%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GRP128-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n003.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  : 300s
% DateTime : Thu Aug 31 00:16:35 EDT 2023

% Result   : Unsatisfiable 35.47s 35.56s
% Output   : CNFRefutation 35.57s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    e_1: $i ).

tff(decl_23,type,
    e_2: $i ).

tff(decl_24,type,
    next: ( $i * $i ) > $o ).

tff(decl_25,type,
    e_3: $i ).

tff(decl_26,type,
    e_4: $i ).

tff(decl_27,type,
    e_5: $i ).

tff(decl_28,type,
    e_6: $i ).

tff(decl_29,type,
    greater: ( $i * $i ) > $o ).

tff(decl_30,type,
    product: ( $i * $i * $i ) > $o ).

tff(decl_31,type,
    group_element: $i > $o ).

tff(decl_32,type,
    equalish: ( $i * $i ) > $o ).

cnf(product_total_function1,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)
    | product(X1,X2,e_6)
    | ~ group_element(X1)
    | ~ group_element(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).

cnf(element_1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

cnf(element_2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).

cnf(no_redundancy,axiom,
    ( ~ product(X1,e_1,X2)
    | ~ next(X1,X3)
    | ~ greater(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).

cnf(element_3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

cnf(e_6_greater_e_3,axiom,
    greater(e_6,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_3) ).

cnf(e_2_then_e_3,axiom,
    next(e_2,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).

cnf(product_left_cancellation,axiom,
    ( equalish(X1,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).

cnf(e_6_greater_e_2,axiom,
    greater(e_6,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_2) ).

cnf(e_1_then_e_2,axiom,
    next(e_1,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).

cnf(e_6_greater_e_4,axiom,
    greater(e_6,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_4) ).

cnf(e_3_then_e_4,axiom,
    next(e_3,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).

cnf(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

cnf(element_4,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).

cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

cnf(e_5_greater_e_2,axiom,
    greater(e_5,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_2) ).

cnf(e_6_greater_e_5,axiom,
    greater(e_6,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_5) ).

cnf(e_4_then_e_5,axiom,
    next(e_4,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_then_e_5) ).

cnf(e_4_greater_e_2,axiom,
    greater(e_4,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).

cnf(e_1_is_not_e_4,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).

cnf(e_3_greater_e_2,axiom,
    greater(e_3,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).

cnf(qg3,negated_conjecture,
    ( product(X1,X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).

cnf(e_5_greater_e_3,axiom,
    greater(e_5,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3) ).

cnf(e_5_greater_e_4,axiom,
    greater(e_5,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_4) ).

cnf(element_5,axiom,
    group_element(e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).

cnf(e_4_greater_e_3,axiom,
    greater(e_4,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).

cnf(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

cnf(e_5_is_not_e_1,axiom,
    ~ equalish(e_5,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_1) ).

cnf(product_right_cancellation,axiom,
    ( equalish(X2,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).

cnf(element_6,axiom,
    group_element(e_6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_6) ).

cnf(e_6_is_not_e_1,axiom,
    ~ equalish(e_6,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_1) ).

cnf(e_5_is_not_e_4,axiom,
    ~ equalish(e_5,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_4) ).

cnf(e_5_is_not_e_3,axiom,
    ~ equalish(e_5,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_3) ).

cnf(e_6_is_not_e_4,axiom,
    ~ equalish(e_6,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_4) ).

cnf(e_6_is_not_e_3,axiom,
    ~ equalish(e_6,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_3) ).

cnf(e_5_is_not_e_2,axiom,
    ~ equalish(e_5,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_2) ).

cnf(e_6_is_not_e_2,axiom,
    ~ equalish(e_6,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_2) ).

cnf(e_6_is_not_e_5,axiom,
    ~ equalish(e_6,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_5) ).

cnf(e_1_is_not_e_5,axiom,
    ~ equalish(e_1,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).

cnf(e_4_is_not_e_3,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).

cnf(e_4_is_not_e_2,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

cnf(e_2_is_not_e_4,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).

cnf(product_total_function2,axiom,
    ( equalish(X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).

cnf(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

cnf(e_2_is_not_e_5,axiom,
    ~ equalish(e_2,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).

cnf(e_4_is_not_e_6,axiom,
    ~ equalish(e_4,e_6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_6) ).

cnf(e_4_is_not_e_5,axiom,
    ~ equalish(e_4,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).

cnf(e_3_is_not_e_6,axiom,
    ~ equalish(e_3,e_6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_6) ).

cnf(e_5_is_not_e_6,axiom,
    ~ equalish(e_5,e_6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_6) ).

cnf(e_1_is_not_e_6,axiom,
    ~ equalish(e_1,e_6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_6) ).

cnf(e_4_is_not_e_1,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).

cnf(e_2_is_not_e_3,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

cnf(e_3_is_not_e_4,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

cnf(e_3_is_not_e_5,axiom,
    ~ equalish(e_3,e_5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5) ).

cnf(e_2_is_not_e_6,axiom,
    ~ equalish(e_2,e_6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_6) ).

cnf(c_0_56,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)
    | product(X1,X2,e_6)
    | ~ group_element(X1)
    | ~ group_element(X2) ),
    product_total_function1 ).

cnf(c_0_57,axiom,
    group_element(e_1),
    element_1 ).

cnf(c_0_58,plain,
    ( product(X1,e_1,e_1)
    | product(X1,e_1,e_2)
    | product(X1,e_1,e_3)
    | product(X1,e_1,e_4)
    | product(X1,e_1,e_5)
    | product(X1,e_1,e_6)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_59,axiom,
    group_element(e_2),
    element_2 ).

cnf(c_0_60,axiom,
    ( ~ product(X1,e_1,X2)
    | ~ next(X1,X3)
    | ~ greater(X2,X3) ),
    no_redundancy ).

cnf(c_0_61,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_6) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,axiom,
    group_element(e_3),
    element_3 ).

cnf(c_0_63,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | ~ greater(e_6,X1)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,axiom,
    greater(e_6,e_3),
    e_6_greater_e_3 ).

cnf(c_0_65,axiom,
    next(e_2,e_3),
    e_2_then_e_3 ).

cnf(c_0_66,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_1,e_1,e_6) ),
    inference(spm,[status(thm)],[c_0_58,c_0_57]) ).

cnf(c_0_67,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_6) ),
    inference(spm,[status(thm)],[c_0_58,c_0_62]) ).

cnf(c_0_68,axiom,
    ( equalish(X1,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X4,X2,X3) ),
    product_left_cancellation ).

cnf(c_0_69,plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).

cnf(c_0_70,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | ~ greater(e_6,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_66]) ).

cnf(c_0_71,axiom,
    greater(e_6,e_2),
    e_6_greater_e_2 ).

cnf(c_0_72,axiom,
    next(e_1,e_2),
    e_1_then_e_2 ).

cnf(c_0_73,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | ~ greater(e_6,X1)
    | ~ next(e_3,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_67]) ).

cnf(c_0_74,axiom,
    greater(e_6,e_4),
    e_6_greater_e_4 ).

cnf(c_0_75,axiom,
    next(e_3,e_4),
    e_3_then_e_4 ).

cnf(c_0_76,plain,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | ~ product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_77,plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).

cnf(c_0_78,axiom,
    ~ equalish(e_1,e_2),
    e_1_is_not_e_2 ).

cnf(c_0_79,plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).

cnf(c_0_80,axiom,
    group_element(e_4),
    element_4 ).

cnf(c_0_81,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_82,plain,
    ( equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | ~ product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_79]) ).

cnf(c_0_83,axiom,
    ~ equalish(e_1,e_3),
    e_1_is_not_e_3 ).

cnf(c_0_84,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_4,e_1,e_6) ),
    inference(spm,[status(thm)],[c_0_58,c_0_80]) ).

cnf(c_0_85,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | ~ greater(e_5,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_81]) ).

cnf(c_0_86,axiom,
    greater(e_5,e_2),
    e_5_greater_e_2 ).

cnf(c_0_87,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_77]),c_0_83]) ).

cnf(c_0_88,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | ~ greater(e_6,X1)
    | ~ next(e_4,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_84]) ).

cnf(c_0_89,axiom,
    greater(e_6,e_5),
    e_6_greater_e_5 ).

cnf(c_0_90,axiom,
    next(e_4,e_5),
    e_4_then_e_5 ).

cnf(c_0_91,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_72])]) ).

cnf(c_0_92,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | ~ greater(e_5,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_87]) ).

cnf(c_0_93,plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).

cnf(c_0_94,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | ~ greater(e_4,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_91]) ).

cnf(c_0_95,axiom,
    greater(e_4,e_2),
    e_4_greater_e_2 ).

cnf(c_0_96,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_86]),c_0_72])]) ).

cnf(c_0_97,plain,
    ( equalish(X1,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | ~ product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_93]) ).

cnf(c_0_98,axiom,
    ~ equalish(e_1,e_4),
    e_1_is_not_e_4 ).

cnf(c_0_99,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_72])]) ).

cnf(c_0_100,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | ~ greater(e_4,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_96]) ).

cnf(c_0_101,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_77]),c_0_98]) ).

cnf(c_0_102,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_1,e_1,e_2)
    | ~ greater(e_3,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_99]) ).

cnf(c_0_103,axiom,
    greater(e_3,e_2),
    e_3_greater_e_2 ).

cnf(c_0_104,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_95]),c_0_72])]) ).

cnf(c_0_105,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | ~ greater(e_5,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_101]) ).

cnf(c_0_106,negated_conjecture,
    ( product(X1,X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X3,X2,X4) ),
    qg3 ).

cnf(c_0_107,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_1,e_1,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_72])]) ).

cnf(c_0_108,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_1,e_1,e_2)
    | ~ greater(e_3,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_104]) ).

cnf(c_0_109,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_86]),c_0_72])]) ).

cnf(c_0_110,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(X1,e_1,e_2)
    | ~ product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_111,plain,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_1,e_1,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_103]),c_0_72])]) ).

cnf(c_0_112,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | ~ greater(e_4,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_109]) ).

cnf(c_0_113,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_110,c_0_69]) ).

cnf(c_0_114,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(X1,e_1,e_2)
    | ~ product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_111]) ).

cnf(c_0_115,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_95]),c_0_72])]) ).

cnf(c_0_116,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | ~ greater(e_5,X1)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_113]) ).

cnf(c_0_117,axiom,
    greater(e_5,e_3),
    e_5_greater_e_3 ).

cnf(c_0_118,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_114,c_0_79]) ).

cnf(c_0_119,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_1,e_1,e_2)
    | ~ greater(e_3,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_115]) ).

cnf(c_0_120,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_65])]) ).

cnf(c_0_121,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | ~ greater(e_5,X1)
    | ~ next(e_3,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_118]) ).

cnf(c_0_122,axiom,
    greater(e_5,e_4),
    e_5_greater_e_4 ).

cnf(c_0_123,axiom,
    group_element(e_5),
    element_5 ).

cnf(c_0_124,plain,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_1,e_1,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_103]),c_0_72])]) ).

cnf(c_0_125,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | ~ greater(e_4,X1)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_120]) ).

cnf(c_0_126,axiom,
    greater(e_4,e_3),
    e_4_greater_e_3 ).

cnf(c_0_127,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_75])]) ).

cnf(c_0_128,plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_5,e_1,e_6) ),
    inference(spm,[status(thm)],[c_0_58,c_0_123]) ).

cnf(c_0_129,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(X1,e_1,e_2)
    | ~ product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_124]) ).

cnf(c_0_130,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_65])]) ).

cnf(c_0_131,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(X1,e_3,e_4)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_127]) ).

cnf(c_0_132,negated_conjecture,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(X1,e_5,e_6)
    | ~ product(X1,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_128]) ).

cnf(c_0_133,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_129,c_0_93]) ).

cnf(c_0_134,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_130]) ).

cnf(c_0_135,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_131,c_0_130]) ).

cnf(c_0_136,axiom,
    ~ equalish(e_3,e_2),
    e_3_is_not_e_2 ).

