TSTP Solution File: GRP129-3.004 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP129-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:16:58 EDT 2023
% Result : Unsatisfiable 1.36s 1.43s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e_0: $i ).
tff(decl_23,type,
e_1: $i ).
tff(decl_24,type,
next: ( $i * $i ) > $o ).
tff(decl_25,type,
e_2: $i ).
tff(decl_26,type,
e_3: $i ).
tff(decl_27,type,
e_4: $i ).
tff(decl_28,type,
greater: ( $i * $i ) > $o ).
tff(decl_29,type,
cycle: ( $i * $i ) > $o ).
tff(decl_30,type,
equalish: ( $i * $i ) > $o ).
tff(decl_31,type,
group_element: $i > $o ).
tff(decl_32,type,
product: ( $i * $i * $i ) > $o ).
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
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(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(qg3,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
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(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_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(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
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(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
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_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_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_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_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_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(cycle6,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle6) ).
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(cycle2,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle2) ).
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_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(cycle5,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle5) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(cycle4,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle4) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(cycle3,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle3) ).
cnf(cycle7,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle7) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_0) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_0_then_e_1) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_greater_e_0) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
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(c_0_39,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 ).
cnf(c_0_40,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_41,plain,
( product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_43,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_44,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_41,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
qg3 ).
cnf(c_0_46,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_41,c_0_42]) ).
cnf(c_0_47,plain,
( product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_42]) ).
cnf(c_0_48,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4 ).
cnf(c_0_50,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,X1,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,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_47,c_0_40]) ).
cnf(c_0_52,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_53,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_46]),c_0_49]) ).
cnf(c_0_54,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3 ).
cnf(c_0_57,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_59,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_60,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_49]) ).
cnf(c_0_61,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_41,c_0_59]) ).
cnf(c_0_62,plain,
( product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,X1,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_61]) ).
cnf(c_0_65,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_62,c_0_40]) ).
cnf(c_0_66,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4 ).
cnf(c_0_67,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_68,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_46]) ).
cnf(c_0_69,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2 ).
cnf(c_0_72,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_61]),c_0_66]) ).
cnf(c_0_73,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_41,c_0_67]) ).
cnf(c_0_74,plain,
( product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_77,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_72]) ).
cnf(c_0_78,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4 ).
cnf(c_0_79,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_73]) ).
cnf(c_0_80,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_74,c_0_40]) ).
cnf(c_0_81,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_46]) ).
cnf(c_0_82,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_76]),c_0_66]) ).
cnf(c_0_84,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_73]),c_0_78]) ).
cnf(c_0_85,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_73]) ).
cnf(c_0_86,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1 ).
cnf(c_0_88,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_81]) ).
cnf(c_0_89,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_53]) ).
cnf(c_0_90,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_72]) ).
cnf(c_0_91,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_94,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_81]) ).
cnf(c_0_95,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_53]) ).
cnf(c_0_96,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_46]) ).
cnf(c_0_97,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_90,c_0_61]) ).
cnf(c_0_98,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_91]) ).
cnf(c_0_99,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_78]) ).
cnf(c_0_100,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_56]) ).
cnf(c_0_101,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_98,c_0_61]) ).
cnf(c_0_104,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_99]) ).
cnf(c_0_105,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_84]) ).
cnf(c_0_106,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_101,c_0_46]) ).
cnf(c_0_108,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_66]) ).
cnf(c_0_109,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_93]) ).
cnf(c_0_110,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_73]) ).
cnf(c_0_111,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_105,c_0_73]) ).
cnf(c_0_112,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_113,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_46]) ).
cnf(c_0_114,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_107]) ).
cnf(c_0_115,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_97]) ).
cnf(c_0_117,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_118,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_3)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_111]) ).
cnf(c_0_119,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_120,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_113]),c_0_49]) ).
cnf(c_0_121,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1 ).
cnf(c_0_122,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_103]) ).
cnf(c_0_123,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_61]) ).
cnf(c_0_124,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2 ).
cnf(c_0_125,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_116,c_0_61]) ).
