TSTP Solution File: GRP125-3.005 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP125-3.005 : 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 : n002.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 00:16:16 EDT 2023
% Result : Unsatisfiable 38.29s 38.50s
% Output : CNFRefutation 38.33s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e_0: $i ).
tff(decl_23,type,
e_1: $i ).
tff(decl_24,type,
next: ( $i * $i ) > $o ).
tff(decl_25,type,
e_2: $i ).
tff(decl_26,type,
e_3: $i ).
tff(decl_27,type,
e_4: $i ).
tff(decl_28,type,
e_5: $i ).
tff(decl_29,type,
greater: ( $i * $i ) > $o ).
tff(decl_30,type,
cycle: ( $i * $i ) > $o ).
tff(decl_31,type,
equalish: ( $i * $i ) > $o ).
tff(decl_32,type,
group_element: $i > $o ).
tff(decl_33,type,
product: ( $i * $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)
| ~ 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(cycle6,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle6) ).
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(cycle2,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| cycle(X1,e_4)
| ~ group_element(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle2) ).
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(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).
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(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_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(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(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(cycle5,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle5) ).
cnf(qg3,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
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(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_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(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(cycle4,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle4) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_0) ).
cnf(cycle3,axiom,
cycle(e_5,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle3) ).
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(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_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(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_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_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_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_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_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_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_0_then_e_1) ).
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_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
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_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_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_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_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_0) ).
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_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_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
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_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(cycle7,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle7) ).
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_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_greater_e_0) ).
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_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(c_0_51,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1 ).
cnf(c_0_52,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_53,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)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_55,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
cycle6 ).
cnf(c_0_56,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(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,axiom,
greater(e_5,e_2),
e_5_greater_e_2 ).
cnf(c_0_58,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| cycle(X1,e_4)
| ~ group_element(X1) ),
cycle2 ).
cnf(c_0_59,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)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_60,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_54]) ).
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)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,axiom,
greater(e_4,e_2),
e_4_greater_e_2 ).
cnf(c_0_63,axiom,
group_element(e_5),
element_5 ).
cnf(c_0_64,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_61]),c_0_62])]) ).
cnf(c_0_65,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_66,axiom,
product(X1,X1,X1),
product_idempotence ).
cnf(c_0_67,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)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_63]) ).
cnf(c_0_68,axiom,
group_element(e_4),
element_4 ).
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)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_60]) ).
cnf(c_0_70,axiom,
greater(e_3,e_2),
e_3_greater_e_2 ).
cnf(c_0_71,plain,
( equalish(X1,X2)
| ~ product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,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) ),
inference(spm,[status(thm)],[c_0_67,c_0_52]) ).
cnf(c_0_73,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5 ).
cnf(c_0_74,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_75,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
cycle5 ).
cnf(c_0_76,plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_68]) ).
cnf(c_0_77,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_69]),c_0_70])]) ).
cnf(c_0_78,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
qg3 ).
cnf(c_0_79,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_80,plain,
( equalish(X1,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_66]) ).
cnf(c_0_81,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) ),
inference(spm,[status(thm)],[c_0_53,c_0_63]) ).
cnf(c_0_82,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_4,X3)
| ~ greater(X4,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_60]) ).
cnf(c_0_84,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2 ).
cnf(c_0_85,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(X1,e_4,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_73]) ).
cnf(c_0_87,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_62]) ).
cnf(c_0_88,axiom,
next(e_4,e_5),
e_4_then_e_5 ).
cnf(c_0_89,plain,
( product(e_2,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_83]),c_0_84]) ).
cnf(c_0_90,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_91,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_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| ~ cycle(e_2,X1)
| ~ cycle(e_5,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_89]),c_0_90]) ).
cnf(c_0_94,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_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(X1,e_3,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_91]) ).
cnf(c_0_95,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_96,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
cycle4 ).
cnf(c_0_97,axiom,
greater(e_4,e_0),
e_4_greater_e_0 ).
cnf(c_0_98,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_5,X1)
| ~ greater(e_4,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,axiom,
cycle(e_5,e_0),
cycle3 ).
cnf(c_0_100,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_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_94,c_0_79]) ).
cnf(c_0_101,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) ),
inference(spm,[status(thm)],[c_0_67,c_0_95]) ).
cnf(c_0_102,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5 ).
cnf(c_0_103,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)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_95]) ).
cnf(c_0_104,plain,
( equalish(e_4,X1)
| ~ cycle(X2,e_4)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_105,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_97]),c_0_99])]) ).
cnf(c_0_106,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)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_68]) ).
cnf(c_0_107,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_108,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_2,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_100]) ).
cnf(c_0_109,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1 ).
cnf(c_0_110,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_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_85,c_0_91]) ).
cnf(c_0_111,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_101]),c_0_102]) ).
cnf(c_0_112,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_103,c_0_63]) ).
cnf(c_0_113,plain,
( product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| product(X1,e_2,e_5)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_54]) ).
cnf(c_0_114,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_115,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5 ).
cnf(c_0_116,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) ),
inference(spm,[status(thm)],[c_0_67,c_0_54]) ).
cnf(c_0_117,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5 ).
cnf(c_0_118,plain,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_119,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) ),
inference(spm,[status(thm)],[c_0_106,c_0_63]) ).
cnf(c_0_120,plain,
( equalish(X1,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_66]) ).
cnf(c_0_121,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_2,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_108]),c_0_109]) ).
cnf(c_0_122,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4 ).
cnf(c_0_123,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_2,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_110]) ).
cnf(c_0_124,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_111]) ).
cnf(c_0_125,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3 ).
cnf(c_0_126,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_112]),c_0_102]) ).
cnf(c_0_127,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_113,c_0_63]) ).
cnf(c_0_128,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_114]),c_0_115]) ).
cnf(c_0_129,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_116]),c_0_117]) ).
cnf(c_0_130,plain,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_88]) ).
cnf(c_0_131,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_119]),c_0_115]) ).
cnf(c_0_132,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_2,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_133,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_2,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_4,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_123]),c_0_109]) ).
cnf(c_0_134,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_79]),c_0_125]) ).
cnf(c_0_135,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3 ).
cnf(c_0_136,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_126]) ).
cnf(c_0_137,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_127]),c_0_117]) ).
cnf(c_0_138,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3 ).
cnf(c_0_139,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_128]),c_0_122]) ).
cnf(c_0_140,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_129]) ).
cnf(c_0_141,axiom,
greater(e_3,e_0),
e_3_greater_e_0 ).
cnf(c_0_142,plain,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_99]) ).
cnf(c_0_143,axiom,
next(e_0,e_1),
e_0_then_e_1 ).
cnf(c_0_144,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1 ).
cnf(c_0_145,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_131]),c_0_122]) ).
cnf(c_0_146,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_2,e_4,e_5)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_132]) ).
cnf(c_0_147,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_2,e_4,e_5)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_133]),c_0_122]) ).
cnf(c_0_148,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_134]),c_0_135]) ).
cnf(c_0_149,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_150,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_139]) ).
cnf(c_0_151,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_79]),c_0_84]) ).
cnf(c_0_152,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4 ).
