[e_5_is_not_e_3]) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2),
input ).
fof(e_5_is_not_e_2_0,plain,
( ~ equalish(e_5,e_2)
| $false ),
inference(orientation,[status(thm)],[e_5_is_not_e_2]) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1),
input ).
fof(e_5_is_not_e_1_0,plain,
( ~ equalish(e_5,e_1)
| $false ),
inference(orientation,[status(thm)],[e_5_is_not_e_1]) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
input ).
fof(e_4_is_not_e_5_0,plain,
( ~ equalish(e_4,e_5)
| $false ),
inference(orientation,[status(thm)],[e_4_is_not_e_5]) ).
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_5,axiom,
~ equalish(e_3,e_5),
input ).
fof(e_3_is_not_e_5_0,plain,
( ~ equalish(e_3,e_5)
| $false ),
inference(orientation,[status(thm)],[e_3_is_not_e_5]) ).
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_5,axiom,
~ equalish(e_2,e_5),
input ).
fof(e_2_is_not_e_5_0,plain,
( ~ equalish(e_2,e_5)
| $false ),
inference(orientation,[status(thm)],[e_2_is_not_e_5]) ).
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_5,axiom,
~ equalish(e_1,e_5),
input ).
fof(e_1_is_not_e_5_0,plain,
( ~ equalish(e_1,e_5)
| $false ),
inference(orientation,[status(thm)],[e_1_is_not_e_5]) ).
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_5,axiom,
group_element(e_5),
input ).
fof(element_5_0,plain,
( group_element(e_5)
| $false ),
inference(orientation,[status(thm)],[element_5]) ).
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(cycle3,axiom,
cycle(e_5,e_0),
input ).
fof(cycle3_0,plain,
( cycle(e_5,e_0)
| $false ),
inference(orientation,[status(thm)],[cycle3]) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4),
input ).
fof(e_5_greater_e_4_0,plain,
( greater(e_5,e_4)
| $false ),
inference(orientation,[status(thm)],[e_5_greater_e_4]) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
input ).
fof(e_5_greater_e_3_0,plain,
( greater(e_5,e_3)
| $false ),
inference(orientation,[status(thm)],[e_5_greater_e_3]) ).
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_5_greater_e_2,axiom,
greater(e_5,e_2),
input ).
fof(e_5_greater_e_2_0,plain,
( greater(e_5,e_2)
| $false ),
inference(orientation,[status(thm)],[e_5_greater_e_2]) ).
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_5_greater_e_1,axiom,
greater(e_5,e_1),
input ).
fof(e_5_greater_e_1_0,plain,
( greater(e_5,e_1)
| $false ),
inference(orientation,[status(thm)],[e_5_greater_e_1]) ).
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_5_greater_e_0,axiom,
greater(e_5,e_0),
input ).
fof(e_5_greater_e_0_0,plain,
( greater(e_5,e_0)
| $false ),
inference(orientation,[status(thm)],[e_5_greater_e_0]) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0),
input ).
fof(e_4_greater_e_0_0,plain,
( greater(e_4,e_0)
| $false ),
inference(orientation,[status(thm)],[e_4_greater_e_0]) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
input ).
fof(e_3_greater_e_0_0,plain,
( greater(e_3,e_0)
| $false ),
inference(orientation,[status(thm)],[e_3_greater_e_0]) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
input ).
fof(e_2_greater_e_0_0,plain,
( greater(e_2,e_0)
| $false ),
inference(orientation,[status(thm)],[e_2_greater_e_0]) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0),
input ).
fof(e_1_greater_e_0_0,plain,
( greater(e_1,e_0)
| $false ),
inference(orientation,[status(thm)],[e_1_greater_e_0]) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5),
input ).
fof(e_4_then_e_5_0,plain,
( next(e_4,e_5)
| $false ),
inference(orientation,[status(thm)],[e_4_then_e_5]) ).
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]) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
input ).
fof(e_0_then_e_1_0,plain,
( next(e_0,e_1)
| $false ),
inference(orientation,[status(thm)],[e_0_then_e_1]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> next(e_0,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[e_0_then_e_1_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> next(e_1,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[e_1_then_e_2_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> next(e_2,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[e_2_then_e_3_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> next(e_3,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[e_3_then_e_4_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> next(e_4,e_5) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[e_4_then_e_5_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> greater(e_1,e_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[e_1_greater_e_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> greater(e_2,e_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[e_2_greater_e_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> greater(e_3,e_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[e_3_greater_e_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> greater(e_4,e_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[e_4_greater_e_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> greater(e_5,e_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[e_5_greater_e_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> greater(e_2,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[e_2_greater_e_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
( lhs_atom12
<=> greater(e_3,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[e_3_greater_e_1_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
( lhs_atom13
<=> greater(e_4,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
( lhs_atom13
| $false ),
inference(fold_definition,[status(thm)],[e_4_greater_e_1_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
( lhs_atom14
<=> greater(e_5,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
( lhs_atom14
| $false ),
inference(fold_definition,[status(thm)],[e_5_greater_e_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
( lhs_atom15
<=> greater(e_3,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
( lhs_atom15
| $false ),
inference(fold_definition,[status(thm)],[e_3_greater_e_2_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
( lhs_atom16
<=> greater(e_4,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
( lhs_atom16
| $false ),
inference(fold_definition,[status(thm)],[e_4_greater_e_2_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
( lhs_atom17
<=> greater(e_5,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
( lhs_atom17
| $false ),
inference(fold_definition,[status(thm)],[e_5_greater_e_2_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
( lhs_atom18
<=> greater(e_4,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
( lhs_atom18
| $false ),
inference(fold_definition,[status(thm)],[e_4_greater_e_3_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
( lhs_atom19
<=> greater(e_5,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
( lhs_atom19
| $false ),
inference(fold_definition,[status(thm)],[e_5_greater_e_3_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
( lhs_atom20
<=> greater(e_5,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
( lhs_atom20
| $false ),
inference(fold_definition,[status(thm)],[e_5_greater_e_4_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
( lhs_atom21
<=> cycle(e_5,e_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
( lhs_atom21
| $false ),
inference(fold_definition,[status(thm)],[cycle3_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
( lhs_atom22
<=> group_element(e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
( lhs_atom22
| $false ),
inference(fold_definition,[status(thm)],[element_1_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
( lhs_atom23
<=> group_element(e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
( lhs_atom23
| $false ),
inference(fold_definition,[status(thm)],[element_2_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
( lhs_atom24
<=> group_element(e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
( lhs_atom24
| $false ),
inference(fold_definition,[status(thm)],[element_3_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
( lhs_atom25
<=> group_element(e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
( lhs_atom25
| $false ),
inference(fold_definition,[status(thm)],[element_4_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
( lhs_atom26
<=> group_element(e_5) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
( lhs_atom26
| $false ),
inference(fold_definition,[status(thm)],[element_5_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
( lhs_atom27
<=> ~ equalish(e_1,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
( lhs_atom27
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_2_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
( lhs_atom28
<=> ~ equalish(e_1,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
( lhs_atom28
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_3_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
( lhs_atom29
<=> ~ equalish(e_1,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
( lhs_atom29
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_4_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
( lhs_atom30
<=> ~ equalish(e_1,e_5) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
( lhs_atom30
| $false ),
inference(fold_definition,[status(thm)],[e_1_is_not_e_5_0,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
( lhs_atom31
<=> ~ equalish(e_2,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
( lhs_atom31
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_1_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
( lhs_atom32
<=> ~ equalish(e_2,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
( lhs_atom32
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_3_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
( lhs_atom33
<=> ~ equalish(e_2,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
( lhs_atom33
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_4_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
( lhs_atom34
<=> ~ equalish(e_2,e_5) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
( lhs_atom34
| $false ),
inference(fold_definition,[status(thm)],[e_2_is_not_e_5_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
( lhs_atom35
<=> ~ equalish(e_3,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
( lhs_atom35
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_1_0,def_lhs_atom35]) ).
fof(def_lhs_atom36,axiom,
( lhs_atom36
<=> ~ equalish(e_3,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
( lhs_atom36
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_2_0,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
( lhs_atom37
<=> ~ equalish(e_3,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
( lhs_atom37
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_4_0,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
( lhs_atom38
<=> ~ equalish(e_3,e_5) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
( lhs_atom38
| $false ),
inference(fold_definition,[status(thm)],[e_3_is_not_e_5_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
( lhs_atom39
<=> ~ equalish(e_4,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
( lhs_atom39
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_1_0,def_lhs_atom39]) ).
fof(def_lhs_atom40,axiom,
( lhs_atom40
<=> ~ equalish(e_4,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_39,plain,
( lhs_atom40
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_2_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
( lhs_atom41
<=> ~ equalish(e_4,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_40,plain,
( lhs_atom41
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_3_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
( lhs_atom42
<=> ~ equalish(e_4,e_5) ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
( lhs_atom42
| $false ),
inference(fold_definition,[status(thm)],[e_4_is_not_e_5_0,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
( lhs_atom43
<=> ~ equalish(e_5,e_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_42,plain,
( lhs_atom43
| $false ),
inference(fold_definition,[status(thm)],[e_5_is_not_e_1_0,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
( lhs_atom44
<=> ~ equalish(e_5,e_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_43,plain,
( lhs_atom44
| $false ),
inference(fold_definition,[status(thm)],[e_5_is_not_e_2_0,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
( lhs_atom45
<=> ~ equalish(e_5,e_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_44,plain,
( lhs_atom45
| $false ),
inference(fold_definition,[status(thm)],[e_5_is_not_e_3_0,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
( lhs_atom46
<=> ~ equalish(e_5,e_4) ),
inference(definition,[],]) ).
fof(to_be_clausified_45,plain,
( lhs_atom46
| $false ),
inference(fold_definition,[status(thm)],[e_5_is_not_e_4_0,def_lhs_atom46]) ).
% Start CNF derivation
fof(c_0_0,axiom,
( lhs_atom46
| ~ $true ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_1,axiom,
( lhs_atom45
| ~ $true ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_2,axiom,
( lhs_atom44
| ~ $true ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_3,axiom,
( lhs_atom43
| ~ $true ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_4,axiom,
( lhs_atom42
| ~ $true ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_5,axiom,
( lhs_atom41
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_6,axiom,
( lhs_atom40
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_7,axiom,
( lhs_atom39
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_8,axiom,
( lhs_atom38
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_9,axiom,
( lhs_atom37
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_10,axiom,
( lhs_atom36
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_11,axiom,
( lhs_atom35
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_12,axiom,
( lhs_atom34
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_13,axiom,
( lhs_atom33
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_14,axiom,
( lhs_atom32
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_15,axiom,
( lhs_atom31
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_16,axiom,
( lhs_atom30
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_17,axiom,
( lhs_atom29
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_18,axiom,
( lhs_atom28
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_19,axiom,
( lhs_atom27
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_20,axiom,
( lhs_atom26
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_21,axiom,
( lhs_atom25
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_22,axiom,
( lhs_atom24
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_23,axiom,
( lhs_atom23
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_24,axiom,
( lhs_atom22
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_25,axiom,
( lhs_atom21
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_26,axiom,
( lhs_atom20
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_27,axiom,
( lhs_atom19
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_28,axiom,
( lhs_atom18
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_29,axiom,
( lhs_atom17
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_30,axiom,
( lhs_atom16
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_31,axiom,
( lhs_atom15
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_32,axiom,
( lhs_atom14
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_33,axiom,
( lhs_atom13
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_34,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_35,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_36,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_37,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_38,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_39,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_40,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_41,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_42,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_43,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_44,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_45,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_46,plain,
lhs_atom46,
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_47,plain,
lhs_atom45,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_48,plain,
lhs_atom44,
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_49,plain,
lhs_atom43,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_50,plain,
lhs_atom42,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_51,plain,
lhs_atom41,
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_52,plain,
lhs_atom40,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_53,plain,
lhs_atom39,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_54,plain,
lhs_atom38,
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_55,plain,
lhs_atom37,
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_56,plain,
lhs_atom36,
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_57,plain,
lhs_atom35,
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_58,plain,
lhs_atom34,
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_59,plain,
lhs_atom33,
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_60,plain,
lhs_atom32,
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_61,plain,
lhs_atom31,
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_62,plain,
lhs_atom30,
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_63,plain,
lhs_atom29,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_64,plain,
lhs_atom28,
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_65,plain,
lhs_atom27,
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_66,plain,
lhs_atom26,
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_67,plain,
lhs_atom25,
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_68,plain,
lhs_atom24,
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_69,plain,
lhs_atom23,
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_70,plain,
lhs_atom22,
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_71,plain,
lhs_atom21,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_72,plain,
lhs_atom20,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_73,plain,
lhs_atom19,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_74,plain,
lhs_atom18,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_75,plain,
lhs_atom17,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_76,plain,
lhs_atom16,
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_77,plain,
lhs_atom15,
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_78,plain,
lhs_atom14,
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_79,plain,
lhs_atom13,
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_80,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_81,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_82,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_83,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_84,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_85,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_86,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_87,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_88,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_89,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_90,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_91,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_92,plain,
lhs_atom46,
c_0_46 ).
fof(c_0_93,plain,
lhs_atom45,
c_0_47 ).
fof(c_0_94,plain,
lhs_atom44,
c_0_48 ).
fof(c_0_95,plain,
lhs_atom43,
c_0_49 ).
fof(c_0_96,plain,
lhs_atom42,
c_0_50 ).
fof(c_0_97,plain,
lhs_atom41,
c_0_51 ).
fof(c_0_98,plain,
lhs_atom40,
c_0_52 ).
fof(c_0_99,plain,
lhs_atom39,
c_0_53 ).
fof(c_0_100,plain,
lhs_atom38,
c_0_54 ).
fof(c_0_101,plain,
lhs_atom37,
c_0_55 ).
fof(c_0_102,plain,
lhs_atom36,
c_0_56 ).
fof(c_0_103,plain,
lhs_atom35,
c_0_57 ).
fof(c_0_104,plain,
lhs_atom34,
c_0_58 ).
fof(c_0_105,plain,
lhs_atom33,
c_0_59 ).
fof(c_0_106,plain,
lhs_atom32,
c_0_60 ).
fof(c_0_107,plain,
lhs_atom31,
c_0_61 ).
fof(c_0_108,plain,
lhs_atom30,
c_0_62 ).
fof(c_0_109,plain,
lhs_atom29,
c_0_63 ).
fof(c_0_110,plain,
lhs_atom28,
c_0_64 ).
fof(c_0_111,plain,
lhs_atom27,
c_0_65 ).
fof(c_0_112,plain,
lhs_atom26,
c_0_66 ).
fof(c_0_113,plain,
lhs_atom25,
c_0_67 ).
fof(c_0_114,plain,
lhs_atom24,
c_0_68 ).
fof(c_0_115,plain,
lhs_atom23,
c_0_69 ).
fof(c_0_116,plain,
lhs_atom22,
c_0_70 ).
fof(c_0_117,plain,
lhs_atom21,
c_0_71 ).
fof(c_0_118,plain,
lhs_atom20,
c_0_72 ).
fof(c_0_119,plain,
lhs_atom19,
c_0_73 ).
fof(c_0_120,plain,
lhs_atom18,
c_0_74 ).
fof(c_0_121,plain,
lhs_atom17,
c_0_75 ).
fof(c_0_122,plain,
lhs_atom16,
c_0_76 ).
fof(c_0_123,plain,
lhs_atom15,
c_0_77 ).
fof(c_0_124,plain,
lhs_atom14,
c_0_78 ).
fof(c_0_125,plain,
lhs_atom13,
c_0_79 ).
