%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP128-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:38:25 PM UTC 2026
% Result : Unsatisfiable 7.26s 1.50s
% Output : CNFRefutation 7.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(product_total_function1,axiom,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(cycle6,axiom,
( ~ greater(X2,X1)
| ~ product(X1,e_1,X2)
| ~ cycle(X1,e_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle6) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(cycle2,axiom,
( ~ group_element(X1)
| cycle(X1,e_4)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle2) ).
cnf(cycle7,axiom,
( ~ next(X1,X4)
| ~ greater(X2,e_0)
| ~ product(X1,e_1,X3)
| ~ cycle(X1,X2)
| equalish(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cycle7) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_2) ).
cnf(e_5_greater_e_1,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_1) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_0) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_3) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_0) ).
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_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(product_left_cancellation,axiom,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
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(qg3,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X2,X3)
| product(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).
cnf(product_right_cancellation,axiom,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
cnf(e_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_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
cnf(e_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_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
cnf(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_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(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_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(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_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
cnf(c_0_41,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
inference(fof_simplification,[status(thm)],[product_total_function1]) ).
cnf(c_0_42,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_41 ).
cnf(c_0_43,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_44,plain,
( ~ greater(X2,X1)
| ~ product(X1,e_1,X2)
| ~ cycle(X1,e_0) ),
inference(fof_simplification,[status(thm)],[cycle6]) ).
cnf(c_0_45,plain,
( ~ group_element(X1)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_47,plain,
( ~ group_element(X1)
| cycle(X1,e_4)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0) ),
inference(fof_simplification,[status(thm)],[cycle2]) ).
cnf(c_0_48,plain,
( ~ next(X1,X4)
| ~ greater(X2,e_0)
| ~ product(X1,e_1,X3)
| ~ cycle(X1,X2)
| equalish(X3,X4) ),
inference(fof_simplification,[status(thm)],[cycle7]) ).
cnf(c_0_49,plain,
( ~ greater(X2,X1)
| ~ product(X1,e_1,X2)
| ~ cycle(X1,e_0) ),
c_0_44 ).
cnf(c_0_50,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,axiom,
greater(e_5,e_2),
e_5_greater_e_2 ).
cnf(c_0_52,plain,
( ~ group_element(X1)
| cycle(X1,e_4)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0) ),
c_0_47 ).
cnf(c_0_53,plain,
( ~ next(X1,X4)
| ~ greater(X2,e_0)
| ~ product(X1,e_1,X3)
| ~ cycle(X1,X2)
| equalish(X3,X4) ),
c_0_48 ).
cnf(c_0_54,plain,
( ~ cycle(e_2,e_0)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_55,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_46]) ).
cnf(c_0_56,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_43]) ).
cnf(c_0_57,axiom,
greater(e_5,e_1),
e_5_greater_e_1 ).
cnf(c_0_58,plain,
( ~ next(e_2,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_2,X2)
| equalish(e_5,X1)
| 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_53,c_0_50]) ).
cnf(c_0_59,plain,
( cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,axiom,
greater(e_4,e_0),
e_4_greater_e_0 ).
cnf(c_0_61,plain,
~ equalish(e_5,e_3),
inference(fof_simplification,[status(thm)],[e_5_is_not_e_3]) ).
cnf(c_0_62,plain,
( ~ cycle(e_1,e_0)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_56]),c_0_57])]) ).
cnf(c_0_63,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_64,plain,
( ~ next(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| equalish(e_5,X1)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_65,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_66,plain,
~ equalish(e_5,e_3),
c_0_61 ).
cnf(c_0_67,plain,
( ~ next(e_1,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_1,X2)
| equalish(e_5,X1)
| 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_53,c_0_56]) ).
cnf(c_0_68,plain,
( cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
~ equalish(e_5,e_2),
inference(fof_simplification,[status(thm)],[e_5_is_not_e_2]) ).