cnf(c_0_137,plain,
    ( equalish(X1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | ~ product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_77]) ).

cnf(c_0_138,negated_conjecture,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_139,axiom,
    ~ equalish(e_5,e_1),
    e_5_is_not_e_1 ).

cnf(c_0_140,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(X1,e_2,e_3)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_130]) ).

cnf(c_0_141,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_142,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | ~ product(X1,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_133]) ).

cnf(c_0_143,negated_conjecture,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).

cnf(c_0_144,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_145,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_98]) ).

cnf(c_0_146,axiom,
    ( equalish(X2,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X4,X3) ),
    product_right_cancellation ).

cnf(c_0_147,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_144]) ).

cnf(c_0_148,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6)
    | ~ greater(e_4,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_145]) ).

cnf(c_0_149,axiom,
    group_element(e_6),
    element_6 ).

cnf(c_0_150,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_144]) ).

cnf(c_0_151,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_147,c_0_144]) ).

cnf(c_0_152,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_95]),c_0_72])]) ).

cnf(c_0_153,plain,
    ( product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5)
    | product(e_6,e_1,e_6) ),
    inference(spm,[status(thm)],[c_0_58,c_0_149]) ).

cnf(c_0_154,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_136]) ).

cnf(c_0_155,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6)
    | ~ greater(e_3,X1)
    | ~ next(e_1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_152]) ).

cnf(c_0_156,negated_conjecture,
    ( product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_1,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_153]) ).

cnf(c_0_157,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_154]) ).

cnf(c_0_158,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_103]),c_0_72])]) ).

cnf(c_0_159,plain,
    ( equalish(X1,e_1)
    | product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_153]) ).

cnf(c_0_160,negated_conjecture,
    ( product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_156,c_0_153]) ).

cnf(c_0_161,axiom,
    ~ equalish(e_6,e_1),
    e_6_is_not_e_1 ).

cnf(c_0_162,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_78]) ).

cnf(c_0_163,axiom,
    ~ equalish(e_5,e_4),
    e_5_is_not_e_4 ).

cnf(c_0_164,negated_conjecture,
    ( product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).

cnf(c_0_165,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_127]) ).

cnf(c_0_166,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_162]),c_0_163]) ).

cnf(c_0_167,axiom,
    ~ equalish(e_5,e_3),
    e_5_is_not_e_3 ).

cnf(c_0_168,negated_conjecture,
    ( product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_164]),c_0_161]) ).

cnf(c_0_169,axiom,
    ~ equalish(e_6,e_4),
    e_6_is_not_e_4 ).

cnf(c_0_170,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).

cnf(c_0_171,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_168]),c_0_169]) ).

cnf(c_0_172,axiom,
    ~ equalish(e_6,e_3),
    e_6_is_not_e_3 ).

cnf(c_0_173,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_5,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_5,e_1,e_2)
    | product(e_4,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_131,c_0_170]) ).

cnf(c_0_174,axiom,
    ~ equalish(e_5,e_2),
    e_5_is_not_e_2 ).

cnf(c_0_175,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_171]),c_0_172]) ).

cnf(c_0_176,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_5,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_173]),c_0_174]) ).

cnf(c_0_177,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_6,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_6,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_131,c_0_175]) ).

cnf(c_0_178,axiom,
    ~ equalish(e_6,e_2),
    e_6_is_not_e_2 ).

cnf(c_0_179,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_176]) ).

cnf(c_0_180,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_6,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_177]),c_0_178]) ).

cnf(c_0_181,axiom,
    ~ equalish(e_6,e_5),
    e_6_is_not_e_5 ).

cnf(c_0_182,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]) ).

cnf(c_0_183,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_5,e_6)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_182]),c_0_98]) ).

cnf(c_0_184,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_4,e_5,e_6)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_183]),c_0_83]) ).

cnf(c_0_185,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_4,e_5,e_6)
    | product(e_1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_131,c_0_184]) ).

cnf(c_0_186,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_185]),c_0_78]) ).

cnf(c_0_187,axiom,
    ~ equalish(e_1,e_5),
    e_1_is_not_e_5 ).

cnf(c_0_188,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_186]),c_0_187]) ).

cnf(c_0_189,axiom,
    ~ equalish(e_4,e_3),
    e_4_is_not_e_3 ).

cnf(c_0_190,plain,
    ( product(X1,e_5,e_1)
    | product(X1,e_5,e_2)
    | product(X1,e_5,e_3)
    | product(X1,e_5,e_4)
    | product(X1,e_5,e_5)
    | product(X1,e_5,e_6)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_123]) ).

cnf(c_0_191,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_188]),c_0_189]) ).

cnf(c_0_192,plain,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_190,c_0_59]) ).

cnf(c_0_193,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_2,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_4,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_131,c_0_191]) ).

cnf(c_0_194,axiom,
    ~ equalish(e_4,e_2),
    e_4_is_not_e_2 ).

cnf(c_0_195,plain,
    ( equalish(X1,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | ~ product(X1,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_192]) ).

cnf(c_0_196,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_193]),c_0_194]) ).

cnf(c_0_197,negated_conjecture,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_194]) ).

cnf(c_0_198,negated_conjecture,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_197]) ).

cnf(c_0_199,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_197]) ).

cnf(c_0_200,negated_conjecture,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_198,c_0_197]) ).

cnf(c_0_201,negated_conjecture,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_189]) ).

cnf(c_0_202,negated_conjecture,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_201]) ).

cnf(c_0_203,negated_conjecture,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_202,c_0_201]) ).

cnf(c_0_204,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_201]) ).

cnf(c_0_205,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_203]),c_0_136]) ).

cnf(c_0_206,axiom,
    ~ equalish(e_3,e_1),
    e_3_is_not_e_1 ).

cnf(c_0_207,negated_conjecture,
    ( product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]) ).

cnf(c_0_208,plain,
    ( product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_1,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_190,c_0_57]) ).

cnf(c_0_209,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_207]),c_0_136]) ).

cnf(c_0_210,negated_conjecture,
    ( product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(X1,e_1,e_6)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_208]) ).

cnf(c_0_211,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_209]) ).

cnf(c_0_212,negated_conjecture,
    ( product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_210,c_0_209]) ).

cnf(c_0_213,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_2,e_1,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_78]) ).

cnf(c_0_214,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_2,e_1,e_6)
    | product(X1,e_1,e_5)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_213]) ).

cnf(c_0_215,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_214,c_0_209]) ).

cnf(c_0_216,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(X1,e_4,e_5)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_133]) ).

cnf(c_0_217,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(X1,e_1,e_4)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_215]) ).

cnf(c_0_218,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_3,e_4,e_5)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_216,c_0_127]) ).

cnf(c_0_219,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_217,c_0_209]) ).

cnf(c_0_220,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_218]),c_0_189]) ).

cnf(c_0_221,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_1,e_5,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(X1,e_1,e_3)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_219]) ).

cnf(c_0_222,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_131,c_0_220]) ).

cnf(c_0_223,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(X1,e_2,e_1)
    | ~ product(X1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_209]) ).

cnf(c_0_224,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_1,e_5,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_221,c_0_209]) ).

cnf(c_0_225,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_4,e_5)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_222]) ).

cnf(c_0_226,axiom,
    ~ equalish(e_2,e_4),
    e_2_is_not_e_4 ).

cnf(c_0_227,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_228,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_154]),c_0_226]) ).

cnf(c_0_229,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(X1,e_1,e_1)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_227]) ).

cnf(c_0_230,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_228]) ).

cnf(c_0_231,axiom,
    ( equalish(X3,X4)
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    product_total_function2 ).

cnf(c_0_232,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | ~ product(e_1,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_227]) ).

cnf(c_0_233,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_229,c_0_227]) ).

cnf(c_0_234,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_228]) ).

cnf(c_0_235,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_230,c_0_228]) ).

cnf(c_0_236,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | ~ product(e_2,e_1,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_154]) ).

cnf(c_0_237,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_78]) ).

cnf(c_0_238,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_189]) ).

cnf(c_0_239,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_178]) ).

cnf(c_0_240,plain,
    ( product(X1,e_4,e_1)
    | product(X1,e_4,e_2)
    | product(X1,e_4,e_3)
    | product(X1,e_4,e_4)
    | product(X1,e_4,e_5)
    | product(X1,e_4,e_6)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_80]) ).

cnf(c_0_241,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_238]) ).

cnf(c_0_242,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_239]),c_0_174]) ).

cnf(c_0_243,plain,
    ( product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_5,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_240,c_0_123]) ).

cnf(c_0_244,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_241,c_0_238]) ).

cnf(c_0_245,plain,
    ( product(e_5,e_5,e_1)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_5)
    | product(e_5,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_190,c_0_123]) ).

cnf(c_0_246,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_242]),c_0_194]) ).

cnf(c_0_247,negated_conjecture,
    ( product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(X1,e_5,e_6)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_243]) ).

cnf(c_0_248,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_244]),c_0_136]) ).

cnf(c_0_249,negated_conjecture,
    ( product(e_5,e_5,e_1)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_5)
    | product(X1,e_5,e_6)
    | ~ product(X1,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_245]) ).

cnf(c_0_250,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_246]),c_0_136]) ).

cnf(c_0_251,negated_conjecture,
    ( product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_3,e_5,e_6)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_252,negated_conjecture,
    ( product(e_5,e_5,e_1)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_5)
    | product(e_2,e_5,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_253,negated_conjecture,
    ( product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_3,e_5,e_6)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(X1,e_5,e_1)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_251]) ).

cnf(c_0_254,negated_conjecture,
    ( product(e_5,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_5)
    | product(e_2,e_5,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(X1,e_5,e_1)
    | ~ product(X1,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_252]) ).

cnf(c_0_255,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_248]) ).

cnf(c_0_256,negated_conjecture,
    ( product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_3,e_5,e_6)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_253,c_0_248]) ).

cnf(c_0_257,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | ~ product(X1,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_250]) ).

cnf(c_0_258,negated_conjecture,
    ( product(e_5,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_4)
    | product(e_5,e_5,e_5)
    | product(e_2,e_5,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_254,c_0_250]) ).

cnf(c_0_259,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_167]) ).

cnf(c_0_260,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_5,e_5,e_4)
    | product(e_2,e_5,e_6)
    | product(e_2,e_5,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_174]) ).

cnf(c_0_261,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_259]) ).

cnf(c_0_262,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_2,e_5,e_6)
    | product(e_2,e_5,e_1)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_260]) ).

cnf(c_0_263,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(X1,e_3,e_5)
    | ~ product(X1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_248]) ).

cnf(c_0_264,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_261,c_0_248]) ).

cnf(c_0_265,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_5,e_5,e_3)
    | product(e_2,e_5,e_6)
    | product(e_2,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_262,c_0_250]) ).

cnf(c_0_266,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_5,e_4,e_2)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_263,c_0_264]) ).

cnf(c_0_267,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_2,e_5,e_6)
    | product(e_2,e_5,e_1)
    | product(X1,e_5,e_3)
    | ~ product(X1,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_265]) ).

cnf(c_0_268,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(X1,e_5,e_2)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_266]) ).

cnf(c_0_269,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_5,e_2)
    | product(e_2,e_5,e_6)
    | product(e_2,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_267,c_0_250]) ).

cnf(c_0_270,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_268,c_0_248]) ).

cnf(c_0_271,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_6)
    | product(e_2,e_5,e_1)
    | product(X1,e_5,e_2)
    | ~ product(X1,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_269]) ).

cnf(c_0_272,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(X1,e_5,e_5)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_270]) ).

cnf(c_0_273,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | ~ product(e_2,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_250]) ).

cnf(c_0_274,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_6)
    | product(e_2,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_271,c_0_250]) ).

cnf(c_0_275,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | ~ product(e_5,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_270]) ).

cnf(c_0_276,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_5,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_272,c_0_270]) ).

cnf(c_0_277,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_181]) ).

cnf(c_0_278,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_167]) ).