cnf(c_0_153,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_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(e_4,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_100]) ).
cnf(c_0_154,plain,
( equalish(e_3,X1)
| ~ cycle(X2,e_3)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_141]) ).
cnf(c_0_155,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_156,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_145]) ).
cnf(c_0_157,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_2,e_4,e_5)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_158,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4 ).
cnf(c_0_159,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(X1,e_2,e_5)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_148]) ).
cnf(c_0_160,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_149]),c_0_135]) ).
cnf(c_0_161,plain,
( product(e_3,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_148]) ).
cnf(c_0_162,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).
cnf(c_0_163,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3 ).
cnf(c_0_164,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_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_153,c_0_79]) ).
cnf(c_0_165,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(X1,e_4,e_2)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_137]) ).
cnf(c_0_166,plain,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_93]) ).
cnf(c_0_167,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_168,plain,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_169,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).
cnf(c_0_170,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_2,e_4,e_5)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_132]) ).
cnf(c_0_171,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_172,plain,
( product(e_3,e_5,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_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_173,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_4,e_4,e_5)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_164]),c_0_109]) ).
cnf(c_0_174,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_2,e_4,e_5)
| equalish(X1,e_1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_157]) ).
cnf(c_0_175,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_165,c_0_151]) ).
cnf(c_0_176,plain,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_177,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_95]) ).
cnf(c_0_178,plain,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_88]) ).
cnf(c_0_179,negated_conjecture,
( product(e_5,e_4,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_2,e_4,e_5)
| product(X1,e_2,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_169]) ).
cnf(c_0_180,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_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_122]) ).
cnf(c_0_181,plain,
( product(e_3,e_5,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| equalish(X1,e_5)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_172]) ).
cnf(c_0_182,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_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_173]),c_0_122]) ).
cnf(c_0_183,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_2,e_4,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_90]) ).
cnf(c_0_184,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2 ).
cnf(c_0_185,plain,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_186,axiom,
greater(e_2,e_0),
e_2_greater_e_0 ).
cnf(c_0_187,plain,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_99]) ).
cnf(c_0_188,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1 ).
cnf(c_0_189,negated_conjecture,
( product(e_5,e_4,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_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_139]) ).
cnf(c_0_190,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_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_180]),c_0_90]) ).
cnf(c_0_191,negated_conjecture,
( product(e_3,e_5,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_102]) ).
cnf(c_0_192,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_2,e_4,e_5)
| product(e_5,e_2,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_183]),c_0_184]) ).
cnf(c_0_193,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(X1,e_2,e_5)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_162]) ).
cnf(c_0_194,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_143]),c_0_144]) ).
cnf(c_0_195,plain,
( equalish(e_2,X1)
| ~ cycle(X2,e_2)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_186]) ).
cnf(c_0_196,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_143]),c_0_188]) ).
cnf(c_0_197,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_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| equalish(X1,e_4)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_189]) ).
cnf(c_0_198,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_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_190]),c_0_184]) ).
cnf(c_0_199,negated_conjecture,
( product(e_3,e_5,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_2,e_5,e_1)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_191]),c_0_117]) ).
cnf(c_0_200,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_2,e_4,e_5)
| product(e_3,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| equalish(X1,e_2)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_192]) ).
cnf(c_0_201,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_5)
| product(e_5,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_193,c_0_169]) ).
cnf(c_0_202,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2 ).
cnf(c_0_203,plain,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_194]) ).
cnf(c_0_204,plain,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_205,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_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_152]) ).
cnf(c_0_206,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_199]) ).
cnf(c_0_207,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_2,e_4,e_5)
| product(e_3,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).
cnf(c_0_208,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_88]),c_0_115]) ).
cnf(c_0_209,plain,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_88]) ).
cnf(c_0_210,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(spm,[status(thm)],[c_0_53,c_0_95]) ).
cnf(c_0_211,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_2,e_4,e_5)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_132]) ).
cnf(c_0_212,negated_conjecture,
( product(e_3,e_5,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_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_205]),c_0_163]) ).
cnf(c_0_213,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_2,e_4,e_5)
| equalish(X1,e_5)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_147]) ).
cnf(c_0_214,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_2)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_163]) ).
cnf(c_0_215,plain,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ cycle(X2,X3)
| ~ next(e_3,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_208]) ).
cnf(c_0_216,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_217,plain,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_99]) ).
cnf(c_0_218,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)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_210]) ).
cnf(c_0_219,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_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_135]) ).
cnf(c_0_220,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_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_117]) ).
cnf(c_0_221,plain,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_222,plain,
( cycle(e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_143]),c_0_90]) ).
cnf(c_0_223,negated_conjecture,
( 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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_147]),c_0_144]) ).
cnf(c_0_224,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_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_5)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_219]) ).
cnf(c_0_225,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_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_220]),c_0_184]) ).
cnf(c_0_226,plain,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_227,axiom,
next(e_1,e_2),
e_1_then_e_2 ).
cnf(c_0_228,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2 ).
cnf(c_0_229,negated_conjecture,
( product(e_3,e_5,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_4,e_2,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_126]) ).
cnf(c_0_230,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_223]) ).
cnf(c_0_231,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_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_138]) ).
cnf(c_0_232,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]) ).
cnf(c_0_233,negated_conjecture,
( product(e_3,e_5,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_4,e_2,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_229]),c_0_135]) ).
cnf(c_0_234,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_90]) ).
cnf(c_0_235,plain,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_232]) ).
cnf(c_0_236,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_159,c_0_233]) ).
cnf(c_0_237,plain,
( product(e_3,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| equalish(X1,e_5)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_148]) ).
cnf(c_0_238,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_234]),c_0_125]) ).
cnf(c_0_239,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_167]),c_0_163]) ).
cnf(c_0_240,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| equalish(X1,e_5)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_236]) ).
cnf(c_0_241,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_2,e_4,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_225]) ).
cnf(c_0_242,negated_conjecture,
( product(e_3,e_5,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_3,e_1,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_73]) ).
cnf(c_0_243,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
cycle7 ).
cnf(c_0_244,plain,
( equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_239]) ).
cnf(c_0_245,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_182]),c_0_115]) ).
cnf(c_0_246,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_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_228]) ).
cnf(c_0_247,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_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_110]) ).
cnf(c_0_248,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)
| equalish(e_5,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_56]) ).
cnf(c_0_249,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_227]),c_0_202]) ).
cnf(c_0_250,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_1)
| product(X1,e_5,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_245]) ).
cnf(c_0_251,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_2,e_4,e_5)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_246]),c_0_188]) ).
cnf(c_0_252,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_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_5,e_1,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_247,c_0_79]) ).
cnf(c_0_253,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(X1,e_3,e_5)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_151]) ).
cnf(c_0_254,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)
| equalish(e_5,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_141])]) ).
cnf(c_0_255,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_256,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_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_252]),c_0_109]) ).
cnf(c_0_257,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_4,e_3,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_253,c_0_137]) ).
cnf(c_0_258,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(X1,e_1,e_5)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_199]) ).
cnf(c_0_259,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_5,X1)
| ~ greater(e_3,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_249]) ).