cnf(c_0_126,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_117]) ).
cnf(c_0_127,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_117]),c_0_78]) ).
cnf(c_0_128,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_111]) ).
cnf(c_0_129,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_130,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_131,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_132,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_125]) ).
cnf(c_0_133,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_117]) ).
cnf(c_0_134,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_135,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_73]) ).
cnf(c_0_136,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_129]),c_0_130]) ).
cnf(c_0_137,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_131]) ).
cnf(c_0_138,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_131]),c_0_66]) ).
cnf(c_0_139,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_124]) ).
cnf(c_0_140,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_135]) ).
cnf(c_0_141,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_47,c_0_59]) ).
cnf(c_0_142,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_136]) ).
cnf(c_0_143,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_121]) ).
cnf(c_0_144,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_139]),c_0_78]) ).
cnf(c_0_146,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_141]) ).
cnf(c_0_147,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_142,c_0_141]) ).
cnf(c_0_148,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_143]),c_0_130]) ).
cnf(c_0_149,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_121]) ).
cnf(c_0_150,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_136]) ).
cnf(c_0_151,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_152,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_148]) ).
cnf(c_0_153,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_149]),c_0_130]) ).
cnf(c_0_154,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2 ).
cnf(c_0_155,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_56]) ).
cnf(c_0_156,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_157,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_155]) ).
cnf(c_0_158,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_62,c_0_59]) ).
cnf(c_0_159,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_156]) ).
cnf(c_0_160,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_141]) ).
cnf(c_0_161,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_158]) ).
cnf(c_0_163,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_160]) ).
cnf(c_0_164,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_158]) ).
cnf(c_0_165,negated_conjecture,
( 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_4,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_163,c_0_155]) ).
cnf(c_0_167,negated_conjecture,
( 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_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_71]) ).
cnf(c_0_168,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_166]) ).
cnf(c_0_169,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_167]) ).
cnf(c_0_170,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_141]) ).
cnf(c_0_171,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_169,c_0_158]) ).
cnf(c_0_172,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_136]) ).
cnf(c_0_173,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3 ).
cnf(c_0_174,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_170]) ).
cnf(c_0_175,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_171]) ).
cnf(c_0_176,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_153]),c_0_173]) ).
cnf(c_0_177,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_65]) ).
cnf(c_0_178,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_62,c_0_67]) ).
cnf(c_0_179,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_62,c_0_42]) ).
cnf(c_0_180,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_166]) ).
cnf(c_0_181,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_174,c_0_156]) ).
cnf(c_0_182,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3 ).
cnf(c_0_183,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_167]) ).
cnf(c_0_184,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_185,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_158]) ).
cnf(c_0_186,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_1,e_2,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_177,c_0_178]),c_0_78]) ).
cnf(c_0_187,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_179]) ).
cnf(c_0_188,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]) ).
cnf(c_0_189,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_167]) ).
cnf(c_0_190,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_124]) ).
cnf(c_0_191,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_2,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_185,c_0_178]),c_0_154]) ).
cnf(c_0_192,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_186]) ).
cnf(c_0_193,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_2,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_187,c_0_178]),c_0_173]) ).
cnf(c_0_194,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_188]) ).
cnf(c_0_195,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_49]) ).
cnf(c_0_196,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_191]) ).
cnf(c_0_197,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_191]),c_0_66]) ).
cnf(c_0_198,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_193]) ).
cnf(c_0_199,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_182]) ).
cnf(c_0_200,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_201,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_191]),c_0_182]) ).
cnf(c_0_202,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_199]) ).
cnf(c_0_203,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_46]) ).
cnf(c_0_204,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_47,c_0_42]) ).
cnf(c_0_205,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_200]) ).
cnf(c_0_206,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_196,c_0_201]) ).
cnf(c_0_207,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_195]) ).
cnf(c_0_208,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_202,c_0_195]) ).
cnf(c_0_209,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_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_49]) ).
cnf(c_0_210,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_47,c_0_67]) ).
cnf(c_0_211,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_191]) ).
cnf(c_0_212,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_49]) ).