cnf(c_0_279,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(X1,e_4,e_6)
    | ~ product(X1,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_196]) ).

cnf(c_0_280,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_277]),c_0_187]) ).

cnf(c_0_281,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | ~ product(X1,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_278]) ).

cnf(c_0_282,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_283,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_196]),c_0_189]) ).

cnf(c_0_284,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_282]) ).

cnf(c_0_285,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_283]) ).

cnf(c_0_286,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_282]) ).

cnf(c_0_287,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_284,c_0_282]) ).

cnf(c_0_288,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_283]) ).

cnf(c_0_289,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_285,c_0_283]) ).

cnf(c_0_290,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_189]) ).

cnf(c_0_291,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_189]) ).

cnf(c_0_292,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_290]) ).

cnf(c_0_293,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_291]) ).

cnf(c_0_294,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_292,c_0_290]) ).

cnf(c_0_295,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_293,c_0_291]) ).

cnf(c_0_296,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_290]) ).

cnf(c_0_297,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_294]),c_0_136]) ).

cnf(c_0_298,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_295]),c_0_136]) ).

cnf(c_0_299,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_206]) ).

cnf(c_0_300,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(X1,e_3,e_1)
    | ~ product(X1,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_298]) ).

cnf(c_0_301,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_299]),c_0_136]) ).

cnf(c_0_302,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_303,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(X1,e_3,e_4)
    | ~ product(X1,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_302]) ).

cnf(c_0_304,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(X1,e_2,e_3)
    | ~ product(X1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_301]) ).

cnf(c_0_305,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_303,c_0_301]) ).

cnf(c_0_306,plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_3,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_190,c_0_62]) ).

cnf(c_0_307,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_238]) ).

cnf(c_0_308,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_3,e_3)
    | product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_309,negated_conjecture,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(X1,e_3,e_6)
    | ~ product(X1,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_306]) ).

cnf(c_0_310,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_206]) ).

cnf(c_0_311,negated_conjecture,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_309,c_0_301]) ).

cnf(c_0_312,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_310]),c_0_136]) ).

cnf(c_0_313,negated_conjecture,
    ( product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(X1,e_3,e_1)
    | ~ product(X1,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_311]) ).

cnf(c_0_314,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_312]) ).

cnf(c_0_315,negated_conjecture,
    ( product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_301]) ).

cnf(c_0_316,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(e_3,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_127]) ).

cnf(c_0_317,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_163]) ).

cnf(c_0_318,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_308]) ).

cnf(c_0_319,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_139]) ).

cnf(c_0_320,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_83]) ).

cnf(c_0_321,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | ~ product(X1,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_301]) ).

cnf(c_0_322,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_320]),c_0_136]) ).

cnf(c_0_323,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_136]) ).

cnf(c_0_324,plain,
    ( product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(e_6,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_240,c_0_149]) ).

cnf(c_0_325,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(spm,[status(thm)],[c_0_304,c_0_323]) ).

cnf(c_0_326,negated_conjecture,
    ( product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_324]) ).

cnf(c_0_327,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_325]) ).

cnf(c_0_328,plain,
    ( equalish(X1,e_4)
    | product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_324]) ).

cnf(c_0_329,negated_conjecture,
    ( product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_326,c_0_324]) ).

cnf(c_0_330,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_325]) ).

cnf(c_0_331,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_327,c_0_325]) ).

cnf(c_0_332,negated_conjecture,
    ( product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_169]) ).

cnf(c_0_333,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | ~ product(e_2,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_154]) ).

cnf(c_0_334,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_136]) ).

cnf(c_0_335,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(X1,e_6,e_1)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_332]) ).

cnf(c_0_336,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_139]) ).

cnf(c_0_337,plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_240,c_0_57]) ).

cnf(c_0_338,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(spm,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_339,plain,
    ( equalish(X1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_337]) ).

cnf(c_0_340,axiom,
    ~ equalish(e_2,e_1),
    e_2_is_not_e_1 ).

cnf(c_0_341,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_338]),c_0_172]) ).

cnf(c_0_342,negated_conjecture,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_336]),c_0_340]) ).

cnf(c_0_343,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(X1,e_6,e_4)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_341]) ).

cnf(c_0_344,plain,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_4,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_240,c_0_80]) ).

cnf(c_0_345,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(X1,e_1,e_1)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_342]) ).

cnf(c_0_346,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_343,c_0_336]) ).

cnf(c_0_347,plain,
    ( equalish(X1,e_5)
    | product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_243]) ).

cnf(c_0_348,axiom,
    ~ equalish(e_2,e_5),
    e_2_is_not_e_5 ).

cnf(c_0_349,plain,
    ( equalish(X1,e_4)
    | product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_344]) ).

cnf(c_0_350,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(e_1,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_342]) ).

cnf(c_0_351,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_345,c_0_342]) ).

cnf(c_0_352,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_346]) ).

cnf(c_0_353,negated_conjecture,
    ( product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_336]),c_0_348]) ).

cnf(c_0_354,negated_conjecture,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_336]),c_0_226]) ).

cnf(c_0_355,negated_conjecture,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_98]) ).

cnf(c_0_356,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_332]) ).

cnf(c_0_357,axiom,
    ~ equalish(e_4,e_6),
    e_4_is_not_e_6 ).

cnf(c_0_358,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(X1,e_2,e_6)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_336]) ).

cnf(c_0_359,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_352,c_0_336]) ).

cnf(c_0_360,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_353]) ).

cnf(c_0_361,axiom,
    ~ equalish(e_4,e_5),
    e_4_is_not_e_5 ).

cnf(c_0_362,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(X1,e_4,e_1)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_354]) ).

cnf(c_0_363,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_355]),c_0_83]) ).

cnf(c_0_364,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_354]),c_0_357]) ).

cnf(c_0_365,plain,
    ( product(X1,e_6,e_1)
    | product(X1,e_6,e_2)
    | product(X1,e_6,e_3)
    | product(X1,e_6,e_4)
    | product(X1,e_6,e_5)
    | product(X1,e_6,e_6)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_149]) ).

cnf(c_0_366,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_6,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_367,negated_conjecture,
    ( product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_354]),c_0_361]) ).

cnf(c_0_368,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_354]) ).

cnf(c_0_369,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_4,e_1)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_370,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_364]),c_0_172]) ).

cnf(c_0_371,plain,
    ( product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_365,c_0_149]) ).

cnf(c_0_372,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_366]) ).

cnf(c_0_373,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_367]),c_0_167]) ).

cnf(c_0_374,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_98]) ).

cnf(c_0_375,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_6,e_4,e_1)
    | product(e_3,e_3,e_3)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_362,c_0_370]) ).

cnf(c_0_376,plain,
    ( equalish(X1,e_6)
    | product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_371]) ).

cnf(c_0_377,plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(e_3,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_365,c_0_62]) ).

cnf(c_0_378,axiom,
    ~ equalish(e_3,e_6),
    e_3_is_not_e_6 ).

cnf(c_0_379,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_366]) ).

cnf(c_0_380,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_372,c_0_366]) ).

cnf(c_0_381,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_5,e_4,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_362,c_0_373]) ).

cnf(c_0_382,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | ~ product(X1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_374]) ).

cnf(c_0_383,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_375]),c_0_169]) ).

cnf(c_0_384,plain,
    ( product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_378]) ).

cnf(c_0_385,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_178]) ).

cnf(c_0_386,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_381]),c_0_163]) ).

cnf(c_0_387,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_6,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_161]) ).

cnf(c_0_388,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(X1,e_6,e_1)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_384]) ).

cnf(c_0_389,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_385]),c_0_206]) ).

cnf(c_0_390,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_1,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_263,c_0_374]) ).

cnf(c_0_391,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_5,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_263,c_0_386]) ).

cnf(c_0_392,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_387]) ).

cnf(c_0_393,axiom,
    ~ equalish(e_5,e_6),
    e_5_is_not_e_6 ).

cnf(c_0_394,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_388,c_0_377]) ).

cnf(c_0_395,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_338]) ).

cnf(c_0_396,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_389]),c_0_136]) ).

cnf(c_0_397,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_1,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_358,c_0_390]) ).

cnf(c_0_398,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_391]) ).

cnf(c_0_399,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_5,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_391]),c_0_393]) ).

cnf(c_0_400,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(X1,e_6,e_5)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_394]) ).

cnf(c_0_401,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_378]) ).

cnf(c_0_402,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_6,e_2,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_358,c_0_387]) ).

cnf(c_0_403,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_397]) ).

cnf(c_0_404,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_187]) ).

cnf(c_0_405,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_400,c_0_377]) ).

cnf(c_0_406,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_4)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_401]) ).

cnf(c_0_407,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_6,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_263,c_0_383]) ).

cnf(c_0_408,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_402]) ).

cnf(c_0_409,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_139]) ).

cnf(c_0_410,axiom,
    ~ equalish(e_1,e_6),
    e_1_is_not_e_6 ).

cnf(c_0_411,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(X1,e_6,e_4)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_405]) ).

cnf(c_0_412,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_406,c_0_336]) ).

cnf(c_0_413,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_407]) ).

cnf(c_0_414,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_410]) ).

cnf(c_0_415,negated_conjecture,
    ( product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(X1,e_5,e_1)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_353]) ).

cnf(c_0_416,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_411,c_0_377]) ).

cnf(c_0_417,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_412]) ).

cnf(c_0_418,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_404]) ).

cnf(c_0_419,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_6,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_410]) ).

cnf(c_0_420,negated_conjecture,
    ( product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_415,c_0_248]) ).

cnf(c_0_421,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_416]) ).

cnf(c_0_422,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_417,c_0_336]) ).

cnf(c_0_423,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_181]) ).

cnf(c_0_424,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_420]),c_0_167]) ).

cnf(c_0_425,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_421,c_0_377]) ).

cnf(c_0_426,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_6,e_2,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_358,c_0_422]) ).

cnf(c_0_427,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_363]) ).

cnf(c_0_428,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_423]),c_0_189]) ).

cnf(c_0_429,axiom,
    ~ equalish(e_4,e_1),
    e_4_is_not_e_1 ).

cnf(c_0_430,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_424]) ).

cnf(c_0_431,negated_conjecture,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(X1,e_6,e_2)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_425]) ).

cnf(c_0_432,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_426]) ).

cnf(c_0_433,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_429]) ).

cnf(c_0_434,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_428]),c_0_361]) ).

cnf(c_0_435,negated_conjecture,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_431,c_0_377]) ).

cnf(c_0_436,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_426]) ).

cnf(c_0_437,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_432,c_0_426]) ).

cnf(c_0_438,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_1,e_3,e_5)
    | product(e_1,e_4,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_263,c_0_433]) ).

cnf(c_0_439,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_5,e_4,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_263,c_0_434]) ).

cnf(c_0_440,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_435]) ).

cnf(c_0_441,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_178]) ).

cnf(c_0_442,axiom,
    ~ equalish(e_2,e_3),
    e_2_is_not_e_3 ).

cnf(c_0_443,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_1,e_3,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_358,c_0_438]) ).

cnf(c_0_444,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(X1,e_5,e_2)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_439]) ).

cnf(c_0_445,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_5,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_358,c_0_439]) ).

cnf(c_0_446,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_248]) ).

cnf(c_0_447,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_442]) ).

cnf(c_0_448,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_443]) ).

cnf(c_0_449,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_444,c_0_248]) ).

cnf(c_0_450,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_5,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(X1,e_5,e_5)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_445]) ).

cnf(c_0_451,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_447]),c_0_169]) ).

cnf(c_0_452,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_1,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_139]) ).

cnf(c_0_453,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_5,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | ~ product(e_5,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_445]) ).

cnf(c_0_454,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_5,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_5,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_450,c_0_445]) ).

cnf(c_0_455,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_451]),c_0_161]) ).

cnf(c_0_456,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_452]) ).

cnf(c_0_457,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_5,e_2,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_454]),c_0_167]) ).

cnf(c_0_458,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_455]) ).

cnf(c_0_459,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_139]) ).

