%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP133-2.004 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 : Tue May 5 04:24:31 PM UTC 2026
% Result : Satisfiable 1.97s 1.91s
% Output : Saturation 1.97s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(no_redundancy,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
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)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(qg3,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(c_0_31,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy,
[final] ).
cnf(c_0_32,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_33,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_34,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_35,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_36,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[final] ).
cnf(c_0_37,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_38,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_33]),
[final] ).
cnf(c_0_39,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_40,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_41,plain,
( product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]),
[final] ).
cnf(c_0_42,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_36,c_0_37]),
[final] ).
cnf(c_0_43,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_38,c_0_37]),
[final] ).
cnf(c_0_44,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_45,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]),
[final] ).
cnf(c_0_46,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_42]),c_0_43]),
[final] ).
cnf(c_0_47,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_44]),
[final] ).
cnf(c_0_48,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_49,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
qg3,
[final] ).
cnf(c_0_50,plain,
( product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_51,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_52,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_47,c_0_48]),
[final] ).
cnf(c_0_53,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_54,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_55,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_51]),c_0_52]) ).
cnf(c_0_56,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_53]),
[final] ).
cnf(c_0_57,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_55]) ).
cnf(c_0_59,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_46]),
[final] ).
cnf(c_0_60,plain,
( product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_51]),
[final] ).
cnf(c_0_61,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_55]),c_0_58]) ).
cnf(c_0_62,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_59]),
[final] ).
cnf(c_0_63,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) ),
inference(spm,[status(thm)],[c_0_60,c_0_35]) ).
cnf(c_0_64,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_65,negated_conjecture,
( product(e_2,e_1,e_2)
| product(X1,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_61]) ).
cnf(c_0_66,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_53]),
[final] ).
cnf(c_0_68,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_63]),c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_63]) ).
cnf(c_0_70,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_69]) ).
cnf(c_0_71,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_70,c_0_61]) ).
cnf(c_0_72,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_69]) ).
cnf(c_0_73,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_74,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_71]) ).
cnf(c_0_75,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_76,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_1,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_72]) ).
cnf(c_0_77,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_53]),
[final] ).
cnf(c_0_78,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_74]) ).
cnf(c_0_79,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_75]),
[final] ).
cnf(c_0_80,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_61]) ).
cnf(c_0_81,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_82,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_40]),
[final] ).
cnf(c_0_83,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_80]),c_0_81]) ).
cnf(c_0_84,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_40]),
[final] ).
cnf(c_0_85,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_86,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_1,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_71]) ).
cnf(c_0_87,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_88,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_89,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_72]) ).
cnf(c_0_90,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),
[final] ).
cnf(c_0_91,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_40]),
[final] ).
cnf(c_0_92,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_61]) ).
cnf(c_0_93,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_53]),
[final] ).
cnf(c_0_94,plain,
( product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_88]),
[final] ).
cnf(c_0_95,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_96,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(X1,e_2,e_2)
| ~ product(e_2,e_1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_89]),c_0_90]) ).
cnf(c_0_97,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_67]),
[final] ).
cnf(c_0_98,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_100,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_61]),c_0_97]) ).
cnf(c_0_101,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_98]) ).
cnf(c_0_102,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_53]),
[final] ).
cnf(c_0_103,negated_conjecture,
( product(e_2,e_1,e_2)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_100]),c_0_42]) ).
cnf(c_0_105,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_46]),
[final] ).
cnf(c_0_106,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_40]),
[final] ).
cnf(c_0_107,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_53]),
[final] ).
cnf(c_0_109,plain,
( product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_95]),
[final] ).
cnf(c_0_110,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_1,e_4,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_105]),
[final] ).
cnf(c_0_111,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) ),
inference(spm,[status(thm)],[c_0_94,c_0_35]) ).
cnf(c_0_112,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_61]) ).
cnf(c_0_113,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_107]),c_0_102]) ).
cnf(c_0_114,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_46]),
[final] ).
cnf(c_0_115,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_109,c_0_95]) ).
cnf(c_0_116,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_112]),c_0_113]) ).
cnf(c_0_118,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_40]),
[final] ).
cnf(c_0_119,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_109,c_0_35]) ).
cnf(c_0_120,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_114]),
[final] ).
cnf(c_0_121,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(X1,e_1,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_92]),c_0_81]) ).
cnf(c_0_123,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_105]),c_0_111]) ).
cnf(c_0_124,negated_conjecture,
( product(e_2,e_1,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_117]) ).
cnf(c_0_125,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_126,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_120,c_0_119]) ).
cnf(c_0_127,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_115]),c_0_43]) ).
cnf(c_0_128,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_122]) ).
cnf(c_0_129,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_100]) ).
cnf(c_0_131,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_100]),c_0_126]) ).
cnf(c_0_132,plain,
( product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_46]),
[final] ).
cnf(c_0_133,plain,
( product(e_1,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_46]),
[final] ).
cnf(c_0_134,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_100]),
[final] ).
cnf(c_0_135,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_122]),c_0_102]),
[final] ).
cnf(c_0_136,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_127]) ).
cnf(c_0_137,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_83]) ).
cnf(c_0_138,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_100]),
[final] ).
cnf(c_0_139,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_88]) ).
cnf(c_0_140,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_105]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_142,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_131]) ).
cnf(c_0_143,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) ),
inference(spm,[status(thm)],[c_0_41,c_0_88]) ).
cnf(c_0_144,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_132]),
[final] ).
cnf(c_0_145,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_133]),
[final] ).
cnf(c_0_146,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_51]) ).
cnf(c_0_147,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_134]),c_0_135]),
[final] ).
cnf(c_0_148,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_127]) ).
cnf(c_0_149,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_137]) ).
cnf(c_0_150,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_151,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_111]),
[final] ).
cnf(c_0_152,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_61]),
[final] ).
cnf(c_0_153,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_141]) ).
cnf(c_0_154,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_137]),c_0_134]) ).
cnf(c_0_155,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_143]),c_0_144]),
[final] ).
cnf(c_0_156,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) ),
inference(spm,[status(thm)],[c_0_41,c_0_95]) ).
cnf(c_0_157,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_143]),c_0_82]),
[final] ).
cnf(c_0_158,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_88]) ).
cnf(c_0_159,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_160,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_148]) ).
cnf(c_0_161,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_134]) ).
cnf(c_0_162,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_117]),
[final] ).
cnf(c_0_163,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_111]) ).
cnf(c_0_164,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_45]),
[final] ).
cnf(c_0_165,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_105]),
[final] ).
cnf(c_0_166,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_167,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_168,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(X1,e_1,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_158]) ).
cnf(c_0_169,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_159]) ).
cnf(c_0_170,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]) ).
cnf(c_0_171,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_146]),c_0_164]) ).
cnf(c_0_172,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_111]),c_0_77]),
[final] ).
cnf(c_0_173,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_166]),c_0_117]) ).
cnf(c_0_174,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_167]) ).
cnf(c_0_175,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_158]),c_0_42]) ).
cnf(c_0_176,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_154]) ).
cnf(c_0_177,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_52]),c_0_152]) ).
cnf(c_0_178,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_171,c_0_147]) ).
cnf(c_0_179,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_75]),
[final] ).
cnf(c_0_180,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_181,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_182,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_183,plain,
( product(e_2,e_4,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_178]) ).