cnf(c_0_213,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_195]) ).
cnf(c_0_214,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_215,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_209]) ).
cnf(c_0_216,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_210]) ).
cnf(c_0_217,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_71]) ).
cnf(c_0_218,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_43,c_0_156]) ).
cnf(c_0_219,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_124]) ).
cnf(c_0_220,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_204]) ).
cnf(c_0_221,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_215,c_0_204]) ).
cnf(c_0_222,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_2,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_216,c_0_178]),c_0_182]) ).
cnf(c_0_223,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_148]) ).
cnf(c_0_224,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,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_211,c_0_217]),c_0_124]) ).
cnf(c_0_225,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_141]) ).
cnf(c_0_226,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_146,c_0_193]) ).
cnf(c_0_227,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_176]),c_0_124]) ).
cnf(c_0_228,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_219]) ).
cnf(c_0_229,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_204]) ).
cnf(c_0_230,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_231,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_73]) ).
cnf(c_0_232,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_222]) ).
cnf(c_0_233,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_223,c_0_178]) ).
cnf(c_0_234,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_43,c_0_224]) ).
cnf(c_0_235,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,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_225,c_0_226]),c_0_124]) ).
cnf(c_0_236,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_153]) ).
cnf(c_0_237,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_227]) ).
cnf(c_0_238,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_228,c_0_195]) ).
cnf(c_0_239,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_56]) ).
cnf(c_0_240,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_2,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_231,c_0_178]),c_0_66]) ).
cnf(c_0_241,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_242,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_166]) ).
cnf(c_0_243,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_124]) ).
cnf(c_0_244,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_153]) ).
cnf(c_0_245,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_236,c_0_80]) ).
cnf(c_0_246,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_74,c_0_42]) ).
cnf(c_0_247,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_219]) ).
cnf(c_0_248,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_66]) ).
cnf(c_0_249,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_239]) ).
cnf(c_0_250,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_240]) ).
cnf(c_0_251,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_224]) ).
cnf(c_0_252,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,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_152,c_0_241]),c_0_124]) ).
cnf(c_0_253,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_222]) ).
cnf(c_0_254,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_1)
| product(e_1,e_2,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_242,c_0_243]),c_0_66]) ).
cnf(c_0_255,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_87]) ).
cnf(c_0_256,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_236,c_0_246]) ).
cnf(c_0_257,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_156]) ).
cnf(c_0_258,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_56]) ).
cnf(c_0_259,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_249,c_0_204]) ).
cnf(c_0_260,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_222]),c_0_49]) ).
cnf(c_0_261,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_71]) ).
cnf(c_0_262,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_130]) ).
cnf(c_0_263,axiom,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
cycle6 ).
cnf(c_0_264,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_67]) ).
cnf(c_0_265,axiom,
greater(e_4,e_1),
e_4_greater_e_1 ).
cnf(c_0_266,axiom,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
cycle2 ).
cnf(c_0_267,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_255]) ).
cnf(c_0_268,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_210]) ).
cnf(c_0_269,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_142,c_0_210]) ).
cnf(c_0_270,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_256]) ).
cnf(c_0_271,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_66]) ).
cnf(c_0_272,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_259]) ).
cnf(c_0_273,plain,
( product(e_1,e_4,e_1)
| 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_3,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_43,c_0_260]) ).
cnf(c_0_274,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_3,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_261]) ).
cnf(c_0_275,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_262]),c_0_124]) ).
cnf(c_0_276,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| ~ cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265])]) ).
cnf(c_0_277,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_266,c_0_67]) ).
cnf(c_0_278,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_267,c_0_227]) ).
cnf(c_0_279,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_280,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_270,c_0_153]) ).
cnf(c_0_281,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_271]) ).
cnf(c_0_282,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_272,c_0_153]) ).
cnf(c_0_283,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_252]),c_0_130]) ).
cnf(c_0_284,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_170]) ).
cnf(c_0_285,negated_conjecture,
( product(e_2,e_2,e_1)
| 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_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_49]) ).
cnf(c_0_286,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_287,axiom,
greater(e_3,e_1),
e_3_greater_e_1 ).