fof(c_0_126,plain,
lhs_atom12,
c_0_80 ).
fof(c_0_127,plain,
lhs_atom11,
c_0_81 ).
fof(c_0_128,plain,
lhs_atom10,
c_0_82 ).
fof(c_0_129,plain,
lhs_atom9,
c_0_83 ).
fof(c_0_130,plain,
lhs_atom8,
c_0_84 ).
fof(c_0_131,plain,
lhs_atom7,
c_0_85 ).
fof(c_0_132,plain,
lhs_atom6,
c_0_86 ).
fof(c_0_133,plain,
lhs_atom5,
c_0_87 ).
fof(c_0_134,plain,
lhs_atom4,
c_0_88 ).
fof(c_0_135,plain,
lhs_atom3,
c_0_89 ).
fof(c_0_136,plain,
lhs_atom2,
c_0_90 ).
fof(c_0_137,plain,
lhs_atom1,
c_0_91 ).
cnf(c_0_138,plain,
lhs_atom46,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_139,plain,
lhs_atom45,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_140,plain,
lhs_atom44,
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_141,plain,
lhs_atom43,
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_142,plain,
lhs_atom42,
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_143,plain,
lhs_atom41,
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_144,plain,
lhs_atom40,
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_145,plain,
lhs_atom39,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_146,plain,
lhs_atom38,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_147,plain,
lhs_atom37,
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_148,plain,
lhs_atom36,
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_149,plain,
lhs_atom35,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_150,plain,
lhs_atom34,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_151,plain,
lhs_atom33,
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_152,plain,
lhs_atom32,
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_153,plain,
lhs_atom31,
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_154,plain,
lhs_atom30,
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_155,plain,
lhs_atom29,
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_156,plain,
lhs_atom28,
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_157,plain,
lhs_atom27,
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_158,plain,
lhs_atom26,
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_159,plain,
lhs_atom25,
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_160,plain,
lhs_atom24,
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_161,plain,
lhs_atom23,
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_162,plain,
lhs_atom22,
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_163,plain,
lhs_atom21,
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_164,plain,
lhs_atom20,
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_165,plain,
lhs_atom19,
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_166,plain,
lhs_atom18,
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_167,plain,
lhs_atom17,
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_168,plain,
lhs_atom16,
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_169,plain,
lhs_atom15,
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_170,plain,
lhs_atom14,
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_171,plain,
lhs_atom13,
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_172,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_173,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_174,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_175,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_176,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_177,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_178,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_179,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_180,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_181,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_182,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_183,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_184,plain,
lhs_atom46,
c_0_138,
[final] ).
cnf(c_0_185,plain,
lhs_atom45,
c_0_139,
[final] ).
cnf(c_0_186,plain,
lhs_atom44,
c_0_140,
[final] ).
cnf(c_0_187,plain,
lhs_atom43,
c_0_141,
[final] ).
cnf(c_0_188,plain,
lhs_atom42,
c_0_142,
[final] ).
cnf(c_0_189,plain,
lhs_atom41,
c_0_143,
[final] ).
cnf(c_0_190,plain,
lhs_atom40,
c_0_144,
[final] ).
cnf(c_0_191,plain,
lhs_atom39,
c_0_145,
[final] ).
cnf(c_0_192,plain,
lhs_atom38,
c_0_146,
[final] ).
cnf(c_0_193,plain,
lhs_atom37,
c_0_147,
[final] ).
cnf(c_0_194,plain,
lhs_atom36,
c_0_148,
[final] ).
cnf(c_0_195,plain,
lhs_atom35,
c_0_149,
[final] ).
cnf(c_0_196,plain,
lhs_atom34,
c_0_150,
[final] ).
cnf(c_0_197,plain,
lhs_atom33,
c_0_151,
[final] ).
cnf(c_0_198,plain,
lhs_atom32,
c_0_152,
[final] ).
cnf(c_0_199,plain,
lhs_atom31,
c_0_153,
[final] ).
cnf(c_0_200,plain,
lhs_atom30,
c_0_154,
[final] ).
cnf(c_0_201,plain,
lhs_atom29,
c_0_155,
[final] ).
cnf(c_0_202,plain,
lhs_atom28,
c_0_156,
[final] ).
cnf(c_0_203,plain,
lhs_atom27,
c_0_157,
[final] ).
cnf(c_0_204,plain,
lhs_atom26,
c_0_158,
[final] ).
cnf(c_0_205,plain,
lhs_atom25,
c_0_159,
[final] ).
cnf(c_0_206,plain,
lhs_atom24,
c_0_160,
[final] ).
cnf(c_0_207,plain,
lhs_atom23,
c_0_161,
[final] ).
cnf(c_0_208,plain,
lhs_atom22,
c_0_162,
[final] ).
cnf(c_0_209,plain,
lhs_atom21,
c_0_163,
[final] ).
cnf(c_0_210,plain,
lhs_atom20,
c_0_164,
[final] ).
cnf(c_0_211,plain,
lhs_atom19,
c_0_165,
[final] ).
cnf(c_0_212,plain,
lhs_atom18,
c_0_166,
[final] ).
cnf(c_0_213,plain,
lhs_atom17,
c_0_167,
[final] ).
cnf(c_0_214,plain,
lhs_atom16,
c_0_168,
[final] ).
cnf(c_0_215,plain,
lhs_atom15,
c_0_169,
[final] ).
cnf(c_0_216,plain,
lhs_atom14,
c_0_170,
[final] ).
cnf(c_0_217,plain,
lhs_atom13,
c_0_171,
[final] ).
cnf(c_0_218,plain,
lhs_atom12,
c_0_172,
[final] ).
cnf(c_0_219,plain,
lhs_atom11,
c_0_173,
[final] ).
cnf(c_0_220,plain,
lhs_atom10,
c_0_174,
[final] ).
cnf(c_0_221,plain,
lhs_atom9,
c_0_175,
[final] ).
cnf(c_0_222,plain,
lhs_atom8,
c_0_176,
[final] ).
cnf(c_0_223,plain,
lhs_atom7,
c_0_177,
[final] ).
cnf(c_0_224,plain,
lhs_atom6,
c_0_178,
[final] ).
cnf(c_0_225,plain,
lhs_atom5,
c_0_179,
[final] ).
cnf(c_0_226,plain,
lhs_atom4,
c_0_180,
[final] ).
cnf(c_0_227,plain,
lhs_atom3,
c_0_181,
[final] ).
cnf(c_0_228,plain,
lhs_atom2,
c_0_182,
[final] ).
cnf(c_0_229,plain,
lhs_atom1,
c_0_183,
[final] ).
% End CNF derivation
cnf(c_0_184_0,axiom,
~ equalish(e_5,e_4),
inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom46]) ).
cnf(c_0_185_0,axiom,
~ equalish(e_5,e_3),
inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom45]) ).
cnf(c_0_186_0,axiom,
~ equalish(e_5,e_2),
inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom44]) ).
cnf(c_0_187_0,axiom,
~ equalish(e_5,e_1),
inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom43]) ).
cnf(c_0_188_0,axiom,
~ equalish(e_4,e_5),
inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom42]) ).
cnf(c_0_189_0,axiom,
~ equalish(e_4,e_3),
inference(unfold_definition,[status(thm)],[c_0_189,def_lhs_atom41]) ).
cnf(c_0_190_0,axiom,
~ equalish(e_4,e_2),
inference(unfold_definition,[status(thm)],[c_0_190,def_lhs_atom40]) ).
cnf(c_0_191_0,axiom,
~ equalish(e_4,e_1),
inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom39]) ).
cnf(c_0_192_0,axiom,
~ equalish(e_3,e_5),
inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom38]) ).
cnf(c_0_193_0,axiom,
~ equalish(e_3,e_4),
inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom37]) ).
cnf(c_0_194_0,axiom,
~ equalish(e_3,e_2),
inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom36]) ).
cnf(c_0_195_0,axiom,
~ equalish(e_3,e_1),
inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom35]) ).
cnf(c_0_196_0,axiom,
~ equalish(e_2,e_5),
inference(unfold_definition,[status(thm)],[c_0_196,def_lhs_atom34]) ).
cnf(c_0_197_0,axiom,
~ equalish(e_2,e_4),
inference(unfold_definition,[status(thm)],[c_0_197,def_lhs_atom33]) ).
cnf(c_0_198_0,axiom,
~ equalish(e_2,e_3),
inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom32]) ).
cnf(c_0_199_0,axiom,
~ equalish(e_2,e_1),
inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom31]) ).
cnf(c_0_200_0,axiom,
~ equalish(e_1,e_5),
inference(unfold_definition,[status(thm)],[c_0_200,def_lhs_atom30]) ).
cnf(c_0_201_0,axiom,
~ equalish(e_1,e_4),
inference(unfold_definition,[status(thm)],[c_0_201,def_lhs_atom29]) ).
cnf(c_0_202_0,axiom,
~ equalish(e_1,e_3),
inference(unfold_definition,[status(thm)],[c_0_202,def_lhs_atom28]) ).
cnf(c_0_203_0,axiom,
~ equalish(e_1,e_2),
inference(unfold_definition,[status(thm)],[c_0_203,def_lhs_atom27]) ).
cnf(c_0_204_0,axiom,
group_element(e_5),
inference(unfold_definition,[status(thm)],[c_0_204,def_lhs_atom26]) ).
cnf(c_0_205_0,axiom,
group_element(e_4),
inference(unfold_definition,[status(thm)],[c_0_205,def_lhs_atom25]) ).
cnf(c_0_206_0,axiom,
group_element(e_3),
inference(unfold_definition,[status(thm)],[c_0_206,def_lhs_atom24]) ).
cnf(c_0_207_0,axiom,
group_element(e_2),
inference(unfold_definition,[status(thm)],[c_0_207,def_lhs_atom23]) ).
cnf(c_0_208_0,axiom,
group_element(e_1),
inference(unfold_definition,[status(thm)],[c_0_208,def_lhs_atom22]) ).
cnf(c_0_209_0,axiom,
cycle(e_5,e_0),
inference(unfold_definition,[status(thm)],[c_0_209,def_lhs_atom21]) ).
cnf(c_0_210_0,axiom,
greater(e_5,e_4),
inference(unfold_definition,[status(thm)],[c_0_210,def_lhs_atom20]) ).
cnf(c_0_211_0,axiom,
greater(e_5,e_3),
inference(unfold_definition,[status(thm)],[c_0_211,def_lhs_atom19]) ).
cnf(c_0_212_0,axiom,
greater(e_4,e_3),
inference(unfold_definition,[status(thm)],[c_0_212,def_lhs_atom18]) ).
cnf(c_0_213_0,axiom,
greater(e_5,e_2),
inference(unfold_definition,[status(thm)],[c_0_213,def_lhs_atom17]) ).
cnf(c_0_214_0,axiom,
greater(e_4,e_2),
inference(unfold_definition,[status(thm)],[c_0_214,def_lhs_atom16]) ).
cnf(c_0_215_0,axiom,
greater(e_3,e_2),
inference(unfold_definition,[status(thm)],[c_0_215,def_lhs_atom15]) ).
cnf(c_0_216_0,axiom,
greater(e_5,e_1),
inference(unfold_definition,[status(thm)],[c_0_216,def_lhs_atom14]) ).
cnf(c_0_217_0,axiom,
greater(e_4,e_1),
inference(unfold_definition,[status(thm)],[c_0_217,def_lhs_atom13]) ).
cnf(c_0_218_0,axiom,
greater(e_3,e_1),
inference(unfold_definition,[status(thm)],[c_0_218,def_lhs_atom12]) ).
cnf(c_0_219_0,axiom,
greater(e_2,e_1),
inference(unfold_definition,[status(thm)],[c_0_219,def_lhs_atom11]) ).
cnf(c_0_220_0,axiom,
greater(e_5,e_0),
inference(unfold_definition,[status(thm)],[c_0_220,def_lhs_atom10]) ).
cnf(c_0_221_0,axiom,
greater(e_4,e_0),
inference(unfold_definition,[status(thm)],[c_0_221,def_lhs_atom9]) ).
cnf(c_0_222_0,axiom,
greater(e_3,e_0),
inference(unfold_definition,[status(thm)],[c_0_222,def_lhs_atom8]) ).
cnf(c_0_223_0,axiom,
greater(e_2,e_0),
inference(unfold_definition,[status(thm)],[c_0_223,def_lhs_atom7]) ).
cnf(c_0_224_0,axiom,
greater(e_1,e_0),
inference(unfold_definition,[status(thm)],[c_0_224,def_lhs_atom6]) ).
cnf(c_0_225_0,axiom,
next(e_4,e_5),
inference(unfold_definition,[status(thm)],[c_0_225,def_lhs_atom5]) ).
cnf(c_0_226_0,axiom,
next(e_3,e_4),
inference(unfold_definition,[status(thm)],[c_0_226,def_lhs_atom4]) ).
cnf(c_0_227_0,axiom,
next(e_2,e_3),
inference(unfold_definition,[status(thm)],[c_0_227,def_lhs_atom3]) ).
cnf(c_0_228_0,axiom,
next(e_1,e_2),
inference(unfold_definition,[status(thm)],[c_0_228,def_lhs_atom2]) ).
cnf(c_0_229_0,axiom,
next(e_0,e_1),
inference(unfold_definition,[status(thm)],[c_0_229,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)
| product(X3,X2,e_5) ),
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,
! [X1,X2,X5,X3] :
( ~ cycle(X3,X2)
| ~ product(X3,e_1,X1)
| ~ greater(X2,e_0)
| ~ next(X3,X5)
| equalish(X1,X5) ),
file('<stdin>',cycle7) ).
fof(c_0_5_006,axiom,
! [X6,X7,X2,X3,X4] :
( ~ cycle(X3,X7)
| ~ cycle(X2,e_0)
| ~ cycle(X4,X6)
| ~ next(X2,X4)
| ~ greater(X2,X3)
| ~ greater(X7,X6) ),
file('<stdin>',cycle5) ).
fof(c_0_6_007,axiom,
! [X2,X3] :
( ~ cycle(X3,e_0)
| ~ product(X3,e_1,X2)
| ~ greater(X2,X3) ),
file('<stdin>',cycle6) ).
fof(c_0_7_008,axiom,
! [X7,X1,X2,X3,X4] :
( ~ cycle(X3,X2)
| ~ cycle(X4,X1)
| ~ next(X3,X4)
| ~ greater(X2,e_0)
| ~ next(X1,X7)
| equalish(X2,X7) ),
file('<stdin>',cycle4) ).
fof(c_0_8_009,axiom,
! [X3] :
( ~ group_element(X3)
| cycle(X3,e_0)
| cycle(X3,e_1)
| cycle(X3,e_2)
| cycle(X3,e_3)
| cycle(X3,e_4) ),
file('<stdin>',cycle2) ).
fof(c_0_9_010,axiom,
! [X1,X2,X3] :
( ~ cycle(X3,X2)
| ~ cycle(X3,X1)
| equalish(X2,X1) ),
file('<stdin>',cycle1) ).