cnf(c_0_184,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_141]) ).
cnf(c_0_185,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_181]),c_0_84]) ).
cnf(c_0_186,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_172,c_0_182]) ).
cnf(c_0_187,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_183,c_0_130]) ).
cnf(c_0_188,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_1)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_184]) ).
cnf(c_0_189,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_185,c_0_61]) ).
cnf(c_0_190,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_133]),
[final] ).
cnf(c_0_191,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_186]),c_0_187]) ).
cnf(c_0_192,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_193,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_143]) ).
cnf(c_0_194,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_143]),c_0_106]),
[final] ).
cnf(c_0_195,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_191]) ).
cnf(c_0_196,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_192]),c_0_117]) ).
cnf(c_0_197,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_100]),c_0_194]),
[final] ).
cnf(c_0_198,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_51]) ).
cnf(c_0_199,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_195,c_0_189]) ).
cnf(c_0_200,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_196]) ).
cnf(c_0_201,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_61]),
[final] ).
cnf(c_0_202,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_197]),
[final] ).
cnf(c_0_203,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_173]) ).
cnf(c_0_204,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(X1,e_1,e_2)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_198]) ).
cnf(c_0_205,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_199]),c_0_117]) ).
cnf(c_0_206,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_200,c_0_173]) ).
cnf(c_0_207,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_201]),
[final] ).
cnf(c_0_208,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_202,c_0_196]) ).
cnf(c_0_209,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_203,c_0_196]) ).
cnf(c_0_210,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_204,c_0_198]) ).
cnf(c_0_211,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_1,e_2)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_205]) ).
cnf(c_0_212,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_206]) ).
cnf(c_0_213,negated_conjecture,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_201]),c_0_207]),c_0_45]),
[final] ).
cnf(c_0_214,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_85,c_0_75]),
[final] ).
cnf(c_0_215,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_114]),
[final] ).
cnf(c_0_216,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_1)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_184]) ).
cnf(c_0_217,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_208]),c_0_209]) ).
cnf(c_0_218,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_210]),c_0_56]) ).
cnf(c_0_219,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_211,c_0_182]) ).
cnf(c_0_220,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]),
[final] ).
cnf(c_0_221,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_197]),
[final] ).
cnf(c_0_222,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_119]) ).
cnf(c_0_223,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_224,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).
cnf(c_0_225,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_99,c_0_75]),
[final] ).
cnf(c_0_226,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_206]),c_0_220]) ).
cnf(c_0_227,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_108,c_0_61]),
[final] ).
cnf(c_0_228,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_175]) ).
cnf(c_0_229,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_111]) ).
cnf(c_0_230,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_46]),c_0_59]) ).
cnf(c_0_231,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_223]) ).
cnf(c_0_232,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_223]),c_0_147]) ).
cnf(c_0_233,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_224]),c_0_225]),
[final] ).
cnf(c_0_234,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_226]),c_0_67]),
[final] ).
cnf(c_0_235,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_109,c_0_51]) ).
cnf(c_0_236,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_227]),c_0_67]),
[final] ).
cnf(c_0_237,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_228]) ).
cnf(c_0_238,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_189]) ).
cnf(c_0_239,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_119]),c_0_172]) ).
cnf(c_0_240,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_230]),c_0_77]) ).
cnf(c_0_241,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_242,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_233]),
[final] ).
cnf(c_0_243,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).
cnf(c_0_244,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_237,c_0_61]) ).
cnf(c_0_245,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_238,c_0_161]) ).
cnf(c_0_246,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_239]),c_0_240]),c_0_67]) ).
cnf(c_0_247,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_161]) ).
cnf(c_0_248,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_182]),c_0_108]),
[final] ).
cnf(c_0_249,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(X1,e_1,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_235]) ).
cnf(c_0_250,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_231,c_0_241]) ).
cnf(c_0_251,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_225]),
[final] ).
cnf(c_0_252,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_130]),
[final] ).
cnf(c_0_253,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_220]),
[final] ).
cnf(c_0_254,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_108,c_0_201]),
[final] ).
cnf(c_0_255,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_244]),c_0_93]) ).
cnf(c_0_256,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_245]),c_0_117]) ).
cnf(c_0_257,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_246,c_0_130]) ).
cnf(c_0_258,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_106]),c_0_108]),
[final] ).
cnf(c_0_259,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_43]),c_0_251]) ).
cnf(c_0_260,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_252]),
[final] ).
cnf(c_0_261,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_235]),c_0_67]),c_0_254]),
[final] ).
cnf(c_0_262,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_263,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_257]) ).
cnf(c_0_264,negated_conjecture,
( product(e_4,e_4,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_258]),c_0_108]),
[final] ).
cnf(c_0_265,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_250]) ).
cnf(c_0_266,negated_conjecture,
( product(e_2,e_3,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_259]),c_0_260]),
[final] ).
cnf(c_0_267,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_223]),c_0_261]) ).
cnf(c_0_268,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_196]),c_0_84]),
[final] ).
cnf(c_0_269,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_262]) ).
cnf(c_0_270,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_131]) ).
cnf(c_0_271,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_108]),
[final] ).
cnf(c_0_272,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]),c_0_268]),
[final] ).
cnf(c_0_273,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_154]) ).
cnf(c_0_274,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_269,c_0_262]) ).
cnf(c_0_275,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_214,c_0_100]),
[final] ).
cnf(c_0_276,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_91,c_0_131]) ).
cnf(c_0_277,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_243]),c_0_271]) ).
cnf(c_0_278,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_272]),c_0_225]),
[final] ).
cnf(c_0_279,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_132]),
[final] ).
cnf(c_0_280,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]) ).
cnf(c_0_281,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_132]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_259]),c_0_271]) ).
cnf(c_0_283,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_276,c_0_127]) ).
cnf(c_0_284,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_277,c_0_278]),
[final] ).
cnf(c_0_285,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_281]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_274]),c_0_84]),
[final] ).
cnf(c_0_287,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_282]),c_0_106]),
[final] ).
cnf(c_0_288,negated_conjecture,
( product(e_3,e_3,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_148]),c_0_82]),
[final] ).
cnf(c_0_289,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_127]) ).
cnf(c_0_290,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_283]),c_0_84]),
[final] ).
cnf(c_0_291,negated_conjecture,
( product(e_1,e_3,e_2)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_284]),
[final] ).
cnf(c_0_292,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_156]),c_0_286]) ).
cnf(c_0_293,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_287]),c_0_288]),
[final] ).
cnf(c_0_294,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_277]) ).
cnf(c_0_295,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_289,c_0_267]) ).
cnf(c_0_296,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_290,c_0_266]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]) ).
cnf(c_0_298,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]) ).
cnf(c_0_299,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_1,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_255,c_0_170]) ).
cnf(c_0_300,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_297]),c_0_179]),
[final] ).
cnf(c_0_301,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_75]),
[final] ).
cnf(c_0_302,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_3,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_298]) ).
cnf(c_0_303,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_280]) ).
cnf(c_0_304,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_3)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_299]) ).
cnf(c_0_305,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_300]),c_0_301]),c_0_91]),
[final] ).
cnf(c_0_306,negated_conjecture,
( product(e_3,e_3,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_213]),c_0_214]),
[final] ).
cnf(c_0_307,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_202,c_0_274]) ).