cnf(c_0_288,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_278]) ).
cnf(c_0_289,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_279]),c_0_56]) ).
cnf(c_0_290,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_280]) ).
cnf(c_0_291,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| 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_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_124]) ).
cnf(c_0_292,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_3,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_283]) ).
cnf(c_0_293,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_66]) ).
cnf(c_0_294,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_286]),c_0_287])]) ).
cnf(c_0_295,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_178]) ).
cnf(c_0_296,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_178]) ).
cnf(c_0_297,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_288,c_0_227]) ).
cnf(c_0_298,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_289]) ).
cnf(c_0_299,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_176]) ).
cnf(c_0_300,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_121]) ).
cnf(c_0_301,negated_conjecture,
( product(e_1,e_4,e_1)
| 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_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_285]),c_0_66]) ).
cnf(c_0_302,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_252]) ).
cnf(c_0_303,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_293]),c_0_130]) ).
cnf(c_0_304,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_294,c_0_277]) ).
cnf(c_0_305,axiom,
greater(e_2,e_1),
e_2_greater_e_1 ).
cnf(c_0_306,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_156]) ).
cnf(c_0_307,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_308,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_1,X1,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_297]) ).
cnf(c_0_309,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_298,c_0_210]) ).
cnf(c_0_310,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_49]) ).
cnf(c_0_311,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_51]) ).
cnf(c_0_312,negated_conjecture,
( 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_3,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_301]) ).
cnf(c_0_313,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_49]) ).
cnf(c_0_314,plain,
( product(e_1,e_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_304]),c_0_305])]) ).
cnf(c_0_315,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,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_306,c_0_307]),c_0_71]) ).
cnf(c_0_316,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_308,c_0_227]) ).
cnf(c_0_317,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_309]) ).
cnf(c_0_318,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_280]) ).
cnf(c_0_319,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_310]),c_0_124]) ).
cnf(c_0_320,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_311,c_0_153]) ).
cnf(c_0_321,negated_conjecture,
( 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_3,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_285]) ).
cnf(c_0_322,negated_conjecture,
( 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_3,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_130]) ).
cnf(c_0_323,plain,
( product(e_1,e_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_314,c_0_277]) ).
cnf(c_0_324,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_315]) ).
cnf(c_0_325,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_316]) ).
cnf(c_0_326,negated_conjecture,
( product(e_3,e_4,e_1)
| 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_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_317,c_0_316]) ).
cnf(c_0_327,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_328,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,X1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_320]) ).
cnf(c_0_329,negated_conjecture,
( 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_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_124]) ).
cnf(c_0_330,plain,
( equalish(X1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_323]) ).
cnf(c_0_331,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_324,c_0_178]) ).
cnf(c_0_332,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_43,c_0_289]) ).
cnf(c_0_333,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_124]) ).
cnf(c_0_334,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_327]),c_0_78]) ).
cnf(c_0_335,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_328,c_0_153]) ).
cnf(c_0_336,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_65]) ).
cnf(c_0_337,negated_conjecture,
( 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_3,e_1)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_329]) ).
cnf(c_0_338,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_87]) ).
cnf(c_0_339,negated_conjecture,
( product(e_3,e_4,e_1)
| 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_4,e_1)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_173]) ).
cnf(c_0_340,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_334]),c_0_124]) ).
cnf(c_0_341,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_335]) ).
cnf(c_0_342,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_336]),c_0_71]) ).
cnf(c_0_343,plain,
( equalish(X1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_323]) ).
cnf(c_0_344,negated_conjecture,
( 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_3,e_1)
| product(e_1,e_4,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_56]) ).
cnf(c_0_345,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_339]) ).
cnf(c_0_346,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_1,X1,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_340]) ).
cnf(c_0_347,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_341,c_0_153]) ).
cnf(c_0_348,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_342]) ).
cnf(c_0_349,negated_conjecture,
( 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_3,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_87]) ).
cnf(c_0_350,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_2)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_210]) ).
cnf(c_0_351,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_340]) ).
