TSTP Solution File: GRP127-2.006 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP127-2.006 : 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 : n004.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 00:16:29 EDT 2023
% Result : Unsatisfiable 13.29s 13.39s
% Output : CNFRefutation 13.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 126
% Number of leaves : 58
% Syntax : Number of formulae : 414 ( 87 unt; 11 typ; 0 def)
% Number of atoms : 2321 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 2096 ( 178 ~;1918 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 142 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e_1: $i ).
tff(decl_23,type,
e_2: $i ).
tff(decl_24,type,
next: ( $i * $i ) > $o ).
tff(decl_25,type,
e_3: $i ).
tff(decl_26,type,
e_4: $i ).
tff(decl_27,type,
e_5: $i ).
tff(decl_28,type,
e_6: $i ).
tff(decl_29,type,
greater: ( $i * $i ) > $o ).
tff(decl_30,type,
product: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
group_element: $i > $o ).
tff(decl_32,type,
equalish: ( $i * $i ) > $o ).
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| product(X1,X2,e_6)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_5) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
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(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(element_6,axiom,
group_element(e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_6) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(e_5_is_not_e_6,axiom,
~ equalish(e_5,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_6) ).
cnf(qg3,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(no_redundancy,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
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(e_6_greater_e_3,axiom,
greater(e_6,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_3) ).
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(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
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_6_greater_e_4,axiom,
greater(e_6,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_4) ).
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_6_is_not_e_5,axiom,
~ equalish(e_6,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_5) ).
cnf(e_1_is_not_e_6,axiom,
~ equalish(e_1,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_6) ).
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_6_is_not_e_1,axiom,
~ equalish(e_6,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_1) ).
cnf(e_6_greater_e_5,axiom,
greater(e_6,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_5) ).
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_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_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_5_greater_e_4,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_4) ).
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_4_is_not_e_6,axiom,
~ equalish(e_4,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_6) ).
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(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_6_is_not_e_3,axiom,
~ equalish(e_6,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_3) ).
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(e_6_is_not_e_2,axiom,
~ equalish(e_6,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_2) ).
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_2,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
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(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_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_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_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_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_3_is_not_e_6,axiom,
~ equalish(e_3,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_6) ).
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(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_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(e_6_is_not_e_4,axiom,
~ equalish(e_6,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_4) ).
cnf(c_0_47,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| product(X1,X2,e_6)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1 ).
cnf(c_0_48,axiom,
group_element(e_5),
element_5 ).
cnf(c_0_49,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_50,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_51,axiom,
product(X1,X1,X1),
product_idempotence ).
cnf(c_0_52,plain,
( product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| product(X1,e_5,e_5)
| product(X1,e_5,e_6)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,axiom,
group_element(e_6),
element_6 ).
cnf(c_0_54,plain,
( product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| product(X1,e_1,e_5)
| product(X1,e_1,e_6)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_49]) ).
cnf(c_0_55,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_56,plain,
( equalish(X1,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,axiom,
~ equalish(e_5,e_6),
e_5_is_not_e_6 ).
cnf(c_0_59,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
qg3 ).
cnf(c_0_60,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy ).
cnf(c_0_61,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_63,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_64,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_65,negated_conjecture,
( product(X1,X1,X2)
| ~ product(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_66,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| ~ greater(e_6,X1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,axiom,
greater(e_6,e_3),
e_6_greater_e_3 ).
cnf(c_0_68,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_69,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_54,c_0_62]) ).
cnf(c_0_70,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_63]) ).
cnf(c_0_71,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_54,c_0_48]) ).
cnf(c_0_72,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_73,negated_conjecture,
( equalish(X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_75,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_76,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| ~ greater(e_6,X1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_69]) ).
cnf(c_0_77,axiom,
greater(e_6,e_4),
e_6_greater_e_4 ).
cnf(c_0_78,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_79,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_1,e_5,e_1)
| 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_70,c_0_71]) ).
cnf(c_0_80,axiom,
~ equalish(e_6,e_5),
e_6_is_not_e_5 ).
