TMTP Model File: GRP395-1.004-Sat
View Problem
- Process Model
%------------------------------------------------------------------------------
% File : ET---1.0
% Problem : GRP395-1 : TPTP v6.2.0. Released v2.5.0.
% Transform : none
% Format : tptp:raw
% Command : do_ET %s
% Computer : n021.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16127.75MB
% OS : Linux 2.6.32-504.16.2.el6.x86_64
% CPULimit : 300s
% DateTime : Fri Jun 12 20:03:17 EDT 2015
% Result : Satisfiable 0.02s
% Output : Saturation 0.02s
% Verified :
% Statistics : Number of clauses : 77 ( 353 expanded)
% Number of leaves : 11 ( 75 expanded)
% Depth : 8
% Number of atoms : 165 ( 707 expanded)
% Number of equality atoms : 11 ( 40 expanded)
% Maximal clause size : 4 ( 2 average)
% Maximal term depth : 3 ( 1 average)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: ET---1.0 format not known, defaulting to TPTP
cnf(c_0_0,axiom,
( product(X1,X4,X5,X7)
| ~ product(X1,X2,X3,X4)
| ~ product(X1,X3,X5,X6)
| ~ product(X1,X2,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',associativity2)).
cnf(c_0_1,axiom,
( product(X1,inverse(X1,X2),X2,identity_for(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',left_inverse)).
cnf(c_0_2,axiom,
( product(X1,X2,identity_for(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',right_identity)).
cnf(c_0_3,axiom,
( X5 = X4
| ~ product(X1,X2,X3,X4)
| ~ product(X1,X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',total_function2)).
cnf(c_0_4,axiom,
( product(X1,identity_for(X1),X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',left_identity)).
cnf(c_0_5,axiom,
( product(X1,X2,X6,X7)
| ~ product(X1,X2,X3,X4)
| ~ product(X1,X3,X5,X6)
| ~ product(X1,X4,X5,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',associativity1)).
cnf(c_0_6,axiom,
( product(X2,X1,X3,multiply(X2,X1,X3))
| ~ group_member(X1,X2)
| ~ group_member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',total_function1_1)).
cnf(c_0_7,axiom,
( group_member(identity_for(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',identity_in_group)).
cnf(c_0_8,axiom,
( product(X1,X2,inverse(X1,X2),identity_for(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',right_inverse)).
cnf(c_0_9,axiom,
( group_member(multiply(X2,X1,X3),X2)
| ~ group_member(X1,X2)
| ~ group_member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',total_function1_2)).
cnf(c_0_10,axiom,
( group_member(inverse(X2,X1),X2)
| ~ group_member(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax',inverse_in_group)).
cnf(c_0_11,axiom,
( product(X1,X4,X5,X7)
| ~ product(X1,X3,X5,X6)
| ~ product(X1,X2,X6,X7)
| ~ product(X1,X2,X3,X4) ),
c_0_0).
cnf(c_0_12,axiom,
( product(X1,inverse(X1,X2),X2,identity_for(X1)) ),
c_0_1).
cnf(c_0_13,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,X3,X6)
| ~ product(X1,X7,X6,X4)
| ~ product(X1,X7,X5,X2) ),
c_0_11).
cnf(c_0_14,plain,
( product(X1,inverse(X1,X2),X2,identity_for(X1)) ),
c_0_12).
cnf(c_0_15,axiom,
( product(X1,X2,identity_for(X1),X2) ),
c_0_2).
cnf(c_0_16,axiom,
( X4 = X5
| ~ product(X1,X2,X3,X5)
| ~ product(X1,X2,X3,X4) ),
c_0_3).
cnf(c_0_17,axiom,
( product(X1,identity_for(X1),X2,X2) ),
c_0_4).
cnf(c_0_18,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,X3,X6)
| ~ product(X1,X7,X6,X4)
| ~ product(X1,X7,X5,X2) ),
c_0_13,
[final]).
cnf(c_0_19,plain,
( product(X1,inverse(X1,X2),X2,identity_for(X1)) ),
c_0_14,
[final]).