cnf(c_0_70,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_71,axiom,
greater(e_3,e_0),
e_3_greater_e_0 ).
cnf(c_0_72,plain,
( ~ next(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| equalish(e_5,X1)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_60])]) ).
cnf(c_0_73,axiom,
next(e_1,e_2),
e_1_then_e_2 ).
cnf(c_0_74,plain,
~ equalish(e_5,e_2),
c_0_69 ).
cnf(c_0_75,plain,
( ~ next(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| equalish(e_5,X1)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_70]),c_0_71])]) ).
cnf(c_0_76,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_77,plain,
( cycle(e_2,e_2)
| cycle(e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_65]),c_0_66]) ).
cnf(c_0_78,axiom,
greater(e_2,e_0),
e_2_greater_e_0 ).
cnf(c_0_79,plain,
( ~ next(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| equalish(e_5,X1)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_76]),c_0_71])]) ).
cnf(c_0_80,plain,
( ~ next(e_2,X1)
| cycle(e_2,e_1)
| equalish(e_5,X1)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_77]),c_0_78])]) ).
cnf(c_0_81,plain,
( cycle(e_1,e_2)
| cycle(e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_73]),c_0_74]) ).
cnf(c_0_82,plain,
( cycle(e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_65]),c_0_66]) ).
cnf(c_0_83,axiom,
greater(e_1,e_0),
e_1_greater_e_0 ).
cnf(c_0_84,plain,
( ~ next(e_1,X1)
| cycle(e_1,e_1)
| equalish(e_5,X1)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_81]),c_0_78])]) ).
cnf(c_0_85,plain,
( ~ next(e_2,X1)
| equalish(e_5,X1)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_82]),c_0_83])]) ).
cnf(c_0_86,plain,
( cycle(e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_73]),c_0_74]) ).
cnf(c_0_87,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_65]),c_0_66]) ).
cnf(c_0_88,axiom,
greater(e_4,e_2),
e_4_greater_e_2 ).
cnf(c_0_89,plain,
( ~ next(e_1,X1)
| equalish(e_5,X1)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_86]),c_0_83])]) ).
cnf(c_0_90,plain,
( ~ cycle(e_2,e_0)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_87]),c_0_88])]) ).
cnf(c_0_91,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_73]),c_0_74]) ).
cnf(c_0_92,axiom,
greater(e_4,e_1),
e_4_greater_e_1 ).
cnf(c_0_93,plain,
( ~ next(e_2,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_2,X2)
| equalish(e_4,X1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_53,c_0_87]) ).
cnf(c_0_94,plain,
( cycle(e_2,e_4)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_90,c_0_55]) ).
cnf(c_0_95,plain,
~ equalish(e_4,e_3),
inference(fof_simplification,[status(thm)],[e_4_is_not_e_3]) ).
cnf(c_0_96,plain,
( ~ cycle(e_1,e_0)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_91]),c_0_92])]) ).
cnf(c_0_97,plain,
( ~ next(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| equalish(e_4,X1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_60])]) ).
cnf(c_0_98,plain,
~ equalish(e_4,e_3),
c_0_95 ).
cnf(c_0_99,plain,
( ~ next(e_1,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_1,X2)
| equalish(e_4,X1)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_53,c_0_91]) ).
cnf(c_0_100,plain,
( cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_96,c_0_63]) ).
cnf(c_0_101,plain,
~ equalish(e_4,e_2),
inference(fof_simplification,[status(thm)],[e_4_is_not_e_2]) ).
cnf(c_0_102,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_65]),c_0_98]) ).
cnf(c_0_103,plain,
( ~ next(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| equalish(e_4,X1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_60])]) ).
cnf(c_0_104,plain,
~ equalish(e_4,e_2),
c_0_101 ).
cnf(c_0_105,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_106,plain,
( ~ next(e_2,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| equalish(e_4,X1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_102]),c_0_71])]) ).