cnf(c_0_81,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_82,axiom,
~ equalish(e_1,e_6),
e_1_is_not_e_6 ).
cnf(c_0_83,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_54,c_0_72]) ).
cnf(c_0_84,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_51])]),c_0_75]) ).
cnf(c_0_85,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
cnf(c_0_86,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1 ).
cnf(c_0_87,plain,
( product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| product(X1,e_4,e_5)
| product(X1,e_4,e_6)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_72]) ).
cnf(c_0_88,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_1,e_5,e_1)
| 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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_79]),c_0_51])]),c_0_80]) ).
cnf(c_0_89,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_81]),c_0_82]) ).
cnf(c_0_90,axiom,
~ equalish(e_6,e_1),
e_6_is_not_e_1 ).
cnf(c_0_91,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| ~ greater(e_6,X1)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_83]) ).
cnf(c_0_92,axiom,
greater(e_6,e_5),
e_6_greater_e_5 ).
cnf(c_0_93,axiom,
next(e_4,e_5),
e_4_then_e_5 ).
cnf(c_0_94,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| ~ greater(e_5,X1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_84]) ).
cnf(c_0_95,axiom,
greater(e_5,e_3),
e_5_greater_e_3 ).
cnf(c_0_96,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_85]),c_0_51])]),c_0_86]) ).
cnf(c_0_97,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_87,c_0_48]) ).
cnf(c_0_98,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_89]),c_0_51])]),c_0_90]) ).
cnf(c_0_100,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_101,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1 ).
cnf(c_0_102,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_68])]) ).
cnf(c_0_103,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ greater(e_5,X1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_96]) ).
cnf(c_0_104,axiom,
greater(e_5,e_4),
e_5_greater_e_4 ).
cnf(c_0_105,plain,
( equalish(X1,e_4)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_50,c_0_97]) ).
cnf(c_0_106,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4 ).
cnf(c_0_107,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_98,c_0_71]) ).
cnf(c_0_108,negated_conjecture,
( equalish(X1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_99]) ).
cnf(c_0_109,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_100]),c_0_51])]),c_0_101]) ).
cnf(c_0_110,axiom,
~ equalish(e_4,e_6),
e_4_is_not_e_6 ).
cnf(c_0_111,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ greater(e_4,X1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_102]) ).
cnf(c_0_112,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_113,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_78])]) ).
cnf(c_0_114,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_5,e_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_71]),c_0_106]) ).
cnf(c_0_115,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1 ).
cnf(c_0_116,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_107]) ).
cnf(c_0_117,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_118,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_68])]) ).
cnf(c_0_119,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_113]) ).
cnf(c_0_120,axiom,
~ equalish(e_6,e_3),
e_6_is_not_e_3 ).
cnf(c_0_121,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_114]),c_0_51])]),c_0_115]) ).
cnf(c_0_122,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5 ).
cnf(c_0_123,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_116,c_0_71]) ).
cnf(c_0_124,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_117]) ).
cnf(c_0_125,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_87,c_0_49]) ).
cnf(c_0_126,plain,
( product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| product(X1,e_2,e_5)
| product(X1,e_2,e_6)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_127,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_118]) ).
cnf(c_0_128,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_117]),c_0_120]) ).
cnf(c_0_129,axiom,
~ equalish(e_6,e_2),
e_6_is_not_e_2 ).
cnf(c_0_130,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_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_56,c_0_121]),c_0_122]) ).
cnf(c_0_131,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3 ).
cnf(c_0_132,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,X1)
| ~ product(e_5,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_123]) ).
cnf(c_0_133,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_126,c_0_49]) ).
cnf(c_0_135,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_136,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_130]),c_0_131]) ).
cnf(c_0_137,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2 ).
cnf(c_0_138,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_71]) ).
cnf(c_0_139,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_133]),c_0_129]) ).
cnf(c_0_140,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_124,c_0_134]) ).
cnf(c_0_141,negated_conjecture,
( equalish(X1,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_135]) ).
cnf(c_0_142,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_136]),c_0_137]) ).