cnf(c_0_20,plain,
( product(X1,X2,identity_for(X1),X2) ),
c_0_15).
cnf(c_0_21,axiom,
( product(X1,X2,X6,X7)
| ~ product(X1,X4,X5,X7)
| ~ product(X1,X3,X5,X6)
| ~ product(X1,X2,X3,X4) ),
c_0_5).
cnf(c_0_22,axiom,
( product(X2,X1,X3,multiply(X2,X1,X3))
| ~ group_member(X3,X2)
| ~ group_member(X1,X2) ),
c_0_6).
cnf(c_0_23,axiom,
( group_member(identity_for(X1),X1) ),
c_0_7).
cnf(c_0_24,axiom,
( product(X1,X2,inverse(X1,X2),identity_for(X1)) ),
c_0_8).
cnf(c_0_25,plain,
( X1 = X2
| ~ product(X3,X4,X5,X2)
| ~ product(X3,X4,X5,X1) ),
c_0_16).
cnf(c_0_26,plain,
( product(X1,identity_for(X1),X2,X2) ),
c_0_17).
cnf(c_0_27,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,inverse(X1,X3),X2)
| ~ product(X1,X5,identity_for(X1),X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_19,theory(equality)]),
[final]).
cnf(c_0_28,plain,
( product(X1,X2,identity_for(X1),X2) ),
c_0_20,
[final]).
cnf(c_0_29,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,X6,X4)
| ~ product(X1,X7,X6,X3)
| ~ product(X1,X2,X7,X5) ),
c_0_21).
cnf(c_0_30,plain,
( product(X1,X2,X3,multiply(X1,X2,X3))
| ~ group_member(X3,X1)
| ~ group_member(X2,X1) ),
c_0_22).
cnf(c_0_31,plain,
( group_member(identity_for(X1),X1) ),
c_0_23).
cnf(c_0_32,plain,
( product(X1,X2,inverse(X1,X2),identity_for(X1)) ),
c_0_24).
cnf(c_0_33,plain,
( X1 = X2
| ~ product(X3,X4,X5,X2)
| ~ product(X3,X4,X5,X1) ),
c_0_25,
[final]).
cnf(c_0_34,plain,
( product(X1,identity_for(X1),X2,X2) ),
c_0_26,
[final]).
cnf(c_0_35,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X4,inverse(X1,X3),X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28,theory(equality)]),
[final]).
cnf(c_0_36,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,X6,X4)
| ~ product(X1,X7,X6,X3)
| ~ product(X1,X2,X7,X5) ),
c_0_29,
[final]).
cnf(c_0_37,axiom,
( group_member(multiply(X2,X1,X3),X2)
| ~ group_member(X3,X2)
| ~ group_member(X1,X2) ),
c_0_9).
cnf(c_0_38,plain,
( product(X1,X2,X3,multiply(X1,X2,X3))
| ~ group_member(X3,X1)
| ~ group_member(X2,X1) ),
c_0_30,
[final]).
cnf(c_0_39,plain,
( group_member(identity_for(X1),X1) ),
c_0_31,
[final]).
cnf(c_0_40,plain,
( product(X1,X2,inverse(X1,X2),identity_for(X1)) ),
c_0_32,
[final]).
cnf(c_0_41,plain,
( X1 = X2
| ~ product(X3,identity_for(X3),X2,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34,theory(equality)]),
[final]).
cnf(c_0_42,plain,
( product(X1,identity_for(X1),X2,inverse(X1,inverse(X1,X2))) ),
inference(spm,[status(thm)],[c_0_35,c_0_19,theory(equality)])).
cnf(c_0_43,plain,
( product(X1,X2,X3,identity_for(X1))
| ~ product(X1,X2,X4,inverse(X1,X5))
| ~ product(X1,X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_19,theory(equality)]),
[final]).
cnf(c_0_44,plain,
( group_member(multiply(X1,X2,X3),X1)
| ~ group_member(X3,X1)
| ~ group_member(X2,X1) ),
c_0_37).
