TSTP Solution File: GRP128-3.005 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP128-3.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 00:16:46 EDT 2023
% Result : Unsatisfiable 1.66s 1.81s
% Output : CNFRefutation 1.77s
% 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/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(cycle6,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle6) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cycle2) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_5) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
cnf(qg3,negated_conjecture,
( product(X1,X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
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/sandbox2/benchmark/theBenchmark.p',cycle5) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_then_e_5) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
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/sandbox2/benchmark/theBenchmark.p',cycle4) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_0) ).
cnf(cycle3,axiom,
cycle(e_5,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle3) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_0_then_e_1) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_0) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(cycle7,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle7) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_3) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_greater_e_0) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(c_0_50,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_51,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_52,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_50,c_0_51]) ).
cnf(c_0_53,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_54,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
cycle6 ).
cnf(c_0_55,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_52,c_0_53]) ).
cnf(c_0_56,axiom,
greater(e_5,e_2),
e_5_greater_e_2 ).
cnf(c_0_57,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_58,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_54,c_0_55]),c_0_56])]) ).
cnf(c_0_59,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_57,c_0_53]) ).
cnf(c_0_60,axiom,
group_element(e_5),
element_5 ).
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_58,c_0_59]) ).
cnf(c_0_62,axiom,
greater(e_4,e_2),
e_4_greater_e_2 ).
cnf(c_0_63,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_50,c_0_60]) ).
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_54,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,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_63,c_0_60]) ).
cnf(c_0_67,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_68,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_59]) ).
cnf(c_0_69,axiom,
greater(e_3,e_2),
e_3_greater_e_2 ).
cnf(c_0_70,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_71,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| equalish(X1,e_5)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,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_63,c_0_67]) ).
cnf(c_0_73,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5 ).
cnf(c_0_74,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_54,c_0_68]),c_0_69])]) ).
cnf(c_0_75,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_63,c_0_70]) ).
cnf(c_0_76,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5 ).
cnf(c_0_77,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_63,c_0_53]) ).
cnf(c_0_78,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5 ).
cnf(c_0_79,negated_conjecture,
( product(X1,X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X4) ),
qg3 ).
cnf(c_0_80,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_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_72]),c_0_73]) ).
cnf(c_0_81,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_63,c_0_51]) ).
cnf(c_0_82,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5 ).
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_74,c_0_59]) ).
cnf(c_0_84,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_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_75]),c_0_76]) ).
cnf(c_0_85,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_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_77]),c_0_78]) ).
cnf(c_0_86,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_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(X1,e_5,e_4)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_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_81]),c_0_82]) ).
cnf(c_0_88,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_89,negated_conjecture,
( product(e_2,e_1,e_1)
| product(X1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_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(X1,e_5,e_4)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_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(X1,e_5,e_4)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_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(spm,[status(thm)],[c_0_86,c_0_72]) ).
cnf(c_0_93,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_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(X1,e_5,e_4)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_87]) ).
cnf(c_0_94,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_95,plain,
( product(e_2,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_83]) ).
cnf(c_0_96,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_2,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_89,c_0_83]) ).
cnf(c_0_97,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_98,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_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(spm,[status(thm)],[c_0_90,c_0_75]) ).
cnf(c_0_99,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_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(spm,[status(thm)],[c_0_91,c_0_77]) ).
cnf(c_0_100,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| 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(X1,e_5,e_3)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_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(spm,[status(thm)],[c_0_93,c_0_81]) ).
cnf(c_0_102,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_94]) ).
cnf(c_0_103,negated_conjecture,
( 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_95,c_0_96]),c_0_97]) ).
cnf(c_0_104,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| 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(X1,e_5,e_3)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,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_5,e_4)
| product(X1,e_5,e_3)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| 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(spm,[status(thm)],[c_0_100,c_0_72]) ).
cnf(c_0_107,negated_conjecture,
( product(e_5,e_5,e_1)
| 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_5,e_4)
| product(X1,e_5,e_3)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_101]) ).
cnf(c_0_108,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_94]) ).
cnf(c_0_109,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_2,e_1,e_5)
| 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_102,c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| 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(spm,[status(thm)],[c_0_104,c_0_75]) ).
cnf(c_0_111,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_5,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_5,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_77]) ).
cnf(c_0_112,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(X1,e_5,e_2)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_106]) ).
cnf(c_0_113,negated_conjecture,
( product(e_5,e_5,e_1)
| 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_5,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_81]) ).
cnf(c_0_114,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| 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_108,c_0_109]),c_0_97]) ).
cnf(c_0_115,negated_conjecture,
( product(e_5,e_5,e_1)
| 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(X1,e_5,e_2)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(X1,e_5,e_2)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_72]) ).
cnf(c_0_118,negated_conjecture,
( product(e_5,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_5,e_4)
| product(X1,e_5,e_2)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(X1,e_1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
( product(e_5,e_5,e_1)
| 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(spm,[status(thm)],[c_0_115,c_0_75]) ).
cnf(c_0_121,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_116,c_0_77]) ).
cnf(c_0_122,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(X1,e_5,e_1)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
( product(e_5,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_5,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_81]) ).
cnf(c_0_124,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_114]) ).
cnf(c_0_125,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,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_119,c_0_103]) ).
cnf(c_0_126,negated_conjecture,
( 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(X1,e_5,e_1)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_120]) ).
