%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP780+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 08:40:38 EDT 2022
% Result : Theorem 7.31s 2.34s
% Output : CNFRefutation 7.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 66 ( 62 unt; 0 nHn; 37 RR)
% Number of literals : 70 ( 57 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 68 ( 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-yi4pyz9n/input.p',i_0_5) ).
cnf(i_0_6,plain,
product(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_6) ).
cnf(i_0_3,plain,
quotient(product(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_3) ).
cnf(i_0_4,plain,
product(quotient(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_4) ).
cnf(i_0_9,plain,
( product(X1,X2) = product(X2,X3)
| ~ d(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_9) ).
cnf(i_0_12,plain,
d(b1,b2,b3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_12) ).
cnf(i_0_13,plain,
d(c1,c2,c3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_13) ).
cnf(i_0_2,plain,
product(X1,difference(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_2) ).
cnf(i_0_1,plain,
difference(X1,product(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/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-yi4pyz9n/input.p',i_0_7) ).
cnf(i_0_11,plain,
d(a1,a2,a3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_11) ).
cnf(i_0_14,negated_conjecture,
~ d(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2)),product(product(a3,b2),product(c1,a3))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_14) ).
cnf(i_0_8,plain,
( d(X1,X2,X3)
| product(X1,X2) != product(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yi4pyz9n/input.p',i_0_8) ).
cnf(c_0_28,plain,
product(product(X1,X2),product(X3,X4)) = product(product(X1,X3),product(X2,X4)),
i_0_5 ).
cnf(c_0_29,plain,
product(X1,X1) = X1,
i_0_6 ).
cnf(c_0_30,plain,
product(product(X1,X2),product(X3,X2)) = product(product(X1,X3),X2),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,plain,
quotient(product(X1,X2),X2) = X1,
i_0_3 ).
cnf(c_0_32,plain,
product(product(X1,X2),X1) = product(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_33,plain,
quotient(product(X1,product(X2,X1)),X1) = product(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
product(quotient(X1,X2),X2) = X1,
i_0_4 ).
cnf(c_0_35,plain,
( product(X1,X2) = product(X2,X3)
| ~ d(X1,X2,X3) ),
i_0_9 ).
cnf(c_0_36,plain,
d(b1,b2,b3),
i_0_12 ).
cnf(c_0_37,plain,
quotient(product(X1,X2),X1) = product(X1,quotient(X2,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
product(b2,b3) = product(b1,b2),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
d(c1,c2,c3),
i_0_13 ).
cnf(c_0_40,plain,
product(X1,difference(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_41,plain,
difference(X1,product(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_42,plain,
product(b2,quotient(b3,b2)) = b1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_31]) ).
cnf(c_0_43,plain,
product(c2,c3) = product(c1,c2),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_44,plain,
product(product(b1,b2),product(X1,b3)) = product(product(b2,X1),b3),
inference(spm,[status(thm)],[c_0_30,c_0_38]) ).
cnf(c_0_45,plain,
product(X1,product(difference(X1,X2),X1)) = product(X2,X1),
inference(spm,[status(thm)],[c_0_32,c_0_40]) ).
cnf(c_0_46,plain,
quotient(b3,b2) = difference(b2,b1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
product(c2,quotient(c3,c2)) = c1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_43]),c_0_31]) ).
cnf(c_0_48,plain,
product(product(b1,X1),product(b1,b2)) = product(product(b2,X1),b3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_44]),c_0_38]) ).
cnf(c_0_49,plain,
difference(X1,product(X2,X1)) = product(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_41,c_0_45]) ).
cnf(c_0_50,plain,
product(difference(b2,b1),b2) = b3,
inference(spm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_51,plain,
quotient(c3,c2) = difference(c2,c1),
inference(spm,[status(thm)],[c_0_41,c_0_47]) ).
cnf(c_0_52,plain,
product(product(b2,X1),b3) = product(b1,product(X1,b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_48]),c_0_29]) ).
cnf(c_0_53,plain,
product(X1,quotient(difference(X1,X2),X1)) = quotient(X2,X1),
inference(spm,[status(thm)],[c_0_37,c_0_40]) ).
cnf(c_0_54,plain,
product(product(product(X1,X2),X2),product(X2,product(X2,X1))) = X2,
i_0_7 ).
cnf(c_0_55,plain,
product(difference(b2,difference(b2,b1)),b2) = difference(b2,b3),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
product(difference(c2,c1),c2) = c3,
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_57,plain,
product(quotient(X1,b2),b3) = product(b1,difference(b2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_34]) ).
cnf(c_0_58,plain,
product(product(difference(b2,b3),b2),b1) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_40]),c_0_40]) ).
cnf(c_0_59,plain,
d(a1,a2,a3),
i_0_11 ).