cnf(c_0_460,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(X1,e_2,e_1)
    | ~ product(X1,e_6,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_441]) ).

cnf(c_0_461,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_458,c_0_455]) ).

cnf(c_0_462,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(X1,e_4,e_3)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_459]) ).

cnf(c_0_463,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_460,c_0_461]) ).

cnf(c_0_464,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | ~ product(X1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_459]) ).

cnf(c_0_465,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_462,c_0_424]) ).

cnf(c_0_466,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_3,e_3)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_463]) ).

cnf(c_0_467,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_5,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_465]),c_0_163]) ).

cnf(c_0_468,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_462,c_0_363]) ).

cnf(c_0_469,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_466,c_0_463]) ).

cnf(c_0_470,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_467]) ).

cnf(c_0_471,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_1,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_468]),c_0_98]) ).

cnf(c_0_472,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_469]),c_0_136]) ).

cnf(c_0_473,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_4,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_471]),c_0_187]) ).

cnf(c_0_474,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_472]),c_0_206]) ).

cnf(c_0_475,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(X1,e_4,e_2)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_473]) ).

cnf(c_0_476,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_447]) ).

cnf(c_0_477,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_474]),c_0_136]) ).

cnf(c_0_478,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_475,c_0_424]) ).

cnf(c_0_479,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_477]),c_0_357]) ).

cnf(c_0_480,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_473]) ).

cnf(c_0_481,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_5,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_263,c_0_478]) ).

cnf(c_0_482,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_475,c_0_363]) ).

cnf(c_0_483,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_472]) ).

cnf(c_0_484,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_479]),c_0_161]) ).

cnf(c_0_485,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_5,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_163]) ).

cnf(c_0_486,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_1,e_3,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_263,c_0_482]) ).

cnf(c_0_487,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_6,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_172]) ).

cnf(c_0_488,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_485]) ).

cnf(c_0_489,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_1,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_486]),c_0_98]) ).

cnf(c_0_490,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_460,c_0_487]) ).

cnf(c_0_491,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_187]) ).

cnf(c_0_492,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_490]),c_0_83]) ).

cnf(c_0_493,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_2)
    | ~ product(e_3,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_491]) ).

cnf(c_0_494,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_492]),c_0_136]) ).

cnf(c_0_495,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_461]) ).

cnf(c_0_496,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_5,e_2)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_494]),c_0_348]) ).

cnf(c_0_497,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_393]) ).

cnf(c_0_498,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_497]) ).

cnf(c_0_499,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_498,c_0_497]) ).

cnf(c_0_500,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_499]),c_0_136]) ).

cnf(c_0_501,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_500]),c_0_206]) ).

cnf(c_0_502,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_501]),c_0_136]) ).

cnf(c_0_503,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_502]) ).

cnf(c_0_504,negated_conjecture,
    ( product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_5,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_415,c_0_502]) ).

cnf(c_0_505,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_3,e_5,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_167]) ).

cnf(c_0_506,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_505]) ).

cnf(c_0_507,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_506,c_0_502]) ).

cnf(c_0_508,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(X1,e_5,e_3)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_507]) ).

cnf(c_0_509,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_508,c_0_502]) ).

cnf(c_0_510,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(X1,e_5,e_2)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_509]) ).

cnf(c_0_511,plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(e_4,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_365,c_0_80]) ).

cnf(c_0_512,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_494]) ).

cnf(c_0_513,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_510,c_0_502]) ).

cnf(c_0_514,plain,
    ( product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_511]),c_0_357]) ).

cnf(c_0_515,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | ~ product(X1,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_280]) ).

cnf(c_0_516,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_174]) ).

cnf(c_0_517,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(X1,e_6,e_1)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_514]) ).

cnf(c_0_518,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_500]) ).

cnf(c_0_519,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_136]) ).

cnf(c_0_520,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_517,c_0_511]) ).

cnf(c_0_521,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(X1,e_2,e_4)
    | ~ product(X1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_280]) ).

cnf(c_0_522,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_519]),c_0_167]) ).

cnf(c_0_523,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(X1,e_6,e_5)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_520]) ).

cnf(c_0_524,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_494]) ).

cnf(c_0_525,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_2,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_526,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_523,c_0_511]) ).

cnf(c_0_527,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | ~ product(e_2,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_280]) ).

cnf(c_0_528,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_525]),c_0_429]) ).

cnf(c_0_529,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(X1,e_6,e_4)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_526]) ).

cnf(c_0_530,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_502]),c_0_357]) ).

cnf(c_0_531,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_516]),c_0_139]) ).

cnf(c_0_532,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(X1,e_3,e_1)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_435]) ).

cnf(c_0_533,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_528]),c_0_181]) ).

cnf(c_0_534,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_529,c_0_511]) ).

cnf(c_0_535,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_530]),c_0_161]) ).

cnf(c_0_536,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_531]),c_0_83]) ).

cnf(c_0_537,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_6) ),
    inference(spm,[status(thm)],[c_0_532,c_0_533]) ).

cnf(c_0_538,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_534]) ).

cnf(c_0_539,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_6,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_535]),c_0_172]) ).

cnf(c_0_540,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_536]),c_0_136]) ).

cnf(c_0_541,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_537]),c_0_169]) ).

cnf(c_0_542,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_538,c_0_511]) ).

cnf(c_0_543,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(e_3,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_539]) ).

cnf(c_0_544,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_540]),c_0_167]) ).

cnf(c_0_545,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_6)
    | product(X1,e_3,e_4)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_541]) ).

cnf(c_0_546,negated_conjecture,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(X1,e_6,e_2)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_542]) ).

cnf(c_0_547,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_393]) ).

cnf(c_0_548,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_533]) ).

cnf(c_0_549,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_6) ),
    inference(spm,[status(thm)],[c_0_545,c_0_533]) ).

cnf(c_0_550,plain,
    ( equalish(X1,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | ~ product(X1,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_306]) ).

cnf(c_0_551,negated_conjecture,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_546,c_0_511]) ).

cnf(c_0_552,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_547]),c_0_83]) ).

cnf(c_0_553,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(X1,e_2,e_3)
    | ~ product(X1,e_6,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_533]) ).

cnf(c_0_554,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3)
    | product(e_3,e_6,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_549]),c_0_136]) ).

cnf(c_0_555,negated_conjecture,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_196]),c_0_189]) ).

cnf(c_0_556,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(X1,e_4,e_1)
    | ~ product(X1,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_551]) ).

cnf(c_0_557,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_552]),c_0_136]) ).

cnf(c_0_558,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_553,c_0_554]) ).

cnf(c_0_559,negated_conjecture,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_555]) ).

cnf(c_0_560,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_556,c_0_557]) ).

cnf(c_0_561,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_558]),c_0_206]) ).

cnf(c_0_562,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_555]) ).

cnf(c_0_563,negated_conjecture,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_559,c_0_555]) ).

cnf(c_0_564,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(X1,e_4,e_5)
    | ~ product(X1,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_560]) ).

cnf(c_0_565,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_6)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_537]) ).

cnf(c_0_566,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_561]),c_0_136]) ).

cnf(c_0_567,negated_conjecture,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_189]) ).

cnf(c_0_568,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | ~ product(X1,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_557]) ).

cnf(c_0_569,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_564,c_0_557]) ).

cnf(c_0_570,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_357]) ).

cnf(c_0_571,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_567]) ).

cnf(c_0_572,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_194]) ).

cnf(c_0_573,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_570]),c_0_161]) ).

cnf(c_0_574,negated_conjecture,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_3,e_4)
    | product(e_3,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_308]),c_0_206]) ).

cnf(c_0_575,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_4,e_3)
    | ~ product(X1,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_572]) ).

cnf(c_0_576,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_573]),c_0_136]) ).

cnf(c_0_577,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_574]),c_0_136]) ).

cnf(c_0_578,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(X1,e_2,e_4)
    | ~ product(X1,e_6,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_557]) ).

cnf(c_0_579,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_575,c_0_557]) ).

cnf(c_0_580,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_558]) ).

cnf(c_0_581,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_553,c_0_576]) ).

cnf(c_0_582,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(X1,e_3,e_1)
    | ~ product(X1,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_577]) ).

cnf(c_0_583,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_4,e_2,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_578,c_0_579]) ).

cnf(c_0_584,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_581]),c_0_83]) ).

cnf(c_0_585,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_582,c_0_301]) ).

cnf(c_0_586,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_583]) ).

cnf(c_0_587,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_584]),c_0_136]) ).

cnf(c_0_588,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3)
    | product(e_3,e_5,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_585]),c_0_163]) ).

cnf(c_0_589,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_583]) ).

cnf(c_0_590,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_586,c_0_583]) ).

cnf(c_0_591,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_587]) ).

cnf(c_0_592,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_588]),c_0_139]) ).

cnf(c_0_593,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_194]) ).

cnf(c_0_594,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_587]) ).

cnf(c_0_595,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_591,c_0_587]) ).

cnf(c_0_596,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_592]),c_0_83]) ).

cnf(c_0_597,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3)
    | ~ product(e_2,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_593]) ).

cnf(c_0_598,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_5,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_595]),c_0_136]) ).

cnf(c_0_599,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_596]),c_0_136]) ).

cnf(c_0_600,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_598]),c_0_393]) ).

cnf(c_0_601,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_599]),c_0_136]) ).

cnf(c_0_602,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | ~ product(e_2,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_336]) ).

cnf(c_0_603,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_600]),c_0_139]) ).

cnf(c_0_604,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_304,c_0_601]) ).

cnf(c_0_605,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_4,e_5)
    | product(e_2,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_410]) ).

cnf(c_0_606,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_604]) ).

cnf(c_0_607,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6)
    | product(e_2,e_4,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_605]),c_0_393]) ).

cnf(c_0_608,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_604]) ).

cnf(c_0_609,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_606,c_0_604]) ).

cnf(c_0_610,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | product(e_2,e_3,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_607]),c_0_378]) ).

cnf(c_0_611,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_5,e_2)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_609]),c_0_136]) ).

cnf(c_0_612,plain,
    ( product(X1,e_3,e_1)
    | product(X1,e_3,e_2)
    | product(X1,e_3,e_3)
    | product(X1,e_3,e_4)
    | product(X1,e_3,e_5)
    | product(X1,e_3,e_6)
    | ~ group_element(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_62]) ).

cnf(c_0_613,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1)
    | ~ product(e_2,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_610]) ).

cnf(c_0_614,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_611]),c_0_139]) ).

cnf(c_0_615,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_1,e_3,e_6) ),
    inference(spm,[status(thm)],[c_0_612,c_0_57]) ).

cnf(c_0_616,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_614]),c_0_189]) ).

cnf(c_0_617,negated_conjecture,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(X1,e_1,e_6)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_615]) ).

cnf(c_0_618,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_616]) ).

cnf(c_0_619,negated_conjecture,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_617,c_0_616]) ).

cnf(c_0_620,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_2,e_1,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_619]),c_0_78]) ).

cnf(c_0_621,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_2,e_1,e_6)
    | product(X1,e_1,e_5)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_620]) ).

cnf(c_0_622,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_621,c_0_616]) ).

cnf(c_0_623,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(X1,e_1,e_4)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_622]) ).

cnf(c_0_624,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_623,c_0_616]) ).

cnf(c_0_625,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(X1,e_1,e_3)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_624]) ).

cnf(c_0_626,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(X1,e_2,e_1)
    | ~ product(X1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_616]) ).

cnf(c_0_627,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_625,c_0_616]) ).

cnf(c_0_628,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_626,c_0_627]) ).

cnf(c_0_629,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(X1,e_1,e_1)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_628]) ).

cnf(c_0_630,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_3,e_4)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | ~ product(e_1,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_628]) ).

cnf(c_0_631,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_629,c_0_628]) ).

cnf(c_0_632,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_631]),c_0_78]) ).

cnf(c_0_633,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_632]),c_0_178]) ).

cnf(c_0_634,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_633]),c_0_174]) ).