fof(c_0_10_011,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)
| product(X3,X2,e_5) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_11_012,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_12_013,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_13_014,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_14_015,plain,
! [X1,X2,X5,X3] :
( ~ cycle(X3,X2)
| ~ product(X3,e_1,X1)
| ~ greater(X2,e_0)
| ~ next(X3,X5)
| equalish(X1,X5) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_15_016,plain,
! [X6,X7,X2,X3,X4] :
( ~ cycle(X3,X7)
| ~ cycle(X2,e_0)
| ~ cycle(X4,X6)
| ~ next(X2,X4)
| ~ greater(X2,X3)
| ~ greater(X7,X6) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_16_017,plain,
! [X2,X3] :
( ~ cycle(X3,e_0)
| ~ product(X3,e_1,X2)
| ~ greater(X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_17_018,plain,
! [X7,X1,X2,X3,X4] :
( ~ cycle(X3,X2)
| ~ cycle(X4,X1)
| ~ next(X3,X4)
| ~ greater(X2,e_0)
| ~ next(X1,X7)
| equalish(X2,X7) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_18_019,plain,
! [X3] :
( ~ group_element(X3)
| cycle(X3,e_0)
| cycle(X3,e_1)
| cycle(X3,e_2)
| cycle(X3,e_3)
| cycle(X3,e_4) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_19_020,plain,
! [X1,X2,X3] :
( ~ cycle(X3,X2)
| ~ cycle(X3,X1)
| equalish(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_20_021,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)
| product(X5,X4,e_5) ),
inference(variable_rename,[status(thm)],[c_0_10]) ).
fof(c_0_21_022,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X6,X8)
| ~ product(X7,X6,X5)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_11]) ).
fof(c_0_22_023,plain,
! [X5,X6,X7,X8] :
( ~ product(X7,X8,X6)
| ~ product(X7,X5,X6)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_12]) ).
fof(c_0_23_024,plain,
! [X5,X6,X7,X8] :
( ~ product(X8,X6,X7)
| ~ product(X5,X6,X7)
| equalish(X8,X5) ),
inference(variable_rename,[status(thm)],[c_0_13]) ).
fof(c_0_24_025,plain,
! [X6,X7,X8,X9] :
( ~ cycle(X9,X7)
| ~ product(X9,e_1,X6)
| ~ greater(X7,e_0)
| ~ next(X9,X8)
| equalish(X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_25_026,plain,
! [X8,X9,X10,X11,X12] :
( ~ cycle(X11,X9)
| ~ cycle(X10,e_0)
| ~ cycle(X12,X8)
| ~ next(X10,X12)
| ~ greater(X10,X11)
| ~ greater(X9,X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_15])])]) ).
fof(c_0_26_027,plain,
! [X4,X5] :
( ~ cycle(X5,e_0)
| ~ product(X5,e_1,X4)
| ~ greater(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_16]) ).
fof(c_0_27_028,plain,
! [X8,X9,X10,X11,X12] :
( ~ cycle(X11,X10)
| ~ cycle(X12,X9)
| ~ next(X11,X12)
| ~ greater(X10,e_0)
| ~ next(X9,X8)
| equalish(X10,X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_17])])]) ).
fof(c_0_28_029,plain,
! [X4] :
( ~ group_element(X4)
| cycle(X4,e_0)
| cycle(X4,e_1)
| cycle(X4,e_2)
| cycle(X4,e_3)
| cycle(X4,e_4) ),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_29_030,plain,
! [X4,X5,X6] :
( ~ cycle(X6,X5)
| ~ cycle(X6,X4)
| equalish(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
cnf(c_0_30_031,plain,
( product(X1,X2,e_5)
| 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_20]) ).
cnf(c_0_31_032,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32_033,plain,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33_034,plain,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34_035,plain,
( equalish(X1,X2)
| ~ next(X3,X2)
| ~ greater(X4,e_0)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35_036,plain,
( ~ greater(X1,X2)
| ~ greater(X3,X4)
| ~ next(X3,X5)
| ~ cycle(X5,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36_037,plain,
( ~ greater(X1,X2)
| ~ product(X2,e_1,X1)
| ~ cycle(X2,e_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37_038,plain,
( equalish(X1,X2)
| ~ next(X3,X2)
| ~ greater(X1,e_0)
| ~ next(X4,X5)
| ~ cycle(X5,X3)
| ~ cycle(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38_039,plain,
( cycle(X1,e_4)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0)
| ~ group_element(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39_040,plain,
( equalish(X1,X2)
| ~ cycle(X3,X2)
| ~ cycle(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40_041,plain,
( product(X1,X2,e_5)
| 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_30,
[final] ).
cnf(c_0_41_042,plain,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
c_0_31,
[final] ).
cnf(c_0_42_043,plain,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
c_0_32,
[final] ).
cnf(c_0_43_044,plain,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
c_0_33,
[final] ).
cnf(c_0_44_045,plain,
( equalish(X1,X2)
| ~ next(X3,X2)
| ~ greater(X4,e_0)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,X4) ),
c_0_34,
[final] ).
cnf(c_0_45_046,plain,
( ~ greater(X1,X2)
| ~ greater(X3,X4)
| ~ next(X3,X5)
| ~ cycle(X5,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X1) ),
c_0_35,
[final] ).
cnf(c_0_46_047,plain,
( ~ greater(X1,X2)
| ~ product(X2,e_1,X1)
| ~ cycle(X2,e_0) ),
c_0_36,
[final] ).
cnf(c_0_47_048,plain,
( equalish(X1,X2)
| ~ next(X3,X2)
| ~ greater(X1,e_0)
| ~ next(X4,X5)
| ~ cycle(X5,X3)
| ~ cycle(X4,X1) ),
c_0_37,
[final] ).
cnf(c_0_48_049,plain,
( cycle(X1,e_4)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0)
| ~ group_element(X1) ),
c_0_38,
[final] ).
cnf(c_0_49_050,plain,
( equalish(X1,X2)
| ~ cycle(X3,X2)
| ~ cycle(X3,X1) ),
c_0_39,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_40_0,axiom,
( product(X1,X2,e_5)
| 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_40]) ).
cnf(c_0_40_1,axiom,
( product(X1,X2,e_4)
| product(X1,X2,e_5)
| 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_40]) ).
cnf(c_0_40_2,axiom,
( product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| product(X1,X2,e_2)
| product(X1,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_3,axiom,
( product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| product(X1,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_4,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X2)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_5,axiom,
( ~ group_element(X2)
| product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_6,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)
| product(X1,X2,e_5) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_41_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_1,axiom,
( ~ product(X3,X4,X2)
| equalish(X1,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_2,axiom,
( ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_42_0,axiom,
( equalish(X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_1,axiom,
( ~ product(X3,X2,X4)
| equalish(X1,X2)
| ~ product(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_2,axiom,
( ~ product(X3,X1,X4)
| ~ product(X3,X2,X4)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_43_0,axiom,
( equalish(X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_1,axiom,
( ~ product(X2,X3,X4)
| equalish(X1,X2)
| ~ product(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_2,axiom,
( ~ product(X1,X3,X4)
| ~ product(X2,X3,X4)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_44_0,axiom,
( equalish(X1,X2)
| ~ next(X3,X2)
| ~ greater(X4,e_0)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_1,axiom,
( ~ next(X3,X2)
| equalish(X1,X2)
| ~ greater(X4,e_0)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_2,axiom,
( ~ greater(X4,e_0)
| ~ next(X3,X2)
| equalish(X1,X2)
| ~ product(X3,e_1,X1)
| ~ cycle(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_3,axiom,
( ~ product(X3,e_1,X1)
| ~ greater(X4,e_0)
| ~ next(X3,X2)
| equalish(X1,X2)
| ~ cycle(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_4,axiom,
( ~ cycle(X3,X4)
| ~ product(X3,e_1,X1)
| ~ greater(X4,e_0)
| ~ next(X3,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_45_0,axiom,
( ~ greater(X1,X2)
| ~ greater(X3,X4)
| ~ next(X3,X5)
| ~ cycle(X5,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_1,axiom,
( ~ greater(X3,X4)
| ~ greater(X1,X2)
| ~ next(X3,X5)
| ~ cycle(X5,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_2,axiom,
( ~ next(X3,X5)
| ~ greater(X3,X4)
| ~ greater(X1,X2)
| ~ cycle(X5,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_3,axiom,
( ~ cycle(X5,X2)
| ~ next(X3,X5)
| ~ greater(X3,X4)
| ~ greater(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_4,axiom,
( ~ cycle(X3,e_0)
| ~ cycle(X5,X2)
| ~ next(X3,X5)
| ~ greater(X3,X4)
| ~ greater(X1,X2)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_5,axiom,
( ~ cycle(X4,X1)
| ~ cycle(X3,e_0)
| ~ cycle(X5,X2)
| ~ next(X3,X5)
| ~ greater(X3,X4)
| ~ greater(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_0,axiom,
( ~ greater(X1,X2)
| ~ product(X2,e_1,X1)
| ~ cycle(X2,e_0) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_1,axiom,
( ~ product(X2,e_1,X1)
| ~ greater(X1,X2)
| ~ cycle(X2,e_0) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_2,axiom,
( ~ cycle(X2,e_0)
| ~ product(X2,e_1,X1)
| ~ greater(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_47_0,axiom,
( equalish(X1,X2)
| ~ next(X3,X2)
| ~ greater(X1,e_0)
| ~ next(X4,X5)
| ~ cycle(X5,X3)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_1,axiom,
( ~ next(X3,X2)
| equalish(X1,X2)
| ~ greater(X1,e_0)
| ~ next(X4,X5)
| ~ cycle(X5,X3)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_2,axiom,
( ~ greater(X1,e_0)
| ~ next(X3,X2)
| equalish(X1,X2)
| ~ next(X4,X5)
| ~ cycle(X5,X3)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_3,axiom,
( ~ next(X4,X5)
| ~ greater(X1,e_0)
| ~ next(X3,X2)
| equalish(X1,X2)
| ~ cycle(X5,X3)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_4,axiom,
( ~ cycle(X5,X3)
| ~ next(X4,X5)
| ~ greater(X1,e_0)
| ~ next(X3,X2)
| equalish(X1,X2)
| ~ cycle(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_5,axiom,
( ~ cycle(X4,X1)
| ~ cycle(X5,X3)
| ~ next(X4,X5)
| ~ greater(X1,e_0)
| ~ next(X3,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_48_0,axiom,
( cycle(X1,e_4)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_1,axiom,
( cycle(X1,e_3)
| cycle(X1,e_4)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_2,axiom,
( cycle(X1,e_2)
| cycle(X1,e_3)
| cycle(X1,e_4)
| cycle(X1,e_1)
| cycle(X1,e_0)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_3,axiom,
( cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| cycle(X1,e_4)
| cycle(X1,e_0)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_4,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| cycle(X1,e_4)
| ~ group_element(X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_5,axiom,
( ~ group_element(X1)
| cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| cycle(X1,e_4) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_0,axiom,
( equalish(X1,X2)
| ~ cycle(X3,X2)
| ~ cycle(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_1,axiom,
( ~ cycle(X3,X2)
| equalish(X1,X2)
| ~ cycle(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_2,axiom,
( ~ cycle(X3,X1)
| ~ cycle(X3,X2)
| equalish(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_051,negated_conjecture,
! [X1,X2,X3,X4] :
( ~ product(X4,X3,X2)
| ~ product(X2,X3,X1)
| product(X4,X2,X1) ),
file('<stdin>',qg3) ).
fof(c_0_1_052,negated_conjecture,
! [X1,X2,X3,X4] :
( ~ product(X4,X3,X2)
| ~ product(X2,X3,X1)
| product(X4,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_053,negated_conjecture,
! [X5,X6,X7,X8] :
( ~ product(X8,X7,X6)
| ~ product(X6,X7,X5)
| product(X8,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3_054,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X2,X4,X3)
| ~ product(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_055,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X2,X4,X3)
| ~ product(X1,X4,X2) ),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_15,plain,
( equalish(X0,X1)
| ~ product(X1,X2,X3)
| ~ product(X0,X2,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_43_2) ).
cnf(c_120,plain,
( equalish(X0,X1)
| ~ product(X1,X2,X3)
| ~ product(X0,X2,X3) ),
inference(copy,[status(esa)],[c_15]) ).
cnf(c_59172,plain,
( ~ product(e_5,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_680912,plain,
( ~ product(e_5,X0,e_4)
| ~ product(e_1,X0,e_4)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_59172]) ).
cnf(c_1268563,plain,
( ~ product(e_5,e_4,e_4)
| ~ product(e_1,e_4,e_4)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_680912]) ).
cnf(c_59445,plain,
( ~ product(e_5,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_680911,plain,
( ~ product(e_5,X0,e_4)
| ~ product(e_2,X0,e_4)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59445]) ).
cnf(c_1268559,plain,
( ~ product(e_5,e_4,e_4)
| ~ product(e_2,e_4,e_4)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_680911]) ).
cnf(c_59463,plain,
( ~ product(e_5,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_680910,plain,
( ~ product(e_5,X0,e_4)
| ~ product(e_3,X0,e_4)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_59463]) ).
cnf(c_1268555,plain,
( ~ product(e_5,e_4,e_4)
| ~ product(e_3,e_4,e_4)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_680910]) ).
cnf(c_59507,plain,
( ~ product(e_5,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_680909,plain,
( ~ product(e_5,X0,e_4)
| ~ product(e_4,X0,e_4)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_59507]) ).
cnf(c_1268551,plain,
( ~ product(e_5,e_4,e_4)
| ~ product(e_4,e_4,e_4)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_680909]) ).
cnf(c_59098,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_326262,plain,
( ~ product(e_4,X0,e_4)
| ~ product(e_2,X0,e_4)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59098]) ).
cnf(c_1268498,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_2,e_4,e_4)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_326262]) ).
cnf(c_12,plain,
( equalish(X0,X1)
| ~ product(X2,X1,X3)
| ~ product(X2,X0,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_42_2) ).
cnf(c_117,plain,
( equalish(X0,X1)
| ~ product(X2,X1,X3)
| ~ product(X2,X0,X3) ),
inference(copy,[status(esa)],[c_12]) ).
cnf(c_58974,plain,
( ~ product(X0,e_5,X1)
| ~ product(X0,e_3,X1)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_192015,plain,
( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_58974]) ).
cnf(c_1268346,plain,
( ~ product(e_4,e_5,e_4)
| ~ product(e_4,e_3,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_192015]) ).
cnf(c_59117,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_681106,plain,
( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_59117]) ).
cnf(c_946211,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_3,e_3)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_681106]) ).
cnf(c_325981,plain,
( ~ product(e_5,X0,e_2)
| ~ product(e_3,X0,e_2)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_59463]) ).
cnf(c_946181,plain,
( ~ product(e_5,e_5,e_2)
| ~ product(e_3,e_5,e_2)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_325981]) ).
cnf(c_91,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_4) ).
cnf(c_98,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(copy,[status(esa)],[c_91]) ).
cnf(c_102,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(copy,[status(esa)],[c_98]) ).
cnf(c_103,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(copy,[status(esa)],[c_102]) ).
cnf(c_104,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(copy,[status(esa)],[c_103]) ).
cnf(c_196,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(copy,[status(esa)],[c_104]) ).
cnf(c_59054,plain,
( ~ product(e_4,X0,X1)
| product(e_4,X1,X2)
| ~ product(X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_59278,plain,
( product(e_4,e_1,X0)
| ~ product(e_4,X1,e_1)
| ~ product(e_1,X1,X0) ),
inference(instantiation,[status(thm)],[c_59054]) ).
cnf(c_681027,plain,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(instantiation,[status(thm)],[c_59278]) ).
cnf(c_946154,plain,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_681027]) ).
cnf(c_58992,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_461246,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_5,e_1,X0)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_58992]) ).
cnf(c_946033,plain,
( ~ product(e_5,e_4,e_3)
| ~ product(e_5,e_1,e_3)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_461246]) ).
cnf(c_59099,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_2,X1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_461245,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_5,e_2,X0)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59099]) ).
cnf(c_946027,plain,
( ~ product(e_5,e_4,e_3)
| ~ product(e_5,e_2,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_461245]) ).