cnf(c_0_127,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(X1,e_5,e_1)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_122,c_0_72]) ).
cnf(c_0_129,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(X1,e_5,e_1)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_97]) ).
cnf(c_0_131,negated_conjecture,
( 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(spm,[status(thm)],[c_0_126,c_0_75]) ).
cnf(c_0_132,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_77]) ).
cnf(c_0_133,negated_conjecture,
( 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_128]) ).
cnf(c_0_134,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_129,c_0_81]) ).
cnf(c_0_135,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3 ).
cnf(c_0_136,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(X1,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_130]) ).
cnf(c_0_137,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_131]) ).
cnf(c_0_138,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4 ).
cnf(c_0_139,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_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_132]) ).
cnf(c_0_140,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2 ).
cnf(c_0_141,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_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_133,c_0_134]),c_0_135]) ).
cnf(c_0_142,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_130]) ).
cnf(c_0_143,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,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_136,c_0_103]) ).
cnf(c_0_144,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,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_137,c_0_134]),c_0_138]) ).
cnf(c_0_145,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_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_134]),c_0_140]) ).
cnf(c_0_146,negated_conjecture,
( 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)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_141]) ).
cnf(c_0_147,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3 ).
cnf(c_0_148,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_97]) ).
cnf(c_0_149,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_5,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_144]) ).
cnf(c_0_150,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4 ).
cnf(c_0_151,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_2,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_145]) ).
cnf(c_0_152,negated_conjecture,
( 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)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_145]),c_0_147]) ).
cnf(c_0_153,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
cycle5 ).
cnf(c_0_154,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_57,c_0_70]) ).
cnf(c_0_155,negated_conjecture,
( product(e_1,e_1,e_1)
| product(X1,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_148]) ).
cnf(c_0_156,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_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_149,c_0_145]),c_0_150]) ).
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(X1,e_1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_134]) ).
cnf(c_0_158,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_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_159,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_153,c_0_154]) ).
cnf(c_0_160,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_148]) ).
cnf(c_0_161,negated_conjecture,
( product(e_1,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_155,c_0_103]) ).
cnf(c_0_162,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_5,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(X1,e_4,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_156]) ).
cnf(c_0_163,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_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_164,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_159,c_0_62]) ).
cnf(c_0_165,axiom,
next(e_4,e_5),
e_4_then_e_5 ).
cnf(c_0_166,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_103]) ).
cnf(c_0_167,negated_conjecture,
( product(e_1,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_160,c_0_161]),c_0_97]) ).
cnf(c_0_168,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_5,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_162,c_0_134]) ).
cnf(c_0_169,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_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(X1,e_3,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_163]) ).
cnf(c_0_170,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_164,c_0_165]) ).
cnf(c_0_171,negated_conjecture,
( 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_166,c_0_167]),c_0_140]) ).
cnf(c_0_172,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_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_168]) ).
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_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_163]) ).
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_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_169,c_0_163]) ).
cnf(c_0_175,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2 ).
cnf(c_0_176,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
cycle4 ).
cnf(c_0_177,axiom,
greater(e_4,e_0),
e_4_greater_e_0 ).
cnf(c_0_178,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_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_5,X1)
| ~ greater(e_4,X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_179,axiom,
cycle(e_5,e_0),
cycle3 ).
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_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_172]) ).
cnf(c_0_181,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_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_182,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4 ).
cnf(c_0_183,plain,
( equalish(e_4,X1)
| ~ cycle(X2,e_4)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_184,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_2,e_2)
| cycle(e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_177]),c_0_179])]) ).
cnf(c_0_185,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3 ).
cnf(c_0_186,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_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).
cnf(c_0_187,negated_conjecture,
( 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_183,c_0_184]) ).
cnf(c_0_188,negated_conjecture,
( 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)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_144]),c_0_185]) ).
cnf(c_0_189,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_1,e_4,e_2)
| product(X1,e_2,e_2)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_186]) ).
cnf(c_0_190,negated_conjecture,
( 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_187,c_0_165]) ).
cnf(c_0_191,negated_conjecture,
( 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)
| product(e_4,e_5,e_1)
| product(X1,e_4,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_188]) ).
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_5,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_189,c_0_186]) ).
cnf(c_0_193,axiom,
greater(e_3,e_0),
e_3_greater_e_0 ).
cnf(c_0_194,negated_conjecture,
( 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_190,c_0_179]) ).
cnf(c_0_195,axiom,
next(e_0,e_1),
e_0_then_e_1 ).
cnf(c_0_196,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1 ).
cnf(c_0_197,negated_conjecture,
( 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)
| product(e_4,e_5,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_191,c_0_134]) ).
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_5,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_5)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_186]) ).
cnf(c_0_199,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_4)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_192]) ).
cnf(c_0_200,plain,
( equalish(e_3,X1)
| ~ cycle(X2,e_3)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_176,c_0_193]) ).
cnf(c_0_201,negated_conjecture,
( 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_194,c_0_195]),c_0_196]) ).
cnf(c_0_202,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_1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_197]) ).
cnf(c_0_203,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_1,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_78]) ).
cnf(c_0_204,negated_conjecture,
( 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_183,c_0_171]) ).
cnf(c_0_205,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_206,negated_conjecture,
( 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_200,c_0_201]) ).