cnf(c_0_60,plain,
product(product(c3,c2),product(c2,c1)) = c2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_56]),c_0_40]) ).
cnf(c_0_61,plain,
product(product(c2,X1),product(c3,X2)) = product(product(c1,c2),product(X1,X2)),
inference(spm,[status(thm)],[c_0_28,c_0_43]) ).
cnf(c_0_62,plain,
product(product(X1,b2),product(X2,b3)) = product(product(X1,X2),product(b1,b2)),
inference(spm,[status(thm)],[c_0_28,c_0_38]) ).
cnf(c_0_63,plain,
product(difference(b2,b1),b3) = product(b1,difference(b2,b3)),
inference(spm,[status(thm)],[c_0_57,c_0_46]) ).
cnf(c_0_64,plain,
product(product(b1,X1),product(b1,b2)) = product(b1,product(X1,b2)),
inference(rw,[status(thm)],[c_0_48,c_0_52]) ).
cnf(c_0_65,plain,
product(difference(b2,b3),b2) = quotient(b2,b1),
inference(spm,[status(thm)],[c_0_31,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
~ d(product(product(a1,b3),product(c2,a1)),product(product(a2,b1),product(c3,a2)),product(product(a3,b2),product(c1,a3))),
i_0_14 ).
cnf(c_0_67,plain,
( d(X1,X2,X3)
| product(X1,X2) != product(X2,X3) ),
i_0_8 ).
cnf(c_0_68,plain,
product(a2,a3) = product(a1,a2),
inference(spm,[status(thm)],[c_0_35,c_0_59]) ).
cnf(c_0_69,plain,
product(product(c3,c1),c2) = product(c2,product(c3,c2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_60]),c_0_61]),c_0_30]),c_0_29]),c_0_30]) ).
cnf(c_0_70,plain,
product(b1,quotient(b2,b1)) = b3,
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_62,c_0_63]),c_0_50]),c_0_29]),c_0_29]),c_0_64]),c_0_65]) ).
cnf(c_0_71,negated_conjecture,
product(product(product(a1,a2),product(b3,b1)),product(product(c2,a1),product(c3,a2))) != product(product(product(a1,a2),product(b1,b2)),product(product(c3,a2),product(c1,a3))),
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_66,c_0_67]),c_0_28]),c_0_28]),c_0_68]),c_0_28]),c_0_28]) ).
cnf(c_0_72,plain,
product(product(X1,a2),product(X2,a3)) = product(product(X1,X2),product(a1,a2)),
inference(spm,[status(thm)],[c_0_28,c_0_68]) ).
cnf(c_0_73,plain,
product(c3,c1) = product(c1,c2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_69]),c_0_33]),c_0_43]) ).
cnf(c_0_74,plain,
quotient(b2,b1) = difference(b1,b3),
inference(spm,[status(thm)],[c_0_41,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
product(product(product(a1,a2),product(b3,b1)),product(product(c1,a1),product(c2,a2))) != product(product(product(a1,a2),product(b1,b2)),product(product(c3,a2),product(c1,a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_61]),c_0_28]) ).
cnf(c_0_76,plain,
product(product(c3,a2),product(c1,a3)) = product(product(c1,a1),product(c2,a2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_28]) ).
cnf(c_0_77,plain,
product(difference(b1,b3),b1) = b2,
inference(spm,[status(thm)],[c_0_34,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
product(product(product(a1,a2),product(b3,b1)),product(product(c1,a1),product(c2,a2))) != product(product(product(a1,a2),product(b1,b2)),product(product(c1,a1),product(c2,a2))),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_79,plain,
product(b3,b1) = product(b1,b2),
inference(spm,[status(thm)],[c_0_45,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP780+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 14:58:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.31/2.34 # ENIGMATIC: Solved by autoschedule:
% 7.31/2.34 # No SInE strategy applied
% 7.31/2.34 # Trying AutoSched0 for 150 seconds
% 7.31/2.34 # AutoSched0-Mode selected heuristic G_____0010_evo
% 7.31/2.34 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.31/2.34 #
% 7.31/2.34 # Preprocessing time : 0.023 s
% 7.31/2.34
% 7.31/2.34 # Proof found!
% 7.31/2.34 # SZS status Theorem
% 7.31/2.34 # SZS output start CNFRefutation
% See solution above
% 7.31/2.34 # Training examples: 0 positive, 0 negative
% 7.31/2.34
% 7.31/2.34 # -------------------------------------------------
% 7.31/2.34 # User time : 0.083 s
% 7.31/2.34 # System time : 0.014 s
% 7.31/2.34 # Total time : 0.097 s
% 7.31/2.34 # Maximum resident set size: 7116 pages
% 7.31/2.34
%------------------------------------------------------------------------------