cnf(c_59076,plain,
( ~ product(e_5,X0,X1)
| product(e_5,X1,X2)
| ~ product(X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_59368,plain,
( product(e_5,e_4,X0)
| ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,X0) ),
inference(instantiation,[status(thm)],[c_59076]) ).
cnf(c_461191,plain,
( product(e_5,e_4,e_1)
| ~ product(e_5,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(instantiation,[status(thm)],[c_59368]) ).
cnf(c_945918,plain,
( ~ product(e_5,e_4,e_4)
| product(e_5,e_4,e_1)
| ~ product(e_4,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_461191]) ).
cnf(c_461170,plain,
( product(e_5,e_4,e_3)
| ~ product(e_5,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59368]) ).
cnf(c_945909,plain,
( ~ product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_461170]) ).
cnf(c_59086,plain,
( ~ product(e_5,X0,X1)
| product(X2,e_5,X1)
| ~ product(X2,X0,e_5) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_59258,plain,
( ~ product(e_5,X0,e_4)
| product(X1,e_5,e_4)
| ~ product(X1,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59086]) ).
cnf(c_461165,plain,
( ~ product(e_5,e_4,e_4)
| product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59258]) ).
cnf(c_945903,plain,
( ~ product(e_5,e_4,e_4)
| product(e_4,e_5,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_461165]) ).
cnf(c_945891,plain,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_461165]) ).
cnf(c_945880,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_59117]) ).
cnf(c_59022,plain,
( ~ product(X0,X1,e_3)
| product(X2,X0,e_3)
| ~ product(X2,X1,X0) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_191669,plain,
( ~ product(X0,e_3,e_3)
| ~ product(X1,e_3,X0)
| product(X1,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59022]) ).
cnf(c_945879,plain,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_191669]) ).
cnf(c_58920,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_59133,plain,
( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58920]) ).
cnf(c_945875,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59133]) ).
cnf(c_59066,plain,
( ~ product(X0,X1,e_5)
| product(X2,X0,e_5)
| ~ product(X2,X1,X0) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_59281,plain,
( product(e_2,X0,e_5)
| ~ product(e_2,X1,X0)
| ~ product(X0,X1,e_5) ),
inference(instantiation,[status(thm)],[c_59066]) ).
cnf(c_945864,plain,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_1,e_5)
| ~ product(e_1,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59281]) ).
cnf(c_59000,plain,
( ~ product(X0,X1,e_2)
| product(X2,X0,e_2)
| ~ product(X2,X1,X0) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_191315,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_59000]) ).
cnf(c_945857,plain,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_191315]) ).
cnf(c_58847,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_59088,plain,
( ~ product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58847]) ).
cnf(c_945859,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59088]) ).
cnf(c_945848,plain,
( ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59098]) ).
cnf(c_59020,plain,
( ~ product(e_2,X0,X1)
| product(X2,e_2,X1)
| ~ product(X2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_60008,plain,
( ~ product(e_2,X0,e_2)
| product(X1,e_2,e_2)
| ~ product(X1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_59020]) ).
cnf(c_460900,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(X0,e_3,e_2)
| product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_60008]) ).
cnf(c_945832,plain,
( ~ product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_460900]) ).
cnf(c_326832,plain,
( ~ product(e_2,e_4,e_2)
| ~ product(X0,e_4,e_2)
| product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_60008]) ).
cnf(c_945815,plain,
( ~ product(e_2,e_4,e_2)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_326832]) ).
cnf(c_59010,plain,
( ~ product(e_2,X0,X1)
| product(e_2,X1,X2)
| ~ product(X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_326040,plain,
( ~ product(e_4,X0,X1)
| product(e_2,e_4,X1)
| ~ product(e_2,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59010]) ).
cnf(c_326660,plain,
( ~ product(e_4,X0,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_2,X0,e_4) ),
inference(instantiation,[status(thm)],[c_326040]) ).
cnf(c_945783,plain,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_326660]) ).
cnf(c_945779,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_4,e_4)
| product(e_2,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_326660]) ).
cnf(c_58956,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_59866,plain,
( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58956]) ).
cnf(c_945559,plain,
( ~ product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_5)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59866]) ).
cnf(c_945556,plain,
( ~ product(e_3,e_4,e_5)
| ~ product(e_3,e_3,e_5)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59866]) ).
cnf(c_59116,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_945417,plain,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_3,e_1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_59116]) ).
cnf(c_682936,plain,
( ~ product(e_4,e_4,X0)
| ~ product(e_4,e_3,X0)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58956]) ).
cnf(c_682937,plain,
( ~ product(e_4,e_4,e_1)
| ~ product(e_4,e_3,e_1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_682936]) ).
cnf(c_682782,plain,
( ~ product(e_5,e_3,e_1)
| ~ product(e_4,e_3,e_1)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_59507]) ).
cnf(c_682783,plain,
( ~ product(e_5,e_3,e_1)
| ~ product(e_3,e_3,e_1)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_59463]) ).
cnf(c_682784,plain,
( ~ product(e_5,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59445]) ).
cnf(c_682785,plain,
( ~ product(e_5,e_3,e_1)
| ~ product(e_1,e_3,e_1)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_59172]) ).
cnf(c_59154,plain,
( ~ product(e_5,X0,X1)
| ~ product(e_4,X0,X1)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_682786,plain,
( ~ product(e_5,e_3,e_1)
| ~ product(e_4,e_3,e_1)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59154]) ).
cnf(c_59359,plain,
( product(e_5,X0,e_4)
| ~ product(e_5,X1,X0)
| ~ product(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_59076]) ).
cnf(c_682768,plain,
( ~ product(e_5,e_3,e_1)
| product(e_5,e_1,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59359]) ).
cnf(c_59338,plain,
( product(e_5,X0,e_3)
| ~ product(e_5,X1,X0)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_59076]) ).
cnf(c_682769,plain,
( ~ product(e_5,e_3,e_1)
| product(e_5,e_1,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_59338]) ).
cnf(c_59331,plain,
( product(e_5,X0,e_2)
| ~ product(e_5,X1,X0)
| ~ product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_59076]) ).
cnf(c_682770,plain,
( ~ product(e_5,e_3,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59331]) ).
cnf(c_59314,plain,
( product(e_5,X0,e_5)
| ~ product(e_5,X1,X0)
| ~ product(X0,X1,e_5) ),
inference(instantiation,[status(thm)],[c_59066]) ).
cnf(c_191306,plain,
( product(e_5,e_1,e_5)
| ~ product(e_5,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59314]) ).
cnf(c_682762,plain,
( ~ product(e_5,e_3,e_1)
| product(e_5,e_1,e_5)
| ~ product(e_1,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_191306]) ).
cnf(c_58955,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_59226,plain,
( ~ product(e_4,e_5,X0)
| ~ product(e_3,e_5,X0)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58955]) ).
cnf(c_682704,plain,
( ~ product(e_4,e_5,e_2)
| ~ product(e_3,e_5,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59226]) ).
cnf(c_59508,plain,
( ~ product(X0,e_5,X1)
| ~ product(X0,e_4,X1)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_326014,plain,
( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_59508]) ).
cnf(c_682673,plain,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_2)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_326014]) ).
cnf(c_59155,plain,
( ~ product(X0,e_5,X1)
| ~ product(X0,e_4,X1)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_325926,plain,
( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59155]) ).
cnf(c_682677,plain,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_2)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_325926]) ).
cnf(c_58830,plain,
( ~ product(X0,e_5,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_191347,plain,
( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_58830]) ).
cnf(c_682680,plain,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_191347]) ).
cnf(c_191444,plain,
( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_58992]) ).
cnf(c_682655,plain,
( ~ product(e_5,e_4,e_2)
| ~ product(e_5,e_1,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_191444]) ).
cnf(c_60021,plain,
( product(e_4,e_2,X0)
| ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_59054]) ).
cnf(c_682626,plain,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_60021]) ).
cnf(c_682627,plain,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_682626]) ).
cnf(c_325895,plain,
( ~ product(e_4,X0,e_2)
| ~ product(e_3,X0,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_59116]) ).
cnf(c_682617,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_3,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_325895]) ).
cnf(c_58991,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_191435,plain,
( ~ product(e_4,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_58991]) ).
cnf(c_682619,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_191435]) ).
cnf(c_59303,plain,
( product(e_4,X0,e_5)
| ~ product(e_4,X1,X0)
| ~ product(X0,X1,e_5) ),
inference(instantiation,[status(thm)],[c_59066]) ).
cnf(c_191054,plain,
( product(e_4,e_2,e_5)
| ~ product(e_4,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59303]) ).
cnf(c_682620,plain,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_191054]) ).
cnf(c_60023,plain,
( ~ product(e_4,X0,e_2)
| ~ product(e_3,X0,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58955]) ).
cnf(c_682623,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_3,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_60023]) ).
cnf(c_59064,plain,
( ~ product(e_4,X0,X1)
| product(X2,e_4,X1)
| ~ product(X2,X0,e_4) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_60022,plain,
( ~ product(e_4,X0,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59064]) ).
cnf(c_682624,plain,
( ~ product(e_4,e_3,e_2)
| product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_60022]) ).
cnf(c_682625,plain,
( ~ product(e_4,e_3,e_2)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_682624]) ).
cnf(c_8,plain,
( ~ product(X0,X1,X2)
| equalish(X2,X3)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_41_1) ).
cnf(c_113,plain,
( ~ product(X0,X1,X2)
| equalish(X2,X3)
| ~ product(X0,X1,X3) ),
inference(copy,[status(esa)],[c_8]) ).
cnf(c_58932,plain,
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_191670,plain,
( ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58932]) ).
cnf(c_682603,plain,
( ~ product(e_4,e_3,e_3)
| ~ product(e_4,e_3,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_191670]) ).
cnf(c_60054,plain,
( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58920]) ).
cnf(c_682606,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_60054]) ).
cnf(c_60009,plain,
( ~ product(e_2,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58847]) ).
cnf(c_682576,plain,
( ~ product(e_2,e_5,e_2)
| ~ product(e_1,e_5,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_60009]) ).
cnf(c_59726,plain,
( ~ product(e_3,e_3,X0)
| ~ product(e_3,e_1,X0)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58920]) ).
cnf(c_682519,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_3)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59726]) ).
cnf(c_58865,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_191354,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_58865]) ).
cnf(c_682503,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_191354]) ).
cnf(c_59032,plain,
( ~ product(e_3,X0,X1)
| product(e_3,X1,X2)
| ~ product(X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_59698,plain,
( product(e_3,X0,e_3)
| ~ product(e_3,X1,X0)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_59032]) ).
cnf(c_191008,plain,
( product(e_3,e_2,e_3)
| ~ product(e_3,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59698]) ).
cnf(c_682507,plain,
( product(e_3,e_2,e_3)
| ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_191008]) ).
cnf(c_59283,plain,
( ~ product(e_2,X0,e_5)
| product(X1,e_2,e_5)
| ~ product(X1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_59020]) ).
cnf(c_59765,plain,
( product(e_3,e_2,e_5)
| ~ product(e_3,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59283]) ).
cnf(c_682508,plain,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(instantiation,[status(thm)],[c_59765]) ).
cnf(c_59706,plain,
( product(e_3,e_2,e_1)
| ~ product(e_3,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(instantiation,[status(thm)],[c_59032]) ).
cnf(c_682512,plain,
( ~ product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59706]) ).
cnf(c_59273,plain,
( product(e_3,e_1,X0)
| ~ product(e_3,X1,e_1)
| ~ product(e_1,X1,X0) ),
inference(instantiation,[status(thm)],[c_59032]) ).
cnf(c_59667,plain,
( product(e_3,e_1,e_3)
| ~ product(e_3,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59273]) ).
cnf(c_682434,plain,
( ~ product(e_3,e_3,e_1)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_59667]) ).
cnf(c_58937,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_59134,plain,
( ~ product(e_3,X0,e_1)
| ~ product(e_2,X0,e_1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58937]) ).
cnf(c_682435,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59134]) ).
cnf(c_58919,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_59132,plain,
( ~ product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58919]) ).
cnf(c_682436,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_1,e_3,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59132]) ).
cnf(c_59126,plain,
( ~ product(e_3,X0,e_1)
| ~ product(e_2,X0,e_1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_58865]) ).
cnf(c_682437,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_59126]) ).
cnf(c_59670,plain,
( product(e_3,e_1,e_5)
| ~ product(e_3,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59273]) ).
cnf(c_682440,plain,
( ~ product(e_3,e_3,e_1)
| product(e_3,e_1,e_5)
| ~ product(e_1,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59670]) ).
cnf(c_59687,plain,
( product(e_3,e_1,e_4)
| ~ product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59273]) ).
cnf(c_682442,plain,
( ~ product(e_3,e_3,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59687]) ).
cnf(c_59680,plain,
( product(e_3,e_1,e_2)
| ~ product(e_3,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_59273]) ).
cnf(c_682443,plain,
( ~ product(e_3,e_3,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59680]) ).
cnf(c_58848,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_60047,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58848]) ).
cnf(c_682350,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_60047]) ).
cnf(c_58812,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_59371,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_5,e_1,X0)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_58812]) ).
cnf(c_682034,plain,
( ~ product(e_5,e_4,e_2)
| ~ product(e_5,e_1,e_2)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59371]) ).
cnf(c_59464,plain,
( ~ product(X0,e_5,X1)
| ~ product(X0,e_3,X1)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_681835,plain,
( ~ product(e_4,e_5,e_1)
| ~ product(e_4,e_3,e_1)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_59464]) ).
cnf(c_681663,plain,
( ~ product(e_4,e_3,X0)
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59303]) ).
cnf(c_681681,plain,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_1,e_5)
| ~ product(e_1,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_681663]) ).
cnf(c_191616,plain,
( product(e_2,X0,e_2)
| ~ product(e_2,X1,X0)
| ~ product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_59000]) ).
cnf(c_681620,plain,
( ~ product(e_3,X0,e_2)
| product(e_2,e_3,e_2)
| ~ product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_191616]) ).
cnf(c_681623,plain,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_681620]) ).
cnf(c_681096,plain,
( ~ product(X0,e_4,e_3)
| ~ product(X1,e_4,X0)
| product(X1,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59022]) ).
cnf(c_681557,plain,
( ~ product(e_3,e_4,X0)
| product(e_3,X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_681096]) ).
cnf(c_681558,plain,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_681557]) ).
cnf(c_681480,plain,
( ~ product(e_4,e_4,X0)
| product(e_4,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59303]) ).
cnf(c_681481,plain,
( ~ product(e_4,e_4,e_1)
| product(e_4,e_1,e_5)
| ~ product(e_1,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_681480]) ).
cnf(c_681189,plain,
( ~ product(X0,e_4,X1)
| ~ product(X1,e_4,X2)
| product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_681190,plain,
( ~ product(e_1,e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_681189]) ).
cnf(c_681107,plain,
( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59099]) ).
cnf(c_681116,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_681107]) ).
cnf(c_59042,plain,
( ~ product(e_3,X0,X1)
| product(X2,e_3,X1)
| ~ product(X2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_59194,plain,
( ~ product(e_3,X0,e_1)
| product(X1,e_3,e_1)
| ~ product(X1,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59042]) ).
cnf(c_681051,plain,
( ~ product(e_3,e_4,e_1)
| ~ product(X0,e_4,e_3)
| product(X0,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59194]) ).
cnf(c_681052,plain,
( ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_4,e_3)
| product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_681051]) ).
cnf(c_59125,plain,
( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58848]) ).
cnf(c_681023,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59125]) ).