cnf(c_0_260,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)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_167]),c_0_135]) ).
cnf(c_0_261,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_139]) ).
cnf(c_0_262,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_255]),c_0_117]) ).
cnf(c_0_263,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_3,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_256]),c_0_122]) ).
cnf(c_0_264,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_253,c_0_257]) ).
cnf(c_0_265,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_258,c_0_126]) ).
cnf(c_0_266,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_141]),c_0_99])]) ).
cnf(c_0_267,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_260]) ).
cnf(c_0_268,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_261,c_0_145]) ).
cnf(c_0_269,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_262]) ).
cnf(c_0_270,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_3,e_4,e_5)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_263]) ).
cnf(c_0_271,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_264]),c_0_184]) ).
cnf(c_0_272,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_265]),c_0_135]) ).
cnf(c_0_273,plain,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_266]) ).
cnf(c_0_274,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_2,e_3)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_141]) ).
cnf(c_0_275,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_4,e_1)
| equalish(X1,e_4)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_268]) ).
cnf(c_0_276,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_269,c_0_251]) ).
cnf(c_0_277,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| product(X1,e_1,e_3)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_236]) ).
cnf(c_0_278,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_3,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_122]) ).
cnf(c_0_279,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_258,c_0_272]) ).
cnf(c_0_280,plain,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_273,c_0_88]) ).
cnf(c_0_281,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_274,c_0_249]) ).
cnf(c_0_282,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| equalish(X1,e_3)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_236]) ).
cnf(c_0_283,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_4,e_1)
| product(e_3,e_5,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_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_158]) ).
cnf(c_0_284,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_277,c_0_148]) ).
cnf(c_0_285,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_3,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_3,e_3,e_5)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_278]) ).
cnf(c_0_286,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_258,c_0_279]) ).
cnf(c_0_287,plain,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_280,c_0_99]) ).
cnf(c_0_288,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| equalish(X1,e_5)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_151]) ).
cnf(c_0_289,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_167]),c_0_163]) ).
cnf(c_0_290,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_163]) ).
cnf(c_0_291,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_2,e_1,e_3)
| product(X1,e_5,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_284]) ).
cnf(c_0_292,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_2,e_2,e_5)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_251]) ).
cnf(c_0_293,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_3,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_125]) ).
cnf(c_0_294,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_143]),c_0_144]) ).
cnf(c_0_295,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_73]) ).
cnf(c_0_296,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_262]) ).
cnf(c_0_297,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_290]),c_0_163]) ).
cnf(c_0_298,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_2,e_1,e_3)
| product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_291,c_0_251]) ).
cnf(c_0_299,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_2,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_228]) ).
cnf(c_0_300,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(X1,e_4,e_5)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_129]) ).
cnf(c_0_301,plain,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_294]) ).
cnf(c_0_302,plain,
( product(e_2,e_5,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_295]),c_0_184]) ).
cnf(c_0_303,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_262]) ).
cnf(c_0_304,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_184]) ).
cnf(c_0_305,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(X1,e_4,e_3)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_126]) ).
cnf(c_0_306,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_298]),c_0_117]) ).
cnf(c_0_307,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_2,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_299]),c_0_135]) ).
cnf(c_0_308,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_4,e_4,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_300,c_0_137]) ).
cnf(c_0_309,plain,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_301,c_0_88]) ).
cnf(c_0_310,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_302]) ).
cnf(c_0_311,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_109]) ).
cnf(c_0_312,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_305,c_0_148]) ).
cnf(c_0_313,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_2,e_2,e_5)
| product(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_306]) ).
cnf(c_0_314,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_2,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_307]),c_0_184]) ).
cnf(c_0_315,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_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_300,c_0_308]) ).
cnf(c_0_316,plain,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_309,c_0_99]) ).
cnf(c_0_317,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_5)
| product(e_3,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_228]) ).
cnf(c_0_318,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_5,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_261,c_0_268]) ).
cnf(c_0_319,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_312]),c_0_135]) ).
cnf(c_0_320,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_2,e_2,e_5)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_138]) ).
cnf(c_0_321,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_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_315]),c_0_184]) ).
cnf(c_0_322,plain,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_143]),c_0_188]) ).
cnf(c_0_323,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_317]),c_0_135]) ).
cnf(c_0_324,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| equalish(X1,e_4)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_318]) ).
cnf(c_0_325,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_5,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_319]) ).
cnf(c_0_326,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4 ).
cnf(c_0_327,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_2,e_2,e_5)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_251]) ).
cnf(c_0_328,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_2,e_1,e_3)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_320]),c_0_184]) ).
cnf(c_0_329,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_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(X1,e_1,e_2)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_321]) ).
cnf(c_0_330,plain,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_322]) ).
cnf(c_0_331,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_323]),c_0_184]) ).
cnf(c_0_332,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_5,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_2,e_2,e_5)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]) ).
cnf(c_0_333,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_2,e_2,e_5)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_158]) ).
cnf(c_0_334,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_3,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_329,c_0_129]) ).
cnf(c_0_335,plain,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_330,c_0_88]) ).
cnf(c_0_336,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_2,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_331]),c_0_84]) ).
cnf(c_0_337,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_3,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_253,c_0_175]) ).
cnf(c_0_338,negated_conjecture,
( product(e_3,e_5,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_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_332]),c_0_163]) ).
cnf(c_0_339,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_2,e_1,e_3)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_333]),c_0_184]) ).
cnf(c_0_340,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_3,e_4,e_5)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_334]),c_0_122]) ).
cnf(c_0_341,plain,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_335,c_0_99]) ).
cnf(c_0_342,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_336]),c_0_90]) ).
cnf(c_0_343,negated_conjecture,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_86]) ).
cnf(c_0_344,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(X1,e_4,e_5)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_111]) ).
cnf(c_0_345,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_3,e_5)
| product(e_5,e_2,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_337]),c_0_184]) ).
cnf(c_0_346,negated_conjecture,
( product(e_3,e_5,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_2,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_338]),c_0_184]) ).
cnf(c_0_347,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| 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_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_339]),c_0_73]) ).
cnf(c_0_348,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_3,e_4,e_5)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_340]) ).
cnf(c_0_349,plain,
( cycle(e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_143]),c_0_90]) ).
cnf(c_0_350,axiom,
greater(e_1,e_0),
e_1_greater_e_0 ).
cnf(c_0_351,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(X1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_342]) ).
cnf(c_0_352,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_3,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_343,c_0_342]) ).
cnf(c_0_353,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_4,e_4,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_344,c_0_126]) ).
cnf(c_0_354,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_261,c_0_189]) ).
cnf(c_0_355,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| 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_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_253,c_0_345]) ).
cnf(c_0_356,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_2,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_346]) ).
cnf(c_0_357,negated_conjecture,
( product(e_2,e_5,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_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_347]),c_0_184]) ).
cnf(c_0_358,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_3,e_4,e_5)
| equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_350])]) ).
cnf(c_0_359,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_360,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_4,e_4,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_353]),c_0_135]) ).
cnf(c_0_361,negated_conjecture,
( product(e_3,e_5,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_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_354]),c_0_163]) ).