cnf(c_0_308,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_303,c_0_274]) ).
cnf(c_0_309,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_304,c_0_299]) ).
cnf(c_0_310,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_210,c_0_278]) ).
cnf(c_0_311,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(spm,[status(thm)],[c_0_305,c_0_306]),
[final] ).
cnf(c_0_312,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_307]),c_0_308]) ).
cnf(c_0_313,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_172,c_0_280]) ).
cnf(c_0_314,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_309]) ).
cnf(c_0_315,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_292]),c_0_67]),
[final] ).
cnf(c_0_316,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_280]),c_0_108]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_310,c_0_311]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_256]),c_0_56]),
[final] ).
cnf(c_0_319,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_312]) ).
cnf(c_0_320,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_313]),c_0_130]) ).
cnf(c_0_321,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_263,c_0_262]) ).
cnf(c_0_322,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_243]),c_0_252]) ).
cnf(c_0_323,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_4)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_277]) ).
cnf(c_0_324,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_315]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_289,c_0_243]) ).
cnf(c_0_326,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_316]),
[final] ).
cnf(c_0_327,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_317]),c_0_56]),
[final] ).
cnf(c_0_328,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_108,c_0_318]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_330,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_321]) ).
cnf(c_0_331,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_176,c_0_322]) ).
cnf(c_0_332,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_148]),c_0_162]) ).
cnf(c_0_333,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_156]) ).
cnf(c_0_334,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_95]) ).
cnf(c_0_335,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_315]),c_0_294]),c_0_84]),
[final] ).
cnf(c_0_336,negated_conjecture,
( product(e_3,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]),c_0_84]),
[final] ).
cnf(c_0_337,negated_conjecture,
product(e_3,e_4,e_2),
inference(sr,[status(thm)],[c_0_117,c_0_327]),
[final] ).
cnf(c_0_338,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_318]),
[final] ).
cnf(c_0_339,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(X1,e_4,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_243]) ).
cnf(c_0_340,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_56]),
[final] ).
cnf(c_0_341,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_330,c_0_322]) ).
cnf(c_0_342,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_331]) ).
cnf(c_0_343,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_332,c_0_327]),
[final] ).
cnf(c_0_344,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_345,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_335]),c_0_336]),
[final] ).
cnf(c_0_346,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_93,c_0_337]),
[final] ).
cnf(c_0_347,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_317]),c_0_338]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_67]),c_0_179]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_202,c_0_341]) ).
cnf(c_0_350,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_341]) ).
cnf(c_0_351,negated_conjecture,
( product(e_3,e_3,e_3)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_343]),
[final] ).
cnf(c_0_352,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_344,c_0_345]),c_0_346]),c_0_347]) ).
cnf(c_0_353,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_108,c_0_210]) ).
cnf(c_0_354,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_284]),
[final] ).
cnf(c_0_355,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_348]),
[final] ).
cnf(c_0_356,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_349]),c_0_350]) ).
cnf(c_0_357,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_282]),c_0_84]),
[final] ).
cnf(c_0_358,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_293]) ).
cnf(c_0_359,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_61,c_0_327]),
[final] ).
cnf(c_0_360,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_278]),c_0_355]),c_0_45]),
[final] ).
cnf(c_0_361,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_356,c_0_327]),
[final] ).
cnf(c_0_362,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_264]),
[final] ).
cnf(c_0_363,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_172,c_0_357]),
[final] ).
cnf(c_0_364,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_358]),c_0_359])]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_69,c_0_360]) ).
cnf(c_0_366,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_317]),c_0_45]),
[final] ).
cnf(c_0_367,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_361]),c_0_362]),
[final] ).
cnf(c_0_368,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_348]),
[final] ).
cnf(c_0_369,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_370,negated_conjecture,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[c_0_365,c_0_366]),
[final] ).
cnf(c_0_371,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_178]),c_0_106]),
[final] ).
cnf(c_0_372,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_175,c_0_367]),
[final] ).
cnf(c_0_373,negated_conjecture,
~ product(e_1,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_317]),c_0_368]),
[final] ).
cnf(c_0_374,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_4)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_274]) ).
cnf(c_0_375,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_2,e_1,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_257]) ).
cnf(c_0_376,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_320]) ).
cnf(c_0_377,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_369]),c_0_370])]),
[final] ).
cnf(c_0_378,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_246,c_0_69]) ).
cnf(c_0_379,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_373]),
[final] ).
cnf(c_0_380,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_374,c_0_280]) ).
cnf(c_0_381,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_312]),c_0_376]) ).
cnf(c_0_382,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_377]),
[final] ).
cnf(c_0_383,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_321,c_0_327]),
[final] ).
cnf(c_0_384,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_378,c_0_360]) ).
cnf(c_0_385,negated_conjecture,
( product(e_4,e_4,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_379]),
[final] ).
cnf(c_0_386,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_380,c_0_327]),
[final] ).
cnf(c_0_387,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_381]) ).
cnf(c_0_388,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(X1,e_1,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_156]) ).
cnf(c_0_389,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_341,c_0_327]),
[final] ).
cnf(c_0_390,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_73,c_0_75]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_382,c_0_383]),
[final] ).
cnf(c_0_392,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_228]),c_0_93]),
[final] ).
cnf(c_0_393,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_294,c_0_325]) ).
cnf(c_0_394,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_182]) ).
cnf(c_0_395,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_206]),c_0_147]) ).
cnf(c_0_396,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_384,c_0_366]),
[final] ).
cnf(c_0_397,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_385,c_0_284]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_256]) ).
cnf(c_0_399,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_386]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_387,c_0_381]) ).
cnf(c_0_401,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_271]),c_0_347]),c_0_389]) ).
cnf(c_0_402,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_56]),
[final] ).
cnf(c_0_403,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_392,c_0_161]) ).
cnf(c_0_404,negated_conjecture,
product(e_4,e_3,e_1),
inference(sr,[status(thm)],[c_0_100,c_0_327]),
[final] ).
cnf(c_0_405,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_357]),
[final] ).
cnf(c_0_406,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_109,c_0_88]) ).
cnf(c_0_407,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_393,c_0_278]) ).
cnf(c_0_408,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_202,c_0_205]) ).
cnf(c_0_409,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_394,c_0_205]) ).
cnf(c_0_410,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_212,c_0_395]) ).
cnf(c_0_411,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_396]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product(e_4,e_4,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_397]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_327]),c_0_366]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_400,c_0_327]),
[final] ).
cnf(c_0_415,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[c_0_401,c_0_402]),
[final] ).
cnf(c_0_416,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_380]) ).
cnf(c_0_417,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_132]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(X1,e_1,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_111]) ).
cnf(c_0_419,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_403,c_0_327]),c_0_367]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_329]) ).
cnf(c_0_421,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(X1,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_228]) ).
cnf(c_0_422,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(spm,[status(thm)],[c_0_82,c_0_404]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_108,c_0_310]) ).
cnf(c_0_424,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_405,c_0_213]),
[final] ).
cnf(c_0_425,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_406,c_0_293]) ).
cnf(c_0_426,negated_conjecture,
~ product(e_4,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_407]),c_0_82]),c_0_106]),
[final] ).
cnf(c_0_427,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_191]) ).
cnf(c_0_428,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_408]),c_0_409]) ).