cnf(c_0_635,plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5)
    | product(e_4,e_3,e_6) ),
    inference(spm,[status(thm)],[c_0_612,c_0_80]) ).

cnf(c_0_636,negated_conjecture,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_634]),c_0_194]) ).

cnf(c_0_637,negated_conjecture,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5)
    | product(X1,e_4,e_6)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_635]) ).

cnf(c_0_638,negated_conjecture,
    product(e_2,e_3,e_4),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_636]),c_0_136]) ).

cnf(c_0_639,negated_conjecture,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5)
    | product(e_2,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_637,c_0_638]) ).

cnf(c_0_640,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(X1,e_4,e_1)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_639]) ).

cnf(c_0_641,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_640,c_0_638]) ).

cnf(c_0_642,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(X1,e_4,e_5)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_641]) ).

cnf(c_0_643,plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_3,e_3,e_6) ),
    inference(spm,[status(thm)],[c_0_612,c_0_62]) ).

cnf(c_0_644,negated_conjecture,
    ( equalish(X1,e_2)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_638]) ).

cnf(c_0_645,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_642,c_0_638]) ).

cnf(c_0_646,negated_conjecture,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(X1,e_3,e_6)
    | ~ product(X1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_643]) ).

cnf(c_0_647,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_645]),c_0_194]) ).

cnf(c_0_648,plain,
    ( equalish(X1,e_3)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | ~ product(X1,e_3,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_643]) ).

cnf(c_0_649,negated_conjecture,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_4,e_3,e_6)
    | product(e_4,e_3,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_646,c_0_647]) ).

cnf(c_0_650,negated_conjecture,
    ( product(X1,e_2,e_4)
    | ~ product(X1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_638]) ).

cnf(c_0_651,negated_conjecture,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_4,e_3,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_649]),c_0_189]) ).

cnf(c_0_652,negated_conjecture,
    ( product(e_4,e_2,e_4)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_650,c_0_651]) ).

cnf(c_0_653,negated_conjecture,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_652]) ).

cnf(c_0_654,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_5)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_220]) ).

cnf(c_0_655,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_652]) ).

cnf(c_0_656,negated_conjecture,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_653,c_0_652]) ).

cnf(c_0_657,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_130]),c_0_226]) ).

cnf(c_0_658,negated_conjecture,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_656]),c_0_194]) ).

cnf(c_0_659,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_140,c_0_657]) ).

cnf(c_0_660,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_3,e_1)
    | ~ product(X1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_658]) ).

cnf(c_0_661,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | ~ product(e_4,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_659]) ).

cnf(c_0_662,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_658]) ).

cnf(c_0_663,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_660,c_0_647]) ).

cnf(c_0_664,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_1,e_2)
    | ~ product(e_4,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_657]) ).

cnf(c_0_665,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_4,e_3,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_647]),c_0_136]) ).

cnf(c_0_666,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_663]),c_0_189]) ).

cnf(c_0_667,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_665]),c_0_206]) ).

cnf(c_0_668,negated_conjecture,
    ( product(e_4,e_2,e_4)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_650,c_0_666]) ).

cnf(c_0_669,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_667]),c_0_136]) ).

cnf(c_0_670,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_668]) ).

cnf(c_0_671,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_140,c_0_669]) ).

cnf(c_0_672,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_668]) ).

cnf(c_0_673,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_670,c_0_668]) ).

cnf(c_0_674,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_671]) ).

cnf(c_0_675,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_194]) ).

cnf(c_0_676,axiom,
    ~ equalish(e_3,e_4),
    e_3_is_not_e_4 ).

cnf(c_0_677,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_675]),c_0_676]) ).

cnf(c_0_678,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_4,e_3,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(X1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_647]) ).

cnf(c_0_679,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_677]),c_0_136]) ).

cnf(c_0_680,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_679]),c_0_676]) ).

cnf(c_0_681,negated_conjecture,
    ( product(e_4,e_2,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_650,c_0_680]) ).

cnf(c_0_682,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_3,e_2)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_681]) ).

cnf(c_0_683,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_3,e_2)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_681]) ).

cnf(c_0_684,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_3,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_682,c_0_681]) ).

cnf(c_0_685,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_683,c_0_684]),c_0_194]) ).

cnf(c_0_686,negated_conjecture,
    ( product(e_3,e_2,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_650,c_0_685]) ).

cnf(c_0_687,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_686]),c_0_340]) ).

cnf(c_0_688,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_687]),c_0_136]) ).

cnf(c_0_689,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_140,c_0_688]) ).

cnf(c_0_690,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_689]) ).

cnf(c_0_691,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_689]) ).

cnf(c_0_692,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_690,c_0_689]) ).

cnf(c_0_693,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_692]),c_0_136]) ).

cnf(c_0_694,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_693]),c_0_226]) ).

cnf(c_0_695,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_694]),c_0_194]) ).

cnf(c_0_696,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_695]) ).

cnf(c_0_697,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_693]) ).

cnf(c_0_698,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_696,c_0_695]) ).

cnf(c_0_699,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_675]) ).

cnf(c_0_700,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_4,e_5)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_698]),c_0_136]) ).

cnf(c_0_701,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_700]),c_0_189]) ).

cnf(c_0_702,negated_conjecture,
    ( product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_701]),c_0_136]) ).

cnf(c_0_703,negated_conjecture,
    ( product(e_4,e_3,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_702]),c_0_676]) ).

cnf(c_0_704,negated_conjecture,
    ( product(e_4,e_2,e_4)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_650,c_0_703]) ).

cnf(c_0_705,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_2)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_2,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_704]) ).

cnf(c_0_706,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_2)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_704]) ).

cnf(c_0_707,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_705,c_0_704]) ).

cnf(c_0_708,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_707]),c_0_194]) ).

cnf(c_0_709,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(X1,e_4,e_2)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_222]) ).

cnf(c_0_710,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6)
    | product(X1,e_1,e_2)
    | ~ product(X1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_158]) ).

cnf(c_0_711,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_3,e_2)
    | ~ product(X1,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_708]) ).

cnf(c_0_712,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_709,c_0_127]) ).

cnf(c_0_713,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_4,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_710,c_0_138]) ).

cnf(c_0_714,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(X1,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_708]) ).

cnf(c_0_715,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_711,c_0_647]) ).

cnf(c_0_716,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_712]) ).

cnf(c_0_717,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_713]),c_0_163]) ).

cnf(c_0_718,negated_conjecture,
    ( product(e_2,e_4,e_6)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_715]),c_0_189]) ).

cnf(c_0_719,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_712]) ).

cnf(c_0_720,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_716,c_0_712]) ).

cnf(c_0_721,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_5,e_4,e_5)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_4,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_216,c_0_717]) ).

cnf(c_0_722,negated_conjecture,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_718]),c_0_226]) ).

cnf(c_0_723,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_720]),c_0_189]) ).

cnf(c_0_724,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_5,e_4,e_5)
    | product(e_5,e_1,e_2)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_721]),c_0_174]) ).

cnf(c_0_725,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_722]),c_0_357]) ).

cnf(c_0_726,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_723]) ).

cnf(c_0_727,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_5,e_4,e_5)
    | product(e_4,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_140,c_0_724]) ).

cnf(c_0_728,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_6,e_5)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_725]) ).

cnf(c_0_729,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_130]),c_0_442]) ).

cnf(c_0_730,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6)
    | product(X1,e_5,e_5)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_727]) ).

cnf(c_0_731,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_6,e_4,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_216,c_0_171]) ).

cnf(c_0_732,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_4,e_1)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_722]) ).

cnf(c_0_733,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_728,c_0_718]) ).

cnf(c_0_734,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_729]) ).

cnf(c_0_735,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6)
    | ~ product(e_5,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_727]) ).

cnf(c_0_736,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6)
    | product(e_5,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_730,c_0_727]) ).

cnf(c_0_737,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_6,e_4,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_6,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_731]),c_0_178]) ).

cnf(c_0_738,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_722]) ).

cnf(c_0_739,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_732,c_0_733]) ).

cnf(c_0_740,negated_conjecture,
    ( product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_3,e_5,e_6)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_247,c_0_734]) ).

cnf(c_0_741,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_736]),c_0_163]) ).

cnf(c_0_742,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_734]) ).

cnf(c_0_743,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_6,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_6,e_4,e_5)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_140,c_0_737]) ).

cnf(c_0_744,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_739]),c_0_169]) ).

cnf(c_0_745,negated_conjecture,
    ( product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_3,e_5,e_6)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(X1,e_5,e_1)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_740]) ).

cnf(c_0_746,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_741]) ).

cnf(c_0_747,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_6,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_743]),c_0_172]) ).

cnf(c_0_748,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_4,e_2)
    | product(e_2,e_6,e_5)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_744]) ).

cnf(c_0_749,negated_conjecture,
    ( product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_3,e_5,e_6)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_745,c_0_734]) ).

cnf(c_0_750,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_746,c_0_747]),c_0_181]) ).

cnf(c_0_751,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_2,e_6)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_718]) ).

cnf(c_0_752,negated_conjecture,
    ( product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_4,e_2)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_748,c_0_718]) ).

cnf(c_0_753,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_749]),c_0_167]) ).

cnf(c_0_754,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_750]),c_0_98]) ).

cnf(c_0_755,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_2,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_751,c_0_752]) ).

cnf(c_0_756,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_753]) ).

cnf(c_0_757,negated_conjecture,
    ( product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_216,c_0_754]) ).

cnf(c_0_758,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_755]) ).

cnf(c_0_759,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(X1,e_3,e_5)
    | ~ product(X1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_734]) ).

cnf(c_0_760,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_756,c_0_734]) ).

cnf(c_0_761,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_5)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_757]),c_0_78]) ).

cnf(c_0_762,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_755]) ).

cnf(c_0_763,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_758,c_0_755]) ).

cnf(c_0_764,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_335,c_0_718]) ).

cnf(c_0_765,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_5,e_3,e_5)
    | product(e_5,e_4,e_2)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_759,c_0_760]) ).

cnf(c_0_766,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_1,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_5)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_761]) ).

cnf(c_0_767,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_4,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_763]),c_0_178]) ).

cnf(c_0_768,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_6,e_5)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_764]) ).

cnf(c_0_769,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_5,e_3,e_5)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(X1,e_5,e_2)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_765]) ).

cnf(c_0_770,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_766]),c_0_83]) ).

cnf(c_0_771,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(X1,e_4,e_5)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_767]) ).

cnf(c_0_772,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_768,c_0_718]) ).

cnf(c_0_773,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_5,e_3,e_5)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_769,c_0_734]) ).

cnf(c_0_774,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_746,c_0_770]),c_0_187]) ).

cnf(c_0_775,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_767]) ).

cnf(c_0_776,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_5)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_771,c_0_772]) ).

cnf(c_0_777,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(X1,e_5,e_5)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_773]) ).

cnf(c_0_778,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_774]),c_0_189]) ).

cnf(c_0_779,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_776]),c_0_169]) ).

cnf(c_0_780,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | ~ product(e_5,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_773]) ).

cnf(c_0_781,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_5,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_777,c_0_773]) ).

cnf(c_0_782,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_778]),c_0_194]) ).

cnf(c_0_783,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_779]) ).

cnf(c_0_784,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_6)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_781]),c_0_167]) ).

cnf(c_0_785,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(X1,e_4,e_2)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_782]) ).

cnf(c_0_786,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_783,c_0_718]) ).

cnf(c_0_787,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | ~ product(X1,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_784]) ).

cnf(c_0_788,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_785,c_0_127]) ).

cnf(c_0_789,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_2,e_6)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_751,c_0_786]) ).

cnf(c_0_790,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_788]),c_0_189]) ).

cnf(c_0_791,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_1)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_789]) ).

cnf(c_0_792,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_790]),c_0_136]) ).

cnf(c_0_793,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_1)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_789]) ).

cnf(c_0_794,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_1)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_791,c_0_789]) ).

cnf(c_0_795,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_1)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_792]) ).

cnf(c_0_796,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_772]) ).