cnf(c_0_362,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_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_355]),c_0_117]) ).
cnf(c_0_363,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_2,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_4,e_3)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_138]) ).
cnf(c_0_364,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_3,e_4,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_88]),c_0_117]) ).
cnf(c_0_365,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_3,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_351,c_0_359]) ).
cnf(c_0_366,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_2,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_344,c_0_360]) ).
cnf(c_0_367,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_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_361]),c_0_135]) ).
cnf(c_0_368,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_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_362]),c_0_135]) ).
cnf(c_0_369,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_1,e_5)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_339]) ).
cnf(c_0_370,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_2,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_4,e_3)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_363]),c_0_135]) ).
cnf(c_0_371,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_364]) ).
cnf(c_0_372,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_365]),c_0_109]) ).
cnf(c_0_373,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_351,c_0_86]) ).
cnf(c_0_374,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_2,e_4,e_5)
| product(e_4,e_4,e_5)
| product(X1,e_1,e_3)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_366]) ).
cnf(c_0_375,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_2,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_367]) ).
cnf(c_0_376,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_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_368]),c_0_184]) ).
cnf(c_0_377,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_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_144]) ).
cnf(c_0_378,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_73]) ).
cnf(c_0_379,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_351,c_0_373]) ).
cnf(c_0_380,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_2,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_374,c_0_111]) ).
cnf(c_0_381,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_2,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_138]) ).
cnf(c_0_382,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_2,e_2,e_5)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_377]),c_0_326]) ).
cnf(c_0_383,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_342]),c_0_158]) ).
cnf(c_0_384,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_342]) ).
cnf(c_0_385,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_378]),c_0_135]) ).
cnf(c_0_386,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_351,c_0_379]) ).
cnf(c_0_387,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_2,e_4,e_5)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_380]),c_0_122]) ).
cnf(c_0_388,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_2,e_4,e_5)
| product(e_1,e_3,e_5)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_381]) ).
cnf(c_0_389,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_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_382]),c_0_184]) ).
cnf(c_0_390,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(X1,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_383]) ).
cnf(c_0_391,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_90]) ).
cnf(c_0_392,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(X1,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_372]) ).
cnf(c_0_393,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_386]),c_0_109]) ).
cnf(c_0_394,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_2,e_4,e_5)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_387]) ).
cnf(c_0_395,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) ),
inference(spm,[status(thm)],[c_0_106,c_0_52]) ).
cnf(c_0_396,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_2,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_223]),c_0_84]) ).
cnf(c_0_397,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(X1,e_3,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_389]) ).
cnf(c_0_398,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_5)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_390,c_0_145]) ).
cnf(c_0_399,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_391]),c_0_184]) ).
cnf(c_0_400,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_137]) ).
cnf(c_0_401,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_402,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_2,e_4,e_5)
| equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_349]),c_0_350])]) ).
cnf(c_0_403,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(X1,e_5,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_395]) ).
cnf(c_0_404,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(spm,[status(thm)],[c_0_53,c_0_68]) ).
cnf(c_0_405,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_2,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_396]),c_0_125]) ).
cnf(c_0_406,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_397,c_0_86]) ).
cnf(c_0_407,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_372]) ).
cnf(c_0_408,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_5,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_390,c_0_398]) ).
cnf(c_0_409,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(X1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_399]) ).
cnf(c_0_410,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_84]) ).
cnf(c_0_411,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_2,e_4,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_88]),c_0_102]) ).
cnf(c_0_412,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_5,e_5,e_4)
| 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) ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_413,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_2,e_4,e_5)
| product(e_1,e_3,e_5)
| equalish(X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_376]) ).
cnf(c_0_414,negated_conjecture,
( product(e_3,e_5,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_2,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_405]),c_0_73]) ).
cnf(c_0_415,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_397,c_0_406]) ).
cnf(c_0_416,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_399]) ).
cnf(c_0_417,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_135]) ).
cnf(c_0_418,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_3,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_419,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_411]),c_0_135]) ).
cnf(c_0_420,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_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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_412]),c_0_115]) ).
cnf(c_0_421,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_113,c_0_68]) ).
cnf(c_0_422,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_2,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_228]) ).
cnf(c_0_423,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_415]) ).
cnf(c_0_424,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_202]) ).
cnf(c_0_425,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_5)
| product(e_5,e_2,e_1)
| product(e_3,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_418]),c_0_184]) ).
cnf(c_0_426,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_305,c_0_419]) ).
cnf(c_0_427,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_3,e_4,e_1)
| product(X1,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_359]) ).
cnf(c_0_428,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_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_420]),c_0_158]) ).
cnf(c_0_429,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(X1,e_5,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_421]) ).
cnf(c_0_430,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_2,e_4,e_5)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_422]),c_0_188]) ).
cnf(c_0_431,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_423,c_0_389]) ).
cnf(c_0_432,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_424]),c_0_135]) ).
cnf(c_0_433,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_1,e_5)
| product(e_3,e_1,e_5)
| product(e_3,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_409,c_0_425]) ).
cnf(c_0_434,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(X1,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_419]) ).
cnf(c_0_435,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_426]),c_0_135]) ).
cnf(c_0_436,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_4,e_4,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_308]) ).
cnf(c_0_437,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_342]) ).
cnf(c_0_438,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_3,e_5,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_403,c_0_428]) ).
cnf(c_0_439,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_5,e_5,e_2)
| 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_3,e_5) ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_440,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_431]),c_0_109]) ).
cnf(c_0_441,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_432]) ).
cnf(c_0_442,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_1,e_5)
| product(e_3,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_433]),c_0_135]) ).
cnf(c_0_443,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_5,e_3,e_1)
| product(e_2,e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_434,c_0_435]) ).
cnf(c_0_444,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_4,e_4,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_436,c_0_129]) ).
cnf(c_0_445,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_437]),c_0_109]) ).
cnf(c_0_446,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_2,e_5,e_4)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_403,c_0_438]) ).
cnf(c_0_447,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| 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_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_439]),c_0_117]) ).
cnf(c_0_448,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_440]) ).
cnf(c_0_449,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_442]),c_0_84]) ).
cnf(c_0_450,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3)
| product(X1,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_443]) ).
cnf(c_0_451,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_4,e_4,e_5)
| product(e_5,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_444]),c_0_184]) ).
cnf(c_0_452,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_445]),c_0_73]) ).
cnf(c_0_453,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_2,e_5,e_4)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_446]),c_0_144]) ).
cnf(c_0_454,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_419]) ).
cnf(c_0_455,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_3,e_5)
| product(X1,e_5,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_430]) ).
cnf(c_0_456,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| 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_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_447]),c_0_152]) ).
cnf(c_0_457,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_389]),c_0_158]) ).
cnf(c_0_458,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_145]) ).
cnf(c_0_459,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_152]) ).
cnf(c_0_460,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_450,c_0_419]) ).
cnf(c_0_461,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_4,e_4,e_5)
| product(e_4,e_3,e_2)
| equalish(X1,e_5)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_451]) ).
cnf(c_0_462,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_452]),c_0_135]) ).