cnf(c_0_429,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_212,c_0_410]) ).
cnf(c_0_430,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_411]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_414]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_415]),
[final] ).
cnf(c_0_433,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_416,c_0_380]) ).
cnf(c_0_434,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_289,c_0_272]) ).
cnf(c_0_435,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_417,c_0_156]) ).
cnf(c_0_436,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_373]),c_0_52]) ).
cnf(c_0_437,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_301,c_0_411]),
[final] ).
cnf(c_0_438,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_413]),c_0_293]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_341]) ).
cnf(c_0_440,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_3,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_420,c_0_329]) ).
cnf(c_0_441,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_379]),c_0_367]),c_0_422]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_357]),c_0_424]),
[final] ).
cnf(c_0_443,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_177,c_0_327]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_194,c_0_223]) ).
cnf(c_0_445,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_446,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_447,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_380]) ).
cnf(c_0_448,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_429]) ).
cnf(c_0_449,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_292]),c_0_77]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_430,c_0_431]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_381,c_0_327]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_432]),c_0_293]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_263,c_0_400]) ).
cnf(c_0_454,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_263,c_0_433]) ).
cnf(c_0_455,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_2,e_3,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_271]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_434,c_0_305]),
[final] ).
cnf(c_0_457,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_46]),c_0_59]) ).
cnf(c_0_458,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_436]),c_0_370])]),
[final] ).
cnf(c_0_459,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_437,c_0_438]),
[final] ).
cnf(c_0_460,negated_conjecture,
( product(e_4,e_4,e_3)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_106,c_0_372]),
[final] ).
cnf(c_0_461,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_334]) ).
cnf(c_0_462,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_439,c_0_329]) ).
cnf(c_0_463,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_400]) ).
cnf(c_0_464,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_440]) ).
cnf(c_0_465,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_433]) ).
cnf(c_0_466,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_428]) ).
cnf(c_0_467,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_217]) ).
cnf(c_0_468,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_161,c_0_327]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product(e_4,e_4,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_144,c_0_441]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_442,c_0_443]),
[final] ).
cnf(c_0_471,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_68]),c_0_67]) ).
cnf(c_0_472,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_325,c_0_278]) ).
cnf(c_0_473,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_127,c_0_305]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_2,e_1)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_444]),c_0_106]),
[final] ).
cnf(c_0_475,plain,
( product(e_4,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_445]),
[final] ).
cnf(c_0_476,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_134]),
[final] ).
cnf(c_0_477,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_227]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_170]),c_0_56]),
[final] ).
cnf(c_0_479,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_106,c_0_175]) ).
cnf(c_0_480,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_446]),c_0_261]) ).
cnf(c_0_481,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_447,c_0_322]) ).
cnf(c_0_482,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_266]),c_0_226]),c_0_268]),
[final] ).
cnf(c_0_483,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_390,c_0_233]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_194,c_0_219]) ).
cnf(c_0_485,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_449]),c_0_357]),
[final] ).
cnf(c_0_486,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_225,c_0_404]),
[final] ).
cnf(c_0_487,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_450]),c_0_367]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_451]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_386]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_383]),
[final] ).
cnf(c_0_491,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_437,c_0_452]),
[final] ).
cnf(c_0_492,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_453,c_0_327]),
[final] ).
cnf(c_0_493,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_454,c_0_327]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_455,c_0_251]),
[final] ).
cnf(c_0_495,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_442,c_0_456]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_411]),c_0_327]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_457,c_0_347]) ).
cnf(c_0_498,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_377]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_458]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_459,c_0_431]),
[final] ).
cnf(c_0_501,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_348]),
[final] ).
cnf(c_0_502,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_430,c_0_460]),
[final] ).
cnf(c_0_503,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_91,c_0_271]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_251]),c_0_345]),c_0_346]),c_0_327]),
[final] ).
cnf(c_0_505,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_334,c_0_345]) ).
cnf(c_0_506,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_462]),c_0_252]) ).
cnf(c_0_507,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_463,c_0_161]) ).
cnf(c_0_508,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_464,c_0_161]) ).
cnf(c_0_509,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_263,c_0_440]) ).
cnf(c_0_510,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_465,c_0_161]) ).
cnf(c_0_511,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_466,c_0_191]) ).
cnf(c_0_512,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_467,c_0_184]) ).
cnf(c_0_513,negated_conjecture,
( product(e_4,e_4,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_441]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product(e_4,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_468]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_308,c_0_327]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_2)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_316]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_2)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_264]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product(X1,e_2,e_2)
| ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_258]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_251]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_468]),
[final] ).
cnf(c_0_521,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_469]),
[final] ).
cnf(c_0_522,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_460]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_329,c_0_327]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_470]),c_0_327]),c_0_426]),
[final] ).
cnf(c_0_525,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_471,c_0_357]) ).
cnf(c_0_526,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_472,c_0_305]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_473]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_298,c_0_305]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_106]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_194,c_0_446]) ).
cnf(c_0_531,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_235]),c_0_477]),c_0_67]),
[final] ).
cnf(c_0_532,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_478]),
[final] ).
cnf(c_0_533,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_114]),
[final] ).
cnf(c_0_534,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_105]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_536,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_478]),c_0_56]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_481]),c_0_220]) ).
cnf(c_0_538,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_482]),c_0_483]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_484]),c_0_106]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_133]),
[final] ).
cnf(c_0_541,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_132]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_485]),
[final] ).
cnf(c_0_543,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_167,c_0_402]),
[final] ).
cnf(c_0_544,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_111,c_0_373]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_197]),c_0_327]),c_0_486]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_432]),c_0_293]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_3,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_487]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_3,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_450]),
[final] ).
cnf(c_0_549,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_411]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_488,c_0_364]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_489,c_0_364]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_357]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_3,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_490]),
[final] ).
cnf(c_0_554,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_491,c_0_431]),
[final] ).
cnf(c_0_555,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_133]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_492]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_493]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_494,c_0_495]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_415]),
[final] ).
cnf(c_0_560,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_432]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_496,c_0_460]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_497,c_0_402]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_498,c_0_431]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_382,c_0_284]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_499,c_0_284]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_500]),c_0_367]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_501,c_0_431]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_502,c_0_364]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_503,c_0_364]),
[final] ).
cnf(c_0_570,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_105]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_504]),
[final] ).
cnf(c_0_572,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_505,c_0_346]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_506,c_0_327]),
[final] ).
cnf(c_0_574,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_507,c_0_327]),
[final] ).
cnf(c_0_575,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_508,c_0_327]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_509,c_0_327]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_440,c_0_327]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_350,c_0_327]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_462,c_0_327]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_320,c_0_327]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_312,c_0_327]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_510,c_0_327]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_433,c_0_327]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_511,c_0_327]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_512,c_0_327]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_280,c_0_327]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_428,c_0_327]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_217,c_0_327]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_274,c_0_327]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_262,c_0_327]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_256,c_0_327]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_409,c_0_327]),
[final] ).
cnf(c_0_593,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_205,c_0_327]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_209,c_0_327]),
[final] ).
cnf(c_0_595,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_196,c_0_327]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_170,c_0_327]),
[final] ).
cnf(c_0_597,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_430,c_0_513]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_233]),c_0_426]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_515]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_370])]),c_0_373]),
[final] ).