cnf(c_0_797,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_793,c_0_794]),c_0_178]) ).

cnf(c_0_798,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_795]) ).

cnf(c_0_799,negated_conjecture,
    ( product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_3,e_1,e_6)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_210,c_0_795]) ).

cnf(c_0_800,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_797]),c_0_357]) ).

cnf(c_0_801,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_3,e_1,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_799]),c_0_83]) ).

cnf(c_0_802,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_800]) ).

cnf(c_0_803,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_3,e_1,e_6)
    | product(X1,e_1,e_5)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_801]) ).

cnf(c_0_804,negated_conjecture,
    ( product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_802,c_0_718]) ).

cnf(c_0_805,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_803,c_0_795]) ).

cnf(c_0_806,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_2,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_751,c_0_804]) ).

cnf(c_0_807,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(X1,e_1,e_4)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_805]) ).

cnf(c_0_808,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_806]) ).

cnf(c_0_809,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(X1,e_3,e_1)
    | ~ product(X1,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_795]) ).

cnf(c_0_810,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_807,c_0_795]) ).

cnf(c_0_811,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_6,e_3)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_806]) ).

cnf(c_0_812,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_6,e_3)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_808,c_0_806]) ).

cnf(c_0_813,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_809,c_0_810]) ).

cnf(c_0_814,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_811,c_0_812]),c_0_178]) ).

cnf(c_0_815,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(X1,e_1,e_2)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_813]) ).

cnf(c_0_816,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3)
    | product(X1,e_4,e_3)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_814]) ).

cnf(c_0_817,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_815,c_0_795]) ).

cnf(c_0_818,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3)
    | ~ product(X1,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_814]) ).

cnf(c_0_819,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_816,c_0_772]) ).

cnf(c_0_820,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_2)
    | product(X1,e_1,e_1)
    | ~ product(X1,e_3,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_817]) ).

cnf(c_0_821,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_818,c_0_819]),c_0_169]) ).

cnf(c_0_822,plain,
    ( product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_5,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_365,c_0_123]) ).

cnf(c_0_823,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_2)
    | ~ product(e_1,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_817]) ).

cnf(c_0_824,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_820,c_0_817]) ).

cnf(c_0_825,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_2,e_6)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_751,c_0_821]) ).

cnf(c_0_826,plain,
    ( product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_822]),c_0_393]) ).

cnf(c_0_827,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_824]),c_0_83]) ).

cnf(c_0_828,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_825]) ).

cnf(c_0_829,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(X1,e_6,e_1)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_826]) ).

cnf(c_0_830,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_2)
    | ~ greater(e_6,X1)
    | ~ next(e_3,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_827]) ).

cnf(c_0_831,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_825]) ).

cnf(c_0_832,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_828,c_0_825]) ).

cnf(c_0_833,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_829,c_0_822]) ).

cnf(c_0_834,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | ~ product(e_3,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_734]) ).

cnf(c_0_835,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_830,c_0_74]),c_0_75])]) ).

cnf(c_0_836,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_4,e_4,e_2)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_832]),c_0_178]) ).

cnf(c_0_837,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(X1,e_6,e_5)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_833]) ).

cnf(c_0_838,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_774]) ).

cnf(c_0_839,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_835]),c_0_98]) ).

cnf(c_0_840,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(X1,e_4,e_2)
    | ~ product(X1,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_836]) ).

cnf(c_0_841,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_837,c_0_822]) ).

cnf(c_0_842,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_838,c_0_839]),c_0_676]) ).

cnf(c_0_843,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3) ),
    inference(spm,[status(thm)],[c_0_840,c_0_772]) ).

cnf(c_0_844,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(X1,e_6,e_4)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_841]) ).

cnf(c_0_845,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_842]),c_0_194]) ).

cnf(c_0_846,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_2)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_843]) ).

cnf(c_0_847,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_844,c_0_822]) ).

cnf(c_0_848,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(X1,e_4,e_2)
    | ~ product(X1,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_845]) ).

cnf(c_0_849,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_836]) ).

cnf(c_0_850,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_846,c_0_718]) ).

cnf(c_0_851,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_847]) ).

cnf(c_0_852,plain,
    ( equalish(X1,e_1)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | ~ product(X1,e_5,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_208]) ).

cnf(c_0_853,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_4,e_5,e_6)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_848,c_0_839]) ).

cnf(c_0_854,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_551]) ).

cnf(c_0_855,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_849,c_0_850]),c_0_169]) ).

cnf(c_0_856,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_851,c_0_822]) ).

cnf(c_0_857,negated_conjecture,
    ( product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_852,c_0_853]),c_0_429]) ).

cnf(c_0_858,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_854,c_0_855]),c_0_226]) ).

cnf(c_0_859,negated_conjecture,
    ( product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(X1,e_6,e_2)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_856]) ).

cnf(c_0_860,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_857]),c_0_83]) ).

cnf(c_0_861,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_858]) ).

cnf(c_0_862,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_855]),c_0_442]) ).

cnf(c_0_863,negated_conjecture,
    ( product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_859,c_0_822]) ).

cnf(c_0_864,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_3,e_1,e_2)
    | product(X1,e_1,e_5)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_860]) ).

cnf(c_0_865,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_861,c_0_862]),c_0_676]) ).

cnf(c_0_866,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_863]) ).

cnf(c_0_867,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(X1,e_4,e_6)
    | ~ product(X1,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_853]) ).

cnf(c_0_868,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_864,c_0_795]) ).

cnf(c_0_869,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_865]) ).

cnf(c_0_870,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_866,c_0_855]),c_0_348]) ).

cnf(c_0_871,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_6)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_3,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_867,c_0_868]) ).

cnf(c_0_872,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(X1,e_3,e_5)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_862]) ).

cnf(c_0_873,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_869,c_0_865]) ).

cnf(c_0_874,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_870]) ).

cnf(c_0_875,axiom,
    ~ equalish(e_3,e_5),
    e_3_is_not_e_5 ).

cnf(c_0_876,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_6)
    | product(e_1,e_5,e_2)
    | product(e_3,e_1,e_5)
    | product(X1,e_1,e_3)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_871]) ).

cnf(c_0_877,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(X1,e_2,e_1)
    | ~ product(X1,e_6,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_855]) ).

cnf(c_0_878,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_4,e_3,e_5)
    | product(e_4,e_6,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_872,c_0_873]) ).

cnf(c_0_879,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_862]),c_0_875]) ).

cnf(c_0_880,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_6)
    | product(e_1,e_5,e_2)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_876,c_0_795]) ).

cnf(c_0_881,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_865]) ).

cnf(c_0_882,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_4,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_4,e_3,e_5)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_877,c_0_878]) ).

cnf(c_0_883,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_879]) ).

cnf(c_0_884,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_3)
    | product(X1,e_1,e_2)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_880]) ).

cnf(c_0_885,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_4,e_2,e_1)
    | product(e_4,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_881,c_0_882]),c_0_357]) ).

cnf(c_0_886,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_883,c_0_862]) ).

cnf(c_0_887,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_68,c_0_718]) ).

cnf(c_0_888,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_6)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_884,c_0_795]) ).

cnf(c_0_889,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_4,e_3,e_5)
    | product(e_4,e_6,e_2)
    | product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_872,c_0_885]) ).

cnf(c_0_890,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_3,e_5)
    | product(e_5,e_6,e_2)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_872,c_0_886]) ).

cnf(c_0_891,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_887,c_0_888]),c_0_78]) ).

cnf(c_0_892,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_4,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_4,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_877,c_0_889]) ).

cnf(c_0_893,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_5,e_3,e_5)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_877,c_0_890]) ).

cnf(c_0_894,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_891]),c_0_98]) ).

cnf(c_0_895,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_4,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(X1,e_4,e_5)
    | ~ product(X1,e_3,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_892]) ).

cnf(c_0_896,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(X1,e_5,e_5)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_893]) ).

cnf(c_0_897,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_894]),c_0_136]) ).

cnf(c_0_898,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_4,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_895,c_0_638]) ).

cnf(c_0_899,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | ~ product(e_5,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_893]) ).

cnf(c_0_900,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(e_5,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_896,c_0_893]) ).

cnf(c_0_901,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_5,e_4)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_897]) ).

cnf(c_0_902,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_898]) ).

cnf(c_0_903,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_899,c_0_900]),c_0_167]) ).

cnf(c_0_904,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_901]),c_0_139]) ).

cnf(c_0_905,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_902,c_0_903]),c_0_163]) ).

cnf(c_0_906,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_904]),c_0_136]) ).

cnf(c_0_907,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_905]),c_0_161]) ).

cnf(c_0_908,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_906]) ).

cnf(c_0_909,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_5,e_4)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_907]) ).

cnf(c_0_910,plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_365,c_0_57]) ).

cnf(c_0_911,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(e_3,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_908]) ).

cnf(c_0_912,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_5,e_4)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_909,c_0_907]) ).

cnf(c_0_913,plain,
    ( product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_910]),c_0_410]) ).

cnf(c_0_914,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_911,c_0_912]),c_0_181]) ).

cnf(c_0_915,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(X1,e_6,e_1)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_913]) ).

cnf(c_0_916,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_3,e_1,e_2)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_914]),c_0_136]) ).

cnf(c_0_917,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_915,c_0_910]) ).

cnf(c_0_918,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(e_3,e_5,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_908]) ).

cnf(c_0_919,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_140,c_0_916]) ).

cnf(c_0_920,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(X1,e_6,e_5)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_917]) ).

cnf(c_0_921,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_3,e_3)
    | ~ product(e_3,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_912]) ).

cnf(c_0_922,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_918,c_0_919]),c_0_194]) ).

cnf(c_0_923,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_920,c_0_910]) ).

cnf(c_0_924,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_921,c_0_922]),c_0_357]) ).

cnf(c_0_925,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(X1,e_6,e_4)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_923]) ).

cnf(c_0_926,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_924]),c_0_136]) ).

cnf(c_0_927,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_925,c_0_910]) ).

cnf(c_0_928,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_140,c_0_926]) ).

cnf(c_0_929,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_927]) ).

cnf(c_0_930,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_928]),c_0_139]) ).

cnf(c_0_931,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_929,c_0_910]) ).

cnf(c_0_932,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_3,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_930]),c_0_136]) ).

cnf(c_0_933,negated_conjecture,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(X1,e_6,e_2)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_931]) ).

cnf(c_0_934,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_140,c_0_932]) ).

cnf(c_0_935,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_862]),c_0_169]) ).

cnf(c_0_936,negated_conjecture,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_933,c_0_910]) ).

cnf(c_0_937,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_934]) ).

cnf(c_0_938,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_935]),c_0_161]) ).

cnf(c_0_939,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(X1,e_5,e_1)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_863]) ).

cnf(c_0_940,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_866,c_0_936]),c_0_187]) ).

cnf(c_0_941,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_6,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_937,c_0_938]),c_0_172]) ).

cnf(c_0_942,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | ~ product(e_4,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_659]) ).

cnf(c_0_943,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_1,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_939,c_0_940]) ).

cnf(c_0_944,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_911,c_0_941]),c_0_181]) ).

cnf(c_0_945,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_942,c_0_898]),c_0_83]) ).

cnf(c_0_946,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_1,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(X1,e_1,e_4)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_943]) ).

cnf(c_0_947,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_944]),c_0_136]) ).

cnf(c_0_948,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_945]),c_0_161]) ).

cnf(c_0_949,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_1,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_5,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_946,c_0_863]) ).

cnf(c_0_950,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_140,c_0_947]) ).

cnf(c_0_951,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_948]) ).

cnf(c_0_952,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_1,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(X1,e_1,e_3)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_949]) ).

cnf(c_0_953,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_950]) ).

cnf(c_0_954,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_2,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_951,c_0_934]),c_0_378]) ).

cnf(c_0_955,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_1,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_952,c_0_863]) ).

cnf(c_0_956,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_953,c_0_954]),c_0_169]) ).