cnf(c_0_463,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_2,e_5,e_4)
| equalish(X1,e_4)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_453]) ).
cnf(c_0_464,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| 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_2,e_5,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_453]),c_0_202]) ).
cnf(c_0_465,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_3,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
cnf(c_0_466,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(X1,e_2,e_5)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_457]) ).
cnf(c_0_467,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_458,c_0_457]) ).
cnf(c_0_468,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_459]),c_0_135]) ).
cnf(c_0_469,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_460]) ).
cnf(c_0_470,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_4,e_4,e_5)
| product(e_4,e_3,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_462]),c_0_102]) ).
cnf(c_0_471,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_2,e_5,e_4)
| product(e_2,e_4,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_158]) ).
cnf(c_0_472,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)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_395]) ).
cnf(c_0_473,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_3,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_465]),c_0_202]) ).
cnf(c_0_474,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_5,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_466,c_0_467]) ).
cnf(c_0_475,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(X1,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_468]) ).
cnf(c_0_476,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_449]) ).
cnf(c_0_477,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_468]),c_0_117]) ).
cnf(c_0_478,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_4,e_3,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_470]),c_0_122]) ).
cnf(c_0_479,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_2,e_4,e_5)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_471]) ).
cnf(c_0_480,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_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_364]),c_0_188]) ).
cnf(c_0_481,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_3,e_5)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_473]) ).
cnf(c_0_482,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_474]) ).
cnf(c_0_483,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_5,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_475,c_0_449]) ).
cnf(c_0_484,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| equalish(X1,e_5)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_145]) ).
cnf(c_0_485,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_477]),c_0_163]) ).
cnf(c_0_486,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_383]) ).
cnf(c_0_487,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(X1,e_2,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_478]) ).
cnf(c_0_488,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_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_480]),c_0_326]) ).
cnf(c_0_489,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_3,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_481,c_0_430]) ).
cnf(c_0_490,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_482,c_0_457]) ).
cnf(c_0_491,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_483]) ).
cnf(c_0_492,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_117]) ).
cnf(c_0_493,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_478]),c_0_102]) ).
cnf(c_0_494,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_5,e_2,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_487,c_0_364]) ).
cnf(c_0_495,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_2,e_4,e_5)
| product(e_2,e_5,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_488]),c_0_184]) ).
cnf(c_0_496,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_4,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_3,e_5)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_489]),c_0_158]) ).
cnf(c_0_497,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_490]) ).
cnf(c_0_498,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_5,e_4,e_1)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_492]),c_0_144]) ).
cnf(c_0_499,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(X1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_493]) ).
cnf(c_0_500,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_494]),c_0_152]) ).
cnf(c_0_501,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_2,e_4,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_495]),c_0_158]) ).
cnf(c_0_502,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_261,c_0_496]) ).
cnf(c_0_503,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_449]) ).
cnf(c_0_504,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_497,c_0_498]) ).
cnf(c_0_505,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,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_1,e_5)
| product(e_5,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_499,c_0_500]) ).
cnf(c_0_506,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)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_501]),c_0_90]) ).
cnf(c_0_507,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_3,e_5)
| product(e_3,e_5,e_4)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_473]) ).
cnf(c_0_508,negated_conjecture,
( product(e_3,e_5,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_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_502]),c_0_163]) ).
cnf(c_0_509,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_115]) ).
cnf(c_0_510,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_419]) ).
cnf(c_0_511,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| equalish(X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_389]) ).
cnf(c_0_512,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,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_1,e_1,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_499,c_0_505]) ).
cnf(c_0_513,negated_conjecture,
( 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(X1,e_5,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_404]) ).
cnf(c_0_514,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_506]),c_0_158]) ).
cnf(c_0_515,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_79]) ).
cnf(c_0_516,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_3,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_508]),c_0_184]) ).
cnf(c_0_517,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_509]),c_0_184]) ).
cnf(c_0_518,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_383]),c_0_163]) ).
cnf(c_0_519,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_512]),c_0_90]) ).
cnf(c_0_520,negated_conjecture,
( 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_3,e_5,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_521,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_3,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_188]) ).
cnf(c_0_522,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_517]) ).
cnf(c_0_523,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_518]) ).
cnf(c_0_524,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_519]),c_0_184]) ).
cnf(c_0_525,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_514]) ).
cnf(c_0_526,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_520]),c_0_158]) ).
cnf(c_0_527,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_514]),c_0_73]) ).
cnf(c_0_528,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_521]),c_0_228]) ).
cnf(c_0_529,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_2,e_3)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_522,c_0_141]) ).
cnf(c_0_530,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_468]) ).
cnf(c_0_531,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_152]) ).
cnf(c_0_532,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_5,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_525,c_0_526]) ).
cnf(c_0_533,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_2,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_527]) ).
cnf(c_0_534,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_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_528]),c_0_135]) ).
cnf(c_0_535,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_529,c_0_249]) ).
cnf(c_0_536,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_531]),c_0_184]) ).
cnf(c_0_537,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_532]) ).
cnf(c_0_538,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_533,c_0_139]) ).
cnf(c_0_539,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_2,e_1,e_1)
| product(e_1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_534]),c_0_84]) ).
cnf(c_0_540,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_167]),c_0_163]) ).
cnf(c_0_541,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_536]),c_0_163]) ).
cnf(c_0_542,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_514]) ).
cnf(c_0_543,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_537,c_0_514]) ).
cnf(c_0_544,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_261,c_0_538]) ).
cnf(c_0_545,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_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_539]),c_0_90]) ).
cnf(c_0_546,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_540]) ).
cnf(c_0_547,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_541]),c_0_184]) ).
cnf(c_0_548,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_342]),c_0_122]) ).
cnf(c_0_549,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_2,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_543]),c_0_144]) ).
cnf(c_0_550,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_544]) ).
cnf(c_0_551,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_545]),c_0_122]) ).
cnf(c_0_552,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_4,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_268]) ).
cnf(c_0_553,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_547]),c_0_135]) ).
cnf(c_0_554,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_261,c_0_527]) ).
cnf(c_0_555,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(X1,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_548]) ).
cnf(c_0_556,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_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_343,c_0_548]) ).
cnf(c_0_557,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_549]) ).
cnf(c_0_558,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_551]),c_0_158]) ).
cnf(c_0_559,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_552,c_0_139]) ).
cnf(c_0_560,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(X1,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_553]) ).
cnf(c_0_561,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_553]),c_0_125]) ).
cnf(c_0_562,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_261,c_0_554]) ).
cnf(c_0_563,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_2,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_555,c_0_556]) ).
cnf(c_0_564,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_558]),c_0_163]) ).
cnf(c_0_565,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_261,c_0_559]) ).
cnf(c_0_566,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_2,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_560,c_0_86]) ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(X1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_561]) ).
cnf(c_0_568,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_551]),c_0_125]) ).
cnf(c_0_569,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_562]) ).
cnf(c_0_570,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_5,e_1,e_1)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_555,c_0_563]) ).
cnf(c_0_571,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_564]),c_0_163]) ).
cnf(c_0_572,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_565]) ).
cnf(c_0_573,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_560,c_0_566]) ).