cnf(c_0_352,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_353,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_348,c_0_156]) ).
cnf(c_0_354,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_153]) ).
cnf(c_0_355,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_349]),c_0_121]) ).
cnf(c_0_356,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_350]),c_0_87]) ).
cnf(c_0_357,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_87]) ).
cnf(c_0_358,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_2,X1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_353]) ).
cnf(c_0_359,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_66]) ).
cnf(c_0_360,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_355]) ).
cnf(c_0_361,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_356]),c_0_87]) ).
cnf(c_0_362,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_357]),c_0_121]) ).
cnf(c_0_363,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_358,c_0_156]) ).
cnf(c_0_364,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_4)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_359]) ).
cnf(c_0_365,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_124]) ).
cnf(c_0_366,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_362]),c_0_130]) ).
cnf(c_0_367,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| equalish(X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_363]) ).
cnf(c_0_368,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_49]) ).
cnf(c_0_369,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_366]) ).
cnf(c_0_370,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_366]),c_0_66]) ).
cnf(c_0_371,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_368]),c_0_87]) ).
cnf(c_0_372,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_366]) ).
cnf(c_0_373,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_71]) ).
cnf(c_0_374,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_371]),c_0_121]) ).
cnf(c_0_375,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_121]) ).
cnf(c_0_376,negated_conjecture,
( product(e_1,e_2,e_1)
| equalish(X1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_374]) ).
cnf(c_0_377,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_375]),c_0_130]) ).
cnf(c_0_378,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_71]) ).
cnf(c_0_379,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_3,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_378]),c_0_87]) ).
cnf(c_0_380,axiom,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
cycle5 ).
cnf(c_0_381,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_266,c_0_42]) ).
cnf(c_0_382,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_379]),c_0_49]) ).
cnf(c_0_383,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_3,X3)
| ~ greater(X4,X2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_384,negated_conjecture,
( product(e_1,e_2,e_1)
| product(e_1,e_4,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_382]),c_0_71]) ).
cnf(c_0_385,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_3,X2) ),
inference(spm,[status(thm)],[c_0_383,c_0_287]) ).
cnf(c_0_386,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_387,negated_conjecture,
( product(e_1,e_2,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_384]),c_0_87]) ).
cnf(c_0_388,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_1,X1)
| ~ cycle(e_4,X2)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_389,negated_conjecture,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_387]),c_0_130]) ).
cnf(c_0_390,axiom,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
cycle4 ).
cnf(c_0_391,axiom,
greater(e_3,e_0),
e_3_greater_e_0 ).
cnf(c_0_392,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(e_4,X1)
| ~ greater(e_3,X1) ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_393,axiom,
cycle(e_4,e_0),
cycle3 ).
cnf(c_0_394,plain,
( equalish(e_3,X1)
| ~ cycle(X2,e_3)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_395,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_391]),c_0_393])]) ).
cnf(c_0_396,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(X2,X3)
| ~ next(e_3,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_397,axiom,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
cycle7 ).
cnf(c_0_398,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_396,c_0_386]) ).
cnf(c_0_399,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(e_4,X1)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_264]) ).
cnf(c_0_400,axiom,
greater(e_2,e_0),
e_2_greater_e_0 ).
cnf(c_0_401,negated_conjecture,
( equalish(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_398,c_0_393]) ).
cnf(c_0_402,axiom,
next(e_0,e_1),
e_0_then_e_1 ).
cnf(c_0_403,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(e_4,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ next(e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_389]),c_0_391])]) ).
cnf(c_0_404,axiom,
next(e_1,e_2),
e_1_then_e_2 ).
cnf(c_0_405,plain,
( equalish(e_2,X1)
| ~ cycle(X2,e_2)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_390,c_0_400]) ).
cnf(c_0_406,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_121]) ).
cnf(c_0_407,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_71]) ).
cnf(c_0_408,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(X2,X3)
| ~ next(e_3,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_406]) ).
cnf(c_0_409,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(e_3,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_407]) ).
cnf(c_0_410,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(e_4,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_408,c_0_386]) ).
