TSTP Solution File: GRP777+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP777+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 08:40:37 EDT 2022
% Result : Theorem 9.34s 2.59s
% Output : CNFRefutation 9.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of clauses : 76 ( 76 unt; 0 nHn; 39 RR)
% Number of literals : 76 ( 75 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
product(product(X1,X2),product(X3,X4)) = product(product(X1,X3),product(X2,X4)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_5) ).
cnf(i_0_6,plain,
product(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_6) ).
cnf(i_0_3,plain,
quotient(product(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_3) ).
cnf(i_0_9,plain,
product(product(a,c),product(c,b)) = product(a,b),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_9) ).
cnf(i_0_4,plain,
product(quotient(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_4) ).
cnf(i_0_1,plain,
difference(X1,product(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_1) ).
cnf(i_0_7,plain,
product(product(product(X1,X2),X2),product(X2,product(X2,X1))) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_7) ).
cnf(i_0_2,plain,
product(X1,difference(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_2) ).
cnf(i_0_10,negated_conjecture,
product(product(c,c),product(esk1_0,c)) != product(product(a,b),product(esk1_0,a)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xq6o3kc3/input.p',i_0_10) ).
cnf(c_0_20,plain,
product(product(X1,X2),product(X3,X4)) = product(product(X1,X3),product(X2,X4)),
i_0_5 ).
cnf(c_0_21,plain,
product(X1,X1) = X1,
i_0_6 ).
cnf(c_0_22,plain,
product(product(X1,X2),product(X3,X2)) = product(product(X1,X3),X2),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
quotient(product(X1,X2),X2) = X1,
i_0_3 ).
cnf(c_0_24,plain,
product(product(X1,X2),X1) = product(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_25,plain,
product(product(X1,X2),product(X1,X3)) = product(X1,product(X2,X3)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
product(product(a,c),product(c,b)) = product(a,b),
i_0_9 ).
cnf(c_0_27,plain,
quotient(product(X1,product(X2,X1)),X1) = product(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
product(quotient(X1,X2),X2) = X1,
i_0_4 ).
cnf(c_0_29,plain,
product(product(product(a,c),X1),product(a,b)) = product(product(a,c),product(X1,product(c,b))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
product(X1,quotient(X2,X1)) = quotient(product(X1,X2),X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
difference(X1,product(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_32,plain,
product(a,product(product(c,a),b)) = product(a,product(c,product(c,b))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24]),c_0_25]),c_0_25]) ).
cnf(c_0_33,plain,
quotient(quotient(product(X1,X2),X1),quotient(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_34,plain,
quotient(product(a,b),product(c,b)) = product(a,c),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_35,plain,
product(product(c,a),b) = product(c,product(c,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_31]) ).
cnf(c_0_36,plain,
quotient(c,product(a,c)) = product(c,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22]),c_0_35]),c_0_23]) ).
cnf(c_0_37,plain,
product(product(a,c),product(product(c,a),product(b,c))) = product(a,product(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_26]),c_0_20]),c_0_25]) ).
cnf(c_0_38,plain,
product(product(c,a),product(b,c)) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_36]),c_0_20]) ).
cnf(c_0_39,plain,
product(product(product(X1,X2),X2),product(X2,product(X2,X1))) = X2,
i_0_7 ).
cnf(c_0_40,plain,
product(product(a,c),c) = product(a,product(b,c)),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
product(product(a,c),product(product(b,c),product(c,a))) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_20]) ).
cnf(c_0_42,plain,
product(X1,difference(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_43,plain,
product(product(b,c),product(c,a)) = difference(product(a,c),c),
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
cnf(c_0_44,plain,
product(X1,product(difference(X1,X2),X3)) = product(X2,product(X1,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_45,plain,
product(difference(product(a,c),c),product(b,c)) = product(product(b,c),c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_43]),c_0_38]) ).
cnf(c_0_46,plain,
product(X1,product(difference(X1,X2),X1)) = product(X2,X1),
inference(spm,[status(thm)],[c_0_24,c_0_42]) ).
cnf(c_0_47,plain,
product(product(a,product(b,c)),c) = product(c,product(product(a,b),c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_22]),c_0_22]) ).
cnf(c_0_48,plain,
product(difference(X1,X2),X1) = difference(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_31,c_0_46]) ).
cnf(c_0_49,plain,
difference(product(X1,X2),product(product(X1,X3),X2)) = product(X3,X2),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_50,plain,
difference(quotient(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_31,c_0_28]) ).
cnf(c_0_51,plain,
product(a,product(b,c)) = product(c,product(a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_47]),c_0_27]) ).
cnf(c_0_52,plain,
product(product(X1,difference(X2,X1)),product(difference(X2,X1),difference(X2,product(X1,X2)))) = difference(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_48]) ).
cnf(c_0_53,plain,
difference(product(c,b),product(c,product(c,b))) = product(a,b),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
cnf(c_0_54,plain,
difference(product(c,b),c) = product(a,c),
inference(spm,[status(thm)],[c_0_50,c_0_36]) ).
cnf(c_0_55,plain,
product(difference(X1,product(product(X2,X1),X1)),product(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_48]),c_0_48]) ).
cnf(c_0_56,plain,
product(product(a,c),c) = product(c,product(a,b)),
inference(rw,[status(thm)],[c_0_40,c_0_51]) ).