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_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_202]) ).
cnf(c_0_208,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_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_203]) ).
cnf(c_0_209,negated_conjecture,
( 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_204,c_0_205]) ).
cnf(c_0_210,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_57,c_0_67]) ).
cnf(c_0_211,negated_conjecture,
( 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_206,c_0_165]) ).
cnf(c_0_212,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_186]) ).
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_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_150]) ).
cnf(c_0_214,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_52,c_0_70]) ).
cnf(c_0_215,negated_conjecture,
( 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_209,c_0_210]) ).
cnf(c_0_216,axiom,
greater(e_2,e_0),
e_2_greater_e_0 ).
cnf(c_0_217,negated_conjecture,
( 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_211,c_0_179]) ).
cnf(c_0_218,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1 ).
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_5,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_175]) ).
cnf(c_0_220,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_4,e_5)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_214]) ).
cnf(c_0_221,negated_conjecture,
( 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_215,c_0_195]),c_0_196]) ).
cnf(c_0_222,plain,
( equalish(e_2,X1)
| ~ cycle(X2,e_2)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_176,c_0_216]) ).
cnf(c_0_223,negated_conjecture,
( 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_217,c_0_195]),c_0_218]) ).
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_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_208]) ).
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_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_219]) ).
cnf(c_0_226,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_5,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_3,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_213]) ).
cnf(c_0_227,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_2,e_4,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_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_208]) ).
cnf(c_0_228,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2 ).
cnf(c_0_229,negated_conjecture,
( 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_209,c_0_221]) ).
cnf(c_0_230,negated_conjecture,
( 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_222,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_1,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_175]) ).
cnf(c_0_232,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_5,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_213]) ).
cnf(c_0_233,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_5,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_226,c_0_144]) ).
cnf(c_0_234,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_5,e_3)
| equalish(X1,e_5)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_144]) ).
cnf(c_0_235,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_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_227]),c_0_228]) ).
cnf(c_0_236,negated_conjecture,
( 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_229,c_0_165]),c_0_76]) ).
cnf(c_0_237,negated_conjecture,
( 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_230,c_0_165]) ).
cnf(c_0_238,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_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_231]) ).
cnf(c_0_239,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_5,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_185]) ).
cnf(c_0_240,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_5,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_82]) ).
cnf(c_0_241,negated_conjecture,
( 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_200,c_0_236]) ).
cnf(c_0_242,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_243,negated_conjecture,
( 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_237,c_0_179]) ).
cnf(c_0_244,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_4,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_228]) ).
cnf(c_0_245,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_5,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_240]),c_0_185]) ).
cnf(c_0_246,negated_conjecture,
( 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_241,c_0_242]) ).
cnf(c_0_247,negated_conjecture,
( 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_243,c_0_195]),c_0_97]) ).
cnf(c_0_248,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_4,e_2)
| product(e_3,e_5,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_244]) ).
cnf(c_0_249,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_4,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_245]),c_0_228]) ).
cnf(c_0_250,negated_conjecture,
( 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_246,c_0_247]) ).
cnf(c_0_251,axiom,
next(e_1,e_2),
e_1_then_e_2 ).
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_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_1,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_135]) ).
cnf(c_0_253,negated_conjecture,
( 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_250,c_0_251]),c_0_175]) ).
cnf(c_0_254,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_50,c_0_67]) ).
cnf(c_0_255,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_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(X1,e_4,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_252]) ).
cnf(c_0_256,negated_conjecture,
( 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_209,c_0_253]) ).
cnf(c_0_257,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_254,c_0_53]) ).
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_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_255,c_0_208]) ).
cnf(c_0_259,negated_conjecture,
( 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_256,c_0_205]),c_0_185]) ).
cnf(c_0_260,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_88,c_0_257]) ).
cnf(c_0_261,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_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_258]),c_0_175]) ).
cnf(c_0_262,negated_conjecture,
( 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_209,c_0_259]) ).
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_1,e_4,e_2)
| equalish(X1,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_88,c_0_231]) ).
cnf(c_0_264,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,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_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_185]) ).
cnf(c_0_265,negated_conjecture,
( 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_262,c_0_251]),c_0_228]) ).
cnf(c_0_266,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_4,e_2)
| product(X1,e_2,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_231]) ).
cnf(c_0_267,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_4,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_88,c_0_208]) ).
cnf(c_0_268,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_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_76]) ).
cnf(c_0_269,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_265]) ).
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_1,e_4,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_266,c_0_213]) ).
cnf(c_0_271,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_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_218]) ).
cnf(c_0_272,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_269,c_0_205]) ).
cnf(c_0_273,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_4,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_270]),c_0_175]) ).
cnf(c_0_274,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_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(X1,e_2,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_271]) ).
cnf(c_0_275,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| 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_272,c_0_210]) ).
cnf(c_0_276,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_277,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_4,e_2)
| product(X1,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_273]) ).
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_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_274,c_0_244]) ).
cnf(c_0_279,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
cycle7 ).
cnf(c_0_280,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,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_275,c_0_195]),c_0_218]) ).
cnf(c_0_281,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_4,e_2)
| product(e_3,e_5,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_244]) ).
cnf(c_0_282,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_4,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_283,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_279,c_0_55]) ).
cnf(c_0_284,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| 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_272,c_0_280]) ).