cnf(c_0_143,negated_conjecture,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_138]),c_0_115]) ).
cnf(c_0_144,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_140]),c_0_129]) ).
cnf(c_0_146,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_58]) ).
cnf(c_0_147,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_5,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_99]) ).
cnf(c_0_148,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_143]),c_0_51])]),c_0_115]) ).
cnf(c_0_149,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_125]) ).
cnf(c_0_150,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_145]) ).
cnf(c_0_151,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_1,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_59,c_0_146]) ).
cnf(c_0_152,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_147,c_0_125]) ).
cnf(c_0_153,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_148]),c_0_122]) ).
cnf(c_0_154,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_149]),c_0_101]) ).
cnf(c_0_155,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_134]) ).
cnf(c_0_156,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_151,c_0_109]) ).
cnf(c_0_157,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_152]),c_0_120]) ).
cnf(c_0_158,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_153]),c_0_131]) ).
cnf(c_0_159,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_50,c_0_154]) ).
cnf(c_0_160,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_155]),c_0_75]) ).
cnf(c_0_161,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4 ).
cnf(c_0_162,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_156]),c_0_101]) ).
cnf(c_0_163,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5 ).
cnf(c_0_164,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_157]),c_0_129]) ).
cnf(c_0_165,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_158]),c_0_137]) ).
cnf(c_0_166,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).
cnf(c_0_167,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_162]),c_0_163]) ).
cnf(c_0_168,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4 ).
cnf(c_0_169,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_164]) ).
cnf(c_0_170,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_165]),c_0_58]) ).
cnf(c_0_171,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_113]) ).
cnf(c_0_172,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_166]),c_0_51])]),c_0_106]) ).
cnf(c_0_173,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_167]),c_0_51])]),c_0_168]) ).
cnf(c_0_174,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_169,c_0_125]) ).
cnf(c_0_175,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_170]),c_0_106]) ).
cnf(c_0_176,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2 ).
cnf(c_0_177,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_178,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_59,c_0_173]) ).
cnf(c_0_179,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_174]),c_0_101]) ).
cnf(c_0_180,negated_conjecture,
( equalish(X1,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_165]) ).
cnf(c_0_181,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_175]),c_0_176]) ).
cnf(c_0_182,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_177]) ).
cnf(c_0_183,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_178,c_0_109]) ).
cnf(c_0_184,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_4)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_179]) ).
cnf(c_0_185,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_163]) ).
cnf(c_0_186,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_109]) ).
cnf(c_0_187,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_115]) ).
cnf(c_0_188,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_189,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_190,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_191,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_5,e_1,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_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_147,c_0_188]) ).
cnf(c_0_192,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_189]),c_0_51])]),c_0_106]) ).
cnf(c_0_193,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_171,c_0_190]) ).
cnf(c_0_194,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2 ).
cnf(c_0_195,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_5,e_1,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_5,e_4)
| product(e_1,e_5,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_191]),c_0_120]) ).
cnf(c_0_196,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_171,c_0_192]) ).
cnf(c_0_197,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_193]),c_0_51])]),c_0_194]) ).
cnf(c_0_198,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_5,e_1,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_5,e_4)
| product(e_1,e_5,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_195]),c_0_129]) ).
cnf(c_0_199,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_196]) ).
cnf(c_0_200,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_197]),c_0_58]) ).
cnf(c_0_201,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,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_5,e_4)
| product(e_1,e_5,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_198]) ).
cnf(c_0_202,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_199,c_0_185]) ).
cnf(c_0_203,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_200]),c_0_106]) ).
cnf(c_0_204,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,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_5,e_4)
| product(e_1,e_5,e_5)
| product(e_2,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_201,c_0_188]) ).
cnf(c_0_205,negated_conjecture,
( equalish(X1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_117]) ).
cnf(c_0_206,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_202]),c_0_131]) ).
cnf(c_0_207,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_203]),c_0_176]) ).
cnf(c_0_208,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_204]),c_0_115]) ).