cnf(c_0_107,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_73]),c_0_104]) ).
cnf(c_0_108,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_105]) ).
cnf(c_0_109,axiom,
greater(e_5,e_3),
e_5_greater_e_3 ).
cnf(c_0_110,plain,
( cycle(e_2,e_2)
| cycle(e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_65]),c_0_98]) ).
cnf(c_0_111,plain,
( ~ next(e_1,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| equalish(e_4,X1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_107]),c_0_71])]) ).
cnf(c_0_112,plain,
( ~ cycle(e_3,e_0)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_108]),c_0_109])]) ).
cnf(c_0_113,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_105]) ).
cnf(c_0_114,plain,
( ~ next(e_2,X1)
| cycle(e_2,e_1)
| equalish(e_4,X1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_110]),c_0_78])]) ).
cnf(c_0_115,plain,
( cycle(e_1,e_2)
| cycle(e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_73]),c_0_104]) ).
cnf(c_0_116,plain,
( ~ next(e_3,X1)
| ~ greater(X2,e_0)
| ~ cycle(e_3,X2)
| equalish(e_5,X1)
| 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_53,c_0_108]) ).
cnf(c_0_117,plain,
( cycle(e_3,e_4)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,plain,
~ equalish(e_5,e_4),
inference(fof_simplification,[status(thm)],[e_5_is_not_e_4]) ).
cnf(c_0_119,plain,
( cycle(e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_65]),c_0_98]) ).
cnf(c_0_120,plain,
( ~ next(e_1,X1)
| cycle(e_1,e_1)
| equalish(e_4,X1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_115]),c_0_78])]) ).
cnf(c_0_121,plain,
( ~ next(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| equalish(e_5,X1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_60])]) ).
cnf(c_0_122,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_123,plain,
~ equalish(e_5,e_4),
c_0_118 ).
cnf(c_0_124,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
inference(fof_simplification,[status(thm)],[product_left_cancellation]) ).
cnf(c_0_125,plain,
( ~ next(e_2,X1)
| equalish(e_4,X1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_119]),c_0_83])]) ).
cnf(c_0_126,plain,
( cycle(e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_73]),c_0_104]) ).
cnf(c_0_127,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_128,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_124 ).
cnf(c_0_129,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_65]),c_0_98]) ).
cnf(c_0_130,plain,
( ~ next(e_1,X1)
| equalish(e_4,X1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_126]),c_0_83])]) ).
cnf(c_0_131,plain,
~ equalish(e_1,e_2),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_2]) ).
cnf(c_0_132,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X2,X3)
| product(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[qg3]) ).
cnf(c_0_133,axiom,
group_element(e_5),
element_5 ).
cnf(c_0_134,plain,
( ~ next(e_3,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| equalish(e_5,X1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_127]),c_0_71])]) ).
cnf(c_0_135,plain,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_136,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_73]),c_0_104]) ).
cnf(c_0_137,plain,
~ equalish(e_1,e_2),
c_0_131 ).
cnf(c_0_138,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
inference(fof_simplification,[status(thm)],[product_right_cancellation]) ).
cnf(c_0_139,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X2,X3)
| product(X1,X3,X4) ),
c_0_132 ).
cnf(c_0_140,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_133]) ).
cnf(c_0_141,plain,
( cycle(e_3,e_2)
| cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_122]),c_0_123]) ).
cnf(c_0_142,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).
cnf(c_0_143,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_138 ).
cnf(c_0_144,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(X1,e_5,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_145,plain,
~ equalish(e_5,e_1),
inference(fof_simplification,[status(thm)],[e_5_is_not_e_1]) ).
cnf(c_0_146,plain,
( ~ next(e_3,X1)
| cycle(e_3,e_1)
| equalish(e_5,X1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_141]),c_0_78])]) ).
cnf(c_0_147,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_142]) ).