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_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_140]) ).
cnf(c_0_286,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_2,e_2)
| ~ cycle(e_5,X1)
| ~ greater(e_3,X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_265]) ).
cnf(c_0_287,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)
| 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_283,c_0_265]),c_0_193])]) ).
cnf(c_0_288,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3 ).
cnf(c_0_289,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| 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_284,c_0_165]),c_0_73]) ).
cnf(c_0_290,negated_conjecture,
( 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)
| product(X1,e_3,e_3)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_141]) ).
cnf(c_0_291,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_4,e_2)
| product(e_3,e_5,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_244]) ).
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_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_285]),c_0_175]) ).
cnf(c_0_293,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_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_193]),c_0_179])]) ).
cnf(c_0_294,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)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_205]),c_0_288]) ).
cnf(c_0_295,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_52,c_0_67]) ).
cnf(c_0_296,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_272,c_0_289]) ).
cnf(c_0_297,negated_conjecture,
( 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)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_290,c_0_141]) ).
cnf(c_0_298,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_5,e_3)
| product(X1,e_4,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_144]) ).
cnf(c_0_299,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(X1,e_4,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_131]) ).
cnf(c_0_300,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_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_150]) ).
cnf(c_0_301,negated_conjecture,
( 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_183,c_0_293]) ).
cnf(c_0_302,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,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_279,c_0_294]) ).
cnf(c_0_303,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(e_5,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_295]) ).
cnf(c_0_304,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_242]),c_0_182]) ).
cnf(c_0_305,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_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_297]) ).
cnf(c_0_306,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_5,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_298,c_0_134]) ).
cnf(c_0_307,negated_conjecture,
( 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_4,e_4) ),
inference(spm,[status(thm)],[c_0_299,c_0_131]) ).
cnf(c_0_308,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_4,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_300]),c_0_175]) ).
cnf(c_0_309,negated_conjecture,
( 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_301,c_0_165]) ).
cnf(c_0_310,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,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_2,e_3)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_302,c_0_193]) ).
cnf(c_0_311,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)
| equalish(e_5,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ next(e_3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_216])]) ).
cnf(c_0_312,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4 ).
cnf(c_0_313,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_3,e_3)
| product(e_4,e_5,e_1)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_185]) ).
cnf(c_0_314,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_4,e_4)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_307]) ).
cnf(c_0_315,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_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_308]),c_0_73]) ).
cnf(c_0_316,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_3,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_128]) ).
cnf(c_0_317,negated_conjecture,
( 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_309,c_0_179]) ).
cnf(c_0_318,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,e_1)
| cycle(e_2,e_2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_310,c_0_265]) ).
cnf(c_0_319,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)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_242]),c_0_312]) ).
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_4,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_157,c_0_313]) ).
cnf(c_0_321,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_4,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_138]) ).
cnf(c_0_322,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_315]) ).
cnf(c_0_323,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_1,e_3,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_316,c_0_315]) ).
cnf(c_0_324,negated_conjecture,
( 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_317,c_0_195]),c_0_196]) ).
cnf(c_0_325,negated_conjecture,
( 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_318,c_0_205]),c_0_185]) ).
cnf(c_0_326,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(X1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_319]) ).
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_3,e_5,e_1)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_3)
| product(X1,e_4,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_320]) ).
cnf(c_0_328,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_4,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| 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_321]) ).
cnf(c_0_329,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_218]) ).
cnf(c_0_330,negated_conjecture,
( 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_200,c_0_324]) ).
cnf(c_0_331,negated_conjecture,
( 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_325]) ).
cnf(c_0_332,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_2,e_3,e_4)
| 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_3,e_1) ),
inference(spm,[status(thm)],[c_0_326,c_0_325]) ).
cnf(c_0_333,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)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_152]) ).
cnf(c_0_334,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_5,e_1)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_88,c_0_320]) ).
cnf(c_0_335,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_5,e_1)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_327,c_0_320]) ).
cnf(c_0_336,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(X1,e_1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_315]) ).
cnf(c_0_337,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_4,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_182]) ).
cnf(c_0_338,negated_conjecture,
( 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_330,c_0_165]) ).
cnf(c_0_339,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(X1,e_2,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_325]) ).
cnf(c_0_340,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_175]) ).
cnf(c_0_341,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_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_156]),c_0_185]) ).
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)
| product(e_3,e_5,e_1)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_196]) ).
cnf(c_0_343,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| equalish(X1,e_5)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_88,c_0_131]) ).
cnf(c_0_344,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_345,negated_conjecture,
( 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_338,c_0_179]) ).
cnf(c_0_346,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_347,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_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_341]) ).
cnf(c_0_348,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_1,e_4)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_157,c_0_342]) ).
cnf(c_0_349,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_76]) ).
cnf(c_0_350,negated_conjecture,
( 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_345,c_0_195]),c_0_218]) ).
cnf(c_0_351,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_346]) ).
cnf(c_0_352,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_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_151,c_0_156]) ).
cnf(c_0_353,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_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_347]) ).
cnf(c_0_354,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_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_348]),c_0_175]) ).
cnf(c_0_355,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_329]) ).
cnf(c_0_356,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_349]),c_0_196]) ).
cnf(c_0_357,negated_conjecture,
( 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_222,c_0_350]) ).
cnf(c_0_358,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_346]) ).