cnf(c_0_45,axiom,
( group_member(inverse(X2,X1),X2)
| ~ group_member(X1,X2) ),
c_0_10).
cnf(c_0_46,plain,
( product(X1,X2,identity_for(X1),multiply(X1,X2,identity_for(X1)))
| ~ group_member(X2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39,theory(equality)]),
[final]).
cnf(c_0_47,plain,
( product(X1,X2,X3,identity_for(X1))
| ~ product(X1,X4,inverse(X1,X5),X3)
| ~ product(X1,X2,X4,X5) ),
inference(spm,[status(thm)],[c_0_36,c_0_40,theory(equality)]),
[final]).
cnf(c_0_48,plain,
( inverse(X1,inverse(X1,X2)) = X2 ),
inference(spm,[status(thm)],[c_0_41,c_0_42,theory(equality)]),
[final]).
cnf(c_0_49,plain,
( product(X1,identity_for(X1),X2,identity_for(X1))
| ~ product(X1,inverse(X1,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_34,theory(equality)]),
[final]).
cnf(c_0_50,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X2,X5,identity_for(X1))
| ~ product(X1,X5,X4,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_34,theory(equality)]),
[final]).
cnf(c_0_51,plain,
( product(X1,X2,identity_for(X1),X3)
| ~ product(X1,X4,X5,X3)
| ~ product(X1,X4,X5,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_28,theory(equality)]),
[final]).
cnf(c_0_52,plain,
( group_member(multiply(X1,X2,X3),X1)
| ~ group_member(X3,X1)
| ~ group_member(X2,X1) ),
c_0_44,
[final]).
cnf(c_0_53,plain,
( group_member(inverse(X1,X2),X1)
| ~ group_member(X2,X1) ),
c_0_45).
cnf(c_0_54,plain,
( X1 = X2
| ~ product(X3,X2,identity_for(X3),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_28,theory(equality)]),
[final]).
cnf(c_0_55,plain,
( product(X1,identity_for(X1),identity_for(X1),multiply(X1,identity_for(X1),identity_for(X1))) ),
inference(spm,[status(thm)],[c_0_46,c_0_39,theory(equality)])).
cnf(c_0_56,plain,
( product(X1,X2,inverse(X1,X3),identity_for(X1))
| ~ product(X1,X2,identity_for(X1),X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_34,theory(equality)]),
[final]).
cnf(c_0_57,plain,
( product(X1,X2,identity_for(X1),identity_for(X1))
| ~ product(X1,X2,X3,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_19,theory(equality)]),c_0_48,theory(equality)]),
[final]).
cnf(c_0_58,plain,
( product(X1,identity_for(X1),X2,identity_for(X1))
| ~ product(X1,X3,inverse(X1,X3),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_48,theory(equality)]),
[final]).
cnf(c_0_59,plain,
( product(X1,inverse(X1,X2),X3,identity_for(X1))
| ~ product(X1,identity_for(X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_28,theory(equality)]),
[final]).
cnf(c_0_60,plain,
( product(X1,X2,inverse(X1,X3),X4)
| ~ product(X1,X5,identity_for(X1),X4)
| ~ product(X1,X5,X3,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_40,theory(equality)]),
[final]).
cnf(c_0_61,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,identity_for(X1),X3)
| ~ product(X1,X2,X5,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_28,theory(equality)]),
[final]).
cnf(c_0_62,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,inverse(X1,X2),X4,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_40,theory(equality)]),
[final]).
cnf(c_0_63,plain,
( product(X1,identity_for(X1),X2,X3)
| ~ product(X1,identity_for(X1),X3,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_34,theory(equality)]),
[final]).
cnf(c_0_64,plain,
( product(X1,inverse(X1,X2),X3,X4)
| ~ product(X1,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_19,theory(equality)]),
[final]).
cnf(c_0_65,plain,
( product(X1,X2,inverse(X1,X3),X4)
| ~ product(X1,X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_48,theory(equality)]),
[final]).
cnf(c_0_66,plain,
( product(X1,X2,identity_for(X1),identity_for(X1))
| ~ product(X1,X3,inverse(X1,X3),X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_40,theory(equality)]),
[final]).