cnf(c_0_148,plain,
~ equalish(e_2,e_1),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_1]) ).
cnf(c_0_149,plain,
( ~ product(e_5,X1,e_5)
| equalish(X1,e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_143,c_0_140]) ).
cnf(c_0_150,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_144,c_0_140]) ).
cnf(c_0_151,plain,
~ equalish(e_5,e_1),
c_0_145 ).
cnf(c_0_152,plain,
( cycle(e_3,e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_122]),c_0_123]) ).
cnf(c_0_153,plain,
( ~ product(e_2,X1,e_2)
| equalish(X1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_142]) ).
cnf(c_0_154,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_147,c_0_142]) ).
cnf(c_0_155,plain,
~ equalish(e_2,e_1),
c_0_148 ).
cnf(c_0_156,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_157,plain,
( ~ next(e_3,X1)
| equalish(e_5,X1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_152]),c_0_83])]) ).
cnf(c_0_158,plain,
~ equalish(e_3,e_5),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_5]) ).
cnf(c_0_159,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(X1,e_1,e_3)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_136]) ).
cnf(c_0_160,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
cnf(c_0_161,negated_conjecture,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_128,c_0_156]) ).
cnf(c_0_162,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_122]),c_0_123]) ).
cnf(c_0_163,plain,
~ equalish(e_3,e_5),
c_0_158 ).
cnf(c_0_164,plain,
( ~ group_element(X1)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_42,c_0_133]) ).
cnf(c_0_165,plain,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_136]) ).
cnf(c_0_166,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_167,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_168,plain,
~ equalish(e_2,e_5),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_5]) ).
cnf(c_0_169,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_164,c_0_133]) ).
cnf(c_0_170,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_162]) ).
cnf(c_0_171,plain,
~ equalish(e_3,e_2),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_2]) ).
cnf(c_0_172,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_155]) ).
cnf(c_0_173,negated_conjecture,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_167]) ).
cnf(c_0_174,plain,
~ equalish(e_2,e_5),
c_0_168 ).
cnf(c_0_175,plain,
( ~ product(X1,e_5,e_5)
| equalish(X1,e_5)
| product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_128,c_0_169]) ).
cnf(c_0_176,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_164,c_0_46]) ).
cnf(c_0_177,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_129]) ).
cnf(c_0_178,plain,
~ equalish(e_3,e_2),
c_0_171 ).
cnf(c_0_179,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_1)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_128,c_0_172]) ).
cnf(c_0_180,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_129]),c_0_174]) ).
cnf(c_0_181,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_172]) ).
cnf(c_0_182,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_174]) ).
cnf(c_0_183,plain,
~ equalish(e_1,e_5),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_5]) ).
cnf(c_0_184,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_129]) ).
cnf(c_0_185,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_177]),c_0_178]) ).
cnf(c_0_186,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_151]),c_0_181]),c_0_181]) ).
cnf(c_0_187,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_182]) ).
cnf(c_0_188,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_164,c_0_43]) ).
cnf(c_0_189,plain,
~ equalish(e_1,e_5),
c_0_183 ).
cnf(c_0_190,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_191,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_181,c_0_186]) ).
cnf(c_0_192,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_187,c_0_176]) ).
cnf(c_0_193,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_188]),c_0_189]) ).
cnf(c_0_194,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_190]) ).
cnf(c_0_195,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_191]),c_0_151]) ).
cnf(c_0_196,plain,
~ equalish(e_3,e_1),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_1]) ).
cnf(c_0_197,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_5,e_1)
| product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_192]) ).
cnf(c_0_198,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_193]) ).
cnf(c_0_199,negated_conjecture,
( ~ product(e_3,X1,e_3)
| equalish(X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_143,c_0_190]) ).
cnf(c_0_200,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_194,c_0_190]) ).
cnf(c_0_201,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_195]),c_0_178]),c_0_181]) ).