cnf(c_0_574,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_567,c_0_126]) ).
cnf(c_0_575,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_568]) ).
cnf(c_0_576,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_551]),c_0_158]) ).
cnf(c_0_577,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_570]),c_0_109]) ).
cnf(c_0_578,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_5,e_1)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_571]) ).
cnf(c_0_579,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_561]) ).
cnf(c_0_580,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_553]),c_0_158]) ).
cnf(c_0_581,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_5,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_560,c_0_573]) ).
cnf(c_0_582,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_574]),c_0_135]) ).
cnf(c_0_583,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_576]),c_0_163]) ).
cnf(c_0_584,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_1)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_577]) ).
cnf(c_0_585,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_577]),c_0_122]) ).
cnf(c_0_586,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_163]) ).
cnf(c_0_587,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_581]),c_0_109]) ).
cnf(c_0_588,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_567,c_0_582]) ).
cnf(c_0_589,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_583]) ).
cnf(c_0_590,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_585]),c_0_73]) ).
cnf(c_0_591,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_586]),c_0_135]) ).
cnf(c_0_592,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_587]) ).
cnf(c_0_593,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_567,c_0_588]) ).
cnf(c_0_594,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_73]) ).
cnf(c_0_595,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_591]) ).
cnf(c_0_596,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_592,c_0_593]),c_0_84]) ).
cnf(c_0_597,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_594]) ).
cnf(c_0_598,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_122]) ).
cnf(c_0_599,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_598]),c_0_163]) ).
cnf(c_0_600,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(X1,e_1,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_318]) ).
cnf(c_0_601,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_599]),c_0_184]) ).
cnf(c_0_602,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_600,c_0_139]) ).
cnf(c_0_603,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_601]),c_0_125]) ).
cnf(c_0_604,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_602]) ).
cnf(c_0_605,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_603]),c_0_184]) ).
cnf(c_0_606,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_553]),c_0_158]) ).
cnf(c_0_607,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_553]) ).
cnf(c_0_608,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_605]),c_0_109]) ).
cnf(c_0_609,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_606]),c_0_163]) ).
cnf(c_0_610,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_608]),c_0_115]) ).
cnf(c_0_611,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_289]) ).
cnf(c_0_612,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_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_343,c_0_553]) ).
cnf(c_0_613,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_609]),c_0_135]) ).
cnf(c_0_614,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_610]),c_0_109]) ).
cnf(c_0_615,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_612]),c_0_184]) ).
cnf(c_0_616,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_5)
| product(X1,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_613]) ).
cnf(c_0_617,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_614]),c_0_144]) ).
cnf(c_0_618,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_560,c_0_615]) ).
cnf(c_0_619,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_620,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_618]),c_0_109]) ).
cnf(c_0_621,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_5)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_619]) ).
cnf(c_0_622,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_620]) ).
cnf(c_0_623,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_620]),c_0_117]) ).
cnf(c_0_624,negated_conjecture,
( product(e_1,e_1,e_5)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_617]) ).
cnf(c_0_625,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_109]) ).
cnf(c_0_626,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_625]),c_0_90]) ).
cnf(c_0_627,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_1,e_5,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_626]),c_0_184]) ).
cnf(c_0_628,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_1,e_5,e_1)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_627]),c_0_84]) ).
cnf(c_0_629,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_1,e_5,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_628]),c_0_90]) ).
cnf(c_0_630,negated_conjecture,
( product(e_1,e_1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_629]),c_0_109]) ).
cnf(c_0_631,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_630]),c_0_109]) ).
cnf(c_0_632,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_631]) ).
cnf(c_0_633,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_632,c_0_167]) ).
cnf(c_0_634,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_633,c_0_177]) ).
cnf(c_0_635,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_143]),c_0_90]) ).
cnf(c_0_636,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_633,c_0_635]) ).
cnf(c_0_637,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_88]),c_0_117]) ).
cnf(c_0_638,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_633,c_0_637]) ).
cnf(c_0_639,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_216]),c_0_152]) ).
cnf(c_0_640,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_633,c_0_639]) ).
cnf(c_0_641,plain,
( equalish(e_1,X1)
| ~ cycle(X2,e_1)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_350]) ).
cnf(c_0_642,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_167]),c_0_138]) ).
cnf(c_0_643,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(X2,X3)
| ~ next(e_3,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_641,c_0_642]) ).
cnf(c_0_644,negated_conjecture,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| cycle(e_2,e_1)
| ~ cycle(e_5,X1)
| ~ greater(e_2,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_631]) ).
cnf(c_0_645,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_643,c_0_216]) ).
cnf(c_0_646,negated_conjecture,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| cycle(e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_186]),c_0_99])]) ).
cnf(c_0_647,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_648,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_88]),c_0_73]) ).
cnf(c_0_649,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_645,c_0_648]) ).
cnf(c_0_650,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_4,e_1)
| cycle(e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_216]),c_0_158]) ).
cnf(c_0_651,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_4,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_645,c_0_650]) ).
cnf(c_0_652,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_167]),c_0_125]) ).
cnf(c_0_653,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_645,c_0_652]) ).
cnf(c_0_654,negated_conjecture,
cycle(e_2,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_227]),c_0_84]) ).
cnf(c_0_655,negated_conjecture,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4)
| ~ cycle(e_5,X1)
| ~ greater(e_1,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_654]) ).
cnf(c_0_656,negated_conjecture,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_350]),c_0_99])]) ).
cnf(c_0_657,negated_conjecture,
( 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)
| equalish(e_5,X1)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_654]),c_0_350])]) ).
cnf(c_0_658,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_656]) ).
cnf(c_0_659,negated_conjecture,
( 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_167]),c_0_135]) ).
cnf(c_0_660,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_658,c_0_88]) ).
cnf(c_0_661,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_659]) ).
cnf(c_0_662,negated_conjecture,
( equalish(e_4,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_660,c_0_99]) ).
cnf(c_0_663,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_654]),c_0_350])]) ).
cnf(c_0_664,negated_conjecture,
( cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_143]),c_0_144]) ).
cnf(c_0_665,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_167]),c_0_163]) ).
cnf(c_0_666,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_664]) ).
cnf(c_0_667,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_665]),c_0_73]) ).
cnf(c_0_668,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_666,c_0_88]) ).
cnf(c_0_669,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_2,e_2,e_5)
| product(e_3,e_3,e_5)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_311]) ).
cnf(c_0_670,negated_conjecture,
( product(e_2,e_5,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_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_667]),c_0_184]) ).
cnf(c_0_671,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_668,c_0_99]) ).
cnf(c_0_672,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_2,e_2,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_670]),c_0_138]) ).
cnf(c_0_673,negated_conjecture,
( cycle(e_4,e_1)
| cycle(e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_143]),c_0_188]) ).
cnf(c_0_674,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_2,e_2,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_672]),c_0_135]) ).
cnf(c_0_675,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| ~ cycle(X2,X3)
| ~ next(e_4,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_673]) ).
cnf(c_0_676,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_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_674]),c_0_184]) ).
cnf(c_0_677,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_675,c_0_88]) ).
cnf(c_0_678,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_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_676]),c_0_84]) ).