cnf(c_0_67,plain,
( product(X1,X2,identity_for(X1),identity_for(X1))
| ~ product(X1,inverse(X1,X3),X3,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_19,theory(equality)]),
[final]).
cnf(c_0_68,plain,
( product(X1,X2,identity_for(X1),X3)
| ~ product(X1,X3,identity_for(X1),X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_28,theory(equality)]),
[final]).
cnf(c_0_69,plain,
( product(X1,X2,identity_for(X1),X3)
| ~ product(X1,identity_for(X1),X3,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_34,theory(equality)]),
[final]).
cnf(c_0_70,plain,
( product(X1,X2,X3,X4)
| ~ product(X1,X5,identity_for(X1),X2)
| ~ product(X1,X5,X3,X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_34,theory(equality)]),
[final]).
cnf(c_0_71,plain,
( group_member(multiply(X1,X2,identity_for(X1)),X1)
| ~ group_member(X2,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_39,theory(equality)]),
[final]).
cnf(c_0_72,plain,
( X1 = identity_for(X2)
| ~ product(X2,X3,inverse(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_40,theory(equality)]),
[final]).
cnf(c_0_73,plain,
( X1 = identity_for(X2)
| ~ product(X2,inverse(X2,X3),X3,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_19,theory(equality)]),
[final]).
cnf(c_0_74,plain,
( group_member(inverse(X1,X2),X1)
| ~ group_member(X2,X1) ),
c_0_53,
[final]).
cnf(c_0_75,plain,
( multiply(X1,identity_for(X1),identity_for(X1)) = identity_for(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55,theory(equality)]),
[final]).
cnf(c_0_76,plain,
( inverse(X1,identity_for(X1)) = identity_for(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_40,theory(equality)]),
[final]).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP395-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.03 % Command : do_ET %s
% 0.02/1.08 % Computer : n021.star.cs.uiowa.edu
% 0.02/1.08 % Model : x86_64 x86_64
% 0.02/1.08 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/1.08 % Memory : 16127.75MB
% 0.02/1.08 % OS : Linux 2.6.32-504.16.2.el6.x86_64
% 0.02/1.08 % CPULimit : 300
% 0.02/1.08 % DateTime : Fri Jun 12 11:59:39 CDT 2015
% 0.02/1.08 % CPUTime :
% 0.02/1.13 # No SInE strategy applied
% 0.02/1.13 # Trying AutoSched4 for 18 seconds
% 0.02/1.14 # AutoSched4-Mode selected heuristic G_E___042_C18_F1_PI_AE_Q4_CS_SP_PS_S4S
% 0.02/1.14 # and selection function SelectNewComplexAHPNS.
% 0.02/1.14 #
% 0.02/1.14 # Preprocessing time : 0.005 s
% 0.02/1.14 # Presaturation interreduction done
% 0.02/1.14
% 0.02/1.14 # No proof found!
% 0.02/1.14 # SZS status Satisfiable
% 0.02/1.14 # SZS output start Saturation.
% 0.02/1.14 cnf(c_0_0,axiom,(product(X1,X4,X5,X7)|~product(X1,X2,X3,X4)|~product(X1,X3,X5,X6)|~product(X1,X2,X6,X7)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', associativity2)).
% 0.02/1.14 cnf(c_0_1,axiom,(product(X1,inverse(X1,X2),X2,identity_for(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', left_inverse)).
% 0.02/1.14 cnf(c_0_2,axiom,(product(X1,X2,identity_for(X1),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', right_identity)).
% 0.02/1.14 cnf(c_0_3,axiom,(X5=X4|~product(X1,X2,X3,X4)|~product(X1,X2,X3,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', total_function2)).
% 0.02/1.14 cnf(c_0_4,axiom,(product(X1,identity_for(X1),X2,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', left_identity)).
% 0.02/1.14 cnf(c_0_5,axiom,(product(X1,X2,X6,X7)|~product(X1,X2,X3,X4)|~product(X1,X3,X5,X6)|~product(X1,X4,X5,X7)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', associativity1)).