cnf(c_0_359,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_351,c_0_346]) ).
cnf(c_0_360,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_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_352]) ).
cnf(c_0_361,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_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_182]) ).
cnf(c_0_362,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_185]) ).
cnf(c_0_363,negated_conjecture,
( 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_357,c_0_165]) ).
cnf(c_0_364,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_175]) ).
cnf(c_0_365,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_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_182]) ).
cnf(c_0_366,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_2,e_3)
| product(X1,e_3,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_158]) ).
cnf(c_0_367,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_336,c_0_362]) ).
cnf(c_0_368,negated_conjecture,
( 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_363,c_0_179]) ).
cnf(c_0_369,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_364]) ).
cnf(c_0_370,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_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_365]) ).
cnf(c_0_371,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_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_366,c_0_145]) ).
cnf(c_0_372,negated_conjecture,
( 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)
| equalish(X1,e_5)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_141]) ).
cnf(c_0_373,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_367]) ).
cnf(c_0_374,negated_conjecture,
( 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_368,c_0_195]),c_0_97]) ).
cnf(c_0_375,axiom,
greater(e_1,e_0),
e_1_greater_e_0 ).
cnf(c_0_376,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_369,c_0_216]) ).
cnf(c_0_377,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_5,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_306]) ).
cnf(c_0_378,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_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_182]) ).
cnf(c_0_379,negated_conjecture,
( 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)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_348]),c_0_73]) ).
cnf(c_0_380,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4)
| 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_373,c_0_374]),c_0_375])]) ).
cnf(c_0_381,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_304]) ).
cnf(c_0_382,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_5,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_150]) ).
cnf(c_0_383,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_4)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_379]) ).
cnf(c_0_384,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_165]),c_0_73]) ).
cnf(c_0_385,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_242]),c_0_138]) ).
cnf(c_0_386,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_1,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_157,c_0_382]) ).
cnf(c_0_387,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_4)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_378]),c_0_147]) ).
cnf(c_0_388,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_336,c_0_384]) ).
cnf(c_0_389,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_88,c_0_385]) ).
cnf(c_0_390,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_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_386]) ).
cnf(c_0_391,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_1,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_157,c_0_387]) ).
cnf(c_0_392,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_5,e_3)
| product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_379]),c_0_182]) ).
cnf(c_0_393,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(X1,e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_388]) ).
cnf(c_0_394,negated_conjecture,
( 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,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_325]) ).
cnf(c_0_395,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,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)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_132]),c_0_288]) ).
cnf(c_0_396,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1 ).
cnf(c_0_397,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_3,e_3)
| product(e_1,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_342]) ).
cnf(c_0_398,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_4,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_182]) ).
cnf(c_0_399,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_1,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_157,c_0_392]) ).
cnf(c_0_400,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_388]) ).
cnf(c_0_401,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_393,c_0_388]) ).
cnf(c_0_402,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_396]) ).
cnf(c_0_403,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_3,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_147]) ).
cnf(c_0_404,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_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_4,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_399]) ).
cnf(c_0_405,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| 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_218]) ).
cnf(c_0_406,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_402]) ).
cnf(c_0_407,negated_conjecture,
( 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)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_403]),c_0_73]) ).
cnf(c_0_408,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_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_88,c_0_399]) ).
cnf(c_0_409,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_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_399]) ).
cnf(c_0_410,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(X1,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_405]) ).
cnf(c_0_411,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_405]),c_0_140]) ).
cnf(c_0_412,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_4,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_398]) ).
cnf(c_0_413,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_5,e_3)
| product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_407]),c_0_182]) ).
cnf(c_0_414,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_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_196]) ).
cnf(c_0_415,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_410,c_0_411]) ).
cnf(c_0_416,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_4,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_228]) ).
cnf(c_0_417,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_1,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_157,c_0_414]) ).
cnf(c_0_418,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1)
| product(X1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_415]) ).
cnf(c_0_419,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_4,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_416]),c_0_175]) ).
cnf(c_0_420,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_4,e_3)
| product(X1,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_417]) ).
cnf(c_0_421,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_415]) ).
cnf(c_0_422,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_418,c_0_415]) ).
cnf(c_0_423,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_4,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_419]) ).
cnf(c_0_424,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_4,e_3)
| product(e_2,e_3,e_4)
| 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(spm,[status(thm)],[c_0_420,c_0_325]) ).
cnf(c_0_425,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_97]) ).
cnf(c_0_426,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_4,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_423,c_0_424]),c_0_196]) ).
cnf(c_0_427,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_425]) ).
cnf(c_0_428,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_4,e_3)
| product(e_2,e_1,e_1)
| product(X1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_426]) ).
cnf(c_0_429,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(X1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_402]) ).
cnf(c_0_430,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_2,e_3)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_427,c_0_193]) ).
cnf(c_0_431,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_4,e_3)
| product(e_2,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_426]) ).
cnf(c_0_432,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_4,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_428,c_0_426]) ).
cnf(c_0_433,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_429,c_0_402]) ).
cnf(c_0_434,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_430,c_0_265]) ).
cnf(c_0_435,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_4,e_3)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_88,c_0_419]) ).
cnf(c_0_436,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_4,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_431,c_0_432]),c_0_97]) ).
cnf(c_0_437,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_433]) ).