cnf(c_0_209,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_153]),c_0_58]) ).
cnf(c_0_210,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_206]),c_0_163]) ).
cnf(c_0_211,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_207]) ).
cnf(c_0_212,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_208]),c_0_51])]),c_0_122]) ).
cnf(c_0_213,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_209]),c_0_129]) ).
cnf(c_0_214,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_210]),c_0_106]) ).
cnf(c_0_215,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3 ).
cnf(c_0_216,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_217,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_152]) ).
cnf(c_0_218,negated_conjecture,
( equalish(X1,e_6)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_213]) ).
cnf(c_0_219,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_214]),c_0_215]) ).
cnf(c_0_220,axiom,
~ equalish(e_3,e_6),
e_3_is_not_e_6 ).
cnf(c_0_221,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_118]) ).
cnf(c_0_222,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_171,c_0_216]) ).
cnf(c_0_223,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_217,c_0_125]) ).
cnf(c_0_224,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).
cnf(c_0_225,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_226,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_227,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_223]),c_0_129]) ).
cnf(c_0_228,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_219]) ).
cnf(c_0_229,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_224]),c_0_137]) ).
cnf(c_0_230,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_207]) ).
cnf(c_0_231,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_226]),c_0_122]) ).
cnf(c_0_232,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_227]) ).
cnf(c_0_233,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_131]) ).
cnf(c_0_234,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_113]) ).
cnf(c_0_235,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_137]) ).
cnf(c_0_236,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_232,c_0_125]) ).
cnf(c_0_237,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_233]),c_0_106]) ).
cnf(c_0_238,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_168]) ).
cnf(c_0_239,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_236]),c_0_101]) ).
cnf(c_0_240,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_237]),c_0_176]) ).
cnf(c_0_241,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3 ).
cnf(c_0_242,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_238]),c_0_215]) ).
cnf(c_0_243,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_239]) ).
cnf(c_0_244,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_240]),c_0_241]) ).
cnf(c_0_245,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_242]) ).
cnf(c_0_246,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_247,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_245,c_0_172]) ).
cnf(c_0_248,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_219]) ).
cnf(c_0_249,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_246]),c_0_51])]),c_0_106]) ).
cnf(c_0_250,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| 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_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_247]) ).
cnf(c_0_251,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_252,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_186,c_0_250]) ).
cnf(c_0_253,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_244]) ).
cnf(c_0_254,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_221,c_0_251]) ).
cnf(c_0_255,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_245,c_0_252]) ).
cnf(c_0_256,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_257,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_242]) ).
cnf(c_0_258,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_255]),c_0_51])]),c_0_194]) ).
cnf(c_0_259,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_256]),c_0_115]) ).
cnf(c_0_260,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| 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_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_131]) ).
cnf(c_0_261,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_147,c_0_134]) ).
cnf(c_0_262,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_259]),c_0_163]) ).
cnf(c_0_263,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_260]),c_0_106]) ).
cnf(c_0_264,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_261]) ).
cnf(c_0_265,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_219]) ).
cnf(c_0_266,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_262]),c_0_106]) ).
cnf(c_0_267,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_263]),c_0_176]) ).
cnf(c_0_268,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_264,c_0_134]) ).
cnf(c_0_269,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_176]) ).
cnf(c_0_270,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_242]) ).
cnf(c_0_271,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_267]),c_0_241]) ).
cnf(c_0_272,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_268]),c_0_129]) ).
cnf(c_0_273,negated_conjecture,
( equalish(X1,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_269]) ).
cnf(c_0_274,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_176]) ).
cnf(c_0_275,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_6) ),
inference(spm,[status(thm)],[c_0_59,c_0_272]) ).
cnf(c_0_276,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_118]) ).
cnf(c_0_277,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_163]) ).
cnf(c_0_278,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_275,c_0_134]) ).
cnf(c_0_279,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_131]) ).
cnf(c_0_280,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_278]),c_0_75]) ).
cnf(c_0_281,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_279]),c_0_241]) ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_280]) ).