cnf(c_0_411,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(e_3,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(e_1,e_3)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_409,c_0_391]) ).
cnf(c_0_412,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_410,c_0_393]) ).
cnf(c_0_413,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(e_3,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_411,c_0_389]) ).
cnf(c_0_414,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| equalish(e_3,X1)
| ~ cycle(e_3,X2)
| ~ greater(X2,e_0)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_280]) ).
cnf(c_0_415,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_402]),c_0_130]) ).
cnf(c_0_416,axiom,
greater(e_1,e_0),
e_1_greater_e_0 ).
cnf(c_0_417,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_404]),c_0_124]) ).
cnf(c_0_418,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| equalish(e_3,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ next(e_3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_416])]) ).
cnf(c_0_419,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_43,c_0_417]) ).
cnf(c_0_420,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_386]),c_0_49]) ).
cnf(c_0_421,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,X1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_417]) ).
cnf(c_0_422,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_121]) ).
cnf(c_0_423,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_417]) ).
cnf(c_0_424,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_425,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_87]) ).
cnf(c_0_426,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_377]) ).
cnf(c_0_427,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_425]) ).
cnf(c_0_428,negated_conjecture,
( 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_3,e_1)
| product(e_1,e_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_417]),c_0_173]) ).
cnf(c_0_429,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_417]),c_0_78]) ).
cnf(c_0_430,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_43,c_0_309]) ).
cnf(c_0_431,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_49]) ).
cnf(c_0_432,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_1,e_1)
| equalish(X1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_43,c_0_429]) ).
cnf(c_0_433,negated_conjecture,
( product(e_3,e_4,e_1)
| 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_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_417]),c_0_78]) ).
cnf(c_0_434,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_431]),c_0_121]) ).
cnf(c_0_435,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_121]) ).
cnf(c_0_436,negated_conjecture,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_434]),c_0_66]) ).
cnf(c_0_437,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_435]) ).
cnf(c_0_438,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_436]),c_0_87]) ).
cnf(c_0_439,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_434]),c_0_182]) ).
cnf(c_0_440,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| equalish(X1,e_4)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_438]) ).
cnf(c_0_441,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_439]),c_0_121]) ).
cnf(c_0_442,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_49]) ).
cnf(c_0_443,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_442]),c_0_130]) ).
cnf(c_0_444,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_443]),c_0_66]) ).
cnf(c_0_445,negated_conjecture,
( product(e_1,e_1,e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_444]),c_0_121]) ).
cnf(c_0_446,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_445]) ).
cnf(c_0_447,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(e_1,e_3)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_446,c_0_391]) ).
cnf(c_0_448,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_447,c_0_389]) ).
cnf(c_0_449,negated_conjecture,
( cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_404]),c_0_154]) ).
cnf(c_0_450,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_1,e_1)
| ~ cycle(X2,X3)
| ~ next(e_1,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_405,c_0_449]) ).
cnf(c_0_451,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_1,e_1)
| ~ cycle(e_2,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_450,c_0_404]) ).
cnf(c_0_452,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_266,c_0_59]) ).
cnf(c_0_453,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_454,negated_conjecture,
( cycle(e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_402]),c_0_130]) ).
cnf(c_0_455,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_451,c_0_454]) ).
cnf(c_0_456,negated_conjecture,
( cycle(e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_386]),c_0_66]) ).
cnf(c_0_457,negated_conjecture,
( equalish(e_2,X1)
| cycle(e_1,e_1)
| cycle(e_2,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_451,c_0_456]) ).
cnf(c_0_458,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_459,plain,
( equalish(e_1,X1)
| ~ cycle(X2,e_1)
| ~ cycle(X3,X4)
| ~ next(X4,X1)
| ~ next(X2,X3) ),
inference(spm,[status(thm)],[c_0_390,c_0_416]) ).
cnf(c_0_460,negated_conjecture,
( cycle(e_1,e_1)
| cycle(e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_458]),c_0_182]) ).