cnf(c_0_601,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_370])]),c_0_373]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_46]),c_0_59]) ).
cnf(c_0_603,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_516,c_0_251]),
[final] ).
cnf(c_0_604,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_2,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_517,c_0_251]),
[final] ).
cnf(c_0_605,negated_conjecture,
( product(X1,e_2,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_518,c_0_251]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product(X1,e_4,e_4)
| ~ product(e_2,e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_233]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_519,c_0_495]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product(e_4,e_4,e_3)
| ~ product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_520]),c_0_327]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_521,c_0_468]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_522,c_0_468]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_523]),
[final] ).
cnf(c_0_612,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_515]),
[final] ).
cnf(c_0_613,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_148,c_0_305]),
[final] ).
cnf(c_0_614,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_524]),c_0_327]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_108,c_0_317]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_506]) ).
cnf(c_0_617,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_526]),c_0_360]) ).
cnf(c_0_618,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_527]),c_0_360]) ).
cnf(c_0_619,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_528]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product(e_1,e_2,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_365]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_407,c_0_305]),
[final] ).
cnf(c_0_622,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_529]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_297]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_4,e_4)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_530]),c_0_106]),
[final] ).
cnf(c_0_625,plain,
( product(e_4,e_3,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_445]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_3,e_3,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_300]),
[final] ).
cnf(c_0_627,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_301,c_0_529]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_531]),c_0_345]),c_0_84]),c_0_532]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_197]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_175]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_485]),c_0_91]),
[final] ).
cnf(c_0_632,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_119]),c_0_67]),
[final] ).
cnf(c_0_633,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_111]),c_0_93]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_535,c_0_278]) ).
cnf(c_0_635,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_2,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_536]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_485]),c_0_360]) ).
cnf(c_0_637,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_210]),c_0_45]) ).
cnf(c_0_638,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_133]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product(e_1,e_4,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_354]),c_0_93]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_537,c_0_278]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_480,c_0_278]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_243,c_0_278]),
[final] ).
cnf(c_0_643,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_159,c_0_538]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_227]),c_0_45]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_539,c_0_175]) ).
cnf(c_0_646,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_206]),c_0_79]),
[final] ).
cnf(c_0_647,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_50]),
[final] ).
cnf(c_0_648,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_50]),
[final] ).
cnf(c_0_649,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_59]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_371,c_0_175]) ).
cnf(c_0_651,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_156]),c_0_84]),
[final] ).
cnf(c_0_652,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_59]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_540,c_0_143]) ).
cnf(c_0_654,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_59]),
[final] ).
cnf(c_0_655,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_114]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_89]),c_0_281]),c_0_108]) ).
cnf(c_0_657,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_50]),
[final] ).
cnf(c_0_658,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_227]),
[final] ).
cnf(c_0_659,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_50]),
[final] ).
cnf(c_0_660,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_105]),
[final] ).
cnf(c_0_661,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_662,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_663,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_664,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_529]) ).
cnf(c_0_665,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_542,c_0_213]),
[final] ).
cnf(c_0_666,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_318]),
[final] ).
cnf(c_0_667,negated_conjecture,
( product(e_3,e_3,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_148]),c_0_77]),
[final] ).
cnf(c_0_668,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_543]),
[final] ).
cnf(c_0_669,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_544]),
[final] ).
cnf(c_0_670,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(X1,e_1,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_544]),
[final] ).
cnf(c_0_671,plain,
( product(e_3,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_543]),
[final] ).
cnf(c_0_672,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_545]),
[final] ).
cnf(c_0_673,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_363,c_0_546]),
[final] ).
cnf(c_0_674,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_417,c_0_415]),
[final] ).
cnf(c_0_675,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_1,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_415]),
[final] ).
cnf(c_0_676,negated_conjecture,
( product(e_3,e_2,e_3)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_377]),
[final] ).
cnf(c_0_677,negated_conjecture,
( product(e_3,e_2,e_3)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_547,c_0_364]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product(e_3,e_2,e_3)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_548,c_0_364]),
[final] ).
cnf(c_0_679,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_549,c_0_431]),
[final] ).
cnf(c_0_680,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_431]),
[final] ).
cnf(c_0_681,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_550]),
[final] ).
cnf(c_0_682,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_3,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_551]),
[final] ).
cnf(c_0_683,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_548,c_0_546]),
[final] ).
cnf(c_0_684,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_547,c_0_546]),
[final] ).
cnf(c_0_685,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_552,c_0_546]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_546]),
[final] ).
cnf(c_0_687,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_432]),
[final] ).
cnf(c_0_688,negated_conjecture,
( product(e_3,e_2,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_553,c_0_364]),
[final] ).
cnf(c_0_689,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_554]),c_0_367]),
[final] ).
cnf(c_0_690,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_491,c_0_513]),
[final] ).
cnf(c_0_691,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_555,c_0_452]),
[final] ).
cnf(c_0_692,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_432]),c_0_293]),
[final] ).
cnf(c_0_693,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_432]),c_0_293]),
[final] ).
cnf(c_0_694,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_432]),c_0_293]),
[final] ).
cnf(c_0_695,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_293]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_559]),c_0_293]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_559]),c_0_293]),
[final] ).
cnf(c_0_698,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_560,c_0_561]),
[final] ).
cnf(c_0_699,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_560,c_0_316]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_562]),
[final] ).
cnf(c_0_701,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_559]),
[final] ).
cnf(c_0_702,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_563]),c_0_367]),
[final] ).
cnf(c_0_703,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_391]),
[final] ).
cnf(c_0_704,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_555,c_0_564]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_498,c_0_469]),
[final] ).
cnf(c_0_706,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_498,c_0_513]),
[final] ).
cnf(c_0_707,negated_conjecture,
( product(e_3,e_2,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_552,c_0_364]),
[final] ).
cnf(c_0_708,negated_conjecture,
( product(e_3,e_2,e_3)
| product(X1,e_3,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_364]),
[final] ).
cnf(c_0_709,negated_conjecture,
( product(e_4,e_2,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_565]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product(e_4,e_2,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_458]),
[final] ).
cnf(c_0_711,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_566]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_500]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_567]),
[final] ).
cnf(c_0_714,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_568]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_569]),
[final] ).
cnf(c_0_716,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_555,c_0_565]),
[final] ).
cnf(c_0_717,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_458]),
[final] ).
cnf(c_0_718,negated_conjecture,
( product(e_4,e_2,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_419]),
[final] ).
cnf(c_0_719,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_570,c_0_544]),
[final] ).
cnf(c_0_720,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_544]),
[final] ).
cnf(c_0_721,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_544]),
[final] ).
cnf(c_0_722,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_544]),
[final] ).
cnf(c_0_723,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_544]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_571,c_0_495]),
[final] ).
cnf(c_0_725,negated_conjecture,
( product(e_4,e_4,e_3)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_441]),
[final] ).
cnf(c_0_726,negated_conjecture,
( product(e_4,e_4,e_3)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_379]),
[final] ).
cnf(c_0_727,negated_conjecture,
( product(e_4,e_4,e_3)
| product(X1,e_4,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_372]),
[final] ).
cnf(c_0_728,negated_conjecture,
( product(e_3,e_2,e_3)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_572]),
[final] ).
cnf(c_0_729,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_361]),
[final] ).
cnf(c_0_730,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_573]),
[final] ).