cnf(c_0_438,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_205]),c_0_135]) ).
cnf(c_0_439,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_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_436]),c_0_135]) ).
cnf(c_0_440,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_402]) ).
cnf(c_0_441,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_140]) ).
cnf(c_0_442,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| 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_439]) ).
cnf(c_0_443,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_1,e_3,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_316,c_0_439]) ).
cnf(c_0_444,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_438]) ).
cnf(c_0_445,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_78]) ).
cnf(c_0_446,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_218]) ).
cnf(c_0_447,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| 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_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_445]),c_0_97]) ).
cnf(c_0_448,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4)
| product(X1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_446]) ).
cnf(c_0_449,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1)
| product(X1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_447]) ).
cnf(c_0_450,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(X1,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_439]) ).
cnf(c_0_451,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_448,c_0_439]) ).
cnf(c_0_452,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_447]) ).
cnf(c_0_453,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_449,c_0_447]) ).
cnf(c_0_454,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_455,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_97]) ).
cnf(c_0_456,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(X1,e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_454]) ).
cnf(c_0_457,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_455]) ).
cnf(c_0_458,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_454]) ).
cnf(c_0_459,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_456,c_0_454]) ).
cnf(c_0_460,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_2,e_3)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_457,c_0_193]) ).
cnf(c_0_461,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_218]) ).
cnf(c_0_462,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_460,c_0_265]) ).
cnf(c_0_463,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| 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_88,c_0_461]) ).
cnf(c_0_464,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_205]),c_0_135]) ).
cnf(c_0_465,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_76]) ).
cnf(c_0_466,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(X1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_465]) ).
cnf(c_0_467,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_464]) ).
cnf(c_0_468,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_466,c_0_465]) ).
cnf(c_0_469,negated_conjecture,
( 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)
| cycle(e_3,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_385]) ).
cnf(c_0_470,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_468]),c_0_175]) ).
cnf(c_0_471,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_140]) ).
cnf(c_0_472,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| product(X1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_471]) ).
cnf(c_0_473,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_471]) ).
cnf(c_0_474,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_472,c_0_471]) ).
cnf(c_0_475,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_97]) ).
cnf(c_0_476,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_2,X2)
| ~ greater(X2,e_0)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_475]) ).
cnf(c_0_477,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ cycle(e_2,e_3)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_476,c_0_193]) ).
cnf(c_0_478,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_477,c_0_265]) ).
cnf(c_0_479,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_205]),c_0_135]) ).
cnf(c_0_480,negated_conjecture,
( product(e_1,e_3,e_4)
| equalish(X1,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_464]) ).
cnf(c_0_481,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_479]) ).
cnf(c_0_482,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_479]),c_0_182]) ).
cnf(c_0_483,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_5)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_88,c_0_465]) ).
cnf(c_0_484,negated_conjecture,
( product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_228]) ).
cnf(c_0_485,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_82]) ).
cnf(c_0_486,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_485]),c_0_175]) ).
cnf(c_0_487,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_486]),c_0_140]) ).
cnf(c_0_488,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| product(X1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_487]) ).
cnf(c_0_489,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_487]) ).
cnf(c_0_490,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_488,c_0_487]) ).
cnf(c_0_491,negated_conjecture,
( equalish(X1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_484]) ).
cnf(c_0_492,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_97]) ).
cnf(c_0_493,negated_conjecture,
( product(e_1,e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_492]),c_0_97]) ).
cnf(c_0_494,negated_conjecture,
( equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_493]) ).
cnf(c_0_495,negated_conjecture,
( product(e_1,e_3,e_4)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_493]),c_0_182]) ).
cnf(c_0_496,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_228]) ).
cnf(c_0_497,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_272,c_0_496]) ).
cnf(c_0_498,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_251]),c_0_175]) ).
cnf(c_0_499,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_222,c_0_498]) ).
cnf(c_0_500,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_2,e_1)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_499,c_0_205]) ).
cnf(c_0_501,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_500,c_0_210]) ).
cnf(c_0_502,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_501,c_0_195]),c_0_97]) ).
cnf(c_0_503,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_500,c_0_502]) ).
cnf(c_0_504,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_503,c_0_165]),c_0_78]) ).
cnf(c_0_505,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_500,c_0_504]) ).
cnf(c_0_506,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_505,c_0_242]),c_0_150]) ).
cnf(c_0_507,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_500,c_0_506]) ).
cnf(c_0_508,plain,
( equalish(e_1,X1)
| ~ cycle(X2,e_1)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_176,c_0_375]) ).
cnf(c_0_509,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_205]),c_0_147]) ).
cnf(c_0_510,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_508,c_0_509]) ).
cnf(c_0_511,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_170,c_0_498]) ).
cnf(c_0_512,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_510,c_0_242]) ).
cnf(c_0_513,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_511,c_0_216]),c_0_179])]) ).
cnf(c_0_514,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_512,c_0_513]) ).
cnf(c_0_515,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_514,c_0_165]),c_0_82]) ).
cnf(c_0_516,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_512,c_0_515]) ).
cnf(c_0_517,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_516,c_0_242]),c_0_138]) ).
cnf(c_0_518,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_512,c_0_517]) ).
cnf(c_0_519,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_205]),c_0_135]) ).
cnf(c_0_520,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_512,c_0_519]) ).
