%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP660+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 08:40:05 EDT 2022
% Result : Theorem 8.54s 2.45s
% Output : CNFRefutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of clauses : 72 ( 70 unt; 0 nHn; 4 RR)
% Number of literals : 74 ( 73 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5brfil1e/input.p',i_0_4) ).
cnf(i_0_5,plain,
mult(mult(mult(X1,X2),X3),X1) = mult(X1,mult(X2,mult(X3,X1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5brfil1e/input.p',i_0_5) ).
cnf(i_0_3,plain,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5brfil1e/input.p',i_0_3) ).
cnf(i_0_1,plain,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5brfil1e/input.p',i_0_1) ).
cnf(i_0_2,plain,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5brfil1e/input.p',i_0_2) ).
cnf(i_0_6,negated_conjecture,
( mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0
| mult(rd(esk2_0,esk2_0),esk1_0) != esk1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5brfil1e/input.p',i_0_6) ).
cnf(c_0_13,plain,
rd(mult(X1,X2),X2) = X1,
i_0_4 ).
cnf(c_0_14,plain,
mult(mult(mult(X1,X2),X3),X1) = mult(X1,mult(X2,mult(X3,X1))),
i_0_5 ).
cnf(c_0_15,plain,
rd(mult(X1,mult(X2,mult(X3,X1))),X1) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
mult(rd(X1,X2),X2) = X1,
i_0_3 ).
cnf(c_0_17,plain,
mult(X1,ld(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_18,plain,
rd(mult(X1,mult(X2,X3)),X1) = mult(mult(X1,X2),rd(X3,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
ld(X1,mult(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_20,plain,
mult(X1,mult(ld(X1,X2),mult(X3,X1))) = mult(mult(X2,X3),X1),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_21,plain,
mult(mult(X1,rd(X2,X3)),rd(X3,X1)) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_22,plain,
mult(ld(X1,X2),mult(X3,X1)) = ld(X1,mult(mult(X2,X3),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
rd(rd(mult(X1,X2),X1),rd(X3,X1)) = mult(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_24,plain,
ld(X1,mult(mult(X2,rd(X3,X1)),X1)) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_25,plain,
mult(X1,rd(X1,X2)) = rd(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_26,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_27,plain,
mult(ld(X1,rd(X2,rd(X3,X1))),X3) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_28,plain,
rd(X1,rd(ld(X2,X1),X1)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
rd(ld(X1,mult(X2,X1)),X3) = ld(X1,rd(X2,rd(X3,X1))),
inference(spm,[status(thm)],[c_0_13,c_0_27]) ).
cnf(c_0_30,plain,
rd(mult(X1,X2),ld(X2,rd(X1,X1))) = mult(mult(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_13]) ).
cnf(c_0_31,plain,
ld(X1,rd(X1,rd(X2,X1))) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_32,plain,
rd(X1,ld(ld(X2,X1),rd(X2,X2))) = mult(X1,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_33,plain,
ld(X1,rd(X1,X2)) = rd(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_31,c_0_13]) ).
cnf(c_0_34,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_35,plain,
mult(rd(X1,X1),rd(X1,mult(X1,X1))) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_32]),c_0_33]),c_0_33]) ).
cnf(c_0_36,plain,
ld(mult(X1,X2),X1) = rd(ld(X2,X1),X1),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_37,plain,
mult(ld(mult(X1,X1),rd(X1,X1)),X1) = rd(ld(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_35]),c_0_16]),c_0_36]) ).
cnf(c_0_38,plain,
mult(X1,mult(X2,mult(ld(mult(X1,X2),X3),X1))) = mult(X3,X1),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_39,plain,
ld(mult(X1,X1),rd(X1,X1)) = rd(rd(ld(X1,X1),X1),X1),
inference(spm,[status(thm)],[c_0_13,c_0_37]) ).
cnf(c_0_40,plain,
mult(X1,rd(ld(X1,X2),X3)) = rd(rd(X2,X1),rd(X3,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_41,plain,
mult(X1,rd(rd(X1,X1),rd(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_16]),c_0_40]),c_0_16]) ).
cnf(c_0_42,plain,
mult(mult(X1,X2),rd(ld(X2,X3),X1)) = rd(mult(X1,X3),X1),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_43,plain,
rd(X1,rd(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_41]),c_0_34]),c_0_41]) ).
cnf(c_0_44,plain,
mult(X1,rd(X2,mult(X3,X1))) = rd(rd(mult(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_45,plain,
mult(X1,rd(ld(X2,X3),rd(X1,X2))) = rd(mult(rd(X1,X2),X3),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_42,c_0_16]) ).
cnf(c_0_46,plain,
rd(X1,rd(rd(X1,X1),rd(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_41]) ).
cnf(c_0_47,plain,
ld(X1,X1) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_48,plain,
rd(ld(X1,rd(X2,X1)),rd(X2,X1)) = rd(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_16]),c_0_33]) ).
cnf(c_0_49,plain,
ld(X1,rd(rd(mult(X1,X2),X1),X3)) = rd(X2,mult(X3,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_44]) ).