cnf(c_0_202,plain,
~ equalish(e_3,e_1),
c_0_196 ).
cnf(c_0_203,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_197,c_0_176]) ).
cnf(c_0_204,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_198,c_0_188]) ).
cnf(c_0_205,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_178]) ).
cnf(c_0_206,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_201]),c_0_202]) ).
cnf(c_0_207,plain,
~ equalish(e_1,e_3),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_3]) ).
cnf(c_0_208,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_203]) ).
cnf(c_0_209,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_5,e_5,e_1)
| product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_204]) ).
cnf(c_0_210,negated_conjecture,
( ~ product(X1,e_1,e_1)
| equalish(X1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_205]) ).
cnf(c_0_211,negated_conjecture,
product(e_1,e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_206]),c_0_155]) ).
cnf(c_0_212,plain,
~ equalish(e_1,e_3),
c_0_207 ).
cnf(c_0_213,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_176]) ).
cnf(c_0_214,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_209,c_0_188]) ).
cnf(c_0_215,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]) ).
cnf(c_0_216,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_1)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_213]) ).
cnf(c_0_217,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_5,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_214]) ).
cnf(c_0_218,negated_conjecture,
( ~ product(e_2,X1,e_4)
| equalish(X1,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_143,c_0_215]) ).
cnf(c_0_219,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_216,c_0_176]) ).
cnf(c_0_220,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_217,c_0_188]) ).
cnf(c_0_221,plain,
( ~ product(e_2,X1,e_3)
| equalish(X1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_143,c_0_129]) ).
cnf(c_0_222,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_66]) ).
cnf(c_0_223,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_164,c_0_105]) ).
cnf(c_0_224,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_1)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_220]) ).
cnf(c_0_225,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_151]) ).
cnf(c_0_226,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_223]),c_0_163]) ).
cnf(c_0_227,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_224,c_0_188]) ).
cnf(c_0_228,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(X1,e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_225]) ).
cnf(c_0_229,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_226]) ).
cnf(c_0_230,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_227]) ).
cnf(c_0_231,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_228,c_0_225]) ).
cnf(c_0_232,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_229,c_0_223]) ).
cnf(c_0_233,negated_conjecture,
( ~ product(e_2,X1,e_2)
| equalish(X1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_143,c_0_225]) ).
cnf(c_0_234,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_235,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_5,e_5,e_1)
| product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_232]) ).
cnf(c_0_236,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_174]),c_0_230]) ).
cnf(c_0_237,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_235,c_0_223]) ).
cnf(c_0_238,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_236]),c_0_212]) ).
cnf(c_0_239,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_5,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_237]) ).
cnf(c_0_240,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_238]) ).
cnf(c_0_241,negated_conjecture,
( product(e_5,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_239,c_0_223]) ).
cnf(c_0_242,negated_conjecture,
( ~ product(e_2,X1,e_2)
| equalish(X1,e_1)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_238]) ).
cnf(c_0_243,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_240,c_0_238]) ).
cnf(c_0_244,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(X1,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_241]) ).
cnf(c_0_245,negated_conjecture,
( ~ product(X1,e_1,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_128,c_0_211]) ).
cnf(c_0_246,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_155]) ).
cnf(c_0_247,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_244,c_0_223]) ).
cnf(c_0_248,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_155]) ).
cnf(c_0_249,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(X1,e_3,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_247]) ).
cnf(c_0_250,negated_conjecture,
( ~ product(X1,e_5,e_3)
| equalish(X1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_248]) ).
cnf(c_0_251,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_249,c_0_248]) ).
cnf(c_0_252,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_202]) ).
cnf(c_0_253,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(X1,e_3,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_252]) ).
cnf(c_0_254,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(X1,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_248]) ).
cnf(c_0_255,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_5,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_253,c_0_248]) ).
cnf(c_0_256,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_257,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_256]) ).