cnf(c_0_679,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_677,c_0_99]) ).
cnf(c_0_680,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_678]),c_0_90]) ).
cnf(c_0_681,negated_conjecture,
cycle(e_4,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_679,c_0_143]),c_0_90]) ).
cnf(c_0_682,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_680]) ).
cnf(c_0_683,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_3,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_343,c_0_680]) ).
cnf(c_0_684,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_3,e_4,e_5)
| equalish(e_2,X1)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_681]),c_0_350])]) ).
cnf(c_0_685,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_682,c_0_683]) ).
cnf(c_0_686,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_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_88]),c_0_117]) ).
cnf(c_0_687,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_682,c_0_685]) ).
cnf(c_0_688,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| equalish(X1,e_5)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_686]) ).
cnf(c_0_689,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_687]),c_0_109]) ).
cnf(c_0_690,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_682,c_0_86]) ).
cnf(c_0_691,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_73]) ).
cnf(c_0_692,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_682,c_0_690]) ).
cnf(c_0_693,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_680]),c_0_158]) ).
cnf(c_0_694,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_680]) ).
cnf(c_0_695,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_691]),c_0_135]) ).
cnf(c_0_696,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_682,c_0_692]) ).
cnf(c_0_697,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(X1,e_2,e_5)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_693]) ).
cnf(c_0_698,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_695]),c_0_90]) ).
cnf(c_0_699,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_689]) ).
cnf(c_0_700,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_696]),c_0_109]) ).
cnf(c_0_701,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_5)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_697,c_0_145]) ).
cnf(c_0_702,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_698]),c_0_184]) ).
cnf(c_0_703,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_699,c_0_700]) ).
cnf(c_0_704,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_2,e_4,e_5)
| equalish(e_3,X1)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_681]),c_0_350])]) ).
cnf(c_0_705,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_689]) ).
cnf(c_0_706,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_5,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_697,c_0_701]) ).
cnf(c_0_707,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(X1,e_1,e_5)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_702]) ).
cnf(c_0_708,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_703]),c_0_84]) ).
cnf(c_0_709,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_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_88]),c_0_102]) ).
cnf(c_0_710,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| equalish(X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_702]) ).
cnf(c_0_711,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_706]),c_0_135]) ).
cnf(c_0_712,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_707,c_0_708]) ).
cnf(c_0_713,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_709]),c_0_135]) ).
cnf(c_0_714,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_3,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_685]) ).
cnf(c_0_715,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_711]),c_0_202]) ).
cnf(c_0_716,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_5)
| product(e_5,e_2,e_1)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_712]),c_0_184]) ).
cnf(c_0_717,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_305,c_0_713]) ).
cnf(c_0_718,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_714,c_0_680]) ).
cnf(c_0_719,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_715]),c_0_135]) ).
cnf(c_0_720,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_1,e_5)
| product(e_3,e_1,e_5)
| product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_707,c_0_716]) ).
cnf(c_0_721,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(X1,e_2,e_5)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_713]) ).
cnf(c_0_722,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_2,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_717]),c_0_135]) ).
cnf(c_0_723,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_718]),c_0_109]) ).
cnf(c_0_724,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_719]) ).
cnf(c_0_725,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_1,e_5)
| product(e_3,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_720]),c_0_135]) ).
cnf(c_0_726,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_5,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_721,c_0_722]) ).
cnf(c_0_727,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_723]),c_0_73]) ).
cnf(c_0_728,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_725]),c_0_84]) ).
cnf(c_0_729,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3)
| product(X1,e_1,e_3)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_726]) ).
cnf(c_0_730,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_727]),c_0_135]) ).
cnf(c_0_731,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_728]),c_0_152]) ).
cnf(c_0_732,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_729,c_0_713]) ).
cnf(c_0_733,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_4,e_4,e_5)
| product(e_4,e_3,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_730]),c_0_102]) ).
cnf(c_0_734,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_731]),c_0_135]) ).
cnf(c_0_735,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_5)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_732]) ).
cnf(c_0_736,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_4,e_3,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_733]),c_0_122]) ).
cnf(c_0_737,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_3,e_5,e_4)
| product(e_4,e_1,e_1)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_438]) ).
cnf(c_0_738,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_734]) ).
cnf(c_0_739,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_728]) ).
cnf(c_0_740,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_734]),c_0_117]) ).
cnf(c_0_741,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| equalish(X1,e_5)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_693]) ).
cnf(c_0_742,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_736]) ).
cnf(c_0_743,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_2,e_5,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_713]),c_0_152]) ).
cnf(c_0_744,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_3,e_5,e_4)
| product(e_4,e_1,e_1)
| equalish(e_2,X1)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_681]),c_0_350])]) ).
cnf(c_0_745,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_738,c_0_728]) ).
cnf(c_0_746,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_739,c_0_740]),c_0_163]) ).
cnf(c_0_747,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_736]),c_0_102]) ).
cnf(c_0_748,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_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_742,c_0_686]) ).
cnf(c_0_749,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_2,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_743]),c_0_158]) ).
cnf(c_0_750,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_3,e_5,e_4)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_88]),c_0_117]) ).
cnf(c_0_751,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_745]) ).
cnf(c_0_752,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_746]),c_0_117]) ).
cnf(c_0_753,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(X1,e_1,e_5)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_747]) ).
cnf(c_0_754,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,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_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_748]),c_0_152]) ).
cnf(c_0_755,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_2,e_4,e_5)
| equalish(X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_749]) ).
cnf(c_0_756,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_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_750]),c_0_144]) ).
cnf(c_0_757,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_5,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_751,c_0_752]),c_0_144]) ).
cnf(c_0_758,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,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_1,e_5)
| product(e_5,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_753,c_0_754]) ).
cnf(c_0_759,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_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_228]) ).
cnf(c_0_760,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| equalish(X1,e_5)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_728]) ).
cnf(c_0_761,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_497,c_0_757]) ).
cnf(c_0_762,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_713]) ).
cnf(c_0_763,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,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_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_753,c_0_758]) ).
cnf(c_0_764,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_759]),c_0_90]) ).
cnf(c_0_765,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,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_760,c_0_761]),c_0_115]) ).
cnf(c_0_766,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_693]),c_0_163]) ).
cnf(c_0_767,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_763]),c_0_90]) ).
cnf(c_0_768,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_764]),c_0_158]) ).
cnf(c_0_769,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_3,e_5)
| product(e_3,e_3,e_5)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_521]) ).
cnf(c_0_770,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,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_120,c_0_765]),c_0_184]) ).
cnf(c_0_771,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_766]) ).
cnf(c_0_772,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_767]),c_0_184]) ).
cnf(c_0_773,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_768]),c_0_73]) ).
cnf(c_0_774,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_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_670]),c_0_138]) ).
cnf(c_0_775,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_770]) ).
cnf(c_0_776,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_734]) ).
cnf(c_0_777,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_771,c_0_772]),c_0_152]) ).
cnf(c_0_778,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_773]) ).
cnf(c_0_779,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_3,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_774]),c_0_135]) ).
cnf(c_0_780,negated_conjecture,
( 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_3,e_5,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_513,c_0_768]) ).