cnf(c_191318,plain,
( product(e_4,e_1,e_2)
| ~ product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_59000]) ).
cnf(c_681013,plain,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_191318]) ).
cnf(c_326370,plain,
( ~ product(e_5,X0,e_3)
| ~ product(e_2,X0,e_3)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59445]) ).
cnf(c_680793,plain,
( ~ product(e_5,e_4,e_3)
| ~ product(e_2,e_4,e_3)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_326370]) ).
cnf(c_326368,plain,
( ~ product(e_5,X0,e_3)
| ~ product(e_4,X0,e_3)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_59507]) ).
cnf(c_680785,plain,
( ~ product(e_5,e_4,e_3)
| ~ product(e_4,e_4,e_3)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_326368]) ).
cnf(c_680784,plain,
( ~ product(e_5,e_5,e_3)
| ~ product(e_4,e_5,e_3)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_326368]) ).
cnf(c_191624,plain,
( product(e_4,X0,e_2)
| ~ product(e_4,X1,X0)
| ~ product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_59000]) ).
cnf(c_461834,plain,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_191624]) ).
cnf(c_59292,plain,
( ~ product(e_3,X0,e_5)
| product(X1,e_3,e_5)
| ~ product(X1,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59042]) ).
cnf(c_59795,plain,
( ~ product(e_3,X0,e_5)
| product(e_2,e_3,e_5)
| ~ product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59292]) ).
cnf(c_461803,plain,
( ~ product(e_3,e_3,e_5)
| product(e_2,e_3,e_5)
| ~ product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_59795]) ).
cnf(c_461777,plain,
( ~ product(e_3,e_3,e_5)
| product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_59292]) ).
cnf(c_461778,plain,
( ~ product(e_3,e_3,e_5)
| product(e_1,e_3,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_461777]) ).
cnf(c_59719,plain,
( product(e_3,X0,e_2)
| ~ product(e_3,X1,X0)
| ~ product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_59032]) ).
cnf(c_461733,plain,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59719]) ).
cnf(c_461722,plain,
( ~ product(e_5,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59258]) ).
cnf(c_59149,plain,
( ~ product(X0,X1,e_5)
| ~ product(X0,X1,e_4)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_461713,plain,
( ~ product(e_3,e_1,e_5)
| ~ product(e_3,e_1,e_4)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59149]) ).
cnf(c_192017,plain,
( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_4)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_58830]) ).
cnf(c_461659,plain,
( ~ product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_4)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_192017]) ).
cnf(c_461653,plain,
( ~ product(e_3,e_5,e_4)
| ~ product(e_3,e_3,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_192015]) ).
cnf(c_461651,plain,
( ~ product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_192015]) ).
cnf(c_59724,plain,
( product(e_3,e_3,X0)
| ~ product(e_3,X1,e_3)
| ~ product(e_3,X1,X0) ),
inference(instantiation,[status(thm)],[c_59032]) ).
cnf(c_191003,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59724]) ).
cnf(c_461587,plain,
( ~ product(e_3,e_4,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_191003]) ).
cnf(c_59214,plain,
( ~ product(e_3,e_5,X0)
| ~ product(e_2,e_5,X0)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58937]) ).
cnf(c_461539,plain,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_5,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59214]) ).
cnf(c_326345,plain,
( product(e_5,e_3,e_1)
| ~ product(e_5,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(instantiation,[status(thm)],[c_59194]) ).
cnf(c_461474,plain,
( ~ product(e_5,e_3,e_3)
| product(e_5,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_326345]) ).
cnf(c_461473,plain,
( ~ product(e_5,e_4,e_3)
| product(e_5,e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_326345]) ).
cnf(c_59205,plain,
( ~ product(e_2,e_5,X0)
| ~ product(X1,e_5,e_2)
| product(X1,e_2,X0) ),
inference(instantiation,[status(thm)],[c_59020]) ).
cnf(c_191997,plain,
( ~ product(e_2,e_5,e_4)
| ~ product(X0,e_5,e_2)
| product(X0,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59205]) ).
cnf(c_461453,plain,
( ~ product(e_5,e_5,e_2)
| product(e_5,e_2,e_4)
| ~ product(e_2,e_5,e_4) ),
inference(instantiation,[status(thm)],[c_191997]) ).
cnf(c_191585,plain,
( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58848]) ).
cnf(c_461344,plain,
( ~ product(e_5,e_2,e_4)
| ~ product(e_5,e_1,e_4)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_191585]) ).
cnf(c_59305,plain,
( ~ product(e_4,X0,e_5)
| product(X1,e_4,e_5)
| ~ product(X1,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59064]) ).
cnf(c_59833,plain,
( product(e_5,e_4,e_5)
| ~ product(e_5,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59305]) ).
cnf(c_461334,plain,
( product(e_5,e_4,e_5)
| ~ product(e_5,e_4,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59833]) ).
cnf(c_461285,plain,
( ~ product(e_5,e_4,e_4)
| ~ product(e_5,e_1,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59371]) ).
cnf(c_58884,plain,
( ~ product(X0,e_4,X1)
| ~ product(X0,e_2,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_59370,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_5,e_2,X0)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_58884]) ).
cnf(c_461271,plain,
( ~ product(e_5,e_4,e_4)
| ~ product(e_5,e_2,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59370]) ).
cnf(c_326003,plain,
( ~ product(e_5,X0,e_2)
| ~ product(e_4,X0,e_2)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_59507]) ).
cnf(c_461264,plain,
( ~ product(e_5,e_3,e_2)
| ~ product(e_4,e_3,e_2)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_326003]) ).
cnf(c_59369,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_5,e_3,X0)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58956]) ).
cnf(c_461258,plain,
( ~ product(e_5,e_4,e_2)
| ~ product(e_5,e_3,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59369]) ).
cnf(c_461244,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_5,e_3,X0)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_59117]) ).
cnf(c_461252,plain,
( ~ product(e_5,e_4,e_1)
| ~ product(e_5,e_3,e_1)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_461244]) ).
cnf(c_461218,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_3,e_4,X0)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_59463]) ).
cnf(c_461233,plain,
( ~ product(e_5,e_4,e_1)
| ~ product(e_3,e_4,e_1)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_461218]) ).
cnf(c_461219,plain,
( ~ product(e_5,e_4,X0)
| ~ product(e_2,e_4,X0)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59445]) ).
cnf(c_461232,plain,
( ~ product(e_5,e_4,e_1)
| ~ product(e_2,e_4,e_1)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_461219]) ).
cnf(c_461203,plain,
( ~ product(e_5,e_4,X0)
| product(e_5,X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_59359]) ).
cnf(c_461210,plain,
( ~ product(e_5,e_4,e_1)
| product(e_5,e_1,e_4)
| ~ product(e_1,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_461203]) ).
cnf(c_461205,plain,
( ~ product(e_5,e_4,X0)
| product(e_5,X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59331]) ).
cnf(c_461208,plain,
( ~ product(e_5,e_4,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_461205]) ).
cnf(c_461195,plain,
( ~ product(e_5,e_4,e_1)
| product(e_5,e_1,e_5)
| ~ product(e_1,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_191306]) ).
cnf(c_58973,plain,
( ~ product(e_5,X0,X1)
| ~ product(e_3,X0,X1)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_59138,plain,
( ~ product(e_5,X0,e_1)
| ~ product(e_3,X0,e_1)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_58973]) ).
cnf(c_461196,plain,
( ~ product(e_5,e_4,e_1)
| ~ product(e_3,e_4,e_1)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59138]) ).
cnf(c_58901,plain,
( ~ product(e_5,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_59130,plain,
( ~ product(e_5,X0,e_1)
| ~ product(e_2,X0,e_1)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_58901]) ).
cnf(c_461197,plain,
( ~ product(e_5,e_4,e_1)
| ~ product(e_2,e_4,e_1)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_59130]) ).
cnf(c_58829,plain,
( ~ product(e_5,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_191338,plain,
( ~ product(e_5,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_58829]) ).
cnf(c_461182,plain,
( ~ product(e_5,e_4,e_2)
| ~ product(e_1,e_4,e_2)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_191338]) ).
cnf(c_461163,plain,
( ~ product(e_5,e_4,e_4)
| product(e_1,e_5,e_4)
| ~ product(e_1,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59258]) ).
cnf(c_461138,plain,
( ~ product(e_5,e_1,e_4)
| ~ product(e_4,e_1,e_4)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_59507]) ).
cnf(c_461143,plain,
( ~ product(e_5,e_1,e_4)
| ~ product(e_3,e_1,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_58973]) ).
cnf(c_461123,plain,
( ~ product(e_4,e_4,e_2)
| product(e_4,e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(instantiation,[status(thm)],[c_60021]) ).
cnf(c_461124,plain,
( ~ product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_461123]) ).
cnf(c_461113,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_2)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_325895]) ).
cnf(c_461115,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_1,e_4,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_191435]) ).
cnf(c_461116,plain,
( ~ product(e_4,e_4,e_2)
| product(e_4,e_2,e_5)
| ~ product(e_2,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_191054]) ).
cnf(c_191063,plain,
( product(e_4,e_3,e_5)
| ~ product(e_4,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59303]) ).
cnf(c_461092,plain,
( ~ product(e_4,e_5,e_3)
| product(e_4,e_3,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(instantiation,[status(thm)],[c_191063]) ).
cnf(c_461062,plain,
( ~ product(e_4,e_5,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_191624]) ).
cnf(c_461055,plain,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_5,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59098]) ).
cnf(c_461056,plain,
( ~ product(e_4,e_5,e_3)
| ~ product(e_1,e_5,e_3)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_58991]) ).
cnf(c_59325,plain,
( product(e_5,e_2,X0)
| ~ product(e_5,X1,e_2)
| ~ product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_59076]) ).
cnf(c_461025,plain,
( ~ product(e_5,e_3,e_2)
| product(e_5,e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_59325]) ).
cnf(c_461026,plain,
( ~ product(e_5,e_3,e_2)
| product(e_5,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_461025]) ).
cnf(c_59351,plain,
( ~ product(e_5,e_3,X0)
| ~ product(e_5,e_1,X0)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58920]) ).
cnf(c_461023,plain,
( ~ product(e_5,e_3,e_2)
| ~ product(e_5,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59351]) ).
cnf(c_460999,plain,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_3,e_2)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_325981]) ).
cnf(c_325937,plain,
( ~ product(e_5,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_59172]) ).
cnf(c_461001,plain,
( ~ product(e_5,e_3,e_2)
| ~ product(e_1,e_3,e_2)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_325937]) ).
cnf(c_325915,plain,
( ~ product(e_5,X0,e_2)
| ~ product(e_4,X0,e_2)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59154]) ).
cnf(c_461002,plain,
( ~ product(e_5,e_3,e_2)
| ~ product(e_4,e_3,e_2)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_325915]) ).
cnf(c_190972,plain,
( product(e_5,e_2,e_3)
| ~ product(e_5,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_59338]) ).
cnf(c_461009,plain,
( ~ product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_190972]) ).
cnf(c_59749,plain,
( product(e_5,e_2,e_5)
| ~ product(e_5,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59283]) ).
cnf(c_461011,plain,
( ~ product(e_5,e_3,e_2)
| product(e_5,e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59749]) ).
cnf(c_59242,plain,
( ~ product(e_5,X0,e_2)
| product(X1,e_5,e_2)
| ~ product(X1,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59086]) ).
cnf(c_461012,plain,
( ~ product(e_5,e_3,e_2)
| product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59242]) ).
cnf(c_461015,plain,
( ~ product(e_5,e_3,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_461012]) ).
cnf(c_460985,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59726]) ).
cnf(c_191388,plain,
( ~ product(e_3,X0,e_2)
| ~ product(e_1,X0,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58919]) ).
cnf(c_460971,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_1,e_3,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_191388]) ).
cnf(c_460977,plain,
( ~ product(e_3,e_3,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59765]) ).
cnf(c_460939,plain,
( ~ product(e_5,e_2,e_2)
| product(e_5,e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_59325]) ).
cnf(c_460940,plain,
( ~ product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_460939]) ).
cnf(c_59326,plain,
( ~ product(e_5,e_2,X0)
| ~ product(e_5,e_1,X0)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58848]) ).
cnf(c_460938,plain,
( ~ product(e_5,e_2,e_2)
| ~ product(e_5,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59326]) ).
cnf(c_191372,plain,
( ~ product(e_5,X0,e_2)
| ~ product(e_2,X0,e_2)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_58901]) ).
cnf(c_460922,plain,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_191372]) ).
cnf(c_460925,plain,
( product(e_5,e_2,e_3)
| ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_190972]) ).
cnf(c_460927,plain,
( product(e_5,e_2,e_5)
| ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(instantiation,[status(thm)],[c_59749]) ).
cnf(c_58938,plain,
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_60053,plain,
( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58938]) ).
cnf(c_460907,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_60053]) ).
cnf(c_326884,plain,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_5,e_2)
| ~ product(e_4,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_191624]) ).
cnf(c_326876,plain,
( ~ product(e_4,e_3,e_5)
| ~ product(e_3,e_3,e_5)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_59116]) ).
cnf(c_191525,plain,
( ~ product(e_4,X0,e_5)
| ~ product(e_2,X0,e_5)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59098]) ).
cnf(c_326868,plain,
( ~ product(e_4,e_3,e_5)
| ~ product(e_2,e_3,e_5)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_191525]) ).
cnf(c_191438,plain,
( ~ product(e_4,X0,e_5)
| ~ product(e_1,X0,e_5)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_58991]) ).
cnf(c_326869,plain,
( ~ product(e_4,e_3,e_5)
| ~ product(e_1,e_3,e_5)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_191438]) ).
cnf(c_60064,plain,
( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_58884]) ).
cnf(c_326850,plain,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_60064]) ).
cnf(c_58776,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_59718,plain,
( ~ product(e_3,e_2,X0)
| ~ product(e_3,e_1,X0)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_58776]) ).
cnf(c_326816,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_59718]) ).
cnf(c_59349,plain,
( product(e_5,e_3,X0)
| ~ product(e_5,X1,e_3)
| ~ product(e_3,X1,X0) ),
inference(instantiation,[status(thm)],[c_59076]) ).
cnf(c_326794,plain,
( product(e_5,e_3,e_1)
| ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59349]) ).
cnf(c_326755,plain,
( ~ product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_191624]) ).
cnf(c_326743,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_191616]) ).
cnf(c_326735,plain,
( product(e_2,e_2,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_191616]) ).
cnf(c_326736,plain,
( product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_326735]) ).
cnf(c_191642,plain,
( ~ product(e_3,e_3,X0)
| ~ product(X1,e_3,e_3)
| product(X1,e_3,X0) ),
inference(instantiation,[status(thm)],[c_59042]) ).
cnf(c_326653,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(X0,e_3,e_3)
| product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_191642]) ).
cnf(c_326654,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_326653]) ).
cnf(c_191557,plain,
( ~ product(e_2,e_2,e_4)
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_59020]) ).
cnf(c_326597,plain,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_191557]) ).
cnf(c_326593,plain,
( product(e_5,e_2,e_4)
| ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_191557]) ).
cnf(c_326528,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_191003]) ).
cnf(c_6,plain,
( product(X0,X1,e_5)
| 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/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_40_6) ).
cnf(c_111,plain,
( product(X0,X1,e_5)
| 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_6]) ).
cnf(c_59078,plain,
( product(X0,e_5,e_5)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_326421,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_59078]) ).
cnf(c_326413,plain,
( ~ product(e_5,e_4,e_3)
| product(e_5,e_3,e_5)
| ~ product(e_3,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59349]) ).