% 0.02/1.14 cnf(c_0_6,axiom,(product(X2,X1,X3,multiply(X2,X1,X3))|~group_member(X1,X2)|~group_member(X3,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', total_function1_1)).
% 0.02/1.14 cnf(c_0_7,axiom,(group_member(identity_for(X1),X1)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', identity_in_group)).
% 0.02/1.14 cnf(c_0_8,axiom,(product(X1,X2,inverse(X1,X2),identity_for(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', right_inverse)).
% 0.02/1.14 cnf(c_0_9,axiom,(group_member(multiply(X2,X1,X3),X2)|~group_member(X1,X2)|~group_member(X3,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', total_function1_2)).
% 0.02/1.14 cnf(c_0_10,axiom,(group_member(inverse(X2,X1),X2)|~group_member(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP006-0.ax', inverse_in_group)).
% 0.02/1.14 cnf(c_0_11,axiom,(product(X1,X4,X5,X7)|~product(X1,X3,X5,X6)|~product(X1,X2,X6,X7)|~product(X1,X2,X3,X4)), c_0_0).
% 0.02/1.14 cnf(c_0_12,axiom,(product(X1,inverse(X1,X2),X2,identity_for(X1))), c_0_1).
% 0.02/1.14 cnf(c_0_13,plain,(product(X1,X2,X3,X4)|~product(X1,X5,X3,X6)|~product(X1,X7,X6,X4)|~product(X1,X7,X5,X2)), c_0_11).
% 0.02/1.14 cnf(c_0_14,plain,(product(X1,inverse(X1,X2),X2,identity_for(X1))), c_0_12).
% 0.02/1.14 cnf(c_0_15,axiom,(product(X1,X2,identity_for(X1),X2)), c_0_2).
% 0.02/1.14 cnf(c_0_16,axiom,(X4=X5|~product(X1,X2,X3,X5)|~product(X1,X2,X3,X4)), c_0_3).
% 0.02/1.14 cnf(c_0_17,axiom,(product(X1,identity_for(X1),X2,X2)), c_0_4).
% 0.02/1.14 cnf(c_0_18,plain,(product(X1,X2,X3,X4)|~product(X1,X5,X3,X6)|~product(X1,X7,X6,X4)|~product(X1,X7,X5,X2)), c_0_13, ['final']).
% 0.02/1.14 cnf(c_0_19,plain,(product(X1,inverse(X1,X2),X2,identity_for(X1))), c_0_14, ['final']).
% 0.02/1.14 cnf(c_0_20,plain,(product(X1,X2,identity_for(X1),X2)), c_0_15).
% 0.02/1.14 cnf(c_0_21,axiom,(product(X1,X2,X6,X7)|~product(X1,X4,X5,X7)|~product(X1,X3,X5,X6)|~product(X1,X2,X3,X4)), c_0_5).
% 0.02/1.14 cnf(c_0_22,axiom,(product(X2,X1,X3,multiply(X2,X1,X3))|~group_member(X3,X2)|~group_member(X1,X2)), c_0_6).
% 0.02/1.14 cnf(c_0_23,axiom,(group_member(identity_for(X1),X1)), c_0_7).
% 0.02/1.14 cnf(c_0_24,axiom,(product(X1,X2,inverse(X1,X2),identity_for(X1))), c_0_8).
% 0.02/1.14 cnf(c_0_25,plain,(X1=X2|~product(X3,X4,X5,X2)|~product(X3,X4,X5,X1)), c_0_16).
% 0.02/1.14 cnf(c_0_26,plain,(product(X1,identity_for(X1),X2,X2)), c_0_17).
% 0.02/1.14 cnf(c_0_27,plain,(product(X1,X2,X3,X4)|~product(X1,X5,inverse(X1,X3),X2)|~product(X1,X5,identity_for(X1),X4)), inference(spm,[status(thm)],[c_0_18, c_0_19, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_28,plain,(product(X1,X2,identity_for(X1),X2)), c_0_20, ['final']).