cnf(c_0_521,negated_conjecture,
cycle(e_2,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_251]),c_0_140]) ).
cnf(c_0_522,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_170,c_0_521]) ).
cnf(c_0_523,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_522,c_0_375]),c_0_179])]) ).
cnf(c_0_524,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_183,c_0_523]) ).
cnf(c_0_525,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_524,c_0_165]) ).
cnf(c_0_526,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_525,c_0_179]) ).
cnf(c_0_527,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_526,c_0_195]),c_0_196]) ).
cnf(c_0_528,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_200,c_0_527]) ).
cnf(c_0_529,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_528,c_0_165]) ).
cnf(c_0_530,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)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_214]) ).
cnf(c_0_531,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_529,c_0_179]) ).
cnf(c_0_532,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_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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_295]),c_0_182]) ).
cnf(c_0_533,negated_conjecture,
( cycle(e_4,e_1)
| cycle(e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_195]),c_0_218]) ).
cnf(c_0_534,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_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(X1,e_4,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_532]) ).
cnf(c_0_535,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_222,c_0_533]) ).
cnf(c_0_536,plain,
( 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_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_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_88,c_0_532]) ).
cnf(c_0_537,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_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_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_534,c_0_532]) ).
cnf(c_0_538,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| ~ cycle(e_5,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_535,c_0_165]) ).
cnf(c_0_539,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_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_94]),c_0_138]) ).
cnf(c_0_540,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_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_537]),c_0_196]) ).
cnf(c_0_541,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_4,e_1)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_538,c_0_179]) ).
cnf(c_0_542,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_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(X1,e_4,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_79,c_0_539]) ).
cnf(c_0_543,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_540]) ).
cnf(c_0_544,negated_conjecture,
cycle(e_4,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_195]),c_0_97]) ).
cnf(c_0_545,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_88,c_0_539]) ).
cnf(c_0_546,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_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_542,c_0_539]) ).
cnf(c_0_547,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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(e_3,X1)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_375])]) ).
cnf(c_0_548,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_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_196]) ).
cnf(c_0_549,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_165]),c_0_73]) ).
cnf(c_0_550,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_548]) ).
cnf(c_0_551,negated_conjecture,
( product(e_4,e_1,e_1)
| 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(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_549]) ).
cnf(c_0_552,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(e_3,X1)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_544]),c_0_375])]) ).
cnf(c_0_553,negated_conjecture,
( product(e_4,e_1,e_1)
| 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(e_2,X1)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_544]),c_0_375])]) ).
cnf(c_0_554,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_165]),c_0_73]) ).
cnf(c_0_555,negated_conjecture,
( product(e_4,e_1,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_165]),c_0_78]) ).
cnf(c_0_556,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_554]) ).
cnf(c_0_557,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)
| equalish(e_1,X1)
| ~ cycle(e_4,X2)
| ~ greater(X2,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_555]) ).
cnf(c_0_558,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(e_2,X1)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_544]),c_0_375])]) ).
cnf(c_0_559,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)
| equalish(e_1,X1)
| ~ next(e_4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_544]),c_0_375])]) ).
cnf(c_0_560,negated_conjecture,
( product(e_4,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_165]),c_0_78]) ).
cnf(c_0_561,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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_165]),c_0_82]) ).
cnf(c_0_562,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_102,c_0_560]) ).
cnf(c_0_563,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_283,c_0_521]),c_0_375])]) ).
cnf(c_0_564,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_52,c_0_60]) ).
cnf(c_0_565,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_561]) ).
cnf(c_0_566,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_562]),c_0_196]) ).
cnf(c_0_567,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_563,c_0_205]),c_0_288]) ).
cnf(c_0_568,negated_conjecture,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(X1,e_5,e_5)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_79,c_0_564]) ).
cnf(c_0_569,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_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_135]) ).
cnf(c_0_570,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_279,c_0_567]) ).
cnf(c_0_571,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)
| equalish(X1,e_1)
| ~ product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_88,c_0_564]) ).
cnf(c_0_572,negated_conjecture,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_568,c_0_564]) ).
cnf(c_0_573,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(X1,e_3,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_569]) ).
cnf(c_0_574,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_570,c_0_521]),c_0_375])]) ).
cnf(c_0_575,negated_conjecture,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_572]),c_0_396]) ).
cnf(c_0_576,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_569]) ).
cnf(c_0_577,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_573,c_0_569]) ).
cnf(c_0_578,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_574,c_0_205]),c_0_185]) ).
cnf(c_0_579,negated_conjecture,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| equalish(X1,e_5)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_575]) ).
cnf(c_0_580,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_577]),c_0_218]) ).
cnf(c_0_581,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_578]) ).
cnf(c_0_582,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_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_566]),c_0_82]) ).
cnf(c_0_583,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2 ).
cnf(c_0_584,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_580]) ).
cnf(c_0_585,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_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_582]),c_0_583]) ).
cnf(c_0_586,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(X1,e_1,e_4)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_566]) ).
cnf(c_0_587,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_585]),c_0_288]) ).
cnf(c_0_588,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_566]) ).
cnf(c_0_589,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_586,c_0_587]) ).
cnf(c_0_590,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_589]),c_0_396]) ).
cnf(c_0_591,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_586,c_0_590]) ).
cnf(c_0_592,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,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_588,c_0_591]),c_0_218]) ).