cnf(c_59224,plain,
( ~ product(e_5,X0,X1)
| product(e_4,e_5,X1)
| ~ product(e_4,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59086]) ).
cnf(c_326376,plain,
( ~ product(e_5,X0,e_3)
| product(e_4,e_5,e_3)
| ~ product(e_4,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59224]) ).
cnf(c_326379,plain,
( ~ product(e_5,e_1,e_3)
| product(e_4,e_5,e_3)
| ~ product(e_4,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_326376]) ).
cnf(c_326356,plain,
( product(e_5,e_3,e_2)
| ~ product(e_5,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_59331]) ).
cnf(c_326358,plain,
( product(e_5,e_3,e_2)
| ~ product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_326356]) ).
cnf(c_59266,plain,
( ~ product(X0,e_5,e_2)
| ~ product(X1,e_5,X0)
| product(X1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_59000]) ).
cnf(c_60002,plain,
( ~ product(e_5,e_5,X0)
| product(e_5,X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59266]) ).
cnf(c_326347,plain,
( ~ product(e_5,e_5,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_60002]) ).
cnf(c_59068,plain,
( product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(e_5)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_326346,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(instantiation,[status(thm)],[c_59068]) ).
cnf(c_59056,plain,
( product(X0,e_4,e_5)
| 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_111]) ).
cnf(c_326324,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(instantiation,[status(thm)],[c_59056]) ).
cnf(c_58883,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_59227,plain,
( ~ product(e_4,e_5,X0)
| ~ product(e_2,e_5,X0)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_58883]) ).
cnf(c_326318,plain,
( ~ product(e_4,e_5,e_4)
| ~ product(e_2,e_5,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59227]) ).
cnf(c_59046,plain,
( product(e_4,X0,e_5)
| 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_111]) ).
cnf(c_326313,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(instantiation,[status(thm)],[c_59046]) ).
cnf(c_326297,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_58956]) ).
cnf(c_326293,plain,
( product(e_4,e_4,e_5)
| 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_59046]) ).
cnf(c_326266,plain,
( ~ product(e_4,X0,e_4)
| ~ product(e_3,X0,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58955]) ).
cnf(c_326271,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_3,e_1,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_326266]) ).
cnf(c_191029,plain,
( ~ product(e_4,X0,e_3)
| product(e_3,e_4,e_3)
| ~ product(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59698]) ).
cnf(c_326255,plain,
( ~ product(e_4,e_3,e_3)
| product(e_3,e_4,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_191029]) ).
cnf(c_59034,plain,
( product(X0,e_3,e_5)
| 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_111]) ).
cnf(c_326253,plain,
( product(e_4,e_3,e_5)
| 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_59034]) ).
cnf(c_326216,plain,
( product(e_5,e_3,e_4)
| ~ product(e_5,e_3,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59359]) ).
cnf(c_326218,plain,
( ~ product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59331]) ).
cnf(c_326214,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(instantiation,[status(thm)],[c_59034]) ).
cnf(c_59024,plain,
( product(e_3,X0,e_5)
| 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_111]) ).
cnf(c_326180,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3) ),
inference(instantiation,[status(thm)],[c_59024]) ).
cnf(c_326171,plain,
( ~ product(e_3,e_4,e_4)
| ~ product(e_3,e_1,e_4)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_58992]) ).
cnf(c_326168,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(instantiation,[status(thm)],[c_59024]) ).
cnf(c_59093,plain,
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_2)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_326159,plain,
( ~ product(e_3,X0,e_4)
| ~ product(e_3,X0,e_2)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59093]) ).
cnf(c_326166,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_1,e_2)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_326159]) ).
cnf(c_326144,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(instantiation,[status(thm)],[c_59024]) ).
cnf(c_326128,plain,
( ~ product(e_3,X0,e_4)
| ~ product(e_2,X0,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58937]) ).
cnf(c_326136,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_1,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_326128]) ).
cnf(c_326129,plain,
( ~ product(e_3,X0,e_4)
| ~ product(e_1,X0,e_4)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58919]) ).
cnf(c_326135,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_1,e_4)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_326129]) ).
cnf(c_59012,plain,
( product(X0,e_2,e_5)
| 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_111]) ).
cnf(c_326115,plain,
( product(e_3,e_2,e_5)
| 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_59012]) ).
cnf(c_326113,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_59012]) ).
cnf(c_326111,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_59012]) ).
cnf(c_59002,plain,
( product(e_2,X0,e_5)
| 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_111]) ).
cnf(c_326096,plain,
( product(e_2,e_3,e_5)
| 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_59002]) ).
cnf(c_326076,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_59002]) ).
cnf(c_326018,plain,
( ~ product(e_5,e_5,e_5)
| ~ product(e_5,e_4,e_5)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_59508]) ).
cnf(c_326015,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_2)
| equalish(e_5,e_4) ),
inference(instantiation,[status(thm)],[c_326014]) ).
cnf(c_325996,plain,
( ~ product(e_5,e_5,e_5)
| ~ product(e_5,e_3,e_5)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_59464]) ).
cnf(c_325989,plain,
( ~ product(e_5,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_59463]) ).
cnf(c_325987,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_3,e_4)
| equalish(e_5,e_3) ),
inference(instantiation,[status(thm)],[c_59463]) ).
cnf(c_59446,plain,
( ~ product(X0,e_5,X1)
| ~ product(X0,e_2,X1)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_325975,plain,
( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59446]) ).
cnf(c_325976,plain,
( ~ product(e_1,e_5,e_4)
| ~ product(e_1,e_2,e_4)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_325975]) ).
cnf(c_325974,plain,
( ~ product(e_5,e_5,e_5)
| ~ product(e_5,e_2,e_5)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59446]) ).
cnf(c_325967,plain,
( ~ product(e_5,e_3,e_3)
| ~ product(e_2,e_3,e_3)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59445]) ).
cnf(c_325965,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59445]) ).
cnf(c_325964,plain,
( ~ product(e_5,e_5,e_4)
| ~ product(e_2,e_5,e_4)
| equalish(e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59445]) ).
cnf(c_325944,plain,
( ~ product(e_5,e_2,e_4)
| ~ product(e_1,e_2,e_4)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_59172]) ).
cnf(c_325943,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_1,e_3,e_4)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_59172]) ).
cnf(c_325941,plain,
( ~ product(e_5,e_5,e_5)
| ~ product(e_1,e_5,e_5)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_59172]) ).
cnf(c_325921,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_3,e_4)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59154]) ).
cnf(c_325919,plain,
( ~ product(e_5,e_5,e_5)
| ~ product(e_4,e_5,e_5)
| equalish(e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59154]) ).
cnf(c_325901,plain,
( ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_4,e_3) ),
inference(instantiation,[status(thm)],[c_59116]) ).
cnf(c_191401,plain,
( ~ product(e_3,X0,e_3)
| ~ product(e_2,X0,e_3)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58937]) ).
cnf(c_325864,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_2,e_3,e_3)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_191401]) ).
cnf(c_191391,plain,
( ~ product(e_3,X0,e_3)
| ~ product(e_1,X0,e_3)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58919]) ).
cnf(c_325863,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_1,e_3,e_3)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_191391]) ).
cnf(c_191357,plain,
( ~ product(e_3,X0,e_3)
| ~ product(e_2,X0,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_58865]) ).
cnf(c_325857,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_2,e_3,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_191357]) ).
cnf(c_58793,plain,
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_191323,plain,
( ~ product(e_3,X0,e_3)
| ~ product(e_1,X0,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_58793]) ).
cnf(c_325851,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_191323]) ).
cnf(c_325836,plain,
( product(e_4,e_3,e_5)
| ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_191063]) ).
cnf(c_192021,plain,
( ~ product(e_1,e_5,e_4)
| ~ product(e_1,e_3,e_4)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_192015]) ).
cnf(c_60006,plain,
( ~ product(e_2,e_5,X0)
| product(e_2,X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59266]) ).
cnf(c_191995,plain,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_5,e_4)
| product(e_2,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_60006]) ).
cnf(c_59206,plain,
( ~ product(e_2,e_5,X0)
| ~ product(e_1,e_5,X0)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58847]) ).
cnf(c_191999,plain,
( ~ product(e_2,e_5,e_4)
| ~ product(e_1,e_5,e_4)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59206]) ).
cnf(c_59884,plain,
( ~ product(e_5,e_3,e_4)
| product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59258]) ).
cnf(c_191994,plain,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59884]) ).
cnf(c_191707,plain,
( product(e_5,e_4,X0)
| ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_3,X0) ),
inference(instantiation,[status(thm)],[c_59368]) ).
cnf(c_191708,plain,
( product(e_5,e_4,e_1)
| ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_191707]) ).
cnf(c_191705,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_5,e_1,e_4)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59351]) ).
cnf(c_59350,plain,
( ~ product(e_5,e_3,X0)
| ~ product(e_5,e_2,X0)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58938]) ).
cnf(c_191706,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_5,e_2,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59350]) ).
cnf(c_191654,plain,
( ~ product(e_4,e_3,e_3)
| ~ product(e_2,e_3,e_3)
| equalish(e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59098]) ).
cnf(c_191656,plain,
( ~ product(e_4,e_3,e_3)
| product(e_4,e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(instantiation,[status(thm)],[c_59054]) ).
cnf(c_191663,plain,
( ~ product(e_4,e_3,e_3)
| product(e_4,e_3,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_191656]) ).
cnf(c_191658,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_58955]) ).
cnf(c_191644,plain,
( ~ product(e_3,e_3,X0)
| ~ product(e_2,e_3,e_3)
| product(e_2,e_3,X0) ),
inference(instantiation,[status(thm)],[c_59010]) ).
cnf(c_191650,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_2,e_3,e_3)
| product(e_2,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_191644]) ).
cnf(c_191646,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_1,e_3,e_3)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58847]) ).
cnf(c_59789,plain,
( product(e_5,e_3,e_5)
| ~ product(e_5,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59292]) ).
cnf(c_191631,plain,
( product(e_5,e_3,e_5)
| ~ product(e_5,e_3,e_3)
| ~ product(e_3,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59789]) ).
cnf(c_191549,plain,
( ~ product(e_5,e_2,e_4)
| product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(instantiation,[status(thm)],[c_59258]) ).
cnf(c_191553,plain,
( ~ product(e_5,e_2,e_4)
| product(e_1,e_5,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(instantiation,[status(thm)],[c_191549]) ).
cnf(c_59892,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(X0,e_3,e_2)
| product(X0,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59020]) ).
cnf(c_191547,plain,
( ~ product(e_5,e_3,e_2)
| product(e_5,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59892]) ).
cnf(c_191436,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_4,e_1) ),
inference(instantiation,[status(thm)],[c_191435]) ).
cnf(c_191430,plain,
( ~ product(e_3,e_5,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_58974]) ).
cnf(c_191416,plain,
( ~ product(e_5,X0,e_2)
| ~ product(e_3,X0,e_2)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_58973]) ).
cnf(c_191417,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_191416]) ).
cnf(c_191389,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_191388]) ).
cnf(c_191360,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_58865]) ).
cnf(c_191350,plain,
( ~ product(e_5,e_5,e_5)
| ~ product(e_5,e_1,e_5)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_58830]) ).
cnf(c_191343,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_1,e_3,e_4)
| equalish(e_1,e_5) ),
inference(instantiation,[status(thm)],[c_58829]) ).
cnf(c_191326,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_3,e_4)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[c_58793]) ).
cnf(c_191319,plain,
( product(e_4,e_1,e_2)
| ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_191318]) ).
cnf(c_191302,plain,
( ~ product(e_4,e_4,e_5)
| ~ product(e_4,e_3,e_5)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59866]) ).
cnf(c_191286,plain,
( product(e_5,e_4,e_5)
| ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59833]) ).
cnf(c_59823,plain,
( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58920]) ).
cnf(c_191279,plain,
( ~ product(e_4,e_3,e_5)
| ~ product(e_4,e_1,e_5)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59823]) ).
cnf(c_59782,plain,
( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58848]) ).
cnf(c_191267,plain,
( ~ product(e_4,e_2,e_5)
| ~ product(e_4,e_1,e_5)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59782]) ).
cnf(c_59225,plain,
( ~ product(e_4,e_5,X0)
| ~ product(X1,e_5,e_4)
| product(X1,e_4,X0) ),
inference(instantiation,[status(thm)],[c_59064]) ).
cnf(c_59660,plain,
( ~ product(e_4,e_5,e_5)
| ~ product(X0,e_5,e_4)
| product(X0,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59225]) ).
cnf(c_191247,plain,
( ~ product(e_4,e_5,e_5)
| ~ product(e_2,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59660]) ).
cnf(c_191225,plain,
( ~ product(e_5,e_5,e_4)
| product(e_5,e_4,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(instantiation,[status(thm)],[c_59660]) ).
cnf(c_59787,plain,
( ~ product(X0,e_3,e_5)
| ~ product(X1,e_3,X0)
| product(X1,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59066]) ).
cnf(c_191062,plain,
( ~ product(e_4,e_3,e_5)
| product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59787]) ).
cnf(c_191064,plain,
( ~ product(e_4,e_3,e_5)
| product(e_1,e_4,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_191062]) ).
cnf(c_191056,plain,
( product(e_4,e_2,e_5)
| ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_191054]) ).
cnf(c_59733,plain,
( product(e_3,X0,e_4)
| ~ product(e_3,X1,X0)
| ~ product(X0,X1,e_4) ),
inference(instantiation,[status(thm)],[c_59032]) ).
cnf(c_191051,plain,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59733]) ).
cnf(c_191048,plain,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59733]) ).
cnf(c_191043,plain,
( product(e_3,e_2,e_4)
| ~ product(e_3,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59733]) ).
cnf(c_191044,plain,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_191043]) ).
cnf(c_191042,plain,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59719]) ).
cnf(c_191040,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_59719]) ).
cnf(c_191039,plain,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59719]) ).
cnf(c_59739,plain,
( ~ product(e_3,e_4,X0)
| ~ product(e_3,e_3,X0)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58956]) ).
cnf(c_191032,plain,
( ~ product(e_3,e_4,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59739]) ).
cnf(c_191033,plain,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_4,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_191029]) ).
cnf(c_191014,plain,
( ~ product(e_3,X0,e_3)
| ~ product(e_3,X0,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58932]) ).
cnf(c_191021,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_1,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_191014]) ).
cnf(c_191004,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_191003]) ).
cnf(c_190969,plain,
( product(e_5,e_4,e_2)
| ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59331]) ).
cnf(c_59290,plain,
( product(e_3,X0,e_5)
| ~ product(e_3,X1,X0)
| ~ product(X0,X1,e_5) ),
inference(instantiation,[status(thm)],[c_59066]) ).
cnf(c_60139,plain,
( ~ product(e_4,e_3,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59290]) ).
cnf(c_60130,plain,
( ~ product(e_4,e_3,e_5)
| product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59281]) ).
cnf(c_59279,plain,
( ~ product(e_4,e_5,X0)
| product(e_4,X0,X1)
| ~ product(X0,e_5,X1) ),
inference(instantiation,[status(thm)],[c_59054]) ).
cnf(c_60121,plain,
( ~ product(e_4,e_5,e_2)
| product(e_4,e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(instantiation,[status(thm)],[c_59279]) ).
cnf(c_60122,plain,
( ~ product(e_4,e_5,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(instantiation,[status(thm)],[c_60121]) ).
cnf(c_60062,plain,
( ~ product(e_4,e_5,e_2)
| ~ product(X0,e_5,e_4)
| product(X0,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_59266]) ).
cnf(c_60066,plain,
( ~ product(e_4,e_5,e_2)
| ~ product(e_1,e_5,e_4)
| product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_60062]) ).