% 0.02/1.14 cnf(c_0_29,plain,(product(X1,X2,X3,X4)|~product(X1,X5,X6,X4)|~product(X1,X7,X6,X3)|~product(X1,X2,X7,X5)), c_0_21).
% 0.02/1.14 cnf(c_0_30,plain,(product(X1,X2,X3,multiply(X1,X2,X3))|~group_member(X3,X1)|~group_member(X2,X1)), c_0_22).
% 0.02/1.14 cnf(c_0_31,plain,(group_member(identity_for(X1),X1)), c_0_23).
% 0.02/1.14 cnf(c_0_32,plain,(product(X1,X2,inverse(X1,X2),identity_for(X1))), c_0_24).
% 0.02/1.14 cnf(c_0_33,plain,(X1=X2|~product(X3,X4,X5,X2)|~product(X3,X4,X5,X1)), c_0_25, ['final']).
% 0.02/1.14 cnf(c_0_34,plain,(product(X1,identity_for(X1),X2,X2)), c_0_26, ['final']).
% 0.02/1.14 cnf(c_0_35,plain,(product(X1,X2,X3,X4)|~product(X1,X4,inverse(X1,X3),X2)), inference(spm,[status(thm)],[c_0_27, c_0_28, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_36,plain,(product(X1,X2,X3,X4)|~product(X1,X5,X6,X4)|~product(X1,X7,X6,X3)|~product(X1,X2,X7,X5)), c_0_29, ['final']).
% 0.02/1.14 cnf(c_0_37,axiom,(group_member(multiply(X2,X1,X3),X2)|~group_member(X3,X2)|~group_member(X1,X2)), c_0_9).
% 0.02/1.14 cnf(c_0_38,plain,(product(X1,X2,X3,multiply(X1,X2,X3))|~group_member(X3,X1)|~group_member(X2,X1)), c_0_30, ['final']).
% 0.02/1.14 cnf(c_0_39,plain,(group_member(identity_for(X1),X1)), c_0_31, ['final']).
% 0.02/1.14 cnf(c_0_40,plain,(product(X1,X2,inverse(X1,X2),identity_for(X1))), c_0_32, ['final']).
% 0.02/1.14 cnf(c_0_41,plain,(X1=X2|~product(X3,identity_for(X3),X2,X1)), inference(spm,[status(thm)],[c_0_33, c_0_34, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_42,plain,(product(X1,identity_for(X1),X2,inverse(X1,inverse(X1,X2)))), inference(spm,[status(thm)],[c_0_35, c_0_19, theory(equality)])).
% 0.02/1.14 cnf(c_0_43,plain,(product(X1,X2,X3,identity_for(X1))|~product(X1,X2,X4,inverse(X1,X5))|~product(X1,X4,X5,X3)), inference(spm,[status(thm)],[c_0_36, c_0_19, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_44,plain,(group_member(multiply(X1,X2,X3),X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_37).
% 0.02/1.14 cnf(c_0_45,axiom,(group_member(inverse(X2,X1),X2)|~group_member(X1,X2)), c_0_10).
% 0.02/1.14 cnf(c_0_46,plain,(product(X1,X2,identity_for(X1),multiply(X1,X2,identity_for(X1)))|~group_member(X2,X1)), inference(spm,[status(thm)],[c_0_38, c_0_39, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_47,plain,(product(X1,X2,X3,identity_for(X1))|~product(X1,X4,inverse(X1,X5),X3)|~product(X1,X2,X4,X5)), inference(spm,[status(thm)],[c_0_36, c_0_40, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_48,plain,(inverse(X1,inverse(X1,X2))=X2), inference(spm,[status(thm)],[c_0_41, c_0_42, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_49,plain,(product(X1,identity_for(X1),X2,identity_for(X1))|~product(X1,inverse(X1,X3),X3,X2)), inference(spm,[status(thm)],[c_0_43, c_0_34, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_50,plain,(product(X1,X2,X3,X4)|~product(X1,X2,X5,identity_for(X1))|~product(X1,X5,X4,X3)), inference(spm,[status(thm)],[c_0_36, c_0_34, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_51,plain,(product(X1,X2,identity_for(X1),X3)|~product(X1,X4,X5,X3)|~product(X1,X4,X5,X2)), inference(spm,[status(thm)],[c_0_18, c_0_28, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_52,plain,(group_member(multiply(X1,X2,X3),X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_44, ['final']).