cnf(c_0_283,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_281]),c_0_194]) ).
cnf(c_0_284,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_285,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_284]) ).
cnf(c_0_286,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_285,c_0_283]) ).
cnf(c_0_287,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_5,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_171,c_0_286]) ).
cnf(c_0_288,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_283]) ).
cnf(c_0_289,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_287]),c_0_51])]),c_0_194]) ).
cnf(c_0_290,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_291,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_290]),c_0_115]) ).
cnf(c_0_292,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5 ).
cnf(c_0_293,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_291]),c_0_292]) ).
cnf(c_0_294,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_293]) ).
cnf(c_0_295,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_5)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_294,c_0_212]) ).
cnf(c_0_296,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_5)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_171,c_0_295]) ).
cnf(c_0_297,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_221,c_0_296]) ).
cnf(c_0_298,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_5)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_293]) ).
cnf(c_0_299,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_297]),c_0_122]) ).
cnf(c_0_300,negated_conjecture,
( equalish(X1,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,X1,e_5) ),
inference(spm,[status(thm)],[c_0_50,c_0_109]) ).
cnf(c_0_301,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_137]) ).
cnf(c_0_302,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_75]) ).
cnf(c_0_303,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_302]),c_0_106]) ).
cnf(c_0_304,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_303]),c_0_176]) ).
cnf(c_0_305,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_304]) ).
cnf(c_0_306,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_305,c_0_212]) ).
cnf(c_0_307,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_171,c_0_306]) ).
cnf(c_0_308,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_221,c_0_307]) ).
cnf(c_0_309,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_50,c_0_301]) ).
cnf(c_0_310,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_308]),c_0_122]) ).
cnf(c_0_311,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_194]) ).
cnf(c_0_312,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_311]),c_0_168]) ).
cnf(c_0_313,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_312]),c_0_215]) ).
cnf(c_0_314,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_313]) ).
cnf(c_0_315,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_314,c_0_286]) ).
cnf(c_0_316,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_313]) ).
cnf(c_0_317,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_315]),c_0_51])]),c_0_194]) ).
cnf(c_0_318,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_131]) ).
cnf(c_0_319,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_318]),c_0_292]) ).
cnf(c_0_320,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_319]),c_0_241]) ).
cnf(c_0_321,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_320]),c_0_75]) ).
cnf(c_0_322,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_321]),c_0_106]) ).
cnf(c_0_323,negated_conjecture,
( equalish(X1,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,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_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_198]) ).
cnf(c_0_324,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_322]),c_0_176]) ).
cnf(c_0_325,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,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_5,e_4)
| product(e_1,e_5,e_5)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_207]),c_0_110]) ).
cnf(c_0_326,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_324]),c_0_241]) ).
cnf(c_0_327,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_325]),c_0_115]) ).
cnf(c_0_328,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_326]),c_0_131]) ).
cnf(c_0_329,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_327]),c_0_51])]),c_0_122]) ).
cnf(c_0_330,negated_conjecture,
product(e_2,e_4,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_328]),c_0_194]) ).
cnf(c_0_331,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_329]) ).
cnf(c_0_332,negated_conjecture,
( product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_330]) ).
cnf(c_0_333,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_330]),c_0_161]) ).
cnf(c_0_334,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]) ).
cnf(c_0_335,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_334,c_0_207]) ).
cnf(c_0_336,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_171,c_0_335]) ).
cnf(c_0_337,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_5,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_336]) ).
cnf(c_0_338,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_337]),c_0_122]) ).
cnf(c_0_339,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_338]),c_0_137]) ).
cnf(c_0_340,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_339]),c_0_168]) ).
cnf(c_0_341,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_154]) ).
cnf(c_0_342,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_340]),c_0_215]) ).
cnf(c_0_343,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_330]),c_0_75]) ).
cnf(c_0_344,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_342]) ).
cnf(c_0_345,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_343]),c_0_51])]),c_0_106]) ).
cnf(c_0_346,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,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_4,e_2) ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_347,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X2,X3,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_348,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_346]) ).