cnf(c_0_731,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_574]),
[final] ).
cnf(c_0_732,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_414]),
[final] ).
cnf(c_0_733,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_575]),
[final] ).
cnf(c_0_734,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_576]),
[final] ).
cnf(c_0_735,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_577]),
[final] ).
cnf(c_0_736,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_578]),
[final] ).
cnf(c_0_737,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_451]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_579]),
[final] ).
cnf(c_0_739,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_523]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product(e_3,e_3,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_580]),
[final] ).
cnf(c_0_741,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_545]),
[final] ).
cnf(c_0_742,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_389]),
[final] ).
cnf(c_0_743,negated_conjecture,
( product(e_3,e_3,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_581]),
[final] ).
cnf(c_0_744,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_582]),
[final] ).
cnf(c_0_745,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_583]),
[final] ).
cnf(c_0_746,negated_conjecture,
( product(e_3,e_3,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_515]),
[final] ).
cnf(c_0_747,negated_conjecture,
( product(e_2,e_4,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_584]),
[final] ).
cnf(c_0_748,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_585]),
[final] ).
cnf(c_0_749,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_386]),
[final] ).
cnf(c_0_750,negated_conjecture,
( product(e_3,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_586]),
[final] ).
cnf(c_0_751,negated_conjecture,
( product(e_2,e_4,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_587]),
[final] ).
cnf(c_0_752,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_588]),
[final] ).
cnf(c_0_753,negated_conjecture,
( product(e_3,e_3,e_4)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_589]),
[final] ).
cnf(c_0_754,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_383]),
[final] ).
cnf(c_0_755,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_590]),
[final] ).
cnf(c_0_756,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_591]),
[final] ).
cnf(c_0_757,negated_conjecture,
( product(e_2,e_4,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_592]),
[final] ).
cnf(c_0_758,negated_conjecture,
( product(e_2,e_4,e_4)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_593]),
[final] ).
cnf(c_0_759,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_594]),
[final] ).
cnf(c_0_760,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_595]),
[final] ).
cnf(c_0_761,negated_conjecture,
( product(e_2,e_4,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_552,c_0_443]),
[final] ).
cnf(c_0_762,negated_conjecture,
( product(e_2,e_4,e_4)
| product(X1,e_3,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_443]),
[final] ).
cnf(c_0_763,negated_conjecture,
( product(e_3,e_3,e_3)
| product(X1,e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_596]),
[final] ).
cnf(c_0_764,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_597,c_0_598]),
[final] ).
cnf(c_0_765,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_599,c_0_598]),
[final] ).
cnf(c_0_766,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_600]),
[final] ).
cnf(c_0_767,negated_conjecture,
( product(e_2,e_4,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_601]),
[final] ).
cnf(c_0_768,negated_conjecture,
( product(e_1,e_3,e_3)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_396]),
[final] ).
cnf(c_0_769,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_602,c_0_373]),
[final] ).
cnf(c_0_770,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_317]),
[final] ).
cnf(c_0_771,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_603,c_0_495]),
[final] ).
cnf(c_0_772,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_604,c_0_495]),
[final] ).
cnf(c_0_773,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_2,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_605,c_0_495]),
[final] ).
cnf(c_0_774,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_4,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_606,c_0_495]),
[final] ).
cnf(c_0_775,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_572]),c_0_360]),
[final] ).
cnf(c_0_776,negated_conjecture,
( product(e_2,e_2,e_2)
| product(X1,e_1,e_2)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_495]),
[final] ).
cnf(c_0_777,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_363,c_0_527]),
[final] ).
cnf(c_0_778,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_2,e_4,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_549,c_0_460]),
[final] ).
cnf(c_0_779,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_549,c_0_608]),
[final] ).
cnf(c_0_780,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_549,c_0_469]),
[final] ).
cnf(c_0_781,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_4,e_2,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_549,c_0_513]),
[final] ).
cnf(c_0_782,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_552,c_0_526]),
[final] ).
cnf(c_0_783,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_3,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_526]),
[final] ).
cnf(c_0_784,negated_conjecture,
( product(X1,e_2,e_2)
| ~ product(e_3,e_1,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_609]),
[final] ).
cnf(c_0_785,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,e_1,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_469]),
[final] ).
cnf(c_0_786,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_4,e_2,e_2)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_513]),
[final] ).
cnf(c_0_787,negated_conjecture,
( product(X1,e_2,e_2)
| ~ product(e_2,e_4,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_610]),
[final] ).
cnf(c_0_788,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_4,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_561]),
[final] ).
cnf(c_0_789,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_4,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_460]),
[final] ).
cnf(c_0_790,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_413]),
[final] ).
cnf(c_0_791,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_3,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_456]),
[final] ).
cnf(c_0_792,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_528]),
[final] ).
cnf(c_0_793,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_611]),
[final] ).
cnf(c_0_794,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,e_2,e_3)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_608]),
[final] ).
cnf(c_0_795,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_612]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_399]),
[final] ).
cnf(c_0_797,negated_conjecture,
( product(X1,e_2,e_2)
| ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_520]),
[final] ).
cnf(c_0_798,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_552,c_0_527]),
[final] ).
cnf(c_0_799,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_527]),
[final] ).
cnf(c_0_800,negated_conjecture,
( product(e_3,e_3,e_3)
| product(X1,e_3,e_4)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_613]),
[final] ).
cnf(c_0_801,negated_conjecture,
( product(e_3,e_3,e_3)
| product(X1,e_4,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_473]),
[final] ).
cnf(c_0_802,negated_conjecture,
( product(e_4,e_4,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_555,c_0_397]),
[final] ).
cnf(c_0_803,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_513]),
[final] ).
cnf(c_0_804,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_614]),
[final] ).
cnf(c_0_805,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_279,c_0_438]),
[final] ).
cnf(c_0_806,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_555,c_0_438]),
[final] ).
cnf(c_0_807,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_390,c_0_413]),
[final] ).
cnf(c_0_808,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_573]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_492]),
[final] ).
cnf(c_0_810,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_414]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_414]),
[final] ).
cnf(c_0_812,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_576]),
[final] ).
cnf(c_0_813,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_577]),
[final] ).
cnf(c_0_814,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_577]),
[final] ).
cnf(c_0_815,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_578]),
[final] ).
cnf(c_0_816,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_301,c_0_608]),
[final] ).
cnf(c_0_817,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_523]),
[final] ).
cnf(c_0_818,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_580]),
[final] ).
cnf(c_0_819,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_389]),
[final] ).
cnf(c_0_820,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_389]),
[final] ).
cnf(c_0_821,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_581]),
[final] ).
cnf(c_0_822,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_493]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_583]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_583]),
[final] ).
cnf(c_0_825,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_615,c_0_586]),
[final] ).
cnf(c_0_826,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_411]),c_0_327]),
[final] ).
cnf(c_0_827,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_587]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_588]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_589]),
[final] ).
cnf(c_0_830,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_383]),
[final] ).
cnf(c_0_831,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_590]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_590]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_592]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_593]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_593]),
[final] ).
cnf(c_0_836,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_594]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_595]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_595]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_443]),
[final] ).
cnf(c_0_840,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_343]),
[final] ).
cnf(c_0_841,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_600]),
[final] ).
cnf(c_0_842,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_600]),
[final] ).