% 0.02/1.14 cnf(c_0_53,plain,(group_member(inverse(X1,X2),X1)|~group_member(X2,X1)), c_0_45).
% 0.02/1.14 cnf(c_0_54,plain,(X1=X2|~product(X3,X2,identity_for(X3),X1)), inference(spm,[status(thm)],[c_0_33, c_0_28, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_55,plain,(product(X1,identity_for(X1),identity_for(X1),multiply(X1,identity_for(X1),identity_for(X1)))), inference(spm,[status(thm)],[c_0_46, c_0_39, theory(equality)])).
% 0.02/1.14 cnf(c_0_56,plain,(product(X1,X2,inverse(X1,X3),identity_for(X1))|~product(X1,X2,identity_for(X1),X3)), inference(spm,[status(thm)],[c_0_47, c_0_34, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_57,plain,(product(X1,X2,identity_for(X1),identity_for(X1))|~product(X1,X2,X3,X3)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_19, theory(equality)]), c_0_48, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_58,plain,(product(X1,identity_for(X1),X2,identity_for(X1))|~product(X1,X3,inverse(X1,X3),X2)), inference(spm,[status(thm)],[c_0_49, c_0_48, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_59,plain,(product(X1,inverse(X1,X2),X3,identity_for(X1))|~product(X1,identity_for(X1),X2,X3)), inference(spm,[status(thm)],[c_0_43, c_0_28, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_60,plain,(product(X1,X2,inverse(X1,X3),X4)|~product(X1,X5,identity_for(X1),X4)|~product(X1,X5,X3,X2)), inference(spm,[status(thm)],[c_0_18, c_0_40, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_61,plain,(product(X1,X2,X3,X4)|~product(X1,X5,identity_for(X1),X3)|~product(X1,X2,X5,X4)), inference(spm,[status(thm)],[c_0_36, c_0_28, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_62,plain,(product(X1,X2,X3,X4)|~product(X1,inverse(X1,X2),X4,X3)), inference(spm,[status(thm)],[c_0_50, c_0_40, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_63,plain,(product(X1,identity_for(X1),X2,X3)|~product(X1,identity_for(X1),X3,X2)), inference(spm,[status(thm)],[c_0_50, c_0_34, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_64,plain,(product(X1,inverse(X1,X2),X3,X4)|~product(X1,X2,X4,X3)), inference(spm,[status(thm)],[c_0_50, c_0_19, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_65,plain,(product(X1,X2,inverse(X1,X3),X4)|~product(X1,X4,X3,X2)), inference(spm,[status(thm)],[c_0_35, c_0_48, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_66,plain,(product(X1,X2,identity_for(X1),identity_for(X1))|~product(X1,X3,inverse(X1,X3),X2)), inference(spm,[status(thm)],[c_0_51, c_0_40, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_67,plain,(product(X1,X2,identity_for(X1),identity_for(X1))|~product(X1,inverse(X1,X3),X3,X2)), inference(spm,[status(thm)],[c_0_51, c_0_19, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_68,plain,(product(X1,X2,identity_for(X1),X3)|~product(X1,X3,identity_for(X1),X2)), inference(spm,[status(thm)],[c_0_51, c_0_28, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_69,plain,(product(X1,X2,identity_for(X1),X3)|~product(X1,identity_for(X1),X3,X2)), inference(spm,[status(thm)],[c_0_51, c_0_34, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_70,plain,(product(X1,X2,X3,X4)|~product(X1,X5,identity_for(X1),X2)|~product(X1,X5,X3,X4)), inference(spm,[status(thm)],[c_0_18, c_0_34, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_71,plain,(group_member(multiply(X1,X2,identity_for(X1)),X1)|~group_member(X2,X1)), inference(spm,[status(thm)],[c_0_52, c_0_39, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_72,plain,(X1=identity_for(X2)|~product(X2,X3,inverse(X2,X3),X1)), inference(spm,[status(thm)],[c_0_33, c_0_40, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_73,plain,(X1=identity_for(X2)|~product(X2,inverse(X2,X3),X3,X1)), inference(spm,[status(thm)],[c_0_33, c_0_19, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_74,plain,(group_member(inverse(X1,X2),X1)|~group_member(X2,X1)), c_0_53, ['final']).