cnf(c_0_258,negated_conjecture,
( ~ product(e_3,X1,e_3)
| equalish(X1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_143,c_0_256]) ).
cnf(c_0_259,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_257,c_0_256]) ).
cnf(c_0_260,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_202]) ).
cnf(c_0_261,negated_conjecture,
( ~ product(X1,e_5,e_2)
| equalish(X1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_225]) ).
cnf(c_0_262,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_260]) ).
cnf(c_0_263,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_260]),c_0_137]),c_0_262]) ).
cnf(c_0_264,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_263]) ).
cnf(c_0_265,negated_conjecture,
( ~ product(e_2,X1,e_2)
| equalish(X1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_263]) ).
cnf(c_0_266,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_264,c_0_263]) ).
cnf(c_0_267,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_155]) ).
cnf(c_0_268,negated_conjecture,
( ~ product(e_1,X1,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_211]) ).
cnf(c_0_269,negated_conjecture,
( product(e_1,e_5,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_267]),c_0_155]) ).
cnf(c_0_270,negated_conjecture,
( ~ product(X1,e_3,e_4)
| equalish(X1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_215]) ).
cnf(c_0_271,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_151]) ).
cnf(c_0_272,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_137]) ).
cnf(c_0_273,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_272]) ).
cnf(c_0_274,negated_conjecture,
( ~ product(e_2,X1,e_2)
| equalish(X1,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_272]) ).
cnf(c_0_275,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_273,c_0_272]) ).
cnf(c_0_276,negated_conjecture,
( product(e_2,e_1,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_155]) ).
cnf(c_0_277,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_2,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_215]) ).
cnf(c_0_278,negated_conjecture,
product(e_1,e_3,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_276]),c_0_155]) ).
cnf(c_0_279,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_280,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_279]) ).
cnf(c_0_281,negated_conjecture,
( ~ product(e_2,X1,e_2)
| equalish(X1,e_1)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_279]) ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_280,c_0_279]) ).
cnf(c_0_283,plain,
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_42,c_0_46]) ).
cnf(c_0_284,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_285,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_155]) ).
cnf(c_0_286,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_287,plain,
( ~ group_element(X1)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_42,c_0_105]) ).
cnf(c_0_288,negated_conjecture,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_285]),c_0_155]) ).
cnf(c_0_289,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_5)
| 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_139,c_0_286]) ).
cnf(c_0_290,plain,
~ equalish(e_4,e_1),
inference(fof_simplification,[status(thm)],[e_4_is_not_e_1]) ).
cnf(c_0_291,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_287,c_0_284]) ).
cnf(c_0_292,negated_conjecture,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_128,c_0_288]) ).
cnf(c_0_293,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_289,c_0_288]) ).
cnf(c_0_294,plain,
~ equalish(e_4,e_1),
c_0_290 ).
cnf(c_0_295,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_5)
| 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_139,c_0_291]) ).
cnf(c_0_296,negated_conjecture,
( product(e_1,e_4,e_5)
| 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_292,c_0_293]),c_0_294]) ).
cnf(c_0_297,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_295,c_0_215]) ).
cnf(c_0_298,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_139,c_0_296]) ).
cnf(c_0_299,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_4,e_5)
| 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_270,c_0_297]),c_0_104]) ).
cnf(c_0_300,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_298,c_0_288]) ).
cnf(c_0_301,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_299]) ).
cnf(c_0_302,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_139,c_0_300]) ).
cnf(c_0_303,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_4,e_5)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_301,c_0_215]) ).
cnf(c_0_304,plain,
~ equalish(e_1,e_4),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_4]) ).
cnf(c_0_305,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_139,c_0_288]) ).
cnf(c_0_306,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_302,c_0_288]) ).
cnf(c_0_307,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_4)
| product(e_2,e_4,e_3)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_303]) ).
cnf(c_0_308,plain,
~ equalish(e_1,e_4),
c_0_304 ).
cnf(c_0_309,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_310,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_278]) ).