cnf(c_0_57,plain,
difference(product(product(X1,X2),X2),X2) = product(X2,product(X2,X1)),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_58,plain,
product(product(c,a),product(a,b)) = product(a,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_54]),c_0_25]),c_0_54]),c_0_20]),c_0_26]) ).
cnf(c_0_59,plain,
difference(product(a,product(c,b)),product(a,b)) = product(c,product(c,b)),
inference(spm,[status(thm)],[c_0_49,c_0_26]) ).
cnf(c_0_60,plain,
product(product(a,c),product(b,a)) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_31]),c_0_20]) ).
cnf(c_0_61,plain,
product(product(a,b),product(product(a,c),product(b,a))) = product(c,product(c,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_25]),c_0_59]),c_0_20]) ).
cnf(c_0_62,plain,
difference(product(a,c),c) = product(b,a),
inference(spm,[status(thm)],[c_0_31,c_0_60]) ).
cnf(c_0_63,plain,
product(product(a,b),c) = product(c,product(c,b)),
inference(rw,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_64,plain,
product(product(b,c),product(c,a)) = product(b,a),
inference(rw,[status(thm)],[c_0_43,c_0_62]) ).
cnf(c_0_65,plain,
product(product(X1,X2),product(product(X3,X4),product(X5,X6))) = product(product(X1,product(X3,X5)),product(X2,product(X4,X6))),
inference(spm,[status(thm)],[c_0_20,c_0_20]) ).
cnf(c_0_66,plain,
product(c,product(product(b,c),product(a,b))) = c,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_63]),c_0_24]),c_0_24]),c_0_31]),c_0_25]) ).
cnf(c_0_67,plain,
difference(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_68,plain,
difference(product(X1,X2),product(X1,product(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
cnf(c_0_69,plain,
product(product(c,b),product(b,a)) = product(b,c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_64]),c_0_38]),c_0_25]),c_0_65]),c_0_43]),c_0_62]) ).
cnf(c_0_70,plain,
product(product(b,c),product(a,b)) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_66]),c_0_67]) ).
cnf(c_0_71,plain,
product(product(b,c),c) = product(b,product(a,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_62]),c_0_25]) ).
cnf(c_0_72,plain,
difference(c,product(b,product(a,c))) = product(b,a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_20]),c_0_70]),c_0_25]) ).
cnf(c_0_73,plain,
quotient(product(b,product(a,c)),c) = product(b,c),
inference(spm,[status(thm)],[c_0_23,c_0_71]) ).
cnf(c_0_74,plain,
product(b,product(a,c)) = product(c,product(b,a)),
inference(spm,[status(thm)],[c_0_42,c_0_72]) ).
cnf(c_0_75,plain,
quotient(product(X1,product(X1,X2)),X1) = difference(product(X2,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_28]),c_0_30]),c_0_30]) ).
cnf(c_0_76,plain,
difference(X1,quotient(product(X1,X2),X1)) = quotient(X2,X1),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_77,plain,
quotient(product(c,product(b,a)),c) = product(b,c),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
quotient(difference(product(X1,X2),X2),X2) = difference(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_30]),c_0_30]),c_0_75]),c_0_28]) ).
cnf(c_0_79,plain,
quotient(product(b,a),c) = difference(c,product(b,c)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
difference(c,product(b,c)) = difference(a,c),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_62]),c_0_79]) ).
cnf(c_0_81,negated_conjecture,
product(product(c,c),product(esk1_0,c)) != product(product(a,b),product(esk1_0,a)),
i_0_10 ).
cnf(c_0_82,plain,
product(product(X1,X2),product(difference(X1,X3),X4)) = product(X3,product(X2,X4)),
inference(spm,[status(thm)],[c_0_20,c_0_42]) ).
cnf(c_0_83,plain,
product(difference(a,c),c) = product(b,a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_80]),c_0_71]),c_0_74]),c_0_31]) ).
cnf(c_0_84,negated_conjecture,
product(product(a,esk1_0),product(b,a)) != product(c,product(esk1_0,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_20]),c_0_21]) ).
cnf(c_0_85,plain,
product(product(a,X1),product(b,a)) = product(c,product(X1,c)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP777+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 08:12:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 9.34/2.59 # ENIGMATIC: Solved by autoschedule:
% 9.34/2.59 # No SInE strategy applied
% 9.34/2.59 # Trying AutoSched0 for 150 seconds
% 9.34/2.59 # AutoSched0-Mode selected heuristic G_E___107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 9.34/2.59 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.34/2.59 #
% 9.34/2.59 # Preprocessing time : 0.018 s
% 9.34/2.59 # Presaturation interreduction done
% 9.34/2.59
% 9.34/2.59 # Proof found!
% 9.34/2.59 # SZS status Theorem
% 9.34/2.59 # SZS output start CNFRefutation
% See solution above
% 9.34/2.59 # Training examples: 0 positive, 0 negative
% 9.34/2.59
% 9.34/2.59 # -------------------------------------------------
% 9.34/2.59 # User time : 0.131 s
% 9.34/2.59 # System time : 0.009 s
% 9.34/2.59 # Total time : 0.141 s
% 9.34/2.59 # Maximum resident set size: 7120 pages
% 9.34/2.59
%------------------------------------------------------------------------------