cnf(c_60037,plain,
( product(e_3,e_3,e_2)
| ~ product(e_3,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_59724]) ).
cnf(c_60039,plain,
( product(e_3,e_3,e_2)
| ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_60037]) ).
cnf(c_60036,plain,
( ~ product(e_3,e_5,X0)
| product(e_3,X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59266]) ).
cnf(c_60038,plain,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_60036]) ).
cnf(c_60029,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_60023]) ).
cnf(c_60020,plain,
( ~ product(e_4,e_5,X0)
| product(e_4,X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_59266]) ).
cnf(c_60026,plain,
( ~ product(e_4,e_5,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_60020]) ).
cnf(c_60011,plain,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(instantiation,[status(thm)],[c_60006]) ).
cnf(c_59738,plain,
( ~ product(e_4,X0,X1)
| product(e_3,e_4,X1)
| ~ product(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59032]) ).
cnf(c_59998,plain,
( ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0)
| ~ product(e_3,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59738]) ).
cnf(c_59999,plain,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59998]) ).
cnf(c_59741,plain,
( ~ product(e_3,e_4,X0)
| ~ product(e_3,e_1,X0)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_58812]) ).
cnf(c_59945,plain,
( ~ product(e_3,e_4,e_5)
| ~ product(e_3,e_1,e_5)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59741]) ).
cnf(c_59740,plain,
( ~ product(e_3,e_4,X0)
| ~ product(e_3,e_2,X0)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_58884]) ).
cnf(c_59944,plain,
( ~ product(e_3,e_4,e_5)
| ~ product(e_3,e_2,e_5)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59740]) ).
cnf(c_59933,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_1,e_4)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59726]) ).
cnf(c_59932,plain,
( ~ product(e_3,e_3,e_5)
| ~ product(e_3,e_1,e_5)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59726]) ).
cnf(c_59725,plain,
( ~ product(e_3,e_3,X0)
| ~ product(e_3,e_2,X0)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58938]) ).
cnf(c_59930,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_2,e_4)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59725]) ).
cnf(c_59927,plain,
( ~ product(e_3,e_2,e_5)
| ~ product(e_3,e_1,e_5)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[c_59718]) ).
cnf(c_59903,plain,
( ~ product(e_4,e_3,e_4)
| ~ product(e_3,e_3,e_4)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58955]) ).
cnf(c_59904,plain,
( ~ product(e_4,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_58883]) ).
cnf(c_58811,plain,
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_59905,plain,
( ~ product(e_4,e_3,e_4)
| ~ product(e_1,e_3,e_4)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_58811]) ).
cnf(c_59891,plain,
( ~ product(e_4,e_3,X0)
| product(e_2,e_4,X0)
| ~ product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59010]) ).
cnf(c_59896,plain,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59891]) ).
cnf(c_59895,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59892]) ).
cnf(c_59893,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_4)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58847]) ).
cnf(c_59044,plain,
( ~ product(X0,X1,e_4)
| product(X2,X0,e_4)
| ~ product(X2,X1,X0) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_59688,plain,
( ~ product(e_3,e_1,e_4)
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_59044]) ).
cnf(c_59890,plain,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_59688]) ).
cnf(c_58878,plain,
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_59362,plain,
( ~ product(e_5,X0,e_4)
| ~ product(e_5,X0,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_58878]) ).
cnf(c_59886,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_5,e_3,e_2)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59362]) ).
cnf(c_59883,plain,
( product(e_5,e_3,e_4)
| ~ product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59688]) ).
cnf(c_59871,plain,
( ~ product(e_1,e_4,e_5)
| ~ product(e_1,e_3,e_5)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59866]) ).
cnf(c_59848,plain,
( ~ product(e_4,X0,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59305]) ).
cnf(c_59856,plain,
( ~ product(e_4,e_1,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59848]) ).
cnf(c_59204,plain,
( ~ product(e_5,X0,X1)
| product(e_2,e_5,X1)
| ~ product(e_2,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59086]) ).
cnf(c_59840,plain,
( ~ product(e_5,e_4,X0)
| product(e_2,e_5,X0)
| ~ product(e_2,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59204]) ).
cnf(c_59846,plain,
( ~ product(e_5,e_4,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59840]) ).
cnf(c_59284,plain,
( ~ product(e_2,X0,e_5)
| ~ product(e_1,X0,e_5)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_58847]) ).
cnf(c_59844,plain,
( ~ product(e_2,e_4,e_5)
| ~ product(e_1,e_4,e_5)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59284]) ).
cnf(c_59234,plain,
( product(e_5,e_5,X0)
| ~ product(e_5,X1,e_5)
| ~ product(e_5,X1,X0) ),
inference(instantiation,[status(thm)],[c_59086]) ).
cnf(c_59834,plain,
( product(e_5,e_5,e_5)
| ~ product(e_5,e_4,e_5) ),
inference(instantiation,[status(thm)],[c_59234]) ).
cnf(c_59822,plain,
( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58938]) ).
cnf(c_59829,plain,
( ~ product(e_1,e_3,e_5)
| ~ product(e_1,e_2,e_5)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59822]) ).
cnf(c_59315,plain,
( ~ product(e_5,X0,e_5)
| ~ product(e_3,X0,e_5)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_58973]) ).
cnf(c_59806,plain,
( ~ product(e_5,e_3,e_5)
| ~ product(e_3,e_3,e_5)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59315]) ).
cnf(c_59306,plain,
( ~ product(e_4,X0,e_5)
| ~ product(e_3,X0,e_5)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_58955]) ).
cnf(c_59807,plain,
( ~ product(e_4,e_3,e_5)
| ~ product(e_3,e_3,e_5)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59306]) ).
cnf(c_59294,plain,
( ~ product(e_3,X0,e_5)
| ~ product(e_1,X0,e_5)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58919]) ).
cnf(c_59810,plain,
( ~ product(e_3,e_3,e_5)
| ~ product(e_1,e_3,e_5)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59294]) ).
cnf(c_59293,plain,
( ~ product(e_3,X0,e_5)
| ~ product(e_2,X0,e_5)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58937]) ).
cnf(c_59811,plain,
( ~ product(e_3,e_3,e_5)
| ~ product(e_2,e_3,e_5)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59293]) ).
cnf(c_59796,plain,
( ~ product(e_5,e_3,X0)
| product(e_2,e_5,X0)
| ~ product(e_2,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59204]) ).
cnf(c_59802,plain,
( ~ product(e_5,e_3,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59796]) ).
cnf(c_59307,plain,
( ~ product(e_4,X0,e_5)
| ~ product(e_2,X0,e_5)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_58883]) ).
cnf(c_59798,plain,
( ~ product(e_4,e_3,e_5)
| ~ product(e_2,e_3,e_5)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59307]) ).
cnf(c_59800,plain,
( ~ product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_5)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59284]) ).
cnf(c_59308,plain,
( ~ product(e_4,X0,e_5)
| ~ product(e_1,X0,e_5)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_58811]) ).
cnf(c_59794,plain,
( ~ product(e_4,e_3,e_5)
| ~ product(e_1,e_3,e_5)
| equalish(e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59308]) ).
cnf(c_59790,plain,
( product(e_5,e_5,e_5)
| ~ product(e_5,e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59234]) ).
cnf(c_59791,plain,
( product(e_5,e_3,e_5)
| ~ product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59789]) ).
cnf(c_59768,plain,
( ~ product(e_4,e_2,e_5)
| ~ product(e_3,e_2,e_5)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59306]) ).
cnf(c_59771,plain,
( ~ product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_5)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59294]) ).
cnf(c_59773,plain,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59765]) ).
cnf(c_59750,plain,
( product(e_5,e_5,e_5)
| ~ product(e_5,e_2,e_5) ),
inference(instantiation,[status(thm)],[c_59234]) ).
cnf(c_59751,plain,
( product(e_5,e_2,e_5)
| ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59749]) ).
cnf(c_59742,plain,
( ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_2,e_1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59740]) ).
cnf(c_59711,plain,
( ~ product(e_4,X0,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_59032]) ).
cnf(c_59713,plain,
( ~ product(e_4,e_1,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59711]) ).
cnf(c_59709,plain,
( product(e_3,e_2,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_59706]) ).
cnf(c_59693,plain,
( ~ product(e_3,e_1,e_4)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_59688]) ).
cnf(c_59692,plain,
( product(e_3,e_1,e_4)
| ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59687]) ).
cnf(c_59681,plain,
( ~ product(e_3,e_1,e_2)
| product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_59000]) ).
cnf(c_59685,plain,
( ~ product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_59681]) ).
cnf(c_59684,plain,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_59680]) ).
cnf(c_59669,plain,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_59667]) ).
cnf(c_59653,plain,
( ~ product(e_2,e_5,e_5)
| ~ product(X0,e_5,e_2)
| product(X0,e_2,e_5) ),
inference(instantiation,[status(thm)],[c_59205]) ).
cnf(c_59654,plain,
( ~ product(e_2,e_5,e_5)
| ~ product(e_1,e_5,e_2)
| product(e_1,e_2,e_5) ),
inference(instantiation,[status(thm)],[c_59653]) ).
cnf(c_59196,plain,
( ~ product(e_5,X0,e_5)
| product(X1,e_5,e_5)
| ~ product(X1,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59086]) ).
cnf(c_59612,plain,
( product(e_5,e_5,e_5)
| ~ product(e_5,X0,e_5) ),
inference(instantiation,[status(thm)],[c_59196]) ).
cnf(c_59616,plain,
( product(e_5,e_5,e_5)
| ~ product(e_5,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59612]) ).
cnf(c_59375,plain,
( ~ product(e_5,e_4,e_1)
| ~ product(e_5,e_3,e_1)
| equalish(e_3,e_4) ),
inference(instantiation,[status(thm)],[c_59369]) ).
cnf(c_59374,plain,
( ~ product(e_5,e_4,e_1)
| ~ product(e_5,e_2,e_1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59370]) ).
cnf(c_59372,plain,
( product(e_5,e_4,e_1)
| ~ product(e_5,e_1,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_59368]) ).
cnf(c_59364,plain,
( product(e_5,e_1,e_4)
| ~ product(e_5,e_1,e_1)
| ~ product(e_1,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_59359]) ).
cnf(c_59358,plain,
( ~ product(e_5,e_3,e_1)
| ~ product(e_5,e_2,e_1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59350]) ).
cnf(c_59357,plain,
( ~ product(e_5,e_3,e_1)
| ~ product(e_5,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59351]) ).
cnf(c_59344,plain,
( product(e_5,e_1,e_3)
| ~ product(e_5,e_1,e_1)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_59338]) ).
cnf(c_59335,plain,
( product(e_5,e_1,e_2)
| ~ product(e_5,e_1,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_59331]) ).
cnf(c_59330,plain,
( ~ product(e_5,e_2,e_1)
| ~ product(e_5,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[c_59326]) ).
cnf(c_59328,plain,
( product(e_5,e_2,e_1)
| ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_59325]) ).
cnf(c_59321,plain,
( ~ product(e_5,e_1,e_5)
| ~ product(e_3,e_1,e_5)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59315]) ).
cnf(c_59318,plain,
( product(e_5,e_1,e_5)
| ~ product(e_5,e_1,e_1)
| ~ product(e_1,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59314]) ).
cnf(c_59311,plain,
( ~ product(e_4,e_1,e_5)
| ~ product(e_2,e_1,e_5)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59307]) ).
cnf(c_59309,plain,
( product(e_4,e_1,e_5)
| ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59303]) ).
cnf(c_59301,plain,
( ~ product(e_3,e_1,e_5)
| ~ product(e_2,e_1,e_5)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_59293]) ).
cnf(c_59300,plain,
( ~ product(e_3,e_1,e_5)
| ~ product(e_1,e_1,e_5)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59294]) ).
cnf(c_59295,plain,
( ~ product(e_3,X0,e_5)
| ~ product(e_2,X0,e_5)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_58865]) ).
cnf(c_59299,plain,
( ~ product(e_3,e_1,e_5)
| ~ product(e_2,e_1,e_5)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[c_59295]) ).
cnf(c_59297,plain,
( product(e_3,e_1,e_5)
| ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59290]) ).
cnf(c_59286,plain,
( product(e_2,e_1,e_5)
| ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59281]) ).
cnf(c_59235,plain,
( ~ product(e_5,e_5,X0)
| ~ product(e_3,e_5,X0)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_58973]) ).
cnf(c_59241,plain,
( ~ product(e_5,e_5,e_1)
| ~ product(e_3,e_5,e_1)
| equalish(e_3,e_5) ),
inference(instantiation,[status(thm)],[c_59235]) ).
cnf(c_59236,plain,
( ~ product(e_5,e_5,X0)
| ~ product(e_2,e_5,X0)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_58901]) ).
cnf(c_59240,plain,
( ~ product(e_5,e_5,e_1)
| ~ product(e_2,e_5,e_1)
| equalish(e_2,e_5) ),
inference(instantiation,[status(thm)],[c_59236]) ).
cnf(c_59231,plain,
( ~ product(e_4,e_5,e_1)
| ~ product(e_2,e_5,e_1)
| equalish(e_2,e_4) ),
inference(instantiation,[status(thm)],[c_59227]) ).
cnf(c_59229,plain,
( ~ product(e_5,e_1,e_1)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_1,e_5) ),
inference(instantiation,[status(thm)],[c_59224]) ).
cnf(c_59215,plain,
( ~ product(e_3,e_5,X0)
| ~ product(e_1,e_5,X0)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58919]) ).
cnf(c_59221,plain,
( ~ product(e_3,e_5,e_1)
| ~ product(e_1,e_5,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_59215]) ).
cnf(c_59176,plain,
( ~ product(e_5,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_5,e_1) ),
inference(instantiation,[status(thm)],[c_59172]) ).
cnf(c_59085,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_59078]) ).
cnf(c_59075,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_59068]) ).
cnf(c_59063,plain,
( product(e_1,e_4,e_5)
| 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_59056]) ).
cnf(c_59053,plain,
( product(e_4,e_1,e_5)
| 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_59046]) ).
cnf(c_59041,plain,
( product(e_1,e_3,e_5)
| 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_59034]) ).
cnf(c_59031,plain,
( product(e_3,e_1,e_5)
| 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_59024]) ).
cnf(c_59019,plain,
( product(e_1,e_2,e_5)
| 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_59012]) ).
cnf(c_59009,plain,
( product(e_2,e_1,e_5)
| 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_59002]) ).
cnf(c_58994,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_58992]) ).
cnf(c_58940,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_2,e_1)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[c_58938]) ).
cnf(c_58923,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[c_58919]) ).
cnf(c_58922,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_58920]) ).
cnf(c_97,plain,
( product(e_1,e_1,e_5)
| 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_6]) ).
cnf(c_66,plain,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_208_0) ).
cnf(c_67,plain,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_207_0) ).
cnf(c_68,plain,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_206_0) ).
cnf(c_69,plain,
group_element(e_4),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_205_0) ).
cnf(c_70,plain,
group_element(e_5),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_204_0) ).
cnf(c_71,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_203_0) ).
cnf(c_72,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_202_0) ).
cnf(c_73,plain,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_201_0) ).
cnf(c_74,plain,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_200_0) ).
cnf(c_75,plain,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_199_0) ).
cnf(c_76,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_198_0) ).
cnf(c_77,plain,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_197_0) ).
cnf(c_78,plain,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_196_0) ).
cnf(c_79,plain,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_195_0) ).
cnf(c_80,plain,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_194_0) ).
cnf(c_81,plain,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_193_0) ).