cnf(c_0_311,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_4,e_5)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_278]),c_0_308]) ).
cnf(c_0_312,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_309]) ).
cnf(c_0_313,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_314,negated_conjecture,
( ~ product(e_4,X1,e_4)
| equalish(X1,e_1)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_143,c_0_309]) ).
cnf(c_0_315,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_312,c_0_309]) ).
cnf(c_0_316,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_184,c_0_313]) ).
cnf(c_0_317,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_294]) ).
cnf(c_0_318,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_139,c_0_316]) ).
cnf(c_0_319,negated_conjecture,
( ~ product(X1,e_4,e_5)
| equalish(X1,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_317]) ).
cnf(c_0_320,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_318,c_0_288]) ).
cnf(c_0_321,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_155]) ).
cnf(c_0_322,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_321]),c_0_294]) ).
cnf(c_0_323,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_322]) ).
cnf(c_0_324,negated_conjecture,
( ~ product(e_2,X1,e_2)
| equalish(X1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_322]) ).
cnf(c_0_325,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_323,c_0_322]) ).
cnf(c_0_326,negated_conjecture,
( product(e_2,e_1,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_155]) ).
cnf(c_0_327,plain,
~ equalish(e_4,e_5),
inference(fof_simplification,[status(thm)],[e_4_is_not_e_5]) ).
cnf(c_0_328,negated_conjecture,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_5)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_143,c_0_248]) ).
cnf(c_0_329,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_326]),c_0_155]) ).
cnf(c_0_330,plain,
~ equalish(e_4,e_5),
c_0_327 ).
cnf(c_0_331,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_143,c_0_278]) ).
cnf(c_0_332,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_330]) ).
cnf(c_0_333,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_66]) ).
cnf(c_0_334,negated_conjecture,
product(e_1,e_4,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_333]),c_0_151]) ).
cnf(c_0_335,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_334]),c_0_98]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP128-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n010.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 20 20:00:55 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.26/1.50 % Version: 3.5.1
% 7.26/1.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 7.26/1.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.26/1.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.26/1.50 % Starting new_bool_3 with 300s (1) cores
% 7.26/1.50 % Starting new_bool_1 with 300s (1) cores
% 7.26/1.50 % Starting sh5l with 300s (1) cores
% 7.26/1.50 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3388858 completed with status 0
% 7.26/1.50 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.26/1.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 7.26/1.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.26/1.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.26/1.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.26/1.50 % No SInE strategy applied
% 7.26/1.50 % Search class: FGHNF-FFMM00-SFFFFFNN
% 7.26/1.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.26/1.50 % Starting SubtermCWHack with 136s (1) cores
% 7.26/1.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.26/1.50 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 7.26/1.50 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 7.26/1.50 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.26/1.50 % G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3388866 completed with status 0
% 7.26/1.50 % Result found by G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.26/1.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 7.26/1.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.26/1.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.26/1.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 7.26/1.50 % No SInE strategy applied
% 7.26/1.50 % Search class: FGHNF-FFMM00-SFFFFFNN
% 7.26/1.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.26/1.50 % Starting SubtermCWHack with 136s (1) cores
% 7.26/1.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.26/1.50 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 7.26/1.50 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 7.26/1.50 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.26/1.50 % Preprocessing time : 0.001 s
% 7.26/1.50 % Presaturation interreduction done
% 7.26/1.50
% 7.26/1.50 % Proof found!