cnf(c_0_843,plain,
( product(e_2,e_4,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_601]),
[final] ).
cnf(c_0_844,plain,
( product(e_2,e_4,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_601]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_182,c_0_327]),
[final] ).
cnf(c_0_846,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_337]),
[final] ).
cnf(c_0_847,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_404]),
[final] ).
cnf(c_0_848,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_359]),
[final] ).
cnf(c_0_849,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_370]),
[final] ).
cnf(c_0_850,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_317]),
[final] ).
cnf(c_0_851,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_617]),
[final] ).
cnf(c_0_852,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_618]),
[final] ).
cnf(c_0_853,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_179,c_0_618]),
[final] ).
cnf(c_0_854,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_619,c_0_620]),
[final] ).
cnf(c_0_855,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_442,c_0_527]),
[final] ).
cnf(c_0_856,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_621]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_442,c_0_526]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_526]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_456]),
[final] ).
cnf(c_0_860,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_527]),
[final] ).
cnf(c_0_861,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_622,c_0_613]),
[final] ).
cnf(c_0_862,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_613]),
[final] ).
cnf(c_0_863,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_613]),
[final] ).
cnf(c_0_864,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_623,c_0_620]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_623,c_0_213]),
[final] ).
cnf(c_0_866,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_384]),c_0_93]),
[final] ).
cnf(c_0_867,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_624,c_0_625]),
[final] ).
cnf(c_0_868,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_474,c_0_625]),
[final] ).
cnf(c_0_869,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_626,c_0_306]),
[final] ).
cnf(c_0_870,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_622,c_0_264]),
[final] ).
cnf(c_0_871,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_627,c_0_628]),
[final] ).
cnf(c_0_872,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_529]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_629,c_0_625]),
[final] ).
cnf(c_0_874,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_630,c_0_625]),
[final] ).
cnf(c_0_875,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_630,c_0_475]),
[final] ).
cnf(c_0_876,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_631]),
[final] ).
cnf(c_0_877,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_631]),
[final] ).
cnf(c_0_878,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_301,c_0_631]),
[final] ).
cnf(c_0_879,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_300]),
[final] ).
cnf(c_0_880,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_632,c_0_620]),
[final] ).
cnf(c_0_881,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_633,c_0_620]),
[final] ).
cnf(c_0_882,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_625]),
[final] ).
cnf(c_0_883,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_475]),
[final] ).
cnf(c_0_884,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_625]),
[final] ).
cnf(c_0_885,plain,
( ~ product(e_4,e_2,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_625]),
[final] ).
cnf(c_0_886,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_475]),
[final] ).
cnf(c_0_887,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_475]),
[final] ).
cnf(c_0_888,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_634]),
[final] ).
cnf(c_0_889,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_4,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_485]),
[final] ).
cnf(c_0_890,negated_conjecture,
( product(e_2,e_2,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_310]),c_0_56]),
[final] ).
cnf(c_0_891,negated_conjecture,
( product(e_2,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_310]),c_0_635]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product(e_2,e_2,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_310]),c_0_45]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product(e_2,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_310]),c_0_368]),
[final] ).
cnf(c_0_894,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_636]),
[final] ).
cnf(c_0_895,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_279,c_0_485]),
[final] ).
cnf(c_0_896,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_555,c_0_485]),
[final] ).
cnf(c_0_897,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_485]),
[final] ).
cnf(c_0_898,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_91,c_0_485]),
[final] ).
cnf(c_0_899,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_485]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product(X1,e_2,e_2)
| ~ product(e_4,e_2,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_620]),
[final] ).
cnf(c_0_901,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_405,c_0_620]),
[final] ).
cnf(c_0_902,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_541,c_0_620]),
[final] ).
cnf(c_0_903,negated_conjecture,
( product(e_2,e_2,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_620]),c_0_278]),
[final] ).
cnf(c_0_904,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_638,c_0_620]),
[final] ).
cnf(c_0_905,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_620]),
[final] ).
cnf(c_0_906,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_91,c_0_620]),
[final] ).
cnf(c_0_907,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_639]),
[final] ).
cnf(c_0_908,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_639]),
[final] ).
cnf(c_0_909,negated_conjecture,
( ~ product(e_4,e_4,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_639]),
[final] ).
cnf(c_0_910,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_639]),
[final] ).
cnf(c_0_911,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_179,c_0_639]),
[final] ).
cnf(c_0_912,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_640]),
[final] ).
cnf(c_0_913,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_641]),
[final] ).
cnf(c_0_914,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_4,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_642]),
[final] ).
cnf(c_0_915,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_2,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_628]),
[final] ).
cnf(c_0_916,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_354]),
[final] ).
cnf(c_0_917,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_4,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_272]),
[final] ).
cnf(c_0_918,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_628]),
[final] ).
cnf(c_0_919,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_279,c_0_354]),
[final] ).
cnf(c_0_920,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_555,c_0_354]),
[final] ).
cnf(c_0_921,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_354]),
[final] ).
cnf(c_0_922,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_354]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_272]),
[final] ).
cnf(c_0_924,negated_conjecture,
( product(e_2,e_4,e_4)
| product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_643]),
[final] ).
cnf(c_0_925,negated_conjecture,
( product(e_2,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_482]),
[final] ).
cnf(c_0_926,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_425]),
[final] ).
cnf(c_0_927,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_279,c_0_357]),
[final] ).
cnf(c_0_928,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_555,c_0_357]),
[final] ).
cnf(c_0_929,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_357]),
[final] ).
cnf(c_0_930,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_287]),
[final] ).
cnf(c_0_931,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_172,c_0_287]),
[final] ).
cnf(c_0_932,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_287]),
[final] ).
cnf(c_0_933,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_356]),c_0_362]),
[final] ).
cnf(c_0_934,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_335]),
[final] ).
cnf(c_0_935,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_335]),
[final] ).
cnf(c_0_936,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_335]),
[final] ).
cnf(c_0_937,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_506]),
[final] ).
cnf(c_0_938,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_2,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_348]),
[final] ).
cnf(c_0_939,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_91,c_0_348]),
[final] ).
cnf(c_0_940,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_348]),
[final] ).
cnf(c_0_941,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_535]),
[final] ).
cnf(c_0_942,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_306]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_298]),c_0_82]),
[final] ).
cnf(c_0_944,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_644,c_0_266]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_2,e_2,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_266]),
[final] ).
cnf(c_0_946,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_537]),c_0_93]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_645]),c_0_77]),
[final] ).
cnf(c_0_948,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_336]),
[final] ).
cnf(c_0_949,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_340]),
[final] ).
cnf(c_0_950,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_313]),c_0_91]),
[final] ).
cnf(c_0_951,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_313]),c_0_301]),
[final] ).
cnf(c_0_952,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_530]),c_0_106]),
[final] ).
cnf(c_0_953,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_341]),c_0_84]),
[final] ).
cnf(c_0_954,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_331]),c_0_281]),
[final] ).
cnf(c_0_955,negated_conjecture,
( product(e_2,e_3,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_331]),c_0_190]),
[final] ).
cnf(c_0_956,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_315]),
[final] ).
cnf(c_0_957,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_315]),
[final] ).
cnf(c_0_958,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_301,c_0_315]),
[final] ).
cnf(c_0_959,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_3,e_4,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_449]),
[final] ).