cnf(c_0_593,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_592]),c_0_147]) ).
cnf(c_0_594,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_586,c_0_593]) ).
cnf(c_0_595,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_594]),c_0_218]) ).
cnf(c_0_596,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_586,c_0_595]) ).
cnf(c_0_597,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_596]),c_0_97]) ).
cnf(c_0_598,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_597]),c_0_140]) ).
cnf(c_0_599,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(X1,e_2,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_598]) ).
cnf(c_0_600,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_598]) ).
cnf(c_0_601,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_599,c_0_598]) ).
cnf(c_0_602,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(X1,e_1,e_3)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_597]) ).
cnf(c_0_603,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_601]),c_0_97]) ).
cnf(c_0_604,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_597]) ).
cnf(c_0_605,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_602,c_0_603]) ).
cnf(c_0_606,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_604,c_0_605]),c_0_97]) ).
cnf(c_0_607,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(X1,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_578]) ).
cnf(c_0_608,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_606]) ).
cnf(c_0_609,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_607,c_0_606]) ).
cnf(c_0_610,axiom,
greater(e_5,e_3),
e_5_greater_e_3 ).
cnf(c_0_611,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(X1,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_561]) ).
cnf(c_0_612,negated_conjecture,
( product(e_1,e_1,e_1)
| product(X1,e_1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_606]) ).
cnf(c_0_613,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_609]),c_0_97]) ).
cnf(c_0_614,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_54,c_0_295]),c_0_610])]) ).
cnf(c_0_615,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_2,e_3,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_611,c_0_578]) ).
cnf(c_0_616,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_612,c_0_613]) ).
cnf(c_0_617,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_614,c_0_210]) ).
cnf(c_0_618,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_619,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_615]),c_0_175]) ).
cnf(c_0_620,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| equalish(X1,e_5)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_315]) ).
cnf(c_0_621,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_616]),c_0_97]) ).
cnf(c_0_622,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_54,c_0_617]),c_0_618])]) ).
cnf(c_0_623,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_607,c_0_619]) ).
cnf(c_0_624,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_606]) ).
cnf(c_0_625,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_78]) ).
cnf(c_0_626,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_622,c_0_210]) ).
cnf(c_0_627,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_3,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_623]) ).
cnf(c_0_628,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_625]),c_0_396]) ).
cnf(c_0_629,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(X1,e_3,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_626]) ).
cnf(c_0_630,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_623]) ).
cnf(c_0_631,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_627,c_0_623]) ).
cnf(c_0_632,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_1,e_1)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_628]) ).
cnf(c_0_633,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_626]) ).
cnf(c_0_634,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,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_629,c_0_626]) ).
cnf(c_0_635,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_631]),c_0_175]) ).
cnf(c_0_636,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_632,c_0_628]) ).
cnf(c_0_637,negated_conjecture,
( 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_633,c_0_634]),c_0_218]) ).
cnf(c_0_638,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_635]) ).
cnf(c_0_639,negated_conjecture,
product(e_1,e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_636]),c_0_196]) ).
cnf(c_0_640,negated_conjecture,
( product(e_3,e_1,e_1)
| product(X1,e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_637]) ).
cnf(c_0_641,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_639]),c_0_135]) ).
cnf(c_0_642,negated_conjecture,
( equalish(X1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_639]) ).
cnf(c_0_643,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,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(spm,[status(thm)],[c_0_640,c_0_578]) ).
cnf(c_0_644,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_641]) ).
cnf(c_0_645,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_1,e_1)
| product(e_2,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_642,c_0_643]),c_0_218]) ).
cnf(c_0_646,negated_conjecture,
( product(e_3,e_1,e_1)
| equalish(X1,e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_637]) ).
cnf(c_0_647,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_2,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_644,c_0_645]),c_0_150]) ).
cnf(c_0_648,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_2,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_647]),c_0_147]) ).
cnf(c_0_649,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_508,c_0_521]) ).
cnf(c_0_650,negated_conjecture,
( product(e_2,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_648]),c_0_218]) ).
cnf(c_0_651,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_649,c_0_205]) ).
cnf(c_0_652,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_642,c_0_650]),c_0_97]) ).
cnf(c_0_653,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_651,c_0_652]) ).
cnf(c_0_654,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_653,c_0_165]),c_0_82]) ).
cnf(c_0_655,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_651,c_0_654]) ).
cnf(c_0_656,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_242]),c_0_138]) ).
cnf(c_0_657,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_651,c_0_656]) ).
cnf(c_0_658,negated_conjecture,
cycle(e_3,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_205]),c_0_135]) ).
cnf(c_0_659,negated_conjecture,
( equalish(e_1,X1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_651,c_0_658]) ).
cnf(c_0_660,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_251]),c_0_140]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP128-3.005 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 21:47:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 1.66/1.81 % Version : CSE_E---1.5
% 1.66/1.81 % Problem : theBenchmark.p
% 1.66/1.81 % Proof found
% 1.66/1.81 % SZS status Theorem for theBenchmark.p
% 1.66/1.81 % SZS output start Proof
% See solution above
% 1.77/1.83 % Total time : 1.217000 s
% 1.77/1.83 % SZS output end Proof
% 1.77/1.83 % Total time : 1.222000 s
%------------------------------------------------------------------------------