% 7.26/1.50 % SZS status Unsatisfiable
% 7.26/1.50 % SZS output start CNFRefutation
% See solution above
% 7.26/1.51 % Parsed axioms : 57
% 7.26/1.51 % Removed by relevancy pruning/SinE : 0
% 7.26/1.51 % Initial clauses : 57
% 7.26/1.51 % Removed in clause preprocessing : 0
% 7.26/1.51 % Initial clauses in saturation : 57
% 7.26/1.51 % Processed clauses : 2155
% 7.26/1.51 % ...of these trivial : 5
% 7.26/1.51 % ...subsumed : 501
% 7.26/1.51 % ...remaining for further processing : 1649
% 7.26/1.51 % Other redundant clauses eliminated : 0
% 7.26/1.51 % Clauses deleted for lack of memory : 0
% 7.26/1.51 % Backward-subsumed : 905
% 7.26/1.51 % Backward-rewritten : 94
% 7.26/1.51 % Generated clauses : 8966
% 7.26/1.51 % ...of the previous two non-redundant : 7015
% 7.26/1.51 % ...aggressively subsumed : 0
% 7.26/1.51 % Contextual simplify-reflections : 18
% 7.26/1.51 % Paramodulations : 8966
% 7.26/1.51 % Factorizations : 0
% 7.26/1.51 % NegExts : 0
% 7.26/1.51 % Equation resolutions : 0
% 7.26/1.51 % Disequality decompositions : 0
% 7.26/1.51 % Total rewrite steps : 2071
% 7.26/1.51 % ...of those cached : 2046
% 7.26/1.51 % Propositional unsat checks : 0
% 7.26/1.51 % Propositional check models : 0
% 7.26/1.51 % Propositional check unsatisfiable : 0
% 7.26/1.51 % Propositional clauses : 0
% 7.26/1.51 % Propositional clauses after purity: 0
% 7.26/1.51 % Propositional unsat core size : 0
% 7.26/1.51 % Propositional preprocessing time : 0.000
% 7.26/1.51 % Propositional encoding time : 0.000
% 7.26/1.51 % Propositional solver time : 0.000
% 7.26/1.51 % Success case prop preproc time : 0.000
% 7.26/1.51 % Success case prop encoding time : 0.000
% 7.26/1.51 % Success case prop solver time : 0.000
% 7.26/1.51 % Current number of processed clauses : 593
% 7.26/1.51 % Positive orientable unit clauses : 36
% 7.26/1.51 % Positive unorientable unit clauses: 0
% 7.26/1.51 % Negative unit clauses : 20
% 7.26/1.51 % Non-unit-clauses : 537
% 7.26/1.51 % Current number of unprocessed clauses: 4114
% 7.26/1.51 % ...number of literals in the above : 40062
% 7.26/1.51 % Current number of archived formulas : 0
% 7.26/1.51 % Current number of archived clauses : 1056
% 7.26/1.51 % Clause-clause subsumption calls (NU) : 165288
% 7.26/1.51 % Rec. Clause-clause subsumption calls : 14044
% 7.26/1.51 % Non-unit clause-clause subsumptions : 1414
% 7.26/1.51 % Unit Clause-clause subsumption calls : 2047
% 7.26/1.51 % Rewrite failures with RHS unbound : 0
% 7.26/1.51 % BW rewrite match attempts : 21
% 7.26/1.51 % BW rewrite match successes : 9
% 7.26/1.51 % Condensation attempts : 0
% 7.26/1.51 % Condensation successes : 0
% 7.26/1.51 % Termbank termtop insertions : 262805
% 7.26/1.51 % Search garbage collected termcells : 114
% 7.26/1.51
% 7.26/1.51 % -------------------------------------------------
% 7.26/1.51 % User time : 0.860 s
% 7.26/1.51 % System time : 0.022 s
% 7.26/1.51 % Total time : 0.882 s
% 7.26/1.51 % Maximum resident set size: 3408 pages
% 7.26/1.51
% 7.26/1.51 % -------------------------------------------------
% 7.26/1.51 % User time : 4.349 s
% 7.26/1.51 % System time : 0.095 s
% 7.26/1.51 % Total time : 4.444 s
% 7.26/1.51 % Maximum resident set size: 4608 pages
% 7.26/1.51 % E exiting
%------------------------------------------------------------------------------