cnf(c_0_960,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_449]),
[final] ).
cnf(c_0_961,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_449]),
[final] ).
cnf(c_0_962,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_301,c_0_449]),
[final] ).
cnf(c_0_963,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_261]),
[final] ).
cnf(c_0_964,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_280]),c_0_190]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_479,c_0_233]),
[final] ).
cnf(c_0_966,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_225,c_0_220]),
[final] ).
cnf(c_0_967,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_93]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_2,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_220]),
[final] ).
cnf(c_0_969,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_225,c_0_646]),
[final] ).
cnf(c_0_970,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_2,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_646]),
[final] ).
cnf(c_0_971,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_2,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_318]),
[final] ).
cnf(c_0_972,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_318]),
[final] ).
cnf(c_0_973,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_390,c_0_318]),
[final] ).
cnf(c_0_974,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_205]),c_0_84]),
[final] ).
cnf(c_0_975,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_205]),c_0_84]),
[final] ).
cnf(c_0_976,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_181]),c_0_77]),
[final] ).
cnf(c_0_977,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_184]),
[final] ).
cnf(c_0_978,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_173]),c_0_281]),
[final] ).
cnf(c_0_979,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_173]),c_0_190]),
[final] ).
cnf(c_0_980,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_173]),c_0_108]),
[final] ).
cnf(c_0_981,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_191]),
[final] ).
cnf(c_0_982,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_271]),
[final] ).
cnf(c_0_983,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_264]),
[final] ).
cnf(c_0_984,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_93,c_0_264]),
[final] ).
cnf(c_0_985,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_264]),
[final] ).
cnf(c_0_986,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_258]),
[final] ).
cnf(c_0_987,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_244]),c_0_79]),
[final] ).
cnf(c_0_988,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_244]),c_0_84]),
[final] ).
cnf(c_0_989,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_299]),c_0_77]),
[final] ).
cnf(c_0_990,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_2,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_403]),c_0_79]),
[final] ).
cnf(c_0_991,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_403]),c_0_84]),
[final] ).
cnf(c_0_992,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_182]),c_0_79]),
[final] ).
cnf(c_0_993,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_182]),c_0_281]),
[final] ).
cnf(c_0_994,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_182]),c_0_190]),
[final] ).
cnf(c_0_995,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_1,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_182]),c_0_62]),
[final] ).
cnf(c_0_996,negated_conjecture,
( product(X1,e_4,e_4)
| ~ product(e_2,e_3,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_248]),
[final] ).
cnf(c_0_997,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_650]),c_0_106]),
[final] ).
cnf(c_0_998,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_650]),c_0_82]),
[final] ).
cnf(c_0_999,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_650]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_151,c_0_252]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_648,c_0_536]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_279,c_0_536]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_555,c_0_536]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_649,c_0_536]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_536]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_478]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_2,e_2,e_2)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_478]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_228]),c_0_77]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_651,c_0_252]),
[final] ).
cnf(c_0_1010,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_194,c_0_252]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_2,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_252]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_91,c_0_130]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_130]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_130]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_130]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(X1,e_4,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_197]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_197]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_2,e_2)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_531]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_151,c_0_134]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_134]),c_0_147]),
[final] ).
cnf(c_0_1021,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_159]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_651,c_0_134]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_194,c_0_134]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_134]),
[final] ).
cnf(c_0_1025,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_100]),
[final] ).
cnf(c_0_1026,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_225,c_0_100]),
[final] ).
cnf(c_0_1027,negated_conjecture,
( product(e_3,e_3,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_80]),c_0_190]),c_0_108]),
[final] ).
cnf(c_0_1028,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_378]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_457]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_457]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_59]),c_0_45]),c_0_652]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_1,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_59]),c_0_45]),c_0_654]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_114]),c_0_655]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_105]),c_0_570]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_105]),c_0_165]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_656]),c_0_279]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_656]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_656]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_656]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_214,c_0_656]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( ~ product(e_4,e_3,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_225,c_0_656]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( product(e_3,e_3,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_89]),c_0_190]),c_0_108]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_657,c_0_213]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_541,c_0_213]),
[final] ).
cnf(c_0_1045,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_638,c_0_213]),
[final] ).
cnf(c_0_1046,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_91,c_0_213]),
[final] ).
cnf(c_0_1047,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_213]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_632,c_0_213]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_633,c_0_213]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( product(X1,e_2,e_2)
| ~ product(e_2,e_2,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_213]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_227]),c_0_658]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_152]),c_0_301]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_69]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_91,c_0_69]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_68]),c_0_67]),
[final] ).
cnf(c_0_1056,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_167]),
[final] ).
cnf(c_0_1057,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_167]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_152]),c_0_93]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_148]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_151,c_0_227]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_651,c_0_201]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_194,c_0_201]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_2,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_201]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_651,c_0_227]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_194,c_0_227]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_227]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_152]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_108,c_0_152]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_651,c_0_152]),
[final] ).
cnf(c_0_1070,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_194,c_0_152]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_152]),
[final] ).
cnf(c_0_1072,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_156]),c_0_659]),
[final] ).
cnf(c_0_1073,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_156]),
[final] ).
cnf(c_0_1074,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_143]),c_0_647]),
[final] ).
cnf(c_0_1075,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_660,c_0_111]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_175]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_93,c_0_175]),
[final] ).
cnf(c_0_1078,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_50]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_59]),
[final] ).
cnf(c_0_1080,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_132]),
[final] ).
cnf(c_0_1081,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_133]),
[final] ).
cnf(c_0_1082,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_59]),
[final] ).
cnf(c_0_1083,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_114]),
[final] ).
cnf(c_0_1084,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_114]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( product(e_1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_46]),
[final] ).
cnf(c_0_1086,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_111]),
[final] ).
cnf(c_0_1087,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_661]),
[final] ).
cnf(c_0_1088,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_662]),
[final] ).
cnf(c_0_1089,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_663]),
[final] ).
cnf(c_0_1090,negated_conjecture,
~ product(e_3,e_4,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_559]),c_0_293]),c_0_84]),
[final] ).
cnf(c_0_1091,negated_conjecture,
~ product(e_4,e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_664,c_0_359])]),
[final] ).
cnf(c_0_1092,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_366,c_0_620]),
[final] ).
cnf(c_0_1093,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_485]),c_0_665]),c_0_666]),
[final] ).
cnf(c_0_1094,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_300]),c_0_667]),
[final] ).
cnf(c_0_1095,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_642]),c_0_301]),
[final] ).
cnf(c_0_1096,negated_conjecture,
~ product(e_2,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_482]),c_0_67]),
[final] ).
cnf(c_0_1097,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_173]),c_0_79]),c_0_56]),
[final] ).
cnf(c_0_1098,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_173]),c_0_62]),c_0_45]),
[final] ).
cnf(c_0_1099,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_1100,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_1101,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_1102,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_1103,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_1104,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_1105,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP133-2.004 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n011.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:24:47 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.97/1.91 % Version : CSE_E---1.7
% 1.97/1.91 % Problem : theBenchmark.p
% 1.97/1.91 % SZS status Satisfiable for theBenchmark.p
% 1.97/1.91 % SZS output start Saturation
% See solution above
% 1.97/1.92 % Total time : 1.369s
%------------------------------------------------------------------------------