cnf(c_0_349,negated_conjecture,
( product(X1,X1,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_347]) ).
cnf(c_0_350,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_348]),c_0_106]) ).
cnf(c_0_351,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_6,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_59,c_0_97]) ).
cnf(c_0_352,negated_conjecture,
( equalish(X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_349]) ).
cnf(c_0_353,plain,
( product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| product(e_6,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_87,c_0_53]) ).
cnf(c_0_354,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_342]) ).
cnf(c_0_355,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_350]),c_0_176]) ).
cnf(c_0_356,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_6,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_351,c_0_109]) ).
cnf(c_0_357,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_330]),c_0_161]) ).
cnf(c_0_358,plain,
( product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_353]),c_0_110]) ).
cnf(c_0_359,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_342]) ).
cnf(c_0_360,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_241]) ).
cnf(c_0_361,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_6,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_362,plain,
( equalish(X1,e_6)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_358]) ).
cnf(c_0_363,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_176]) ).
cnf(c_0_364,negated_conjecture,
( equalish(X1,e_6)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_361]) ).
cnf(c_0_365,negated_conjecture,
( equalish(X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_330]) ).
cnf(c_0_366,negated_conjecture,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_220]) ).
cnf(c_0_367,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_363]) ).
cnf(c_0_368,negated_conjecture,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_363]),c_0_220]) ).
cnf(c_0_369,negated_conjecture,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_129]) ).
cnf(c_0_370,axiom,
~ equalish(e_6,e_4),
e_6_is_not_e_4 ).
cnf(c_0_371,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_131]) ).
cnf(c_0_372,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_345]) ).
cnf(c_0_373,negated_conjecture,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_369]),c_0_51])]),c_0_370]) ).
cnf(c_0_374,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_371]),c_0_51])]),c_0_168]) ).
cnf(c_0_375,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_6,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_90]) ).
cnf(c_0_376,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_374]),c_0_115]) ).
cnf(c_0_377,negated_conjecture,
( equalish(X1,e_6)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_375]) ).
cnf(c_0_378,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_376]) ).
cnf(c_0_379,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_58]) ).
cnf(c_0_380,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_379]) ).
cnf(c_0_381,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_380]),c_0_106]) ).
cnf(c_0_382,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_332]),c_0_131]) ).
cnf(c_0_383,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_381]),c_0_176]) ).
cnf(c_0_384,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_239]) ).
cnf(c_0_385,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_386,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_330]),c_0_75]) ).
cnf(c_0_387,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_385]) ).
cnf(c_0_388,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_386]),c_0_51])]),c_0_106]) ).
cnf(c_0_389,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_390,negated_conjecture,
( equalish(X1,e_6)
| product(e_6,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_373]) ).
cnf(c_0_391,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_389]) ).
cnf(c_0_392,negated_conjecture,
( product(e_6,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_374]),c_0_58]) ).
cnf(c_0_393,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_385]) ).
cnf(c_0_394,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_90]) ).
cnf(c_0_395,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_131]) ).
cnf(c_0_396,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_395]),c_0_115]) ).
cnf(c_0_397,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_396]),c_0_131]) ).
cnf(c_0_398,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_397]),c_0_106]) ).
cnf(c_0_399,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_398]),c_0_176]) ).
cnf(c_0_400,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_382,c_0_399]) ).
cnf(c_0_401,negated_conjecture,
product(e_2,e_1,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_400]),c_0_241]) ).
cnf(c_0_402,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_401]),c_0_401])]),c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP127-2.006 : 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
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 23:20:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 13.29/13.39 % Version : CSE_E---1.5
% 13.29/13.39 % Problem : theBenchmark.p
% 13.29/13.39 % Proof found
% 13.29/13.39 % SZS status Theorem for theBenchmark.p
% 13.29/13.39 % SZS output start Proof
% See solution above
% 13.36/13.41 % Total time : 12.821000 s
% 13.36/13.41 % SZS output end Proof
% 13.36/13.41 % Total time : 12.825000 s
%------------------------------------------------------------------------------