cnf(c_82,plain,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_192_0) ).
cnf(c_83,plain,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_191_0) ).
cnf(c_84,plain,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_190_0) ).
cnf(c_85,plain,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_189_0) ).
cnf(c_86,plain,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_188_0) ).
cnf(c_87,plain,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_187_0) ).
cnf(c_88,plain,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_186_0) ).
cnf(c_89,plain,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_185_0) ).
cnf(c_90,plain,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p',c_0_184_0) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_1268563,c_1268559,c_1268555,c_1268551,c_1268498,c_1268346,c_946211,c_946181,c_946154,c_946033,c_946027,c_945918,c_945909,c_945903,c_945891,c_945880,c_945879,c_945875,c_945864,c_945857,c_945859,c_945848,c_945832,c_945815,c_945783,c_945779,c_945559,c_945556,c_945417,c_682937,c_682782,c_682783,c_682784,c_682785,c_682786,c_682768,c_682769,c_682770,c_682762,c_682704,c_682673,c_682677,c_682680,c_682655,c_682627,c_682617,c_682619,c_682620,c_682623,c_682625,c_682603,c_682606,c_682576,c_682519,c_682503,c_682507,c_682508,c_682512,c_682434,c_682435,c_682436,c_682437,c_682440,c_682442,c_682443,c_682350,c_682034,c_681835,c_681681,c_681623,c_681558,c_681481,c_681190,c_681116,c_681052,c_681023,c_681013,c_680793,c_680785,c_680784,c_461834,c_461803,c_461778,c_461733,c_461722,c_461713,c_461659,c_461653,c_461651,c_461587,c_461539,c_461474,c_461473,c_461453,c_461344,c_461334,c_461285,c_461271,c_461264,c_461258,c_461252,c_461233,c_461232,c_461210,c_461208,c_461195,c_461196,c_461197,c_461182,c_461163,c_461138,c_461143,c_461124,c_461113,c_461115,c_461116,c_461092,c_461062,c_461055,c_461056,c_461026,c_461023,c_460999,c_461001,c_461002,c_461009,c_461011,c_461015,c_460985,c_460971,c_460977,c_460940,c_460938,c_460922,c_460925,c_460927,c_460907,c_326884,c_326876,c_326868,c_326869,c_326850,c_326816,c_326794,c_326755,c_326743,c_326736,c_326654,c_326597,c_326593,c_326528,c_326421,c_326413,c_326379,c_326358,c_326347,c_326346,c_326324,c_326318,c_326313,c_326297,c_326293,c_326271,c_326255,c_326253,c_326216,c_326218,c_326214,c_326180,c_326171,c_326168,c_326166,c_326144,c_326136,c_326135,c_326115,c_326113,c_326111,c_326096,c_326076,c_326018,c_326015,c_325996,c_325989,c_325987,c_325976,c_325974,c_325967,c_325965,c_325964,c_325944,c_325943,c_325941,c_325921,c_325919,c_325901,c_325864,c_325863,c_325857,c_325851,c_325836,c_192021,c_191995,c_191999,c_191994,c_191708,c_191705,c_191706,c_191654,c_191663,c_191658,c_191650,c_191646,c_191631,c_191553,c_191547,c_191436,c_191430,c_191417,c_191389,c_191360,c_191350,c_191343,c_191326,c_191319,c_191302,c_191286,c_191279,c_191267,c_191247,c_191225,c_191064,c_191056,c_191051,c_191048,c_191044,c_191042,c_191040,c_191039,c_191032,c_191033,c_191021,c_191004,c_190969,c_60139,c_60130,c_60122,c_60066,c_60039,c_60038,c_60029,c_60026,c_60011,c_59999,c_59945,c_59944,c_59933,c_59932,c_59930,c_59927,c_59903,c_59904,c_59905,c_59896,c_59895,c_59893,c_59890,c_59886,c_59883,c_59871,c_59856,c_59846,c_59844,c_59834,c_59829,c_59806,c_59807,c_59810,c_59811,c_59802,c_59798,c_59800,c_59794,c_59790,c_59791,c_59768,c_59771,c_59773,c_59750,c_59751,c_59742,c_59713,c_59709,c_59693,c_59692,c_59685,c_59684,c_59669,c_59654,c_59616,c_59375,c_59374,c_59372,c_59364,c_59358,c_59357,c_59344,c_59335,c_59330,c_59328,c_59321,c_59318,c_59311,c_59309,c_59301,c_59300,c_59299,c_59297,c_59286,c_59241,c_59240,c_59231,c_59229,c_59221,c_59176,c_59085,c_59075,c_59063,c_59053,c_59041,c_59031,c_59019,c_59009,c_58994,c_58940,c_58923,c_58922,c_97,c_66,c_67,c_68,c_69,c_70,c_71,c_72,c_73,c_74,c_75,c_76,c_77,c_78,c_79,c_80,c_81,c_82,c_83,c_84,c_85,c_86,c_87,c_88,c_89,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP128-3.005 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.14 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 15:00:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running in mono-core mode
% 0.21/0.43 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.43 % Orientation found
% 0.21/0.43 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_d7f49b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_83bcab.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_37301a | grep -v "SZS"
% 0.21/0.45
% 0.21/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ iProver source info
% 0.21/0.45
% 0.21/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.45 % git: non_committed_changes: true
% 0.21/0.45 % git: last_make_outside_of_git: true
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 0.21/0.45 % --inst_prop_sim_new false
% 0.21/0.45 % --inst_orphan_elimination true
% 0.21/0.45 % --inst_learning_loop_flag true
% 0.21/0.45 % --inst_learning_start 3000
% 0.21/0.45 % --inst_learning_factor 2
% 0.21/0.45 % --inst_start_prop_sim_after_learn 3
% 0.21/0.45 % --inst_sel_renew solver
% 0.21/0.45 % --inst_lit_activity_flag true
% 0.21/0.45 % --inst_out_proof true
% 0.21/0.45
% 0.21/0.45 % ------ Resolution Options
% 0.21/0.45
% 0.21/0.45 % --resolution_flag true
% 0.21/0.45 % --res_lit_sel kbo_max
% 0.21/0.45 % --res_to_prop_solver none
% 0.21/0.45 % --res_prop_simpl_new false
% 0.21/0.45 % --res_prop_simpl_given false
% 0.21/0.45 % --res_passive_queue_type priority_queues
% 0.21/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45 % --res_passive_queues_freq [15;5]
% 0.21/0.45 % --res_forward_subs full
% 0.21/0.45 % --res_backward_subs full
% 0.21/0.45 % --res_forward_subs_resolution true
% 0.21/0.45 % --res_backward_subs_resolution true
% 0.21/0.45 % --res_orphan_elimination false
% 0.21/0.45 % --res_time_limit 1000.
% 0.21/0.45 % --res_out_proof true
% 0.21/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_d7f49b.s
% 0.21/0.45 % --modulo true
% 0.21/0.45
% 0.21/0.45 % ------ Combination Options
% 0.21/0.45
% 0.21/0.45 % --comb_res_mult 1000
% 0.21/0.45 % --comb_inst_mult 300
% 0.21/0.45 % ------
% 0.21/0.45
% 0.21/0.45 % ------ Parsing...% successful
% 0.21/0.45
% 0.21/0.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.45
% 0.21/0.45 % ------ Proving...
% 0.21/0.45 % ------ Problem Properties
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % EPR true
% 0.21/0.45 % Horn false
% 0.21/0.45 % Has equality false
% 0.21/0.45
% 0.21/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % % ------ Current options:
% 0.21/0.45
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 73.56/73.77 % --inst_prop_sim_new false
% 73.56/73.77 % --inst_orphan_elimination true
% 73.56/73.77 % --inst_learning_loop_flag true
% 73.56/73.77 % --inst_learning_start 3000
% 73.56/73.77 % --inst_learning_factor 2
% 73.56/73.77 % --inst_start_prop_sim_after_learn 3
% 73.56/73.77 % --inst_sel_renew solver
% 73.56/73.77 % --inst_lit_activity_flag true
% 73.56/73.77 % --inst_out_proof true
% 73.56/73.77
% 73.56/73.77 % ------ Resolution Options
% 73.56/73.77
% 73.56/73.77 % --resolution_flag true
% 73.56/73.77 % --res_lit_sel kbo_max
% 73.56/73.77 % --res_to_prop_solver none
% 73.56/73.77 % --res_prop_simpl_new false
% 73.56/73.77 % --res_prop_simpl_given false
% 73.56/73.77 % --res_passive_queue_type priority_queues
% 73.56/73.77 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 73.56/73.77 % --res_passive_queues_freq [15;5]
% 73.56/73.77 % --res_forward_subs full
% 73.56/73.77 % --res_backward_subs full
% 73.56/73.77 % --res_forward_subs_resolution true
% 73.56/73.77 % --res_backward_subs_resolution true
% 73.56/73.77 % --res_orphan_elimination false
% 73.56/73.77 % --res_time_limit 1000.
% 73.56/73.77 % --res_out_proof true
% 73.56/73.77 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_d7f49b.s
% 73.56/73.77 % --modulo true
% 73.56/73.77
% 73.56/73.77 % ------ Combination Options
% 73.56/73.77
% 73.56/73.77 % --comb_res_mult 1000
% 73.56/73.77 % --comb_inst_mult 300
% 73.56/73.77 % ------
% 73.56/73.77
% 73.56/73.77
% 73.56/73.77
% 73.56/73.77 % ------ Proving...
% 73.56/73.77 %
% 73.56/73.77
% 73.56/73.77
% 73.56/73.77 % ------ Statistics
% 73.56/73.77
% 73.56/73.77 % ------ General
% 73.56/73.77
% 73.56/73.77 % num_of_input_clauses: 92
% 73.56/73.77 % num_of_input_neg_conjectures: 1
% 73.56/73.77 % num_of_splits: 0
% 73.56/73.77 % num_of_split_atoms: 0
% 73.56/73.77 % num_of_sem_filtered_clauses: 0
% 73.56/73.77 % num_of_subtypes: 0
% 73.56/73.77 % monotx_restored_types: 0
% 73.56/73.77 % sat_num_of_epr_types: 0
% 73.56/73.77 % sat_num_of_non_cyclic_types: 0
% 73.56/73.77 % sat_guarded_non_collapsed_types: 0
% 73.56/73.77 % is_epr: 1
% 73.56/73.77 % is_horn: 0
% 73.56/73.77 % has_eq: 0
% 73.56/73.77 % num_pure_diseq_elim: 0
% 73.56/73.77 % simp_replaced_by: 0
% 73.56/73.77 % res_preprocessed: 2
% 73.56/73.77 % prep_upred: 0
% 73.56/73.77 % prep_unflattend: 0
% 73.56/73.77 % pred_elim_cands: 0
% 73.56/73.77 % pred_elim: 0
% 73.56/73.77 % pred_elim_cl: 0
% 73.56/73.77 % pred_elim_cycles: 0
% 73.56/73.77 % forced_gc_time: 0
% 73.56/73.77 % gc_basic_clause_elim: 0
% 73.56/73.77 % parsing_time: 0.002
% 73.56/73.77 % sem_filter_time: 0.
% 73.56/73.77 % pred_elim_time: 0.
% 73.56/73.77 % out_proof_time: 0.014
% 73.56/73.77 % monotx_time: 0.
% 73.56/73.77 % subtype_inf_time: 0.
% 73.56/73.77 % unif_index_cands_time: 0.049
% 73.56/73.77 % unif_index_add_time: 0.012
% 73.56/73.77 % total_time: 73.332
% 73.56/73.77 % num_of_symbols: 37
% 73.56/73.77 % num_of_terms: 1766
% 73.56/73.77
% 73.56/73.77 % ------ Propositional Solver
% 73.56/73.77
% 73.56/73.77 % prop_solver_calls: 12
% 73.56/73.77 % prop_fast_solver_calls: 9
% 73.56/73.77 % prop_num_of_clauses: 2647
% 73.56/73.77 % prop_preprocess_simplified: 3571
% 73.56/73.77 % prop_fo_subsumed: 0
% 73.56/73.77 % prop_solver_time: 0.001
% 73.56/73.77 % prop_fast_solver_time: 0.
% 73.56/73.77 % prop_unsat_core_time: 0.001
% 73.56/73.77
% 73.56/73.77 % ------ QBF
% 73.56/73.77
% 73.56/73.77 % qbf_q_res: 0
% 73.56/73.77 % qbf_num_tautologies: 0
% 73.56/73.77 % qbf_prep_cycles: 0
% 73.56/73.77
% 73.56/73.77 % ------ BMC1
% 73.56/73.77
% 73.56/73.77 % bmc1_current_bound: -1
% 73.56/73.77 % bmc1_last_solved_bound: -1
% 73.56/73.77 % bmc1_unsat_core_size: -1
% 73.56/73.77 % bmc1_unsat_core_parents_size: -1
% 73.56/73.77 % bmc1_merge_next_fun: 0
% 73.56/73.77 % bmc1_unsat_core_clauses_time: 0.
% 73.56/73.77
% 73.56/73.77 % ------ Instantiation
% 73.56/73.77
% 73.56/73.77 % inst_num_of_clauses: 2139
% 73.56/73.77 % inst_num_in_passive: 16
% 73.56/73.77 % inst_num_in_active: 1639
% 73.56/73.77 % inst_num_in_unprocessed: 466
% 73.56/73.77 % inst_num_of_loops: 2023
% 73.56/73.77 % inst_num_of_learning_restarts: 0
% 73.56/73.77 % inst_num_moves_active_passive: 362
% 73.56/73.77 % inst_lit_activity: 138
% 73.56/73.77 % inst_lit_activity_moves: 0
% 73.56/73.77 % inst_num_tautologies: 18
% 73.56/73.77 % inst_num_prop_implied: 0
% 73.56/73.77 % inst_num_existing_simplified: 0
% 73.56/73.77 % inst_num_eq_res_simplified: 0
% 73.56/73.77 % inst_num_child_elim: 0
% 73.56/73.77 % inst_num_of_dismatching_blockings: 936
% 73.56/73.77 % inst_num_of_non_proper_insts: 6648
% 73.56/73.77 % inst_num_of_duplicates: 4483
% 73.56/73.77 % inst_inst_num_from_inst_to_res: 0
% 73.56/73.77 % inst_dismatching_checking_time: 0.003
% 73.56/73.77
% 73.56/73.77 % ------ Resolution
% 73.56/73.77
% 73.56/73.77 % res_num_of_clauses: 426897
% 73.56/73.77 % res_num_in_passive: 426576
% 73.56/73.77 % res_num_in_active: 1671
% 73.56/73.77 % res_num_of_loops: 7000
% 73.56/73.77 % res_forward_subset_subsumed: 83901
% 73.56/73.77 % res_backward_subset_subsumed: 1448
% 73.56/73.77 % res_forward_subsumed: 5128
% 73.56/73.77 % res_backward_subsumed: 160
% 73.56/73.77 % res_forward_subsumption_resolution: 1354
% 73.56/73.77 % res_backward_subsumption_resolution: 20
% 73.56/73.77 % res_clause_to_clause_subsumption: 1115044
% 73.56/73.77 % res_orphan_elimination: 0
% 73.56/73.77 % res_tautology_del: 84868
% 73.56/73.77 % res_num_eq_res_simplified: 0
% 73.56/73.77 % res_num_sel_changes: 0
% 73.56/73.77 % res_moves_from_active_to_pass: 0
% 73.56/73.77
% 73.56/73.77 % Status Unsatisfiable
% 73.56/73.77 % SZS status Unsatisfiable
% 73.56/73.77 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------