cnf(c_0_957,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_1,e_5,e_1)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(X1,e_1,e_2)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_955]) ).

cnf(c_0_958,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_956]),c_0_136]) ).

cnf(c_0_959,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_1,e_5,e_1)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_957,c_0_863]) ).

cnf(c_0_960,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_950]) ).

cnf(c_0_961,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_140,c_0_958]) ).

cnf(c_0_962,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(X1,e_1,e_1)
    | ~ product(X1,e_5,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_959]) ).

cnf(c_0_963,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_960,c_0_961]),c_0_174]) ).

cnf(c_0_964,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,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_1,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_959]) ).

cnf(c_0_965,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,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_1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_962,c_0_959]) ).

cnf(c_0_966,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_963]) ).

cnf(c_0_967,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_965]),c_0_187]) ).

cnf(c_0_968,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_963]) ).

cnf(c_0_969,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_966,c_0_963]) ).

cnf(c_0_970,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_967]) ).

cnf(c_0_971,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_968,c_0_969]),c_0_136]) ).

cnf(c_0_972,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_970,c_0_971]),c_0_348]) ).

cnf(c_0_973,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_972]) ).

cnf(c_0_974,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_973,c_0_971]) ).

cnf(c_0_975,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(X1,e_5,e_3)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_974]) ).

cnf(c_0_976,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(X1,e_2,e_5)
    | ~ product(X1,e_6,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_971]) ).

cnf(c_0_977,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_975,c_0_971]) ).

cnf(c_0_978,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_764]),c_0_172]) ).

cnf(c_0_979,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,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_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_976,c_0_977]) ).

cnf(c_0_980,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(X1,e_6,e_4)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_978]) ).

cnf(c_0_981,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_5)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_2)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_979]),c_0_167]) ).

cnf(c_0_982,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_980,c_0_718]) ).

cnf(c_0_983,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_5)
    | product(e_5,e_1,e_2)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_981]),c_0_174]) ).

cnf(c_0_984,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_4)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_4,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_982]) ).

cnf(c_0_985,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_5)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_140,c_0_983]) ).

cnf(c_0_986,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_6,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_984,c_0_718]) ).

cnf(c_0_987,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(X1,e_5,e_5)
    | ~ product(X1,e_2,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_985]) ).

cnf(c_0_988,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_6,e_2,e_6)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_751,c_0_986]) ).

cnf(c_0_989,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | ~ product(e_5,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_985]) ).

cnf(c_0_990,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_5,e_5,e_5) ),
    inference(spm,[status(thm)],[c_0_987,c_0_985]) ).

cnf(c_0_991,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(X1,e_6,e_6)
    | ~ product(X1,e_2,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_988]) ).

cnf(c_0_992,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_659]) ).

cnf(c_0_993,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_5,e_2,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_989,c_0_990]),c_0_174]) ).

cnf(c_0_994,plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_365,c_0_59]) ).

cnf(c_0_995,axiom,
    ~ equalish(e_2,e_6),
    e_2_is_not_e_6 ).

cnf(c_0_996,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_6,X1,e_6) ),
    inference(spm,[status(thm)],[c_0_146,c_0_988]) ).

cnf(c_0_997,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_6,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_991,c_0_988]) ).

cnf(c_0_998,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_992,c_0_993]),c_0_163]) ).

cnf(c_0_999,plain,
    ( product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_994]),c_0_995]) ).

cnf(c_0_1000,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_996,c_0_997]),c_0_178]) ).

cnf(c_0_1001,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_998]),c_0_136]) ).

cnf(c_0_1002,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(X1,e_6,e_1)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_999]) ).

cnf(c_0_1003,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | ~ product(e_3,e_4,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_1000]) ).

cnf(c_0_1004,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_4,e_5)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_140,c_0_1001]) ).

cnf(c_0_1005,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_1002,c_0_994]) ).

cnf(c_0_1006,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1003,c_0_1004]),c_0_174]) ).

cnf(c_0_1007,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(X1,e_6,e_5)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1005]) ).

cnf(c_0_1008,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(X1,e_3,e_3)
    | ~ product(X1,e_2,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1006]) ).

cnf(c_0_1009,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_1007,c_0_994]) ).

cnf(c_0_1010,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | ~ product(e_3,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1006]) ).

cnf(c_0_1011,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_3,e_3,e_3) ),
    inference(spm,[status(thm)],[c_0_1008,c_0_1006]) ).

cnf(c_0_1012,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(X1,e_6,e_4)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1009]) ).

cnf(c_0_1013,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | ~ product(e_2,e_6,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_971]) ).

cnf(c_0_1014,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1010,c_0_1011]),c_0_136]) ).

cnf(c_0_1015,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_1012,c_0_994]) ).

cnf(c_0_1016,negated_conjecture,
    ( equalish(X1,e_3)
    | ~ product(e_2,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_638]) ).

cnf(c_0_1017,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1013,c_0_1014]),c_0_187]) ).

cnf(c_0_1018,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(X1,e_6,e_3)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1015]) ).

cnf(c_0_1019,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(e_2,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_130]) ).

cnf(c_0_1020,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1017]),c_0_172]) ).

cnf(c_0_1021,negated_conjecture,
    ( product(e_6,e_6,e_2)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_1018,c_0_994]) ).

cnf(c_0_1022,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1019,c_0_1020]),c_0_161]) ).

cnf(c_0_1023,negated_conjecture,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(X1,e_6,e_2)
    | ~ product(X1,e_6,e_6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1021]) ).

cnf(c_0_1024,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(X1,e_2,e_2)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1022]) ).

cnf(c_0_1025,negated_conjecture,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_1023,c_0_994]) ).

cnf(c_0_1026,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_1024,c_0_1022]) ).

cnf(c_0_1027,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_854,c_0_1025]),c_0_226]) ).

cnf(c_0_1028,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_3)
    | product(e_2,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1026]),c_0_167]) ).

cnf(c_0_1029,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1027]) ).

cnf(c_0_1030,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_1025]),c_0_442]) ).

cnf(c_0_1031,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1019,c_0_1028]),c_0_139]) ).

cnf(c_0_1032,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_866,c_0_1025]),c_0_348]) ).

cnf(c_0_1033,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1029,c_0_1030]),c_0_676]) ).

cnf(c_0_1034,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(X1,e_2,e_2)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1031]) ).

cnf(c_0_1035,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1032]) ).

cnf(c_0_1036,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(X1,e_4,e_4)
    | ~ product(X1,e_6,e_4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1033]) ).

cnf(c_0_1037,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_1034,c_0_1031]) ).

cnf(c_0_1038,negated_conjecture,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(X1,e_1,e_6)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_337]) ).

cnf(c_0_1039,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1035,c_0_1030]),c_0_875]) ).

cnf(c_0_1040,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(X1,e_3,e_5)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1030]) ).

cnf(c_0_1041,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1036,c_0_1033]) ).

cnf(c_0_1042,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1025]) ).

cnf(c_0_1043,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1037]) ).

cnf(c_0_1044,negated_conjecture,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_1038,c_0_1037]) ).

cnf(c_0_1045,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1039]) ).

cnf(c_0_1046,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(X1,e_2,e_1)
    | ~ product(X1,e_6,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1025]) ).

cnf(c_0_1047,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_4,e_3,e_5)
    | product(e_4,e_6,e_2)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1040,c_0_1041]) ).

cnf(c_0_1048,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1030]) ).

cnf(c_0_1049,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_936]),c_0_78]) ).

cnf(c_0_1050,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_1,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1043,c_0_1044]),c_0_78]) ).

cnf(c_0_1051,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1045,c_0_1030]) ).

cnf(c_0_1052,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | ~ product(e_4,X1,e_4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1033]) ).

cnf(c_0_1053,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_4,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_4,e_3,e_5)
    | product(e_4,e_4,e_4) ),
    inference(spm,[status(thm)],[c_0_1046,c_0_1047]) ).

cnf(c_0_1054,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1048,c_0_1049]),c_0_83]) ).

cnf(c_0_1055,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_2,e_1,e_6)
    | product(X1,e_1,e_5)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1050]) ).

cnf(c_0_1056,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_5,e_3,e_5)
    | product(e_5,e_6,e_2)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1040,c_0_1051]) ).

cnf(c_0_1057,negated_conjecture,
    ( product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_4,e_2,e_1)
    | product(e_4,e_3,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1052,c_0_1053]),c_0_357]) ).

cnf(c_0_1058,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(X1,e_1,e_4)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1054]) ).

cnf(c_0_1059,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_1055,c_0_1037]) ).

cnf(c_0_1060,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_5,e_3,e_5)
    | product(e_3,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1046,c_0_1056]) ).

cnf(c_0_1061,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_4,e_3,e_5)
    | product(e_4,e_6,e_2)
    | product(e_4,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_1040,c_0_1057]) ).

cnf(c_0_1062,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_1058,c_0_1025]) ).

cnf(c_0_1063,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(X1,e_1,e_4)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1059]) ).

cnf(c_0_1064,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1060]) ).

cnf(c_0_1065,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_4,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_4,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_1046,c_0_1061]) ).

cnf(c_0_1066,negated_conjecture,
    ( product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_3,e_5)
    | product(e_1,e_6,e_2)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_1040,c_0_1062]) ).

cnf(c_0_1067,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_1063,c_0_1037]) ).

cnf(c_0_1068,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(e_4,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1064,c_0_1065]),c_0_361]) ).

cnf(c_0_1069,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_4,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | ~ product(X1,e_3,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1065]) ).

cnf(c_0_1070,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_1,e_3,e_5)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_1046,c_0_1066]) ).

cnf(c_0_1071,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(X1,e_1,e_3)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1067]) ).

cnf(c_0_1072,negated_conjecture,
    ( equalish(X1,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(e_4,e_2,e_1)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1068]) ).

cnf(c_0_1073,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_4,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1069,c_0_1070]),c_0_98]) ).

cnf(c_0_1074,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(X1,e_2,e_1)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1037]) ).

cnf(c_0_1075,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_1071,c_0_1037]) ).

cnf(c_0_1076,negated_conjecture,
    ( equalish(X1,e_6)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | ~ product(e_2,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1025]) ).

cnf(c_0_1077,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(e_4,e_2,e_1)
    | product(e_2,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1072,c_0_1073]),c_0_187]) ).

cnf(c_0_1078,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_1074,c_0_1075]) ).

cnf(c_0_1079,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1076,c_0_1037]),c_0_357]) ).

cnf(c_0_1080,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1077]) ).

cnf(c_0_1081,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_5,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1064,c_0_1070]),c_0_187]) ).

cnf(c_0_1082,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(X1,e_1,e_5)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1049]) ).

cnf(c_0_1083,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(X1,e_1,e_1)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1078]) ).

cnf(c_0_1084,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1079]) ).

cnf(c_0_1085,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_2,e_5,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_939,c_0_1079]) ).

cnf(c_0_1086,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(e_5,e_2,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1080,c_0_1081]),c_0_98]) ).

cnf(c_0_1087,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_2,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_1082,c_0_1025]) ).

cnf(c_0_1088,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | ~ product(e_1,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1078]) ).

cnf(c_0_1089,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_1083,c_0_1078]) ).

cnf(c_0_1090,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_2,e_5,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1084,c_0_1085]),c_0_174]) ).

cnf(c_0_1091,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1080,c_0_1086]),c_0_163]) ).

cnf(c_0_1092,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_1,e_5)
    | product(X1,e_1,e_4)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1087]) ).

cnf(c_0_1093,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1088,c_0_1089]),c_0_78]) ).

cnf(c_0_1094,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_2,e_5,e_1)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1090]) ).

cnf(c_0_1095,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(X1,e_3,e_4)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1091]) ).

cnf(c_0_1096,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_1092,c_0_1025]) ).

cnf(c_0_1097,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | ~ greater(e_6,X1)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_1093]) ).

cnf(c_0_1098,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1094,c_0_1079]) ).

cnf(c_0_1099,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_2,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_1095,c_0_1096]) ).

cnf(c_0_1100,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1097,c_0_64]),c_0_65])]) ).