% 0.02/1.14 cnf(c_0_75,plain,(multiply(X1,identity_for(X1),identity_for(X1))=identity_for(X1)), inference(spm,[status(thm)],[c_0_54, c_0_55, theory(equality)]), ['final']).
% 0.02/1.14 cnf(c_0_76,plain,(inverse(X1,identity_for(X1))=identity_for(X1)), inference(spm,[status(thm)],[c_0_41, c_0_40, theory(equality)]), ['final']).
% 0.02/1.14 # SZS output end Saturation.
% 0.02/1.14 # Parsed axioms : 11
% 0.02/1.14 # Removed by relevancy pruning/SinE : 0
% 0.02/1.14 # Initial clauses : 11
% 0.02/1.14 # Removed in clause preprocessing : 0
% 0.02/1.14 # Initial clauses in saturation : 11
% 0.02/1.14 # Processed clauses : 90
% 0.02/1.14 # ...of these trivial : 1
% 0.02/1.14 # ...subsumed : 28
% 0.02/1.14 # ...remaining for further processing : 61
% 0.02/1.14 # Other redundant clauses eliminated : 0
% 0.02/1.14 # Clauses deleted for lack of memory : 0
% 0.02/1.14 # Backward-subsumed : 0
% 0.02/1.14 # Backward-rewritten : 8
% 0.02/1.14 # Generated clauses : 169
% 0.02/1.14 # ...of the previous two non-trivial : 113
% 0.02/1.14 # Contextual simplify-reflections : 0
% 0.02/1.14 # Paramodulations : 169
% 0.02/1.14 # Factorizations : 0
% 0.02/1.14 # Equation resolutions : 0
% 0.02/1.14 # Current number of processed clauses : 42
% 0.02/1.14 # Positive orientable unit clauses : 8
% 0.02/1.14 # Positive unorientable unit clauses: 0
% 0.02/1.14 # Negative unit clauses : 0
% 0.02/1.14 # Non-unit-clauses : 34
% 0.02/1.14 # Current number of unprocessed clauses: 0
% 0.02/1.14 # ...number of literals in the above : 0
% 0.02/1.14 # Clause-clause subsumption calls (NU) : 648
% 0.02/1.14 # Rec. Clause-clause subsumption calls : 618
% 0.02/1.14 # Non-unit clause-clause subsumptions : 28
% 0.02/1.14 # Unit Clause-clause subsumption calls : 1
% 0.02/1.14 # Rewrite failures with RHS unbound : 0
% 0.02/1.14 # BW rewrite match attempts : 14
% 0.02/1.14 # BW rewrite match successes : 2
% 0.02/1.14 # Condensation attempts : 0
% 0.02/1.14 # Condensation successes : 0
% 0.02/1.14
% 0.02/1.14 # -------------------------------------------------
% 0.02/1.14 # User time : 0.008 s
% 0.02/1.14 # System time : 0.000 s
% 0.02/1.14 # Total time : 0.008 s
% 0.02/1.14 # Maximum resident set size: 2588 pages
% 0.02/1.14
% 0.02/1.14 # -------------------------------------------------
% 0.02/1.14 # User time : 0.029 s
% 0.02/1.14 # System time : 0.005 s
% 0.02/1.14 # Total time : 0.034 s
% 0.02/1.14 # Maximum resident set size: 4008 pages
% 0.02/1.14 0.02user 0.00system 0:00.03elapsed 88%CPU (0avgtext+0avgdata 16032maxresident)k
% 0.02/1.14 0inputs+936outputs (0major+2957minor)pagefaults 0swaps
%------------------------------------------------------------------------------