cnf(c_0_461,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| ~ cycle(X2,X3)
| ~ next(e_2,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_462,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_1,e_1)
| ~ cycle(e_4,X1)
| ~ greater(e_2,X1) ),
inference(spm,[status(thm)],[c_0_388,c_0_449]) ).
cnf(c_0_463,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| ~ cycle(e_3,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_461,c_0_458]) ).
cnf(c_0_464,negated_conjecture,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_400]),c_0_393])]) ).
cnf(c_0_465,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_466,negated_conjecture,
( cycle(e_1,e_1)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_386]),c_0_78]) ).
cnf(c_0_467,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_3,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_466]) ).
cnf(c_0_468,negated_conjecture,
( cycle(e_1,e_1)
| cycle(e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_458]),c_0_173]) ).
cnf(c_0_469,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_1,e_1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_463,c_0_468]) ).
cnf(c_0_470,negated_conjecture,
cycle(e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_404]),c_0_154]) ).
cnf(c_0_471,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_59]) ).
cnf(c_0_472,axiom,
greater(e_4,e_2),
e_4_greater_e_2 ).
cnf(c_0_473,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| equalish(e_4,X1)
| ~ next(e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_470]),c_0_416])]) ).
cnf(c_0_474,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_471]),c_0_472])]) ).
cnf(c_0_475,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_404]),c_0_71]) ).
cnf(c_0_476,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_474,c_0_452]) ).
cnf(c_0_477,axiom,
greater(e_3,e_2),
e_3_greater_e_2 ).
cnf(c_0_478,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(e_3,X1)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_475]) ).
cnf(c_0_479,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_2,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_476]),c_0_477])]) ).
cnf(c_0_480,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| equalish(e_3,X1)
| ~ next(e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_470]),c_0_416])]) ).
cnf(c_0_481,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_479,c_0_452]) ).
cnf(c_0_482,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_404]),c_0_124]) ).
cnf(c_0_483,plain,
( product(e_2,e_1,e_1)
| equalish(X1,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_43,c_0_481]) ).
cnf(c_0_484,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_482]) ).
cnf(c_0_485,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_482]),c_0_154]) ).
cnf(c_0_486,negated_conjecture,
( product(e_1,e_1,e_1)
| equalish(X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_482]) ).
cnf(c_0_487,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_488,negated_conjecture,
( product(e_1,e_1,e_1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_130]) ).
cnf(c_0_489,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_1,X2)
| ~ greater(X2,e_0)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_397,c_0_488]) ).
cnf(c_0_490,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(X2,X3)
| ~ next(e_1,X2)
| ~ next(X3,X1) ),
inference(spm,[status(thm)],[c_0_459,c_0_470]) ).
cnf(c_0_491,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_416]),c_0_470])]) ).
cnf(c_0_492,negated_conjecture,
( equalish(e_1,X1)
| ~ cycle(e_2,X2)
| ~ next(X2,X1) ),
inference(spm,[status(thm)],[c_0_490,c_0_404]) ).
cnf(c_0_493,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_404]),c_0_154]) ).
cnf(c_0_494,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_492,c_0_493]) ).
cnf(c_0_495,negated_conjecture,
( cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_386]),c_0_78]) ).
cnf(c_0_496,negated_conjecture,
( equalish(e_1,X1)
| cycle(e_2,e_1)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_492,c_0_495]) ).
cnf(c_0_497,negated_conjecture,
cycle(e_2,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_458]),c_0_173]) ).
cnf(c_0_498,negated_conjecture,
( equalish(e_1,X1)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_492,c_0_497]) ).
cnf(c_0_499,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_404]),c_0_154]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP129-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n005.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 01:21:07 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 1.36/1.43 % Version : CSE_E---1.5
% 1.36/1.43 % Problem : theBenchmark.p
% 1.36/1.43 % Proof found
% 1.36/1.43 % SZS status Theorem for theBenchmark.p
% 1.36/1.43 % SZS output start Proof
% See solution above
% 1.36/1.45 % Total time : 0.855000 s
% 1.36/1.45 % SZS output end Proof
% 1.36/1.45 % Total time : 0.859000 s
%------------------------------------------------------------------------------