cnf(c_0_781,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3)
| equalish(e_4,X1)
| ~ next(e_2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_654]),c_0_350])]) ).
cnf(c_0_782,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_777]),c_0_184]) ).
cnf(c_0_783,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_768]) ).
cnf(c_0_784,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_778,c_0_139]) ).
cnf(c_0_785,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_3,e_5)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_779]),c_0_84]) ).
cnf(c_0_786,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_768]) ).
cnf(c_0_787,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_780]),c_0_158]) ).
cnf(c_0_788,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_167]),c_0_163]) ).
cnf(c_0_789,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_739,c_0_782]),c_0_163]) ).
cnf(c_0_790,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_680]),c_0_122]) ).
cnf(c_0_791,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_261,c_0_784]) ).
cnf(c_0_792,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_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_785]),c_0_90]) ).
cnf(c_0_793,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_786,c_0_787]) ).
cnf(c_0_794,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| equalish(X1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_788]) ).
cnf(c_0_795,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_789]),c_0_184]) ).
cnf(c_0_796,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_790]) ).
cnf(c_0_797,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_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_343,c_0_790]) ).
cnf(c_0_798,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_791]) ).
cnf(c_0_799,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_792]),c_0_122]) ).
cnf(c_0_800,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_793]) ).
cnf(c_0_801,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_795]),c_0_135]) ).
cnf(c_0_802,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_261,c_0_773]) ).
cnf(c_0_803,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_2,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_796,c_0_797]) ).
cnf(c_0_804,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_799]),c_0_158]) ).
cnf(c_0_805,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_768]) ).
cnf(c_0_806,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(X1,e_2,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_801]) ).
cnf(c_0_807,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_801]),c_0_125]) ).
cnf(c_0_808,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_261,c_0_802]) ).
cnf(c_0_809,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_5,e_1,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_796,c_0_803]) ).
cnf(c_0_810,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_804]) ).
cnf(c_0_811,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_805]),c_0_144]) ).
cnf(c_0_812,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_2,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_806,c_0_86]) ).
cnf(c_0_813,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(X1,e_1,e_5)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_807]) ).
cnf(c_0_814,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_790]),c_0_125]) ).
cnf(c_0_815,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_808]) ).
cnf(c_0_816,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_809]),c_0_109]) ).
cnf(c_0_817,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_811]),c_0_326]) ).
cnf(c_0_818,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_806,c_0_812]) ).
cnf(c_0_819,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_813,c_0_126]) ).
cnf(c_0_820,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_814]) ).
cnf(c_0_821,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_815,c_0_799]),c_0_158]) ).
cnf(c_0_822,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_1)
| equalish(X1,e_5)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_816]) ).
cnf(c_0_823,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_817]),c_0_163]) ).
cnf(c_0_824,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_807]) ).
cnf(c_0_825,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_801]),c_0_158]) ).
cnf(c_0_826,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_806,c_0_818]) ).
cnf(c_0_827,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_819]),c_0_135]) ).
cnf(c_0_828,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_821]),c_0_163]) ).
cnf(c_0_829,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_823]),c_0_115]) ).
cnf(c_0_830,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_825]),c_0_163]) ).
cnf(c_0_831,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_826]),c_0_109]) ).
cnf(c_0_832,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_813,c_0_827]) ).
cnf(c_0_833,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| equalish(X1,e_5)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_828]) ).
cnf(c_0_834,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_829]),c_0_73]) ).
cnf(c_0_835,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_830]),c_0_135]) ).
cnf(c_0_836,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| equalish(X1,e_2)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_831]) ).
cnf(c_0_837,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_813,c_0_832]) ).
cnf(c_0_838,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_833,c_0_834]),c_0_73]) ).
cnf(c_0_839,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| equalish(X1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_835]) ).
cnf(c_0_840,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_836,c_0_837]),c_0_84]) ).
cnf(c_0_841,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_2,e_5)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_838]) ).
cnf(c_0_842,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_840]),c_0_122]) ).
cnf(c_0_843,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_842]),c_0_163]) ).
cnf(c_0_844,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_843]),c_0_184]) ).
cnf(c_0_845,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_844]),c_0_125]) ).
cnf(c_0_846,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_845]),c_0_184]) ).
cnf(c_0_847,axiom,
greater(e_5,e_3),
e_5_greater_e_3 ).
cnf(c_0_848,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| equalish(X1,e_5)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_801]) ).
cnf(c_0_849,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_846]),c_0_109]) ).
cnf(c_0_850,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)
| ~ cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_210]),c_0_847])]) ).
cnf(c_0_851,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_849]),c_0_115]) ).
cnf(c_0_852,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)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_850,c_0_177]) ).
cnf(c_0_853,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_854,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_851]),c_0_109]) ).
cnf(c_0_855,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4)
| ~ cycle(e_3,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_852]),c_0_853])]) ).
cnf(c_0_856,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_854]),c_0_144]) ).
cnf(c_0_857,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_855,c_0_177]) ).
cnf(c_0_858,negated_conjecture,
( product(e_1,e_1,e_5)
| product(X1,e_5,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_856]) ).
cnf(c_0_859,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_857]),c_0_125]) ).
cnf(c_0_860,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_2,e_5,e_3)
| product(e_3,e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_858,c_0_859]) ).
cnf(c_0_861,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_665]) ).
cnf(c_0_862,negated_conjecture,
( product(e_1,e_1,e_5)
| product(e_2,e_5,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_860]),c_0_188]) ).
cnf(c_0_863,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_5)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_861,c_0_862]),c_0_109]) ).
cnf(c_0_864,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_5)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_863]),c_0_84]) ).
cnf(c_0_865,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_641,c_0_654]) ).
cnf(c_0_866,negated_conjecture,
( product(e_1,e_1,e_5)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_864]),c_0_90]) ).
cnf(c_0_867,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_865,c_0_167]) ).
cnf(c_0_868,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_866]),c_0_109]) ).
cnf(c_0_869,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_867,c_0_868]) ).
cnf(c_0_870,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_869,c_0_88]),c_0_73]) ).
cnf(c_0_871,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_867,c_0_870]) ).
cnf(c_0_872,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_216]),c_0_158]) ).
cnf(c_0_873,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_867,c_0_872]) ).
cnf(c_0_874,negated_conjecture,
cycle(e_3,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_167]),c_0_125]) ).
cnf(c_0_875,negated_conjecture,
( equalish(e_1,X1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_867,c_0_874]) ).
cnf(c_0_876,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_875,c_0_227]),c_0_84]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : GRP125-3.005 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 28 22:01:19 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.53 start to proof: theBenchmark
% 38.29/38.50 % Version : CSE_E---1.5
% 38.29/38.50 % Problem : theBenchmark.p
% 38.29/38.50 % Proof found
% 38.29/38.50 % SZS status Theorem for theBenchmark.p
% 38.29/38.50 % SZS output start Proof
% See solution above
% 38.33/38.53 % Total time : 37.871000 s
% 38.33/38.53 % SZS output end Proof
% 38.33/38.53 % Total time : 37.876000 s
%------------------------------------------------------------------------------