cnf(c_0_50,plain,
rd(mult(rd(X1,X1),X2),rd(X1,X1)) = rd(rd(X2,X1),rd(rd(X1,X1),X1)),
inference(spm,[status(thm)],[c_0_40,c_0_45]) ).
cnf(c_0_51,plain,
ld(X1,rd(rd(X2,X1),rd(X3,X1))) = rd(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_19,c_0_40]) ).
cnf(c_0_52,plain,
rd(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_46]),c_0_47]) ).
cnf(c_0_53,plain,
rd(rd(X1,mult(X1,X1)),rd(X1,X1)) = rd(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_48,c_0_33]) ).
cnf(c_0_54,plain,
rd(ld(X1,X2),mult(X3,X1)) = ld(X1,rd(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_55,plain,
mult(mult(rd(X1,X1),rd(X2,X1)),X1) = rd(rd(X2,X1),rd(rd(X1,X1),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_43]),c_0_50]) ).
cnf(c_0_56,plain,
rd(X1,mult(X1,X1)) = rd(rd(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_33]),c_0_47]) ).
cnf(c_0_57,plain,
mult(rd(X1,mult(X1,X1)),rd(X1,X1)) = rd(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_53]) ).
cnf(c_0_58,plain,
rd(rd(X1,rd(X2,X1)),rd(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_59,plain,
ld(ld(X1,rd(rd(X2,X1),X3)),ld(X1,X2)) = mult(X3,X1),
inference(spm,[status(thm)],[c_0_34,c_0_54]) ).
cnf(c_0_60,plain,
ld(mult(X1,X2),rd(mult(X1,X3),X1)) = rd(ld(X2,X3),X1),
inference(spm,[status(thm)],[c_0_19,c_0_42]) ).
cnf(c_0_61,plain,
rd(ld(X1,X2),rd(X1,X1)) = mult(rd(rd(X1,X1),X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_55]),c_0_51]),c_0_33]),c_0_56]) ).
cnf(c_0_62,plain,
mult(X1,rd(rd(X1,mult(X2,X1)),X3)) = rd(rd(rd(X1,X2),X1),rd(X3,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_63,plain,
mult(rd(rd(X1,X1),X1),rd(X1,X1)) = rd(rd(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_56]),c_0_56]) ).
cnf(c_0_64,plain,
rd(rd(X1,X1),rd(rd(X1,X1),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_13]) ).
cnf(c_0_65,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(ld(X2,rd(X3,X1)),X1),
inference(spm,[status(thm)],[c_0_59,c_0_26]) ).
cnf(c_0_66,plain,
rd(ld(X1,ld(X2,X3)),X2) = ld(mult(X2,X1),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_60,c_0_17]) ).
cnf(c_0_67,plain,
rd(ld(rd(X1,X1),X2),rd(X1,X1)) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_52]),c_0_52]) ).
cnf(c_0_68,plain,
mult(rd(X1,X1),rd(X1,X2)) = rd(X1,rd(X2,rd(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_64]),c_0_43]) ).
cnf(c_0_69,plain,
mult(X1,rd(rd(X1,X1),X2)) = rd(rd(X1,X1),rd(X2,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_70,plain,
ld(rd(X1,X1),ld(X1,X2)) = mult(ld(X1,rd(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_65,c_0_47]) ).
cnf(c_0_71,plain,
ld(rd(X1,X1),rd(X2,rd(X1,X1))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_17]),c_0_68]),c_0_43]) ).
cnf(c_0_72,plain,
rd(rd(X1,X1),rd(ld(X2,rd(X1,X1)),X1)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_69,c_0_26]) ).
cnf(c_0_73,plain,
ld(rd(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_52]),c_0_71]),c_0_16]) ).
cnf(c_0_74,negated_conjecture,
( mult(esk1_0,rd(esk2_0,esk2_0)) != esk1_0
| mult(rd(esk2_0,esk2_0),esk1_0) != esk1_0 ),
i_0_6 ).
cnf(c_0_75,plain,
mult(X1,rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_64]) ).
cnf(c_0_76,negated_conjecture,
mult(rd(esk2_0,esk2_0),esk1_0) != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).
cnf(c_0_77,plain,
mult(rd(X1,X1),X2) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_73]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP660+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n017.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 20:17:25 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.54/2.45 # ENIGMATIC: Solved by autoschedule:
% 8.54/2.45 # No SInE strategy applied
% 8.54/2.45 # Trying AutoSched0 for 150 seconds
% 8.54/2.45 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 8.54/2.45 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.54/2.45 #
% 8.54/2.45 # Preprocessing time : 0.013 s
% 8.54/2.45 # Presaturation interreduction done
% 8.54/2.45
% 8.54/2.45 # Proof found!
% 8.54/2.45 # SZS status Theorem
% 8.54/2.45 # SZS output start CNFRefutation
% See solution above
% 8.54/2.45 # Training examples: 0 positive, 0 negative
% 8.54/2.45
% 8.54/2.45 # -------------------------------------------------
% 8.54/2.45 # User time : 0.119 s
% 8.54/2.45 # System time : 0.007 s
% 8.54/2.45 # Total time : 0.126 s
% 8.54/2.45 # Maximum resident set size: 7124 pages
% 8.54/2.45
%------------------------------------------------------------------------------