cnf(c_0_1101,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_5,e_6,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(X1,e_5,e_3)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1098]) ).

cnf(c_0_1102,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(e_1,e_3,e_4)
    | product(e_2,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_1046,c_0_1099]) ).

cnf(c_0_1103,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | ~ greater(e_5,X1)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_1100]) ).

cnf(c_0_1104,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_5,e_6,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_1101,c_0_1079]) ).

cnf(c_0_1105,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_2,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_1102]),c_0_78]) ).

cnf(c_0_1106,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1103,c_0_117]),c_0_65])]) ).

cnf(c_0_1107,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(X1,e_5,e_2)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1104]) ).

cnf(c_0_1108,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(X1,e_1,e_1)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1105]) ).

cnf(c_0_1109,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1106]),c_0_83]) ).

cnf(c_0_1110,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1107,c_0_1079]) ).

cnf(c_0_1111,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | ~ product(e_1,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1105]) ).

cnf(c_0_1112,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_1108,c_0_1105]) ).

cnf(c_0_1113,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | ~ product(e_2,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1109]) ).

cnf(c_0_1114,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1110]),c_0_172]) ).

cnf(c_0_1115,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | ~ product(X1,e_6,e_3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1096]) ).

cnf(c_0_1116,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1111,c_0_1112]),c_0_78]) ).

cnf(c_0_1117,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1113,c_0_1114]),c_0_161]) ).

cnf(c_0_1118,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_1,e_6,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_3,e_6,e_2)
    | product(e_3,e_5,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1115,c_0_1116]),c_0_206]) ).

cnf(c_0_1119,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2)
    | product(X1,e_2,e_2)
    | ~ product(X1,e_6,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1117]) ).

cnf(c_0_1120,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_3,e_6,e_2)
    | product(e_3,e_5,e_4)
    | product(X1,e_1,e_2)
    | ~ product(X1,e_6,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1118]) ).

cnf(c_0_1121,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | ~ product(e_2,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1037]) ).

cnf(c_0_1122,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1119,c_0_1117]) ).

cnf(c_0_1123,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_3,e_6,e_2)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_1120,c_0_1025]) ).

cnf(c_0_1124,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1121,c_0_1122]),c_0_163]) ).

cnf(c_0_1125,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_2,e_1)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_3,e_5,e_4)
    | product(e_2,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_1046,c_0_1123]) ).

cnf(c_0_1126,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1124]),c_0_167]) ).

cnf(c_0_1127,negated_conjecture,
    ( product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_2,e_1)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_1125]),c_0_139]) ).

cnf(c_0_1128,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1113,c_0_1126]),c_0_139]) ).

cnf(c_0_1129,negated_conjecture,
    ( product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(X1,e_3,e_2)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_729]) ).

cnf(c_0_1130,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_2,e_1)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1127]),c_0_136]) ).

cnf(c_0_1131,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2)
    | product(X1,e_2,e_2)
    | ~ product(X1,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1128]) ).

cnf(c_0_1132,negated_conjecture,
    ( product(e_3,e_4,e_5)
    | product(e_3,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_1129,c_0_130]) ).

cnf(c_0_1133,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_2,e_1)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(X1,e_3,e_2)
    | ~ product(X1,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1130]) ).

cnf(c_0_1134,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_2,e_2) ),
    inference(spm,[status(thm)],[c_0_1131,c_0_1128]) ).

cnf(c_0_1135,negated_conjecture,
    ( equalish(X1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2)
    | ~ product(X1,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1132]) ).

cnf(c_0_1136,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_3,e_2,e_1)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_1133,c_0_130]) ).

cnf(c_0_1137,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(X1,e_2,e_5)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1134]) ).

cnf(c_0_1138,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2)
    | product(e_2,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1135,c_0_1134]),c_0_442]) ).

cnf(c_0_1139,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2)
    | ~ product(e_3,e_2,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_1136]) ).

cnf(c_0_1140,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_1137,c_0_1138]) ).

cnf(c_0_1141,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_2,e_2)
    | ~ product(e_2,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1134]) ).

cnf(c_0_1142,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2)
    | product(e_2,e_2,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1139,c_0_1140]),c_0_139]) ).

cnf(c_0_1143,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1141,c_0_1142]),c_0_169]) ).

cnf(c_0_1144,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1143]),c_0_172]) ).

cnf(c_0_1145,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1019,c_0_1144]),c_0_161]) ).

cnf(c_0_1146,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2)
    | product(X1,e_2,e_2)
    | ~ product(X1,e_6,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1145]) ).

cnf(c_0_1147,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_1146,c_0_1145]) ).

cnf(c_0_1148,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1141,c_0_1147]),c_0_98]) ).

cnf(c_0_1149,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1148]),c_0_83]) ).

cnf(c_0_1150,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_3,e_2)
    | product(X1,e_2,e_2)
    | ~ product(X1,e_1,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1149]) ).

cnf(c_0_1151,negated_conjecture,
    ( equalish(X1,e_4)
    | ~ product(e_2,e_3,X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_638]) ).

cnf(c_0_1152,negated_conjecture,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_1150,c_0_1149]) ).

cnf(c_0_1153,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | ~ product(e_2,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1022]) ).

cnf(c_0_1154,negated_conjecture,
    product(e_2,e_2,e_2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1151,c_0_1152]),c_0_226]) ).

cnf(c_0_1155,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1153,c_0_1154]),c_0_340]) ).

cnf(c_0_1156,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1155]),c_0_167]) ).

cnf(c_0_1157,negated_conjecture,
    ( equalish(X1,e_2)
    | ~ product(e_2,X1,e_2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1154]) ).

cnf(c_0_1158,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1019,c_0_1156]),c_0_139]) ).

cnf(c_0_1159,negated_conjecture,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1158]),c_0_78]) ).

cnf(c_0_1160,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_5)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1159]) ).

cnf(c_0_1161,negated_conjecture,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_1038,c_0_1159]) ).

cnf(c_0_1162,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_1,e_6) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1160,c_0_1161]),c_0_78]) ).

cnf(c_0_1163,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_2,e_1,e_6)
    | product(X1,e_1,e_5)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1162]) ).

cnf(c_0_1164,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5) ),
    inference(spm,[status(thm)],[c_0_1163,c_0_1159]) ).

cnf(c_0_1165,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(X1,e_1,e_4)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1164]) ).

cnf(c_0_1166,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4) ),
    inference(spm,[status(thm)],[c_0_1165,c_0_1159]) ).

cnf(c_0_1167,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(X1,e_1,e_3)
    | ~ product(X1,e_4,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1166]) ).

cnf(c_0_1168,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(X1,e_2,e_1)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1159]) ).

cnf(c_0_1169,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_4,e_2)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_1167,c_0_1159]) ).

cnf(c_0_1170,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(spm,[status(thm)],[c_0_1168,c_0_1169]) ).

cnf(c_0_1171,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_4,e_5) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1076,c_0_1159]),c_0_357]) ).

cnf(c_0_1172,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(X1,e_1,e_1)
    | ~ product(X1,e_2,e_1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1170]) ).

cnf(c_0_1173,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_1171]) ).

cnf(c_0_1174,negated_conjecture,
    ( product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_2,e_5,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5) ),
    inference(spm,[status(thm)],[c_0_939,c_0_1171]) ).

cnf(c_0_1175,negated_conjecture,
    ( equalish(X1,e_2)
    | product(e_2,e_4,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | ~ product(e_1,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1170]) ).

cnf(c_0_1176,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_1,e_1,e_1) ),
    inference(spm,[status(thm)],[c_0_1172,c_0_1170]) ).

cnf(c_0_1177,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_2,e_5,e_1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1173,c_0_1174]),c_0_174]) ).

cnf(c_0_1178,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_1,e_6)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1175,c_0_1176]),c_0_78]) ).

cnf(c_0_1179,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_2,e_5,e_1)
    | product(X1,e_5,e_4)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1177]) ).

cnf(c_0_1180,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | ~ greater(e_6,X1)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_1178]) ).

cnf(c_0_1181,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4) ),
    inference(spm,[status(thm)],[c_0_1179,c_0_1171]) ).

cnf(c_0_1182,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1180,c_0_64]),c_0_65])]) ).

cnf(c_0_1183,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_5,e_6,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(X1,e_5,e_3)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1181]) ).

cnf(c_0_1184,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | ~ greater(e_5,X1)
    | ~ next(e_2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_1182]) ).

cnf(c_0_1185,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_5,e_6,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3) ),
    inference(spm,[status(thm)],[c_0_1183,c_0_1171]) ).

cnf(c_0_1186,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1184,c_0_117]),c_0_65])]) ).

cnf(c_0_1187,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(X1,e_5,e_2)
    | ~ product(X1,e_6,e_5) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1185]) ).

cnf(c_0_1188,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_1,e_3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1186]),c_0_83]) ).

cnf(c_0_1189,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(spm,[status(thm)],[c_0_1187,c_0_1171]) ).

cnf(c_0_1190,negated_conjecture,
    ( equalish(X1,e_1)
    | product(e_2,e_4,e_5)
    | ~ product(e_2,X1,e_3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1188]) ).

cnf(c_0_1191,negated_conjecture,
    ( product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_4,e_5)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1189]),c_0_172]) ).

cnf(c_0_1192,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1190,c_0_1191]),c_0_161]) ).

cnf(c_0_1193,negated_conjecture,
    ( equalish(X1,e_4)
    | product(e_2,e_4,e_5)
    | ~ product(e_2,X1,e_1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1159]) ).

cnf(c_0_1194,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_5,e_1)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1192]),c_0_178]) ).

cnf(c_0_1195,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_5,e_4)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1193,c_0_1194]),c_0_163]) ).

cnf(c_0_1196,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1195]),c_0_167]) ).

cnf(c_0_1197,negated_conjecture,
    ( product(e_2,e_4,e_5)
    | product(e_2,e_5,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1190,c_0_1196]),c_0_139]) ).

cnf(c_0_1198,negated_conjecture,
    product(e_2,e_4,e_5),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1197]),c_0_174]) ).

cnf(c_0_1199,negated_conjecture,
    ( product(X1,e_2,e_5)
    | ~ product(X1,e_4,e_2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_1198]) ).

cnf(c_0_1200,negated_conjecture,
    ( product(e_3,e_4,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1135,c_0_1198]),c_0_442]) ).

cnf(c_0_1201,negated_conjecture,
    ( product(e_3,e_2,e_5)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2) ),
    inference(spm,[status(thm)],[c_0_1199,c_0_1200]) ).

cnf(c_0_1202,negated_conjecture,
    ( equalish(X1,e_4)
    | ~ product(e_2,X1,e_5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_1198]) ).

cnf(c_0_1203,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1139,c_0_1201]),c_0_139]) ).

cnf(c_0_1204,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1202,c_0_1203]),c_0_169]) ).

cnf(c_0_1205,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1204]),c_0_172]) ).

cnf(c_0_1206,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1019,c_0_1205]),c_0_161]) ).

cnf(c_0_1207,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1206]),c_0_178]) ).

cnf(c_0_1208,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1202,c_0_1207]),c_0_98]) ).

cnf(c_0_1209,negated_conjecture,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_3,e_2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_1208]),c_0_83]) ).

cnf(c_0_1210,negated_conjecture,
    product(e_2,e_3,e_2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1209]),c_0_78]) ).

cnf(c_0_1211,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1210]),c_0_136]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP128-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n003.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 29 00:26:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.55  start to proof: theBenchmark
% 35.47/35.56  % Version  : CSE_E---1.5
% 35.47/35.56  % Problem  : theBenchmark.p
% 35.47/35.56  % Proof found
% 35.47/35.56  % SZS status Theorem for theBenchmark.p
% 35.47/35.56  % SZS output start Proof
% See solution above
% 35.57/35.60  % Total time : 34.997000 s
% 35.57/35.60  % SZS output end Proof
% 35.57/35.60  % Total time : 35.004000 s
%------------------------------------------------------------------------------